TSTP Solution File: GRP481-1 by Twee---2.4.2
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% File : Twee---2.4.2
% Problem : GRP481-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : n003.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 01:18:36 EDT 2023
% Result : Unsatisfiable 0.19s 0.37s
% 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 : GRP481-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.13 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 20:50:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.37 Command-line arguments: --lhs-weight 1 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10
% 0.19/0.37
% 0.19/0.37 % SZS status Unsatisfiable
% 0.19/0.37
% 0.19/0.38 % SZS output start Proof
% 0.19/0.38 Axiom 1 (inverse): inverse(X) = double_divide(X, identity).
% 0.19/0.38 Axiom 2 (identity): identity = double_divide(X, inverse(X)).
% 0.19/0.38 Axiom 3 (multiply): multiply(X, Y) = double_divide(double_divide(Y, X), identity).
% 0.19/0.38 Axiom 4 (single_axiom): double_divide(double_divide(double_divide(X, double_divide(Y, identity)), double_divide(double_divide(Z, double_divide(W, double_divide(W, identity))), double_divide(X, identity))), Y) = Z.
% 0.19/0.38
% 0.19/0.38 Goal 1 (prove_these_axioms_1): multiply(inverse(a1), a1) = identity.
% 0.19/0.38 Proof:
% 0.19/0.38 multiply(inverse(a1), a1)
% 0.19/0.38 = { by axiom 4 (single_axiom) R->L }
% 0.19/0.38 double_divide(double_divide(double_divide(inverse(multiply(inverse(a1), a1)), double_divide(inverse(multiply(inverse(a1), a1)), identity)), double_divide(double_divide(multiply(inverse(a1), a1), double_divide(X, double_divide(X, identity))), double_divide(inverse(multiply(inverse(a1), a1)), identity))), inverse(multiply(inverse(a1), a1)))
% 0.19/0.38 = { by axiom 1 (inverse) R->L }
% 0.19/0.38 double_divide(double_divide(double_divide(inverse(multiply(inverse(a1), a1)), inverse(inverse(multiply(inverse(a1), a1)))), double_divide(double_divide(multiply(inverse(a1), a1), double_divide(X, double_divide(X, identity))), double_divide(inverse(multiply(inverse(a1), a1)), identity))), inverse(multiply(inverse(a1), a1)))
% 0.19/0.38 = { by axiom 1 (inverse) R->L }
% 0.19/0.38 double_divide(double_divide(double_divide(inverse(multiply(inverse(a1), a1)), inverse(inverse(multiply(inverse(a1), a1)))), double_divide(double_divide(multiply(inverse(a1), a1), double_divide(X, inverse(X))), double_divide(inverse(multiply(inverse(a1), a1)), identity))), inverse(multiply(inverse(a1), a1)))
% 0.19/0.38 = { by axiom 2 (identity) R->L }
% 0.19/0.38 double_divide(double_divide(double_divide(inverse(multiply(inverse(a1), a1)), inverse(inverse(multiply(inverse(a1), a1)))), double_divide(double_divide(multiply(inverse(a1), a1), identity), double_divide(inverse(multiply(inverse(a1), a1)), identity))), inverse(multiply(inverse(a1), a1)))
% 0.19/0.38 = { by axiom 1 (inverse) R->L }
% 0.19/0.38 double_divide(double_divide(double_divide(inverse(multiply(inverse(a1), a1)), inverse(inverse(multiply(inverse(a1), a1)))), double_divide(inverse(multiply(inverse(a1), a1)), double_divide(inverse(multiply(inverse(a1), a1)), identity))), inverse(multiply(inverse(a1), a1)))
% 0.19/0.38 = { by axiom 1 (inverse) R->L }
% 0.19/0.38 double_divide(double_divide(double_divide(inverse(multiply(inverse(a1), a1)), inverse(inverse(multiply(inverse(a1), a1)))), double_divide(inverse(multiply(inverse(a1), a1)), inverse(inverse(multiply(inverse(a1), a1))))), inverse(multiply(inverse(a1), a1)))
% 0.19/0.38 = { by axiom 2 (identity) R->L }
% 0.19/0.38 double_divide(double_divide(double_divide(inverse(multiply(inverse(a1), a1)), inverse(inverse(multiply(inverse(a1), a1)))), identity), inverse(multiply(inverse(a1), a1)))
% 0.19/0.38 = { by axiom 1 (inverse) R->L }
% 0.19/0.38 double_divide(inverse(double_divide(inverse(multiply(inverse(a1), a1)), inverse(inverse(multiply(inverse(a1), a1))))), inverse(multiply(inverse(a1), a1)))
% 0.19/0.38 = { by axiom 2 (identity) R->L }
% 0.19/0.38 double_divide(inverse(identity), inverse(multiply(inverse(a1), a1)))
% 0.19/0.38 = { by axiom 2 (identity) }
% 0.19/0.38 double_divide(inverse(double_divide(a1, inverse(a1))), inverse(multiply(inverse(a1), a1)))
% 0.19/0.38 = { by axiom 1 (inverse) }
% 0.19/0.38 double_divide(double_divide(double_divide(a1, inverse(a1)), identity), inverse(multiply(inverse(a1), a1)))
% 0.19/0.38 = { by axiom 3 (multiply) R->L }
% 0.19/0.38 double_divide(multiply(inverse(a1), a1), inverse(multiply(inverse(a1), a1)))
% 0.19/0.38 = { by axiom 2 (identity) R->L }
% 0.19/0.38 identity
% 0.19/0.38 % SZS output end Proof
% 0.19/0.38
% 0.19/0.38 RESULT: Unsatisfiable (the axioms are contradictory).
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