%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRP007-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.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 05:06:49 AM UTC 2025
% Result : Unsatisfiable 0.19s 0.43s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP007-1 : TPTP v9.0.0. Released v1.0.0.
% 0.04/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n004.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu Jun 19 15:27:23 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.19/0.43 % SZS status Unsatisfiable
% 0.19/0.43 % SZS output start Proof
% 0.19/0.43 tff(product_type, type, (
% 0.19/0.43 product: ( $i * $i * $i ) > $o)).
% 0.19/0.43 tff(c_type, type, (
% 0.19/0.43 c: $i)).
% 0.19/0.43 tff(identity_type, type, (
% 0.19/0.43 identity: $i)).
% 0.19/0.43 tff(elem_0_type, type, (
% 0.19/0.43 elem_0: $i)).
% 0.19/0.43 tff(inverse_type, type, (
% 0.19/0.43 inverse: $i > $i)).
% 0.19/0.43 tff(1,plain,
% 0.19/0.43 (^[X: $i] : refl(product(identity, X, X) <=> product(identity, X, X))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(2,plain,
% 0.19/0.43 (![X: $i] : product(identity, X, X) <=> ![X: $i] : product(identity, X, X)),
% 0.19/0.43 inference(quant_intro,[status(thm)],[1])).
% 0.19/0.43 tff(3,plain,
% 0.19/0.43 (![X: $i] : product(identity, X, X) <=> ![X: $i] : product(identity, X, X)),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(4,axiom,(![X: $i] : product(identity, X, X)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax','left_identity')).
% 0.19/0.43 tff(5,plain,
% 0.19/0.43 (![X: $i] : product(identity, X, X)),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.19/0.43 tff(6,plain,(
% 0.19/0.43 ![X: $i] : product(identity, X, X)),
% 0.19/0.43 inference(skolemize,[status(sab)],[5])).
% 0.19/0.43 tff(7,plain,
% 0.19/0.43 (![X: $i] : product(identity, X, X)),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.19/0.43 tff(8,plain,
% 0.19/0.43 ((~![X: $i] : product(identity, X, X)) | product(identity, c, c)),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(9,plain,
% 0.19/0.43 (product(identity, c, c)),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[8, 7])).
% 0.19/0.43 tff(10,plain,
% 0.19/0.43 (^[A: $i] : refl(product(A, c, A) <=> product(A, c, A))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(11,plain,
% 0.19/0.43 (![A: $i] : product(A, c, A) <=> ![A: $i] : product(A, c, A)),
% 0.19/0.43 inference(quant_intro,[status(thm)],[10])).
% 0.19/0.43 tff(12,plain,
% 0.19/0.43 (![A: $i] : product(A, c, A) <=> ![A: $i] : product(A, c, A)),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(13,axiom,(![A: $i] : product(A, c, A)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','another_right_identity')).
% 0.19/0.43 tff(14,plain,
% 0.19/0.43 (![A: $i] : product(A, c, A)),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.19/0.43 tff(15,plain,(
% 0.19/0.43 ![A: $i] : product(A, c, A)),
% 0.19/0.43 inference(skolemize,[status(sab)],[14])).
% 0.19/0.43 tff(16,plain,
% 0.19/0.43 (![A: $i] : product(A, c, A)),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[15, 11])).
% 0.19/0.43 tff(17,plain,
% 0.19/0.43 ((~![A: $i] : product(A, c, A)) | product(elem!0, c, elem!0)),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(18,plain,
% 0.19/0.43 (product(elem!0, c, elem!0)),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[17, 16])).
% 0.19/0.43 tff(19,plain,
% 0.19/0.43 (^[X: $i] : refl(product(inverse(X), X, identity) <=> product(inverse(X), X, identity))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(20,plain,
% 0.19/0.43 (![X: $i] : product(inverse(X), X, identity) <=> ![X: $i] : product(inverse(X), X, identity)),
% 0.19/0.43 inference(quant_intro,[status(thm)],[19])).
% 0.19/0.43 tff(21,plain,
% 0.19/0.43 (![X: $i] : product(inverse(X), X, identity) <=> ![X: $i] : product(inverse(X), X, identity)),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(22,axiom,(![X: $i] : product(inverse(X), X, identity)), file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax','left_inverse')).
% 0.19/0.43 tff(23,plain,
% 0.19/0.43 (![X: $i] : product(inverse(X), X, identity)),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.19/0.43 tff(24,plain,(
% 0.19/0.43 ![X: $i] : product(inverse(X), X, identity)),
% 0.19/0.43 inference(skolemize,[status(sab)],[23])).
% 0.19/0.43 tff(25,plain,
% 0.19/0.43 (![X: $i] : product(inverse(X), X, identity)),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[24, 20])).
% 0.19/0.43 tff(26,plain,
% 0.19/0.43 ((~![X: $i] : product(inverse(X), X, identity)) | product(inverse(elem!0), elem!0, identity)),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(27,plain,
% 0.19/0.43 (product(inverse(elem!0), elem!0, identity)),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[26, 25])).
% 0.19/0.43 tff(28,plain,
% 0.19/0.43 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : refl((product(U, Z, W) | (~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W))) <=> (product(U, Z, W) | (~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(29,plain,
% 0.19/0.43 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (product(U, Z, W) | (~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (product(U, Z, W) | (~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W)))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[28])).
% 0.19/0.43 tff(30,plain,
% 0.19/0.43 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (product(U, Z, W) | (~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W))) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (product(U, Z, W) | (~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(31,plain,
% 0.19/0.43 (^[W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : trans(monotonicity(rewrite((((~product(X, Y, U)) | (~product(Y, Z, V))) | (~product(X, V, W))) <=> ((~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W)))), (((((~product(X, Y, U)) | (~product(Y, Z, V))) | (~product(X, V, W))) | product(U, Z, W)) <=> (((~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W))) | product(U, Z, W)))), rewrite((((~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W))) | product(U, Z, W)) <=> (product(U, Z, W) | (~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W)))), (((((~product(X, Y, U)) | (~product(Y, Z, V))) | (~product(X, V, W))) | product(U, Z, W)) <=> (product(U, Z, W) | (~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W)))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(32,plain,
% 0.19/0.43 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((~product(X, Y, U)) | (~product(Y, Z, V))) | (~product(X, V, W))) | product(U, Z, W)) <=> ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (product(U, Z, W) | (~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W)))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[31])).
% 0.19/0.43 tff(33,axiom,(![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : ((((~product(X, Y, U)) | (~product(Y, Z, V))) | (~product(X, V, W))) | product(U, Z, W))), file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax','associativity2')).
% 0.19/0.43 tff(34,plain,
% 0.19/0.43 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (product(U, Z, W) | (~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.19/0.43 tff(35,plain,
% 0.19/0.43 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (product(U, Z, W) | (~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[34, 30])).
% 0.19/0.43 tff(36,plain,(
% 0.19/0.43 ![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (product(U, Z, W) | (~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W)))),
% 0.19/0.43 inference(skolemize,[status(sab)],[35])).
% 0.19/0.43 tff(37,plain,
% 0.19/0.43 (![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (product(U, Z, W) | (~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[36, 29])).
% 0.19/0.43 tff(38,plain,
% 0.19/0.43 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (product(U, Z, W) | (~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W)))) | ((~product(inverse(elem!0), elem!0, identity)) | (~product(elem!0, c, elem!0)) | product(identity, c, identity))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (product(U, Z, W) | (~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W)))) | (~product(inverse(elem!0), elem!0, identity)) | (~product(elem!0, c, elem!0)) | product(identity, c, identity))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(39,plain,
% 0.19/0.43 ((product(identity, c, identity) | (~product(elem!0, c, elem!0)) | (~product(inverse(elem!0), elem!0, identity)) | (~product(inverse(elem!0), elem!0, identity))) <=> ((~product(inverse(elem!0), elem!0, identity)) | (~product(elem!0, c, elem!0)) | product(identity, c, identity))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(40,plain,
% 0.19/0.43 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (product(U, Z, W) | (~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W)))) | (product(identity, c, identity) | (~product(elem!0, c, elem!0)) | (~product(inverse(elem!0), elem!0, identity)) | (~product(inverse(elem!0), elem!0, identity)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (product(U, Z, W) | (~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W)))) | ((~product(inverse(elem!0), elem!0, identity)) | (~product(elem!0, c, elem!0)) | product(identity, c, identity)))),
% 0.19/0.43 inference(monotonicity,[status(thm)],[39])).
% 0.19/0.43 tff(41,plain,
% 0.19/0.43 (((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (product(U, Z, W) | (~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W)))) | (product(identity, c, identity) | (~product(elem!0, c, elem!0)) | (~product(inverse(elem!0), elem!0, identity)) | (~product(inverse(elem!0), elem!0, identity)))) <=> ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (product(U, Z, W) | (~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W)))) | (~product(inverse(elem!0), elem!0, identity)) | (~product(elem!0, c, elem!0)) | product(identity, c, identity))),
% 0.19/0.43 inference(transitivity,[status(thm)],[40, 38])).
% 0.19/0.43 tff(42,plain,
% 0.19/0.43 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (product(U, Z, W) | (~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W)))) | (product(identity, c, identity) | (~product(elem!0, c, elem!0)) | (~product(inverse(elem!0), elem!0, identity)) | (~product(inverse(elem!0), elem!0, identity)))),
% 0.19/0.43 inference(quant_inst,[status(thm)],[])).
% 0.19/0.43 tff(43,plain,
% 0.19/0.43 ((~![W: $i, V: $i, Z: $i, Y: $i, U: $i, X: $i] : (product(U, Z, W) | (~product(Y, Z, V)) | (~product(X, Y, U)) | (~product(X, V, W)))) | (~product(inverse(elem!0), elem!0, identity)) | (~product(elem!0, c, elem!0)) | product(identity, c, identity)),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[42, 41])).
% 0.19/0.43 tff(44,plain,
% 0.19/0.43 (product(identity, c, identity)),
% 0.19/0.43 inference(unit_resolution,[status(thm)],[43, 37, 27, 18])).
% 0.19/0.43 tff(45,plain,
% 0.19/0.43 ((~(identity = c)) <=> (~(identity = c))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(46,axiom,(~(identity = c)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_identity_equals_c')).
% 0.19/0.43 tff(47,plain,
% 0.19/0.43 (~(identity = c)),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.19/0.43 tff(48,plain,
% 0.19/0.43 (^[W: $i, Z: $i, Y: $i, X: $i] : refl(((Z = W) | (~product(X, Y, W)) | (~product(X, Y, Z))) <=> ((Z = W) | (~product(X, Y, W)) | (~product(X, Y, Z))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(49,plain,
% 0.19/0.43 (![W: $i, Z: $i, Y: $i, X: $i] : ((Z = W) | (~product(X, Y, W)) | (~product(X, Y, Z))) <=> ![W: $i, Z: $i, Y: $i, X: $i] : ((Z = W) | (~product(X, Y, W)) | (~product(X, Y, Z)))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[48])).
% 0.19/0.43 tff(50,plain,
% 0.19/0.43 (![W: $i, Z: $i, Y: $i, X: $i] : ((Z = W) | (~product(X, Y, W)) | (~product(X, Y, Z))) <=> ![W: $i, Z: $i, Y: $i, X: $i] : ((Z = W) | (~product(X, Y, W)) | (~product(X, Y, Z)))),
% 0.19/0.43 inference(rewrite,[status(thm)],[])).
% 0.19/0.43 tff(51,plain,
% 0.19/0.43 (^[W: $i, Z: $i, Y: $i, X: $i] : rewrite((((~product(X, Y, Z)) | (~product(X, Y, W))) | (Z = W)) <=> ((Z = W) | (~product(X, Y, W)) | (~product(X, Y, Z))))),
% 0.19/0.43 inference(bind,[status(th)],[])).
% 0.19/0.43 tff(52,plain,
% 0.19/0.43 (![W: $i, Z: $i, Y: $i, X: $i] : (((~product(X, Y, Z)) | (~product(X, Y, W))) | (Z = W)) <=> ![W: $i, Z: $i, Y: $i, X: $i] : ((Z = W) | (~product(X, Y, W)) | (~product(X, Y, Z)))),
% 0.19/0.43 inference(quant_intro,[status(thm)],[51])).
% 0.19/0.43 tff(53,axiom,(![W: $i, Z: $i, Y: $i, X: $i] : (((~product(X, Y, Z)) | (~product(X, Y, W))) | (Z = W))), file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax','total_function2')).
% 0.19/0.43 tff(54,plain,
% 0.19/0.43 (![W: $i, Z: $i, Y: $i, X: $i] : ((Z = W) | (~product(X, Y, W)) | (~product(X, Y, Z)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[53, 52])).
% 0.19/0.43 tff(55,plain,
% 0.19/0.43 (![W: $i, Z: $i, Y: $i, X: $i] : ((Z = W) | (~product(X, Y, W)) | (~product(X, Y, Z)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[54, 50])).
% 0.19/0.43 tff(56,plain,(
% 0.19/0.43 ![W: $i, Z: $i, Y: $i, X: $i] : ((Z = W) | (~product(X, Y, W)) | (~product(X, Y, Z)))),
% 0.19/0.43 inference(skolemize,[status(sab)],[55])).
% 0.19/0.43 tff(57,plain,
% 0.19/0.43 (![W: $i, Z: $i, Y: $i, X: $i] : ((Z = W) | (~product(X, Y, W)) | (~product(X, Y, Z)))),
% 0.19/0.43 inference(modus_ponens,[status(thm)],[56, 49])).
% 0.19/0.43 tff(58,plain,
% 0.19/0.43 (((~![W: $i, Z: $i, Y: $i, X: $i] : ((Z = W) | (~product(X, Y, W)) | (~product(X, Y, Z)))) | ((identity = c) | (~product(identity, c, identity)) | (~product(identity, c, c)))) <=> ((~![W: $i, Z: $i, Y: $i, X: $i] : ((Z = W) | (~product(X, Y, W)) | (~product(X, Y, Z)))) | (identity = c) | (~product(identity, c, identity)) | (~product(identity, c, c)))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(59,plain,
% 0.19/0.44 (((identity = c) | (~product(identity, c, c)) | (~product(identity, c, identity))) <=> ((identity = c) | (~product(identity, c, identity)) | (~product(identity, c, c)))),
% 0.19/0.44 inference(rewrite,[status(thm)],[])).
% 0.19/0.44 tff(60,plain,
% 0.19/0.44 (((~![W: $i, Z: $i, Y: $i, X: $i] : ((Z = W) | (~product(X, Y, W)) | (~product(X, Y, Z)))) | ((identity = c) | (~product(identity, c, c)) | (~product(identity, c, identity)))) <=> ((~![W: $i, Z: $i, Y: $i, X: $i] : ((Z = W) | (~product(X, Y, W)) | (~product(X, Y, Z)))) | ((identity = c) | (~product(identity, c, identity)) | (~product(identity, c, c))))),
% 0.19/0.44 inference(monotonicity,[status(thm)],[59])).
% 0.19/0.44 tff(61,plain,
% 0.19/0.44 (((~![W: $i, Z: $i, Y: $i, X: $i] : ((Z = W) | (~product(X, Y, W)) | (~product(X, Y, Z)))) | ((identity = c) | (~product(identity, c, c)) | (~product(identity, c, identity)))) <=> ((~![W: $i, Z: $i, Y: $i, X: $i] : ((Z = W) | (~product(X, Y, W)) | (~product(X, Y, Z)))) | (identity = c) | (~product(identity, c, identity)) | (~product(identity, c, c)))),
% 0.19/0.44 inference(transitivity,[status(thm)],[60, 58])).
% 0.19/0.44 tff(62,plain,
% 0.19/0.44 ((~![W: $i, Z: $i, Y: $i, X: $i] : ((Z = W) | (~product(X, Y, W)) | (~product(X, Y, Z)))) | ((identity = c) | (~product(identity, c, c)) | (~product(identity, c, identity)))),
% 0.19/0.44 inference(quant_inst,[status(thm)],[])).
% 0.19/0.44 tff(63,plain,
% 0.19/0.44 ((~![W: $i, Z: $i, Y: $i, X: $i] : ((Z = W) | (~product(X, Y, W)) | (~product(X, Y, Z)))) | (identity = c) | (~product(identity, c, identity)) | (~product(identity, c, c))),
% 0.19/0.44 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.19/0.44 tff(64,plain,
% 0.19/0.44 ($false),
% 0.19/0.44 inference(unit_resolution,[status(thm)],[63, 57, 47, 44, 9])).
% 0.19/0.44 % SZS output end Proof
% 0.19/0.44 % E exiting
%------------------------------------------------------------------------------