%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP669-1 : TPTP v9.3.1. Released v4.0.0.
% 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 12:37:08 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.63s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP669-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n001.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 20 20:37:12 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 0.11/0.63 % Refutation found
% 0.11/0.63 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.63 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.63 fof(f3,axiom,(
% 0.11/0.63 (![A,B]: (mult(rd(A,B),B) = A ))),
% 0.11/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.63 fof(f4,axiom,(
% 0.11/0.63 (![A,B]: (rd(mult(A,B),B) = A ))),
% 0.11/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.63 fof(f5,axiom,(
% 0.11/0.63 (![A]: (mult(A,unit) = A ))),
% 0.11/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.63 fof(f7,axiom,(
% 0.11/0.63 (![A,B,C]: (mult(A,mult(B,mult(A,C))) = mult(mult(mult(A,B),A),C) ))),
% 0.11/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.63 fof(f8,axiom,(
% 0.11/0.63 (![A,B,C]: (mult(A,mult(B,mult(C,B))) = mult(mult(mult(A,B),C),B) ))),
% 0.11/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.63 fof(f10,axiom,(
% 0.11/0.63 (![A,B,C]: (mult(mult(A,B),mult(C,A)) = mult(A,mult(mult(B,C),A)) ))),
% 0.11/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.63 fof(f11,negated_conjecture,(
% 0.11/0.63 mult(mult(a,b),mult(c,mult(a,b))) != mult(mult(mult(a,mult(b,c)),a),b) ),
% 0.11/0.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.63 fof(f14,plain,(
% 0.11/0.63 ![X0,X1]: (mult(rd(X0,X1),X1)=X0)),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.63 fof(f15,plain,(
% 0.11/0.63 ![X0,X1]: (rd(mult(X0,X1),X1)=X0)),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.63 fof(f16,plain,(
% 0.11/0.63 ![X0]: (mult(X0,unit)=X0)),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f5])).
% 0.11/0.63 fof(f18,plain,(
% 0.11/0.63 ![X0,X1,X2]: (mult(X0,mult(X1,mult(X0,X2)))=mult(mult(mult(X0,X1),X0),X2))),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f7])).
% 0.11/0.63 fof(f19,plain,(
% 0.11/0.63 ![X0,X1,X2]: (mult(X0,mult(X1,mult(X2,X1)))=mult(mult(mult(X0,X1),X2),X1))),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f8])).
% 0.11/0.63 fof(f21,plain,(
% 0.11/0.63 ![X0,X1,X2]: (mult(mult(X0,X1),mult(X2,X0))=mult(X0,mult(mult(X1,X2),X0)))),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f10])).
% 0.11/0.63 fof(f22,plain,(
% 0.11/0.63 ~mult(mult(a,b),mult(c,mult(a,b)))=mult(mult(mult(a,mult(b,c)),a),b)),
% 0.11/0.63 inference(cnf_transformation,[status(thm)],[f11])).
% 0.11/0.63 fof(f32,plain,(
% 0.11/0.63 ~mult(mult(a,b),mult(c,mult(a,b)))=mult(a,mult(mult(b,c),mult(a,b)))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f18,f22])).
% 0.11/0.63 fof(f33,plain,(
% 0.11/0.63 ~mult(mult(a,b),mult(c,mult(a,b)))=mult(a,mult(b,mult(mult(c,a),b)))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f21,f32])).
% 0.11/0.63 fof(f60,plain,(
% 0.11/0.63 ![X0,X1]: (mult(X0,mult(X1,mult(X0,unit)))=mult(mult(X0,X1),X0))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f16,f18])).
% 0.11/0.63 fof(f70,plain,(
% 0.11/0.63 ![X0,X1,X2]: (rd(mult(X0,mult(X1,mult(X0,X2))),X2)=mult(mult(X0,X1),X0))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f18,f15])).
% 0.11/0.63 fof(f75,plain,(
% 0.11/0.63 ![X0,X1]: (mult(X0,mult(X1,X0))=mult(mult(X0,X1),X0))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f16,f60])).
% 0.11/0.63 fof(f88,plain,(
% 0.11/0.63 ![X0,X1,X2]: (rd(mult(X0,mult(X1,mult(X0,X2))),X2)=mult(X0,mult(X1,X0)))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f75,f70])).
% 0.11/0.63 fof(f124,plain,(
% 0.11/0.63 ![X0,X1,X2,X3]: (mult(mult(X0,X1),mult(X2,mult(X0,mult(X3,X0))))=mult(X0,mult(mult(X1,mult(mult(X2,X0),X3)),X0)))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f19,f21])).
% 0.11/0.63 fof(f163,plain,(
% 0.11/0.63 ![X0,X1]: (rd(mult(X0,mult(X1,X0)),X0)=mult(X0,X1))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f75,f15])).
% 0.11/0.63 fof(f745,plain,(
% 0.11/0.63 ![X0,X1]: (rd(mult(X0,X1),X0)=mult(X0,rd(X1,X0)))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f14,f163])).
% 0.11/0.63 fof(f996,plain,(
% 0.11/0.63 ![X0,X1,X2]: (rd(mult(mult(X0,X1),mult(X2,mult(X0,mult(X1,X0)))),X0)=mult(mult(X0,X1),mult(X2,mult(X0,X1))))),
% 0.11/0.63 inference(paramodulation,[status(thm)],[f75,f88])).
% 0.11/0.63 fof(f1036,plain,(
% 0.11/0.63 ![X0,X1,X2]: (rd(mult(X0,mult(mult(X1,mult(mult(X2,X0),X1)),X0)),X0)=mult(mult(X0,X1),mult(X2,mult(X0,X1))))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f124,f996])).
% 0.11/0.63 fof(f1037,plain,(
% 0.11/0.63 ![X0,X1,X2]: (mult(X0,rd(mult(mult(X1,mult(mult(X2,X0),X1)),X0),X0))=mult(mult(X0,X1),mult(X2,mult(X0,X1))))),
% 0.11/0.63 inference(forward_demodulation,[status(thm)],[f745,f1036])).
% 0.11/0.63 fof(f1038,plain,(
% 0.11/0.63 ~mult(a,mult(b,mult(mult(c,a),b)))=mult(a,mult(b,mult(mult(c,a),b)))),
% 0.11/0.63 inference(backward_demodulation,[status(thm)],[f1064,f33])).
% 0.11/0.63 fof(f1064,plain,(
% 0.11/0.63 ![X0,X1,X2]: (mult(X0,mult(X1,mult(mult(X2,X0),X1)))=mult(mult(X0,X1),mult(X2,mult(X0,X1))))),
% 0.11/0.66 inference(forward_demodulation,[status(thm)],[f15,f1037])).
% 0.11/0.66 fof(f1092,plain,(
% 0.11/0.66 $false),
% 0.11/0.66 inference(trivial_equality_resolution,[status(thm)],[f1038])).
% 0.11/0.66 % SZS output end CNFRefutation for theBenchmark.p
% 10.61/12.34 % Elapsed time: 11.957557 seconds
% 10.61/12.34 % CPU time: 90.831571 seconds
% 10.61/12.34 % Total memory used: 55.145 GB
% 10.61/12.34 % Net memory used: 55.144 GB
%------------------------------------------------------------------------------