TSTP Solution File: BOO018-4 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : BOO018-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 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 : n024.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 : Wed Aug 30 18:11:27 EDT 2023
% Result : Unsatisfiable 0.14s 0.39s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : BOO018-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.07/0.14 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 08:27:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.39 Command-line arguments: --no-flatten-goal
% 0.14/0.39
% 0.14/0.39 % SZS status Unsatisfiable
% 0.14/0.39
% 0.14/0.39 % SZS output start Proof
% 0.14/0.39 Axiom 1 (commutativity_of_multiply): multiply(X, Y) = multiply(Y, X).
% 0.14/0.39 Axiom 2 (multiplicative_id1): multiply(X, multiplicative_identity) = X.
% 0.14/0.39 Axiom 3 (multiplicative_inverse1): multiply(X, inverse(X)) = additive_identity.
% 0.14/0.39
% 0.14/0.39 Goal 1 (prove_inverse_of_1_is_0): inverse(multiplicative_identity) = additive_identity.
% 0.14/0.39 Proof:
% 0.14/0.39 inverse(multiplicative_identity)
% 0.14/0.39 = { by axiom 2 (multiplicative_id1) R->L }
% 0.14/0.39 multiply(inverse(multiplicative_identity), multiplicative_identity)
% 0.14/0.39 = { by axiom 1 (commutativity_of_multiply) }
% 0.14/0.39 multiply(multiplicative_identity, inverse(multiplicative_identity))
% 0.14/0.39 = { by axiom 3 (multiplicative_inverse1) }
% 0.14/0.39 additive_identity
% 0.14/0.39 % SZS output end Proof
% 0.14/0.39
% 0.14/0.39 RESULT: Unsatisfiable (the axioms are contradictory).
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