%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP665-12 : 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 0.08s 5.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP665-12 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/5.36 % Computer : n003.cluster.edu
% 0.08/5.36 % Model : x86_64 x86_64
% 0.08/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.36 % Memory : 8046.5625MB
% 0.08/5.36 % OS : Linux 6.8.0-71-generic
% 0.08/5.36 % CPULimit : 300
% 0.08/5.36 % WCLimit : 300
% 0.08/5.36 % DateTime : Sun Sep 20 20:32:21 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 % Drodi V4.1.1
% 0.08/5.38 % Refutation found
% 0.08/5.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/5.38 % SZS output start CNFRefutation for theBenchmark
% 0.08/5.38 fof(f2,axiom,(
% 0.08/5.38 (![A,B]: (ld(A,mult(A,B)) = B ))),
% 0.08/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.38 fof(f3,axiom,(
% 0.08/5.38 (![A,B]: (mult(rd(A,B),B) = A ))),
% 0.08/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.38 fof(f7,axiom,(
% 0.08/5.38 (![A,B,C]: (mult(A,mult(B,C)) = mult(rd(mult(A,B),A),mult(A,C)) ))),
% 0.08/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.38 fof(f9,axiom,(
% 0.08/5.38 (![A]: (mult(op_c,A) = mult(A,op_c) ))),
% 0.08/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.38 fof(f10,negated_conjecture,(
% 0.08/5.38 mult(mult(x0,x1),op_c) != mult(x0,mult(x1,op_c)) ),
% 0.08/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.08/5.38 fof(f12,plain,(
% 0.08/5.38 ![X0,X1]: (ld(X0,mult(X0,X1))=X1)),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f2])).
% 0.08/5.38 fof(f13,plain,(
% 0.08/5.38 ![X0,X1]: (mult(rd(X0,X1),X1)=X0)),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/5.38 fof(f17,plain,(
% 0.08/5.38 ![X0,X1,X2]: (mult(X0,mult(X1,X2))=mult(rd(mult(X0,X1),X0),mult(X0,X2)))),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.08/5.38 fof(f19,plain,(
% 0.08/5.38 ![X0]: (mult(op_c,X0)=mult(X0,op_c))),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f9])).
% 0.08/5.38 fof(f20,plain,(
% 0.08/5.38 ~mult(mult(x0,x1),op_c)=mult(x0,mult(x1,op_c))),
% 0.08/5.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.08/5.38 fof(f28,plain,(
% 0.08/5.38 ~mult(op_c,mult(x0,x1))=mult(x0,mult(x1,op_c))),
% 0.08/5.38 inference(paramodulation,[status(thm)],[f19,f20])).
% 0.08/5.38 fof(f36,plain,(
% 0.08/5.38 ![X0]: (ld(op_c,mult(X0,op_c))=X0)),
% 0.08/5.38 inference(paramodulation,[status(thm)],[f19,f12])).
% 0.08/5.38 fof(f71,plain,(
% 0.08/5.38 ![X0]: (ld(op_c,X0)=rd(X0,op_c))),
% 0.08/5.38 inference(paramodulation,[status(thm)],[f13,f36])).
% 0.08/5.38 fof(f89,plain,(
% 0.08/5.38 ![X0,X1]: (mult(op_c,mult(X0,X1))=mult(rd(mult(op_c,X0),op_c),mult(X1,op_c)))),
% 0.08/5.38 inference(paramodulation,[status(thm)],[f19,f17])).
% 0.08/5.38 fof(f107,plain,(
% 0.08/5.38 ![X0,X1]: (mult(op_c,mult(X0,X1))=mult(ld(op_c,mult(op_c,X0)),mult(X1,op_c)))),
% 0.08/5.38 inference(forward_demodulation,[status(thm)],[f71,f89])).
% 0.08/5.38 fof(f109,plain,(
% 0.08/5.38 ![X0,X1]: (mult(op_c,mult(X0,X1))=mult(X0,mult(X1,op_c)))),
% 0.08/5.38 inference(forward_demodulation,[status(thm)],[f12,f107])).
% 0.08/5.38 fof(f110,plain,(
% 0.08/5.38 $false),
% 0.08/5.38 inference(backward_subsumption_resolution,[status(thm)],[f28,f109])).
% 0.08/5.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/5.39 % Elapsed time: 0.023268 seconds
% 0.08/5.39 % CPU time: 0.043248 seconds
% 0.08/5.39 % Total memory used: 1.453 MB
% 0.08/5.39 % Net memory used: 1.433 MB
%------------------------------------------------------------------------------