%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP591-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/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 12:36:52 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.55s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP591-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n009.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 20:17:27 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.13/0.55 % Refutation found
% 0.13/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.55 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.55 fof(f1,axiom,(
% 0.13/0.55 (![A,B,C]: (double_divide(inverse(double_divide(double_divide(A,B),inverse(double_divide(A,inverse(C))))),B) = C ))),
% 0.13/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.55 fof(f2,axiom,(
% 0.13/0.55 (![A,B]: (multiply(A,B) = inverse(double_divide(B,A)) ))),
% 0.13/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.55 fof(f3,negated_conjecture,(
% 0.13/0.55 multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
% 0.13/0.55 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.55 fof(f4,plain,(
% 0.13/0.55 ![X0,X1,X2]: (double_divide(inverse(double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(X2))))),X1)=X2)),
% 0.13/0.55 inference(cnf_transformation,[status(thm)],[f1])).
% 0.13/0.55 fof(f5,plain,(
% 0.13/0.55 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X1,X0)))),
% 0.13/0.55 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.55 fof(f6,plain,(
% 0.13/0.55 ~multiply(multiply(a3,b3),c3)=multiply(a3,multiply(b3,c3))),
% 0.13/0.55 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.55 fof(f12,plain,(
% 0.13/0.55 ![X0,X1,X2]: (double_divide(multiply(inverse(double_divide(X0,inverse(X1))),double_divide(X0,X2)),X2)=X1)),
% 0.13/0.55 inference(backward_demodulation,[status(thm)],[f5,f4])).
% 0.13/0.55 fof(f13,plain,(
% 0.13/0.55 ![X0,X1,X2]: (double_divide(multiply(multiply(inverse(X0),X1),double_divide(X1,X2)),X2)=X0)),
% 0.13/0.55 inference(forward_demodulation,[status(thm)],[f5,f12])).
% 0.13/0.55 fof(f15,plain,(
% 0.13/0.55 ![X0,X1,X2,X3]: (double_divide(multiply(multiply(inverse(X0),multiply(multiply(inverse(X1),X2),double_divide(X2,X3))),X1),X3)=X0)),
% 0.13/0.55 inference(paramodulation,[status(thm)],[f13,f13])).
% 0.13/0.55 fof(f16,plain,(
% 0.13/0.55 ![X0,X1,X2]: (multiply(X0,multiply(multiply(inverse(X1),X2),double_divide(X2,X0)))=inverse(X1))),
% 0.13/0.55 inference(paramodulation,[status(thm)],[f13,f5])).
% 0.13/0.55 fof(f18,plain,(
% 0.13/0.55 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(multiply(X1,X2),X3),double_divide(X3,X0)))=inverse(double_divide(X2,X1)))),
% 0.13/0.55 inference(paramodulation,[status(thm)],[f5,f16])).
% 0.13/0.55 fof(f19,plain,(
% 0.13/0.55 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(inverse(X1),multiply(multiply(inverse(X2),X3),double_divide(X3,X0))),X2))=inverse(X1))),
% 0.13/0.55 inference(paramodulation,[status(thm)],[f13,f16])).
% 0.13/0.55 fof(f21,plain,(
% 0.13/0.55 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(multiply(X1,X2),X3),double_divide(X3,X0)))=multiply(X1,X2))),
% 0.13/0.55 inference(forward_demodulation,[status(thm)],[f5,f18])).
% 0.13/0.55 fof(f44,plain,(
% 0.13/0.55 ![X0,X1]: (double_divide(multiply(inverse(X0),X0),inverse(X1))=X1)),
% 0.13/0.55 inference(paramodulation,[status(thm)],[f16,f15])).
% 0.13/0.55 fof(f61,plain,(
% 0.13/0.55 ![X0,X1,X2,X3]: (multiply(inverse(X0),multiply(multiply(multiply(X1,X2),multiply(inverse(X3),X3)),X0))=multiply(X1,X2))),
% 0.13/0.55 inference(paramodulation,[status(thm)],[f44,f21])).
% 0.13/0.55 fof(f62,plain,(
% 0.13/0.55 ![X0,X1,X2]: (multiply(inverse(X0),multiply(multiply(inverse(X1),multiply(inverse(X2),X2)),X0))=inverse(X1))),
% 0.13/0.55 inference(paramodulation,[status(thm)],[f44,f16])).
% 0.13/0.55 fof(f63,plain,(
% 0.13/0.55 ![X0,X1,X2]: (double_divide(multiply(multiply(inverse(X0),multiply(inverse(X1),X1)),X2),inverse(X2))=X0)),
% 0.13/0.55 inference(paramodulation,[status(thm)],[f44,f13])).
% 0.13/0.55 fof(f64,plain,(
% 0.13/0.55 ![X0,X1]: (multiply(inverse(X0),multiply(inverse(X1),X1))=inverse(X0))),
% 0.13/0.55 inference(paramodulation,[status(thm)],[f44,f5])).
% 0.13/0.55 fof(f65,plain,(
% 0.13/0.55 ![X0,X1]: (double_divide(multiply(inverse(X0),X1),inverse(X1))=X0)),
% 0.13/0.55 inference(backward_demodulation,[status(thm)],[f64,f63])).
% 0.13/0.55 fof(f66,plain,(
% 0.13/0.55 ![X0,X1]: (multiply(inverse(X0),multiply(inverse(X1),X0))=inverse(X1))),
% 0.13/0.55 inference(backward_demodulation,[status(thm)],[f64,f62])).
% 0.13/0.55 fof(f71,plain,(
% 0.13/0.55 ![X0,X1,X2]: (double_divide(multiply(multiply(X0,X1),X2),inverse(X2))=double_divide(X1,X0))),
% 0.13/0.55 inference(paramodulation,[status(thm)],[f5,f65])).
% 0.13/0.55 fof(f81,plain,(
% 0.13/0.55 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(inverse(X2),X2))=inverse(double_divide(X1,X0)))),
% 0.13/0.55 inference(paramodulation,[status(thm)],[f5,f64])).
% 0.13/0.55 fof(f91,plain,(
% 0.13/0.55 ![X0,X1,X2]: (multiply(inverse(X0),multiply(multiply(X1,X2),X0))=multiply(X1,X2))),
% 0.13/0.55 inference(backward_demodulation,[status(thm)],[f92,f61])).
% 0.13/0.55 fof(f92,plain,(
% 0.13/0.55 ![X0,X1,X2]: (multiply(multiply(X0,X1),multiply(inverse(X2),X2))=multiply(X0,X1))),
% 0.13/0.56 inference(forward_demodulation,[status(thm)],[f5,f81])).
% 0.13/0.56 fof(f97,plain,(
% 0.13/0.56 ![X0,X1]: (multiply(inverse(multiply(inverse(X0),X1)),inverse(X0))=inverse(X1))),
% 0.13/0.56 inference(paramodulation,[status(thm)],[f66,f66])).
% 0.13/0.56 fof(f133,plain,(
% 0.13/0.56 ![X0,X1,X2,X3,X4]: (double_divide(multiply(X0,X1),inverse(multiply(multiply(multiply(X0,X1),X2),double_divide(X2,multiply(X3,X4)))))=double_divide(X4,X3))),
% 0.13/0.56 inference(paramodulation,[status(thm)],[f21,f71])).
% 0.13/0.56 fof(f166,plain,(
% 0.13/0.56 ![X0,X1,X2]: (double_divide(multiply(X0,X1),inverse(multiply(multiply(X0,X1),X2)))=X2)),
% 0.13/0.56 inference(paramodulation,[status(thm)],[f91,f65])).
% 0.13/0.56 fof(f226,plain,(
% 0.13/0.56 ![X0,X1]: (multiply(multiply(inverse(X0),X0),X1)=X1)),
% 0.13/0.56 inference(paramodulation,[status(thm)],[f44,f166])).
% 0.13/0.56 fof(f235,plain,(
% 0.13/0.56 ![X0,X1,X2,X3,X4]: (double_divide(multiply(X0,X1),inverse(multiply(X2,X3)))=multiply(multiply(multiply(X2,X3),X4),double_divide(X4,multiply(X0,X1))))),
% 0.13/0.56 inference(paramodulation,[status(thm)],[f21,f166])).
% 0.13/0.56 fof(f236,plain,(
% 0.13/0.56 ![X0,X1,X2,X3]: (double_divide(multiply(X0,X1),inverse(inverse(X2)))=multiply(multiply(inverse(X2),X3),double_divide(X3,multiply(X0,X1))))),
% 0.13/0.56 inference(paramodulation,[status(thm)],[f16,f166])).
% 0.13/0.56 fof(f259,plain,(
% 0.13/0.56 ![X0,X1,X2,X3]: (double_divide(multiply(X0,X1),inverse(double_divide(multiply(X2,X3),inverse(multiply(X0,X1)))))=double_divide(X3,X2))),
% 0.13/0.56 inference(backward_demodulation,[status(thm)],[f235,f133])).
% 0.13/0.56 fof(f274,plain,(
% 0.13/0.56 ![X0,X1,X2,X3]: (double_divide(multiply(X0,X1),multiply(inverse(multiply(X0,X1)),multiply(X2,X3)))=double_divide(X3,X2))),
% 0.13/0.56 inference(forward_demodulation,[status(thm)],[f5,f259])).
% 0.13/0.56 fof(f282,plain,(
% 0.13/0.56 ![X0,X1,X2]: (double_divide(X0,X1)=multiply(multiply(inverse(X0),X2),double_divide(X2,X1)))),
% 0.13/0.56 inference(paramodulation,[status(thm)],[f226,f15])).
% 0.13/0.56 fof(f284,plain,(
% 0.13/0.56 ![X0,X1]: (multiply(X0,double_divide(X1,X0))=inverse(X1))),
% 0.13/0.56 inference(paramodulation,[status(thm)],[f226,f16])).
% 0.13/0.56 fof(f285,plain,(
% 0.13/0.56 ![X0,X1]: (double_divide(double_divide(X0,X1),X1)=X0)),
% 0.13/0.56 inference(paramodulation,[status(thm)],[f226,f13])).
% 0.13/0.56 fof(f298,plain,(
% 0.13/0.56 ![X0,X1,X2]: (multiply(inverse(X0),multiply(X1,X0))=multiply(multiply(inverse(X2),X2),X1))),
% 0.13/0.56 inference(paramodulation,[status(thm)],[f226,f91])).
% 0.13/0.56 fof(f311,plain,(
% 0.13/0.56 ![X0,X1,X2]: (double_divide(multiply(X0,X1),inverse(inverse(X2)))=double_divide(X2,multiply(X0,X1)))),
% 0.13/0.56 inference(backward_demodulation,[status(thm)],[f282,f236])).
% 0.13/0.56 fof(f324,plain,(
% 0.13/0.56 ![X0,X1,X2]: (multiply(X0,multiply(multiply(inverse(X1),double_divide(X2,X0)),X2))=inverse(X1))),
% 0.13/0.56 inference(backward_demodulation,[status(thm)],[f282,f19])).
% 0.13/0.56 fof(f333,plain,(
% 0.13/0.56 ![X0,X1]: (multiply(inverse(X0),multiply(X1,X0))=X1)),
% 0.13/0.56 inference(forward_demodulation,[status(thm)],[f226,f298])).
% 0.13/0.56 fof(f344,plain,(
% 0.13/0.56 ![X0,X1]: (double_divide(X0,inverse(X1))=multiply(inverse(X0),X1))),
% 0.13/0.56 inference(paramodulation,[status(thm)],[f65,f285])).
% 0.13/0.56 fof(f361,plain,(
% 0.13/0.56 ![X0,X1]: (double_divide(multiply(inverse(X0),X1),inverse(inverse(X0)))=inverse(X1))),
% 0.13/0.56 inference(backward_demodulation,[status(thm)],[f344,f97])).
% 0.13/0.56 fof(f363,plain,(
% 0.13/0.56 ![X0,X1,X2,X3]: (double_divide(multiply(X0,X1),double_divide(multiply(X0,X1),inverse(multiply(X2,X3))))=double_divide(X3,X2))),
% 0.13/0.56 inference(backward_demodulation,[status(thm)],[f344,f274])).
% 0.13/0.56 fof(f377,plain,(
% 0.13/0.56 ![X0,X1,X2]: (multiply(X0,multiply(double_divide(X1,inverse(double_divide(X2,X0))),X2))=inverse(X1))),
% 0.13/0.56 inference(backward_demodulation,[status(thm)],[f344,f324])).
% 0.13/0.56 fof(f402,plain,(
% 0.13/0.56 ![X0,X1]: (double_divide(X0,inverse(multiply(X1,X0)))=X1)),
% 0.13/0.56 inference(backward_demodulation,[status(thm)],[f344,f333])).
% 0.13/0.56 fof(f443,plain,(
% 0.13/0.56 ![X0,X1]: (double_divide(X0,multiply(inverse(X0),X1))=inverse(X1))),
% 0.13/0.56 inference(forward_demodulation,[status(thm)],[f311,f361])).
% 0.13/0.56 fof(f445,plain,(
% 0.13/0.56 ![X0,X1]: (double_divide(X0,double_divide(X0,inverse(X1)))=inverse(X1))),
% 0.13/0.56 inference(forward_demodulation,[status(thm)],[f344,f443])).
% 0.13/0.56 fof(f457,plain,(
% 0.13/0.56 ![X0,X1]: (inverse(multiply(X0,X1))=double_divide(X1,X0))),
% 0.13/0.56 inference(forward_demodulation,[status(thm)],[f445,f363])).
% 0.13/0.56 fof(f488,plain,(
% 0.13/0.56 ![X0,X1,X2]: (multiply(X0,multiply(double_divide(X1,multiply(X0,X2)),X2))=inverse(X1))),
% 0.13/0.56 inference(forward_demodulation,[status(thm)],[f5,f377])).
% 0.13/0.56 fof(f538,plain,(
% 0.13/0.56 ![X0,X1]: (double_divide(X0,double_divide(X0,X1))=X1)),
% 0.13/0.56 inference(forward_demodulation,[status(thm)],[f457,f402])).
% 0.13/0.56 fof(f594,plain,(
% 0.13/0.56 ![X0,X1]: (double_divide(double_divide(X0,X1),X0)=X1)),
% 0.13/0.56 inference(paramodulation,[status(thm)],[f285,f538])).
% 0.13/0.56 fof(f640,plain,(
% 0.13/0.56 ![X0,X1]: (multiply(X0,X1)=inverse(double_divide(X0,X1)))),
% 0.13/0.56 inference(paramodulation,[status(thm)],[f594,f284])).
% 0.13/0.56 fof(f666,plain,(
% 0.13/0.56 ![X0,X1]: (multiply(X0,X1)=multiply(X1,X0))),
% 0.13/0.56 inference(paramodulation,[status(thm)],[f5,f640])).
% 0.13/0.56 fof(f1456,plain,(
% 0.13/0.56 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=inverse(double_divide(multiply(X0,X2),X1)))),
% 0.13/0.56 inference(paramodulation,[status(thm)],[f594,f488])).
% 0.13/0.56 fof(f1497,plain,(
% 0.13/0.56 ~multiply(a3,multiply(c3,b3))=multiply(a3,multiply(b3,c3))),
% 0.13/0.56 inference(backward_demodulation,[status(thm)],[f1541,f6])).
% 0.13/0.56 fof(f1541,plain,(
% 0.13/0.56 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X2),X1))),
% 0.13/0.56 inference(forward_demodulation,[status(thm)],[f640,f1456])).
% 0.13/0.56 fof(f1745,plain,(
% 0.13/0.56 ~multiply(a3,multiply(b3,c3))=multiply(a3,multiply(b3,c3))),
% 0.13/0.56 inference(paramodulation,[status(thm)],[f666,f1497])).
% 0.13/0.56 fof(f1747,plain,(
% 0.13/0.56 $false),
% 0.13/0.56 inference(trivial_equality_resolution,[status(thm)],[f1745])).
% 0.13/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.67/0.58 % Elapsed time: 0.199678 seconds
% 0.67/0.58 % CPU time: 1.414950 seconds
% 0.67/0.58 % Total memory used: 52.171 MB
% 0.67/0.58 % Net memory used: 50.738 MB
%------------------------------------------------------------------------------