TSTP Solution File: GRP679-1 by Twee---2.4.2
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%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : GRP679-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% Computer : n023.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 : Thu Aug 31 01:19:40 EDT 2023
% Result : Unsatisfiable 0.19s 0.39s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP679-1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 23:27:40 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.39 Command-line arguments: --no-flatten-goal
% 0.19/0.39
% 0.19/0.39 % SZS status Unsatisfiable
% 0.19/0.39
% 0.19/0.39 % SZS output start Proof
% 0.19/0.39 Axiom 1 (c06): mult(unit, X) = X.
% 0.19/0.39 Axiom 2 (c08): mult(op_c, X) = mult(X, op_c).
% 0.19/0.39 Axiom 3 (c02): ld(X, mult(X, Y)) = Y.
% 0.19/0.39 Axiom 4 (c07): mult(X, mult(Y, mult(X, Z))) = mult(mult(X, mult(Y, X)), Z).
% 0.19/0.39
% 0.19/0.39 Goal 1 (goals): mult(mult(op_c, op_c), a) = mult(a, mult(op_c, op_c)).
% 0.19/0.39 Proof:
% 0.19/0.39 mult(mult(op_c, op_c), a)
% 0.19/0.39 = { by axiom 1 (c06) R->L }
% 0.19/0.39 mult(mult(op_c, mult(unit, op_c)), a)
% 0.19/0.39 = { by axiom 4 (c07) R->L }
% 0.19/0.39 mult(op_c, mult(unit, mult(op_c, a)))
% 0.19/0.39 = { by axiom 1 (c06) }
% 0.19/0.39 mult(op_c, mult(op_c, a))
% 0.19/0.39 = { by axiom 3 (c02) R->L }
% 0.19/0.39 ld(op_c, mult(op_c, mult(op_c, mult(op_c, a))))
% 0.19/0.39 = { by axiom 2 (c08) }
% 0.19/0.39 ld(op_c, mult(mult(op_c, mult(op_c, a)), op_c))
% 0.19/0.39 = { by axiom 2 (c08) }
% 0.19/0.39 ld(op_c, mult(mult(op_c, mult(a, op_c)), op_c))
% 0.19/0.39 = { by axiom 4 (c07) R->L }
% 0.19/0.39 ld(op_c, mult(op_c, mult(a, mult(op_c, op_c))))
% 0.19/0.39 = { by axiom 3 (c02) }
% 0.19/0.39 mult(a, mult(op_c, op_c))
% 0.19/0.39 % SZS output end Proof
% 0.19/0.39
% 0.19/0.39 RESULT: Unsatisfiable (the axioms are contradictory).
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