%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP070-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 12:35:35 PM UTC 2026
% Result : Unsatisfiable 0.23s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP070-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.30 % Computer : n012.cluster.edu
% 0.06/0.30 % Model : x86_64 x86_64
% 0.06/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.30 % Memory : 8046.5625MB
% 0.06/0.30 % OS : Linux 6.8.0-71-generic
% 0.06/0.30 % CPULimit : 300
% 0.06/0.30 % WCLimit : 300
% 0.06/0.30 % DateTime : Sun Sep 20 19:56:22 UTC 2026
% 0.06/0.30 % CPUTime :
% 0.06/0.30 % Drodi V4.1.1
% 0.23/0.41 % Refutation found
% 0.23/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.23/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.23/0.41 fof(f1,axiom,(
% 0.23/0.41 (![X,Y,Z,U]: (divide(divide(X,X),divide(Y,divide(divide(Z,divide(U,Y)),inverse(U)))) = Z ))),
% 0.23/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.41 fof(f2,axiom,(
% 0.23/0.41 (![X,Y]: (multiply(X,Y) = divide(X,inverse(Y)) ))),
% 0.23/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.41 fof(f3,negated_conjecture,(
% 0.23/0.41 ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)| multiply(multiply(inverse(b2),b2),a2) != a2| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ) ),
% 0.23/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.23/0.41 fof(f4,plain,(
% 0.23/0.41 ![X0,X1,X2,X3]: (divide(divide(X0,X0),divide(X1,divide(divide(X2,divide(X3,X1)),inverse(X3))))=X2)),
% 0.23/0.41 inference(cnf_transformation,[status(thm)],[f1])).
% 0.23/0.41 fof(f5,plain,(
% 0.23/0.41 ![X0,X1]: (multiply(X0,X1)=divide(X0,inverse(X1)))),
% 0.23/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.23/0.41 fof(f6,plain,(
% 0.23/0.41 ~multiply(inverse(a1),a1)=multiply(inverse(b1),b1)|~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.23/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.23/0.41 fof(f7,plain,(
% 0.23/0.41 ![X0,X1,X2,X3]: (divide(divide(X0,X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3)))=X2)),
% 0.23/0.41 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.23/0.41 fof(f8,plain,(
% 0.23/0.41 ![X0,X1,X2,X3]: (divide(multiply(inverse(X0),X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3)))=X2)),
% 0.23/0.41 inference(paramodulation,[status(thm)],[f5,f7])).
% 0.23/0.41 fof(f9,plain,(
% 0.23/0.41 ![X0,X1,X2,X3,X4]: (divide(divide(X0,X0),divide(multiply(divide(X1,divide(X2,X3)),X2),multiply(X1,X3)))=divide(X4,X4))),
% 0.23/0.41 inference(paramodulation,[status(thm)],[f7,f7])).
% 0.23/0.41 fof(f10,plain,(
% 0.23/0.41 ![X0,X1,X2,X3,X4,X5]: (divide(divide(X0,X0),divide(divide(X1,multiply(divide(X2,divide(X3,X1)),X3)),multiply(divide(X4,X2),divide(X5,X5))))=X4)),
% 0.23/0.41 inference(paramodulation,[status(thm)],[f7,f7])).
% 0.23/0.41 fof(f11,plain,(
% 0.23/0.41 ![X0,X1,X2,X3]: (divide(divide(X0,X0),divide(inverse(X1),multiply(divide(X2,multiply(X3,X1)),X3)))=X2)),
% 0.23/0.41 inference(paramodulation,[status(thm)],[f5,f7])).
% 0.23/0.41 fof(f16,plain,(
% 0.23/0.41 ![X0,X1,X2,X3]: (divide(multiply(inverse(X0),X0),divide(inverse(X1),multiply(divide(X2,multiply(X3,X1)),X3)))=X2)),
% 0.23/0.41 inference(paramodulation,[status(thm)],[f5,f8])).
% 0.23/0.41 fof(f21,plain,(
% 0.23/0.41 ![X0,X1,X2,X3,X4]: (divide(divide(X0,X0),divide(multiply(divide(X1,multiply(X2,X3)),X2),multiply(X1,inverse(X3))))=divide(X4,X4))),
% 0.23/0.41 inference(paramodulation,[status(thm)],[f11,f7])).
% 0.23/0.41 fof(f28,plain,(
% 0.23/0.41 ![X0,X1]: (divide(X0,X0)=divide(X1,X1))),
% 0.23/0.41 inference(paramodulation,[status(thm)],[f9,f9])).
% 0.23/0.41 fof(f61,plain,(
% 0.23/0.41 ![X0,X1]: (multiply(inverse(X0),X0)=divide(X1,X1))),
% 0.23/0.41 inference(paramodulation,[status(thm)],[f5,f28])).
% 0.23/0.41 fof(f70,plain,(
% 0.23/0.41 ![X0,X1,X2,X3]: (divide(multiply(inverse(X0),X0),divide(X1,multiply(divide(X2,X2),X3)))=divide(X3,X1))),
% 0.23/0.41 inference(paramodulation,[status(thm)],[f28,f8])).
% 0.23/0.41 fof(f71,plain,(
% 0.23/0.41 ![X0,X1,X2,X3]: (divide(divide(X0,X0),divide(X1,multiply(divide(X2,X2),X3)))=divide(X3,X1))),
% 0.23/0.41 inference(paramodulation,[status(thm)],[f28,f7])).
% 0.23/0.41 fof(f104,plain,(
% 0.23/0.41 ![X0,X1]: (multiply(inverse(X0),X0)=multiply(inverse(X1),X1))),
% 0.23/0.41 inference(paramodulation,[status(thm)],[f5,f61])).
% 0.23/0.41 fof(f129,plain,(
% 0.23/0.41 ~multiply(multiply(inverse(b2),b2),a2)=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.23/0.41 inference(backward_subsumption_resolution,[status(thm)],[f6,f104])).
% 0.23/0.41 fof(f156,plain,(
% 0.23/0.41 ![X0,X1,X2]: (divide(X0,X0)=divide(X1,multiply(divide(X2,X2),X1)))),
% 0.23/0.41 inference(paramodulation,[status(thm)],[f28,f71])).
% 0.23/0.41 fof(f178,plain,(
% 0.23/0.41 ![X0,X1,X2,X3,X4,X5]: (divide(divide(X0,X0),divide(multiply(divide(X1,X2),X2),multiply(divide(X3,X3),multiply(divide(X4,X4),X1))))=divide(X5,X5))),
% 0.23/0.41 inference(paramodulation,[status(thm)],[f71,f9])).
% 0.23/0.41 fof(f190,plain,(
% 0.23/0.41 ![X0,X1,X2,X3,X4]: (divide(divide(X0,multiply(divide(X1,X1),X0)),divide(X2,multiply(divide(X3,divide(X4,X2)),X4)))=X3)),
% 0.23/0.41 inference(paramodulation,[status(thm)],[f71,f7])).
% 0.23/0.41 fof(f191,plain,(
% 0.23/0.41 ![X0,X1,X2,X3]: (divide(multiply(divide(X0,X0),X1),multiply(divide(X1,X2),X2))=divide(X3,X3))),
% 0.23/0.41 inference(forward_demodulation,[status(thm)],[f71,f178])).
% 0.23/0.41 fof(f225,plain,(
% 0.23/0.41 ![X0,X1,X2,X3,X4]: (divide(divide(X0,X0),divide(X1,multiply(divide(X2,divide(X3,multiply(divide(X4,X4),X3))),X1)))=X2)),
% 0.23/0.41 inference(paramodulation,[status(thm)],[f156,f7])).
% 0.23/0.41 fof(f232,plain,(
% 0.23/0.41 ![X0,X1,X2,X3]: (divide(multiply(inverse(X0),X0),divide(inverse(X1),multiply(divide(X2,X2),divide(X3,X3))))=X1)),
% 0.23/0.41 inference(paramodulation,[status(thm)],[f156,f16])).
% 0.23/0.41 fof(f240,plain,(
% 0.23/0.41 ![X0,X1]: (divide(divide(X0,X0),inverse(X1))=X1)),
% 0.23/0.41 inference(forward_demodulation,[status(thm)],[f70,f232])).
% 0.23/0.41 fof(f242,plain,(
% 0.23/0.41 ![X0,X1,X2]: (divide(divide(X0,X0),divide(X1,X2))=divide(X2,X1))),
% 0.23/0.41 inference(backward_demodulation,[status(thm)],[f269,f71])).
% 0.23/0.41 fof(f244,plain,(
% 0.23/0.41 ![X0,X1,X2,X3]: (divide(divide(X0,X0),divide(X1,multiply(divide(X2,divide(X3,X3)),X1)))=X2)),
% 0.23/0.41 inference(backward_demodulation,[status(thm)],[f269,f225])).
% 0.23/0.41 fof(f251,plain,(
% 0.23/0.41 ![X0,X1,X2,X3]: (divide(divide(X0,X0),divide(X1,multiply(divide(X2,divide(X3,X1)),X3)))=X2)),
% 0.23/0.41 inference(backward_demodulation,[status(thm)],[f269,f190])).
% 0.23/0.41 fof(f258,plain,(
% 0.23/0.41 ![X0,X1,X2]: (divide(X0,multiply(divide(X0,X1),X1))=divide(X2,X2))),
% 0.23/0.41 inference(backward_demodulation,[status(thm)],[f269,f191])).
% 0.23/0.41 fof(f269,plain,(
% 0.23/0.41 ![X0,X1]: (multiply(divide(X0,X0),X1)=X1)),
% 0.23/0.41 inference(forward_demodulation,[status(thm)],[f5,f240])).
% 0.23/0.41 fof(f282,plain,(
% 0.23/0.41 ![X0,X1,X2,X3,X4]: (divide(multiply(divide(X0,X1),divide(X2,X2)),divide(X3,multiply(divide(X1,divide(X4,X3)),X4)))=X0)),
% 0.23/0.41 inference(backward_demodulation,[status(thm)],[f242,f10])).
% 0.23/0.41 fof(f289,plain,(
% 0.23/0.41 ![X0,X1,X2,X3]: (divide(multiply(X0,inverse(X1)),multiply(divide(X0,multiply(X2,X1)),X2))=divide(X3,X3))),
% 0.23/0.41 inference(backward_demodulation,[status(thm)],[f242,f21])).
% 0.23/0.41 fof(f313,plain,(
% 0.23/0.41 ![X0,X1,X2]: (divide(multiply(divide(X0,divide(X1,X1)),X2),X2)=X0)),
% 0.23/0.41 inference(forward_demodulation,[status(thm)],[f242,f244])).
% 0.23/0.41 fof(f336,plain,(
% 0.23/0.41 ![X0,X1,X2]: (divide(multiply(divide(X0,divide(X1,X2)),X1),X2)=X0)),
% 0.23/0.41 inference(forward_demodulation,[status(thm)],[f242,f251])).
% 0.23/0.41 fof(f364,plain,(
% 0.23/0.41 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=X1)),
% 0.23/0.41 inference(paramodulation,[status(thm)],[f5,f269])).
% 0.23/0.41 fof(f368,plain,(
% 0.23/0.41 ~a2=a2|~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.23/0.41 inference(backward_demodulation,[status(thm)],[f364,f129])).
% 0.23/0.41 fof(f372,plain,(
% 0.23/0.41 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.23/0.41 inference(trivial_equality_resolution,[status(thm)],[f368])).
% 0.23/0.41 fof(f381,plain,(
% 0.23/0.41 ![X0,X1,X2,X3]: (divide(divide(X0,X0),divide(X1,X2))=divide(divide(X2,X1),divide(X3,X3)))),
% 0.23/0.41 inference(paramodulation,[status(thm)],[f242,f242])).
% 0.23/0.41 fof(f391,plain,(
% 0.23/0.41 ![X0,X1,X2]: (divide(X0,X1)=divide(divide(X0,X1),divide(X2,X2)))),
% 0.23/0.41 inference(forward_demodulation,[status(thm)],[f242,f381])).
% 0.23/0.41 fof(f439,plain,(
% 0.23/0.41 ![X0,X1,X2]: (divide(X0,inverse(X1))=divide(multiply(X0,X1),divide(X2,X2)))),
% 0.23/0.41 inference(paramodulation,[status(thm)],[f5,f391])).
% 0.23/0.41 fof(f463,plain,(
% 0.23/0.41 ![X0,X1,X2]: (multiply(X0,X1)=divide(multiply(X0,X1),divide(X2,X2)))),
% 0.23/0.41 inference(forward_demodulation,[status(thm)],[f5,f439])).
% 0.23/0.41 fof(f469,plain,(
% 0.23/0.41 ![X0,X1,X2]: (multiply(divide(X0,X0),X1)=divide(X1,divide(X2,X2)))),
% 0.23/0.41 inference(paramodulation,[status(thm)],[f269,f463])).
% 0.23/0.41 fof(f488,plain,(
% 0.23/0.41 ![X0,X1]: (divide(multiply(X0,X1),X1)=X0)),
% 0.23/0.41 inference(backward_demodulation,[status(thm)],[f489,f313])).
% 0.23/0.41 fof(f489,plain,(
% 0.23/0.41 ![X0,X1]: (X0=divide(X0,divide(X1,X1)))),
% 0.23/0.41 inference(forward_demodulation,[status(thm)],[f269,f469])).
% 0.23/0.41 fof(f528,plain,(
% 0.23/0.41 ![X0,X1,X2,X3,X4,X5]: (divide(multiply(divide(X0,X0),divide(X1,X1)),divide(X2,multiply(divide(multiply(divide(X3,X4),X4),divide(X5,X2)),X5)))=X3)),
% 0.23/0.41 inference(paramodulation,[status(thm)],[f258,f282])).
% 0.23/0.41 fof(f574,plain,(
% 0.23/0.41 ![X0,X1,X2,X3,X4]: (divide(divide(X0,X0),divide(X1,multiply(divide(multiply(divide(X2,X3),X3),divide(X4,X1)),X4)))=X2)),
% 0.23/0.41 inference(forward_demodulation,[status(thm)],[f269,f528])).
% 0.23/0.41 fof(f575,plain,(
% 0.23/0.41 ![X0,X1,X2,X3]: (divide(multiply(divide(multiply(divide(X0,X1),X1),divide(X2,X3)),X2),X3)=X0)),
% 0.23/0.41 inference(forward_demodulation,[status(thm)],[f242,f574])).
% 0.23/0.41 fof(f584,plain,(
% 0.23/0.42 ![X0,X1]: (multiply(divide(X0,X1),X1)=X0)),
% 0.23/0.42 inference(forward_demodulation,[status(thm)],[f336,f575])).
% 0.23/0.42 fof(f641,plain,(
% 0.23/0.42 ![X0,X1]: (divide(divide(X0,X0),X1)=inverse(X1))),
% 0.23/0.42 inference(paramodulation,[status(thm)],[f61,f488])).
% 0.23/0.42 fof(f644,plain,(
% 0.23/0.42 ![X0,X1,X2]: (divide(divide(X0,X0),X1)=divide(X2,multiply(X1,X2)))),
% 0.23/0.42 inference(paramodulation,[status(thm)],[f488,f242])).
% 0.23/0.42 fof(f653,plain,(
% 0.23/0.42 ![X0,X1]: (inverse(X0)=divide(X1,multiply(X0,X1)))),
% 0.23/0.42 inference(forward_demodulation,[status(thm)],[f641,f644])).
% 0.23/0.42 fof(f695,plain,(
% 0.23/0.42 ![X0,X1]: (multiply(divide(X0,X0),X1)=inverse(inverse(X1)))),
% 0.23/0.42 inference(paramodulation,[status(thm)],[f5,f641])).
% 0.23/0.42 fof(f715,plain,(
% 0.23/0.42 ![X0]: (X0=inverse(inverse(X0)))),
% 0.23/0.42 inference(forward_demodulation,[status(thm)],[f269,f695])).
% 0.23/0.42 fof(f732,plain,(
% 0.23/0.42 ![X0,X1]: (multiply(X0,inverse(X1))=divide(X0,X1))),
% 0.23/0.42 inference(paramodulation,[status(thm)],[f715,f5])).
% 0.23/0.42 fof(f737,plain,(
% 0.23/0.42 ![X0,X1,X2,X3]: (divide(divide(X0,X1),multiply(divide(X0,multiply(X2,X1)),X2))=divide(X3,X3))),
% 0.23/0.42 inference(backward_demodulation,[status(thm)],[f732,f289])).
% 0.23/0.42 fof(f748,plain,(
% 0.23/0.42 ![X0,X1]: (multiply(inverse(X0),multiply(X0,X1))=X1)),
% 0.23/0.42 inference(paramodulation,[status(thm)],[f653,f584])).
% 0.23/0.42 fof(f1580,plain,(
% 0.23/0.42 ![X0,X1,X2,X3]: (multiply(divide(X0,X0),multiply(divide(X1,multiply(X2,X3)),X2))=divide(X1,X3))),
% 0.23/0.42 inference(paramodulation,[status(thm)],[f737,f584])).
% 0.23/0.42 fof(f1794,plain,(
% 0.23/0.42 ![X0,X1,X2]: (multiply(divide(X0,multiply(X1,X2)),X1)=divide(X0,X2))),
% 0.23/0.42 inference(forward_demodulation,[status(thm)],[f269,f1580])).
% 0.23/0.42 fof(f2274,plain,(
% 0.23/0.42 ![X0,X1,X2]: (multiply(divide(X0,X1),divide(X1,X2))=divide(X0,X2))),
% 0.23/0.42 inference(paramodulation,[status(thm)],[f584,f1794])).
% 0.23/0.42 fof(f2529,plain,(
% 0.23/0.42 ![X0,X1,X2]: (multiply(divide(X0,X1),multiply(X1,X2))=divide(X0,inverse(X2)))),
% 0.23/0.42 inference(paramodulation,[status(thm)],[f5,f2274])).
% 0.23/0.42 fof(f2567,plain,(
% 0.23/0.42 ![X0,X1,X2]: (multiply(divide(X0,X1),multiply(X1,X2))=multiply(X0,X2))),
% 0.23/0.42 inference(forward_demodulation,[status(thm)],[f5,f2529])).
% 0.23/0.42 fof(f2801,plain,(
% 0.23/0.42 ![X0,X1,X2]: (multiply(divide(X0,inverse(X1)),X2)=multiply(X0,multiply(X1,X2)))),
% 0.23/0.42 inference(paramodulation,[status(thm)],[f748,f2567])).
% 0.23/0.42 fof(f2837,plain,(
% 0.23/0.42 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 0.23/0.42 inference(backward_demodulation,[status(thm)],[f2853,f372])).
% 0.23/0.42 fof(f2853,plain,(
% 0.23/0.42 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.23/0.42 inference(forward_demodulation,[status(thm)],[f5,f2801])).
% 0.23/0.42 fof(f2880,plain,(
% 0.23/0.42 $false),
% 0.23/0.42 inference(trivial_equality_resolution,[status(thm)],[f2837])).
% 0.23/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.23/0.44 % Elapsed time: 0.125767 seconds
% 0.23/0.44 % CPU time: 0.895303 seconds
% 0.23/0.44 % Total memory used: 84.813 MB
% 0.23/0.44 % Net memory used: 83.508 MB
%------------------------------------------------------------------------------