TSTP Solution File: GRP750-1 by Twee---2.4.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Twee---2.4.2
% Problem : GRP750-1 : TPTP v8.1.2. Released v4.0.0.
% 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 : 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 01:19:59 EDT 2023
% Result : Unsatisfiable 0.20s 0.41s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP750-1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12 % Command : parallel-twee %s --tstp --conditional-encoding if --smaller --drop-non-horn --give-up-on-saturation --explain-encoding --formal-proof
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 28 23:53:40 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.20/0.41 Command-line arguments: --kbo-weight0 --lhs-weight 5 --flip-ordering --normalise-queue-percent 10 --cp-renormalise-threshold 10 --goal-heuristic
% 0.20/0.41
% 0.20/0.41 % SZS status Unsatisfiable
% 0.20/0.41
% 0.20/0.42 % SZS output start Proof
% 0.20/0.42 Axiom 1 (f02): ld(X, mult(X, Y)) = Y.
% 0.20/0.42 Axiom 2 (f06): mult(mult(X, Y), mult(Z, Z)) = mult(mult(X, Z), mult(Y, Z)).
% 0.20/0.42 Axiom 3 (f05): mult(mult(X, mult(X, X)), mult(Y, Z)) = mult(mult(X, Y), mult(mult(X, X), Z)).
% 0.20/0.42
% 0.20/0.42 Goal 1 (goals): mult(mult(a, a), mult(b, c)) = mult(mult(a, b), mult(a, c)).
% 0.20/0.42 Proof:
% 0.20/0.42 mult(mult(a, a), mult(b, c))
% 0.20/0.42 = { by axiom 1 (f02) R->L }
% 0.20/0.42 ld(mult(a, mult(a, c)), mult(mult(a, mult(a, c)), mult(mult(a, a), mult(b, c))))
% 0.20/0.42 = { by axiom 3 (f05) R->L }
% 0.20/0.42 ld(mult(a, mult(a, c)), mult(mult(a, mult(a, a)), mult(mult(a, c), mult(b, c))))
% 0.20/0.42 = { by axiom 2 (f06) R->L }
% 0.20/0.42 ld(mult(a, mult(a, c)), mult(mult(a, mult(a, a)), mult(mult(a, b), mult(c, c))))
% 0.20/0.42 = { by axiom 3 (f05) }
% 0.20/0.42 ld(mult(a, mult(a, c)), mult(mult(a, mult(a, b)), mult(mult(a, a), mult(c, c))))
% 0.20/0.42 = { by axiom 2 (f06) }
% 0.20/0.42 ld(mult(a, mult(a, c)), mult(mult(a, mult(a, b)), mult(mult(a, c), mult(a, c))))
% 0.20/0.42 = { by axiom 2 (f06) }
% 0.20/0.42 ld(mult(a, mult(a, c)), mult(mult(a, mult(a, c)), mult(mult(a, b), mult(a, c))))
% 0.20/0.42 = { by axiom 1 (f02) }
% 0.20/0.42 mult(mult(a, b), mult(a, c))
% 0.20/0.42 % SZS output end Proof
% 0.20/0.42
% 0.20/0.42 RESULT: Unsatisfiable (the axioms are contradictory).
%------------------------------------------------------------------------------