%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP402-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:36:34 PM UTC 2026
% Result : Unsatisfiable 1.42s 0.65s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP402-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:13:51 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 1.42/0.65 % Refutation found
% 1.42/0.65 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.42/0.65 % SZS output start CNFRefutation for theBenchmark
% 1.42/0.65 fof(f1,axiom,(
% 1.42/0.65 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 1.42/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.42/0.65 fof(f2,axiom,(
% 1.42/0.65 (![A,B,C]: (( multiply(A,B) != multiply(C,B)| A = C ) ))),
% 1.42/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.42/0.65 fof(f3,axiom,(
% 1.42/0.65 (![A,B,C]: (( multiply(A,B) != multiply(A,C)| B = C ) ))),
% 1.42/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.42/0.65 fof(f4,axiom,(
% 1.42/0.65 (![A,B]: (multiply(A,B) = multiply(B,multiply(A,commutator(A,B))) ))),
% 1.42/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.42/0.65 fof(f5,axiom,(
% 1.42/0.65 (![A,B,C]: (multiply(commutator(A,B),C) = multiply(C,commutator(A,B)) ))),
% 1.42/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.42/0.65 fof(f6,negated_conjecture,(
% 1.42/0.65 commutator(commutator(a,b),c) != commutator(a,commutator(b,c)) ),
% 1.42/0.65 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 1.42/0.65 fof(f7,plain,(
% 1.42/0.65 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 1.42/0.65 inference(cnf_transformation,[status(thm)],[f1])).
% 1.42/0.65 fof(f8,plain,(
% 1.42/0.65 ![A,C]: ((![B]: ~multiply(A,B)=multiply(C,B))|A=C)),
% 1.42/0.65 inference(miniscoping,[status(thm)],[f2])).
% 1.42/0.65 fof(f9,plain,(
% 1.42/0.65 ![X0,X1,X2]: (~multiply(X0,X1)=multiply(X2,X1)|X0=X2)),
% 1.42/0.65 inference(cnf_transformation,[status(thm)],[f8])).
% 1.42/0.65 fof(f10,plain,(
% 1.42/0.65 ![B,C]: ((![A]: ~multiply(A,B)=multiply(A,C))|B=C)),
% 1.42/0.65 inference(miniscoping,[status(thm)],[f3])).
% 1.42/0.65 fof(f11,plain,(
% 1.42/0.65 ![X0,X1,X2]: (~multiply(X0,X1)=multiply(X0,X2)|X1=X2)),
% 1.42/0.65 inference(cnf_transformation,[status(thm)],[f10])).
% 1.42/0.65 fof(f12,plain,(
% 1.42/0.65 ![X0,X1]: (multiply(X0,X1)=multiply(X1,multiply(X0,commutator(X0,X1))))),
% 1.42/0.65 inference(cnf_transformation,[status(thm)],[f4])).
% 1.42/0.65 fof(f13,plain,(
% 1.42/0.65 ![X0,X1,X2]: (multiply(commutator(X0,X1),X2)=multiply(X2,commutator(X0,X1)))),
% 1.42/0.65 inference(cnf_transformation,[status(thm)],[f5])).
% 1.42/0.65 fof(f14,plain,(
% 1.42/0.65 ~commutator(commutator(a,b),c)=commutator(a,commutator(b,c))),
% 1.42/0.65 inference(cnf_transformation,[status(thm)],[f6])).
% 1.42/0.65 fof(f21,plain,(
% 1.42/0.65 ![X0,X1,X2,X3]: (~multiply(X0,commutator(X1,X2))=multiply(X3,X0)|commutator(X1,X2)=X3)),
% 1.42/0.65 inference(paramodulation,[status(thm)],[f13,f9])).
% 1.42/0.65 fof(f22,plain,(
% 1.42/0.65 ![X0,X1,X2,X3]: (~multiply(commutator(X0,X1),X2)=multiply(X3,commutator(X0,X1))|X2=X3)),
% 1.42/0.65 inference(paramodulation,[status(thm)],[f13,f9])).
% 1.42/0.65 fof(f38,plain,(
% 1.42/0.65 ![X0,X1,X2]: (multiply(X0,commutator(X0,commutator(X1,X2)))=X0)),
% 1.42/0.65 inference(resolution,[status(thm)],[f22,f12])).
% 1.42/0.65 fof(f47,plain,(
% 1.42/0.65 ![X0,X1,X2,X3]: (~X0=multiply(X1,X0)|commutator(X0,commutator(X2,X3))=X1)),
% 1.42/0.65 inference(paramodulation,[status(thm)],[f38,f21])).
% 1.42/0.65 fof(f58,plain,(
% 1.42/0.65 ~a=multiply(commutator(commutator(a,b),c),a)),
% 1.42/0.65 inference(resolution,[status(thm)],[f47,f14])).
% 1.42/0.65 fof(f69,plain,(
% 1.42/0.65 ![X0]: (X0=multiply(X0,commutator(X0,X0)))),
% 1.42/0.65 inference(resolution,[status(thm)],[f11,f12])).
% 1.42/0.65 fof(f74,plain,(
% 1.42/0.65 ![X0,X1,X2,X3]: (~multiply(commutator(X0,X1),X2)=multiply(X2,X3)|commutator(X0,X1)=X3)),
% 1.42/0.65 inference(paramodulation,[status(thm)],[f13,f11])).
% 1.42/0.65 fof(f139,plain,(
% 1.42/0.65 ![X0,X1]: (multiply(X0,X1)=multiply(X0,multiply(commutator(X0,X0),X1)))),
% 1.42/0.65 inference(paramodulation,[status(thm)],[f69,f7])).
% 1.42/0.65 fof(f169,plain,(
% 1.42/0.65 ~a=multiply(a,commutator(commutator(a,b),c))),
% 1.42/0.65 inference(paramodulation,[status(thm)],[f13,f58])).
% 1.42/0.65 fof(f213,plain,(
% 1.42/0.65 ![X0,X1,X2]: (commutator(X0,X1)=multiply(commutator(X0,X1),commutator(commutator(X0,X1),X2)))),
% 1.42/0.65 inference(resolution,[status(thm)],[f74,f12])).
% 1.42/0.65 fof(f300,plain,(
% 1.42/0.65 ![X0,X1]: (X0=multiply(commutator(X1,X1),X0))),
% 1.42/0.65 inference(resolution,[status(thm)],[f139,f11])).
% 1.42/0.65 fof(f345,plain,(
% 1.42/0.65 ![X0,X1]: (multiply(X0,commutator(X1,X1))=X0)),
% 1.42/0.65 inference(resolution,[status(thm)],[f300,f22])).
% 1.42/0.65 fof(f356,plain,(
% 1.42/0.65 ![X0,X1,X2]: (~X0=multiply(X0,X1)|commutator(X2,X2)=X1)),
% 1.42/0.65 inference(paramodulation,[status(thm)],[f300,f74])).
% 1.42/0.65 fof(f3596,plain,(
% 1.42/0.65 ![X0,X1,X2,X3]: (commutator(X0,X0)=commutator(commutator(X1,X2),X3))),
% 1.42/0.65 inference(resolution,[status(thm)],[f213,f356])).
% 1.42/0.65 fof(f3806,plain,(
% 1.42/0.65 ![X0]: (~a=multiply(a,commutator(X0,X0)))),
% 1.42/0.65 inference(paramodulation,[status(thm)],[f3596,f169])).
% 1.42/0.66 fof(f3878,plain,(
% 1.42/0.66 ~a=a),
% 1.42/0.66 inference(forward_demodulation,[status(thm)],[f345,f3806])).
% 1.42/0.66 fof(f3879,plain,(
% 1.42/0.66 $false),
% 1.42/0.66 inference(trivial_equality_resolution,[status(thm)],[f3878])).
% 1.42/0.66 % SZS output end CNFRefutation for theBenchmark.p
% 1.42/0.68 % Elapsed time: 0.300988 seconds
% 1.42/0.68 % CPU time: 2.071338 seconds
% 1.42/0.68 % Total memory used: 88.403 MB
% 1.42/0.68 % Net memory used: 87.170 MB
%------------------------------------------------------------------------------