%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : KLE052+1 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n012.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 05:12:57 AM UTC 2025
% Result : Theorem 0.49s 0.65s
% Output : Proof 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE052+1 : TPTP v9.0.0. Released v4.0.0.
% 0.08/0.13 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Jun 19 18:55:41 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.49/0.65 % SZS status Theorem
% 0.49/0.65 % SZS output start Proof
% 0.49/0.65 tff(tptp_fun_X0_0_type, type, (
% 0.49/0.65 tptp_fun_X0_0: $i)).
% 0.49/0.65 tff(multiplication_type, type, (
% 0.49/0.65 multiplication: ( $i * $i ) > $i)).
% 0.49/0.65 tff(domain_type, type, (
% 0.49/0.65 domain: $i > $i)).
% 0.49/0.65 tff(one_type, type, (
% 0.49/0.65 one: $i)).
% 0.49/0.65 tff(addition_type, type, (
% 0.49/0.65 addition: ( $i * $i ) > $i)).
% 0.49/0.65 tff(1,plain,
% 0.49/0.65 (^[A: $i] : refl((multiplication(one, A) = A) <=> (multiplication(one, A) = A))),
% 0.49/0.65 inference(bind,[status(th)],[])).
% 0.49/0.65 tff(2,plain,
% 0.49/0.65 (![A: $i] : (multiplication(one, A) = A) <=> ![A: $i] : (multiplication(one, A) = A)),
% 0.49/0.65 inference(quant_intro,[status(thm)],[1])).
% 0.49/0.65 tff(3,plain,
% 0.49/0.65 (![A: $i] : (multiplication(one, A) = A) <=> ![A: $i] : (multiplication(one, A) = A)),
% 0.49/0.65 inference(rewrite,[status(thm)],[])).
% 0.49/0.65 tff(4,axiom,(![A: $i] : (multiplication(one, A) = A)), file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax','multiplicative_left_identity')).
% 0.49/0.65 tff(5,plain,
% 0.49/0.65 (![A: $i] : (multiplication(one, A) = A)),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.49/0.65 tff(6,plain,(
% 0.49/0.65 ![A: $i] : (multiplication(one, A) = A)),
% 0.49/0.65 inference(skolemize,[status(sab)],[5])).
% 0.49/0.65 tff(7,plain,
% 0.49/0.65 (![A: $i] : (multiplication(one, A) = A)),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.49/0.65 tff(8,plain,
% 0.49/0.65 ((~![A: $i] : (multiplication(one, A) = A)) | (multiplication(one, X0!0) = X0!0)),
% 0.49/0.65 inference(quant_inst,[status(thm)],[])).
% 0.49/0.65 tff(9,plain,
% 0.49/0.65 (multiplication(one, X0!0) = X0!0),
% 0.49/0.65 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.49/0.65 tff(10,plain,
% 0.49/0.65 (^[A: $i, B: $i] : refl((addition(A, B) = addition(B, A)) <=> (addition(A, B) = addition(B, A)))),
% 0.49/0.65 inference(bind,[status(th)],[])).
% 0.49/0.65 tff(11,plain,
% 0.49/0.65 (![A: $i, B: $i] : (addition(A, B) = addition(B, A)) <=> ![A: $i, B: $i] : (addition(A, B) = addition(B, A))),
% 0.49/0.65 inference(quant_intro,[status(thm)],[10])).
% 0.49/0.65 tff(12,plain,
% 0.49/0.65 (![A: $i, B: $i] : (addition(A, B) = addition(B, A)) <=> ![A: $i, B: $i] : (addition(A, B) = addition(B, A))),
% 0.49/0.65 inference(rewrite,[status(thm)],[])).
% 0.49/0.65 tff(13,axiom,(![A: $i, B: $i] : (addition(A, B) = addition(B, A))), file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax','additive_commutativity')).
% 0.49/0.65 tff(14,plain,
% 0.49/0.65 (![A: $i, B: $i] : (addition(A, B) = addition(B, A))),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.49/0.65 tff(15,plain,(
% 0.49/0.65 ![A: $i, B: $i] : (addition(A, B) = addition(B, A))),
% 0.49/0.65 inference(skolemize,[status(sab)],[14])).
% 0.49/0.65 tff(16,plain,
% 0.49/0.65 (![A: $i, B: $i] : (addition(A, B) = addition(B, A))),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[15, 11])).
% 0.49/0.65 tff(17,plain,
% 0.49/0.65 ((~![A: $i, B: $i] : (addition(A, B) = addition(B, A))) | (addition(addition(domain(X0!0), domain(X0!0)), one) = addition(one, addition(domain(X0!0), domain(X0!0))))),
% 0.49/0.65 inference(quant_inst,[status(thm)],[])).
% 0.49/0.65 tff(18,plain,
% 0.49/0.65 (addition(addition(domain(X0!0), domain(X0!0)), one) = addition(one, addition(domain(X0!0), domain(X0!0)))),
% 0.49/0.65 inference(unit_resolution,[status(thm)],[17, 16])).
% 0.49/0.65 tff(19,plain,
% 0.49/0.65 (^[C: $i, B: $i, A: $i] : refl((addition(A, addition(B, C)) = addition(addition(A, B), C)) <=> (addition(A, addition(B, C)) = addition(addition(A, B), C)))),
% 0.49/0.65 inference(bind,[status(th)],[])).
% 0.49/0.65 tff(20,plain,
% 0.49/0.65 (![C: $i, B: $i, A: $i] : (addition(A, addition(B, C)) = addition(addition(A, B), C)) <=> ![C: $i, B: $i, A: $i] : (addition(A, addition(B, C)) = addition(addition(A, B), C))),
% 0.49/0.65 inference(quant_intro,[status(thm)],[19])).
% 0.49/0.65 tff(21,plain,
% 0.49/0.65 (![C: $i, B: $i, A: $i] : (addition(A, addition(B, C)) = addition(addition(A, B), C)) <=> ![C: $i, B: $i, A: $i] : (addition(A, addition(B, C)) = addition(addition(A, B), C))),
% 0.49/0.65 inference(rewrite,[status(thm)],[])).
% 0.49/0.65 tff(22,axiom,(![C: $i, B: $i, A: $i] : (addition(A, addition(B, C)) = addition(addition(A, B), C))), file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax','additive_associativity')).
% 0.49/0.65 tff(23,plain,
% 0.49/0.65 (![C: $i, B: $i, A: $i] : (addition(A, addition(B, C)) = addition(addition(A, B), C))),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.49/0.65 tff(24,plain,(
% 0.49/0.65 ![C: $i, B: $i, A: $i] : (addition(A, addition(B, C)) = addition(addition(A, B), C))),
% 0.49/0.65 inference(skolemize,[status(sab)],[23])).
% 0.49/0.65 tff(25,plain,
% 0.49/0.65 (![C: $i, B: $i, A: $i] : (addition(A, addition(B, C)) = addition(addition(A, B), C))),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[24, 20])).
% 0.49/0.65 tff(26,plain,
% 0.49/0.65 ((~![C: $i, B: $i, A: $i] : (addition(A, addition(B, C)) = addition(addition(A, B), C))) | (addition(domain(X0!0), addition(domain(X0!0), one)) = addition(addition(domain(X0!0), domain(X0!0)), one))),
% 0.49/0.65 inference(quant_inst,[status(thm)],[])).
% 0.49/0.65 tff(27,plain,
% 0.49/0.65 (addition(domain(X0!0), addition(domain(X0!0), one)) = addition(addition(domain(X0!0), domain(X0!0)), one)),
% 0.49/0.65 inference(unit_resolution,[status(thm)],[26, 25])).
% 0.49/0.65 tff(28,plain,
% 0.49/0.65 (^[X0: $i] : refl((addition(domain(X0), one) = one) <=> (addition(domain(X0), one) = one))),
% 0.49/0.65 inference(bind,[status(th)],[])).
% 0.49/0.65 tff(29,plain,
% 0.49/0.65 (![X0: $i] : (addition(domain(X0), one) = one) <=> ![X0: $i] : (addition(domain(X0), one) = one)),
% 0.49/0.65 inference(quant_intro,[status(thm)],[28])).
% 0.49/0.65 tff(30,plain,
% 0.49/0.65 (![X0: $i] : (addition(domain(X0), one) = one) <=> ![X0: $i] : (addition(domain(X0), one) = one)),
% 0.49/0.65 inference(rewrite,[status(thm)],[])).
% 0.49/0.65 tff(31,axiom,(![X0: $i] : (addition(domain(X0), one) = one)), file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax','domain3')).
% 0.49/0.65 tff(32,plain,
% 0.49/0.65 (![X0: $i] : (addition(domain(X0), one) = one)),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.49/0.65 tff(33,plain,(
% 0.49/0.65 ![X0: $i] : (addition(domain(X0), one) = one)),
% 0.49/0.65 inference(skolemize,[status(sab)],[32])).
% 0.49/0.65 tff(34,plain,
% 0.49/0.65 (![X0: $i] : (addition(domain(X0), one) = one)),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[33, 29])).
% 0.49/0.65 tff(35,plain,
% 0.49/0.65 ((~![X0: $i] : (addition(domain(X0), one) = one)) | (addition(domain(X0!0), one) = one)),
% 0.49/0.65 inference(quant_inst,[status(thm)],[])).
% 0.49/0.65 tff(36,plain,
% 0.49/0.65 (addition(domain(X0!0), one) = one),
% 0.49/0.65 inference(unit_resolution,[status(thm)],[35, 34])).
% 0.49/0.65 tff(37,plain,
% 0.49/0.65 (addition(domain(X0!0), addition(domain(X0!0), one)) = addition(domain(X0!0), one)),
% 0.49/0.65 inference(monotonicity,[status(thm)],[36])).
% 0.49/0.65 tff(38,plain,
% 0.49/0.65 (addition(domain(X0!0), one) = addition(domain(X0!0), addition(domain(X0!0), one))),
% 0.49/0.65 inference(symmetry,[status(thm)],[37])).
% 0.49/0.65 tff(39,plain,
% 0.49/0.65 (one = addition(domain(X0!0), one)),
% 0.49/0.65 inference(symmetry,[status(thm)],[36])).
% 0.49/0.65 tff(40,plain,
% 0.49/0.65 (one = addition(one, addition(domain(X0!0), domain(X0!0)))),
% 0.49/0.65 inference(transitivity,[status(thm)],[39, 38, 27, 18])).
% 0.49/0.65 tff(41,plain,
% 0.49/0.65 (multiplication(one, X0!0) = multiplication(addition(one, addition(domain(X0!0), domain(X0!0))), X0!0)),
% 0.49/0.65 inference(monotonicity,[status(thm)],[40])).
% 0.49/0.65 tff(42,plain,
% 0.49/0.65 (multiplication(addition(one, addition(domain(X0!0), domain(X0!0))), X0!0) = multiplication(one, X0!0)),
% 0.49/0.65 inference(symmetry,[status(thm)],[41])).
% 0.49/0.65 tff(43,plain,
% 0.49/0.65 (^[A: $i, B: $i, C: $i] : refl((multiplication(addition(A, B), C) = addition(multiplication(A, C), multiplication(B, C))) <=> (multiplication(addition(A, B), C) = addition(multiplication(A, C), multiplication(B, C))))),
% 0.49/0.65 inference(bind,[status(th)],[])).
% 0.49/0.65 tff(44,plain,
% 0.49/0.65 (![A: $i, B: $i, C: $i] : (multiplication(addition(A, B), C) = addition(multiplication(A, C), multiplication(B, C))) <=> ![A: $i, B: $i, C: $i] : (multiplication(addition(A, B), C) = addition(multiplication(A, C), multiplication(B, C)))),
% 0.49/0.65 inference(quant_intro,[status(thm)],[43])).
% 0.49/0.65 tff(45,plain,
% 0.49/0.65 (![A: $i, B: $i, C: $i] : (multiplication(addition(A, B), C) = addition(multiplication(A, C), multiplication(B, C))) <=> ![A: $i, B: $i, C: $i] : (multiplication(addition(A, B), C) = addition(multiplication(A, C), multiplication(B, C)))),
% 0.49/0.65 inference(rewrite,[status(thm)],[])).
% 0.49/0.65 tff(46,axiom,(![A: $i, B: $i, C: $i] : (multiplication(addition(A, B), C) = addition(multiplication(A, C), multiplication(B, C)))), file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax','left_distributivity')).
% 0.49/0.65 tff(47,plain,
% 0.49/0.65 (![A: $i, B: $i, C: $i] : (multiplication(addition(A, B), C) = addition(multiplication(A, C), multiplication(B, C)))),
% 0.49/0.65 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.49/0.65 tff(48,plain,(
% 0.49/0.65 ![A: $i, B: $i, C: $i] : (multiplication(addition(A, B), C) = addition(multiplication(A, C), multiplication(B, C)))),
% 0.49/0.66 inference(skolemize,[status(sab)],[47])).
% 0.49/0.66 tff(49,plain,
% 0.49/0.66 (![A: $i, B: $i, C: $i] : (multiplication(addition(A, B), C) = addition(multiplication(A, C), multiplication(B, C)))),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[48, 44])).
% 0.49/0.66 tff(50,plain,
% 0.49/0.66 ((~![A: $i, B: $i, C: $i] : (multiplication(addition(A, B), C) = addition(multiplication(A, C), multiplication(B, C)))) | (multiplication(addition(one, addition(domain(X0!0), domain(X0!0))), X0!0) = addition(multiplication(one, X0!0), multiplication(addition(domain(X0!0), domain(X0!0)), X0!0)))),
% 0.49/0.66 inference(quant_inst,[status(thm)],[])).
% 0.49/0.66 tff(51,plain,
% 0.49/0.66 (multiplication(addition(one, addition(domain(X0!0), domain(X0!0))), X0!0) = addition(multiplication(one, X0!0), multiplication(addition(domain(X0!0), domain(X0!0)), X0!0))),
% 0.49/0.66 inference(unit_resolution,[status(thm)],[50, 49])).
% 0.49/0.66 tff(52,plain,
% 0.49/0.66 (addition(multiplication(one, X0!0), multiplication(addition(domain(X0!0), domain(X0!0)), X0!0)) = multiplication(addition(one, addition(domain(X0!0), domain(X0!0))), X0!0)),
% 0.49/0.66 inference(symmetry,[status(thm)],[51])).
% 0.49/0.66 tff(53,plain,
% 0.49/0.66 (^[A: $i] : refl((addition(A, A) = A) <=> (addition(A, A) = A))),
% 0.49/0.66 inference(bind,[status(th)],[])).
% 0.49/0.66 tff(54,plain,
% 0.49/0.66 (![A: $i] : (addition(A, A) = A) <=> ![A: $i] : (addition(A, A) = A)),
% 0.49/0.66 inference(quant_intro,[status(thm)],[53])).
% 0.49/0.66 tff(55,plain,
% 0.49/0.66 (![A: $i] : (addition(A, A) = A) <=> ![A: $i] : (addition(A, A) = A)),
% 0.49/0.66 inference(rewrite,[status(thm)],[])).
% 0.49/0.66 tff(56,axiom,(![A: $i] : (addition(A, A) = A)), file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax','additive_idempotence')).
% 0.49/0.66 tff(57,plain,
% 0.49/0.66 (![A: $i] : (addition(A, A) = A)),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[56, 55])).
% 0.49/0.66 tff(58,plain,(
% 0.49/0.66 ![A: $i] : (addition(A, A) = A)),
% 0.49/0.66 inference(skolemize,[status(sab)],[57])).
% 0.49/0.66 tff(59,plain,
% 0.49/0.66 (![A: $i] : (addition(A, A) = A)),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[58, 54])).
% 0.49/0.66 tff(60,plain,
% 0.49/0.66 ((~![A: $i] : (addition(A, A) = A)) | (addition(domain(X0!0), domain(X0!0)) = domain(X0!0))),
% 0.49/0.66 inference(quant_inst,[status(thm)],[])).
% 0.49/0.66 tff(61,plain,
% 0.49/0.66 (addition(domain(X0!0), domain(X0!0)) = domain(X0!0)),
% 0.49/0.66 inference(unit_resolution,[status(thm)],[60, 59])).
% 0.49/0.66 tff(62,plain,
% 0.49/0.66 (multiplication(addition(domain(X0!0), domain(X0!0)), X0!0) = multiplication(domain(X0!0), X0!0)),
% 0.49/0.66 inference(monotonicity,[status(thm)],[61])).
% 0.49/0.66 tff(63,plain,
% 0.49/0.66 (addition(multiplication(one, X0!0), multiplication(addition(domain(X0!0), domain(X0!0)), X0!0)) = addition(X0!0, multiplication(domain(X0!0), X0!0))),
% 0.49/0.66 inference(monotonicity,[status(thm)],[9, 62])).
% 0.49/0.66 tff(64,plain,
% 0.49/0.66 (addition(X0!0, multiplication(domain(X0!0), X0!0)) = addition(multiplication(one, X0!0), multiplication(addition(domain(X0!0), domain(X0!0)), X0!0))),
% 0.49/0.66 inference(symmetry,[status(thm)],[63])).
% 0.49/0.66 tff(65,plain,
% 0.49/0.66 (^[X0: $i] : refl((addition(X0, multiplication(domain(X0), X0)) = multiplication(domain(X0), X0)) <=> (addition(X0, multiplication(domain(X0), X0)) = multiplication(domain(X0), X0)))),
% 0.49/0.66 inference(bind,[status(th)],[])).
% 0.49/0.66 tff(66,plain,
% 0.49/0.66 (![X0: $i] : (addition(X0, multiplication(domain(X0), X0)) = multiplication(domain(X0), X0)) <=> ![X0: $i] : (addition(X0, multiplication(domain(X0), X0)) = multiplication(domain(X0), X0))),
% 0.49/0.66 inference(quant_intro,[status(thm)],[65])).
% 0.49/0.66 tff(67,plain,
% 0.49/0.66 (![X0: $i] : (addition(X0, multiplication(domain(X0), X0)) = multiplication(domain(X0), X0)) <=> ![X0: $i] : (addition(X0, multiplication(domain(X0), X0)) = multiplication(domain(X0), X0))),
% 0.49/0.66 inference(rewrite,[status(thm)],[])).
% 0.49/0.66 tff(68,axiom,(![X0: $i] : (addition(X0, multiplication(domain(X0), X0)) = multiplication(domain(X0), X0))), file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax','domain1')).
% 0.49/0.66 tff(69,plain,
% 0.49/0.66 (![X0: $i] : (addition(X0, multiplication(domain(X0), X0)) = multiplication(domain(X0), X0))),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.49/0.66 tff(70,plain,(
% 0.49/0.66 ![X0: $i] : (addition(X0, multiplication(domain(X0), X0)) = multiplication(domain(X0), X0))),
% 0.49/0.66 inference(skolemize,[status(sab)],[69])).
% 0.49/0.66 tff(71,plain,
% 0.49/0.66 (![X0: $i] : (addition(X0, multiplication(domain(X0), X0)) = multiplication(domain(X0), X0))),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[70, 66])).
% 0.49/0.66 tff(72,plain,
% 0.49/0.66 ((~![X0: $i] : (addition(X0, multiplication(domain(X0), X0)) = multiplication(domain(X0), X0))) | (addition(X0!0, multiplication(domain(X0!0), X0!0)) = multiplication(domain(X0!0), X0!0))),
% 0.49/0.66 inference(quant_inst,[status(thm)],[])).
% 0.49/0.66 tff(73,plain,
% 0.49/0.66 (addition(X0!0, multiplication(domain(X0!0), X0!0)) = multiplication(domain(X0!0), X0!0)),
% 0.49/0.66 inference(unit_resolution,[status(thm)],[72, 71])).
% 0.49/0.66 tff(74,plain,
% 0.49/0.66 (multiplication(domain(X0!0), X0!0) = addition(X0!0, multiplication(domain(X0!0), X0!0))),
% 0.49/0.66 inference(symmetry,[status(thm)],[73])).
% 0.49/0.66 tff(75,plain,
% 0.49/0.66 (multiplication(domain(X0!0), X0!0) = X0!0),
% 0.49/0.66 inference(transitivity,[status(thm)],[74, 64, 52, 42, 9])).
% 0.49/0.66 tff(76,plain,
% 0.49/0.66 ((~![X0: $i] : (multiplication(domain(X0), X0) = X0)) <=> (~![X0: $i] : (multiplication(domain(X0), X0) = X0))),
% 0.49/0.66 inference(rewrite,[status(thm)],[])).
% 0.49/0.66 tff(77,axiom,(~![X0: $i] : (multiplication(domain(X0), X0) = X0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','goals')).
% 0.49/0.66 tff(78,plain,
% 0.49/0.66 (~![X0: $i] : (multiplication(domain(X0), X0) = X0)),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[77, 76])).
% 0.49/0.66 tff(79,plain,
% 0.49/0.66 (~![X0: $i] : (multiplication(domain(X0), X0) = X0)),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[78, 76])).
% 0.49/0.66 tff(80,plain,
% 0.49/0.66 (~![X0: $i] : (multiplication(domain(X0), X0) = X0)),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[79, 76])).
% 0.49/0.66 tff(81,plain,
% 0.49/0.66 (~![X0: $i] : (multiplication(domain(X0), X0) = X0)),
% 0.49/0.66 inference(modus_ponens,[status(thm)],[80, 76])).
% 0.49/0.66 tff(82,plain,(
% 0.49/0.66 ~(multiplication(domain(X0!0), X0!0) = X0!0)),
% 0.49/0.66 inference(skolemize,[status(sab)],[81])).
% 0.49/0.66 tff(83,plain,
% 0.49/0.66 ($false),
% 0.49/0.66 inference(unit_resolution,[status(thm)],[82, 75])).
% 0.49/0.66 % SZS output end Proof
% 0.49/0.66 % E exiting
%------------------------------------------------------------------------------