%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP687-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 12:37:10 PM UTC 2026
% Result : Unsatisfiable 16.26s 2.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP687-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 % Computer : n002.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 20 20:35:46 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.44 % Drodi V4.1.1
% 16.26/2.54 % Refutation found
% 16.26/2.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 16.26/2.54 % SZS output start CNFRefutation for theBenchmark
% 16.26/2.54 fof(f1,axiom,(
% 16.26/2.54 (![A,B]: (mult(A,ld(A,B)) = B ))),
% 16.26/2.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.26/2.54 fof(f2,axiom,(
% 16.26/2.54 (![A,B]: (ld(A,mult(A,B)) = B ))),
% 16.26/2.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.26/2.54 fof(f3,axiom,(
% 16.26/2.54 (![A,B]: (mult(rd(A,B),B) = A ))),
% 16.26/2.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.26/2.54 fof(f4,axiom,(
% 16.26/2.54 (![A,B]: (rd(mult(A,B),B) = A ))),
% 16.26/2.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.26/2.54 fof(f5,axiom,(
% 16.26/2.54 (![A]: (mult(A,unit) = A ))),
% 16.26/2.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.26/2.54 fof(f7,axiom,(
% 16.26/2.54 (![A,B,C]: (mult(mult(A,A),mult(B,C)) = mult(mult(A,mult(A,B)),C) ))),
% 16.26/2.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.26/2.54 fof(f8,negated_conjecture,(
% 16.26/2.54 mult(a,mult(b,mult(b,c))) != mult(mult(a,mult(b,b)),c) ),
% 16.26/2.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 16.26/2.54 fof(f9,plain,(
% 16.26/2.54 ![X0,X1]: (mult(X0,ld(X0,X1))=X1)),
% 16.26/2.54 inference(cnf_transformation,[status(thm)],[f1])).
% 16.26/2.54 fof(f10,plain,(
% 16.26/2.54 ![X0,X1]: (ld(X0,mult(X0,X1))=X1)),
% 16.26/2.54 inference(cnf_transformation,[status(thm)],[f2])).
% 16.26/2.54 fof(f11,plain,(
% 16.26/2.54 ![X0,X1]: (mult(rd(X0,X1),X1)=X0)),
% 16.26/2.54 inference(cnf_transformation,[status(thm)],[f3])).
% 16.26/2.54 fof(f12,plain,(
% 16.26/2.54 ![X0,X1]: (rd(mult(X0,X1),X1)=X0)),
% 16.26/2.54 inference(cnf_transformation,[status(thm)],[f4])).
% 16.26/2.54 fof(f13,plain,(
% 16.26/2.54 ![X0]: (mult(X0,unit)=X0)),
% 16.26/2.54 inference(cnf_transformation,[status(thm)],[f5])).
% 16.26/2.54 fof(f15,plain,(
% 16.26/2.54 ![X0,X1,X2]: (mult(mult(X0,X0),mult(X1,X2))=mult(mult(X0,mult(X0,X1)),X2))),
% 16.26/2.54 inference(cnf_transformation,[status(thm)],[f7])).
% 16.26/2.54 fof(f16,plain,(
% 16.26/2.54 ~mult(a,mult(b,mult(b,c)))=mult(mult(a,mult(b,b)),c)),
% 16.26/2.54 inference(cnf_transformation,[status(thm)],[f8])).
% 16.26/2.54 fof(f32,plain,(
% 16.26/2.54 ![X0]: (ld(X0,X0)=unit)),
% 16.26/2.54 inference(paramodulation,[status(thm)],[f13,f10])).
% 16.26/2.54 fof(f45,plain,(
% 16.26/2.54 ![X0,X1]: (rd(X0,ld(X1,X0))=X1)),
% 16.26/2.54 inference(paramodulation,[status(thm)],[f9,f12])).
% 16.26/2.54 fof(f63,plain,(
% 16.26/2.54 ![X0,X1]: (mult(mult(X0,X0),mult(X1,unit))=mult(X0,mult(X0,X1)))),
% 16.26/2.54 inference(paramodulation,[status(thm)],[f13,f15])).
% 16.26/2.54 fof(f69,plain,(
% 16.26/2.54 ![X0,X1,X2]: (mult(mult(X0,X0),mult(ld(X0,X1),X2))=mult(mult(X0,X1),X2))),
% 16.26/2.54 inference(paramodulation,[status(thm)],[f9,f15])).
% 16.26/2.54 fof(f73,plain,(
% 16.26/2.54 ![X0,X1,X2]: (rd(mult(mult(X0,X0),mult(X1,X2)),X2)=mult(X0,mult(X0,X1)))),
% 16.26/2.54 inference(paramodulation,[status(thm)],[f15,f12])).
% 16.26/2.54 fof(f77,plain,(
% 16.26/2.54 ![X0,X1]: (mult(mult(X0,X0),X1)=mult(X0,mult(X0,X1)))),
% 16.26/2.54 inference(forward_demodulation,[status(thm)],[f13,f63])).
% 16.26/2.54 fof(f105,plain,(
% 16.26/2.54 ![X0,X1,X2]: (mult(X0,mult(X0,mult(ld(X0,X1),X2)))=mult(mult(X0,X1),X2))),
% 16.26/2.54 inference(forward_demodulation,[status(thm)],[f77,f69])).
% 16.26/2.54 fof(f110,plain,(
% 16.26/2.54 ![X0,X1,X2]: (rd(mult(X0,mult(X0,mult(X1,X2))),X2)=mult(X0,mult(X0,X1)))),
% 16.26/2.54 inference(forward_demodulation,[status(thm)],[f77,f73])).
% 16.26/2.54 fof(f366,plain,(
% 16.26/2.54 ![X0,X1,X2]: (mult(X0,mult(X0,X1))=mult(mult(X0,X2),ld(ld(X0,X2),X1)))),
% 16.26/2.54 inference(paramodulation,[status(thm)],[f9,f105])).
% 16.26/2.54 fof(f535,plain,(
% 16.26/2.54 ![X0,X1,X2]: (rd(mult(X0,mult(X0,X1)),X2)=mult(X0,mult(X0,rd(X1,X2))))),
% 16.26/2.54 inference(paramodulation,[status(thm)],[f11,f110])).
% 16.26/2.54 fof(f1043,plain,(
% 16.26/2.54 ![X0,X1,X2]: (mult(X0,mult(X0,X1))=mult(X2,ld(ld(X0,ld(X0,X2)),X1)))),
% 16.26/2.54 inference(paramodulation,[status(thm)],[f9,f366])).
% 16.26/2.54 fof(f1044,plain,(
% 16.26/2.54 ![X0,X1]: (mult(X0,mult(X0,X1))=mult(X0,ld(ld(X0,unit),X1)))),
% 16.26/2.54 inference(paramodulation,[status(thm)],[f13,f366])).
% 16.26/2.54 fof(f1119,plain,(
% 16.26/2.54 ![X0,X1]: (ld(X0,mult(X0,mult(X0,X1)))=ld(ld(X0,unit),X1))),
% 16.26/2.54 inference(paramodulation,[status(thm)],[f1044,f10])).
% 16.26/2.54 fof(f1160,plain,(
% 16.26/2.54 ![X0,X1]: (mult(X0,X1)=ld(ld(X0,unit),X1))),
% 16.26/2.54 inference(forward_demodulation,[status(thm)],[f10,f1119])).
% 16.26/2.54 fof(f1247,plain,(
% 16.26/2.54 ![X0,X1]: (mult(ld(X0,unit),X1)=ld(mult(X0,unit),X1))),
% 16.26/2.54 inference(paramodulation,[status(thm)],[f1160,f1160])).
% 16.26/2.54 fof(f1260,plain,(
% 16.26/2.54 ![X0,X1]: (rd(X0,mult(X1,X0))=ld(X1,unit))),
% 16.26/2.54 inference(paramodulation,[status(thm)],[f1160,f45])).
% 16.26/2.54 fof(f1266,plain,(
% 16.26/2.54 ![X0,X1]: (mult(ld(X0,unit),X1)=ld(X0,X1))),
% 16.26/2.54 inference(forward_demodulation,[status(thm)],[f13,f1247])).
% 16.26/2.60 fof(f1425,plain,(
% 16.26/2.60 ![X0,X1]: (rd(X0,X1)=ld(rd(X1,X0),unit))),
% 16.26/2.60 inference(paramodulation,[status(thm)],[f11,f1260])).
% 16.26/2.60 fof(f1498,plain,(
% 16.26/2.60 ![X0,X1,X2]: (mult(rd(X0,X1),X2)=ld(rd(X1,X0),X2))),
% 16.26/2.60 inference(paramodulation,[status(thm)],[f1425,f1266])).
% 16.26/2.60 fof(f2983,plain,(
% 16.26/2.60 ![X0,X1,X2]: (rd(ld(X0,mult(ld(X0,unit),X1)),X2)=mult(ld(X0,unit),mult(ld(X0,unit),rd(X1,X2))))),
% 16.26/2.60 inference(paramodulation,[status(thm)],[f1266,f535])).
% 16.26/2.60 fof(f3023,plain,(
% 16.26/2.60 ![X0,X1,X2]: (rd(ld(X0,ld(X0,X1)),X2)=mult(ld(X0,unit),mult(ld(X0,unit),rd(X1,X2))))),
% 16.26/2.60 inference(forward_demodulation,[status(thm)],[f1266,f2983])).
% 16.26/2.60 fof(f3024,plain,(
% 16.26/2.60 ![X0,X1,X2]: (rd(ld(X0,ld(X0,X1)),X2)=ld(X0,mult(ld(X0,unit),rd(X1,X2))))),
% 16.26/2.60 inference(forward_demodulation,[status(thm)],[f1266,f3023])).
% 16.26/2.60 fof(f3030,plain,(
% 16.26/2.60 ![X0,X1,X2]: (rd(ld(X0,ld(X0,X1)),X2)=ld(X0,ld(X0,rd(X1,X2))))),
% 16.26/2.60 inference(forward_demodulation,[status(thm)],[f1266,f3024])).
% 16.26/2.60 fof(f5160,plain,(
% 16.26/2.60 ![X0,X1,X2]: (ld(X0,mult(X1,mult(X1,X2)))=ld(ld(X1,ld(X1,X0)),X2))),
% 16.26/2.60 inference(paramodulation,[status(thm)],[f1043,f10])).
% 16.26/2.60 fof(f9209,plain,(
% 16.26/2.60 ![X0,X1]: (rd(ld(X0,unit),X1)=ld(X0,ld(X0,rd(X0,X1))))),
% 16.26/2.60 inference(paramodulation,[status(thm)],[f32,f3030])).
% 16.26/2.60 fof(f9440,plain,(
% 16.26/2.60 ![X0,X1]: (rd(ld(X0,unit),mult(X1,X0))=ld(X0,ld(X0,ld(X1,unit))))),
% 16.26/2.60 inference(paramodulation,[status(thm)],[f1260,f9209])).
% 16.26/2.60 fof(f9443,plain,(
% 16.26/2.60 ![X0,X1]: (rd(ld(X0,unit),ld(X1,X0))=ld(X0,ld(X0,X1)))),
% 16.26/2.60 inference(paramodulation,[status(thm)],[f45,f9209])).
% 16.26/2.60 fof(f9609,plain,(
% 16.26/2.60 ![X0,X1]: (rd(ld(X0,X1),ld(X1,unit))=ld(ld(X1,ld(X1,X0)),unit))),
% 16.26/2.60 inference(paramodulation,[status(thm)],[f9443,f1425])).
% 16.26/2.60 fof(f9713,plain,(
% 16.26/2.60 ![X0,X1]: (rd(ld(X0,X1),ld(X1,unit))=ld(X0,mult(X1,mult(X1,unit))))),
% 16.26/2.60 inference(forward_demodulation,[status(thm)],[f5160,f9609])).
% 16.26/2.60 fof(f9717,plain,(
% 16.26/2.60 ![X0,X1]: (rd(ld(X0,X1),ld(X1,unit))=ld(X0,mult(X1,X1)))),
% 16.26/2.60 inference(forward_demodulation,[status(thm)],[f13,f9713])).
% 16.26/2.60 fof(f11339,plain,(
% 16.26/2.60 ![X0,X1]: (rd(mult(X0,X1),ld(X1,unit))=ld(ld(X0,unit),mult(X1,X1)))),
% 16.26/2.60 inference(paramodulation,[status(thm)],[f1160,f9717])).
% 16.26/2.60 fof(f11395,plain,(
% 16.26/2.60 ![X0,X1]: (rd(mult(X0,X1),ld(X1,unit))=mult(X0,mult(X1,X1)))),
% 16.26/2.60 inference(forward_demodulation,[status(thm)],[f1160,f11339])).
% 16.26/2.60 fof(f12736,plain,(
% 16.26/2.60 ![X0,X1,X2]: (mult(mult(X0,mult(X1,X1)),X2)=ld(rd(ld(X1,unit),mult(X0,X1)),X2))),
% 16.26/2.60 inference(paramodulation,[status(thm)],[f11395,f1498])).
% 16.26/2.60 fof(f12822,plain,(
% 16.26/2.60 ![X0,X1,X2]: (mult(mult(X0,mult(X1,X1)),X2)=ld(ld(X1,ld(X1,ld(X0,unit))),X2))),
% 16.26/2.60 inference(forward_demodulation,[status(thm)],[f9440,f12736])).
% 16.26/2.60 fof(f12823,plain,(
% 16.26/2.60 ![X0,X1,X2]: (mult(mult(X0,mult(X1,X1)),X2)=ld(ld(X0,unit),mult(X1,mult(X1,X2))))),
% 16.26/2.60 inference(forward_demodulation,[status(thm)],[f5160,f12822])).
% 16.26/2.60 fof(f12824,plain,(
% 16.26/2.60 ~mult(a,mult(b,mult(b,c)))=mult(a,mult(b,mult(b,c)))),
% 16.26/2.60 inference(backward_demodulation,[status(thm)],[f12832,f16])).
% 16.26/2.60 fof(f12832,plain,(
% 16.26/2.60 ![X0,X1,X2]: (mult(mult(X0,mult(X1,X1)),X2)=mult(X0,mult(X1,mult(X1,X2))))),
% 16.26/2.60 inference(forward_demodulation,[status(thm)],[f1160,f12823])).
% 16.26/2.60 fof(f12847,plain,(
% 16.26/2.60 $false),
% 16.26/2.60 inference(trivial_equality_resolution,[status(thm)],[f12824])).
% 16.26/2.60 % SZS output end CNFRefutation for theBenchmark.p
% 99.81/28.46 % Elapsed time: 27.806457 seconds
% 99.81/28.46 % CPU time: 145.389670 seconds
% 99.81/28.46 % Total memory used: 77.930 GB
% 99.81/28.46 % Net memory used: 77.928 GB
%------------------------------------------------------------------------------