TSTP Solution File: GRP699-1 by Twee---2.5.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.5.0
% Problem : GRP699-1 : TPTP v8.2.0. Released v4.0.0.
% 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 : n017.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 07:13:29 EDT 2024
% Result : Unsatisfiable 0.18s 0.43s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP699-1 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.12 % Command : parallel-twee /export/starexec/sandbox2/benchmark/theBenchmark.p --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding
% 0.11/0.32 % Computer : n017.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % 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 20 12:41:09 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.18/0.43 Command-line arguments: --set-join --lhs-weight 1 --no-flatten-goal --complete-subsets --goal-heuristic
% 0.18/0.43
% 0.18/0.43 % SZS status Unsatisfiable
% 0.18/0.43
% 0.18/0.44 % SZS output start Proof
% 0.18/0.44 Axiom 1 (c06): mult(unit, X) = X.
% 0.18/0.44 Axiom 2 (c02): ld(X, mult(X, Y)) = Y.
% 0.18/0.44 Axiom 3 (c01): mult(X, ld(X, Y)) = Y.
% 0.18/0.44 Axiom 4 (c08): mult(mult(X, Y), mult(Y, mult(Z, Y))) = mult(mult(X, mult(Y, mult(Y, Z))), Y).
% 0.18/0.44
% 0.18/0.44 Goal 1 (goals): mult(mult(a, b), c) = mult(mult(a, c), ld(c, mult(b, c))).
% 0.18/0.44 Proof:
% 0.18/0.44 mult(mult(a, b), c)
% 0.18/0.44 = { by axiom 2 (c02) R->L }
% 0.18/0.44 mult(mult(a, b), ld(mult(a, mult(c, mult(c, ld(c, ld(c, b))))), mult(mult(a, mult(c, mult(c, ld(c, ld(c, b))))), c)))
% 0.18/0.44 = { by axiom 4 (c08) R->L }
% 0.18/0.44 mult(mult(a, b), ld(mult(a, mult(c, mult(c, ld(c, ld(c, b))))), mult(mult(a, c), mult(c, mult(ld(c, ld(c, b)), c)))))
% 0.18/0.44 = { by axiom 3 (c01) }
% 0.18/0.44 mult(mult(a, b), ld(mult(a, mult(c, ld(c, b))), mult(mult(a, c), mult(c, mult(ld(c, ld(c, b)), c)))))
% 0.18/0.44 = { by axiom 2 (c02) R->L }
% 0.18/0.44 mult(mult(a, b), ld(mult(a, mult(c, ld(c, b))), mult(mult(a, c), ld(c, mult(c, mult(c, mult(ld(c, ld(c, b)), c)))))))
% 0.18/0.44 = { by axiom 1 (c06) R->L }
% 0.18/0.44 mult(mult(a, b), ld(mult(a, mult(c, ld(c, b))), mult(mult(a, c), ld(c, mult(mult(unit, c), mult(c, mult(ld(c, ld(c, b)), c)))))))
% 0.18/0.44 = { by axiom 4 (c08) }
% 0.18/0.44 mult(mult(a, b), ld(mult(a, mult(c, ld(c, b))), mult(mult(a, c), ld(c, mult(mult(unit, mult(c, mult(c, ld(c, ld(c, b))))), c)))))
% 0.18/0.44 = { by axiom 1 (c06) }
% 0.18/0.44 mult(mult(a, b), ld(mult(a, mult(c, ld(c, b))), mult(mult(a, c), ld(c, mult(mult(c, mult(c, ld(c, ld(c, b)))), c)))))
% 0.18/0.44 = { by axiom 3 (c01) }
% 0.18/0.44 mult(mult(a, b), ld(mult(a, mult(c, ld(c, b))), mult(mult(a, c), ld(c, mult(mult(c, ld(c, b)), c)))))
% 0.18/0.44 = { by axiom 3 (c01) }
% 0.18/0.44 mult(mult(a, b), ld(mult(a, b), mult(mult(a, c), ld(c, mult(mult(c, ld(c, b)), c)))))
% 0.18/0.44 = { by axiom 3 (c01) }
% 0.18/0.45 mult(mult(a, b), ld(mult(a, b), mult(mult(a, c), ld(c, mult(b, c)))))
% 0.18/0.45 = { by axiom 3 (c01) }
% 0.18/0.45 mult(mult(a, c), ld(c, mult(b, c)))
% 0.18/0.45 % SZS output end Proof
% 0.18/0.45
% 0.18/0.45 RESULT: Unsatisfiable (the axioms are contradictory).
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