TSTP Solution File: BOO001-1 by Twee---2.5.0
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% File : Twee---2.5.0
% Problem : BOO001-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : parallel-twee /export/starexec/sandbox2/benchmark/theBenchmark.p --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding
% Computer : n006.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 : Mon Jun 24 04:38:16 EDT 2024
% Result : Unsatisfiable 0.14s 0.33s
% 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
% 0.00/0.09 % Problem : BOO001-1 : TPTP v8.2.0. Released v1.0.0.
% 0.00/0.09 % Command : parallel-twee /export/starexec/sandbox2/benchmark/theBenchmark.p --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding
% 0.08/0.29 % Computer : n006.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Tue Jun 18 19:36:53 EDT 2024
% 0.08/0.29 % CPUTime :
% 0.14/0.33 Command-line arguments: --no-flatten-goal
% 0.14/0.33
% 0.14/0.33 % SZS status Unsatisfiable
% 0.14/0.33
% 0.14/0.33 % SZS output start Proof
% 0.14/0.33 Axiom 1 (ternary_multiply_1): multiply(X, Y, Y) = Y.
% 0.14/0.33 Axiom 2 (right_inverse): multiply(X, Y, inverse(Y)) = X.
% 0.14/0.33 Axiom 3 (associativity): multiply(multiply(X, Y, Z), W, multiply(X, Y, V)) = multiply(X, Y, multiply(Z, W, V)).
% 0.14/0.33
% 0.14/0.33 Goal 1 (prove_inverse_is_self_cancelling): inverse(inverse(a)) = a.
% 0.14/0.33 Proof:
% 0.14/0.33 inverse(inverse(a))
% 0.14/0.33 = { by axiom 2 (right_inverse) R->L }
% 0.14/0.33 multiply(inverse(inverse(a)), a, inverse(a))
% 0.14/0.33 = { by axiom 1 (ternary_multiply_1) R->L }
% 0.14/0.33 multiply(inverse(inverse(a)), a, multiply(a, inverse(a), inverse(a)))
% 0.14/0.33 = { by axiom 3 (associativity) R->L }
% 0.14/0.33 multiply(multiply(inverse(inverse(a)), a, a), inverse(a), multiply(inverse(inverse(a)), a, inverse(a)))
% 0.14/0.33 = { by axiom 1 (ternary_multiply_1) }
% 0.14/0.33 multiply(a, inverse(a), multiply(inverse(inverse(a)), a, inverse(a)))
% 0.14/0.33 = { by axiom 2 (right_inverse) }
% 0.14/0.33 multiply(a, inverse(a), inverse(inverse(a)))
% 0.14/0.33 = { by axiom 2 (right_inverse) }
% 0.14/0.33 a
% 0.14/0.33 % SZS output end Proof
% 0.14/0.33
% 0.14/0.33 RESULT: Unsatisfiable (the axioms are contradictory).
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