%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP595-1 : 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 : 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 12:36:52 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.31s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP595-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sun Sep 20 20:17:36 UTC 2026
% 0.03/0.30 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.03/0.31 % Refutation found
% 0.03/0.31 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.31 % SZS output start CNFRefutation for theBenchmark
% 0.03/0.31 fof(f1,axiom,(
% 0.03/0.31 (![A,B,C]: (inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(C,B)))))) = C ))),
% 0.03/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.31 fof(f2,axiom,(
% 0.03/0.31 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.03/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.31 fof(f3,negated_conjecture,(
% 0.03/0.31 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.03/0.31 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.03/0.31 fof(f4,plain,(
% 0.03/0.31 ![X0,X1,X2]: (inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(X2,X1))))))=X2)),
% 0.03/0.31 inference(cnf_transformation,[status(thm)],[f1])).
% 0.03/0.31 fof(f5,plain,(
% 0.03/0.31 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.03/0.31 inference(cnf_transformation,[status(thm)],[f2])).
% 0.03/0.31 fof(f6,plain,(
% 0.03/0.31 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.03/0.31 inference(cnf_transformation,[status(thm)],[f3])).
% 0.03/0.31 fof(f12,plain,(
% 0.03/0.31 ![X0,X1,X2]: (multiply(inverse(double_divide(X0,inverse(double_divide(X1,X2)))),double_divide(X0,X2))=X1)),
% 0.03/0.31 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.03/0.31 fof(f13,plain,(
% 0.03/0.31 ![X0,X1,X2]: (multiply(multiply(inverse(double_divide(X0,X1)),X2),double_divide(X2,X1))=X0)),
% 0.03/0.31 inference(forward_demodulation,[status(thm)],[f5,f12])).
% 0.03/0.31 fof(f14,plain,(
% 0.03/0.31 ![X0,X1,X2]: (multiply(multiply(multiply(X0,X1),X2),double_divide(X2,X0))=X1)),
% 0.03/0.31 inference(forward_demodulation,[status(thm)],[f5,f13])).
% 0.03/0.31 fof(f15,plain,(
% 0.03/0.31 ![X0,X1,X2]: (multiply(X0,double_divide(double_divide(X1,X2),multiply(X2,X0)))=X1)),
% 0.03/0.31 inference(paramodulation,[status(thm)],[f14,f14])).
% 0.03/0.31 fof(f16,plain,(
% 0.03/0.31 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(X1,multiply(multiply(X2,X0),X3)))=double_divide(X3,X2))),
% 0.03/0.31 inference(paramodulation,[status(thm)],[f14,f14])).
% 0.03/0.31 fof(f21,plain,(
% 0.03/0.31 ![X0,X1,X2]: (X0=double_divide(multiply(X1,double_divide(X0,multiply(X2,X1))),X2))),
% 0.03/0.31 inference(paramodulation,[status(thm)],[f15,f16])).
% 0.03/0.31 fof(f37,plain,(
% 0.03/0.31 ![X0,X1,X2]: (X0=double_divide(double_divide(multiply(X1,X0),X2),multiply(X2,X1)))),
% 0.03/0.31 inference(paramodulation,[status(thm)],[f16,f21])).
% 0.03/0.31 fof(f39,plain,(
% 0.03/0.31 ![X0,X1,X2,X3]: (multiply(X0,double_divide(X1,multiply(multiply(X2,X3),X0)))=double_divide(multiply(X3,X1),X2))),
% 0.03/0.31 inference(paramodulation,[status(thm)],[f21,f21])).
% 0.03/0.31 fof(f46,plain,(
% 0.03/0.31 ![X0,X1,X2]: (multiply(X0,multiply(X1,double_divide(X2,multiply(X0,X1))))=inverse(X2))),
% 0.03/0.31 inference(paramodulation,[status(thm)],[f21,f5])).
% 0.03/0.31 fof(f60,plain,(
% 0.03/0.31 ![X0,X1,X2]: (multiply(multiply(X0,X1),double_divide(multiply(X1,X2),X0))=inverse(X2))),
% 0.03/0.31 inference(paramodulation,[status(thm)],[f37,f5])).
% 0.03/0.31 fof(f70,plain,(
% 0.03/0.31 ![X0,X1,X2,X3]: (multiply(inverse(X0),double_divide(multiply(X1,double_divide(X0,multiply(multiply(X2,X3),X1))),X2))=X3)),
% 0.03/0.31 inference(paramodulation,[status(thm)],[f46,f14])).
% 0.03/0.31 fof(f80,plain,(
% 0.03/0.31 ![X0,X1,X2]: (multiply(inverse(X0),double_divide(double_divide(multiply(X1,X0),X2),X2))=X1)),
% 0.03/0.31 inference(forward_demodulation,[status(thm)],[f39,f70])).
% 0.03/0.31 fof(f87,plain,(
% 0.03/0.31 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(multiply(X1,X2),X3)),double_divide(X2,X0))=inverse(double_divide(X3,X1)))),
% 0.03/0.31 inference(paramodulation,[status(thm)],[f14,f60])).
% 0.03/0.31 fof(f102,plain,(
% 0.03/0.31 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(multiply(X1,X2),X3)),double_divide(X2,X0))=multiply(X1,X3))),
% 0.03/0.31 inference(forward_demodulation,[status(thm)],[f5,f87])).
% 0.03/0.31 fof(f107,plain,(
% 0.03/0.31 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(double_divide(multiply(X2,double_divide(X1,X0)),X3),X3))=X2)),
% 0.03/0.31 inference(paramodulation,[status(thm)],[f5,f80])).
% 0.03/0.31 fof(f110,plain,(
% 0.03/0.31 ![X0,X1,X2,X3]: (multiply(inverse(double_divide(X0,X1)),double_divide(double_divide(X2,X3),X3))=multiply(multiply(X1,X2),X0))),
% 0.03/0.31 inference(paramodulation,[status(thm)],[f14,f80])).
% 0.03/0.31 fof(f111,plain,(
% 0.03/0.31 ![X0,X1,X2,X3]: (multiply(inverse(double_divide(multiply(X0,X1),X2)),double_divide(double_divide(inverse(X1),X3),X3))=multiply(X2,X0))),
% 0.03/0.31 inference(paramodulation,[status(thm)],[f60,f80])).
% 0.03/0.31 fof(f130,plain,(
% 0.03/0.31 ![X0,X1,X2]: (multiply(multiply(X0,multiply(X1,double_divide(X2,X0))),X2)=X1)),
% 0.03/0.31 inference(backward_demodulation,[status(thm)],[f131,f107])).
% 0.03/0.31 fof(f131,plain,(
% 0.03/0.31 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),double_divide(double_divide(X2,X3),X3))=multiply(multiply(X0,X2),X1))),
% 0.03/0.31 inference(forward_demodulation,[status(thm)],[f5,f110])).
% 0.03/0.31 fof(f132,plain,(
% 0.03/0.31 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(X1,X2)),double_divide(double_divide(inverse(X2),X3),X3))=multiply(X0,X1))),
% 0.03/0.31 inference(forward_demodulation,[status(thm)],[f5,f111])).
% 0.03/0.31 fof(f134,plain,(
% 0.03/0.31 ![X0,X1,X2]: (multiply(multiply(X0,inverse(X1)),multiply(X2,X1))=multiply(X0,X2))),
% 0.03/0.31 inference(forward_demodulation,[status(thm)],[f131,f132])).
% 0.03/0.31 fof(f166,plain,(
% 0.03/0.31 ![X0,X1,X2,X3]: (multiply(multiply(X0,inverse(double_divide(X1,X2))),X3)=multiply(X0,multiply(multiply(X2,X3),X1)))),
% 0.03/0.31 inference(paramodulation,[status(thm)],[f14,f134])).
% 0.03/0.31 fof(f187,plain,(
% 0.03/0.31 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X1,X2),double_divide(X2,X0)))=X1)),
% 0.03/0.31 inference(backward_demodulation,[status(thm)],[f203,f130])).
% 0.03/0.31 fof(f190,plain,(
% 0.03/0.31 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(multiply(X1,X2),double_divide(X2,X0)),X3))=multiply(X1,X3))),
% 0.03/0.31 inference(backward_demodulation,[status(thm)],[f203,f102])).
% 0.03/0.31 fof(f203,plain,(
% 0.03/0.31 ![X0,X1,X2,X3]: (multiply(multiply(X0,multiply(X1,X2)),X3)=multiply(X0,multiply(multiply(X1,X3),X2)))),
% 0.03/0.31 inference(forward_demodulation,[status(thm)],[f5,f166])).
% 0.03/0.31 fof(f235,plain,(
% 0.03/0.31 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(multiply(X1,X2),double_divide(X2,X0)),double_divide(X3,X1)))=inverse(X3))),
% 0.03/0.31 inference(paramodulation,[status(thm)],[f187,f46])).
% 0.03/0.31 fof(f250,plain,(
% 0.03/0.31 ![X0,X1]: (multiply(X0,double_divide(X1,X0))=inverse(X1))),
% 0.03/0.31 inference(forward_demodulation,[status(thm)],[f190,f235])).
% 0.03/0.31 fof(f361,plain,(
% 0.03/0.31 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=inverse(double_divide(multiply(X1,X2),X0)))),
% 0.03/0.31 inference(paramodulation,[status(thm)],[f37,f250])).
% 0.03/0.31 fof(f388,plain,(
% 0.03/0.31 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 0.03/0.31 inference(backward_demodulation,[status(thm)],[f488,f6])).
% 0.03/0.31 fof(f488,plain,(
% 0.03/0.31 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.03/0.31 inference(forward_demodulation,[status(thm)],[f5,f361])).
% 0.03/0.31 fof(f513,plain,(
% 0.03/0.31 $false),
% 0.03/0.31 inference(trivial_equality_resolution,[status(thm)],[f388])).
% 0.03/0.31 % SZS output end CNFRefutation for theBenchmark.p
% 5.95/1.54 % Elapsed time: 1.031199 seconds
% 5.95/1.54 % CPU time: 0.048646 seconds
% 5.95/1.54 % Total memory used: 3.167 MB
% 5.95/1.54 % Net memory used: 3.151 MB
%------------------------------------------------------------------------------