%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP011-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 12:35:26 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP011-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 20 19:58:59 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.37 fof(f1,axiom,(
% 0.09/0.37 (![X,Y,Z]: (multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z)) ))),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f2,axiom,(
% 0.09/0.37 (![X]: (multiply(identity,X) = X ))),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f3,axiom,(
% 0.09/0.37 (![X]: (multiply(inverse(X),X) = identity ))),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f4,hypothesis,(
% 0.09/0.37 multiply(b,c) = multiply(d,c) ),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f5,negated_conjecture,(
% 0.09/0.37 b != d ),
% 0.09/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.37 fof(f6,plain,(
% 0.09/0.37 ![X0,X1,X2]: (multiply(multiply(X0,X1),X2)=multiply(X0,multiply(X1,X2)))),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.37 fof(f7,plain,(
% 0.09/0.37 ![X0]: (multiply(identity,X0)=X0)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.37 fof(f8,plain,(
% 0.09/0.37 ![X0]: (multiply(inverse(X0),X0)=identity)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.37 fof(f9,plain,(
% 0.09/0.37 multiply(b,c)=multiply(d,c)),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.37 fof(f10,plain,(
% 0.09/0.37 ~b=d),
% 0.09/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.37 fof(f12,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(identity,X0)=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f8,f6])).
% 0.09/0.37 fof(f14,plain,(
% 0.09/0.37 ![X0]: (multiply(multiply(b,c),X0)=multiply(d,multiply(c,X0)))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f9,f6])).
% 0.09/0.37 fof(f17,plain,(
% 0.09/0.37 ![X0,X1]: (X0=multiply(inverse(X1),multiply(X1,X0)))),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f7,f12])).
% 0.09/0.37 fof(f18,plain,(
% 0.09/0.37 ![X0]: (multiply(b,multiply(c,X0))=multiply(d,multiply(c,X0)))),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f6,f14])).
% 0.09/0.37 fof(f24,plain,(
% 0.09/0.37 ![X0,X1]: (multiply(X0,X1)=multiply(inverse(inverse(X0)),X1))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f17,f17])).
% 0.09/0.37 fof(f25,plain,(
% 0.09/0.37 ![X0]: (X0=multiply(inverse(inverse(X0)),identity))),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f8,f17])).
% 0.09/0.37 fof(f30,plain,(
% 0.09/0.37 ![X0]: (X0=multiply(X0,identity))),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f24,f25])).
% 0.09/0.37 fof(f59,plain,(
% 0.09/0.37 ![X0]: (multiply(X0,inverse(X0))=identity)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f8,f24])).
% 0.09/0.37 fof(f83,plain,(
% 0.09/0.37 multiply(b,multiply(c,inverse(c)))=multiply(d,identity)),
% 0.09/0.37 inference(paramodulation,[status(thm)],[f59,f18])).
% 0.09/0.37 fof(f90,plain,(
% 0.09/0.37 multiply(b,identity)=multiply(d,identity)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f59,f83])).
% 0.09/0.37 fof(f91,plain,(
% 0.09/0.37 b=multiply(d,identity)),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f30,f90])).
% 0.09/0.37 fof(f92,plain,(
% 0.09/0.37 b=d),
% 0.09/0.37 inference(forward_demodulation,[status(thm)],[f30,f91])).
% 0.09/0.37 fof(f93,plain,(
% 0.09/0.37 $false),
% 0.09/0.37 inference(forward_subsumption_resolution,[status(thm)],[f92,f10])).
% 0.09/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.39 % Elapsed time: 0.025102 seconds
% 0.13/0.39 % CPU time: 0.031625 seconds
% 0.13/0.39 % Total memory used: 856.352 KB
% 0.13/0.39 % Net memory used: 797.520 KB
%------------------------------------------------------------------------------