%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP198-1 : TPTP v9.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:07:27 AM UTC 2025
% Result : Unsatisfiable 60.09s 60.32s
% Output : Proof 60.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : GRP198-1 : TPTP v9.0.0. Released v2.2.0.
% 0.01/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 15:47:48 EDT 2025
% 0.12/0.33 % CPUTime :
% 60.09/60.32 % SZS status Unsatisfiable
% 60.09/60.32 % SZS output start Proof
% 60.09/60.32 tff(multiply_type, type, (
% 60.09/60.32 multiply: ( $i * $i ) > $i)).
% 60.09/60.32 tff(b_type, type, (
% 60.09/60.32 b: $i)).
% 60.09/60.32 tff(a_type, type, (
% 60.09/60.32 a: $i)).
% 60.09/60.32 tff(inj_0_type, type, (
% 60.09/60.32 inj_0: ( $i * $i ) > $i)).
% 60.09/60.32 tff(inj_1_type, type, (
% 60.09/60.32 inj_1: ( $i * $i ) > $i)).
% 60.09/60.32 tff(1,plain,
% 60.09/60.32 (![B: $i, A: $i, C: $i] : ((~(multiply(A, B) = multiply(C, B))) | (A = C)) <=> ![Xk!0: $i, Xk!1: $i] : (inj_0(Xk!0, multiply(Xk!1, Xk!0)) = Xk!1)),
% 60.09/60.32 inference(rewrite,[status(thm)],[])).
% 60.09/60.32 tff(2,plain,
% 60.09/60.32 (![B: $i, A: $i, C: $i] : ((~(multiply(A, B) = multiply(C, B))) | (A = C)) <=> ![B: $i, A: $i, C: $i] : ((~(multiply(A, B) = multiply(C, B))) | (A = C))),
% 60.09/60.32 inference(rewrite,[status(thm)],[])).
% 60.09/60.32 tff(3,axiom,(![B: $i, A: $i, C: $i] : ((~(multiply(A, B) = multiply(C, B))) | (A = C))), file('/export/starexec/sandbox/benchmark/Axioms/GRP008-1.ax','right_cancellation')).
% 60.09/60.32 tff(4,plain,
% 60.09/60.32 (![B: $i, A: $i, C: $i] : ((~(multiply(A, B) = multiply(C, B))) | (A = C))),
% 60.09/60.32 inference(modus_ponens,[status(thm)],[3, 2])).
% 60.09/60.32 tff(5,plain,(
% 60.09/60.32 ![B: $i, A: $i, C: $i] : ((~(multiply(A, B) = multiply(C, B))) | (A = C))),
% 60.09/60.32 inference(skolemize,[status(sab)],[4])).
% 60.09/60.32 tff(6,plain,
% 60.09/60.32 (![Xk!0: $i, Xk!1: $i] : (inj_0(Xk!0, multiply(Xk!1, Xk!0)) = Xk!1)),
% 60.09/60.32 inference(modus_ponens,[status(thm)],[5, 1])).
% 60.09/60.32 tff(7,plain,
% 60.09/60.32 ((~![Xk!0: $i, Xk!1: $i] : (inj_0(Xk!0, multiply(Xk!1, Xk!0)) = Xk!1)) | (inj_0(multiply(multiply(multiply(a, a), b), multiply(b, b)), multiply(multiply(a, multiply(a, multiply(b, multiply(b, multiply(b, b))))), multiply(multiply(multiply(a, a), b), multiply(b, b)))) = multiply(a, multiply(a, multiply(b, multiply(b, multiply(b, b))))))),
% 60.09/60.32 inference(quant_inst,[status(thm)],[])).
% 60.09/60.32 tff(8,plain,
% 60.09/60.32 (inj_0(multiply(multiply(multiply(a, a), b), multiply(b, b)), multiply(multiply(a, multiply(a, multiply(b, multiply(b, multiply(b, b))))), multiply(multiply(multiply(a, a), b), multiply(b, b)))) = multiply(a, multiply(a, multiply(b, multiply(b, multiply(b, b)))))),
% 60.09/60.32 inference(unit_resolution,[status(thm)],[7, 6])).
% 60.09/60.32 tff(9,plain,
% 60.09/60.32 (^[Z: $i, Y: $i, X: $i] : refl((multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))) <=> (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))))),
% 60.09/60.32 inference(bind,[status(th)],[])).
% 60.09/60.32 tff(10,plain,
% 60.09/60.32 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))) <=> ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 60.09/60.32 inference(quant_intro,[status(thm)],[9])).
% 60.09/60.32 tff(11,plain,
% 60.09/60.32 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z))) <=> ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 60.09/60.32 inference(rewrite,[status(thm)],[])).
% 60.09/60.32 tff(12,axiom,(![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))), file('/export/starexec/sandbox/benchmark/Axioms/GRP008-0.ax','associativity_of_multiply')).
% 60.09/60.32 tff(13,plain,
% 60.09/60.32 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 60.09/60.32 inference(modus_ponens,[status(thm)],[12, 11])).
% 60.09/60.32 tff(14,plain,(
% 60.09/60.32 ![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 60.09/60.32 inference(skolemize,[status(sab)],[13])).
% 60.09/60.32 tff(15,plain,
% 60.09/60.32 (![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))),
% 60.09/60.32 inference(modus_ponens,[status(thm)],[14, 10])).
% 60.09/60.32 tff(16,plain,
% 60.09/60.32 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), b) = multiply(multiply(multiply(a, a), b), multiply(multiply(b, b), b)))),
% 60.09/60.32 inference(quant_inst,[status(thm)],[])).
% 60.09/60.32 tff(17,plain,
% 60.09/60.32 (multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), b) = multiply(multiply(multiply(a, a), b), multiply(multiply(b, b), b))),
% 60.09/60.32 inference(unit_resolution,[status(thm)],[16, 15])).
% 60.09/60.32 tff(18,plain,
% 60.09/60.32 (multiply(multiply(multiply(a, a), b), multiply(multiply(b, b), b)) = multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), b)),
% 60.09/60.32 inference(symmetry,[status(thm)],[17])).
% 60.19/60.33 tff(19,plain,
% 60.19/60.33 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, b), b) = multiply(b, multiply(b, b)))),
% 60.19/60.33 inference(quant_inst,[status(thm)],[])).
% 60.19/60.33 tff(20,plain,
% 60.19/60.33 (multiply(multiply(b, b), b) = multiply(b, multiply(b, b))),
% 60.19/60.33 inference(unit_resolution,[status(thm)],[19, 15])).
% 60.19/60.33 tff(21,plain,
% 60.19/60.33 (multiply(multiply(multiply(a, a), b), multiply(multiply(b, b), b)) = multiply(multiply(multiply(a, a), b), multiply(b, multiply(b, b)))),
% 60.19/60.33 inference(monotonicity,[status(thm)],[20])).
% 60.19/60.33 tff(22,plain,
% 60.19/60.33 (multiply(multiply(multiply(a, a), b), multiply(b, multiply(b, b))) = multiply(multiply(multiply(a, a), b), multiply(multiply(b, b), b))),
% 60.19/60.33 inference(symmetry,[status(thm)],[21])).
% 60.19/60.33 tff(23,plain,
% 60.19/60.33 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(a, a), b), multiply(b, multiply(b, b))) = multiply(multiply(a, a), multiply(b, multiply(b, multiply(b, b)))))),
% 60.19/60.33 inference(quant_inst,[status(thm)],[])).
% 60.19/60.33 tff(24,plain,
% 60.19/60.33 (multiply(multiply(multiply(a, a), b), multiply(b, multiply(b, b))) = multiply(multiply(a, a), multiply(b, multiply(b, multiply(b, b))))),
% 60.19/60.33 inference(unit_resolution,[status(thm)],[23, 15])).
% 60.19/60.33 tff(25,plain,
% 60.19/60.33 (multiply(multiply(a, a), multiply(b, multiply(b, multiply(b, b)))) = multiply(multiply(multiply(a, a), b), multiply(b, multiply(b, b)))),
% 60.19/60.33 inference(symmetry,[status(thm)],[24])).
% 60.19/60.33 tff(26,plain,
% 60.19/60.33 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, a), multiply(b, multiply(b, multiply(b, b)))) = multiply(a, multiply(a, multiply(b, multiply(b, multiply(b, b))))))),
% 60.19/60.33 inference(quant_inst,[status(thm)],[])).
% 60.19/60.33 tff(27,plain,
% 60.19/60.33 (multiply(multiply(a, a), multiply(b, multiply(b, multiply(b, b)))) = multiply(a, multiply(a, multiply(b, multiply(b, multiply(b, b)))))),
% 60.19/60.33 inference(unit_resolution,[status(thm)],[26, 15])).
% 60.19/60.33 tff(28,plain,
% 60.19/60.33 (multiply(a, multiply(a, multiply(b, multiply(b, multiply(b, b))))) = multiply(multiply(a, a), multiply(b, multiply(b, multiply(b, b))))),
% 60.19/60.33 inference(symmetry,[status(thm)],[27])).
% 60.19/60.33 tff(29,plain,
% 60.19/60.33 (multiply(a, multiply(a, multiply(b, multiply(b, multiply(b, b))))) = multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), b)),
% 60.19/60.33 inference(transitivity,[status(thm)],[28, 25, 22, 18])).
% 60.19/60.33 tff(30,plain,
% 60.19/60.33 (multiply(multiply(a, multiply(a, multiply(b, multiply(b, multiply(b, b))))), multiply(multiply(multiply(a, a), b), multiply(b, b))) = multiply(multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), b), multiply(multiply(multiply(a, a), b), multiply(b, b)))),
% 60.19/60.33 inference(monotonicity,[status(thm)],[29])).
% 60.19/60.33 tff(31,plain,
% 60.19/60.33 (multiply(multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), b), multiply(multiply(multiply(a, a), b), multiply(b, b))) = multiply(multiply(a, multiply(a, multiply(b, multiply(b, multiply(b, b))))), multiply(multiply(multiply(a, a), b), multiply(b, b)))),
% 60.19/60.33 inference(symmetry,[status(thm)],[30])).
% 60.19/60.33 tff(32,plain,
% 60.19/60.33 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), b), multiply(multiply(multiply(a, a), b), multiply(b, b))) = multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), multiply(b, multiply(multiply(multiply(a, a), b), multiply(b, b)))))),
% 60.19/60.33 inference(quant_inst,[status(thm)],[])).
% 60.19/60.33 tff(33,plain,
% 60.19/60.33 (multiply(multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), b), multiply(multiply(multiply(a, a), b), multiply(b, b))) = multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), multiply(b, multiply(multiply(multiply(a, a), b), multiply(b, b))))),
% 60.19/60.33 inference(unit_resolution,[status(thm)],[32, 15])).
% 60.19/60.33 tff(34,plain,
% 60.19/60.33 (multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), multiply(b, multiply(multiply(multiply(a, a), b), multiply(b, b)))) = multiply(multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), b), multiply(multiply(multiply(a, a), b), multiply(b, b)))),
% 60.19/60.33 inference(symmetry,[status(thm)],[33])).
% 60.19/60.33 tff(35,plain,
% 60.19/60.33 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, multiply(multiply(a, a), multiply(b, b))), b) = multiply(b, multiply(multiply(multiply(a, a), multiply(b, b)), b)))),
% 60.19/60.33 inference(quant_inst,[status(thm)],[])).
% 60.19/60.33 tff(36,plain,
% 60.19/60.33 (multiply(multiply(b, multiply(multiply(a, a), multiply(b, b))), b) = multiply(b, multiply(multiply(multiply(a, a), multiply(b, b)), b))),
% 60.19/60.33 inference(unit_resolution,[status(thm)],[35, 15])).
% 60.19/60.33 tff(37,plain,
% 60.19/60.33 (multiply(b, multiply(multiply(multiply(a, a), multiply(b, b)), b)) = multiply(multiply(b, multiply(multiply(a, a), multiply(b, b))), b)),
% 60.19/60.33 inference(symmetry,[status(thm)],[36])).
% 60.19/60.33 tff(38,plain,
% 60.19/60.33 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(a, a), b), b), b) = multiply(multiply(multiply(a, a), b), multiply(b, b)))),
% 60.19/60.33 inference(quant_inst,[status(thm)],[])).
% 60.19/60.33 tff(39,plain,
% 60.19/60.33 (multiply(multiply(multiply(multiply(a, a), b), b), b) = multiply(multiply(multiply(a, a), b), multiply(b, b))),
% 60.19/60.33 inference(unit_resolution,[status(thm)],[38, 15])).
% 60.19/60.33 tff(40,plain,
% 60.19/60.33 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(a, a), b), b) = multiply(multiply(a, a), multiply(b, b)))),
% 60.19/60.33 inference(quant_inst,[status(thm)],[])).
% 60.19/60.33 tff(41,plain,
% 60.19/60.33 (multiply(multiply(multiply(a, a), b), b) = multiply(multiply(a, a), multiply(b, b))),
% 60.19/60.33 inference(unit_resolution,[status(thm)],[40, 15])).
% 60.19/60.33 tff(42,plain,
% 60.19/60.33 (multiply(multiply(a, a), multiply(b, b)) = multiply(multiply(multiply(a, a), b), b)),
% 60.19/60.33 inference(symmetry,[status(thm)],[41])).
% 60.19/60.33 tff(43,plain,
% 60.19/60.33 (multiply(multiply(multiply(a, a), multiply(b, b)), b) = multiply(multiply(multiply(multiply(a, a), b), b), b)),
% 60.19/60.33 inference(monotonicity,[status(thm)],[42])).
% 60.19/60.33 tff(44,plain,
% 60.19/60.33 (multiply(multiply(multiply(a, a), multiply(b, b)), b) = multiply(multiply(multiply(a, a), b), multiply(b, b))),
% 60.19/60.33 inference(transitivity,[status(thm)],[43, 39])).
% 60.19/60.33 tff(45,plain,
% 60.19/60.33 (multiply(b, multiply(multiply(multiply(a, a), multiply(b, b)), b)) = multiply(b, multiply(multiply(multiply(a, a), b), multiply(b, b)))),
% 60.19/60.33 inference(monotonicity,[status(thm)],[44])).
% 60.19/60.33 tff(46,plain,
% 60.19/60.33 (multiply(b, multiply(multiply(multiply(a, a), b), multiply(b, b))) = multiply(b, multiply(multiply(multiply(a, a), multiply(b, b)), b))),
% 60.19/60.33 inference(symmetry,[status(thm)],[45])).
% 60.19/60.33 tff(47,plain,
% 60.19/60.33 (multiply(b, multiply(multiply(multiply(a, a), b), multiply(b, b))) = multiply(multiply(b, multiply(multiply(a, a), multiply(b, b))), b)),
% 60.19/60.33 inference(transitivity,[status(thm)],[46, 37])).
% 60.19/60.33 tff(48,plain,
% 60.19/60.33 (multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), multiply(b, multiply(multiply(multiply(a, a), b), multiply(b, b)))) = multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), multiply(multiply(b, multiply(multiply(a, a), multiply(b, b))), b))),
% 60.19/60.33 inference(monotonicity,[status(thm)],[47])).
% 60.19/60.33 tff(49,plain,
% 60.19/60.33 (multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), multiply(multiply(b, multiply(multiply(a, a), multiply(b, b))), b)) = multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), multiply(b, multiply(multiply(multiply(a, a), b), multiply(b, b))))),
% 60.19/60.33 inference(symmetry,[status(thm)],[48])).
% 60.19/60.33 tff(50,plain,
% 60.19/60.33 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), multiply(b, multiply(multiply(a, a), multiply(b, b)))), b) = multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), multiply(multiply(b, multiply(multiply(a, a), multiply(b, b))), b)))),
% 60.19/60.33 inference(quant_inst,[status(thm)],[])).
% 60.19/60.33 tff(51,plain,
% 60.19/60.33 (multiply(multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), multiply(b, multiply(multiply(a, a), multiply(b, b)))), b) = multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), multiply(multiply(b, multiply(multiply(a, a), multiply(b, b))), b))),
% 60.19/60.33 inference(unit_resolution,[status(thm)],[50, 15])).
% 60.19/60.33 tff(52,plain,
% 60.19/60.33 (![B: $i, A: $i, C: $i] : ((~(multiply(A, B) = multiply(A, C))) | (B = C)) <=> ![Xk!0: $i, Xk!1: $i] : (inj_1(Xk!1, multiply(Xk!1, Xk!0)) = Xk!0)),
% 60.19/60.33 inference(rewrite,[status(thm)],[])).
% 60.19/60.33 tff(53,plain,
% 60.19/60.33 (![B: $i, A: $i, C: $i] : ((~(multiply(A, B) = multiply(A, C))) | (B = C)) <=> ![B: $i, A: $i, C: $i] : ((~(multiply(A, B) = multiply(A, C))) | (B = C))),
% 60.19/60.33 inference(rewrite,[status(thm)],[])).
% 60.19/60.33 tff(54,axiom,(![B: $i, A: $i, C: $i] : ((~(multiply(A, B) = multiply(A, C))) | (B = C))), file('/export/starexec/sandbox/benchmark/Axioms/GRP008-1.ax','left_cancellation')).
% 60.19/60.33 tff(55,plain,
% 60.19/60.33 (![B: $i, A: $i, C: $i] : ((~(multiply(A, B) = multiply(A, C))) | (B = C))),
% 60.19/60.33 inference(modus_ponens,[status(thm)],[54, 53])).
% 60.19/60.33 tff(56,plain,(
% 60.19/60.33 ![B: $i, A: $i, C: $i] : ((~(multiply(A, B) = multiply(A, C))) | (B = C))),
% 60.19/60.33 inference(skolemize,[status(sab)],[55])).
% 60.19/60.33 tff(57,plain,
% 60.19/60.33 (![Xk!0: $i, Xk!1: $i] : (inj_1(Xk!1, multiply(Xk!1, Xk!0)) = Xk!0)),
% 60.19/60.33 inference(modus_ponens,[status(thm)],[56, 52])).
% 60.19/60.33 tff(58,plain,
% 60.19/60.33 ((~![Xk!0: $i, Xk!1: $i] : (inj_1(Xk!1, multiply(Xk!1, Xk!0)) = Xk!0)) | (inj_1(a, multiply(a, multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))))) = multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))))),
% 60.19/60.33 inference(quant_inst,[status(thm)],[])).
% 60.19/60.33 tff(59,plain,
% 60.19/60.33 (inj_1(a, multiply(a, multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))))) = multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))),
% 60.19/60.33 inference(unit_resolution,[status(thm)],[58, 57])).
% 60.19/60.33 tff(60,plain,
% 60.19/60.33 ((~![Xk!0: $i, Xk!1: $i] : (inj_1(Xk!1, multiply(Xk!1, Xk!0)) = Xk!0)) | (inj_1(a, multiply(a, multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b)))))))) = multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b)))))))),
% 60.19/60.33 inference(quant_inst,[status(thm)],[])).
% 60.19/60.33 tff(61,plain,
% 60.19/60.33 (inj_1(a, multiply(a, multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b)))))))) = multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b))))))),
% 60.19/60.33 inference(unit_resolution,[status(thm)],[60, 57])).
% 60.19/60.33 tff(62,plain,
% 60.19/60.33 (^[Y: $i, X: $i] : refl((multiply(X, multiply(Y, multiply(Y, multiply(Y, multiply(X, Y))))) = multiply(Y, multiply(Y, multiply(Y, multiply(Y, multiply(X, X)))))) <=> (multiply(X, multiply(Y, multiply(Y, multiply(Y, multiply(X, Y))))) = multiply(Y, multiply(Y, multiply(Y, multiply(Y, multiply(X, X)))))))),
% 60.19/60.33 inference(bind,[status(th)],[])).
% 60.19/60.33 tff(63,plain,
% 60.19/60.33 (![Y: $i, X: $i] : (multiply(X, multiply(Y, multiply(Y, multiply(Y, multiply(X, Y))))) = multiply(Y, multiply(Y, multiply(Y, multiply(Y, multiply(X, X)))))) <=> ![Y: $i, X: $i] : (multiply(X, multiply(Y, multiply(Y, multiply(Y, multiply(X, Y))))) = multiply(Y, multiply(Y, multiply(Y, multiply(Y, multiply(X, X))))))),
% 60.19/60.33 inference(quant_intro,[status(thm)],[62])).
% 60.19/60.33 tff(64,plain,
% 60.19/60.33 (![Y: $i, X: $i] : (multiply(X, multiply(Y, multiply(Y, multiply(Y, multiply(X, Y))))) = multiply(Y, multiply(Y, multiply(Y, multiply(Y, multiply(X, X)))))) <=> ![Y: $i, X: $i] : (multiply(X, multiply(Y, multiply(Y, multiply(Y, multiply(X, Y))))) = multiply(Y, multiply(Y, multiply(Y, multiply(Y, multiply(X, X))))))),
% 60.19/60.33 inference(rewrite,[status(thm)],[])).
% 60.19/60.33 tff(65,axiom,(![Y: $i, X: $i] : (multiply(X, multiply(Y, multiply(Y, multiply(Y, multiply(X, Y))))) = multiply(Y, multiply(Y, multiply(Y, multiply(Y, multiply(X, X))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','condition')).
% 60.19/60.33 tff(66,plain,
% 60.19/60.33 (![Y: $i, X: $i] : (multiply(X, multiply(Y, multiply(Y, multiply(Y, multiply(X, Y))))) = multiply(Y, multiply(Y, multiply(Y, multiply(Y, multiply(X, X))))))),
% 60.19/60.33 inference(modus_ponens,[status(thm)],[65, 64])).
% 60.19/60.33 tff(67,plain,(
% 60.19/60.33 ![Y: $i, X: $i] : (multiply(X, multiply(Y, multiply(Y, multiply(Y, multiply(X, Y))))) = multiply(Y, multiply(Y, multiply(Y, multiply(Y, multiply(X, X))))))),
% 60.19/60.33 inference(skolemize,[status(sab)],[66])).
% 60.19/60.33 tff(68,plain,
% 60.19/60.33 (![Y: $i, X: $i] : (multiply(X, multiply(Y, multiply(Y, multiply(Y, multiply(X, Y))))) = multiply(Y, multiply(Y, multiply(Y, multiply(Y, multiply(X, X))))))),
% 60.19/60.33 inference(modus_ponens,[status(thm)],[67, 63])).
% 60.19/60.33 tff(69,plain,
% 60.19/60.33 ((~![Y: $i, X: $i] : (multiply(X, multiply(Y, multiply(Y, multiply(Y, multiply(X, Y))))) = multiply(Y, multiply(Y, multiply(Y, multiply(Y, multiply(X, X))))))) | (multiply(multiply(multiply(a, b), multiply(b, b)), multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a))))) = multiply(a, multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b))))))))),
% 60.19/60.33 inference(quant_inst,[status(thm)],[])).
% 60.19/60.33 tff(70,plain,
% 60.19/60.33 (multiply(multiply(multiply(a, b), multiply(b, b)), multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a))))) = multiply(a, multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b)))))))),
% 60.19/60.33 inference(unit_resolution,[status(thm)],[69, 68])).
% 60.19/60.33 tff(71,plain,
% 60.19/60.33 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, b), multiply(b, b)) = multiply(a, multiply(b, multiply(b, b))))),
% 60.19/60.33 inference(quant_inst,[status(thm)],[])).
% 60.19/60.33 tff(72,plain,
% 60.19/60.33 (multiply(multiply(a, b), multiply(b, b)) = multiply(a, multiply(b, multiply(b, b)))),
% 60.19/60.33 inference(unit_resolution,[status(thm)],[71, 15])).
% 60.19/60.33 tff(73,plain,
% 60.19/60.33 (multiply(a, multiply(b, multiply(b, b))) = multiply(multiply(a, b), multiply(b, b))),
% 60.19/60.33 inference(symmetry,[status(thm)],[72])).
% 60.19/60.33 tff(74,plain,
% 60.19/60.33 (multiply(multiply(a, multiply(b, multiply(b, b))), multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a))))) = multiply(multiply(multiply(a, b), multiply(b, b)), multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a)))))),
% 60.19/60.33 inference(monotonicity,[status(thm)],[73])).
% 60.19/60.33 tff(75,plain,
% 60.19/60.33 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, multiply(b, multiply(b, b))), multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a))))) = multiply(a, multiply(multiply(b, multiply(b, b)), multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a)))))))),
% 60.19/60.33 inference(quant_inst,[status(thm)],[])).
% 60.19/60.33 tff(76,plain,
% 60.19/60.33 (multiply(multiply(a, multiply(b, multiply(b, b))), multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a))))) = multiply(a, multiply(multiply(b, multiply(b, b)), multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a))))))),
% 60.19/60.33 inference(unit_resolution,[status(thm)],[75, 15])).
% 60.19/60.33 tff(77,plain,
% 60.19/60.33 (multiply(a, multiply(multiply(b, multiply(b, b)), multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a)))))) = multiply(multiply(a, multiply(b, multiply(b, b))), multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a)))))),
% 60.19/60.33 inference(symmetry,[status(thm)],[76])).
% 60.19/60.33 tff(78,plain,
% 60.19/60.33 (multiply(a, multiply(multiply(b, multiply(b, b)), multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a)))))) = multiply(a, multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b)))))))),
% 60.19/60.33 inference(transitivity,[status(thm)],[77, 74, 70])).
% 60.19/60.33 tff(79,plain,
% 60.19/60.33 (inj_1(a, multiply(a, multiply(multiply(b, multiply(b, b)), multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a))))))) = inj_1(a, multiply(a, multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b))))))))),
% 60.19/60.33 inference(monotonicity,[status(thm)],[78])).
% 60.19/60.33 tff(80,plain,
% 60.19/60.33 ((~![Xk!0: $i, Xk!1: $i] : (inj_1(Xk!1, multiply(Xk!1, Xk!0)) = Xk!0)) | (inj_1(a, multiply(a, multiply(multiply(b, multiply(b, b)), multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a))))))) = multiply(multiply(b, multiply(b, b)), multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a))))))),
% 60.19/60.33 inference(quant_inst,[status(thm)],[])).
% 60.19/60.33 tff(81,plain,
% 60.19/60.33 (inj_1(a, multiply(a, multiply(multiply(b, multiply(b, b)), multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a))))))) = multiply(multiply(b, multiply(b, b)), multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a)))))),
% 60.19/60.33 inference(unit_resolution,[status(thm)],[80, 57])).
% 60.19/60.33 tff(82,plain,
% 60.19/60.33 (multiply(multiply(b, multiply(b, b)), multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a))))) = inj_1(a, multiply(a, multiply(multiply(b, multiply(b, b)), multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a)))))))),
% 60.19/60.33 inference(symmetry,[status(thm)],[81])).
% 60.19/60.33 tff(83,plain,
% 60.19/60.33 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, b), multiply(b, a)) = multiply(b, multiply(b, multiply(b, a))))),
% 60.19/60.33 inference(quant_inst,[status(thm)],[])).
% 60.19/60.33 tff(84,plain,
% 60.19/60.33 (multiply(multiply(b, b), multiply(b, a)) = multiply(b, multiply(b, multiply(b, a)))),
% 60.19/60.33 inference(unit_resolution,[status(thm)],[83, 15])).
% 60.19/60.33 tff(85,plain,
% 60.19/60.33 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, b), b), a) = multiply(multiply(b, b), multiply(b, a)))),
% 60.19/60.33 inference(quant_inst,[status(thm)],[])).
% 60.19/60.33 tff(86,plain,
% 60.19/60.33 (multiply(multiply(multiply(b, b), b), a) = multiply(multiply(b, b), multiply(b, a))),
% 60.19/60.33 inference(unit_resolution,[status(thm)],[85, 15])).
% 60.19/60.33 tff(87,plain,
% 60.19/60.33 (multiply(b, multiply(b, b)) = multiply(multiply(b, b), b)),
% 60.19/60.33 inference(symmetry,[status(thm)],[20])).
% 60.19/60.33 tff(88,plain,
% 60.19/60.33 (multiply(multiply(b, multiply(b, b)), a) = multiply(multiply(multiply(b, b), b), a)),
% 60.19/60.33 inference(monotonicity,[status(thm)],[87])).
% 60.19/60.33 tff(89,plain,
% 60.19/60.33 (multiply(multiply(b, multiply(b, b)), a) = multiply(b, multiply(b, multiply(b, a)))),
% 60.19/60.33 inference(transitivity,[status(thm)],[88, 86, 84])).
% 60.19/60.33 tff(90,plain,
% 60.19/60.33 (multiply(a, multiply(multiply(b, multiply(b, b)), a)) = multiply(a, multiply(b, multiply(b, multiply(b, a))))),
% 60.19/60.33 inference(monotonicity,[status(thm)],[89])).
% 60.19/60.33 tff(91,plain,
% 60.19/60.33 (multiply(a, multiply(b, multiply(b, multiply(b, a)))) = multiply(a, multiply(multiply(b, multiply(b, b)), a))),
% 60.19/60.33 inference(symmetry,[status(thm)],[90])).
% 60.19/60.33 tff(92,plain,
% 60.19/60.33 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, b), multiply(b, multiply(b, a))) = multiply(a, multiply(b, multiply(b, multiply(b, a)))))),
% 60.19/60.33 inference(quant_inst,[status(thm)],[])).
% 60.19/60.33 tff(93,plain,
% 60.19/60.33 (multiply(multiply(a, b), multiply(b, multiply(b, a))) = multiply(a, multiply(b, multiply(b, multiply(b, a))))),
% 60.19/60.33 inference(unit_resolution,[status(thm)],[92, 15])).
% 60.19/60.33 tff(94,plain,
% 60.19/60.33 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, b), a) = multiply(b, multiply(b, a)))),
% 60.19/60.33 inference(quant_inst,[status(thm)],[])).
% 60.19/60.33 tff(95,plain,
% 60.19/60.33 (multiply(multiply(b, b), a) = multiply(b, multiply(b, a))),
% 60.19/60.33 inference(unit_resolution,[status(thm)],[94, 15])).
% 60.19/60.33 tff(96,plain,
% 60.19/60.33 (multiply(multiply(a, b), multiply(multiply(b, b), a)) = multiply(multiply(a, b), multiply(b, multiply(b, a)))),
% 60.19/60.33 inference(monotonicity,[status(thm)],[95])).
% 60.19/60.33 tff(97,plain,
% 60.19/60.33 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(a, b), multiply(b, b)), a) = multiply(multiply(a, b), multiply(multiply(b, b), a)))),
% 60.19/60.34 inference(quant_inst,[status(thm)],[])).
% 60.19/60.34 tff(98,plain,
% 60.19/60.34 (multiply(multiply(multiply(a, b), multiply(b, b)), a) = multiply(multiply(a, b), multiply(multiply(b, b), a))),
% 60.19/60.34 inference(unit_resolution,[status(thm)],[97, 15])).
% 60.19/60.34 tff(99,plain,
% 60.19/60.34 (multiply(multiply(multiply(a, b), multiply(b, b)), a) = multiply(a, multiply(multiply(b, multiply(b, b)), a))),
% 60.19/60.34 inference(transitivity,[status(thm)],[98, 96, 93, 91])).
% 60.19/60.34 tff(100,plain,
% 60.19/60.34 (multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a)) = multiply(a, multiply(a, multiply(multiply(b, multiply(b, b)), a)))),
% 60.19/60.34 inference(monotonicity,[status(thm)],[99])).
% 60.19/60.34 tff(101,plain,
% 60.19/60.34 (multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a))) = multiply(a, multiply(a, multiply(a, multiply(multiply(b, multiply(b, b)), a))))),
% 60.19/60.34 inference(monotonicity,[status(thm)],[100])).
% 60.19/60.34 tff(102,plain,
% 60.19/60.34 (multiply(a, multiply(a, multiply(a, multiply(multiply(b, multiply(b, b)), a)))) = multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a)))),
% 60.19/60.34 inference(symmetry,[status(thm)],[101])).
% 60.19/60.34 tff(103,plain,
% 60.19/60.34 (multiply(a, multiply(a, multiply(b, multiply(b, multiply(b, a))))) = multiply(a, multiply(a, multiply(multiply(b, multiply(b, b)), a)))),
% 60.19/60.34 inference(monotonicity,[status(thm)],[91])).
% 60.19/60.34 tff(104,plain,
% 60.19/60.34 (multiply(a, multiply(a, multiply(a, multiply(b, multiply(b, multiply(b, a)))))) = multiply(a, multiply(a, multiply(a, multiply(multiply(b, multiply(b, b)), a))))),
% 60.19/60.34 inference(monotonicity,[status(thm)],[103])).
% 60.19/60.34 tff(105,plain,
% 60.19/60.34 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, a), multiply(a, multiply(b, multiply(b, multiply(b, a))))) = multiply(a, multiply(a, multiply(a, multiply(b, multiply(b, multiply(b, a)))))))),
% 60.19/60.34 inference(quant_inst,[status(thm)],[])).
% 60.19/60.34 tff(106,plain,
% 60.19/60.34 (multiply(multiply(a, a), multiply(a, multiply(b, multiply(b, multiply(b, a))))) = multiply(a, multiply(a, multiply(a, multiply(b, multiply(b, multiply(b, a))))))),
% 60.19/60.34 inference(unit_resolution,[status(thm)],[105, 15])).
% 60.19/60.34 tff(107,plain,
% 60.19/60.34 (multiply(multiply(a, a), multiply(a, multiply(b, multiply(b, multiply(b, a))))) = multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a)))),
% 60.19/60.34 inference(transitivity,[status(thm)],[106, 104, 102])).
% 60.19/60.34 tff(108,plain,
% 60.19/60.34 (multiply(a, multiply(multiply(a, a), multiply(a, multiply(b, multiply(b, multiply(b, a)))))) = multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a))))),
% 60.19/60.34 inference(monotonicity,[status(thm)],[107])).
% 60.19/60.34 tff(109,plain,
% 60.19/60.34 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, multiply(a, a)), multiply(a, multiply(b, multiply(b, multiply(b, a))))) = multiply(a, multiply(multiply(a, a), multiply(a, multiply(b, multiply(b, multiply(b, a)))))))),
% 60.19/60.34 inference(quant_inst,[status(thm)],[])).
% 60.19/60.34 tff(110,plain,
% 60.19/60.34 (multiply(multiply(a, multiply(a, a)), multiply(a, multiply(b, multiply(b, multiply(b, a))))) = multiply(a, multiply(multiply(a, a), multiply(a, multiply(b, multiply(b, multiply(b, a))))))),
% 60.19/60.34 inference(unit_resolution,[status(thm)],[109, 15])).
% 60.19/60.34 tff(111,plain,
% 60.19/60.34 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(a, b), b), multiply(b, a)) = multiply(multiply(a, b), multiply(b, multiply(b, a))))),
% 60.19/60.34 inference(quant_inst,[status(thm)],[])).
% 60.19/60.34 tff(112,plain,
% 60.19/60.34 (multiply(multiply(multiply(a, b), b), multiply(b, a)) = multiply(multiply(a, b), multiply(b, multiply(b, a)))),
% 60.19/60.34 inference(unit_resolution,[status(thm)],[111, 15])).
% 60.19/60.34 tff(113,plain,
% 60.19/60.34 (multiply(multiply(multiply(a, b), b), multiply(b, a)) = multiply(a, multiply(b, multiply(b, multiply(b, a))))),
% 60.19/60.34 inference(transitivity,[status(thm)],[112, 93])).
% 60.19/60.34 tff(114,plain,
% 60.19/60.34 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, a), a) = multiply(a, multiply(a, a)))),
% 60.19/60.34 inference(quant_inst,[status(thm)],[])).
% 60.19/60.34 tff(115,plain,
% 60.19/60.34 (multiply(multiply(a, a), a) = multiply(a, multiply(a, a))),
% 60.19/60.34 inference(unit_resolution,[status(thm)],[114, 15])).
% 60.19/60.34 tff(116,plain,
% 60.19/60.34 (multiply(multiply(multiply(a, a), a), multiply(multiply(multiply(a, b), b), multiply(b, a))) = multiply(multiply(a, multiply(a, a)), multiply(a, multiply(b, multiply(b, multiply(b, a)))))),
% 60.19/60.34 inference(monotonicity,[status(thm)],[115, 113])).
% 60.19/60.34 tff(117,plain,
% 60.19/60.34 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(a, a), a), multiply(multiply(a, b), b)), multiply(b, a)) = multiply(multiply(multiply(a, a), a), multiply(multiply(multiply(a, b), b), multiply(b, a))))),
% 60.19/60.34 inference(quant_inst,[status(thm)],[])).
% 60.19/60.34 tff(118,plain,
% 60.19/60.34 (multiply(multiply(multiply(multiply(a, a), a), multiply(multiply(a, b), b)), multiply(b, a)) = multiply(multiply(multiply(a, a), a), multiply(multiply(multiply(a, b), b), multiply(b, a)))),
% 60.19/60.34 inference(unit_resolution,[status(thm)],[117, 15])).
% 60.19/60.34 tff(119,plain,
% 60.19/60.34 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(a, a), a), multiply(multiply(a, b), b)) = multiply(multiply(a, a), multiply(a, multiply(multiply(a, b), b))))),
% 60.19/60.34 inference(quant_inst,[status(thm)],[])).
% 60.19/60.34 tff(120,plain,
% 60.19/60.34 (multiply(multiply(multiply(a, a), a), multiply(multiply(a, b), b)) = multiply(multiply(a, a), multiply(a, multiply(multiply(a, b), b)))),
% 60.19/60.34 inference(unit_resolution,[status(thm)],[119, 15])).
% 60.19/60.34 tff(121,plain,
% 60.19/60.34 (multiply(multiply(a, a), multiply(a, multiply(multiply(a, b), b))) = multiply(multiply(multiply(a, a), a), multiply(multiply(a, b), b))),
% 60.19/60.34 inference(symmetry,[status(thm)],[120])).
% 60.19/60.34 tff(122,plain,
% 60.19/60.34 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, a), multiply(b, b)) = multiply(a, multiply(a, multiply(b, b))))),
% 60.19/60.34 inference(quant_inst,[status(thm)],[])).
% 60.19/60.34 tff(123,plain,
% 60.19/60.34 (multiply(multiply(a, a), multiply(b, b)) = multiply(a, multiply(a, multiply(b, b)))),
% 60.19/60.34 inference(unit_resolution,[status(thm)],[122, 15])).
% 60.19/60.34 tff(124,plain,
% 60.19/60.34 (multiply(a, multiply(a, multiply(b, b))) = multiply(multiply(a, a), multiply(b, b))),
% 60.19/60.34 inference(symmetry,[status(thm)],[123])).
% 60.19/60.34 tff(125,plain,
% 60.19/60.34 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, b), b) = multiply(a, multiply(b, b)))),
% 60.19/60.34 inference(quant_inst,[status(thm)],[])).
% 60.19/60.34 tff(126,plain,
% 60.19/60.34 (multiply(multiply(a, b), b) = multiply(a, multiply(b, b))),
% 60.19/60.34 inference(unit_resolution,[status(thm)],[125, 15])).
% 60.19/60.34 tff(127,plain,
% 60.19/60.34 (multiply(a, multiply(multiply(a, b), b)) = multiply(a, multiply(a, multiply(b, b)))),
% 60.19/60.34 inference(monotonicity,[status(thm)],[126])).
% 60.19/60.34 tff(128,plain,
% 60.19/60.34 (multiply(a, multiply(multiply(a, b), b)) = multiply(multiply(a, a), multiply(b, b))),
% 60.19/60.34 inference(transitivity,[status(thm)],[127, 124])).
% 60.19/60.34 tff(129,plain,
% 60.19/60.34 (multiply(multiply(a, a), multiply(a, multiply(multiply(a, b), b))) = multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b)))),
% 60.19/60.34 inference(monotonicity,[status(thm)],[128])).
% 60.19/60.34 tff(130,plain,
% 60.19/60.34 (multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b))) = multiply(multiply(a, a), multiply(a, multiply(multiply(a, b), b)))),
% 60.19/60.34 inference(symmetry,[status(thm)],[129])).
% 60.19/60.34 tff(131,plain,
% 60.19/60.34 (multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b))) = multiply(multiply(multiply(a, a), a), multiply(multiply(a, b), b))),
% 60.19/60.34 inference(transitivity,[status(thm)],[130, 121])).
% 60.19/60.34 tff(132,plain,
% 60.19/60.34 (multiply(multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b))), multiply(b, a)) = multiply(multiply(multiply(multiply(a, a), a), multiply(multiply(a, b), b)), multiply(b, a))),
% 60.19/60.34 inference(monotonicity,[status(thm)],[131])).
% 60.19/60.34 tff(133,plain,
% 60.19/60.34 (multiply(multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b))), multiply(b, a)) = multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a))))),
% 60.19/60.34 inference(transitivity,[status(thm)],[132, 118, 116, 110, 108])).
% 60.19/60.34 tff(134,plain,
% 60.19/60.34 (multiply(multiply(b, multiply(b, b)), multiply(multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b))), multiply(b, a))) = multiply(multiply(b, multiply(b, b)), multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), a)))))),
% 60.19/60.34 inference(monotonicity,[status(thm)],[133])).
% 60.19/60.34 tff(135,plain,
% 60.19/60.34 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, multiply(b, b)), multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b)))), multiply(b, a)) = multiply(multiply(b, multiply(b, b)), multiply(multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b))), multiply(b, a))))),
% 60.19/60.34 inference(quant_inst,[status(thm)],[])).
% 60.19/60.34 tff(136,plain,
% 60.19/60.34 (multiply(multiply(multiply(b, multiply(b, b)), multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b)))), multiply(b, a)) = multiply(multiply(b, multiply(b, b)), multiply(multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b))), multiply(b, a)))),
% 60.19/60.34 inference(unit_resolution,[status(thm)],[135, 15])).
% 60.19/60.34 tff(137,plain,
% 60.19/60.34 (multiply(multiply(b, multiply(b, b)), multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b)))) = multiply(multiply(multiply(b, b), b), multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b))))),
% 60.19/60.34 inference(monotonicity,[status(thm)],[87])).
% 60.19/60.34 tff(138,plain,
% 60.19/60.34 (multiply(multiply(multiply(b, b), b), multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b)))) = multiply(multiply(b, multiply(b, b)), multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b))))),
% 60.19/60.34 inference(symmetry,[status(thm)],[137])).
% 60.19/60.34 tff(139,plain,
% 60.19/60.34 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, b), b), multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b)))) = multiply(multiply(b, b), multiply(b, multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b))))))),
% 60.19/60.34 inference(quant_inst,[status(thm)],[])).
% 60.19/60.34 tff(140,plain,
% 60.19/60.34 (multiply(multiply(multiply(b, b), b), multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b)))) = multiply(multiply(b, b), multiply(b, multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b)))))),
% 60.19/60.34 inference(unit_resolution,[status(thm)],[139, 15])).
% 60.19/60.34 tff(141,plain,
% 60.19/60.34 (multiply(multiply(b, b), multiply(b, multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b))))) = multiply(multiply(multiply(b, b), b), multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b))))),
% 60.19/60.34 inference(symmetry,[status(thm)],[140])).
% 60.19/60.34 tff(142,plain,
% 60.19/60.34 (multiply(multiply(b, b), multiply(b, multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b))))) = multiply(multiply(b, multiply(b, b)), multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b))))),
% 60.19/60.34 inference(transitivity,[status(thm)],[141, 138])).
% 60.19/60.34 tff(143,plain,
% 60.19/60.34 (multiply(multiply(multiply(b, b), multiply(b, multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b))))), multiply(b, a)) = multiply(multiply(multiply(b, multiply(b, b)), multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b)))), multiply(b, a))),
% 60.19/60.34 inference(monotonicity,[status(thm)],[142])).
% 60.19/60.34 tff(144,plain,
% 60.19/60.34 (multiply(b, multiply(b, a)) = multiply(multiply(b, b), a)),
% 60.19/60.34 inference(symmetry,[status(thm)],[95])).
% 60.19/60.34 tff(145,plain,
% 60.19/60.34 (multiply(multiply(b, multiply(b, a)), a) = multiply(multiply(multiply(b, b), a), a)),
% 60.19/60.34 inference(monotonicity,[status(thm)],[144])).
% 60.19/60.34 tff(146,plain,
% 60.19/60.34 (multiply(multiply(multiply(b, b), a), a) = multiply(multiply(b, multiply(b, a)), a)),
% 60.19/60.34 inference(symmetry,[status(thm)],[145])).
% 60.19/60.34 tff(147,plain,
% 60.19/60.34 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, b), a), a) = multiply(multiply(b, b), multiply(a, a)))),
% 60.19/60.34 inference(quant_inst,[status(thm)],[])).
% 60.19/60.34 tff(148,plain,
% 60.19/60.34 (multiply(multiply(multiply(b, b), a), a) = multiply(multiply(b, b), multiply(a, a))),
% 60.19/60.34 inference(unit_resolution,[status(thm)],[147, 15])).
% 60.19/60.34 tff(149,plain,
% 60.19/60.34 (multiply(multiply(b, b), multiply(a, a)) = multiply(multiply(multiply(b, b), a), a)),
% 60.19/60.34 inference(symmetry,[status(thm)],[148])).
% 60.19/60.34 tff(150,plain,
% 60.19/60.34 (multiply(multiply(b, b), multiply(a, a)) = multiply(multiply(b, multiply(b, a)), a)),
% 60.19/60.34 inference(transitivity,[status(thm)],[149, 146])).
% 60.19/60.34 tff(151,plain,
% 60.19/60.34 (multiply(multiply(multiply(b, b), multiply(a, a)), multiply(a, multiply(b, a))) = multiply(multiply(multiply(b, multiply(b, a)), a), multiply(a, multiply(b, a)))),
% 60.19/60.34 inference(monotonicity,[status(thm)],[150])).
% 60.19/60.34 tff(152,plain,
% 60.19/60.34 (multiply(multiply(multiply(b, multiply(b, a)), a), multiply(a, multiply(b, a))) = multiply(multiply(multiply(b, b), multiply(a, a)), multiply(a, multiply(b, a)))),
% 60.19/60.34 inference(symmetry,[status(thm)],[151])).
% 60.19/60.34 tff(153,plain,
% 60.19/60.34 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, multiply(b, a)), a), multiply(a, multiply(b, a))) = multiply(multiply(b, multiply(b, a)), multiply(a, multiply(a, multiply(b, a)))))),
% 60.19/60.34 inference(quant_inst,[status(thm)],[])).
% 60.19/60.34 tff(154,plain,
% 60.19/60.34 (multiply(multiply(multiply(b, multiply(b, a)), a), multiply(a, multiply(b, a))) = multiply(multiply(b, multiply(b, a)), multiply(a, multiply(a, multiply(b, a))))),
% 60.19/60.34 inference(unit_resolution,[status(thm)],[153, 15])).
% 60.19/60.34 tff(155,plain,
% 60.19/60.34 (multiply(multiply(b, multiply(b, a)), multiply(a, multiply(a, multiply(b, a)))) = multiply(multiply(multiply(b, multiply(b, a)), a), multiply(a, multiply(b, a)))),
% 60.19/60.34 inference(symmetry,[status(thm)],[154])).
% 60.19/60.34 tff(156,plain,
% 60.19/60.34 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, multiply(b, a)), multiply(a, multiply(a, multiply(b, a)))) = multiply(b, multiply(multiply(b, a), multiply(a, multiply(a, multiply(b, a))))))),
% 60.19/60.34 inference(quant_inst,[status(thm)],[])).
% 60.19/60.34 tff(157,plain,
% 60.19/60.34 (multiply(multiply(b, multiply(b, a)), multiply(a, multiply(a, multiply(b, a)))) = multiply(b, multiply(multiply(b, a), multiply(a, multiply(a, multiply(b, a)))))),
% 60.19/60.34 inference(unit_resolution,[status(thm)],[156, 15])).
% 60.19/60.34 tff(158,plain,
% 60.19/60.34 (multiply(b, multiply(multiply(b, a), multiply(a, multiply(a, multiply(b, a))))) = multiply(multiply(b, multiply(b, a)), multiply(a, multiply(a, multiply(b, a))))),
% 60.19/60.34 inference(symmetry,[status(thm)],[157])).
% 60.19/60.34 tff(159,plain,
% 60.19/60.34 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b))) = multiply(a, multiply(a, multiply(multiply(a, a), multiply(b, b)))))),
% 60.19/60.34 inference(quant_inst,[status(thm)],[])).
% 60.19/60.34 tff(160,plain,
% 60.19/60.34 (multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b))) = multiply(a, multiply(a, multiply(multiply(a, a), multiply(b, b))))),
% 60.19/60.34 inference(unit_resolution,[status(thm)],[159, 15])).
% 60.19/60.34 tff(161,plain,
% 60.19/60.34 (multiply(a, multiply(a, multiply(multiply(a, a), multiply(b, b)))) = multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b)))),
% 60.19/60.34 inference(symmetry,[status(thm)],[160])).
% 60.19/60.34 tff(162,plain,
% 60.19/60.34 (multiply(a, multiply(a, multiply(a, multiply(b, b)))) = multiply(a, multiply(multiply(a, a), multiply(b, b)))),
% 60.19/60.34 inference(monotonicity,[status(thm)],[124])).
% 60.19/60.34 tff(163,plain,
% 60.19/60.34 (multiply(a, multiply(a, multiply(a, multiply(a, multiply(b, b))))) = multiply(a, multiply(a, multiply(multiply(a, a), multiply(b, b))))),
% 60.19/60.34 inference(monotonicity,[status(thm)],[162])).
% 60.19/60.34 tff(164,plain,
% 60.19/60.34 ((~![Y: $i, X: $i] : (multiply(X, multiply(Y, multiply(Y, multiply(Y, multiply(X, Y))))) = multiply(Y, multiply(Y, multiply(Y, multiply(Y, multiply(X, X))))))) | (multiply(b, multiply(a, multiply(a, multiply(a, multiply(b, a))))) = multiply(a, multiply(a, multiply(a, multiply(a, multiply(b, b))))))),
% 60.19/60.34 inference(quant_inst,[status(thm)],[])).
% 60.19/60.34 tff(165,plain,
% 60.19/60.34 (multiply(b, multiply(a, multiply(a, multiply(a, multiply(b, a))))) = multiply(a, multiply(a, multiply(a, multiply(a, multiply(b, b)))))),
% 60.19/60.34 inference(unit_resolution,[status(thm)],[164, 68])).
% 60.19/60.34 tff(166,plain,
% 60.19/60.34 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, a), multiply(a, multiply(a, multiply(b, a)))) = multiply(b, multiply(a, multiply(a, multiply(a, multiply(b, a))))))),
% 60.19/60.34 inference(quant_inst,[status(thm)],[])).
% 60.19/60.34 tff(167,plain,
% 60.19/60.34 (multiply(multiply(b, a), multiply(a, multiply(a, multiply(b, a)))) = multiply(b, multiply(a, multiply(a, multiply(a, multiply(b, a)))))),
% 60.19/60.34 inference(unit_resolution,[status(thm)],[166, 15])).
% 60.19/60.34 tff(168,plain,
% 60.19/60.34 (multiply(multiply(b, a), multiply(a, multiply(a, multiply(b, a)))) = multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b)))),
% 60.19/60.34 inference(transitivity,[status(thm)],[167, 165, 163, 161])).
% 60.19/60.34 tff(169,plain,
% 60.19/60.34 (multiply(b, multiply(multiply(b, a), multiply(a, multiply(a, multiply(b, a))))) = multiply(b, multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b))))),
% 60.19/60.34 inference(monotonicity,[status(thm)],[168])).
% 60.19/60.34 tff(170,plain,
% 60.19/60.34 (multiply(b, multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b)))) = multiply(b, multiply(multiply(b, a), multiply(a, multiply(a, multiply(b, a)))))),
% 60.19/60.34 inference(symmetry,[status(thm)],[169])).
% 60.19/60.34 tff(171,plain,
% 60.19/60.34 (multiply(b, multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b)))) = multiply(multiply(multiply(b, b), multiply(a, a)), multiply(a, multiply(b, a)))),
% 60.19/60.34 inference(transitivity,[status(thm)],[170, 158, 155, 152])).
% 60.19/60.34 tff(172,plain,
% 60.19/60.34 (multiply(multiply(b, b), multiply(b, multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b))))) = multiply(multiply(b, b), multiply(multiply(multiply(b, b), multiply(a, a)), multiply(a, multiply(b, a))))),
% 60.19/60.34 inference(monotonicity,[status(thm)],[171])).
% 60.19/60.34 tff(173,plain,
% 60.19/60.34 (multiply(multiply(b, b), multiply(multiply(multiply(b, b), multiply(a, a)), multiply(a, multiply(b, a)))) = multiply(multiply(b, b), multiply(b, multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b)))))),
% 60.19/60.34 inference(symmetry,[status(thm)],[172])).
% 60.19/60.34 tff(174,plain,
% 60.19/60.34 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, b), multiply(multiply(b, b), multiply(a, a))), multiply(a, multiply(b, a))) = multiply(multiply(b, b), multiply(multiply(multiply(b, b), multiply(a, a)), multiply(a, multiply(b, a)))))),
% 60.19/60.34 inference(quant_inst,[status(thm)],[])).
% 60.19/60.34 tff(175,plain,
% 60.19/60.34 (multiply(multiply(multiply(b, b), multiply(multiply(b, b), multiply(a, a))), multiply(a, multiply(b, a))) = multiply(multiply(b, b), multiply(multiply(multiply(b, b), multiply(a, a)), multiply(a, multiply(b, a))))),
% 60.19/60.34 inference(unit_resolution,[status(thm)],[174, 15])).
% 60.19/60.34 tff(176,plain,
% 60.19/60.34 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(a, b), b), multiply(multiply(b, a), b)) = multiply(multiply(a, b), multiply(b, multiply(multiply(b, a), b))))),
% 60.19/60.34 inference(quant_inst,[status(thm)],[])).
% 60.19/60.34 tff(177,plain,
% 60.19/60.34 (multiply(multiply(multiply(a, b), b), multiply(multiply(b, a), b)) = multiply(multiply(a, b), multiply(b, multiply(multiply(b, a), b)))),
% 60.19/60.34 inference(unit_resolution,[status(thm)],[176, 15])).
% 60.19/60.34 tff(178,plain,
% 60.19/60.34 (multiply(multiply(a, b), multiply(b, multiply(multiply(b, a), b))) = multiply(multiply(multiply(a, b), b), multiply(multiply(b, a), b))),
% 60.19/60.34 inference(symmetry,[status(thm)],[177])).
% 60.19/60.34 tff(179,plain,
% 60.19/60.34 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, a), b) = multiply(b, multiply(a, b)))),
% 60.19/60.34 inference(quant_inst,[status(thm)],[])).
% 60.19/60.34 tff(180,plain,
% 60.19/60.34 (multiply(multiply(b, a), b) = multiply(b, multiply(a, b))),
% 60.19/60.34 inference(unit_resolution,[status(thm)],[179, 15])).
% 60.19/60.34 tff(181,plain,
% 60.19/60.34 (multiply(b, multiply(multiply(b, a), b)) = multiply(b, multiply(b, multiply(a, b)))),
% 60.19/60.34 inference(monotonicity,[status(thm)],[180])).
% 60.19/60.34 tff(182,plain,
% 60.19/60.34 (multiply(multiply(a, b), multiply(b, multiply(multiply(b, a), b))) = multiply(multiply(a, b), multiply(b, multiply(b, multiply(a, b))))),
% 60.19/60.35 inference(monotonicity,[status(thm)],[181])).
% 60.19/60.35 tff(183,plain,
% 60.19/60.35 (multiply(multiply(a, b), multiply(b, multiply(b, multiply(a, b)))) = multiply(multiply(a, b), multiply(b, multiply(multiply(b, a), b)))),
% 60.19/60.35 inference(symmetry,[status(thm)],[182])).
% 60.19/60.35 tff(184,plain,
% 60.19/60.35 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, b), multiply(b, multiply(b, multiply(a, b)))) = multiply(a, multiply(b, multiply(b, multiply(b, multiply(a, b))))))),
% 60.19/60.35 inference(quant_inst,[status(thm)],[])).
% 60.19/60.35 tff(185,plain,
% 60.19/60.35 (multiply(multiply(a, b), multiply(b, multiply(b, multiply(a, b)))) = multiply(a, multiply(b, multiply(b, multiply(b, multiply(a, b)))))),
% 60.19/60.35 inference(unit_resolution,[status(thm)],[184, 15])).
% 60.19/60.35 tff(186,plain,
% 60.19/60.35 (multiply(a, multiply(b, multiply(b, multiply(b, multiply(a, b))))) = multiply(multiply(a, b), multiply(b, multiply(b, multiply(a, b))))),
% 60.19/60.35 inference(symmetry,[status(thm)],[185])).
% 60.19/60.35 tff(187,plain,
% 60.19/60.35 ((~![Y: $i, X: $i] : (multiply(X, multiply(Y, multiply(Y, multiply(Y, multiply(X, Y))))) = multiply(Y, multiply(Y, multiply(Y, multiply(Y, multiply(X, X))))))) | (multiply(a, multiply(b, multiply(b, multiply(b, multiply(a, b))))) = multiply(b, multiply(b, multiply(b, multiply(b, multiply(a, a))))))),
% 60.19/60.35 inference(quant_inst,[status(thm)],[])).
% 60.19/60.35 tff(188,plain,
% 60.19/60.35 (multiply(a, multiply(b, multiply(b, multiply(b, multiply(a, b))))) = multiply(b, multiply(b, multiply(b, multiply(b, multiply(a, a)))))),
% 60.19/60.35 inference(unit_resolution,[status(thm)],[187, 68])).
% 60.19/60.35 tff(189,plain,
% 60.19/60.35 (multiply(b, multiply(b, multiply(b, multiply(b, multiply(a, a))))) = multiply(a, multiply(b, multiply(b, multiply(b, multiply(a, b)))))),
% 60.19/60.35 inference(symmetry,[status(thm)],[188])).
% 60.19/60.35 tff(190,plain,
% 60.19/60.35 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, b), multiply(a, a)) = multiply(b, multiply(b, multiply(a, a))))),
% 60.19/60.35 inference(quant_inst,[status(thm)],[])).
% 60.19/60.35 tff(191,plain,
% 60.19/60.35 (multiply(multiply(b, b), multiply(a, a)) = multiply(b, multiply(b, multiply(a, a)))),
% 60.19/60.35 inference(unit_resolution,[status(thm)],[190, 15])).
% 60.19/60.35 tff(192,plain,
% 60.19/60.35 (multiply(b, multiply(multiply(b, b), multiply(a, a))) = multiply(b, multiply(b, multiply(b, multiply(a, a))))),
% 60.19/60.35 inference(monotonicity,[status(thm)],[191])).
% 60.19/60.35 tff(193,plain,
% 60.19/60.35 (multiply(b, multiply(b, multiply(b, multiply(a, a)))) = multiply(b, multiply(multiply(b, b), multiply(a, a)))),
% 60.19/60.35 inference(symmetry,[status(thm)],[192])).
% 60.19/60.35 tff(194,plain,
% 60.19/60.35 (multiply(b, multiply(b, multiply(b, multiply(b, multiply(a, a))))) = multiply(b, multiply(b, multiply(multiply(b, b), multiply(a, a))))),
% 60.19/60.35 inference(monotonicity,[status(thm)],[193])).
% 60.19/60.35 tff(195,plain,
% 60.19/60.35 (multiply(b, multiply(b, multiply(multiply(b, b), multiply(a, a)))) = multiply(b, multiply(b, multiply(b, multiply(b, multiply(a, a)))))),
% 60.19/60.35 inference(symmetry,[status(thm)],[194])).
% 60.19/60.35 tff(196,plain,
% 60.19/60.35 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, b), multiply(multiply(b, b), multiply(a, a))) = multiply(b, multiply(b, multiply(multiply(b, b), multiply(a, a)))))),
% 60.19/60.35 inference(quant_inst,[status(thm)],[])).
% 60.19/60.35 tff(197,plain,
% 60.19/60.35 (multiply(multiply(b, b), multiply(multiply(b, b), multiply(a, a))) = multiply(b, multiply(b, multiply(multiply(b, b), multiply(a, a))))),
% 60.19/60.35 inference(unit_resolution,[status(thm)],[196, 15])).
% 60.19/60.35 tff(198,plain,
% 60.19/60.35 (multiply(multiply(b, b), multiply(multiply(b, b), multiply(a, a))) = multiply(multiply(multiply(a, b), b), multiply(multiply(b, a), b))),
% 60.19/60.35 inference(transitivity,[status(thm)],[197, 195, 189, 186, 183, 178])).
% 60.19/60.35 tff(199,plain,
% 60.19/60.35 (multiply(multiply(multiply(b, b), multiply(multiply(b, b), multiply(a, a))), multiply(a, multiply(b, a))) = multiply(multiply(multiply(multiply(a, b), b), multiply(multiply(b, a), b)), multiply(a, multiply(b, a)))),
% 60.19/60.35 inference(monotonicity,[status(thm)],[198])).
% 60.19/60.35 tff(200,plain,
% 60.19/60.35 (multiply(multiply(multiply(multiply(a, b), b), multiply(multiply(b, a), b)), multiply(a, multiply(b, a))) = multiply(multiply(multiply(b, b), multiply(multiply(b, b), multiply(a, a))), multiply(a, multiply(b, a)))),
% 60.19/60.35 inference(symmetry,[status(thm)],[199])).
% 60.19/60.35 tff(201,plain,
% 60.19/60.35 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(a, b), b), multiply(multiply(b, a), b)), multiply(a, multiply(b, a))) = multiply(multiply(multiply(a, b), b), multiply(multiply(multiply(b, a), b), multiply(a, multiply(b, a)))))),
% 60.19/60.35 inference(quant_inst,[status(thm)],[])).
% 60.19/60.35 tff(202,plain,
% 60.19/60.35 (multiply(multiply(multiply(multiply(a, b), b), multiply(multiply(b, a), b)), multiply(a, multiply(b, a))) = multiply(multiply(multiply(a, b), b), multiply(multiply(multiply(b, a), b), multiply(a, multiply(b, a))))),
% 60.19/60.35 inference(unit_resolution,[status(thm)],[201, 15])).
% 60.19/60.35 tff(203,plain,
% 60.19/60.35 (multiply(multiply(multiply(a, b), b), multiply(multiply(multiply(b, a), b), multiply(a, multiply(b, a)))) = multiply(multiply(multiply(multiply(a, b), b), multiply(multiply(b, a), b)), multiply(a, multiply(b, a)))),
% 60.19/60.35 inference(symmetry,[status(thm)],[202])).
% 60.19/60.35 tff(204,plain,
% 60.19/60.35 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a))))),
% 60.19/60.35 inference(quant_inst,[status(thm)],[])).
% 60.19/60.35 tff(205,plain,
% 60.19/60.35 (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a)))),
% 60.19/60.35 inference(unit_resolution,[status(thm)],[204, 15])).
% 60.19/60.35 tff(206,plain,
% 60.19/60.35 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, a), b), a) = multiply(multiply(b, a), multiply(b, a)))),
% 60.19/60.35 inference(quant_inst,[status(thm)],[])).
% 60.19/60.35 tff(207,plain,
% 60.19/60.35 (multiply(multiply(multiply(b, a), b), a) = multiply(multiply(b, a), multiply(b, a))),
% 60.19/60.35 inference(unit_resolution,[status(thm)],[206, 15])).
% 60.19/60.35 tff(208,plain,
% 60.19/60.35 (multiply(multiply(multiply(multiply(b, a), b), a), multiply(b, a)) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))),
% 60.19/60.35 inference(monotonicity,[status(thm)],[207])).
% 60.19/60.35 tff(209,plain,
% 60.19/60.35 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(b, a), b), a), multiply(b, a)) = multiply(multiply(multiply(b, a), b), multiply(a, multiply(b, a))))),
% 60.19/60.35 inference(quant_inst,[status(thm)],[])).
% 60.19/60.35 tff(210,plain,
% 60.19/60.35 (multiply(multiply(multiply(multiply(b, a), b), a), multiply(b, a)) = multiply(multiply(multiply(b, a), b), multiply(a, multiply(b, a)))),
% 60.19/60.35 inference(unit_resolution,[status(thm)],[209, 15])).
% 60.19/60.35 tff(211,plain,
% 60.19/60.35 (multiply(multiply(multiply(b, a), b), multiply(a, multiply(b, a))) = multiply(multiply(multiply(multiply(b, a), b), a), multiply(b, a))),
% 60.19/60.35 inference(symmetry,[status(thm)],[210])).
% 60.19/60.35 tff(212,plain,
% 60.19/60.35 (multiply(multiply(multiply(b, a), b), multiply(a, multiply(b, a))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a)))),
% 60.19/60.35 inference(transitivity,[status(thm)],[211, 208, 205])).
% 60.19/60.35 tff(213,plain,
% 60.19/60.35 (multiply(multiply(multiply(a, b), b), multiply(multiply(multiply(b, a), b), multiply(a, multiply(b, a)))) = multiply(multiply(multiply(a, b), b), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a))))),
% 60.19/60.35 inference(monotonicity,[status(thm)],[212])).
% 60.19/60.35 tff(214,plain,
% 60.19/60.35 (multiply(multiply(multiply(a, b), b), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a)))) = multiply(multiply(multiply(a, b), b), multiply(multiply(multiply(b, a), b), multiply(a, multiply(b, a))))),
% 60.19/60.35 inference(symmetry,[status(thm)],[213])).
% 60.19/60.35 tff(215,plain,
% 60.19/60.35 (multiply(multiply(multiply(a, b), b), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a)))) = multiply(multiply(b, b), multiply(b, multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b)))))),
% 60.19/60.35 inference(transitivity,[status(thm)],[214, 203, 200, 175, 173])).
% 60.19/60.35 tff(216,plain,
% 60.19/60.35 (multiply(multiply(multiply(multiply(a, b), b), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a)))), multiply(b, a)) = multiply(multiply(multiply(b, b), multiply(b, multiply(multiply(a, a), multiply(multiply(a, a), multiply(b, b))))), multiply(b, a))),
% 60.19/60.35 inference(monotonicity,[status(thm)],[215])).
% 60.19/60.35 tff(217,plain,
% 60.19/60.35 (multiply(a, multiply(b, b)) = multiply(multiply(a, b), b)),
% 60.19/60.35 inference(symmetry,[status(thm)],[126])).
% 60.19/60.35 tff(218,plain,
% 60.19/60.35 (multiply(multiply(a, multiply(b, b)), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))) = multiply(multiply(multiply(a, b), b), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a))))),
% 60.19/60.35 inference(monotonicity,[status(thm)],[217, 205])).
% 60.19/60.35 tff(219,plain,
% 60.19/60.35 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, multiply(b, b)), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))) = multiply(a, multiply(multiply(b, b), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))))),
% 60.19/60.35 inference(quant_inst,[status(thm)],[])).
% 60.19/60.35 tff(220,plain,
% 60.19/60.35 (multiply(multiply(a, multiply(b, b)), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))) = multiply(a, multiply(multiply(b, b), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))))),
% 60.19/60.35 inference(unit_resolution,[status(thm)],[219, 15])).
% 60.19/60.35 tff(221,plain,
% 60.19/60.35 (multiply(a, multiply(multiply(b, b), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))) = multiply(multiply(a, multiply(b, b)), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))),
% 60.19/60.35 inference(symmetry,[status(thm)],[220])).
% 60.19/60.35 tff(222,plain,
% 60.19/60.35 (multiply(multiply(b, b), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))) = multiply(multiply(b, b), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a))))),
% 60.19/60.35 inference(monotonicity,[status(thm)],[205])).
% 60.19/60.35 tff(223,plain,
% 60.19/60.35 (multiply(multiply(b, b), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a)))) = multiply(multiply(b, b), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))),
% 60.19/60.35 inference(symmetry,[status(thm)],[222])).
% 60.19/60.35 tff(224,plain,
% 60.19/60.35 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, b), multiply(b, a)), multiply(multiply(b, a), multiply(b, a))) = multiply(multiply(b, b), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a)))))),
% 60.19/60.35 inference(quant_inst,[status(thm)],[])).
% 60.19/60.35 tff(225,plain,
% 60.19/60.35 (multiply(multiply(multiply(b, b), multiply(b, a)), multiply(multiply(b, a), multiply(b, a))) = multiply(multiply(b, b), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a))))),
% 60.19/60.35 inference(unit_resolution,[status(thm)],[224, 15])).
% 60.19/60.35 tff(226,plain,
% 60.19/60.35 (multiply(multiply(multiply(b, b), multiply(b, a)), multiply(multiply(b, a), multiply(b, a))) = multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(b, a)))),
% 60.19/60.35 inference(monotonicity,[status(thm)],[84])).
% 60.19/60.35 tff(227,plain,
% 60.19/60.35 (multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(b, a))) = multiply(multiply(multiply(b, b), multiply(b, a)), multiply(multiply(b, a), multiply(b, a)))),
% 60.19/60.35 inference(symmetry,[status(thm)],[226])).
% 60.19/60.35 tff(228,plain,
% 60.19/60.35 (multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(b, a))) = multiply(multiply(b, b), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))),
% 60.19/60.35 inference(transitivity,[status(thm)],[227, 225, 223])).
% 60.19/60.35 tff(229,plain,
% 60.19/60.35 (multiply(a, multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(b, a)))) = multiply(a, multiply(multiply(b, b), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))))),
% 60.19/60.35 inference(monotonicity,[status(thm)],[228])).
% 60.19/60.35 tff(230,plain,
% 60.19/60.35 (multiply(a, multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(b, a)))) = multiply(multiply(multiply(a, b), b), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a))))),
% 60.19/60.35 inference(transitivity,[status(thm)],[229, 221, 218])).
% 60.19/60.35 tff(231,plain,
% 60.19/60.35 (multiply(multiply(a, multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(b, a)))), multiply(b, a)) = multiply(multiply(multiply(multiply(a, b), b), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a)))), multiply(b, a))),
% 60.19/60.35 inference(monotonicity,[status(thm)],[230])).
% 60.19/60.35 tff(232,plain,
% 60.19/60.35 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(b, a)))), multiply(b, a)) = multiply(a, multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(b, a))), multiply(b, a))))),
% 60.19/60.35 inference(quant_inst,[status(thm)],[])).
% 60.19/60.35 tff(233,plain,
% 60.19/60.35 (multiply(multiply(a, multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(b, a)))), multiply(b, a)) = multiply(a, multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(b, a))), multiply(b, a)))),
% 60.19/60.35 inference(unit_resolution,[status(thm)],[232, 15])).
% 60.19/60.35 tff(234,plain,
% 60.19/60.35 (multiply(a, multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(b, a))), multiply(b, a))) = multiply(multiply(a, multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(b, a)))), multiply(b, a))),
% 60.19/60.35 inference(symmetry,[status(thm)],[233])).
% 60.19/60.35 tff(235,plain,
% 60.19/60.35 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(b, a))), multiply(b, a)) = multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))))),
% 60.19/60.35 inference(quant_inst,[status(thm)],[])).
% 60.19/60.35 tff(236,plain,
% 60.19/60.35 (multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(b, a))), multiply(b, a)) = multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))),
% 60.19/60.35 inference(unit_resolution,[status(thm)],[235, 15])).
% 60.19/60.35 tff(237,plain,
% 60.19/60.35 (multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))) = multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(b, a))), multiply(b, a))),
% 60.19/60.35 inference(symmetry,[status(thm)],[236])).
% 60.19/60.35 tff(238,plain,
% 60.19/60.35 (multiply(a, multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))) = multiply(a, multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(b, a))), multiply(b, a)))),
% 60.19/60.35 inference(monotonicity,[status(thm)],[237])).
% 60.19/60.35 tff(239,plain,
% 60.19/60.35 (multiply(a, multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))) = multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b))))))),
% 60.19/60.35 inference(transitivity,[status(thm)],[238, 234, 231, 216, 143, 136, 134, 82, 79, 61])).
% 60.19/60.35 tff(240,plain,
% 60.19/60.35 (inj_1(a, multiply(a, multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))))) = inj_1(a, multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b)))))))),
% 60.19/60.35 inference(monotonicity,[status(thm)],[239])).
% 60.19/60.35 tff(241,plain,
% 60.19/60.35 (inj_1(a, multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b))))))) = inj_1(a, multiply(a, multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))))),
% 60.19/60.35 inference(symmetry,[status(thm)],[240])).
% 60.19/60.35 tff(242,plain,
% 60.19/60.35 ((~![Xk!0: $i, Xk!1: $i] : (inj_1(Xk!1, multiply(Xk!1, Xk!0)) = Xk!0)) | (inj_1(a, multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b))))))) = multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b))))))),
% 60.19/60.35 inference(quant_inst,[status(thm)],[])).
% 60.19/60.35 tff(243,plain,
% 60.19/60.35 (inj_1(a, multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b))))))) = multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b)))))),
% 60.19/60.35 inference(unit_resolution,[status(thm)],[242, 57])).
% 60.19/60.35 tff(244,plain,
% 60.19/60.35 (multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b))))) = inj_1(a, multiply(a, multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b)))))))),
% 60.19/60.35 inference(symmetry,[status(thm)],[243])).
% 60.19/60.35 tff(245,plain,
% 60.19/60.35 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, a), multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b)))) = multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b))))))),
% 60.19/60.35 inference(quant_inst,[status(thm)],[])).
% 60.19/60.35 tff(246,plain,
% 60.19/60.35 (multiply(multiply(a, a), multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b)))) = multiply(a, multiply(a, multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b)))))),
% 60.19/60.35 inference(unit_resolution,[status(thm)],[245, 15])).
% 60.19/60.35 tff(247,plain,
% 60.19/60.35 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, b), multiply(multiply(a, a), multiply(b, b))) = multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b)))))),
% 60.19/60.35 inference(quant_inst,[status(thm)],[])).
% 60.19/60.35 tff(248,plain,
% 60.19/60.35 (multiply(multiply(b, b), multiply(multiply(a, a), multiply(b, b))) = multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b))))),
% 60.19/60.35 inference(unit_resolution,[status(thm)],[247, 15])).
% 60.19/60.35 tff(249,plain,
% 60.19/60.35 (multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b)))) = multiply(multiply(b, b), multiply(multiply(a, a), multiply(b, b)))),
% 60.19/60.35 inference(symmetry,[status(thm)],[248])).
% 60.19/60.35 tff(250,plain,
% 60.19/60.35 (multiply(multiply(b, b), multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b))))) = multiply(multiply(b, b), multiply(multiply(b, b), multiply(multiply(a, a), multiply(b, b))))),
% 60.19/60.35 inference(monotonicity,[status(thm)],[249])).
% 60.19/60.35 tff(251,plain,
% 60.19/60.35 (multiply(multiply(b, b), multiply(multiply(b, b), multiply(multiply(a, a), multiply(b, b)))) = multiply(multiply(b, b), multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b)))))),
% 60.19/60.35 inference(symmetry,[status(thm)],[250])).
% 60.19/60.35 tff(252,plain,
% 60.19/60.35 (multiply(multiply(multiply(b, b), multiply(a, a)), multiply(b, b)) = multiply(multiply(b, multiply(b, multiply(a, a))), multiply(b, b))),
% 60.19/60.35 inference(monotonicity,[status(thm)],[191])).
% 60.19/60.35 tff(253,plain,
% 60.19/60.35 (multiply(multiply(b, multiply(b, multiply(a, a))), multiply(b, b)) = multiply(multiply(multiply(b, b), multiply(a, a)), multiply(b, b))),
% 60.19/60.35 inference(symmetry,[status(thm)],[252])).
% 60.19/60.35 tff(254,plain,
% 60.19/60.35 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, multiply(b, multiply(a, a))), multiply(b, b)) = multiply(b, multiply(multiply(b, multiply(a, a)), multiply(b, b))))),
% 60.19/60.35 inference(quant_inst,[status(thm)],[])).
% 60.19/60.35 tff(255,plain,
% 60.19/60.35 (multiply(multiply(b, multiply(b, multiply(a, a))), multiply(b, b)) = multiply(b, multiply(multiply(b, multiply(a, a)), multiply(b, b)))),
% 60.19/60.35 inference(unit_resolution,[status(thm)],[254, 15])).
% 60.19/60.35 tff(256,plain,
% 60.19/60.35 (multiply(b, multiply(multiply(b, multiply(a, a)), multiply(b, b))) = multiply(multiply(b, multiply(b, multiply(a, a))), multiply(b, b))),
% 60.19/60.35 inference(symmetry,[status(thm)],[255])).
% 60.19/60.35 tff(257,plain,
% 60.19/60.35 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, multiply(a, a)), multiply(b, b)) = multiply(b, multiply(multiply(a, a), multiply(b, b))))),
% 60.19/60.36 inference(quant_inst,[status(thm)],[])).
% 60.19/60.36 tff(258,plain,
% 60.19/60.36 (multiply(multiply(b, multiply(a, a)), multiply(b, b)) = multiply(b, multiply(multiply(a, a), multiply(b, b)))),
% 60.19/60.36 inference(unit_resolution,[status(thm)],[257, 15])).
% 60.19/60.36 tff(259,plain,
% 60.19/60.36 (multiply(b, multiply(multiply(b, multiply(a, a)), multiply(b, b))) = multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b))))),
% 60.19/60.36 inference(monotonicity,[status(thm)],[258])).
% 60.19/60.36 tff(260,plain,
% 60.19/60.36 (multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b)))) = multiply(b, multiply(multiply(b, multiply(a, a)), multiply(b, b)))),
% 60.19/60.36 inference(symmetry,[status(thm)],[259])).
% 60.19/60.36 tff(261,plain,
% 60.19/60.36 (multiply(multiply(b, b), multiply(multiply(a, a), multiply(b, b))) = multiply(multiply(multiply(b, b), multiply(a, a)), multiply(b, b))),
% 60.19/60.36 inference(transitivity,[status(thm)],[248, 260, 256, 253])).
% 60.19/60.36 tff(262,plain,
% 60.19/60.36 (multiply(multiply(b, b), multiply(multiply(b, b), multiply(multiply(a, a), multiply(b, b)))) = multiply(multiply(b, b), multiply(multiply(multiply(b, b), multiply(a, a)), multiply(b, b)))),
% 60.19/60.36 inference(monotonicity,[status(thm)],[261])).
% 60.19/60.36 tff(263,plain,
% 60.19/60.36 (multiply(multiply(b, b), multiply(multiply(multiply(b, b), multiply(a, a)), multiply(b, b))) = multiply(multiply(b, b), multiply(multiply(b, b), multiply(multiply(a, a), multiply(b, b))))),
% 60.19/60.36 inference(symmetry,[status(thm)],[262])).
% 60.19/60.36 tff(264,plain,
% 60.19/60.36 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, b), multiply(multiply(b, b), multiply(a, a))), multiply(b, b)) = multiply(multiply(b, b), multiply(multiply(multiply(b, b), multiply(a, a)), multiply(b, b))))),
% 60.19/60.36 inference(quant_inst,[status(thm)],[])).
% 60.19/60.36 tff(265,plain,
% 60.19/60.36 (multiply(multiply(multiply(b, b), multiply(multiply(b, b), multiply(a, a))), multiply(b, b)) = multiply(multiply(b, b), multiply(multiply(multiply(b, b), multiply(a, a)), multiply(b, b)))),
% 60.19/60.36 inference(unit_resolution,[status(thm)],[264, 15])).
% 60.19/60.36 tff(266,plain,
% 60.19/60.36 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(a, b), multiply(b, b)), multiply(a, b)) = multiply(multiply(a, b), multiply(multiply(b, b), multiply(a, b))))),
% 60.19/60.36 inference(quant_inst,[status(thm)],[])).
% 60.19/60.36 tff(267,plain,
% 60.19/60.36 (multiply(multiply(multiply(a, b), multiply(b, b)), multiply(a, b)) = multiply(multiply(a, b), multiply(multiply(b, b), multiply(a, b)))),
% 60.19/60.36 inference(unit_resolution,[status(thm)],[266, 15])).
% 60.19/60.36 tff(268,plain,
% 60.19/60.36 (multiply(multiply(a, b), multiply(multiply(b, b), multiply(a, b))) = multiply(multiply(multiply(a, b), multiply(b, b)), multiply(a, b))),
% 60.19/60.36 inference(symmetry,[status(thm)],[267])).
% 60.19/60.36 tff(269,plain,
% 60.19/60.36 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, b), multiply(a, b)) = multiply(b, multiply(b, multiply(a, b))))),
% 60.19/60.36 inference(quant_inst,[status(thm)],[])).
% 60.19/60.36 tff(270,plain,
% 60.19/60.36 (multiply(multiply(b, b), multiply(a, b)) = multiply(b, multiply(b, multiply(a, b)))),
% 60.19/60.36 inference(unit_resolution,[status(thm)],[269, 15])).
% 60.19/60.36 tff(271,plain,
% 60.19/60.36 (multiply(multiply(a, b), multiply(multiply(b, b), multiply(a, b))) = multiply(multiply(a, b), multiply(b, multiply(b, multiply(a, b))))),
% 60.19/60.36 inference(monotonicity,[status(thm)],[270])).
% 60.19/60.36 tff(272,plain,
% 60.19/60.36 (multiply(multiply(a, b), multiply(b, multiply(b, multiply(a, b)))) = multiply(multiply(a, b), multiply(multiply(b, b), multiply(a, b)))),
% 60.19/60.36 inference(symmetry,[status(thm)],[271])).
% 60.19/60.36 tff(273,plain,
% 60.19/60.36 (multiply(multiply(b, b), multiply(multiply(b, b), multiply(a, a))) = multiply(multiply(multiply(a, b), multiply(b, b)), multiply(a, b))),
% 60.19/60.36 inference(transitivity,[status(thm)],[197, 195, 189, 186, 272, 268])).
% 60.19/60.36 tff(274,plain,
% 60.19/60.36 (multiply(multiply(multiply(b, b), multiply(multiply(b, b), multiply(a, a))), multiply(b, b)) = multiply(multiply(multiply(multiply(a, b), multiply(b, b)), multiply(a, b)), multiply(b, b))),
% 60.19/60.36 inference(monotonicity,[status(thm)],[273])).
% 60.19/60.36 tff(275,plain,
% 60.19/60.36 (multiply(multiply(multiply(multiply(a, b), multiply(b, b)), multiply(a, b)), multiply(b, b)) = multiply(multiply(multiply(b, b), multiply(multiply(b, b), multiply(a, a))), multiply(b, b))),
% 60.19/60.36 inference(symmetry,[status(thm)],[274])).
% 60.19/60.36 tff(276,plain,
% 60.19/60.36 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(a, b), multiply(b, b)), multiply(a, b)), multiply(b, b)) = multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b))))),
% 60.19/60.36 inference(quant_inst,[status(thm)],[])).
% 60.19/60.36 tff(277,plain,
% 60.19/60.36 (multiply(multiply(multiply(multiply(a, b), multiply(b, b)), multiply(a, b)), multiply(b, b)) = multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b)))),
% 60.19/60.36 inference(unit_resolution,[status(thm)],[276, 15])).
% 60.19/60.36 tff(278,plain,
% 60.19/60.36 (multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b))) = multiply(multiply(multiply(multiply(a, b), multiply(b, b)), multiply(a, b)), multiply(b, b))),
% 60.19/60.36 inference(symmetry,[status(thm)],[277])).
% 60.19/60.36 tff(279,plain,
% 60.19/60.36 (multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b))) = multiply(multiply(b, b), multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b)))))),
% 60.19/60.36 inference(transitivity,[status(thm)],[278, 275, 265, 263, 251])).
% 60.19/60.36 tff(280,plain,
% 60.19/60.36 (multiply(multiply(a, a), multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b)))) = multiply(multiply(a, a), multiply(multiply(b, b), multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b))))))),
% 60.19/60.36 inference(monotonicity,[status(thm)],[279])).
% 60.19/60.36 tff(281,plain,
% 60.19/60.36 (multiply(multiply(a, a), multiply(multiply(b, b), multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b)))))) = multiply(multiply(a, a), multiply(multiply(multiply(a, b), multiply(b, b)), multiply(multiply(a, b), multiply(b, b))))),
% 60.19/60.36 inference(symmetry,[status(thm)],[280])).
% 60.19/60.36 tff(282,plain,
% 60.19/60.36 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(a, a), multiply(b, b)), multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b))))) = multiply(multiply(a, a), multiply(multiply(b, b), multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b)))))))),
% 60.19/60.36 inference(quant_inst,[status(thm)],[])).
% 60.19/60.36 tff(283,plain,
% 60.19/60.36 (multiply(multiply(multiply(a, a), multiply(b, b)), multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b))))) = multiply(multiply(a, a), multiply(multiply(b, b), multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b))))))),
% 60.19/60.36 inference(unit_resolution,[status(thm)],[282, 15])).
% 60.19/60.36 tff(284,plain,
% 60.19/60.36 (multiply(multiply(multiply(a, a), multiply(b, b)), multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b))))) = multiply(multiply(multiply(multiply(a, a), b), b), multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b)))))),
% 60.19/60.36 inference(monotonicity,[status(thm)],[42])).
% 60.19/60.36 tff(285,plain,
% 60.19/60.36 (multiply(multiply(multiply(multiply(a, a), b), b), multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b))))) = multiply(multiply(multiply(a, a), multiply(b, b)), multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b)))))),
% 60.19/60.36 inference(symmetry,[status(thm)],[284])).
% 60.19/60.36 tff(286,plain,
% 60.19/60.36 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(a, a), b), b), multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b))))) = multiply(multiply(multiply(a, a), b), multiply(b, multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b)))))))),
% 60.19/60.36 inference(quant_inst,[status(thm)],[])).
% 60.19/60.36 tff(287,plain,
% 60.19/60.36 (multiply(multiply(multiply(multiply(a, a), b), b), multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b))))) = multiply(multiply(multiply(a, a), b), multiply(b, multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b))))))),
% 60.19/60.36 inference(unit_resolution,[status(thm)],[286, 15])).
% 60.19/60.36 tff(288,plain,
% 60.19/60.36 (multiply(multiply(multiply(a, a), b), multiply(b, multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b)))))) = multiply(multiply(multiply(multiply(a, a), b), b), multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b)))))),
% 60.19/60.36 inference(symmetry,[status(thm)],[287])).
% 60.19/60.36 tff(289,plain,
% 60.19/60.36 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, b), multiply(b, multiply(multiply(a, a), multiply(b, b)))) = multiply(b, multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b))))))),
% 60.19/60.36 inference(quant_inst,[status(thm)],[])).
% 60.19/60.36 tff(290,plain,
% 60.19/60.36 (multiply(multiply(b, b), multiply(b, multiply(multiply(a, a), multiply(b, b)))) = multiply(b, multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b)))))),
% 60.19/60.36 inference(unit_resolution,[status(thm)],[289, 15])).
% 60.19/60.36 tff(291,plain,
% 60.19/60.36 (multiply(multiply(multiply(a, a), b), multiply(multiply(b, b), multiply(b, multiply(multiply(a, a), multiply(b, b))))) = multiply(multiply(multiply(a, a), b), multiply(b, multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b))))))),
% 60.19/60.36 inference(monotonicity,[status(thm)],[290])).
% 60.19/60.36 tff(292,plain,
% 60.19/60.36 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), multiply(b, multiply(multiply(a, a), multiply(b, b)))) = multiply(multiply(multiply(a, a), b), multiply(multiply(b, b), multiply(b, multiply(multiply(a, a), multiply(b, b))))))),
% 60.19/60.36 inference(quant_inst,[status(thm)],[])).
% 60.19/60.36 tff(293,plain,
% 60.19/60.36 (multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), multiply(b, multiply(multiply(a, a), multiply(b, b)))) = multiply(multiply(multiply(a, a), b), multiply(multiply(b, b), multiply(b, multiply(multiply(a, a), multiply(b, b)))))),
% 60.19/60.36 inference(unit_resolution,[status(thm)],[292, 15])).
% 60.19/60.36 tff(294,plain,
% 60.19/60.36 (multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), multiply(b, multiply(multiply(a, a), multiply(b, b)))) = multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))),
% 60.19/60.36 inference(transitivity,[status(thm)],[293, 291, 288, 285, 283, 281, 246, 244, 241, 59])).
% 60.19/60.36 tff(295,plain,
% 60.19/60.36 (multiply(multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), multiply(b, multiply(multiply(a, a), multiply(b, b)))), b) = multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))), b)),
% 60.19/60.36 inference(monotonicity,[status(thm)],[294])).
% 60.19/60.36 tff(296,plain,
% 60.19/60.36 (multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))), b) = multiply(multiply(multiply(multiply(multiply(a, a), b), multiply(b, b)), multiply(b, multiply(multiply(a, a), multiply(b, b)))), b)),
% 60.19/60.36 inference(symmetry,[status(thm)],[295])).
% 60.19/60.36 tff(297,plain,
% 60.19/60.36 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b)) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), b))))),
% 60.19/60.36 inference(quant_inst,[status(thm)],[])).
% 60.19/60.36 tff(298,plain,
% 60.19/60.36 (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b)) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), b)))),
% 60.19/60.36 inference(unit_resolution,[status(thm)],[297, 15])).
% 60.19/60.36 tff(299,plain,
% 60.19/60.36 (multiply(multiply(b, b), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b))) = multiply(multiply(b, b), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), b))))),
% 60.19/60.36 inference(monotonicity,[status(thm)],[298])).
% 60.19/60.36 tff(300,plain,
% 60.19/60.36 (multiply(multiply(b, b), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), b)))) = multiply(multiply(b, b), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b)))),
% 60.19/60.36 inference(symmetry,[status(thm)],[299])).
% 60.19/60.36 tff(301,plain,
% 60.19/60.36 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, b), multiply(b, a)), multiply(multiply(b, a), multiply(multiply(b, a), b))) = multiply(multiply(b, b), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), b)))))),
% 60.19/60.36 inference(quant_inst,[status(thm)],[])).
% 60.19/60.36 tff(302,plain,
% 60.19/60.36 (multiply(multiply(multiply(b, b), multiply(b, a)), multiply(multiply(b, a), multiply(multiply(b, a), b))) = multiply(multiply(b, b), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), b))))),
% 60.19/60.36 inference(unit_resolution,[status(thm)],[301, 15])).
% 60.19/60.36 tff(303,plain,
% 60.19/60.36 (multiply(multiply(multiply(b, b), multiply(b, a)), multiply(multiply(b, a), multiply(multiply(b, a), b))) = multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), b)))),
% 60.19/60.36 inference(monotonicity,[status(thm)],[84])).
% 60.19/60.36 tff(304,plain,
% 60.19/60.36 (multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), b))) = multiply(multiply(multiply(b, b), multiply(b, a)), multiply(multiply(b, a), multiply(multiply(b, a), b)))),
% 60.19/60.36 inference(symmetry,[status(thm)],[303])).
% 60.19/60.36 tff(305,plain,
% 60.19/60.36 (multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), b))) = multiply(multiply(b, b), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b)))),
% 60.19/60.36 inference(transitivity,[status(thm)],[304, 302, 300])).
% 60.19/60.36 tff(306,plain,
% 60.19/60.36 (multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), b))), a) = multiply(multiply(multiply(b, b), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b))), a)),
% 60.19/60.36 inference(monotonicity,[status(thm)],[305])).
% 60.19/60.36 tff(307,plain,
% 60.19/60.36 (multiply(multiply(multiply(b, b), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b))), a) = multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), b))), a)),
% 60.19/60.36 inference(symmetry,[status(thm)],[306])).
% 60.19/60.36 tff(308,plain,
% 60.19/60.36 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, b), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b))), a) = multiply(multiply(b, b), multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b)), a)))),
% 60.19/60.36 inference(quant_inst,[status(thm)],[])).
% 60.19/60.36 tff(309,plain,
% 60.19/60.36 (multiply(multiply(multiply(b, b), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b))), a) = multiply(multiply(b, b), multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b)), a))),
% 60.19/60.36 inference(unit_resolution,[status(thm)],[308, 15])).
% 60.19/60.36 tff(310,plain,
% 60.19/60.36 (multiply(multiply(b, b), multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b)), a)) = multiply(multiply(multiply(b, b), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b))), a)),
% 60.19/60.36 inference(symmetry,[status(thm)],[309])).
% 60.19/60.36 tff(311,plain,
% 60.19/60.36 (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), a)) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), multiply(b, a)))),
% 60.19/60.36 inference(monotonicity,[status(thm)],[207])).
% 60.19/60.36 tff(312,plain,
% 60.19/60.36 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b)), a) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), a)))),
% 60.19/60.36 inference(quant_inst,[status(thm)],[])).
% 60.19/60.36 tff(313,plain,
% 60.19/60.36 (multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b)), a) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), a))),
% 60.19/60.36 inference(unit_resolution,[status(thm)],[312, 15])).
% 60.19/60.36 tff(314,plain,
% 60.19/60.36 (multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b)), a) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), multiply(b, a)))),
% 60.19/60.36 inference(transitivity,[status(thm)],[313, 311])).
% 60.19/60.36 tff(315,plain,
% 60.19/60.36 (multiply(multiply(b, b), multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b)), a)) = multiply(multiply(b, b), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), multiply(b, a))))),
% 60.19/60.36 inference(monotonicity,[status(thm)],[314])).
% 60.19/60.36 tff(316,plain,
% 60.19/60.36 (multiply(multiply(b, b), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), multiply(b, a)))) = multiply(multiply(b, b), multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b)), a))),
% 60.19/60.36 inference(symmetry,[status(thm)],[315])).
% 60.19/60.36 tff(317,plain,
% 60.19/60.36 (multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a))))),
% 60.19/60.36 inference(monotonicity,[status(thm)],[205])).
% 60.19/60.36 tff(318,plain,
% 60.19/60.36 (multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a)))) = multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))),
% 60.19/60.36 inference(symmetry,[status(thm)],[317])).
% 60.19/60.36 tff(319,plain,
% 60.19/60.36 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), multiply(b, a))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a)))))),
% 60.19/60.36 inference(quant_inst,[status(thm)],[])).
% 60.19/60.36 tff(320,plain,
% 60.19/60.36 (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), multiply(b, a))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a))))),
% 60.19/60.36 inference(unit_resolution,[status(thm)],[319, 15])).
% 60.19/60.36 tff(321,plain,
% 60.19/60.36 (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), multiply(b, a))) = multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))),
% 60.19/60.36 inference(transitivity,[status(thm)],[320, 318])).
% 60.19/60.36 tff(322,plain,
% 60.19/60.36 (multiply(multiply(b, b), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), multiply(b, a)))) = multiply(multiply(b, b), multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))))),
% 60.19/60.36 inference(monotonicity,[status(thm)],[321])).
% 60.19/60.36 tff(323,plain,
% 60.19/60.36 (multiply(multiply(b, b), multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))) = multiply(multiply(b, b), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), multiply(b, a))))),
% 60.19/60.36 inference(symmetry,[status(thm)],[322])).
% 60.19/60.36 tff(324,plain,
% 60.19/60.36 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, b), multiply(b, a)), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))) = multiply(multiply(b, b), multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))))),
% 60.19/60.36 inference(quant_inst,[status(thm)],[])).
% 60.19/60.36 tff(325,plain,
% 60.19/60.36 (multiply(multiply(multiply(b, b), multiply(b, a)), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))) = multiply(multiply(b, b), multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))))),
% 60.19/60.36 inference(unit_resolution,[status(thm)],[324, 15])).
% 60.19/60.36 tff(326,plain,
% 60.19/60.36 (multiply(multiply(multiply(b, b), multiply(b, a)), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))) = multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))),
% 60.19/60.36 inference(monotonicity,[status(thm)],[84])).
% 60.19/60.36 tff(327,plain,
% 60.19/60.36 (multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))) = multiply(multiply(multiply(b, b), multiply(b, a)), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))),
% 60.19/60.37 inference(symmetry,[status(thm)],[326])).
% 60.19/60.37 tff(328,plain,
% 60.19/60.37 (multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))) = multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), b))), a)),
% 60.19/60.37 inference(transitivity,[status(thm)],[327, 325, 323, 316, 310, 307])).
% 60.19/60.37 tff(329,plain,
% 60.19/60.37 (multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))), b) = multiply(multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), b))), a), b)),
% 60.19/60.37 inference(monotonicity,[status(thm)],[328])).
% 60.19/60.37 tff(330,plain,
% 60.19/60.37 (multiply(multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), b))), a), b) = multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))), b)),
% 60.19/60.37 inference(symmetry,[status(thm)],[329])).
% 60.19/60.37 tff(331,plain,
% 60.19/60.37 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), b))), a), b) = multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), b))), multiply(a, b)))),
% 60.19/60.37 inference(quant_inst,[status(thm)],[])).
% 60.19/60.37 tff(332,plain,
% 60.19/60.37 (multiply(multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), b))), a), b) = multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), b))), multiply(a, b))),
% 60.19/60.37 inference(unit_resolution,[status(thm)],[331, 15])).
% 60.19/60.37 tff(333,plain,
% 60.19/60.37 (multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), b))), multiply(a, b)) = multiply(multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), b))), a), b)),
% 60.19/60.37 inference(symmetry,[status(thm)],[332])).
% 60.19/60.37 tff(334,plain,
% 60.19/60.37 (multiply(multiply(multiply(b, multiply(b, b)), a), multiply(multiply(b, a), multiply(multiply(b, a), b))) = multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), b)))),
% 60.19/60.37 inference(monotonicity,[status(thm)],[89])).
% 60.19/60.37 tff(335,plain,
% 60.19/60.37 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, multiply(b, b)), a), multiply(multiply(b, a), multiply(multiply(b, a), b))) = multiply(multiply(b, multiply(b, b)), multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), b)))))),
% 60.19/60.37 inference(quant_inst,[status(thm)],[])).
% 60.19/60.37 tff(336,plain,
% 60.19/60.37 (multiply(multiply(multiply(b, multiply(b, b)), a), multiply(multiply(b, a), multiply(multiply(b, a), b))) = multiply(multiply(b, multiply(b, b)), multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), b))))),
% 60.19/60.37 inference(unit_resolution,[status(thm)],[335, 15])).
% 60.19/60.37 tff(337,plain,
% 60.19/60.37 (multiply(multiply(b, multiply(b, b)), multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), b)))) = multiply(multiply(multiply(b, multiply(b, b)), a), multiply(multiply(b, a), multiply(multiply(b, a), b)))),
% 60.19/60.37 inference(symmetry,[status(thm)],[336])).
% 60.19/60.37 tff(338,plain,
% 60.19/60.37 (multiply(multiply(b, multiply(b, b)), multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), b)))) = multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), b)))),
% 60.19/60.37 inference(transitivity,[status(thm)],[337, 334])).
% 60.19/60.37 tff(339,plain,
% 60.19/60.37 (multiply(multiply(multiply(b, multiply(b, b)), multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), b)))), multiply(a, b)) = multiply(multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), b))), multiply(a, b))),
% 60.19/60.37 inference(monotonicity,[status(thm)],[338])).
% 60.19/60.37 tff(340,plain,
% 60.19/60.37 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, multiply(b, b)), multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), b)))), multiply(a, b)) = multiply(multiply(b, multiply(b, b)), multiply(multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), b))), multiply(a, b))))),
% 60.19/60.37 inference(quant_inst,[status(thm)],[])).
% 60.19/60.37 tff(341,plain,
% 60.19/60.37 (multiply(multiply(multiply(b, multiply(b, b)), multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), b)))), multiply(a, b)) = multiply(multiply(b, multiply(b, b)), multiply(multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), b))), multiply(a, b)))),
% 60.19/60.37 inference(unit_resolution,[status(thm)],[340, 15])).
% 60.19/60.37 tff(342,plain,
% 60.19/60.37 (multiply(multiply(b, multiply(b, b)), multiply(multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), b))), multiply(a, b))) = multiply(multiply(multiply(b, multiply(b, b)), multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), b)))), multiply(a, b))),
% 60.19/60.37 inference(symmetry,[status(thm)],[341])).
% 60.19/60.37 tff(343,plain,
% 60.19/60.37 (multiply(a, multiply(multiply(b, a), b)) = multiply(a, multiply(b, multiply(a, b)))),
% 60.19/60.37 inference(monotonicity,[status(thm)],[180])).
% 60.19/60.37 tff(344,plain,
% 60.19/60.37 (multiply(a, multiply(b, multiply(a, b))) = multiply(a, multiply(multiply(b, a), b))),
% 60.19/60.37 inference(symmetry,[status(thm)],[343])).
% 60.19/60.37 tff(345,plain,
% 60.19/60.37 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, b), multiply(a, b)) = multiply(a, multiply(b, multiply(a, b))))),
% 60.19/60.37 inference(quant_inst,[status(thm)],[])).
% 60.19/60.37 tff(346,plain,
% 60.19/60.37 (multiply(multiply(a, b), multiply(a, b)) = multiply(a, multiply(b, multiply(a, b)))),
% 60.19/60.37 inference(unit_resolution,[status(thm)],[345, 15])).
% 60.19/60.37 tff(347,plain,
% 60.19/60.37 (multiply(multiply(a, b), multiply(a, b)) = multiply(a, multiply(multiply(b, a), b))),
% 60.19/60.37 inference(transitivity,[status(thm)],[346, 344])).
% 60.19/60.37 tff(348,plain,
% 60.19/60.37 (multiply(multiply(multiply(a, b), multiply(a, b)), multiply(a, b)) = multiply(multiply(a, multiply(multiply(b, a), b)), multiply(a, b))),
% 60.19/60.37 inference(monotonicity,[status(thm)],[347])).
% 60.19/60.37 tff(349,plain,
% 60.19/60.37 (multiply(multiply(a, multiply(multiply(b, a), b)), multiply(a, b)) = multiply(multiply(multiply(a, b), multiply(a, b)), multiply(a, b))),
% 60.19/60.37 inference(symmetry,[status(thm)],[348])).
% 60.19/60.37 tff(350,plain,
% 60.19/60.37 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, multiply(multiply(b, a), b)), multiply(a, b)) = multiply(a, multiply(multiply(multiply(b, a), b), multiply(a, b))))),
% 60.19/60.37 inference(quant_inst,[status(thm)],[])).
% 60.19/60.37 tff(351,plain,
% 60.19/60.37 (multiply(multiply(a, multiply(multiply(b, a), b)), multiply(a, b)) = multiply(a, multiply(multiply(multiply(b, a), b), multiply(a, b)))),
% 60.19/60.37 inference(unit_resolution,[status(thm)],[350, 15])).
% 60.19/60.37 tff(352,plain,
% 60.19/60.37 (multiply(a, multiply(multiply(multiply(b, a), b), multiply(a, b))) = multiply(multiply(a, multiply(multiply(b, a), b)), multiply(a, b))),
% 60.19/60.37 inference(symmetry,[status(thm)],[351])).
% 60.19/60.37 tff(353,plain,
% 60.19/60.37 (multiply(b, multiply(a, b)) = multiply(multiply(b, a), b)),
% 60.19/60.37 inference(symmetry,[status(thm)],[180])).
% 60.19/60.37 tff(354,plain,
% 60.19/60.37 (multiply(multiply(b, a), multiply(b, multiply(a, b))) = multiply(multiply(b, a), multiply(multiply(b, a), b))),
% 60.19/60.37 inference(monotonicity,[status(thm)],[353])).
% 60.19/60.37 tff(355,plain,
% 60.19/60.37 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, a), b), multiply(a, b)) = multiply(multiply(b, a), multiply(b, multiply(a, b))))),
% 60.19/60.37 inference(quant_inst,[status(thm)],[])).
% 60.19/60.37 tff(356,plain,
% 60.19/60.37 (multiply(multiply(multiply(b, a), b), multiply(a, b)) = multiply(multiply(b, a), multiply(b, multiply(a, b)))),
% 60.19/60.37 inference(unit_resolution,[status(thm)],[355, 15])).
% 60.19/60.37 tff(357,plain,
% 60.19/60.37 (multiply(multiply(multiply(b, a), b), multiply(a, b)) = multiply(multiply(b, a), multiply(multiply(b, a), b))),
% 60.19/60.37 inference(transitivity,[status(thm)],[356, 354])).
% 60.19/60.37 tff(358,plain,
% 60.19/60.37 (multiply(a, multiply(multiply(multiply(b, a), b), multiply(a, b))) = multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), b)))),
% 60.19/60.37 inference(monotonicity,[status(thm)],[357])).
% 60.19/60.37 tff(359,plain,
% 60.19/60.37 (multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), b))) = multiply(a, multiply(multiply(multiply(b, a), b), multiply(a, b)))),
% 60.19/60.37 inference(symmetry,[status(thm)],[358])).
% 60.19/60.37 tff(360,plain,
% 60.19/60.37 (multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), b))) = multiply(multiply(multiply(a, b), multiply(a, b)), multiply(a, b))),
% 60.19/60.37 inference(transitivity,[status(thm)],[359, 352, 349])).
% 60.19/60.37 tff(361,plain,
% 60.19/60.37 (multiply(multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), b))), multiply(a, b)) = multiply(multiply(multiply(multiply(a, b), multiply(a, b)), multiply(a, b)), multiply(a, b))),
% 60.19/60.37 inference(monotonicity,[status(thm)],[360])).
% 60.19/60.37 tff(362,plain,
% 60.19/60.37 (multiply(multiply(multiply(multiply(a, b), multiply(a, b)), multiply(a, b)), multiply(a, b)) = multiply(multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), b))), multiply(a, b))),
% 60.19/60.37 inference(symmetry,[status(thm)],[361])).
% 60.19/60.37 tff(363,plain,
% 60.19/60.37 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(a, b), multiply(a, b)), multiply(a, b)), multiply(a, b)) = multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(a, b), multiply(a, b))))),
% 60.19/60.37 inference(quant_inst,[status(thm)],[])).
% 60.19/60.37 tff(364,plain,
% 60.19/60.37 (multiply(multiply(multiply(multiply(a, b), multiply(a, b)), multiply(a, b)), multiply(a, b)) = multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(a, b), multiply(a, b)))),
% 60.19/60.37 inference(unit_resolution,[status(thm)],[363, 15])).
% 60.19/60.37 tff(365,plain,
% 60.19/60.37 (multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(a, b), multiply(a, b))) = multiply(multiply(multiply(multiply(a, b), multiply(a, b)), multiply(a, b)), multiply(a, b))),
% 60.19/60.37 inference(symmetry,[status(thm)],[364])).
% 60.19/60.37 tff(366,plain,
% 60.19/60.37 (multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(a, b), multiply(a, b))) = multiply(multiply(a, multiply(multiply(b, a), b)), multiply(multiply(a, b), multiply(a, b)))),
% 60.19/60.37 inference(monotonicity,[status(thm)],[347])).
% 60.19/60.37 tff(367,plain,
% 60.19/60.37 (multiply(multiply(a, multiply(multiply(b, a), b)), multiply(multiply(a, b), multiply(a, b))) = multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(a, b), multiply(a, b)))),
% 60.19/60.37 inference(symmetry,[status(thm)],[366])).
% 60.19/60.37 tff(368,plain,
% 60.19/60.37 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, multiply(multiply(b, a), b)), multiply(multiply(a, b), multiply(a, b))) = multiply(a, multiply(multiply(multiply(b, a), b), multiply(multiply(a, b), multiply(a, b)))))),
% 60.19/60.37 inference(quant_inst,[status(thm)],[])).
% 60.19/60.37 tff(369,plain,
% 60.19/60.37 (multiply(multiply(a, multiply(multiply(b, a), b)), multiply(multiply(a, b), multiply(a, b))) = multiply(a, multiply(multiply(multiply(b, a), b), multiply(multiply(a, b), multiply(a, b))))),
% 60.19/60.37 inference(unit_resolution,[status(thm)],[368, 15])).
% 60.19/60.37 tff(370,plain,
% 60.19/60.37 (multiply(a, multiply(multiply(multiply(b, a), b), multiply(multiply(a, b), multiply(a, b)))) = multiply(multiply(a, multiply(multiply(b, a), b)), multiply(multiply(a, b), multiply(a, b)))),
% 60.19/60.37 inference(symmetry,[status(thm)],[369])).
% 60.19/60.37 tff(371,plain,
% 60.19/60.37 (multiply(multiply(multiply(multiply(b, a), b), a), multiply(multiply(b, a), b)) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b))),
% 60.19/60.37 inference(monotonicity,[status(thm)],[207])).
% 60.19/60.37 tff(372,plain,
% 60.19/60.37 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(b, a), b), a), multiply(multiply(b, a), b)) = multiply(multiply(multiply(b, a), b), multiply(a, multiply(multiply(b, a), b))))),
% 60.19/60.37 inference(quant_inst,[status(thm)],[])).
% 60.19/60.37 tff(373,plain,
% 60.19/60.37 (multiply(multiply(multiply(multiply(b, a), b), a), multiply(multiply(b, a), b)) = multiply(multiply(multiply(b, a), b), multiply(a, multiply(multiply(b, a), b)))),
% 60.19/60.37 inference(unit_resolution,[status(thm)],[372, 15])).
% 60.19/60.37 tff(374,plain,
% 60.19/60.37 (multiply(multiply(multiply(b, a), b), multiply(a, multiply(multiply(b, a), b))) = multiply(multiply(multiply(multiply(b, a), b), a), multiply(multiply(b, a), b))),
% 60.19/60.37 inference(symmetry,[status(thm)],[373])).
% 60.19/60.37 tff(375,plain,
% 60.19/60.37 (multiply(multiply(multiply(b, a), b), multiply(multiply(a, b), multiply(a, b))) = multiply(multiply(multiply(b, a), b), multiply(a, multiply(multiply(b, a), b)))),
% 60.19/60.37 inference(monotonicity,[status(thm)],[347])).
% 60.19/60.37 tff(376,plain,
% 60.19/60.37 (multiply(multiply(multiply(b, a), b), multiply(multiply(a, b), multiply(a, b))) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b))),
% 60.19/60.37 inference(transitivity,[status(thm)],[375, 374, 371])).
% 60.19/60.37 tff(377,plain,
% 60.19/60.37 (multiply(a, multiply(multiply(multiply(b, a), b), multiply(multiply(a, b), multiply(a, b)))) = multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b)))),
% 60.19/60.37 inference(monotonicity,[status(thm)],[376])).
% 60.19/60.37 tff(378,plain,
% 60.19/60.37 (multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b))) = multiply(a, multiply(multiply(multiply(b, a), b), multiply(multiply(a, b), multiply(a, b))))),
% 60.19/60.37 inference(symmetry,[status(thm)],[377])).
% 60.19/60.37 tff(379,plain,
% 60.19/60.37 (multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b))) = multiply(multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), b))), multiply(a, b))),
% 60.19/60.37 inference(transitivity,[status(thm)],[378, 370, 367, 365, 362])).
% 60.19/60.37 tff(380,plain,
% 60.19/60.37 (multiply(multiply(b, multiply(b, b)), multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b)))) = multiply(multiply(b, multiply(b, b)), multiply(multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), b))), multiply(a, b)))),
% 60.19/60.37 inference(monotonicity,[status(thm)],[379])).
% 60.19/60.37 tff(381,plain,
% 60.19/60.37 ((~![Xk!0: $i, Xk!1: $i] : (inj_0(Xk!0, multiply(Xk!1, Xk!0)) = Xk!1)) | (inj_0(multiply(multiply(b, a), multiply(b, b)), multiply(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b))), multiply(multiply(b, a), multiply(b, b)))) = multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b))))),
% 60.19/60.37 inference(quant_inst,[status(thm)],[])).
% 60.19/60.37 tff(382,plain,
% 60.19/60.37 (inj_0(multiply(multiply(b, a), multiply(b, b)), multiply(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b))), multiply(multiply(b, a), multiply(b, b)))) = multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b)))),
% 60.19/60.37 inference(unit_resolution,[status(thm)],[381, 6])).
% 60.19/60.37 tff(383,plain,
% 60.19/60.37 (multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b))) = multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(a, b), multiply(a, b)))),
% 60.19/60.37 inference(transitivity,[status(thm)],[378, 370, 367])).
% 60.19/60.37 tff(384,plain,
% 60.19/60.37 (multiply(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b))), multiply(multiply(b, a), multiply(b, b))) = multiply(multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(a, b), multiply(a, b))), multiply(multiply(b, a), multiply(b, b)))),
% 60.19/60.37 inference(monotonicity,[status(thm)],[383])).
% 60.19/60.37 tff(385,plain,
% 60.19/60.37 (multiply(multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(a, b), multiply(a, b))), multiply(multiply(b, a), multiply(b, b))) = multiply(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b))), multiply(multiply(b, a), multiply(b, b)))),
% 60.19/60.37 inference(symmetry,[status(thm)],[384])).
% 60.19/60.37 tff(386,plain,
% 60.19/60.37 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(a, b), multiply(a, b))), multiply(multiply(b, a), multiply(b, b))) = multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(b, a), multiply(b, b)))))),
% 60.19/60.37 inference(quant_inst,[status(thm)],[])).
% 60.19/60.37 tff(387,plain,
% 60.19/60.37 (multiply(multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(a, b), multiply(a, b))), multiply(multiply(b, a), multiply(b, b))) = multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(b, a), multiply(b, b))))),
% 60.19/60.37 inference(unit_resolution,[status(thm)],[386, 15])).
% 60.19/60.37 tff(388,plain,
% 60.19/60.37 (multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(b, a), multiply(b, b)))) = multiply(multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(a, b), multiply(a, b))), multiply(multiply(b, a), multiply(b, b)))),
% 60.19/60.37 inference(symmetry,[status(thm)],[387])).
% 60.19/60.37 tff(389,plain,
% 60.19/60.37 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b)) = multiply(multiply(a, b), multiply(b, multiply(multiply(a, b), b))))),
% 60.19/60.37 inference(quant_inst,[status(thm)],[])).
% 60.19/60.37 tff(390,plain,
% 60.19/60.37 (multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b)) = multiply(multiply(a, b), multiply(b, multiply(multiply(a, b), b)))),
% 60.19/60.37 inference(unit_resolution,[status(thm)],[389, 15])).
% 60.19/60.37 tff(391,plain,
% 60.19/60.37 (multiply(multiply(a, b), multiply(b, multiply(multiply(a, b), b))) = multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b))),
% 60.19/60.37 inference(symmetry,[status(thm)],[390])).
% 60.19/60.37 tff(392,plain,
% 60.19/60.37 (multiply(b, multiply(multiply(a, b), b)) = multiply(b, multiply(a, multiply(b, b)))),
% 60.19/60.37 inference(monotonicity,[status(thm)],[126])).
% 60.19/60.37 tff(393,plain,
% 60.19/60.37 (multiply(b, multiply(a, multiply(b, b))) = multiply(b, multiply(multiply(a, b), b))),
% 60.19/60.37 inference(symmetry,[status(thm)],[392])).
% 60.19/60.37 tff(394,plain,
% 60.19/60.37 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, a), multiply(b, b)) = multiply(b, multiply(a, multiply(b, b))))),
% 60.19/60.37 inference(quant_inst,[status(thm)],[])).
% 60.19/60.37 tff(395,plain,
% 60.19/60.37 (multiply(multiply(b, a), multiply(b, b)) = multiply(b, multiply(a, multiply(b, b)))),
% 60.19/60.37 inference(unit_resolution,[status(thm)],[394, 15])).
% 60.19/60.37 tff(396,plain,
% 60.19/60.37 (multiply(multiply(b, a), multiply(b, b)) = multiply(b, multiply(multiply(a, b), b))),
% 60.19/60.37 inference(transitivity,[status(thm)],[395, 393])).
% 60.19/60.37 tff(397,plain,
% 60.19/60.37 (multiply(multiply(a, b), multiply(multiply(b, a), multiply(b, b))) = multiply(multiply(a, b), multiply(b, multiply(multiply(a, b), b)))),
% 60.19/60.37 inference(monotonicity,[status(thm)],[396])).
% 60.19/60.37 tff(398,plain,
% 60.19/60.37 (multiply(multiply(a, b), multiply(multiply(b, a), multiply(b, b))) = multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b))),
% 60.19/60.37 inference(transitivity,[status(thm)],[397, 391])).
% 60.19/60.37 tff(399,plain,
% 60.19/60.37 (multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(b, a), multiply(b, b)))) = multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b)))),
% 60.19/60.37 inference(monotonicity,[status(thm)],[398])).
% 60.19/60.37 tff(400,plain,
% 60.19/60.37 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(b, a), multiply(b, b))) = multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(b, a), multiply(b, b)))))),
% 60.19/60.37 inference(quant_inst,[status(thm)],[])).
% 60.19/60.37 tff(401,plain,
% 60.19/60.37 (multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(b, a), multiply(b, b))) = multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(b, a), multiply(b, b))))),
% 60.19/60.37 inference(unit_resolution,[status(thm)],[400, 15])).
% 60.19/60.37 tff(402,plain,
% 60.19/60.37 (multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(b, a), multiply(b, b))) = multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b)))),
% 60.19/60.37 inference(transitivity,[status(thm)],[401, 399])).
% 60.19/60.37 tff(403,plain,
% 60.19/60.37 (multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(b, a), multiply(b, b)))) = multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b))))),
% 60.19/60.38 inference(monotonicity,[status(thm)],[402])).
% 60.19/60.38 tff(404,plain,
% 60.19/60.38 (multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b)))) = multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(b, a), multiply(b, b))))),
% 60.19/60.38 inference(symmetry,[status(thm)],[403])).
% 60.19/60.38 tff(405,plain,
% 60.19/60.38 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b)))) = multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b))))))),
% 60.19/60.38 inference(quant_inst,[status(thm)],[])).
% 60.19/60.38 tff(406,plain,
% 60.19/60.38 (multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b)))) = multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b)))))),
% 60.19/60.38 inference(unit_resolution,[status(thm)],[405, 15])).
% 60.19/60.38 tff(407,plain,
% 60.19/60.38 (multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b))))) = multiply(multiply(multiply(a, b), multiply(a, b)), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b))))),
% 60.19/60.38 inference(symmetry,[status(thm)],[406])).
% 60.19/60.38 tff(408,plain,
% 60.19/60.38 ((~![Xk!0: $i, Xk!1: $i] : (inj_1(Xk!1, multiply(Xk!1, Xk!0)) = Xk!0)) | (inj_1(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b))))))) = multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b))))))),
% 60.19/60.38 inference(quant_inst,[status(thm)],[])).
% 60.19/60.38 tff(409,plain,
% 60.19/60.38 (inj_1(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b))))))) = multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b)))))),
% 60.19/60.38 inference(unit_resolution,[status(thm)],[408, 57])).
% 60.19/60.38 tff(410,plain,
% 60.19/60.38 ((~![Y: $i, X: $i] : (multiply(X, multiply(Y, multiply(Y, multiply(Y, multiply(X, Y))))) = multiply(Y, multiply(Y, multiply(Y, multiply(Y, multiply(X, X))))))) | (multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b)))))) = multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))))),
% 60.19/60.38 inference(quant_inst,[status(thm)],[])).
% 60.19/60.38 tff(411,plain,
% 60.19/60.38 (multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b)))))) = multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))))),
% 60.19/60.38 inference(unit_resolution,[status(thm)],[410, 68])).
% 60.19/60.38 tff(412,plain,
% 60.19/60.38 (multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))) = multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b))))))),
% 60.19/60.38 inference(symmetry,[status(thm)],[411])).
% 60.19/60.38 tff(413,plain,
% 60.19/60.38 (multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))))) = multiply(a, multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b)))))))),
% 60.19/60.38 inference(monotonicity,[status(thm)],[412])).
% 60.19/60.38 tff(414,plain,
% 60.19/60.38 (multiply(a, multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b))))))) = multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))))),
% 60.19/60.38 inference(symmetry,[status(thm)],[413])).
% 60.19/60.38 tff(415,plain,
% 60.19/60.38 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b)))))) = multiply(a, multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b))))))))),
% 60.19/60.38 inference(quant_inst,[status(thm)],[])).
% 60.19/60.38 tff(416,plain,
% 60.19/60.38 (multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b)))))) = multiply(a, multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b)))))))),
% 60.19/60.38 inference(unit_resolution,[status(thm)],[415, 15])).
% 60.19/60.38 tff(417,plain,
% 60.19/60.38 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(a, b), b), multiply(a, b)) = multiply(multiply(a, b), multiply(b, multiply(a, b))))),
% 60.19/60.38 inference(quant_inst,[status(thm)],[])).
% 60.19/60.38 tff(418,plain,
% 60.19/60.38 (multiply(multiply(multiply(a, b), b), multiply(a, b)) = multiply(multiply(a, b), multiply(b, multiply(a, b)))),
% 60.19/60.38 inference(unit_resolution,[status(thm)],[417, 15])).
% 60.19/60.38 tff(419,plain,
% 60.19/60.38 (multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(a, b))) = multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b))))),
% 60.19/60.38 inference(monotonicity,[status(thm)],[418])).
% 60.19/60.38 tff(420,plain,
% 60.19/60.38 (multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(a, b)))) = multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b)))))),
% 60.19/60.38 inference(monotonicity,[status(thm)],[419])).
% 60.19/60.38 tff(421,plain,
% 60.19/60.38 (multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(a, b))))) = multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b))))))),
% 60.19/60.38 inference(monotonicity,[status(thm)],[420])).
% 60.19/60.38 tff(422,plain,
% 60.19/60.38 (multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(a, b))))) = multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))))),
% 60.19/60.38 inference(transitivity,[status(thm)],[421, 416, 414])).
% 60.19/60.38 tff(423,plain,
% 60.19/60.38 (multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(a, b)))))) = multiply(b, multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))))))),
% 60.19/60.38 inference(monotonicity,[status(thm)],[422])).
% 60.19/60.38 tff(424,plain,
% 60.19/60.38 (multiply(b, multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))))) = multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(a, b))))))),
% 60.19/60.38 inference(symmetry,[status(thm)],[423])).
% 60.19/60.38 tff(425,plain,
% 60.19/60.38 (multiply(multiply(a, b), multiply(b, multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))))))) = multiply(multiply(a, b), multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(a, b)))))))),
% 60.19/60.38 inference(monotonicity,[status(thm)],[424])).
% 60.19/60.38 tff(426,plain,
% 60.19/60.38 (multiply(multiply(a, b), multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(a, b))))))) = multiply(multiply(a, b), multiply(b, multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))))))),
% 60.19/60.38 inference(symmetry,[status(thm)],[425])).
% 60.19/60.38 tff(427,plain,
% 60.19/60.38 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(a, b)))))) = multiply(multiply(a, b), multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(a, b))))))))),
% 60.19/60.38 inference(quant_inst,[status(thm)],[])).
% 60.19/60.38 tff(428,plain,
% 60.19/60.38 (multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(a, b)))))) = multiply(multiply(a, b), multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(a, b)))))))),
% 60.19/60.38 inference(unit_resolution,[status(thm)],[427, 15])).
% 60.19/60.38 tff(429,plain,
% 60.19/60.38 ((~![Y: $i, X: $i] : (multiply(X, multiply(Y, multiply(Y, multiply(Y, multiply(X, Y))))) = multiply(Y, multiply(Y, multiply(Y, multiply(Y, multiply(X, X))))))) | (multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(a, b)))))) = multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b)))))))),
% 60.19/60.38 inference(quant_inst,[status(thm)],[])).
% 60.19/60.38 tff(430,plain,
% 60.19/60.38 (multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(a, b)))))) = multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b))))))),
% 60.19/60.38 inference(unit_resolution,[status(thm)],[429, 68])).
% 60.19/60.38 tff(431,plain,
% 60.19/60.38 (multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b)))))) = multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(a, b))))))),
% 60.19/60.38 inference(symmetry,[status(thm)],[430])).
% 60.19/60.38 tff(432,plain,
% 60.19/60.38 (multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b)))))) = multiply(multiply(a, b), multiply(b, multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))))))),
% 60.19/60.38 inference(transitivity,[status(thm)],[431, 428, 426])).
% 60.19/60.38 tff(433,plain,
% 60.19/60.38 (inj_1(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b))))))) = inj_1(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))))))))),
% 60.19/60.38 inference(monotonicity,[status(thm)],[432])).
% 60.19/60.38 tff(434,plain,
% 60.19/60.38 (inj_1(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))))))) = inj_1(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(multiply(a, b), b)))))))),
% 60.19/60.38 inference(symmetry,[status(thm)],[433])).
% 60.19/60.38 tff(435,plain,
% 60.19/60.38 ((~![Xk!0: $i, Xk!1: $i] : (inj_1(Xk!1, multiply(Xk!1, Xk!0)) = Xk!0)) | (inj_1(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))))))) = multiply(b, multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))))))),
% 60.19/60.38 inference(quant_inst,[status(thm)],[])).
% 60.19/60.38 tff(436,plain,
% 60.19/60.38 (inj_1(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))))))) = multiply(b, multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))))))),
% 60.19/60.38 inference(unit_resolution,[status(thm)],[435, 57])).
% 60.19/60.38 tff(437,plain,
% 60.19/60.38 (multiply(b, multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))))) = inj_1(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))))))))),
% 60.19/60.38 inference(symmetry,[status(thm)],[436])).
% 60.19/60.38 tff(438,plain,
% 60.19/60.38 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, a), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))))) = multiply(b, multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))))))),
% 60.19/60.38 inference(quant_inst,[status(thm)],[])).
% 60.19/60.38 tff(439,plain,
% 60.19/60.38 (multiply(multiply(b, a), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))))) = multiply(b, multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))))))),
% 60.19/60.38 inference(unit_resolution,[status(thm)],[438, 15])).
% 60.19/60.38 tff(440,plain,
% 60.19/60.38 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, multiply(a, b)), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b))))) = multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b)))))))),
% 60.19/60.38 inference(quant_inst,[status(thm)],[])).
% 60.19/60.38 tff(441,plain,
% 60.19/60.38 (multiply(multiply(b, multiply(a, b)), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b))))) = multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b))))))),
% 60.19/60.38 inference(unit_resolution,[status(thm)],[440, 15])).
% 60.19/60.38 tff(442,plain,
% 60.19/60.38 (multiply(multiply(multiply(b, a), b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b))))) = multiply(multiply(b, multiply(a, b)), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b)))))),
% 60.19/60.38 inference(monotonicity,[status(thm)],[180])).
% 60.19/60.38 tff(443,plain,
% 60.19/60.38 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, a), b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b))))) = multiply(multiply(b, a), multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b)))))))),
% 60.19/60.38 inference(quant_inst,[status(thm)],[])).
% 60.19/60.38 tff(444,plain,
% 60.19/60.38 (multiply(multiply(multiply(b, a), b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b))))) = multiply(multiply(b, a), multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b))))))),
% 60.19/60.38 inference(unit_resolution,[status(thm)],[443, 15])).
% 60.19/60.38 tff(445,plain,
% 60.19/60.38 (multiply(multiply(b, a), multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b)))))) = multiply(multiply(multiply(b, a), b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b)))))),
% 60.19/60.38 inference(symmetry,[status(thm)],[444])).
% 60.19/60.38 tff(446,plain,
% 60.19/60.38 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b)))) = multiply(a, multiply(b, multiply(multiply(a, b), multiply(b, multiply(a, b))))))),
% 60.19/60.38 inference(quant_inst,[status(thm)],[])).
% 60.19/60.38 tff(447,plain,
% 60.19/60.38 (multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b)))) = multiply(a, multiply(b, multiply(multiply(a, b), multiply(b, multiply(a, b)))))),
% 60.19/60.38 inference(unit_resolution,[status(thm)],[446, 15])).
% 60.19/60.38 tff(448,plain,
% 60.19/60.38 (multiply(a, multiply(b, multiply(multiply(a, b), multiply(b, multiply(a, b))))) = multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b))))),
% 60.19/60.38 inference(symmetry,[status(thm)],[447])).
% 60.19/60.38 tff(449,plain,
% 60.19/60.38 (multiply(b, multiply(a, multiply(b, multiply(multiply(a, b), multiply(b, multiply(a, b)))))) = multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b)))))),
% 60.19/60.38 inference(monotonicity,[status(thm)],[448])).
% 60.19/60.38 tff(450,plain,
% 60.19/60.38 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, a), multiply(b, multiply(multiply(a, b), multiply(b, multiply(a, b))))) = multiply(b, multiply(a, multiply(b, multiply(multiply(a, b), multiply(b, multiply(a, b)))))))),
% 60.19/60.38 inference(quant_inst,[status(thm)],[])).
% 60.19/60.38 tff(451,plain,
% 60.19/60.38 (multiply(multiply(b, a), multiply(b, multiply(multiply(a, b), multiply(b, multiply(a, b))))) = multiply(b, multiply(a, multiply(b, multiply(multiply(a, b), multiply(b, multiply(a, b))))))),
% 60.19/60.38 inference(unit_resolution,[status(thm)],[450, 15])).
% 60.19/60.38 tff(452,plain,
% 60.19/60.38 (multiply(multiply(a, b), multiply(multiply(b, a), b)) = multiply(multiply(a, b), multiply(b, multiply(a, b)))),
% 60.19/60.38 inference(monotonicity,[status(thm)],[180])).
% 60.19/60.38 tff(453,plain,
% 60.19/60.38 (multiply(b, multiply(multiply(a, b), multiply(multiply(b, a), b))) = multiply(b, multiply(multiply(a, b), multiply(b, multiply(a, b))))),
% 60.19/60.38 inference(monotonicity,[status(thm)],[452])).
% 60.19/60.38 tff(454,plain,
% 60.19/60.38 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, multiply(a, b)), multiply(multiply(b, a), b)) = multiply(b, multiply(multiply(a, b), multiply(multiply(b, a), b))))),
% 60.19/60.38 inference(quant_inst,[status(thm)],[])).
% 60.19/60.38 tff(455,plain,
% 60.19/60.38 (multiply(multiply(b, multiply(a, b)), multiply(multiply(b, a), b)) = multiply(b, multiply(multiply(a, b), multiply(multiply(b, a), b)))),
% 60.19/60.38 inference(unit_resolution,[status(thm)],[454, 15])).
% 60.19/60.38 tff(456,plain,
% 60.19/60.38 (multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), b)) = multiply(multiply(b, multiply(a, b)), multiply(multiply(b, a), b))),
% 60.19/60.38 inference(monotonicity,[status(thm)],[180])).
% 60.19/60.38 tff(457,plain,
% 60.19/60.38 (multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), b)) = multiply(b, multiply(multiply(a, b), multiply(b, multiply(a, b))))),
% 60.19/60.38 inference(transitivity,[status(thm)],[456, 455, 453])).
% 60.19/60.38 tff(458,plain,
% 60.19/60.38 (multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), b))) = multiply(multiply(b, a), multiply(b, multiply(multiply(a, b), multiply(b, multiply(a, b)))))),
% 60.19/60.38 inference(monotonicity,[status(thm)],[457])).
% 60.19/60.38 tff(459,plain,
% 60.19/60.38 (multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), b))) = multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b)))))),
% 60.19/60.38 inference(transitivity,[status(thm)],[458, 451, 449])).
% 60.19/60.38 tff(460,plain,
% 60.19/60.38 (multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), b)))) = multiply(multiply(b, a), multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b))))))),
% 60.19/60.38 inference(monotonicity,[status(thm)],[459])).
% 60.19/60.38 tff(461,plain,
% 60.19/60.38 (multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), b)))) = multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))))),
% 60.19/60.38 inference(transitivity,[status(thm)],[460, 445, 442, 441, 411])).
% 60.19/60.38 tff(462,plain,
% 60.19/60.38 (multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), b))))) = multiply(multiply(b, a), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))))),
% 60.19/60.39 inference(monotonicity,[status(thm)],[461])).
% 60.19/60.39 tff(463,plain,
% 60.19/60.39 ((~![Xk!0: $i, Xk!1: $i] : (inj_1(Xk!1, multiply(Xk!1, Xk!0)) = Xk!0)) | (inj_1(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), b))))))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), b))))))),
% 60.19/60.39 inference(quant_inst,[status(thm)],[])).
% 60.19/60.39 tff(464,plain,
% 60.19/60.39 (inj_1(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), b))))))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), b)))))),
% 60.19/60.39 inference(unit_resolution,[status(thm)],[463, 57])).
% 60.19/60.39 tff(465,plain,
% 60.19/60.39 ((~![Y: $i, X: $i] : (multiply(X, multiply(Y, multiply(Y, multiply(Y, multiply(X, Y))))) = multiply(Y, multiply(Y, multiply(Y, multiply(Y, multiply(X, X))))))) | (multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a)))))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), b)))))))),
% 60.19/60.39 inference(quant_inst,[status(thm)],[])).
% 60.19/60.39 tff(466,plain,
% 60.19/60.39 (multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a)))))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), b))))))),
% 60.19/60.39 inference(unit_resolution,[status(thm)],[465, 68])).
% 60.19/60.39 tff(467,plain,
% 60.19/60.39 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a)))))) = multiply(multiply(b, a), multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a))))))))),
% 60.19/60.39 inference(quant_inst,[status(thm)],[])).
% 60.19/60.39 tff(468,plain,
% 60.19/60.39 (multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a)))))) = multiply(multiply(b, a), multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a)))))))),
% 60.19/60.39 inference(unit_resolution,[status(thm)],[467, 15])).
% 60.19/60.39 tff(469,plain,
% 60.19/60.39 (multiply(multiply(b, a), multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a))))))) = multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a))))))),
% 60.19/60.39 inference(symmetry,[status(thm)],[468])).
% 60.19/60.39 tff(470,plain,
% 60.19/60.39 (multiply(multiply(b, a), multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a))))))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), b))))))),
% 60.19/60.39 inference(transitivity,[status(thm)],[469, 466])).
% 60.19/60.39 tff(471,plain,
% 60.19/60.39 (inj_1(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a)))))))) = inj_1(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), b)))))))),
% 60.19/60.39 inference(monotonicity,[status(thm)],[470])).
% 60.19/60.39 tff(472,plain,
% 60.19/60.39 ((~![Xk!0: $i, Xk!1: $i] : (inj_1(Xk!1, multiply(Xk!1, Xk!0)) = Xk!0)) | (inj_1(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a)))))))) = multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a)))))))),
% 60.19/60.39 inference(quant_inst,[status(thm)],[])).
% 60.19/60.39 tff(473,plain,
% 60.19/60.39 (inj_1(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a)))))))) = multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a))))))),
% 60.19/60.39 inference(unit_resolution,[status(thm)],[472, 57])).
% 60.19/60.39 tff(474,plain,
% 60.19/60.39 (multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a)))))) = inj_1(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a))))))))),
% 60.19/60.39 inference(symmetry,[status(thm)],[473])).
% 60.19/60.39 tff(475,plain,
% 60.19/60.39 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(b, a))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))),
% 60.19/60.39 inference(quant_inst,[status(thm)],[])).
% 60.19/60.39 tff(476,plain,
% 60.19/60.39 (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(b, a))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))),
% 60.19/60.39 inference(unit_resolution,[status(thm)],[475, 15])).
% 60.19/60.39 tff(477,plain,
% 60.19/60.39 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(b, a), multiply(b, a)), b), multiply(b, a)) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(b, a))))),
% 60.19/60.39 inference(quant_inst,[status(thm)],[])).
% 60.19/60.39 tff(478,plain,
% 60.19/60.39 (multiply(multiply(multiply(multiply(b, a), multiply(b, a)), b), multiply(b, a)) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(b, a)))),
% 60.19/60.39 inference(unit_resolution,[status(thm)],[477, 15])).
% 60.19/60.39 tff(479,plain,
% 60.19/60.39 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, a), multiply(b, a)), b) = multiply(multiply(b, a), multiply(multiply(b, a), b)))),
% 60.19/60.39 inference(quant_inst,[status(thm)],[])).
% 60.19/60.39 tff(480,plain,
% 60.19/60.39 (multiply(multiply(multiply(b, a), multiply(b, a)), b) = multiply(multiply(b, a), multiply(multiply(b, a), b))),
% 60.19/60.39 inference(unit_resolution,[status(thm)],[479, 15])).
% 60.19/60.39 tff(481,plain,
% 60.19/60.39 (multiply(multiply(b, a), multiply(multiply(b, a), b)) = multiply(multiply(multiply(b, a), multiply(b, a)), b)),
% 60.19/60.39 inference(symmetry,[status(thm)],[480])).
% 60.19/60.39 tff(482,plain,
% 60.19/60.39 (multiply(multiply(multiply(b, a), multiply(multiply(b, a), b)), multiply(b, a)) = multiply(multiply(multiply(multiply(b, a), multiply(b, a)), b), multiply(b, a))),
% 60.19/60.39 inference(monotonicity,[status(thm)],[481])).
% 60.19/60.39 tff(483,plain,
% 60.19/60.39 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, a), multiply(multiply(b, a), b)), multiply(b, a)) = multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a))))),
% 60.19/60.39 inference(quant_inst,[status(thm)],[])).
% 60.19/60.39 tff(484,plain,
% 60.19/60.39 (multiply(multiply(multiply(b, a), multiply(multiply(b, a), b)), multiply(b, a)) = multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a)))),
% 60.19/60.39 inference(unit_resolution,[status(thm)],[483, 15])).
% 60.19/60.39 tff(485,plain,
% 60.19/60.39 (multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a))) = multiply(multiply(multiply(b, a), multiply(multiply(b, a), b)), multiply(b, a))),
% 60.19/60.39 inference(symmetry,[status(thm)],[484])).
% 60.19/60.39 tff(486,plain,
% 60.19/60.39 (multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))),
% 60.19/60.39 inference(transitivity,[status(thm)],[485, 482, 478, 476])).
% 60.19/60.39 tff(487,plain,
% 60.19/60.39 (multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a)))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))),
% 60.19/60.39 inference(monotonicity,[status(thm)],[486])).
% 60.19/60.39 tff(488,plain,
% 60.19/60.39 (multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a))))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))),
% 60.19/60.39 inference(monotonicity,[status(thm)],[487])).
% 60.19/60.39 tff(489,plain,
% 60.19/60.39 (multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a)))))),
% 60.19/60.39 inference(symmetry,[status(thm)],[488])).
% 60.19/60.39 tff(490,plain,
% 60.19/60.39 (multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))) = multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a))))))),
% 60.19/60.39 inference(monotonicity,[status(thm)],[489])).
% 60.19/60.39 tff(491,plain,
% 60.19/60.39 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, multiply(b, a)), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))) = multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))))),
% 60.19/60.39 inference(quant_inst,[status(thm)],[])).
% 60.19/60.39 tff(492,plain,
% 60.19/60.39 (multiply(multiply(b, multiply(b, a)), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))) = multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))))),
% 60.19/60.39 inference(unit_resolution,[status(thm)],[491, 15])).
% 60.19/60.39 tff(493,plain,
% 60.19/60.39 ((~![Xk!0: $i, Xk!1: $i] : (inj_1(Xk!1, multiply(Xk!1, Xk!0)) = Xk!0)) | (inj_1(b, multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))),
% 60.19/60.39 inference(quant_inst,[status(thm)],[])).
% 60.19/60.39 tff(494,plain,
% 60.19/60.39 (inj_1(b, multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))),
% 60.19/60.39 inference(unit_resolution,[status(thm)],[493, 57])).
% 60.19/60.39 tff(495,plain,
% 60.19/60.39 ((~![Y: $i, X: $i] : (multiply(X, multiply(Y, multiply(Y, multiply(Y, multiply(X, Y))))) = multiply(Y, multiply(Y, multiply(Y, multiply(Y, multiply(X, X))))))) | (multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))))))),
% 60.19/60.39 inference(quant_inst,[status(thm)],[])).
% 60.19/60.39 tff(496,plain,
% 60.19/60.39 (multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))))),
% 60.19/60.39 inference(unit_resolution,[status(thm)],[495, 68])).
% 60.19/60.39 tff(497,plain,
% 60.19/60.39 (multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))))) = multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))),
% 60.19/60.39 inference(symmetry,[status(thm)],[496])).
% 60.19/60.39 tff(498,plain,
% 60.19/60.39 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))))) = multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))))))),
% 60.19/60.39 inference(quant_inst,[status(thm)],[])).
% 60.19/60.39 tff(499,plain,
% 60.19/60.39 (multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))))) = multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))))))),
% 60.19/60.39 inference(unit_resolution,[status(thm)],[498, 15])).
% 60.19/60.39 tff(500,plain,
% 60.19/60.39 (multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))))),
% 60.19/60.39 inference(symmetry,[status(thm)],[499])).
% 60.19/60.39 tff(501,plain,
% 60.19/60.39 (multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))))) = multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))),
% 60.19/60.39 inference(transitivity,[status(thm)],[500, 497])).
% 60.19/60.39 tff(502,plain,
% 60.19/60.39 (inj_1(b, multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))))))) = inj_1(b, multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))))),
% 60.26/60.39 inference(monotonicity,[status(thm)],[501])).
% 60.26/60.39 tff(503,plain,
% 60.26/60.39 ((~![Xk!0: $i, Xk!1: $i] : (inj_1(Xk!1, multiply(Xk!1, Xk!0)) = Xk!0)) | (inj_1(b, multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))))))) = multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))))))),
% 60.26/60.39 inference(quant_inst,[status(thm)],[])).
% 60.26/60.39 tff(504,plain,
% 60.26/60.39 (inj_1(b, multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))))))) = multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))))),
% 60.26/60.39 inference(unit_resolution,[status(thm)],[503, 57])).
% 60.26/60.39 tff(505,plain,
% 60.26/60.39 (multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))))) = inj_1(b, multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))))))),
% 60.26/60.39 inference(symmetry,[status(thm)],[504])).
% 60.26/60.39 tff(506,plain,
% 60.26/60.39 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), multiply(b, b))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))))),
% 60.26/60.39 inference(quant_inst,[status(thm)],[])).
% 60.26/60.39 tff(507,plain,
% 60.26/60.39 (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), multiply(b, b))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))))),
% 60.26/60.39 inference(unit_resolution,[status(thm)],[506, 15])).
% 60.26/60.39 tff(508,plain,
% 60.26/60.39 (multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), multiply(b, b)))) = multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))))),
% 60.26/60.39 inference(monotonicity,[status(thm)],[507])).
% 60.26/60.39 tff(509,plain,
% 60.26/60.39 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, multiply(multiply(b, a), multiply(b, a))), multiply(multiply(b, a), multiply(b, b))) = multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), multiply(b, b)))))),
% 60.26/60.39 inference(quant_inst,[status(thm)],[])).
% 60.26/60.39 tff(510,plain,
% 60.26/60.39 (multiply(multiply(a, multiply(multiply(b, a), multiply(b, a))), multiply(multiply(b, a), multiply(b, b))) = multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), multiply(b, b))))),
% 60.26/60.39 inference(unit_resolution,[status(thm)],[509, 15])).
% 60.26/60.39 tff(511,plain,
% 60.26/60.39 (multiply(multiply(a, multiply(multiply(b, a), multiply(b, a))), multiply(multiply(b, a), multiply(b, b))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))),
% 60.26/60.39 inference(transitivity,[status(thm)],[510, 508, 505, 502, 494])).
% 60.26/60.39 tff(512,plain,
% 60.26/60.39 (multiply(multiply(b, multiply(b, a)), multiply(multiply(a, multiply(multiply(b, a), multiply(b, a))), multiply(multiply(b, a), multiply(b, b)))) = multiply(multiply(b, multiply(b, a)), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))),
% 60.26/60.39 inference(monotonicity,[status(thm)],[511])).
% 60.26/60.39 tff(513,plain,
% 60.26/60.39 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, multiply(b, a)), multiply(a, multiply(multiply(b, a), multiply(b, a)))), multiply(multiply(b, a), multiply(b, b))) = multiply(multiply(b, multiply(b, a)), multiply(multiply(a, multiply(multiply(b, a), multiply(b, a))), multiply(multiply(b, a), multiply(b, b)))))),
% 60.26/60.39 inference(quant_inst,[status(thm)],[])).
% 60.26/60.39 tff(514,plain,
% 60.26/60.39 (multiply(multiply(multiply(b, multiply(b, a)), multiply(a, multiply(multiply(b, a), multiply(b, a)))), multiply(multiply(b, a), multiply(b, b))) = multiply(multiply(b, multiply(b, a)), multiply(multiply(a, multiply(multiply(b, a), multiply(b, a))), multiply(multiply(b, a), multiply(b, b))))),
% 60.26/60.39 inference(unit_resolution,[status(thm)],[513, 15])).
% 60.26/60.39 tff(515,plain,
% 60.26/60.39 (multiply(multiply(multiply(b, multiply(b, a)), multiply(a, multiply(multiply(b, a), multiply(b, a)))), multiply(multiply(b, a), multiply(b, b))) = multiply(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b))), multiply(multiply(b, a), multiply(b, b)))),
% 60.26/60.39 inference(transitivity,[status(thm)],[514, 512, 492, 490, 474, 471, 464, 462, 439, 437, 434, 409, 407, 404, 388, 385])).
% 60.26/60.39 tff(516,plain,
% 60.26/60.39 (inj_0(multiply(multiply(b, a), multiply(b, b)), multiply(multiply(multiply(b, multiply(b, a)), multiply(a, multiply(multiply(b, a), multiply(b, a)))), multiply(multiply(b, a), multiply(b, b)))) = inj_0(multiply(multiply(b, a), multiply(b, b)), multiply(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b))), multiply(multiply(b, a), multiply(b, b))))),
% 60.26/60.39 inference(monotonicity,[status(thm)],[515])).
% 60.26/60.39 tff(517,plain,
% 60.26/60.39 ((~![Xk!0: $i, Xk!1: $i] : (inj_0(Xk!0, multiply(Xk!1, Xk!0)) = Xk!1)) | (inj_0(multiply(multiply(b, a), multiply(b, b)), multiply(multiply(multiply(b, multiply(b, a)), multiply(a, multiply(multiply(b, a), multiply(b, a)))), multiply(multiply(b, a), multiply(b, b)))) = multiply(multiply(b, multiply(b, a)), multiply(a, multiply(multiply(b, a), multiply(b, a)))))),
% 60.26/60.39 inference(quant_inst,[status(thm)],[])).
% 60.26/60.39 tff(518,plain,
% 60.26/60.39 (inj_0(multiply(multiply(b, a), multiply(b, b)), multiply(multiply(multiply(b, multiply(b, a)), multiply(a, multiply(multiply(b, a), multiply(b, a)))), multiply(multiply(b, a), multiply(b, b)))) = multiply(multiply(b, multiply(b, a)), multiply(a, multiply(multiply(b, a), multiply(b, a))))),
% 60.26/60.39 inference(unit_resolution,[status(thm)],[517, 6])).
% 60.26/60.39 tff(519,plain,
% 60.26/60.39 (multiply(multiply(b, multiply(b, a)), multiply(a, multiply(multiply(b, a), multiply(b, a)))) = inj_0(multiply(multiply(b, a), multiply(b, b)), multiply(multiply(multiply(b, multiply(b, a)), multiply(a, multiply(multiply(b, a), multiply(b, a)))), multiply(multiply(b, a), multiply(b, b))))),
% 60.26/60.40 inference(symmetry,[status(thm)],[518])).
% 60.26/60.40 tff(520,plain,
% 60.26/60.40 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, multiply(b, a)), a), multiply(multiply(b, a), multiply(b, a))) = multiply(multiply(b, multiply(b, a)), multiply(a, multiply(multiply(b, a), multiply(b, a)))))),
% 60.26/60.40 inference(quant_inst,[status(thm)],[])).
% 60.26/60.40 tff(521,plain,
% 60.26/60.40 (multiply(multiply(multiply(b, multiply(b, a)), a), multiply(multiply(b, a), multiply(b, a))) = multiply(multiply(b, multiply(b, a)), multiply(a, multiply(multiply(b, a), multiply(b, a))))),
% 60.26/60.40 inference(unit_resolution,[status(thm)],[520, 15])).
% 60.26/60.40 tff(522,plain,
% 60.26/60.40 (multiply(multiply(multiply(b, b), multiply(a, a)), multiply(multiply(b, a), multiply(b, a))) = multiply(multiply(multiply(b, multiply(b, a)), a), multiply(multiply(b, a), multiply(b, a)))),
% 60.26/60.40 inference(monotonicity,[status(thm)],[150])).
% 60.26/60.40 tff(523,plain,
% 60.26/60.40 (multiply(multiply(multiply(b, b), multiply(a, a)), multiply(multiply(b, a), multiply(b, a))) = multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b)))),
% 60.26/60.40 inference(transitivity,[status(thm)],[522, 521, 519, 516, 382])).
% 60.26/60.40 tff(524,plain,
% 60.26/60.40 (multiply(multiply(b, multiply(b, b)), multiply(multiply(multiply(b, b), multiply(a, a)), multiply(multiply(b, a), multiply(b, a)))) = multiply(multiply(b, multiply(b, b)), multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), b))))),
% 60.26/60.40 inference(monotonicity,[status(thm)],[523])).
% 60.26/60.40 tff(525,plain,
% 60.26/60.40 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, multiply(b, b)), multiply(multiply(b, b), multiply(a, a))), multiply(multiply(b, a), multiply(b, a))) = multiply(multiply(b, multiply(b, b)), multiply(multiply(multiply(b, b), multiply(a, a)), multiply(multiply(b, a), multiply(b, a)))))),
% 60.26/60.40 inference(quant_inst,[status(thm)],[])).
% 60.26/60.40 tff(526,plain,
% 60.26/60.40 (multiply(multiply(multiply(b, multiply(b, b)), multiply(multiply(b, b), multiply(a, a))), multiply(multiply(b, a), multiply(b, a))) = multiply(multiply(b, multiply(b, b)), multiply(multiply(multiply(b, b), multiply(a, a)), multiply(multiply(b, a), multiply(b, a))))),
% 60.26/60.40 inference(unit_resolution,[status(thm)],[525, 15])).
% 60.26/60.40 tff(527,plain,
% 60.26/60.40 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, multiply(b, b)), multiply(multiply(b, b), multiply(a, a))) = multiply(b, multiply(multiply(b, b), multiply(multiply(b, b), multiply(a, a)))))),
% 60.26/60.40 inference(quant_inst,[status(thm)],[])).
% 60.26/60.40 tff(528,plain,
% 60.26/60.40 (multiply(multiply(b, multiply(b, b)), multiply(multiply(b, b), multiply(a, a))) = multiply(b, multiply(multiply(b, b), multiply(multiply(b, b), multiply(a, a))))),
% 60.26/60.40 inference(unit_resolution,[status(thm)],[527, 15])).
% 60.26/60.40 tff(529,plain,
% 60.26/60.40 (multiply(b, multiply(multiply(b, b), multiply(multiply(b, b), multiply(a, a)))) = multiply(multiply(b, multiply(b, b)), multiply(multiply(b, b), multiply(a, a)))),
% 60.26/60.40 inference(symmetry,[status(thm)],[528])).
% 60.26/60.40 tff(530,plain,
% 60.26/60.40 (multiply(multiply(b, b), multiply(multiply(b, b), multiply(a, a))) = multiply(multiply(a, b), multiply(b, multiply(b, multiply(a, b))))),
% 60.26/60.40 inference(transitivity,[status(thm)],[197, 195, 189, 186])).
% 60.26/60.40 tff(531,plain,
% 60.26/60.40 (multiply(b, multiply(multiply(b, b), multiply(multiply(b, b), multiply(a, a)))) = multiply(b, multiply(multiply(a, b), multiply(b, multiply(b, multiply(a, b)))))),
% 60.26/60.40 inference(monotonicity,[status(thm)],[530])).
% 60.26/60.40 tff(532,plain,
% 60.26/60.40 (multiply(b, multiply(multiply(a, b), multiply(b, multiply(b, multiply(a, b))))) = multiply(b, multiply(multiply(b, b), multiply(multiply(b, b), multiply(a, a))))),
% 60.26/60.40 inference(symmetry,[status(thm)],[531])).
% 60.26/60.40 tff(533,plain,
% 60.26/60.40 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, multiply(a, b)), multiply(b, multiply(b, multiply(a, b)))) = multiply(b, multiply(multiply(a, b), multiply(b, multiply(b, multiply(a, b))))))),
% 60.26/60.40 inference(quant_inst,[status(thm)],[])).
% 60.26/60.40 tff(534,plain,
% 60.26/60.40 (multiply(multiply(b, multiply(a, b)), multiply(b, multiply(b, multiply(a, b)))) = multiply(b, multiply(multiply(a, b), multiply(b, multiply(b, multiply(a, b)))))),
% 60.26/60.40 inference(unit_resolution,[status(thm)],[533, 15])).
% 60.26/60.40 tff(535,plain,
% 60.26/60.40 (multiply(b, multiply(b, multiply(a, b))) = multiply(b, multiply(multiply(b, a), b))),
% 60.26/60.40 inference(symmetry,[status(thm)],[181])).
% 60.26/60.40 tff(536,plain,
% 60.26/60.40 (multiply(multiply(b, multiply(a, b)), multiply(b, multiply(b, multiply(a, b)))) = multiply(multiply(multiply(b, a), b), multiply(b, multiply(multiply(b, a), b)))),
% 60.26/60.40 inference(monotonicity,[status(thm)],[353, 535])).
% 60.26/60.40 tff(537,plain,
% 60.26/60.40 (multiply(multiply(multiply(b, a), b), multiply(b, multiply(multiply(b, a), b))) = multiply(multiply(b, multiply(a, b)), multiply(b, multiply(b, multiply(a, b))))),
% 60.26/60.40 inference(symmetry,[status(thm)],[536])).
% 60.26/60.40 tff(538,plain,
% 60.26/60.40 (multiply(multiply(multiply(b, a), b), multiply(b, multiply(multiply(b, a), b))) = multiply(multiply(b, multiply(b, b)), multiply(multiply(b, b), multiply(a, a)))),
% 60.26/60.40 inference(transitivity,[status(thm)],[537, 534, 532, 529])).
% 60.26/60.40 tff(539,plain,
% 60.26/60.40 (multiply(multiply(multiply(multiply(b, a), b), multiply(b, multiply(multiply(b, a), b))), multiply(multiply(b, a), multiply(b, a))) = multiply(multiply(multiply(b, multiply(b, b)), multiply(multiply(b, b), multiply(a, a))), multiply(multiply(b, a), multiply(b, a)))),
% 60.26/60.40 inference(monotonicity,[status(thm)],[538])).
% 60.26/60.40 tff(540,plain,
% 60.26/60.40 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, multiply(b, a)), b) = multiply(b, multiply(multiply(b, a), b)))),
% 60.26/60.40 inference(quant_inst,[status(thm)],[])).
% 60.26/60.40 tff(541,plain,
% 60.26/60.40 (multiply(multiply(b, multiply(b, a)), b) = multiply(b, multiply(multiply(b, a), b))),
% 60.26/60.40 inference(unit_resolution,[status(thm)],[540, 15])).
% 60.26/60.40 tff(542,plain,
% 60.26/60.40 (multiply(multiply(multiply(b, a), b), multiply(multiply(b, multiply(b, a)), b)) = multiply(multiply(multiply(b, a), b), multiply(b, multiply(multiply(b, a), b)))),
% 60.26/60.40 inference(monotonicity,[status(thm)],[541])).
% 60.26/60.40 tff(543,plain,
% 60.26/60.40 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(b, a), b), multiply(b, multiply(b, a))), b) = multiply(multiply(multiply(b, a), b), multiply(multiply(b, multiply(b, a)), b)))),
% 60.26/60.40 inference(quant_inst,[status(thm)],[])).
% 60.26/60.40 tff(544,plain,
% 60.26/60.40 (multiply(multiply(multiply(multiply(b, a), b), multiply(b, multiply(b, a))), b) = multiply(multiply(multiply(b, a), b), multiply(multiply(b, multiply(b, a)), b))),
% 60.26/60.40 inference(unit_resolution,[status(thm)],[543, 15])).
% 60.26/60.40 tff(545,plain,
% 60.26/60.40 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, a), b), multiply(b, multiply(b, a))) = multiply(multiply(b, a), multiply(b, multiply(b, multiply(b, a)))))),
% 60.26/60.40 inference(quant_inst,[status(thm)],[])).
% 60.26/60.40 tff(546,plain,
% 60.26/60.40 (multiply(multiply(multiply(b, a), b), multiply(b, multiply(b, a))) = multiply(multiply(b, a), multiply(b, multiply(b, multiply(b, a))))),
% 60.26/60.40 inference(unit_resolution,[status(thm)],[545, 15])).
% 60.26/60.40 tff(547,plain,
% 60.26/60.40 (multiply(multiply(b, a), multiply(b, multiply(b, multiply(b, a)))) = multiply(multiply(multiply(b, a), b), multiply(b, multiply(b, a)))),
% 60.26/60.40 inference(symmetry,[status(thm)],[546])).
% 60.26/60.40 tff(548,plain,
% 60.26/60.40 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, a), multiply(b, multiply(b, multiply(b, a)))) = multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))))),
% 60.26/60.40 inference(quant_inst,[status(thm)],[])).
% 60.26/60.40 tff(549,plain,
% 60.26/60.40 (multiply(multiply(b, a), multiply(b, multiply(b, multiply(b, a)))) = multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a)))))),
% 60.26/60.40 inference(unit_resolution,[status(thm)],[548, 15])).
% 60.26/60.40 tff(550,plain,
% 60.26/60.40 (multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))) = multiply(multiply(b, a), multiply(b, multiply(b, multiply(b, a))))),
% 60.26/60.40 inference(symmetry,[status(thm)],[549])).
% 60.26/60.40 tff(551,plain,
% 60.26/60.40 (multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))) = multiply(multiply(multiply(b, a), b), multiply(b, multiply(b, a)))),
% 60.26/60.40 inference(transitivity,[status(thm)],[550, 547])).
% 60.26/60.40 tff(552,plain,
% 60.26/60.40 (multiply(multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))), b) = multiply(multiply(multiply(multiply(b, a), b), multiply(b, multiply(b, a))), b)),
% 60.26/60.40 inference(monotonicity,[status(thm)],[551])).
% 60.26/60.40 tff(553,plain,
% 60.26/60.40 (multiply(multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))), b) = multiply(multiply(multiply(b, a), b), multiply(b, multiply(multiply(b, a), b)))),
% 60.26/60.40 inference(transitivity,[status(thm)],[552, 544, 542])).
% 60.26/60.40 tff(554,plain,
% 60.26/60.40 (multiply(multiply(multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))), b), multiply(multiply(b, a), multiply(b, a))) = multiply(multiply(multiply(multiply(b, a), b), multiply(b, multiply(multiply(b, a), b))), multiply(multiply(b, a), multiply(b, a)))),
% 60.26/60.40 inference(monotonicity,[status(thm)],[553])).
% 60.26/60.40 tff(555,plain,
% 60.26/60.40 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))), b), multiply(multiply(b, a), multiply(b, a))) = multiply(multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))), multiply(b, multiply(multiply(b, a), multiply(b, a)))))),
% 60.26/60.40 inference(quant_inst,[status(thm)],[])).
% 60.26/60.40 tff(556,plain,
% 60.26/60.40 (multiply(multiply(multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))), b), multiply(multiply(b, a), multiply(b, a))) = multiply(multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))), multiply(b, multiply(multiply(b, a), multiply(b, a))))),
% 60.26/60.40 inference(unit_resolution,[status(thm)],[555, 15])).
% 60.26/60.40 tff(557,plain,
% 60.26/60.40 (multiply(multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))), multiply(b, multiply(multiply(b, a), multiply(b, a)))) = multiply(multiply(multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))), b), multiply(multiply(b, a), multiply(b, a)))),
% 60.26/60.40 inference(symmetry,[status(thm)],[556])).
% 60.26/60.40 tff(558,plain,
% 60.26/60.40 (multiply(multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))), multiply(b, multiply(multiply(b, a), multiply(b, a)))) = multiply(multiply(a, multiply(a, multiply(b, multiply(b, multiply(b, b))))), multiply(multiply(multiply(a, a), b), multiply(b, b)))),
% 60.26/60.40 inference(transitivity,[status(thm)],[557, 554, 539, 526, 524, 380, 342, 339, 333, 330, 296, 51, 49, 34, 31])).
% 60.26/60.40 tff(559,plain,
% 60.26/60.40 ((~![Xk!0: $i, Xk!1: $i] : (inj_1(Xk!1, multiply(Xk!1, Xk!0)) = Xk!0)) | (inj_1(multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))), multiply(multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))), multiply(multiply(multiply(a, a), b), multiply(b, b)))) = multiply(multiply(multiply(a, a), b), multiply(b, b)))),
% 60.26/60.40 inference(quant_inst,[status(thm)],[])).
% 60.26/60.40 tff(560,plain,
% 60.26/60.40 (inj_1(multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))), multiply(multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))), multiply(multiply(multiply(a, a), b), multiply(b, b)))) = multiply(multiply(multiply(a, a), b), multiply(b, b))),
% 60.26/60.40 inference(unit_resolution,[status(thm)],[559, 57])).
% 60.26/60.40 tff(561,plain,
% 60.26/60.40 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, multiply(a, multiply(a, multiply(b, a)))), multiply(a, b)) = multiply(b, multiply(multiply(a, multiply(a, multiply(b, a))), multiply(a, b))))),
% 60.26/60.40 inference(quant_inst,[status(thm)],[])).
% 60.26/60.40 tff(562,plain,
% 60.26/60.40 (multiply(multiply(b, multiply(a, multiply(a, multiply(b, a)))), multiply(a, b)) = multiply(b, multiply(multiply(a, multiply(a, multiply(b, a))), multiply(a, b)))),
% 60.26/60.40 inference(unit_resolution,[status(thm)],[561, 15])).
% 60.26/60.40 tff(563,plain,
% 60.26/60.40 (multiply(b, multiply(multiply(a, multiply(a, multiply(b, a))), multiply(a, b))) = multiply(multiply(b, multiply(a, multiply(a, multiply(b, a)))), multiply(a, b))),
% 60.26/60.40 inference(symmetry,[status(thm)],[562])).
% 60.26/60.40 tff(564,plain,
% 60.26/60.40 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, a), b) = multiply(a, multiply(a, b)))),
% 60.26/60.40 inference(quant_inst,[status(thm)],[])).
% 60.26/60.40 tff(565,plain,
% 60.26/60.40 (multiply(multiply(a, a), b) = multiply(a, multiply(a, b))),
% 60.26/60.40 inference(unit_resolution,[status(thm)],[564, 15])).
% 60.26/60.40 tff(566,plain,
% 60.26/60.40 (multiply(a, multiply(a, b)) = multiply(multiply(a, a), b)),
% 60.26/60.40 inference(symmetry,[status(thm)],[565])).
% 60.26/60.40 tff(567,plain,
% 60.26/60.40 (multiply(multiply(multiply(a, a), b), multiply(a, multiply(a, b))) = multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))),
% 60.26/60.40 inference(monotonicity,[status(thm)],[566])).
% 60.26/60.40 tff(568,plain,
% 60.26/60.40 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(a, a), b), a), multiply(a, b)) = multiply(multiply(multiply(a, a), b), multiply(a, multiply(a, b))))),
% 60.26/60.40 inference(quant_inst,[status(thm)],[])).
% 60.26/60.40 tff(569,plain,
% 60.26/60.40 (multiply(multiply(multiply(multiply(a, a), b), a), multiply(a, b)) = multiply(multiply(multiply(a, a), b), multiply(a, multiply(a, b)))),
% 60.26/60.40 inference(unit_resolution,[status(thm)],[568, 15])).
% 60.26/60.40 tff(570,plain,
% 60.26/60.40 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(a, a), b), a) = multiply(multiply(a, a), multiply(b, a)))),
% 60.26/60.40 inference(quant_inst,[status(thm)],[])).
% 60.26/60.40 tff(571,plain,
% 60.26/60.40 (multiply(multiply(multiply(a, a), b), a) = multiply(multiply(a, a), multiply(b, a))),
% 60.26/60.40 inference(unit_resolution,[status(thm)],[570, 15])).
% 60.26/60.40 tff(572,plain,
% 60.26/60.40 (multiply(multiply(a, a), multiply(b, a)) = multiply(multiply(multiply(a, a), b), a)),
% 60.26/60.40 inference(symmetry,[status(thm)],[571])).
% 60.26/60.40 tff(573,plain,
% 60.26/60.40 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, a), multiply(b, a)) = multiply(a, multiply(a, multiply(b, a))))),
% 60.26/60.40 inference(quant_inst,[status(thm)],[])).
% 60.26/60.40 tff(574,plain,
% 60.26/60.40 (multiply(multiply(a, a), multiply(b, a)) = multiply(a, multiply(a, multiply(b, a)))),
% 60.26/60.40 inference(unit_resolution,[status(thm)],[573, 15])).
% 60.26/60.40 tff(575,plain,
% 60.26/60.40 (multiply(a, multiply(a, multiply(b, a))) = multiply(multiply(a, a), multiply(b, a))),
% 60.26/60.40 inference(symmetry,[status(thm)],[574])).
% 60.26/60.40 tff(576,plain,
% 60.26/60.40 (multiply(a, multiply(a, multiply(b, a))) = multiply(multiply(multiply(a, a), b), a)),
% 60.26/60.40 inference(transitivity,[status(thm)],[575, 572])).
% 60.26/60.40 tff(577,plain,
% 60.26/60.40 (multiply(multiply(a, multiply(a, multiply(b, a))), multiply(a, b)) = multiply(multiply(multiply(multiply(a, a), b), a), multiply(a, b))),
% 60.26/60.40 inference(monotonicity,[status(thm)],[576])).
% 60.26/60.40 tff(578,plain,
% 60.26/60.40 (multiply(multiply(a, multiply(a, multiply(b, a))), multiply(a, b)) = multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))),
% 60.26/60.40 inference(transitivity,[status(thm)],[577, 569, 567])).
% 60.26/60.40 tff(579,plain,
% 60.26/60.40 (multiply(b, multiply(multiply(a, multiply(a, multiply(b, a))), multiply(a, b))) = multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b)))),
% 60.26/60.40 inference(monotonicity,[status(thm)],[578])).
% 60.26/60.40 tff(580,plain,
% 60.26/60.40 (multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))) = multiply(b, multiply(multiply(a, multiply(a, multiply(b, a))), multiply(a, b)))),
% 60.26/60.40 inference(symmetry,[status(thm)],[579])).
% 60.26/60.40 tff(581,plain,
% 60.26/60.40 (multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))) = multiply(multiply(b, multiply(a, multiply(a, multiply(b, a)))), multiply(a, b))),
% 60.26/60.40 inference(transitivity,[status(thm)],[580, 563])).
% 60.26/60.40 tff(582,plain,
% 60.26/60.40 (multiply(multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))), multiply(multiply(multiply(a, a), b), multiply(b, b))) = multiply(multiply(multiply(b, multiply(a, multiply(a, multiply(b, a)))), multiply(a, b)), multiply(multiply(multiply(a, a), b), multiply(b, b)))),
% 60.26/60.40 inference(monotonicity,[status(thm)],[581])).
% 60.26/60.40 tff(583,plain,
% 60.26/60.40 (multiply(multiply(multiply(b, multiply(a, multiply(a, multiply(b, a)))), multiply(a, b)), multiply(multiply(multiply(a, a), b), multiply(b, b))) = multiply(multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))), multiply(multiply(multiply(a, a), b), multiply(b, b)))),
% 60.26/60.40 inference(symmetry,[status(thm)],[582])).
% 60.26/60.40 tff(584,plain,
% 60.26/60.40 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, multiply(a, multiply(a, multiply(b, a)))), multiply(a, b)), multiply(multiply(multiply(a, a), b), multiply(b, b))) = multiply(multiply(b, multiply(a, multiply(a, multiply(b, a)))), multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b)))))),
% 60.26/60.40 inference(quant_inst,[status(thm)],[])).
% 60.26/60.40 tff(585,plain,
% 60.26/60.40 (multiply(multiply(multiply(b, multiply(a, multiply(a, multiply(b, a)))), multiply(a, b)), multiply(multiply(multiply(a, a), b), multiply(b, b))) = multiply(multiply(b, multiply(a, multiply(a, multiply(b, a)))), multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b))))),
% 60.26/60.40 inference(unit_resolution,[status(thm)],[584, 15])).
% 60.26/60.40 tff(586,plain,
% 60.26/60.40 (multiply(multiply(b, multiply(a, multiply(a, multiply(b, a)))), multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b)))) = multiply(multiply(multiply(b, multiply(a, multiply(a, multiply(b, a)))), multiply(a, b)), multiply(multiply(multiply(a, a), b), multiply(b, b)))),
% 60.26/60.40 inference(symmetry,[status(thm)],[585])).
% 60.26/60.40 tff(587,plain,
% 60.26/60.40 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, a), multiply(a, multiply(b, a))) = multiply(b, multiply(a, multiply(a, multiply(b, a)))))),
% 60.26/60.40 inference(quant_inst,[status(thm)],[])).
% 60.26/60.40 tff(588,plain,
% 60.26/60.40 (multiply(multiply(b, a), multiply(a, multiply(b, a))) = multiply(b, multiply(a, multiply(a, multiply(b, a))))),
% 60.26/60.40 inference(unit_resolution,[status(thm)],[587, 15])).
% 60.26/60.40 tff(589,plain,
% 60.26/60.40 (multiply(b, multiply(a, multiply(a, multiply(b, a)))) = multiply(multiply(b, a), multiply(a, multiply(b, a)))),
% 60.26/60.40 inference(symmetry,[status(thm)],[588])).
% 60.26/60.40 tff(590,plain,
% 60.26/60.40 (multiply(multiply(b, multiply(a, multiply(a, multiply(b, a)))), multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b)))) = multiply(multiply(multiply(b, a), multiply(a, multiply(b, a))), multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b))))),
% 60.26/60.40 inference(monotonicity,[status(thm)],[589])).
% 60.26/60.40 tff(591,plain,
% 60.26/60.40 (multiply(multiply(multiply(b, a), multiply(a, multiply(b, a))), multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b)))) = multiply(multiply(b, multiply(a, multiply(a, multiply(b, a)))), multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b))))),
% 60.26/60.40 inference(symmetry,[status(thm)],[590])).
% 60.26/60.40 tff(592,plain,
% 60.26/60.40 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, b)) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))))),
% 60.26/60.40 inference(quant_inst,[status(thm)],[])).
% 60.26/60.40 tff(593,plain,
% 60.26/60.40 (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, b)) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))),
% 60.26/60.40 inference(unit_resolution,[status(thm)],[592, 15])).
% 60.26/60.40 tff(594,plain,
% 60.26/60.40 (multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, b))),
% 60.26/60.40 inference(symmetry,[status(thm)],[593])).
% 60.26/60.40 tff(595,plain,
% 60.26/60.40 (multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))), a) = multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, b)), a)),
% 60.26/60.40 inference(monotonicity,[status(thm)],[594])).
% 60.26/60.40 tff(596,plain,
% 60.26/60.40 (multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, b)), a) = multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))), a)),
% 60.26/60.40 inference(symmetry,[status(thm)],[595])).
% 60.26/60.40 tff(597,plain,
% 60.26/60.40 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, b)), a) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, b), a)))),
% 60.26/60.41 inference(quant_inst,[status(thm)],[])).
% 60.26/60.41 tff(598,plain,
% 60.26/60.41 (multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, b)), a) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, b), a))),
% 60.26/60.41 inference(unit_resolution,[status(thm)],[597, 15])).
% 60.26/60.41 tff(599,plain,
% 60.26/60.41 (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, b), a)) = multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, b)), a)),
% 60.26/60.41 inference(symmetry,[status(thm)],[598])).
% 60.26/60.41 tff(600,plain,
% 60.26/60.41 (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, b), a)) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(b, a)))),
% 60.26/60.41 inference(monotonicity,[status(thm)],[95])).
% 60.26/60.41 tff(601,plain,
% 60.26/60.41 (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(b, a))) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, b), a))),
% 60.26/60.41 inference(symmetry,[status(thm)],[600])).
% 60.26/60.41 tff(602,plain,
% 60.26/60.41 (multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(b, a)))),
% 60.26/60.41 inference(symmetry,[status(thm)],[476])).
% 60.26/60.41 tff(603,plain,
% 60.26/60.41 ((~![Xk!0: $i, Xk!1: $i] : (inj_1(Xk!1, multiply(Xk!1, Xk!0)) = Xk!0)) | (inj_1(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))),
% 60.26/60.41 inference(quant_inst,[status(thm)],[])).
% 60.26/60.41 tff(604,plain,
% 60.26/60.41 (inj_1(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))),
% 60.26/60.41 inference(unit_resolution,[status(thm)],[603, 57])).
% 60.26/60.41 tff(605,plain,
% 60.26/60.41 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)), multiply(b, b)) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), multiply(b, b))))),
% 60.26/60.41 inference(quant_inst,[status(thm)],[])).
% 60.26/60.41 tff(606,plain,
% 60.26/60.41 (multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)), multiply(b, b)) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, a), multiply(b, b)))),
% 60.26/60.41 inference(unit_resolution,[status(thm)],[605, 15])).
% 60.26/60.41 tff(607,plain,
% 60.26/60.41 (multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)), multiply(b, b)) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))))),
% 60.26/60.41 inference(transitivity,[status(thm)],[606, 507])).
% 60.26/60.41 tff(608,plain,
% 60.26/60.41 (multiply(a, multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)), multiply(b, b))) = multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))))),
% 60.26/60.41 inference(monotonicity,[status(thm)],[607])).
% 60.26/60.41 tff(609,plain,
% 60.26/60.41 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))), multiply(b, b)) = multiply(a, multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)), multiply(b, b))))),
% 60.26/60.41 inference(quant_inst,[status(thm)],[])).
% 60.26/60.41 tff(610,plain,
% 60.26/60.41 (multiply(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))), multiply(b, b)) = multiply(a, multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)), multiply(b, b)))),
% 60.26/60.41 inference(unit_resolution,[status(thm)],[609, 15])).
% 60.26/60.41 tff(611,plain,
% 60.26/60.41 ((~![Xk!0: $i, Xk!1: $i] : (inj_1(Xk!1, multiply(Xk!1, Xk!0)) = Xk!0)) | (inj_1(multiply(b, multiply(b, b)), multiply(multiply(b, multiply(b, b)), multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))))) = multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))))),
% 60.26/60.41 inference(quant_inst,[status(thm)],[])).
% 60.26/60.41 tff(612,plain,
% 60.26/60.41 (inj_1(multiply(b, multiply(b, b)), multiply(multiply(b, multiply(b, b)), multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))))) = multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))),
% 60.26/60.41 inference(unit_resolution,[status(thm)],[611, 57])).
% 60.26/60.41 tff(613,plain,
% 60.26/60.41 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, multiply(b, b)), a), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))) = multiply(multiply(b, multiply(b, b)), multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))))),
% 60.26/60.41 inference(quant_inst,[status(thm)],[])).
% 60.26/60.41 tff(614,plain,
% 60.26/60.41 (multiply(multiply(multiply(b, multiply(b, b)), a), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))) = multiply(multiply(b, multiply(b, b)), multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))))),
% 60.26/60.41 inference(unit_resolution,[status(thm)],[613, 15])).
% 60.26/60.41 tff(615,plain,
% 60.26/60.41 (multiply(multiply(multiply(b, multiply(b, b)), a), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))) = multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))),
% 60.26/60.41 inference(monotonicity,[status(thm)],[89])).
% 60.26/60.41 tff(616,plain,
% 60.26/60.41 (multiply(multiply(b, multiply(b, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))) = multiply(multiply(multiply(b, multiply(b, b)), a), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))),
% 60.26/60.41 inference(symmetry,[status(thm)],[615])).
% 60.26/60.41 tff(617,plain,
% 60.26/60.41 (multiply(b, multiply(multiply(multiply(a, a), b), b)) = multiply(b, multiply(multiply(a, a), multiply(b, b)))),
% 60.26/60.41 inference(monotonicity,[status(thm)],[41])).
% 60.26/60.41 tff(618,plain,
% 60.26/60.41 (multiply(b, multiply(b, multiply(multiply(multiply(a, a), b), b))) = multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b))))),
% 60.26/60.41 inference(monotonicity,[status(thm)],[617])).
% 60.26/60.41 tff(619,plain,
% 60.26/60.41 (multiply(b, multiply(b, multiply(b, multiply(multiply(multiply(a, a), b), b)))) = multiply(b, multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b)))))),
% 60.26/60.41 inference(monotonicity,[status(thm)],[618])).
% 60.26/60.41 tff(620,plain,
% 60.26/60.41 (multiply(b, multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b))))) = multiply(b, multiply(b, multiply(b, multiply(multiply(multiply(a, a), b), b))))),
% 60.26/60.41 inference(symmetry,[status(thm)],[619])).
% 60.26/60.41 tff(621,plain,
% 60.26/60.41 (multiply(multiply(multiply(a, a), b), multiply(b, multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b)))))) = multiply(multiply(multiply(a, a), b), multiply(b, multiply(b, multiply(b, multiply(multiply(multiply(a, a), b), b)))))),
% 60.26/60.41 inference(monotonicity,[status(thm)],[620])).
% 60.26/60.41 tff(622,plain,
% 60.26/60.41 (multiply(multiply(multiply(a, a), b), multiply(b, multiply(b, multiply(b, multiply(multiply(multiply(a, a), b), b))))) = multiply(multiply(multiply(a, a), b), multiply(b, multiply(b, multiply(b, multiply(multiply(a, a), multiply(b, b))))))),
% 60.26/60.41 inference(symmetry,[status(thm)],[621])).
% 60.26/60.41 tff(623,plain,
% 60.26/60.41 ((~![Y: $i, X: $i] : (multiply(X, multiply(Y, multiply(Y, multiply(Y, multiply(X, Y))))) = multiply(Y, multiply(Y, multiply(Y, multiply(Y, multiply(X, X))))))) | (multiply(multiply(multiply(a, a), b), multiply(b, multiply(b, multiply(b, multiply(multiply(multiply(a, a), b), b))))) = multiply(b, multiply(b, multiply(b, multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b)))))))),
% 60.26/60.41 inference(quant_inst,[status(thm)],[])).
% 60.26/60.41 tff(624,plain,
% 60.26/60.41 (multiply(multiply(multiply(a, a), b), multiply(b, multiply(b, multiply(b, multiply(multiply(multiply(a, a), b), b))))) = multiply(b, multiply(b, multiply(b, multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))))))),
% 60.26/60.41 inference(unit_resolution,[status(thm)],[623, 68])).
% 60.26/60.41 tff(625,plain,
% 60.26/60.41 (multiply(b, multiply(b, multiply(b, multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b)))))) = multiply(multiply(multiply(a, a), b), multiply(b, multiply(b, multiply(b, multiply(multiply(multiply(a, a), b), b)))))),
% 60.26/60.41 inference(symmetry,[status(thm)],[624])).
% 60.26/60.41 tff(626,plain,
% 60.26/60.41 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, b), multiply(b, multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))))) = multiply(b, multiply(b, multiply(b, multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b)))))))),
% 60.26/60.41 inference(quant_inst,[status(thm)],[])).
% 60.26/60.41 tff(627,plain,
% 60.26/60.41 (multiply(multiply(b, b), multiply(b, multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))))) = multiply(b, multiply(b, multiply(b, multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))))))),
% 60.26/60.41 inference(unit_resolution,[status(thm)],[626, 15])).
% 60.26/60.41 tff(628,plain,
% 60.26/60.41 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, b), b), multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b)))) = multiply(multiply(b, b), multiply(b, multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))))))),
% 60.26/60.41 inference(quant_inst,[status(thm)],[])).
% 60.26/60.41 tff(629,plain,
% 60.26/60.41 (multiply(multiply(multiply(b, b), b), multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b)))) = multiply(multiply(b, b), multiply(b, multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b)))))),
% 60.26/60.41 inference(unit_resolution,[status(thm)],[628, 15])).
% 60.26/60.41 tff(630,plain,
% 60.26/60.41 (multiply(multiply(b, multiply(b, b)), multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b)))) = multiply(multiply(multiply(b, b), b), multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))))),
% 60.26/60.41 inference(monotonicity,[status(thm)],[87])).
% 60.26/60.41 tff(631,plain,
% 60.26/60.41 (multiply(multiply(b, multiply(b, b)), multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b)))) = multiply(multiply(b, multiply(b, b)), multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))))),
% 60.26/60.41 inference(transitivity,[status(thm)],[630, 629, 627, 625, 622, 288, 285, 283, 281, 246, 244, 241, 59, 616, 614])).
% 60.26/60.41 tff(632,plain,
% 60.26/60.41 (inj_1(multiply(b, multiply(b, b)), multiply(multiply(b, multiply(b, b)), multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))))) = inj_1(multiply(b, multiply(b, b)), multiply(multiply(b, multiply(b, b)), multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))))),
% 60.26/60.41 inference(monotonicity,[status(thm)],[631])).
% 60.26/60.41 tff(633,plain,
% 60.26/60.41 ((~![Xk!0: $i, Xk!1: $i] : (inj_1(Xk!1, multiply(Xk!1, Xk!0)) = Xk!0)) | (inj_1(multiply(b, multiply(b, b)), multiply(multiply(b, multiply(b, b)), multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))))) = multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))))),
% 60.26/60.41 inference(quant_inst,[status(thm)],[])).
% 60.26/60.41 tff(634,plain,
% 60.26/60.41 (inj_1(multiply(b, multiply(b, b)), multiply(multiply(b, multiply(b, b)), multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))))) = multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b)))),
% 60.26/60.41 inference(unit_resolution,[status(thm)],[633, 57])).
% 60.26/60.41 tff(635,plain,
% 60.26/60.41 (multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))) = inj_1(multiply(b, multiply(b, b)), multiply(multiply(b, multiply(b, b)), multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b)))))),
% 60.26/60.41 inference(symmetry,[status(thm)],[634])).
% 60.26/60.41 tff(636,plain,
% 60.26/60.41 (multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))) = multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))),
% 60.26/60.41 inference(transitivity,[status(thm)],[635, 632, 612])).
% 60.26/60.41 tff(637,plain,
% 60.26/60.41 (multiply(multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))), multiply(b, b)) = multiply(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))), multiply(b, b))),
% 60.26/60.41 inference(monotonicity,[status(thm)],[636])).
% 60.26/60.41 tff(638,plain,
% 60.26/60.41 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))), multiply(b, b)) = multiply(b, multiply(multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b)), multiply(b, b))))),
% 60.26/60.41 inference(quant_inst,[status(thm)],[])).
% 60.26/60.41 tff(639,plain,
% 60.26/60.41 (multiply(multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))), multiply(b, b)) = multiply(b, multiply(multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b)), multiply(b, b)))),
% 60.26/60.41 inference(unit_resolution,[status(thm)],[638, 15])).
% 60.26/60.41 tff(640,plain,
% 60.26/60.41 (multiply(b, multiply(multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b)), multiply(b, b))) = multiply(multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))), multiply(b, b))),
% 60.26/60.41 inference(symmetry,[status(thm)],[639])).
% 60.26/60.41 tff(641,plain,
% 60.26/60.41 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b)), multiply(b, b)) = multiply(multiply(multiply(a, a), b), multiply(multiply(multiply(a, a), b), multiply(b, b))))),
% 60.26/60.41 inference(quant_inst,[status(thm)],[])).
% 60.26/60.41 tff(642,plain,
% 60.26/60.41 (multiply(multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b)), multiply(b, b)) = multiply(multiply(multiply(a, a), b), multiply(multiply(multiply(a, a), b), multiply(b, b)))),
% 60.26/60.41 inference(unit_resolution,[status(thm)],[641, 15])).
% 60.26/60.41 tff(643,plain,
% 60.26/60.41 (multiply(multiply(multiply(a, a), b), multiply(multiply(multiply(a, a), b), multiply(b, b))) = multiply(multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b)), multiply(b, b))),
% 60.26/60.41 inference(symmetry,[status(thm)],[642])).
% 60.26/60.41 tff(644,plain,
% 60.26/60.41 (multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(multiply(a, a), b), multiply(b, b)))) = multiply(b, multiply(multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b)), multiply(b, b)))),
% 60.26/60.41 inference(monotonicity,[status(thm)],[643])).
% 60.26/60.41 tff(645,plain,
% 60.26/60.41 (multiply(multiply(a, multiply(a, b)), multiply(multiply(multiply(a, a), b), multiply(b, b))) = multiply(multiply(multiply(a, a), b), multiply(multiply(multiply(a, a), b), multiply(b, b)))),
% 60.26/60.41 inference(monotonicity,[status(thm)],[566])).
% 60.26/60.41 tff(646,plain,
% 60.26/60.41 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, multiply(a, b)), multiply(multiply(multiply(a, a), b), multiply(b, b))) = multiply(a, multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b)))))),
% 60.26/60.41 inference(quant_inst,[status(thm)],[])).
% 60.26/60.41 tff(647,plain,
% 60.26/60.41 (multiply(multiply(a, multiply(a, b)), multiply(multiply(multiply(a, a), b), multiply(b, b))) = multiply(a, multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b))))),
% 60.26/60.41 inference(unit_resolution,[status(thm)],[646, 15])).
% 60.26/60.41 tff(648,plain,
% 60.26/60.41 (multiply(a, multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b)))) = multiply(multiply(a, multiply(a, b)), multiply(multiply(multiply(a, a), b), multiply(b, b)))),
% 60.26/60.41 inference(symmetry,[status(thm)],[647])).
% 60.26/60.41 tff(649,plain,
% 60.26/60.41 (multiply(a, multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b)))) = multiply(multiply(multiply(a, a), b), multiply(multiply(multiply(a, a), b), multiply(b, b)))),
% 60.26/60.41 inference(transitivity,[status(thm)],[648, 645])).
% 60.26/60.41 tff(650,plain,
% 60.26/60.41 (multiply(b, multiply(a, multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b))))) = multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(multiply(a, a), b), multiply(b, b))))),
% 60.26/60.41 inference(monotonicity,[status(thm)],[649])).
% 60.26/60.41 tff(651,plain,
% 60.26/60.41 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, a), multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b)))) = multiply(b, multiply(a, multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b))))))),
% 60.26/60.41 inference(quant_inst,[status(thm)],[])).
% 60.26/60.41 tff(652,plain,
% 60.26/60.41 (multiply(multiply(b, a), multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b)))) = multiply(b, multiply(a, multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b)))))),
% 60.26/60.41 inference(unit_resolution,[status(thm)],[651, 15])).
% 60.26/60.41 tff(653,plain,
% 60.26/60.41 (multiply(multiply(b, a), multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b)))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))),
% 60.26/60.41 inference(transitivity,[status(thm)],[652, 650, 644, 640, 637, 610, 608, 505, 502, 494])).
% 60.26/60.41 tff(654,plain,
% 60.26/60.41 (inj_1(multiply(b, a), multiply(multiply(b, a), multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b))))) = inj_1(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))),
% 60.26/60.41 inference(monotonicity,[status(thm)],[653])).
% 60.26/60.41 tff(655,plain,
% 60.26/60.41 ((~![Xk!0: $i, Xk!1: $i] : (inj_1(Xk!1, multiply(Xk!1, Xk!0)) = Xk!0)) | (inj_1(multiply(b, a), multiply(multiply(b, a), multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b))))) = multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b))))),
% 60.26/60.41 inference(quant_inst,[status(thm)],[])).
% 60.26/60.41 tff(656,plain,
% 60.26/60.41 (inj_1(multiply(b, a), multiply(multiply(b, a), multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b))))) = multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b)))),
% 60.26/60.41 inference(unit_resolution,[status(thm)],[655, 57])).
% 60.26/60.41 tff(657,plain,
% 60.26/60.41 (multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b))) = inj_1(multiply(b, a), multiply(multiply(b, a), multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b)))))),
% 60.26/60.41 inference(symmetry,[status(thm)],[656])).
% 60.26/60.41 tff(658,plain,
% 60.26/60.41 (multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b))) = multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))), a)),
% 60.26/60.41 inference(transitivity,[status(thm)],[657, 654, 604, 602, 601, 599, 596])).
% 60.26/60.41 tff(659,plain,
% 60.26/60.41 (multiply(multiply(multiply(b, a), multiply(a, multiply(b, a))), multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b)))) = multiply(multiply(multiply(b, a), multiply(a, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))), a))),
% 60.26/60.41 inference(monotonicity,[status(thm)],[658])).
% 60.26/60.41 tff(660,plain,
% 60.26/60.41 (multiply(multiply(multiply(b, a), multiply(a, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))), a)) = multiply(multiply(multiply(b, a), multiply(a, multiply(b, a))), multiply(multiply(a, b), multiply(multiply(multiply(a, a), b), multiply(b, b))))),
% 60.26/60.41 inference(symmetry,[status(thm)],[659])).
% 60.26/60.41 tff(661,plain,
% 60.26/60.41 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(b, a), multiply(a, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))), a) = multiply(multiply(multiply(b, a), multiply(a, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))), a)))),
% 60.26/60.41 inference(quant_inst,[status(thm)],[])).
% 60.26/60.41 tff(662,plain,
% 60.26/60.41 (multiply(multiply(multiply(multiply(b, a), multiply(a, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))), a) = multiply(multiply(multiply(b, a), multiply(a, multiply(b, a))), multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))), a))),
% 60.26/60.41 inference(unit_resolution,[status(thm)],[661, 15])).
% 60.26/60.41 tff(663,plain,
% 60.26/60.41 ((~![Xk!0: $i, Xk!1: $i] : (inj_1(Xk!1, multiply(Xk!1, Xk!0)) = Xk!0)) | (inj_1(b, multiply(b, multiply(a, multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b))))))))) = multiply(a, multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b))))))))),
% 60.26/60.42 inference(quant_inst,[status(thm)],[])).
% 60.26/60.42 tff(664,plain,
% 60.26/60.42 (inj_1(b, multiply(b, multiply(a, multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b))))))))) = multiply(a, multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b)))))))),
% 60.26/60.42 inference(unit_resolution,[status(thm)],[663, 57])).
% 60.26/60.42 tff(665,plain,
% 60.26/60.42 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, b), multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))) = multiply(b, multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))))))),
% 60.26/60.42 inference(quant_inst,[status(thm)],[])).
% 60.26/60.42 tff(666,plain,
% 60.26/60.42 (multiply(multiply(b, b), multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))) = multiply(b, multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))))),
% 60.26/60.42 inference(unit_resolution,[status(thm)],[665, 15])).
% 60.26/60.42 tff(667,plain,
% 60.26/60.42 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, b), a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))) = multiply(multiply(b, b), multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))))),
% 60.26/60.42 inference(quant_inst,[status(thm)],[])).
% 60.26/60.42 tff(668,plain,
% 60.26/60.42 (multiply(multiply(multiply(b, b), a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))) = multiply(multiply(b, b), multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))))),
% 60.26/60.42 inference(unit_resolution,[status(thm)],[667, 15])).
% 60.26/60.42 tff(669,plain,
% 60.26/60.42 (multiply(multiply(multiply(b, b), a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))) = multiply(multiply(b, multiply(b, a)), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))),
% 60.26/60.42 inference(monotonicity,[status(thm)],[95])).
% 60.26/60.42 tff(670,plain,
% 60.26/60.42 (multiply(multiply(b, multiply(b, a)), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))) = multiply(multiply(multiply(b, b), a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))),
% 60.26/60.42 inference(symmetry,[status(thm)],[669])).
% 60.26/60.42 tff(671,plain,
% 60.26/60.42 (multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))) = multiply(multiply(b, multiply(b, a)), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))),
% 60.26/60.42 inference(symmetry,[status(thm)],[492])).
% 60.26/60.42 tff(672,plain,
% 60.26/60.42 (multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a)))))) = multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))))),
% 60.26/60.42 inference(symmetry,[status(thm)],[490])).
% 60.26/60.42 tff(673,plain,
% 60.26/60.42 (inj_1(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), b))))))) = inj_1(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a))))))))),
% 60.26/60.42 inference(symmetry,[status(thm)],[471])).
% 60.26/60.42 tff(674,plain,
% 60.26/60.42 (multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), b))))) = inj_1(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), b)))))))),
% 60.26/60.42 inference(symmetry,[status(thm)],[464])).
% 60.26/60.42 tff(675,plain,
% 60.26/60.42 (multiply(multiply(b, a), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(multiply(b, a), b)))))),
% 60.26/60.42 inference(symmetry,[status(thm)],[462])).
% 60.26/60.42 tff(676,plain,
% 60.26/60.42 (multiply(b, multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))))) = multiply(multiply(b, a), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))))),
% 60.26/60.42 inference(symmetry,[status(thm)],[439])).
% 60.26/60.42 tff(677,plain,
% 60.26/60.42 (multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b)))))) = multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(a, b)))))),
% 60.26/60.42 inference(symmetry,[status(thm)],[421])).
% 60.26/60.42 tff(678,plain,
% 60.26/60.42 (multiply(a, multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b))))))) = multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b))))))),
% 60.26/60.42 inference(symmetry,[status(thm)],[416])).
% 60.26/60.42 tff(679,plain,
% 60.26/60.42 (multiply(a, multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b))))))) = multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(a, b)))))),
% 60.26/60.42 inference(transitivity,[status(thm)],[678, 677])).
% 60.26/60.42 tff(680,plain,
% 60.26/60.42 (multiply(b, multiply(a, multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b)))))))) = multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(multiply(a, b), b), multiply(a, b))))))),
% 60.26/60.42 inference(monotonicity,[status(thm)],[679])).
% 60.26/60.42 tff(681,plain,
% 60.26/60.42 (multiply(b, multiply(a, multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b)))))))) = multiply(b, multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))))),
% 60.26/60.42 inference(transitivity,[status(thm)],[680, 423, 676, 675, 674, 673, 473, 672, 671, 670, 668, 666])).
% 60.26/60.42 tff(682,plain,
% 60.26/60.42 (inj_1(b, multiply(b, multiply(a, multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b))))))))) = inj_1(b, multiply(b, multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))))))),
% 60.26/60.42 inference(monotonicity,[status(thm)],[681])).
% 60.26/60.42 tff(683,plain,
% 60.26/60.42 (inj_1(b, multiply(b, multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))))) = inj_1(b, multiply(b, multiply(a, multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, multiply(a, b)))))))))),
% 60.26/60.42 inference(symmetry,[status(thm)],[682])).
% 60.26/60.42 tff(684,plain,
% 60.26/60.42 ((~![Xk!0: $i, Xk!1: $i] : (inj_1(Xk!1, multiply(Xk!1, Xk!0)) = Xk!0)) | (inj_1(b, multiply(b, multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))))) = multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))))),
% 60.26/60.42 inference(quant_inst,[status(thm)],[])).
% 60.26/60.42 tff(685,plain,
% 60.26/60.42 (inj_1(b, multiply(b, multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))))) = multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))))),
% 60.26/60.42 inference(unit_resolution,[status(thm)],[684, 57])).
% 60.26/60.42 tff(686,plain,
% 60.26/60.42 (multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))) = inj_1(b, multiply(b, multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))))))),
% 60.26/60.42 inference(symmetry,[status(thm)],[685])).
% 60.26/60.42 tff(687,plain,
% 60.26/60.42 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))) = multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))))),
% 60.26/60.42 inference(quant_inst,[status(thm)],[])).
% 60.26/60.42 tff(688,plain,
% 60.26/60.42 (multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))) = multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))))),
% 60.26/60.42 inference(unit_resolution,[status(thm)],[687, 15])).
% 60.26/60.42 tff(689,plain,
% 60.26/60.42 (multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a))))),
% 60.26/60.42 inference(symmetry,[status(thm)],[487])).
% 60.26/60.42 tff(690,plain,
% 60.26/60.42 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, multiply(b, a)), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))) = multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))))))),
% 60.26/60.42 inference(quant_inst,[status(thm)],[])).
% 60.26/60.42 tff(691,plain,
% 60.26/60.42 (multiply(multiply(a, multiply(b, a)), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))) = multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))))),
% 60.26/60.42 inference(unit_resolution,[status(thm)],[690, 15])).
% 60.26/60.42 tff(692,plain,
% 60.26/60.42 (multiply(multiply(a, multiply(b, a)), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a))))),
% 60.26/60.42 inference(transitivity,[status(thm)],[691, 505, 502, 494, 689])).
% 60.26/60.42 tff(693,plain,
% 60.26/60.42 (multiply(multiply(b, a), multiply(multiply(a, multiply(b, a)), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(multiply(b, a), b), multiply(b, a)))))),
% 60.26/60.42 inference(monotonicity,[status(thm)],[692])).
% 60.26/60.42 tff(694,plain,
% 60.26/60.42 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, a), multiply(a, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))) = multiply(multiply(b, a), multiply(multiply(a, multiply(b, a)), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))))))),
% 60.26/60.42 inference(quant_inst,[status(thm)],[])).
% 60.26/60.42 tff(695,plain,
% 60.26/60.42 (multiply(multiply(multiply(b, a), multiply(a, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))) = multiply(multiply(b, a), multiply(multiply(a, multiply(b, a)), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))))),
% 60.26/60.42 inference(unit_resolution,[status(thm)],[694, 15])).
% 60.26/60.42 tff(696,plain,
% 60.26/60.42 (multiply(multiply(multiply(b, a), multiply(a, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))) = multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))))),
% 60.26/60.42 inference(transitivity,[status(thm)],[695, 693, 488, 688, 686, 683, 664, 414])).
% 60.26/60.42 tff(697,plain,
% 60.26/60.42 (multiply(multiply(multiply(multiply(b, a), multiply(a, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))), a) = multiply(multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))))), a)),
% 60.26/60.42 inference(monotonicity,[status(thm)],[696])).
% 60.26/60.42 tff(698,plain,
% 60.26/60.42 (multiply(multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))))), a) = multiply(multiply(multiply(multiply(b, a), multiply(a, multiply(b, a))), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))), a)),
% 60.26/60.42 inference(symmetry,[status(thm)],[697])).
% 60.26/60.42 tff(699,plain,
% 60.26/60.42 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))))), a) = multiply(a, multiply(multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))), a)))),
% 60.26/60.42 inference(quant_inst,[status(thm)],[])).
% 60.26/60.42 tff(700,plain,
% 60.26/60.42 (multiply(multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))))), a) = multiply(a, multiply(multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))), a))),
% 60.26/60.42 inference(unit_resolution,[status(thm)],[699, 15])).
% 60.26/60.42 tff(701,plain,
% 60.26/60.42 (multiply(a, multiply(multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))), a)) = multiply(multiply(a, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))))), a)),
% 60.26/60.42 inference(symmetry,[status(thm)],[700])).
% 60.26/60.42 tff(702,plain,
% 60.26/60.42 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), multiply(b, b)))), a) = multiply(a, multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), multiply(b, b))), a)))),
% 60.26/60.42 inference(quant_inst,[status(thm)],[])).
% 60.26/60.42 tff(703,plain,
% 60.26/60.42 (multiply(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), multiply(b, b)))), a) = multiply(a, multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), multiply(b, b))), a))),
% 60.26/60.42 inference(unit_resolution,[status(thm)],[702, 15])).
% 60.26/60.42 tff(704,plain,
% 60.26/60.42 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, multiply(a, b)), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))) = multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))))),
% 60.26/60.42 inference(quant_inst,[status(thm)],[])).
% 60.26/60.42 tff(705,plain,
% 60.26/60.42 (multiply(multiply(b, multiply(a, b)), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))) = multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))))),
% 60.26/60.42 inference(unit_resolution,[status(thm)],[704, 15])).
% 60.26/60.42 tff(706,plain,
% 60.26/60.42 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, multiply(a, b)), multiply(b, b)) = multiply(b, multiply(multiply(a, b), multiply(b, b))))),
% 60.26/60.42 inference(quant_inst,[status(thm)],[])).
% 60.26/60.42 tff(707,plain,
% 60.26/60.42 (multiply(multiply(b, multiply(a, b)), multiply(b, b)) = multiply(b, multiply(multiply(a, b), multiply(b, b)))),
% 60.26/60.42 inference(unit_resolution,[status(thm)],[706, 15])).
% 60.26/60.42 tff(708,plain,
% 60.26/60.42 (multiply(multiply(b, multiply(a, b)), multiply(b, b)) = multiply(multiply(multiply(b, a), b), multiply(b, b))),
% 60.26/60.42 inference(monotonicity,[status(thm)],[353])).
% 60.26/60.42 tff(709,plain,
% 60.26/60.42 (multiply(multiply(multiply(b, a), b), multiply(b, b)) = multiply(multiply(b, multiply(a, b)), multiply(b, b))),
% 60.26/60.42 inference(symmetry,[status(thm)],[708])).
% 60.26/60.42 tff(710,plain,
% 60.26/60.42 (multiply(multiply(multiply(b, a), b), multiply(b, b)) = multiply(b, multiply(multiply(a, b), multiply(b, b)))),
% 60.26/60.42 inference(transitivity,[status(thm)],[709, 707])).
% 60.26/60.42 tff(711,plain,
% 60.26/60.42 (multiply(a, multiply(multiply(multiply(b, a), b), multiply(b, b))) = multiply(a, multiply(b, multiply(multiply(a, b), multiply(b, b))))),
% 60.26/60.42 inference(monotonicity,[status(thm)],[710])).
% 60.26/60.42 tff(712,plain,
% 60.26/60.42 (multiply(a, multiply(b, multiply(multiply(a, b), multiply(b, b)))) = multiply(a, multiply(multiply(multiply(b, a), b), multiply(b, b)))),
% 60.26/60.42 inference(symmetry,[status(thm)],[711])).
% 60.26/60.42 tff(713,plain,
% 60.26/60.42 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))) = multiply(a, multiply(b, multiply(multiply(a, b), multiply(b, b)))))),
% 60.26/60.42 inference(quant_inst,[status(thm)],[])).
% 60.26/60.42 tff(714,plain,
% 60.26/60.42 (multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))) = multiply(a, multiply(b, multiply(multiply(a, b), multiply(b, b))))),
% 60.26/60.42 inference(unit_resolution,[status(thm)],[713, 15])).
% 60.26/60.42 tff(715,plain,
% 60.26/60.42 (multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))) = multiply(a, multiply(multiply(multiply(b, a), b), multiply(b, b)))),
% 60.26/60.42 inference(transitivity,[status(thm)],[714, 712])).
% 60.26/60.42 tff(716,plain,
% 60.26/60.42 (multiply(multiply(b, multiply(a, b)), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))) = multiply(multiply(multiply(b, a), b), multiply(a, multiply(multiply(multiply(b, a), b), multiply(b, b))))),
% 60.26/60.42 inference(monotonicity,[status(thm)],[353, 715])).
% 60.26/60.42 tff(717,plain,
% 60.26/60.42 (multiply(multiply(multiply(b, a), b), multiply(a, multiply(multiply(multiply(b, a), b), multiply(b, b)))) = multiply(multiply(b, multiply(a, b)), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))),
% 60.26/60.42 inference(symmetry,[status(thm)],[716])).
% 60.26/60.42 tff(718,plain,
% 60.26/60.42 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(b, a), b), a), multiply(multiply(multiply(b, a), b), multiply(b, b))) = multiply(multiply(multiply(b, a), b), multiply(a, multiply(multiply(multiply(b, a), b), multiply(b, b)))))),
% 60.26/60.42 inference(quant_inst,[status(thm)],[])).
% 60.26/60.42 tff(719,plain,
% 60.26/60.42 (multiply(multiply(multiply(multiply(b, a), b), a), multiply(multiply(multiply(b, a), b), multiply(b, b))) = multiply(multiply(multiply(b, a), b), multiply(a, multiply(multiply(multiply(b, a), b), multiply(b, b))))),
% 60.26/60.42 inference(unit_resolution,[status(thm)],[718, 15])).
% 60.26/60.42 tff(720,plain,
% 60.26/60.42 (multiply(multiply(multiply(multiply(b, a), b), a), multiply(multiply(multiply(b, a), b), multiply(b, b))) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), multiply(b, b)))),
% 60.26/60.43 inference(monotonicity,[status(thm)],[207])).
% 60.26/60.43 tff(721,plain,
% 60.26/60.43 (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), multiply(b, b))) = multiply(multiply(multiply(multiply(b, a), b), a), multiply(multiply(multiply(b, a), b), multiply(b, b)))),
% 60.26/60.43 inference(symmetry,[status(thm)],[720])).
% 60.26/60.43 tff(722,plain,
% 60.26/60.43 (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), multiply(b, b))) = multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))))),
% 60.26/60.43 inference(transitivity,[status(thm)],[721, 719, 717, 705])).
% 60.26/60.43 tff(723,plain,
% 60.26/60.43 (multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), multiply(b, b)))) = multiply(a, multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))))),
% 60.26/60.43 inference(monotonicity,[status(thm)],[722])).
% 60.26/60.43 tff(724,plain,
% 60.26/60.43 (multiply(a, multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))))) = multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), multiply(b, b))))),
% 60.26/60.43 inference(symmetry,[status(thm)],[723])).
% 60.26/60.43 tff(725,plain,
% 60.26/60.43 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))) = multiply(a, multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b)))))))),
% 60.26/60.43 inference(quant_inst,[status(thm)],[])).
% 60.26/60.43 tff(726,plain,
% 60.26/60.43 (multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))) = multiply(a, multiply(b, multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))))),
% 60.26/60.43 inference(unit_resolution,[status(thm)],[725, 15])).
% 60.26/60.43 tff(727,plain,
% 60.26/60.43 (multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))) = multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), multiply(b, b))))),
% 60.26/60.43 inference(transitivity,[status(thm)],[726, 724])).
% 60.26/60.43 tff(728,plain,
% 60.26/60.43 (multiply(multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))), a) = multiply(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), multiply(b, b)))), a)),
% 60.26/60.43 inference(monotonicity,[status(thm)],[727])).
% 60.26/60.43 tff(729,plain,
% 60.26/60.43 (multiply(multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))), a) = multiply(a, multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), multiply(b, b))), a))),
% 60.26/60.43 inference(transitivity,[status(thm)],[728, 703])).
% 60.26/60.43 tff(730,plain,
% 60.26/60.43 (multiply(a, multiply(multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))), a)) = multiply(a, multiply(a, multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), multiply(b, b))), a)))),
% 60.26/60.43 inference(monotonicity,[status(thm)],[729])).
% 60.26/60.43 tff(731,plain,
% 60.26/60.43 (multiply(a, multiply(a, multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), multiply(b, b))), a))) = multiply(a, multiply(multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(multiply(a, b), multiply(b, b))))), a))),
% 60.26/60.43 inference(symmetry,[status(thm)],[730])).
% 60.26/60.43 tff(732,plain,
% 60.26/60.43 (multiply(multiply(b, a), multiply(multiply(b, b), multiply(b, a))) = multiply(multiply(b, a), multiply(b, multiply(b, multiply(b, a))))),
% 60.26/60.43 inference(monotonicity,[status(thm)],[84])).
% 60.26/60.43 tff(733,plain,
% 60.26/60.43 (multiply(multiply(b, a), multiply(multiply(b, b), multiply(b, a))) = multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a)))))),
% 60.26/60.43 inference(transitivity,[status(thm)],[732, 549])).
% 60.26/60.43 tff(734,plain,
% 60.26/60.43 (multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, b), multiply(b, a)))) = multiply(multiply(b, a), multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))))),
% 60.26/60.43 inference(monotonicity,[status(thm)],[733])).
% 60.26/60.43 tff(735,plain,
% 60.26/60.43 (multiply(multiply(b, a), multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a)))))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, b), multiply(b, a))))),
% 60.26/60.43 inference(symmetry,[status(thm)],[734])).
% 60.26/60.43 tff(736,plain,
% 60.26/60.43 (multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, b), multiply(b, a)))))),
% 60.26/60.43 inference(monotonicity,[status(thm)],[735])).
% 60.26/60.43 tff(737,plain,
% 60.26/60.43 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a)))))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))))))),
% 60.26/60.43 inference(quant_inst,[status(thm)],[])).
% 60.26/60.43 tff(738,plain,
% 60.26/60.43 (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a)))))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a)))))))),
% 60.26/60.43 inference(unit_resolution,[status(thm)],[737, 15])).
% 60.26/60.43 tff(739,plain,
% 60.26/60.43 (multiply(multiply(multiply(b, a), b), multiply(multiply(b, b), a)) = multiply(multiply(multiply(b, a), b), multiply(b, multiply(b, a)))),
% 60.26/60.43 inference(monotonicity,[status(thm)],[95])).
% 60.26/60.43 tff(740,plain,
% 60.26/60.43 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(b, a), b), multiply(b, b)), a) = multiply(multiply(multiply(b, a), b), multiply(multiply(b, b), a)))),
% 60.26/60.43 inference(quant_inst,[status(thm)],[])).
% 60.26/60.43 tff(741,plain,
% 60.26/60.43 (multiply(multiply(multiply(multiply(b, a), b), multiply(b, b)), a) = multiply(multiply(multiply(b, a), b), multiply(multiply(b, b), a))),
% 60.26/60.43 inference(unit_resolution,[status(thm)],[740, 15])).
% 60.26/60.43 tff(742,plain,
% 60.26/60.43 (multiply(multiply(multiply(multiply(b, a), b), multiply(b, b)), a) = multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a)))))),
% 60.26/60.43 inference(transitivity,[status(thm)],[741, 739, 546, 549])).
% 60.26/60.43 tff(743,plain,
% 60.26/60.43 (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(multiply(b, a), b), multiply(b, b)), a)) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))))),
% 60.26/60.43 inference(monotonicity,[status(thm)],[742])).
% 60.26/60.43 tff(744,plain,
% 60.26/60.43 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), multiply(b, b))), a) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(multiply(b, a), b), multiply(b, b)), a)))),
% 60.26/60.43 inference(quant_inst,[status(thm)],[])).
% 60.26/60.43 tff(745,plain,
% 60.26/60.43 (multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), multiply(b, b))), a) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(multiply(b, a), b), multiply(b, b)), a))),
% 60.26/60.43 inference(unit_resolution,[status(thm)],[744, 15])).
% 60.26/60.43 tff(746,plain,
% 60.26/60.43 (multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), multiply(b, b))), a) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, b), multiply(b, a)))))),
% 60.26/60.43 inference(transitivity,[status(thm)],[745, 743, 738, 736])).
% 60.26/60.43 tff(747,plain,
% 60.26/60.43 (multiply(a, multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), multiply(b, b))), a)) = multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, b), multiply(b, a))))))),
% 60.26/60.43 inference(monotonicity,[status(thm)],[746])).
% 60.26/60.43 tff(748,plain,
% 60.26/60.43 (multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, b), multiply(b, a)))))) = multiply(a, multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), multiply(b, b))), a))),
% 60.26/60.43 inference(symmetry,[status(thm)],[747])).
% 60.26/60.43 tff(749,plain,
% 60.26/60.43 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, a), multiply(b, b)), multiply(b, a)) = multiply(multiply(b, a), multiply(multiply(b, b), multiply(b, a))))),
% 60.26/60.43 inference(quant_inst,[status(thm)],[])).
% 60.26/60.43 tff(750,plain,
% 60.26/60.43 (multiply(multiply(multiply(b, a), multiply(b, b)), multiply(b, a)) = multiply(multiply(b, a), multiply(multiply(b, b), multiply(b, a)))),
% 60.26/60.43 inference(unit_resolution,[status(thm)],[749, 15])).
% 60.26/60.43 tff(751,plain,
% 60.26/60.43 (multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(b, b)), multiply(b, a))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, b), multiply(b, a))))),
% 60.26/60.43 inference(monotonicity,[status(thm)],[750])).
% 60.26/60.43 tff(752,plain,
% 60.26/60.43 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))), multiply(b, a)) = multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(b, b)), multiply(b, a))))),
% 60.26/60.43 inference(quant_inst,[status(thm)],[])).
% 60.26/60.43 tff(753,plain,
% 60.26/60.43 (multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))), multiply(b, a)) = multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(b, b)), multiply(b, a)))),
% 60.26/60.43 inference(unit_resolution,[status(thm)],[752, 15])).
% 60.26/60.43 tff(754,plain,
% 60.26/60.43 (multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))), multiply(b, a)) = multiply(multiply(b, a), multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))))),
% 60.26/60.43 inference(transitivity,[status(thm)],[753, 751, 734])).
% 60.26/60.43 tff(755,plain,
% 60.26/60.43 (multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))), multiply(b, a))) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a)))))))),
% 60.26/60.43 inference(monotonicity,[status(thm)],[754])).
% 60.26/60.43 tff(756,plain,
% 60.26/60.43 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))), multiply(b, a)) = multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))), multiply(b, a))))),
% 60.26/60.43 inference(quant_inst,[status(thm)],[])).
% 60.26/60.43 tff(757,plain,
% 60.26/60.43 (multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))), multiply(b, a)) = multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))), multiply(b, a)))),
% 60.26/60.43 inference(unit_resolution,[status(thm)],[756, 15])).
% 60.26/60.43 tff(758,plain,
% 60.26/60.43 (multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))), multiply(b, a)) = multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, b), multiply(b, a)))))),
% 60.26/60.43 inference(transitivity,[status(thm)],[757, 755, 736])).
% 60.26/60.43 tff(759,plain,
% 60.26/60.43 (multiply(a, multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))), multiply(b, a))) = multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, b), multiply(b, a))))))),
% 60.26/60.43 inference(monotonicity,[status(thm)],[758])).
% 60.26/60.43 tff(760,plain,
% 60.26/60.43 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))))), multiply(b, a)) = multiply(a, multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))), multiply(b, a))))),
% 60.26/60.43 inference(quant_inst,[status(thm)],[])).
% 60.26/60.43 tff(761,plain,
% 60.26/60.43 (multiply(multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))))), multiply(b, a)) = multiply(a, multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))), multiply(b, a)))),
% 60.26/60.43 inference(unit_resolution,[status(thm)],[760, 15])).
% 60.26/60.43 tff(762,plain,
% 60.26/60.43 (inj_1(b, multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))))) = inj_1(b, multiply(b, multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))))))),
% 60.26/60.43 inference(symmetry,[status(thm)],[502])).
% 60.26/60.43 tff(763,plain,
% 60.26/60.43 (multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))) = inj_1(b, multiply(b, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))))))),
% 60.26/60.43 inference(symmetry,[status(thm)],[494])).
% 60.26/60.43 tff(764,plain,
% 60.26/60.43 (multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))) = multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b)))))),
% 60.26/60.43 inference(transitivity,[status(thm)],[763, 762, 504])).
% 60.26/60.43 tff(765,plain,
% 60.26/60.43 (multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))), multiply(b, a)) = multiply(multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, b))))), multiply(b, a))),
% 60.26/60.43 inference(monotonicity,[status(thm)],[764])).
% 60.26/60.43 tff(766,plain,
% 60.26/60.43 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))), multiply(b, a)) = multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))), multiply(b, a))))),
% 60.26/60.43 inference(quant_inst,[status(thm)],[])).
% 60.26/60.43 tff(767,plain,
% 60.26/60.43 (multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))), multiply(b, a)) = multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))), multiply(b, a)))),
% 60.26/60.43 inference(unit_resolution,[status(thm)],[766, 15])).
% 60.26/60.43 tff(768,plain,
% 60.26/60.43 (multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))), multiply(b, a))) = multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a))))), multiply(b, a))),
% 60.26/60.43 inference(symmetry,[status(thm)],[767])).
% 60.26/60.43 tff(769,plain,
% 60.26/60.43 (multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))), multiply(b, a)) = multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(b, a))), multiply(b, a))),
% 60.26/60.43 inference(monotonicity,[status(thm)],[602])).
% 60.26/60.43 tff(770,plain,
% 60.26/60.43 (multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(b, a))), multiply(b, a)) = multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))), multiply(b, a))),
% 60.26/60.43 inference(symmetry,[status(thm)],[769])).
% 60.26/60.43 tff(771,plain,
% 60.26/60.43 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(b, a))), multiply(b, a)) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, multiply(b, a)), multiply(b, a))))),
% 60.26/60.43 inference(quant_inst,[status(thm)],[])).
% 60.26/60.43 tff(772,plain,
% 60.26/60.43 (multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(b, a))), multiply(b, a)) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, multiply(b, a)), multiply(b, a)))),
% 60.26/60.43 inference(unit_resolution,[status(thm)],[771, 15])).
% 60.26/60.43 tff(773,plain,
% 60.26/60.43 (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, multiply(b, a)), multiply(b, a))) = multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(b, a))), multiply(b, a))),
% 60.26/60.43 inference(symmetry,[status(thm)],[772])).
% 60.26/60.43 tff(774,plain,
% 60.26/60.43 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(b, multiply(b, a)), multiply(b, a)) = multiply(b, multiply(multiply(b, a), multiply(b, a))))),
% 60.26/60.43 inference(quant_inst,[status(thm)],[])).
% 60.26/60.43 tff(775,plain,
% 60.26/60.43 (multiply(multiply(b, multiply(b, a)), multiply(b, a)) = multiply(b, multiply(multiply(b, a), multiply(b, a)))),
% 60.26/60.43 inference(unit_resolution,[status(thm)],[774, 15])).
% 60.26/60.43 tff(776,plain,
% 60.26/60.43 (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, multiply(b, a)), multiply(b, a))) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(multiply(b, a), multiply(b, a))))),
% 60.26/60.43 inference(monotonicity,[status(thm)],[775])).
% 60.26/60.43 tff(777,plain,
% 60.26/60.43 (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(multiply(b, a), multiply(b, a)))) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(b, multiply(b, a)), multiply(b, a)))),
% 60.26/60.43 inference(symmetry,[status(thm)],[776])).
% 60.26/60.43 tff(778,plain,
% 60.26/60.43 (multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(multiply(b, a), multiply(b, a)))) = multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))), multiply(b, a))),
% 60.26/60.43 inference(transitivity,[status(thm)],[777, 773, 770])).
% 60.26/60.43 tff(779,plain,
% 60.26/60.43 (multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(multiply(b, a), multiply(b, a))))) = multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, multiply(b, a)))), multiply(b, a)))),
% 60.26/60.43 inference(monotonicity,[status(thm)],[778])).
% 60.26/60.43 tff(780,plain,
% 60.26/60.43 (multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(multiply(b, a), multiply(b, a))))) = multiply(a, multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), multiply(b, b))), a))),
% 60.26/60.44 inference(transitivity,[status(thm)],[779, 768, 765, 761, 759, 748])).
% 60.26/60.44 tff(781,plain,
% 60.26/60.44 (multiply(a, multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(multiply(b, a), multiply(b, a)))))) = multiply(a, multiply(a, multiply(multiply(multiply(multiply(b, a), multiply(b, a)), multiply(multiply(multiply(b, a), b), multiply(b, b))), a)))),
% 60.26/60.44 inference(monotonicity,[status(thm)],[780])).
% 60.26/60.44 tff(782,plain,
% 60.26/60.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, multiply(b, a)), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(multiply(b, a), multiply(b, a))))) = multiply(a, multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(multiply(b, a), multiply(b, a)))))))),
% 60.26/60.44 inference(quant_inst,[status(thm)],[])).
% 60.26/60.44 tff(783,plain,
% 60.26/60.44 (multiply(multiply(a, multiply(b, a)), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(multiply(b, a), multiply(b, a))))) = multiply(a, multiply(multiply(b, a), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(multiply(b, a), multiply(b, a))))))),
% 60.26/60.44 inference(unit_resolution,[status(thm)],[782, 15])).
% 60.26/60.44 tff(784,plain,
% 60.26/60.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(multiply(a, multiply(b, a)), multiply(multiply(b, a), multiply(b, a))), multiply(b, multiply(multiply(b, a), multiply(b, a)))) = multiply(multiply(a, multiply(b, a)), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(multiply(b, a), multiply(b, a))))))),
% 60.26/60.44 inference(quant_inst,[status(thm)],[])).
% 60.26/60.44 tff(785,plain,
% 60.26/60.44 (multiply(multiply(multiply(a, multiply(b, a)), multiply(multiply(b, a), multiply(b, a))), multiply(b, multiply(multiply(b, a), multiply(b, a)))) = multiply(multiply(a, multiply(b, a)), multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, multiply(multiply(b, a), multiply(b, a)))))),
% 60.26/60.44 inference(unit_resolution,[status(thm)],[784, 15])).
% 60.26/60.44 tff(786,plain,
% 60.26/60.44 ((~![Z: $i, Y: $i, X: $i] : (multiply(multiply(X, Y), Z) = multiply(X, multiply(Y, Z)))) | (multiply(multiply(a, multiply(b, a)), multiply(multiply(b, a), multiply(b, a))) = multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a)))))),
% 60.26/60.44 inference(quant_inst,[status(thm)],[])).
% 60.26/60.44 tff(787,plain,
% 60.26/60.44 (multiply(multiply(a, multiply(b, a)), multiply(multiply(b, a), multiply(b, a))) = multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a))))),
% 60.26/60.44 inference(unit_resolution,[status(thm)],[786, 15])).
% 60.26/60.44 tff(788,plain,
% 60.26/60.44 (multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a)))) = multiply(multiply(a, multiply(b, a)), multiply(multiply(b, a), multiply(b, a)))),
% 60.26/60.44 inference(symmetry,[status(thm)],[787])).
% 60.26/60.44 tff(789,plain,
% 60.26/60.44 (multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a))) = multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))),
% 60.26/60.44 inference(symmetry,[status(thm)],[205])).
% 60.26/60.44 tff(790,plain,
% 60.26/60.44 (multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a)))) = multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))),
% 60.26/60.44 inference(monotonicity,[status(thm)],[789])).
% 60.26/60.44 tff(791,plain,
% 60.26/60.44 (multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))) = multiply(a, multiply(multiply(b, a), multiply(multiply(b, a), multiply(b, a))))),
% 60.26/60.44 inference(symmetry,[status(thm)],[790])).
% 60.26/60.44 tff(792,plain,
% 60.26/60.44 (multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))) = multiply(multiply(a, multiply(b, a)), multiply(multiply(b, a), multiply(b, a)))),
% 60.26/60.44 inference(transitivity,[status(thm)],[791, 788])).
% 60.26/60.44 tff(793,plain,
% 60.26/60.44 (multiply(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))), multiply(b, multiply(multiply(b, a), multiply(b, a)))) = multiply(multiply(multiply(a, multiply(b, a)), multiply(multiply(b, a), multiply(b, a))), multiply(b, multiply(multiply(b, a), multiply(b, a))))),
% 60.26/60.44 inference(monotonicity,[status(thm)],[792])).
% 60.26/60.44 tff(794,plain,
% 60.26/60.44 (multiply(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))), multiply(b, multiply(multiply(b, a), multiply(b, a)))) = multiply(multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))), multiply(multiply(multiply(a, a), b), multiply(b, b)))),
% 60.26/60.44 inference(transitivity,[status(thm)],[793, 785, 783, 781, 731, 701, 698, 662, 660, 591, 586, 583])).
% 60.26/60.44 tff(795,plain,
% 60.26/60.44 (inj_1(multiply(b, multiply(b, b)), multiply(multiply(b, multiply(b, b)), multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))))) = inj_1(multiply(b, multiply(b, b)), multiply(multiply(b, multiply(b, b)), multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b)))))),
% 60.26/60.44 inference(symmetry,[status(thm)],[632])).
% 60.26/60.44 tff(796,plain,
% 60.26/60.44 (multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))) = inj_1(multiply(b, multiply(b, b)), multiply(multiply(b, multiply(b, b)), multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a)))))),
% 60.26/60.44 inference(symmetry,[status(thm)],[612])).
% 60.26/60.44 tff(797,plain,
% 60.26/60.44 (multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))) = multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b)))),
% 60.26/60.44 inference(transitivity,[status(thm)],[796, 795, 634])).
% 60.26/60.44 tff(798,plain,
% 60.26/60.44 (inj_1(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))), multiply(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))), multiply(b, multiply(multiply(b, a), multiply(b, a))))) = inj_1(multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))), multiply(multiply(b, multiply(multiply(multiply(a, a), b), multiply(multiply(a, a), b))), multiply(multiply(multiply(a, a), b), multiply(b, b))))),
% 60.26/60.44 inference(monotonicity,[status(thm)],[797, 794])).
% 60.26/60.44 tff(799,plain,
% 60.26/60.44 ((~![Xk!0: $i, Xk!1: $i] : (inj_1(Xk!1, multiply(Xk!1, Xk!0)) = Xk!0)) | (inj_1(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))), multiply(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))), multiply(b, multiply(multiply(b, a), multiply(b, a))))) = multiply(b, multiply(multiply(b, a), multiply(b, a))))),
% 60.26/60.44 inference(quant_inst,[status(thm)],[])).
% 60.26/60.44 tff(800,plain,
% 60.26/60.44 (inj_1(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))), multiply(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))), multiply(b, multiply(multiply(b, a), multiply(b, a))))) = multiply(b, multiply(multiply(b, a), multiply(b, a)))),
% 60.26/60.44 inference(unit_resolution,[status(thm)],[799, 57])).
% 60.26/60.44 tff(801,plain,
% 60.26/60.44 (multiply(b, multiply(multiply(b, a), multiply(b, a))) = inj_1(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))), multiply(multiply(a, multiply(multiply(multiply(b, a), multiply(b, a)), multiply(b, a))), multiply(b, multiply(multiply(b, a), multiply(b, a)))))),
% 60.41/60.56 inference(symmetry,[status(thm)],[800])).
% 60.41/60.56 tff(802,plain,
% 60.41/60.56 (multiply(b, multiply(multiply(b, a), multiply(b, a))) = multiply(multiply(multiply(a, a), b), multiply(b, b))),
% 60.41/60.56 inference(transitivity,[status(thm)],[801, 798, 560])).
% 60.41/60.56 tff(803,plain,
% 60.41/60.56 (inj_0(multiply(b, multiply(multiply(b, a), multiply(b, a))), multiply(multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))), multiply(b, multiply(multiply(b, a), multiply(b, a))))) = inj_0(multiply(multiply(multiply(a, a), b), multiply(b, b)), multiply(multiply(a, multiply(a, multiply(b, multiply(b, multiply(b, b))))), multiply(multiply(multiply(a, a), b), multiply(b, b))))),
% 60.41/60.56 inference(monotonicity,[status(thm)],[802, 558])).
% 60.41/60.56 tff(804,plain,
% 60.41/60.56 ((~![Xk!0: $i, Xk!1: $i] : (inj_0(Xk!0, multiply(Xk!1, Xk!0)) = Xk!1)) | (inj_0(multiply(b, multiply(multiply(b, a), multiply(b, a))), multiply(multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))), multiply(b, multiply(multiply(b, a), multiply(b, a))))) = multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))))),
% 60.41/60.56 inference(quant_inst,[status(thm)],[])).
% 60.41/60.56 tff(805,plain,
% 60.41/60.56 (inj_0(multiply(b, multiply(multiply(b, a), multiply(b, a))), multiply(multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))), multiply(b, multiply(multiply(b, a), multiply(b, a))))) = multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a)))))),
% 60.41/60.56 inference(unit_resolution,[status(thm)],[804, 6])).
% 60.41/60.56 tff(806,plain,
% 60.41/60.56 (multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))) = inj_0(multiply(b, multiply(multiply(b, a), multiply(b, a))), multiply(multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))), multiply(b, multiply(multiply(b, a), multiply(b, a)))))),
% 60.41/60.56 inference(symmetry,[status(thm)],[805])).
% 60.41/60.56 tff(807,plain,
% 60.41/60.56 (multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))) = multiply(a, multiply(a, multiply(b, multiply(b, multiply(b, b)))))),
% 60.41/60.56 inference(transitivity,[status(thm)],[806, 803, 8])).
% 60.41/60.56 tff(808,plain,
% 60.41/60.56 ((~(multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))) = multiply(a, multiply(a, multiply(b, multiply(b, multiply(b, b))))))) <=> (~(multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))) = multiply(a, multiply(a, multiply(b, multiply(b, multiply(b, b)))))))),
% 60.41/60.56 inference(rewrite,[status(thm)],[])).
% 60.41/60.56 tff(809,axiom,(~(multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))) = multiply(a, multiply(a, multiply(b, multiply(b, multiply(b, b))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this')).
% 60.41/60.56 tff(810,plain,
% 60.41/60.56 (~(multiply(b, multiply(a, multiply(b, multiply(b, multiply(b, a))))) = multiply(a, multiply(a, multiply(b, multiply(b, multiply(b, b))))))),
% 60.41/60.56 inference(modus_ponens,[status(thm)],[809, 808])).
% 60.41/60.56 tff(811,plain,
% 60.41/60.56 ($false),
% 60.41/60.56 inference(unit_resolution,[status(thm)],[810, 807])).
% 60.41/60.56 % SZS output end Proof
% 60.41/60.57 % E exiting
%------------------------------------------------------------------------------