%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : BOO067-1 : 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 : n014.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 12:06:50 PM UTC 2026
% Result : Unsatisfiable 57.06s 7.66s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : BOO067-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n014.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 : Mon Sep 21 13:51:04 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 57.06/7.66 % Refutation found
% 57.06/7.66 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 57.06/7.66 % SZS output start CNFRefutation for theBenchmark
% 57.06/7.66 fof(f1,axiom,(
% 57.06/7.66 (![A,B,C,D,E,F,G]: (multiply(multiply(A,inverse(A),B),inverse(multiply(multiply(C,D,E),F,multiply(C,D,G))),multiply(D,multiply(G,F,E),C)) = B ))),
% 57.06/7.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.06/7.66 fof(f2,negated_conjecture,(
% 57.06/7.66 multiply(multiply(d,e,a),b,multiply(d,e,c)) != multiply(d,e,multiply(a,b,c)) ),
% 57.06/7.66 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 57.06/7.66 fof(f3,plain,(
% 57.06/7.66 ![X0,X1,X2,X3,X4,X5,X6]: (multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,X4),X5,multiply(X2,X3,X6))),multiply(X3,multiply(X6,X5,X4),X2))=X1)),
% 57.06/7.66 inference(cnf_transformation,[status(thm)],[f1])).
% 57.06/7.66 fof(f4,plain,(
% 57.06/7.66 ~multiply(multiply(d,e,a),b,multiply(d,e,c))=multiply(d,e,multiply(a,b,c))),
% 57.06/7.66 inference(cnf_transformation,[status(thm)],[f2])).
% 57.06/7.66 fof(f11,plain,(
% 57.06/7.66 ![X0,X1,X2,X3,X4,X5,X6,X7,X8]: (multiply(multiply(X0,X1,X2),inverse(multiply(multiply(X3,X4,X5),X6,multiply(X3,X4,X7))),multiply(X4,multiply(X7,X6,X5),X3))=multiply(X1,multiply(X2,inverse(multiply(X0,X1,X8)),X8),X0))),
% 57.06/7.66 inference(paramodulation,[status(thm)],[f3,f3])).
% 57.06/7.66 fof(f14,plain,(
% 57.06/7.66 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10]: (multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,X3,multiply(X4,multiply(X5,X6,X7),X8)),inverse(multiply(multiply(X8,X4,X7),X6,multiply(X8,X4,X5))),multiply(X2,X3,multiply(X9,inverse(X9),X10)))),multiply(X3,X10,X2))=X1)),
% 57.06/7.66 inference(paramodulation,[status(thm)],[f3,f3])).
% 57.06/7.66 fof(f15,plain,(
% 57.06/7.66 ![X0,X1,X2]: (X0=multiply(inverse(X1),multiply(X0,inverse(multiply(X1,inverse(X1),X2)),X2),X1))),
% 57.06/7.66 inference(paramodulation,[status(thm)],[f3,f11])).
% 57.06/7.66 fof(f38,plain,(
% 57.06/7.66 ![X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10]: (multiply(multiply(X0,multiply(multiply(X1,X2,X3),inverse(multiply(multiply(X1,X2,X4),X0,X5)),X5),multiply(X1,X2,X4)),inverse(multiply(multiply(X6,X7,X8),X9,multiply(X6,X7,X10))),multiply(X7,multiply(X10,X9,X8),X6))=multiply(X2,multiply(X3,X0,X4),X1))),
% 57.06/7.66 inference(paramodulation,[status(thm)],[f11,f3])).
% 57.06/7.66 fof(f52,plain,(
% 57.06/7.66 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,inverse(X0),X1),inverse(multiply(multiply(X2,inverse(X2),X3),inverse(multiply(X2,inverse(X2),X3)),multiply(X2,inverse(X2),X4))),X4)=X1)),
% 57.06/7.66 inference(paramodulation,[status(thm)],[f15,f3])).
% 57.06/7.66 fof(f1241,plain,(
% 57.06/7.66 ![X0,X1,X2,X3,X4,X5,X6]: (multiply(multiply(X0,inverse(X0),X1),inverse(multiply(inverse(X2),multiply(multiply(X3,inverse(X3),multiply(X4,inverse(X4),X5)),inverse(multiply(X2,inverse(X2),X6)),X6),X2)),multiply(inverse(X3),X5,X3))=X1)),
% 57.06/7.66 inference(paramodulation,[status(thm)],[f52,f14])).
% 57.06/7.66 fof(f1413,plain,(
% 57.06/7.66 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),multiply(X3,inverse(X3),X4))),multiply(inverse(X2),X4,X2))=X1)),
% 57.06/7.66 inference(forward_demodulation,[status(thm)],[f15,f1241])).
% 57.06/7.66 fof(f1442,plain,(
% 57.06/7.66 ![X0,X1,X2,X3,X4,X5]: (multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),multiply(X3,inverse(X3),X4))),multiply(inverse(X2),X4,X2))=multiply(inverse(X5),X1,X5))),
% 57.06/7.66 inference(paramodulation,[status(thm)],[f1413,f1413])).
% 57.06/7.66 fof(f1543,plain,(
% 57.06/7.66 ![X0,X1]: (X0=multiply(inverse(X1),X0,X1))),
% 57.06/7.66 inference(forward_demodulation,[status(thm)],[f1413,f1442])).
% 57.06/7.66 fof(f1592,plain,(
% 57.06/7.66 ![X0,X1,X2]: (X0=multiply(X0,inverse(multiply(X1,inverse(X1),X2)),X2))),
% 57.06/7.66 inference(backward_demodulation,[status(thm)],[f1543,f15])).
% 57.06/7.66 fof(f2191,plain,(
% 57.06/7.66 ![X0,X1]: (inverse(X0)=inverse(multiply(X1,inverse(X1),X0)))),
% 57.06/7.66 inference(paramodulation,[status(thm)],[f1543,f1592])).
% 57.06/7.66 fof(f2351,plain,(
% 57.06/7.66 ![X0,X1,X2,X3]: (multiply(multiply(X0,inverse(X0),X1),inverse(multiply(X2,inverse(X2),X3)),X3)=X1)),
% 57.06/7.66 inference(backward_demodulation,[status(thm)],[f2191,f52])).
% 57.06/7.66 fof(f2355,plain,(
% 57.06/7.66 ![X0,X1]: (X0=multiply(X0,inverse(X1),X1))),
% 57.06/7.66 inference(backward_demodulation,[status(thm)],[f2191,f1592])).
% 57.06/7.66 fof(f2392,plain,(
% 57.06/7.66 ![X0,X1,X2]: (multiply(multiply(X0,inverse(X0),X1),inverse(X2),X2)=X1)),
% 57.06/7.66 inference(forward_demodulation,[status(thm)],[f2191,f2351])).
% 57.06/7.66 fof(f4064,plain,(
% 57.06/7.66 ![X0,X1,X2,X3,X4,X5]: (multiply(X0,inverse(multiply(multiply(X1,X2,X3),X4,multiply(X1,X2,X5))),multiply(X2,multiply(X5,X4,X3),X1))=X0)),
% 57.06/7.70 inference(backward_demodulation,[status(thm)],[f4065,f3])).
% 57.06/7.70 fof(f4065,plain,(
% 57.06/7.70 ![X0,X1]: (multiply(X0,inverse(X0),X1)=X1)),
% 57.06/7.70 inference(forward_demodulation,[status(thm)],[f2355,f2392])).
% 57.06/7.70 fof(f4067,plain,(
% 57.06/7.70 ![X0]: (inverse(inverse(X0))=X0)),
% 57.06/7.70 inference(paramodulation,[status(thm)],[f1543,f4065])).
% 57.06/7.70 fof(f4234,plain,(
% 57.06/7.70 ![X0,X1]: (multiply(inverse(X0),X0,X1)=X1)),
% 57.06/7.70 inference(paramodulation,[status(thm)],[f4067,f4065])).
% 57.06/7.70 fof(f4236,plain,(
% 57.06/7.70 ![X0,X1]: (X0=multiply(X1,X0,inverse(X1)))),
% 57.06/7.70 inference(paramodulation,[status(thm)],[f4067,f1543])).
% 57.06/7.70 fof(f4239,plain,(
% 57.06/7.70 ![X0,X1,X2,X3]: (multiply(X0,X1,X2)=multiply(X1,multiply(X2,inverse(multiply(X0,X1,X3)),X3),X0))),
% 57.06/7.70 inference(backward_demodulation,[status(thm)],[f4064,f11])).
% 57.06/7.70 fof(f4252,plain,(
% 57.06/7.70 ![X0,X1,X2,X3,X4]: (multiply(X0,inverse(multiply(X1,X2,multiply(X3,inverse(X3),X4))),multiply(inverse(X3),multiply(X4,X2,X1),X3))=X0)),
% 57.06/7.70 inference(paramodulation,[status(thm)],[f4065,f4064])).
% 57.06/7.70 fof(f4291,plain,(
% 57.06/7.70 ![X0,X1,X2,X3,X4]: (multiply(X0,inverse(multiply(X1,X2,X3)),multiply(inverse(X4),multiply(X3,X2,X1),X4))=X0)),
% 57.06/7.70 inference(forward_demodulation,[status(thm)],[f4065,f4252])).
% 57.06/7.70 fof(f4292,plain,(
% 57.06/7.70 ![X0,X1,X2,X3]: (multiply(X0,inverse(multiply(X1,X2,X3)),multiply(X3,X2,X1))=X0)),
% 57.06/7.70 inference(forward_demodulation,[status(thm)],[f1543,f4291])).
% 57.06/7.70 fof(f4623,plain,(
% 57.06/7.70 ![X0,X1,X2]: (multiply(X0,X1,X2)=inverse(inverse(multiply(X2,X1,X0))))),
% 57.06/7.70 inference(paramodulation,[status(thm)],[f4234,f4292])).
% 57.06/7.70 fof(f4680,plain,(
% 57.06/7.70 ![X0,X1,X2]: (multiply(X0,X1,X2)=multiply(X2,X1,X0))),
% 57.06/7.70 inference(forward_demodulation,[status(thm)],[f4067,f4623])).
% 57.06/7.70 fof(f5729,plain,(
% 57.06/7.70 ![X0,X1,X2]: (multiply(X0,X1,inverse(inverse(multiply(X0,X1,X2))))=multiply(X1,X2,X0))),
% 57.06/7.70 inference(paramodulation,[status(thm)],[f4234,f4239])).
% 57.06/7.70 fof(f5804,plain,(
% 57.06/7.70 ![X0,X1,X2]: (multiply(X0,X1,multiply(X0,X1,X2))=multiply(X1,X2,X0))),
% 57.06/7.70 inference(forward_demodulation,[status(thm)],[f4067,f5729])).
% 57.06/7.70 fof(f5852,plain,(
% 57.06/7.70 ![X0,X1]: (multiply(X0,X1,X1)=multiply(X1,inverse(X0),X0))),
% 57.06/7.70 inference(paramodulation,[status(thm)],[f4236,f5804])).
% 57.06/7.70 fof(f5902,plain,(
% 57.06/7.70 ![X0,X1]: (multiply(X0,X1,X1)=X1)),
% 57.06/7.70 inference(forward_demodulation,[status(thm)],[f2355,f5852])).
% 57.06/7.70 fof(f5948,plain,(
% 57.06/7.70 ![X0,X1,X2]: (multiply(X0,X1,X2)=multiply(X1,multiply(X2,inverse(X1),X1),X0))),
% 57.06/7.70 inference(paramodulation,[status(thm)],[f5902,f4239])).
% 57.06/7.70 fof(f5980,plain,(
% 57.06/7.70 ![X0,X1,X2]: (multiply(X0,X1,X2)=multiply(X1,X2,X0))),
% 57.06/7.70 inference(forward_demodulation,[status(thm)],[f2355,f5948])).
% 57.06/7.70 fof(f14148,plain,(
% 57.06/7.70 ![X0,X1,X2,X3,X4,X5]: (multiply(X0,multiply(multiply(X1,X2,X3),inverse(multiply(multiply(X1,X2,X4),X0,X5)),X5),multiply(X1,X2,X4))=multiply(X2,multiply(X3,X0,X4),X1))),
% 57.06/7.70 inference(forward_demodulation,[status(thm)],[f4064,f38])).
% 57.06/7.70 fof(f14149,plain,(
% 57.06/7.70 ~multiply(e,multiply(c,b,a),d)=multiply(d,e,multiply(a,b,c))),
% 57.06/7.70 inference(backward_demodulation,[status(thm)],[f14157,f4])).
% 57.06/7.70 fof(f14157,plain,(
% 57.06/7.70 ![X0,X1,X2,X3,X4]: (multiply(multiply(X0,X1,X2),X3,multiply(X0,X1,X4))=multiply(X1,multiply(X4,X3,X2),X0))),
% 57.06/7.70 inference(forward_demodulation,[status(thm)],[f4239,f14148])).
% 57.06/7.70 fof(f14450,plain,(
% 57.06/7.70 ~multiply(e,multiply(a,b,c),d)=multiply(d,e,multiply(a,b,c))),
% 57.06/7.70 inference(paramodulation,[status(thm)],[f4680,f14149])).
% 57.06/7.70 fof(f14452,plain,(
% 57.06/7.70 $false),
% 57.06/7.70 inference(forward_subsumption_resolution,[status(thm)],[f14450,f5980])).
% 57.06/7.70 % SZS output end CNFRefutation for theBenchmark.p
% 68.46/31.91 % Elapsed time: 31.336591 seconds
% 68.46/31.91 % CPU time: 165.437578 seconds
% 68.46/31.91 % Total memory used: 72.190 GB
% 68.46/31.91 % Net memory used: 72.178 GB
%------------------------------------------------------------------------------