%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP118-1 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 12:35:40 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP118-1 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:00:37 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.15/0.38 % Refutation found
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.38 fof(f1,axiom,(
% 0.15/0.38 (![X,Y,Z]: (multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))) = Y ))),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f2,negated_conjecture,(
% 0.15/0.38 multiply(multiply(a,b),c) != multiply(a,multiply(b,c)) ),
% 0.15/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.15/0.38 fof(f3,plain,(
% 0.15/0.38 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(identity,multiply(X2,X2))))=X1)),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.15/0.38 fof(f4,plain,(
% 0.15/0.38 ~multiply(multiply(a,b),c)=multiply(a,multiply(b,c))),
% 0.15/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.38 fof(f13,plain,(
% 0.15/0.38 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(multiply(identity,X2),multiply(identity,X2))))),X2))=X1)),
% 0.15/0.38 inference(paramodulation,[status(thm)],[f3,f3])).
% 0.15/0.38 fof(f15,plain,(
% 0.15/0.38 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),multiply(identity,X2)))),
% 0.15/0.38 inference(paramodulation,[status(thm)],[f3,f13])).
% 0.15/0.38 fof(f18,plain,(
% 0.15/0.38 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(multiply(identity,X2),multiply(identity,X2))))=X1)),
% 0.15/0.38 inference(paramodulation,[status(thm)],[f3,f13])).
% 0.15/0.38 fof(f26,plain,(
% 0.15/0.38 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(identity,multiply(X2,X2))))),X2))=X1)),
% 0.15/0.38 inference(backward_demodulation,[status(thm)],[f15,f13])).
% 0.15/0.38 fof(f37,plain,(
% 0.15/0.38 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(identity,multiply(X2,X2))))=X1)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f15,f18])).
% 0.15/0.38 fof(f38,plain,(
% 0.15/0.38 ![X0,X1,X2]: (multiply(X0,multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2))))=X1)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f15,f37])).
% 0.15/0.38 fof(f64,plain,(
% 0.15/0.38 ![X0,X1,X2]: (multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,multiply(identity,multiply(X2,X2))))),X2))=X1)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f15,f26])).
% 0.15/0.38 fof(f70,plain,(
% 0.15/0.38 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),multiply(multiply(identity,X2),X3))=multiply(multiply(X0,multiply(X1,X2)),multiply(identity,X3)))),
% 0.15/0.38 inference(paramodulation,[status(thm)],[f15,f15])).
% 0.15/0.38 fof(f72,plain,(
% 0.15/0.38 ![X0,X1,X2,X3]: (multiply(multiply(X0,X1),multiply(multiply(identity,X2),X3))=multiply(X0,multiply(multiply(X1,X2),X3)))),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f15,f70])).
% 0.15/0.38 fof(f77,plain,(
% 0.15/0.38 ![X0,X1,X2,X3]: (multiply(X0,multiply(multiply(X0,multiply(X0,multiply(X1,multiply(X2,multiply(X3,X3))))),X3))=multiply(X1,X2))),
% 0.15/0.38 inference(paramodulation,[status(thm)],[f15,f64])).
% 0.15/0.38 fof(f83,plain,(
% 0.15/0.38 ![X0]: (multiply(X0,identity)=X0)),
% 0.15/0.38 inference(backward_demodulation,[status(thm)],[f77,f64])).
% 0.15/0.38 fof(f88,plain,(
% 0.15/0.38 ![X0,X1]: (multiply(X0,multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity))))=X1)),
% 0.15/0.38 inference(paramodulation,[status(thm)],[f15,f38])).
% 0.15/0.38 fof(f89,plain,(
% 0.15/0.38 ![X0,X1,X2]: (multiply(X0,multiply(X0,multiply(multiply(X0,multiply(X1,X2)),multiply(multiply(identity,X2),multiply(identity,X2)))))=X1)),
% 0.15/0.38 inference(paramodulation,[status(thm)],[f15,f38])).
% 0.15/0.38 fof(f94,plain,(
% 0.15/0.38 ![X0,X1]: (multiply(X0,multiply(X0,multiply(multiply(X0,X1),multiply(X1,X1))))=identity)),
% 0.15/0.38 inference(paramodulation,[status(thm)],[f83,f38])).
% 0.15/0.38 fof(f99,plain,(
% 0.15/0.38 ![X0,X1]: (multiply(X0,multiply(X0,multiply(X0,multiply(X1,identity))))=X1)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f15,f88])).
% 0.15/0.38 fof(f100,plain,(
% 0.15/0.38 ![X0,X1]: (multiply(X0,multiply(X0,multiply(X0,X1)))=X1)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f83,f99])).
% 0.15/0.38 fof(f101,plain,(
% 0.15/0.38 ![X0,X1,X2]: (multiply(X0,multiply(X0,multiply(X0,multiply(multiply(multiply(X1,X2),X2),multiply(identity,X2)))))=X1)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f72,f89])).
% 0.15/0.38 fof(f102,plain,(
% 0.15/0.38 ![X0,X1]: (multiply(multiply(multiply(X0,X1),X1),multiply(identity,X1))=X0)),
% 0.15/0.38 inference(forward_demodulation,[status(thm)],[f100,f101])).
% 0.15/0.39 fof(f110,plain,(
% 0.15/0.39 ![X0,X1]: (multiply(multiply(X0,X1),multiply(X1,X1))=X0)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f15,f102])).
% 0.15/0.39 fof(f117,plain,(
% 0.15/0.39 ![X0]: (multiply(X0,multiply(X0,X0))=identity)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f110,f94])).
% 0.15/0.39 fof(f159,plain,(
% 0.15/0.39 ![X0]: (multiply(identity,multiply(multiply(X0,X0),multiply(X0,X0)))=X0)),
% 0.15/0.39 inference(paramodulation,[status(thm)],[f117,f110])).
% 0.15/0.39 fof(f172,plain,(
% 0.15/0.39 ![X0,X1,X2]: (multiply(X0,multiply(X1,X2))=multiply(multiply(X0,X1),X2))),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f181,f15])).
% 0.15/0.39 fof(f181,plain,(
% 0.15/0.39 ![X0]: (multiply(identity,X0)=X0)),
% 0.15/0.39 inference(forward_demodulation,[status(thm)],[f110,f159])).
% 0.15/0.39 fof(f188,plain,(
% 0.15/0.39 ~multiply(a,multiply(b,c))=multiply(a,multiply(b,c))),
% 0.15/0.39 inference(backward_demodulation,[status(thm)],[f172,f4])).
% 0.15/0.39 fof(f217,plain,(
% 0.15/0.39 $false),
% 0.15/0.39 inference(trivial_equality_resolution,[status(thm)],[f188])).
% 0.15/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.40 % Elapsed time: 0.030886 seconds
% 0.15/0.40 % CPU time: 0.125079 seconds
% 0.15/0.40 % Total memory used: 8.198 MB
% 0.15/0.40 % Net memory used: 8.138 MB
%------------------------------------------------------------------------------