%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP665-11 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 12:37:07 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP665-11 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n003.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 20 20:32:30 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 % Drodi V4.1.1
% 0.11/0.38 % Refutation found
% 0.11/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.38 fof(f1,axiom,(
% 0.11/0.38 (![A,B]: (mult(A,ld(A,B)) = B ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f2,axiom,(
% 0.11/0.38 (![A,B]: (ld(A,mult(A,B)) = B ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f4,axiom,(
% 0.11/0.38 (![A,B]: (rd(mult(A,B),B) = A ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f5,axiom,(
% 0.11/0.38 (![A]: (mult(A,unit) = A ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f6,axiom,(
% 0.11/0.38 (![A]: (mult(unit,A) = A ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f7,axiom,(
% 0.11/0.38 (![A,B,C]: (mult(A,mult(B,C)) = mult(rd(mult(A,B),A),mult(A,C)) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f8,axiom,(
% 0.11/0.38 (![A,B,C]: (mult(mult(A,B),C) = mult(mult(A,C),ld(C,mult(B,C))) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f9,axiom,(
% 0.11/0.38 (![A]: (mult(op_c,A) = mult(A,op_c) ))),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f10,negated_conjecture,(
% 0.11/0.38 mult(mult(x0,op_c),x1) != mult(x0,mult(op_c,x1)) ),
% 0.11/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.38 fof(f11,plain,(
% 0.11/0.38 ![X0,X1]: (mult(X0,ld(X0,X1))=X1)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f1])).
% 0.11/0.38 fof(f12,plain,(
% 0.11/0.38 ![X0,X1]: (ld(X0,mult(X0,X1))=X1)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.11/0.38 fof(f14,plain,(
% 0.11/0.38 ![X0,X1]: (rd(mult(X0,X1),X1)=X0)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.38 fof(f15,plain,(
% 0.11/0.38 ![X0]: (mult(X0,unit)=X0)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.38 fof(f16,plain,(
% 0.11/0.38 ![X0]: (mult(unit,X0)=X0)),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f6])).
% 0.11/0.38 fof(f17,plain,(
% 0.11/0.38 ![X0,X1,X2]: (mult(X0,mult(X1,X2))=mult(rd(mult(X0,X1),X0),mult(X0,X2)))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.38 fof(f18,plain,(
% 0.11/0.38 ![X0,X1,X2]: (mult(mult(X0,X1),X2)=mult(mult(X0,X2),ld(X2,mult(X1,X2))))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.38 fof(f19,plain,(
% 0.11/0.38 ![X0]: (mult(op_c,X0)=mult(X0,op_c))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.11/0.38 fof(f20,plain,(
% 0.11/0.38 ~mult(mult(x0,op_c),x1)=mult(x0,mult(op_c,x1))),
% 0.11/0.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.38 fof(f32,plain,(
% 0.11/0.38 ![X0]: (ld(unit,X0)=X0)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f16,f11])).
% 0.11/0.38 fof(f35,plain,(
% 0.11/0.38 ![X0]: (ld(op_c,mult(X0,op_c))=X0)),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f19,f12])).
% 0.11/0.38 fof(f62,plain,(
% 0.11/0.38 ![X0,X1]: (mult(op_c,mult(X0,X1))=mult(rd(mult(X0,op_c),op_c),mult(op_c,X1)))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f19,f17])).
% 0.11/0.38 fof(f77,plain,(
% 0.11/0.38 ![X0,X1]: (mult(op_c,mult(X0,X1))=mult(X0,mult(op_c,X1)))),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f14,f62])).
% 0.11/0.38 fof(f104,plain,(
% 0.11/0.38 ![X0,X1]: (mult(mult(X0,X1),op_c)=mult(mult(op_c,X0),ld(op_c,mult(X1,op_c))))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f19,f18])).
% 0.11/0.38 fof(f119,plain,(
% 0.11/0.38 ![X0,X1]: (mult(mult(X0,X1),op_c)=mult(mult(op_c,X0),X1))),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f35,f104])).
% 0.11/0.38 fof(f150,plain,(
% 0.11/0.38 ![X0,X1]: (mult(op_c,mult(X0,X1))=mult(mult(op_c,X0),X1))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f19,f119])).
% 0.11/0.38 fof(f174,plain,(
% 0.11/0.38 ![X0,X1,X2]: (mult(mult(mult(op_c,X0),X1),X2)=mult(mult(mult(X0,X2),op_c),ld(X2,mult(X1,X2))))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f119,f18])).
% 0.11/0.38 fof(f208,plain,(
% 0.11/0.38 ![X0,X1,X2]: (mult(mult(op_c,mult(X0,X1)),X2)=mult(mult(mult(X0,X2),op_c),ld(X2,mult(X1,X2))))),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f150,f174])).
% 0.11/0.38 fof(f209,plain,(
% 0.11/0.38 ![X0,X1,X2]: (mult(op_c,mult(mult(X0,X1),X2))=mult(mult(mult(X0,X2),op_c),ld(X2,mult(X1,X2))))),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f150,f208])).
% 0.11/0.38 fof(f221,plain,(
% 0.11/0.38 ![X0,X1]: (mult(op_c,mult(mult(X0,X1),unit))=mult(mult(mult(X0,unit),op_c),mult(X1,unit)))),
% 0.11/0.38 inference(paramodulation,[status(thm)],[f32,f209])).
% 0.11/0.38 fof(f259,plain,(
% 0.11/0.38 ![X0,X1]: (mult(op_c,mult(X0,X1))=mult(mult(mult(X0,unit),op_c),mult(X1,unit)))),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f15,f221])).
% 0.11/0.38 fof(f260,plain,(
% 0.11/0.38 ![X0,X1]: (mult(op_c,mult(X0,X1))=mult(mult(X0,op_c),mult(X1,unit)))),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f15,f259])).
% 0.11/0.38 fof(f261,plain,(
% 0.11/0.38 ~mult(op_c,mult(x0,x1))=mult(x0,mult(op_c,x1))),
% 0.11/0.38 inference(backward_demodulation,[status(thm)],[f266,f20])).
% 0.11/0.38 fof(f266,plain,(
% 0.11/0.38 ![X0,X1]: (mult(op_c,mult(X0,X1))=mult(mult(X0,op_c),X1))),
% 0.11/0.38 inference(forward_demodulation,[status(thm)],[f15,f260])).
% 0.11/0.38 fof(f295,plain,(
% 0.11/0.38 $false),
% 0.11/0.38 inference(forward_subsumption_resolution,[status(thm)],[f261,f77])).
% 0.11/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.40 % Elapsed time: 0.028055 seconds
% 0.11/0.40 % CPU time: 0.082127 seconds
% 0.11/0.40 % Total memory used: 3.615 MB
% 0.11/0.40 % Net memory used: 3.560 MB
%------------------------------------------------------------------------------