%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP401-1 : 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 : n009.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 120.84s 15.67s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP401-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n009.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 20:11:12 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 120.84/15.67 % Refutation found
% 120.84/15.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 120.84/15.67 % SZS output start CNFRefutation for theBenchmark
% 120.84/15.67 fof(f1,axiom,(
% 120.84/15.67 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 120.84/15.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.84/15.67 fof(f2,axiom,(
% 120.84/15.67 (![A,B,C]: (( multiply(A,B) != multiply(C,B)| A = C ) ))),
% 120.84/15.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.84/15.67 fof(f3,axiom,(
% 120.84/15.67 (![A,B,C]: (( multiply(A,B) != multiply(A,C)| B = C ) ))),
% 120.84/15.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.84/15.67 fof(f4,axiom,(
% 120.84/15.67 (![A,B]: (multiply(A,B) = multiply(B,multiply(A,commutator(A,B))) ))),
% 120.84/15.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.84/15.67 fof(f5,axiom,(
% 120.84/15.67 (![A,B,C]: (commutator(multiply(A,B),C) = multiply(commutator(A,C),commutator(B,C)) ))),
% 120.84/15.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.84/15.67 fof(f6,negated_conjecture,(
% 120.84/15.67 multiply(commutator(a,b),c) != multiply(c,commutator(a,b)) ),
% 120.84/15.67 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 120.84/15.67 fof(f7,plain,(
% 120.84/15.67 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 120.84/15.67 inference(cnf_transformation,[status(thm)],[f1])).
% 120.84/15.67 fof(f8,plain,(
% 120.84/15.67 ![A,C]: ((![B]: ~multiply(A,B)=multiply(C,B))|A=C)),
% 120.84/15.67 inference(miniscoping,[status(thm)],[f2])).
% 120.84/15.67 fof(f9,plain,(
% 120.84/15.67 ![X0,X1,X2]: (~multiply(X0,X1)=multiply(X2,X1)|X0=X2)),
% 120.84/15.67 inference(cnf_transformation,[status(thm)],[f8])).
% 120.84/15.67 fof(f10,plain,(
% 120.84/15.67 ![B,C]: ((![A]: ~multiply(A,B)=multiply(A,C))|B=C)),
% 120.84/15.67 inference(miniscoping,[status(thm)],[f3])).
% 120.84/15.67 fof(f11,plain,(
% 120.84/15.67 ![X0,X1,X2]: (~multiply(X0,X1)=multiply(X0,X2)|X1=X2)),
% 120.84/15.67 inference(cnf_transformation,[status(thm)],[f10])).
% 120.84/15.67 fof(f12,plain,(
% 120.84/15.67 ![X0,X1]: (multiply(X0,X1)=multiply(X1,multiply(X0,commutator(X0,X1))))),
% 120.84/15.67 inference(cnf_transformation,[status(thm)],[f4])).
% 120.84/15.67 fof(f13,plain,(
% 120.84/15.67 ![X0,X1,X2]: (commutator(multiply(X0,X1),X2)=multiply(commutator(X0,X2),commutator(X1,X2)))),
% 120.84/15.67 inference(cnf_transformation,[status(thm)],[f5])).
% 120.84/15.67 fof(f14,plain,(
% 120.84/15.67 ~multiply(commutator(a,b),c)=multiply(c,commutator(a,b))),
% 120.84/15.67 inference(cnf_transformation,[status(thm)],[f6])).
% 120.84/15.67 fof(f18,plain,(
% 120.84/15.67 ![X0,X1,X2,X3]: (~multiply(X0,multiply(X1,X2))=multiply(X3,X2)|multiply(X0,X1)=X3)),
% 120.84/15.67 inference(paramodulation,[status(thm)],[f7,f9])).
% 120.84/15.67 fof(f21,plain,(
% 120.84/15.67 ![X0,X1,X2,X3]: (~multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),X3)|X2=X3)),
% 120.84/15.67 inference(paramodulation,[status(thm)],[f7,f11])).
% 120.84/15.67 fof(f24,plain,(
% 120.84/15.67 ![X0,X1,X2,X3]: (~multiply(X0,multiply(X1,X2))=multiply(X0,multiply(X1,X3))|X2=X3)),
% 120.84/15.67 inference(forward_demodulation,[status(thm)],[f7,f21])).
% 120.84/15.67 fof(f29,plain,(
% 120.84/15.67 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X2,multiply(X0,multiply(X1,commutator(multiply(X0,X1),X2)))))),
% 120.84/15.67 inference(paramodulation,[status(thm)],[f7,f12])).
% 120.84/15.67 fof(f35,plain,(
% 120.84/15.67 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X1,multiply(multiply(X0,commutator(X0,X1)),X2)))),
% 120.84/15.67 inference(paramodulation,[status(thm)],[f12,f7])).
% 120.84/15.67 fof(f36,plain,(
% 120.84/15.67 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X2,multiply(X0,multiply(X1,commutator(multiply(X0,X1),X2)))))),
% 120.84/15.67 inference(forward_demodulation,[status(thm)],[f7,f29])).
% 120.84/15.67 fof(f37,plain,(
% 120.84/15.67 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X1,multiply(multiply(X0,commutator(X0,X1)),X2)))),
% 120.84/15.67 inference(forward_demodulation,[status(thm)],[f7,f35])).
% 120.84/15.67 fof(f38,plain,(
% 120.84/15.67 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(X1,multiply(X0,multiply(commutator(X0,X1),X2))))),
% 120.84/15.67 inference(forward_demodulation,[status(thm)],[f7,f37])).
% 120.84/15.67 fof(f54,plain,(
% 120.84/15.67 ![X0,X1,X2,X3,X4]: (~multiply(X0,multiply(X1,multiply(X2,X3)))=multiply(X4,X3)|multiply(multiply(X0,X1),X2)=X4)),
% 120.84/15.67 inference(paramodulation,[status(thm)],[f7,f18])).
% 120.84/15.67 fof(f64,plain,(
% 120.84/15.67 ![X0,X1,X2,X3,X4]: (~multiply(X0,multiply(X1,multiply(X2,X3)))=multiply(X4,X3)|multiply(X0,multiply(X1,X2))=X4)),
% 120.84/15.67 inference(forward_demodulation,[status(thm)],[f7,f54])).
% 120.84/15.67 fof(f283,plain,(
% 120.84/15.67 ![X0,X1,X2,X3]: (~multiply(X0,multiply(X1,X2))=multiply(X1,multiply(X0,X3))|X2=multiply(commutator(X1,X0),X3))),
% 120.84/15.67 inference(paramodulation,[status(thm)],[f38,f24])).
% 120.84/15.67 fof(f901,plain,(
% 120.84/15.67 ![X0,X1,X2,X3]: (~multiply(X0,multiply(X1,X2))=multiply(X3,commutator(X1,X2))|multiply(X0,multiply(X2,X1))=X3)),
% 69.28/15.76 inference(paramodulation,[status(thm)],[f12,f64])).
% 69.28/15.76 fof(f14056,plain,(
% 69.28/15.76 ~multiply(b,multiply(a,multiply(c,commutator(a,b))))=multiply(a,multiply(b,c))),
% 69.28/15.76 inference(resolution,[status(thm)],[f283,f14])).
% 69.28/15.76 fof(f60027,plain,(
% 69.28/15.76 ~multiply(a,multiply(c,b))=multiply(multiply(b,multiply(a,multiply(c,commutator(a,b)))),commutator(c,b))),
% 69.28/15.76 inference(resolution,[status(thm)],[f901,f14056])).
% 69.28/15.76 fof(f60283,plain,(
% 69.28/15.76 ~multiply(a,multiply(c,b))=multiply(b,multiply(multiply(a,multiply(c,commutator(a,b))),commutator(c,b)))),
% 69.28/15.76 inference(forward_demodulation,[status(thm)],[f7,f60027])).
% 69.28/15.76 fof(f60284,plain,(
% 69.28/15.76 ~multiply(a,multiply(c,b))=multiply(b,multiply(a,multiply(multiply(c,commutator(a,b)),commutator(c,b))))),
% 69.28/15.76 inference(forward_demodulation,[status(thm)],[f7,f60283])).
% 69.28/15.76 fof(f60285,plain,(
% 69.28/15.76 ~multiply(a,multiply(c,b))=multiply(b,multiply(a,multiply(c,multiply(commutator(a,b),commutator(c,b)))))),
% 69.28/15.76 inference(forward_demodulation,[status(thm)],[f7,f60284])).
% 69.28/15.76 fof(f60286,plain,(
% 69.28/15.76 ~multiply(a,multiply(c,b))=multiply(b,multiply(a,multiply(c,commutator(multiply(a,c),b))))),
% 69.28/15.76 inference(forward_demodulation,[status(thm)],[f13,f60285])).
% 69.28/15.76 fof(f60287,plain,(
% 69.28/15.76 ~multiply(a,multiply(c,b))=multiply(a,multiply(c,b))),
% 69.28/15.76 inference(forward_demodulation,[status(thm)],[f36,f60286])).
% 69.28/15.76 fof(f60288,plain,(
% 69.28/15.76 $false),
% 69.28/15.76 inference(trivial_equality_resolution,[status(thm)],[f60287])).
% 69.28/15.76 % SZS output end CNFRefutation for theBenchmark.p
% 69.28/15.79 % Elapsed time: 15.415505 seconds
% 69.28/15.79 % CPU time: 121.963804 seconds
% 69.28/15.79 % Total memory used: 591.363 MB
% 69.28/15.79 % Net memory used: 555.188 MB
%------------------------------------------------------------------------------