TSTP Solution File: RNG011-5 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : RNG011-5 : TPTP v8.1.2. Released v1.0.0.
% 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 : n018.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 13:58:48 EDT 2023
% Result : Unsatisfiable 0.18s 0.40s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : RNG011-5 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.18/0.35 % Computer : n018.cluster.edu
% 0.18/0.35 % Model : x86_64 x86_64
% 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35 % Memory : 8042.1875MB
% 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35 % CPULimit : 300
% 0.18/0.35 % WCLimit : 300
% 0.18/0.35 % DateTime : Sun Aug 27 03:06:00 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.18/0.40 Command-line arguments: --no-flatten-goal
% 0.18/0.40
% 0.18/0.40 % SZS status Unsatisfiable
% 0.18/0.40
% 0.18/0.40 % SZS output start Proof
% 0.18/0.40 Axiom 1 (middle_associator): multiply(multiply(associator(X, X, Y), X), associator(X, X, Y)) = additive_identity.
% 0.18/0.40
% 0.18/0.40 Goal 1 (prove_equality): multiply(multiply(associator(a, a, b), a), associator(a, a, b)) = additive_identity.
% 0.18/0.40 Proof:
% 0.18/0.40 multiply(multiply(associator(a, a, b), a), associator(a, a, b))
% 0.18/0.40 = { by axiom 1 (middle_associator) }
% 0.18/0.40 additive_identity
% 0.18/0.40 % SZS output end Proof
% 0.18/0.40
% 0.18/0.40 RESULT: Unsatisfiable (the axioms are contradictory).
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