%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP605-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 12:36:53 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP605-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n010.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Sun Sep 20 20:18:09 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f1,axiom,(
% 0.13/0.39 (![A,B,C]: (double_divide(inverse(double_divide(A,inverse(double_divide(inverse(B),double_divide(A,C))))),C) = B ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,negated_conjecture,(
% 0.13/0.39 multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(inverse(double_divide(X0,inverse(double_divide(inverse(X1),double_divide(X0,X2))))),X2)=X1)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.39 fof(f5,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f6,plain,(
% 0.13/0.39 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f12,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(inverse(double_divide(X0,multiply(double_divide(X0,X1),inverse(X2)))),X1)=X2)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.13/0.39 fof(f13,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(multiply(multiply(double_divide(X0,X1),inverse(X2)),X0),X1)=X2)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f5,f12])).
% 0.13/0.39 fof(f14,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(X0,inverse(X1)),multiply(multiply(double_divide(X2,X3),inverse(X0)),X2)),X3)=X1)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f13,f13])).
% 0.13/0.39 fof(f15,plain,(
% 0.13/0.39 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(double_divide(X0,X1),multiply(X2,X3)),X0),X1)=double_divide(X3,X2))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f5,f13])).
% 0.13/0.39 fof(f16,plain,(
% 0.13/0.39 ![X0,X1,X2]: (multiply(X0,multiply(multiply(double_divide(X1,X0),inverse(X2)),X1))=inverse(X2))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f13,f5])).
% 0.13/0.39 fof(f20,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(inverse(X0),multiply(X0,inverse(X1)))=X1)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f16,f14])).
% 0.13/0.39 fof(f24,plain,(
% 0.13/0.39 ![X0,X1,X2,X3,X4]: (double_divide(multiply(multiply(double_divide(X0,X1),inverse(X2)),multiply(multiply(double_divide(X3,X4),multiply(X1,X0)),X3)),X4)=X2)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f5,f14])).
% 0.13/0.39 fof(f28,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(multiply(X0,X1),multiply(double_divide(X1,X0),inverse(X2)))=X2)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f5,f20])).
% 0.13/0.39 fof(f33,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(multiply(X0,inverse(X1)),inverse(X0))=inverse(X1))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f20,f5])).
% 0.13/0.39 fof(f35,plain,(
% 0.13/0.39 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,X2)),inverse(X0))=inverse(double_divide(X2,X1)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f5,f33])).
% 0.13/0.39 fof(f37,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(inverse(multiply(X0,inverse(X1))),inverse(X1))=X0)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f33,f20])).
% 0.13/0.39 fof(f39,plain,(
% 0.13/0.39 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,X2)),inverse(X0))=multiply(X1,X2))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f5,f35])).
% 0.13/0.39 fof(f97,plain,(
% 0.13/0.39 ![X0,X1,X2]: (multiply(inverse(X0),inverse(X1))=multiply(multiply(double_divide(X2,X1),inverse(X0)),X2))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f16,f39])).
% 0.13/0.39 fof(f104,plain,(
% 0.13/0.39 ![X0,X1,X2]: (double_divide(inverse(multiply(X0,X1)),inverse(X2))=multiply(X2,multiply(X0,X1)))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f39,f37])).
% 0.13/0.39 fof(f112,plain,(
% 0.13/0.39 ![X0,X1]: (double_divide(multiply(inverse(X0),inverse(X1)),X1)=X0)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f97,f13])).
% 0.13/0.39 fof(f126,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(X0,multiply(X1,inverse(X0)))=X1)),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f104,f37])).
% 0.13/0.39 fof(f137,plain,(
% 0.13/0.39 ![X0,X1,X2]: (multiply(multiply(X0,X1),inverse(X0))=multiply(X2,multiply(X1,inverse(X2))))),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f126,f39])).
% 0.13/0.39 fof(f142,plain,(
% 0.13/0.39 ![X0,X1]: (multiply(multiply(X0,X1),inverse(X0))=X1)),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f126,f137])).
% 0.13/0.39 fof(f143,plain,(
% 0.13/0.40 ![X0,X1,X2]: (double_divide(multiply(multiply(X0,X1),inverse(X2)),X2)=double_divide(X1,X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f5,f112])).
% 0.13/0.40 fof(f148,plain,(
% 0.13/0.40 ![X0,X1,X2]: (double_divide(multiply(X0,X1),X2)=double_divide(inverse(double_divide(X1,X2)),X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f126,f15])).
% 0.13/0.40 fof(f157,plain,(
% 0.13/0.40 ![X0,X1,X2]: (double_divide(multiply(X0,X1),X2)=double_divide(multiply(X2,X1),X0))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f5,f148])).
% 0.13/0.40 fof(f160,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(X0,inverse(multiply(X1,X0)))=inverse(X1))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f142,f142])).
% 0.13/0.40 fof(f164,plain,(
% 0.13/0.40 ![X0,X1]: (double_divide(inverse(multiply(X0,X1)),X1)=X0)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f142,f20])).
% 0.13/0.40 fof(f172,plain,(
% 0.13/0.40 ![X0,X1]: (double_divide(inverse(X0),inverse(X1))=multiply(X1,X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f142,f164])).
% 0.13/0.40 fof(f181,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(inverse(X0),inverse(X1))=inverse(multiply(X0,X1)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f142,f160])).
% 0.13/0.40 fof(f184,plain,(
% 0.13/0.40 ![X0,X1,X2]: (double_divide(multiply(X0,X1),inverse(X2))=multiply(X2,double_divide(X1,X0)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f160,f28])).
% 0.13/0.40 fof(f219,plain,(
% 0.13/0.40 ![X0,X1,X2]: (double_divide(inverse(X0),multiply(X1,X2))=multiply(double_divide(X2,X1),X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f5,f172])).
% 0.13/0.40 fof(f225,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(double_divide(inverse(X0),X1),X1)=X0)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f219,f20])).
% 0.13/0.40 fof(f244,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(double_divide(X0,X1),X2),X0),X1)=double_divide(X3,double_divide(inverse(X2),X3)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f225,f15])).
% 0.13/0.40 fof(f355,plain,(
% 0.13/0.40 ![X0,X1,X2]: (double_divide(multiply(X0,inverse(X1)),inverse(X2))=double_divide(inverse(multiply(X2,X1)),X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f181,f157])).
% 0.13/0.40 fof(f362,plain,(
% 0.13/0.40 ![X0,X1,X2]: (double_divide(inverse(multiply(X0,X1)),multiply(double_divide(inverse(X1),inverse(X0)),inverse(X2)))=X2)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f181,f28])).
% 0.13/0.40 fof(f364,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(X0,double_divide(inverse(X1),X1))=X0)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f367,f164])).
% 0.13/0.40 fof(f367,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(X0,double_divide(inverse(X1),X2))=double_divide(inverse(multiply(X0,X1)),X2))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f184,f355])).
% 0.13/0.40 fof(f375,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(X0,double_divide(inverse(X1),multiply(double_divide(inverse(X1),inverse(X0)),inverse(X2))))=X2)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f367,f362])).
% 0.13/0.40 fof(f376,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(X0,multiply(double_divide(inverse(X1),double_divide(inverse(X2),inverse(X0))),X2))=X1)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f219,f375])).
% 0.13/0.40 fof(f377,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(X0,multiply(double_divide(inverse(X1),multiply(X0,X2)),X2))=X1)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f172,f376])).
% 0.13/0.40 fof(f379,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(X0,multiply(multiply(double_divide(X1,X0),X2),X1))=X2)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f219,f377])).
% 0.13/0.40 fof(f388,plain,(
% 0.13/0.40 ![X0,X1,X2]: (double_divide(multiply(X0,double_divide(inverse(X1),X1)),X2)=double_divide(X2,X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f364,f157])).
% 0.13/0.40 fof(f392,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(X0,inverse(X0))=double_divide(inverse(X1),X1))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f364,f142])).
% 0.13/0.40 fof(f395,plain,(
% 0.13/0.40 ![X0,X1]: (double_divide(X0,X1)=double_divide(X1,X0))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f364,f388])).
% 0.13/0.40 fof(f399,plain,(
% 0.13/0.40 ![X0,X1,X2]: (double_divide(multiply(X0,X1),X2)=double_divide(X0,multiply(X2,X1)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f157,f395])).
% 0.13/0.40 fof(f431,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (double_divide(multiply(double_divide(X0,X1),multiply(X2,X3)),multiply(X1,X0))=double_divide(X3,X2))),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f399,f15])).
% 0.13/0.40 fof(f437,plain,(
% 0.13/0.40 ![X0,X1,X2,X3,X4]: (double_divide(multiply(double_divide(X0,X1),inverse(X2)),multiply(X3,multiply(multiply(double_divide(X4,X3),multiply(X1,X0)),X4)))=X2)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f399,f24])).
% 0.13/0.40 fof(f441,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (double_divide(multiply(double_divide(X0,X1),X2),multiply(X1,X0))=double_divide(X3,double_divide(inverse(X2),X3)))),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f399,f244])).
% 0.13/0.40 fof(f450,plain,(
% 0.13/0.40 ![X0,X1,X2]: (double_divide(multiply(X0,X1),multiply(X2,inverse(X2)))=double_divide(X1,X0))),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f399,f143])).
% 0.13/0.40 fof(f482,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),multiply(X2,X3)))=double_divide(X3,X2))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f399,f431])).
% 0.13/0.40 fof(f490,plain,(
% 0.13/0.40 ![X0,X1,X2,X3,X4]: (double_divide(double_divide(X0,X1),multiply(multiply(X2,multiply(multiply(double_divide(X3,X2),multiply(X1,X0)),X3)),inverse(X4)))=X4)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f399,f437])).
% 0.13/0.40 fof(f491,plain,(
% 0.13/0.40 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),inverse(X2)))=X2)),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f379,f490])).
% 0.13/0.40 fof(f497,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),X2))=double_divide(X3,double_divide(inverse(X2),X3)))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f399,f441])).
% 0.13/0.40 fof(f517,plain,(
% 0.13/0.40 ![X0,X1,X2]: (double_divide(X0,multiply(multiply(X1,inverse(X1)),X2))=double_divide(X2,X0))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f399,f450])).
% 0.13/0.40 fof(f560,plain,(
% 0.13/0.40 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),X2)=double_divide(inverse(multiply(X1,X0)),X2))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f126,f482])).
% 0.13/0.40 fof(f576,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),inverse(X2)))=double_divide(inverse(multiply(X2,X3)),X3))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f160,f482])).
% 0.13/0.40 fof(f603,plain,(
% 0.13/0.40 ![X0,X1]: (X0=double_divide(inverse(multiply(X0,X1)),X1))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f491,f576])).
% 0.13/0.40 fof(f606,plain,(
% 0.13/0.40 ![X0,X1]: (X0=double_divide(double_divide(X1,X0),X1))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f560,f603])).
% 0.13/0.40 fof(f690,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(multiply(multiply(X0,inverse(X0)),X1),X2)=inverse(double_divide(X1,X2)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f517,f5])).
% 0.13/0.40 fof(f730,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(multiply(multiply(X0,inverse(X0)),X1),X2)=multiply(X2,X1))),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f5,f690])).
% 0.13/0.40 fof(f738,plain,(
% 0.13/0.40 ![X0,X1]: (X0=double_divide(X1,double_divide(X0,X1)))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f606,f606])).
% 0.13/0.40 fof(f742,plain,(
% 0.13/0.40 ![X0,X1,X2]: (multiply(multiply(X0,inverse(X0)),X1)=double_divide(double_divide(X1,X2),X2))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f517,f606])).
% 0.13/0.40 fof(f743,plain,(
% 0.13/0.40 ![X0,X1]: (X0=double_divide(double_divide(X0,X1),X1))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f395,f606])).
% 0.13/0.40 fof(f757,plain,(
% 0.13/0.40 ![X0,X1,X2]: (double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),X2))=inverse(X2))),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f738,f497])).
% 0.13/0.40 fof(f766,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(multiply(X0,inverse(X0)),X1)=X1)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f743,f742])).
% 0.13/0.40 fof(f778,plain,(
% 0.13/0.40 ![X0]: (inverse(inverse(X0))=X0)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f757,f491])).
% 0.13/0.40 fof(f791,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f766,f730])).
% 0.13/0.40 fof(f870,plain,(
% 0.13/0.40 ![X0,X1]: (double_divide(inverse(X0),X1)=multiply(inverse(X1),X0))),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f778,f172])).
% 0.13/0.40 fof(f884,plain,(
% 0.13/0.40 ![X0,X1]: (multiply(X0,inverse(X0))=multiply(inverse(X1),X1))),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f870,f392])).
% 0.13/0.40 fof(f997,plain,(
% 0.13/0.40 ~multiply(a1,inverse(a1))=multiply(inverse(b1),b1)),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f791,f6])).
% 0.13/0.40 fof(f1017,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f997,f884])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.049823 seconds
% 0.13/0.41 % CPU time: 0.251066 seconds
% 0.13/0.41 % Total memory used: 11.585 MB
% 0.13/0.41 % Net memory used: 11.403 MB
%------------------------------------------------------------------------------