%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP685-10 : 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 : n016.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 0.10s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP685-10 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 20:37:52 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.10/0.44 % Refutation found
% 0.10/0.44 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.44 fof(f1,axiom,(
% 0.10/0.44 (![A]: (ld(A,mult(A,A)) = A ))),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f2,axiom,(
% 0.10/0.44 (![A]: (rd(mult(A,A),A) = A ))),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f3,axiom,(
% 0.10/0.44 (![A,B]: (mult(A,ld(A,B)) = ld(A,mult(A,B)) ))),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f4,axiom,(
% 0.10/0.44 (![A,B]: (mult(rd(A,B),B) = rd(mult(A,B),B) ))),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f5,axiom,(
% 0.10/0.44 (![A,B,C,D]: (ld(ld(A,B),mult(ld(A,B),mult(C,D))) = mult(ld(A,mult(A,C)),D) ))),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f6,axiom,(
% 0.10/0.44 (![A,B,C,D]: (rd(mult(mult(A,B),rd(C,D)),rd(C,D)) = mult(A,rd(mult(B,D),D)) ))),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f7,axiom,(
% 0.10/0.44 (![A,B]: (ld(A,mult(A,ld(B,B))) = rd(mult(rd(A,A),B),B) ))),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f8,negated_conjecture,(
% 0.10/0.44 rd(mult(x6,ld(x7,x8)),ld(x7,x8)) != rd(mult(x6,x8),x8) ),
% 0.10/0.44 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f9,plain,(
% 0.10/0.44 ![X0]: (ld(X0,mult(X0,X0))=X0)),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.44 fof(f10,plain,(
% 0.10/0.44 ![X0]: (rd(mult(X0,X0),X0)=X0)),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.44 fof(f11,plain,(
% 0.10/0.44 ![X0,X1]: (mult(X0,ld(X0,X1))=ld(X0,mult(X0,X1)))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.44 fof(f12,plain,(
% 0.10/0.44 ![X0,X1]: (mult(rd(X0,X1),X1)=rd(mult(X0,X1),X1))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.44 fof(f13,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (ld(ld(X0,X1),mult(ld(X0,X1),mult(X2,X3)))=mult(ld(X0,mult(X0,X2)),X3))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.44 fof(f14,plain,(
% 0.10/0.44 ![X0,X1,X2,X3]: (rd(mult(mult(X0,X1),rd(X2,X3)),rd(X2,X3))=mult(X0,rd(mult(X1,X3),X3)))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f6])).
% 0.10/0.44 fof(f15,plain,(
% 0.10/0.44 ![X0,X1]: (ld(X0,mult(X0,ld(X1,X1)))=rd(mult(rd(X0,X0),X1),X1))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f7])).
% 0.10/0.44 fof(f16,plain,(
% 0.10/0.44 ~rd(mult(x6,ld(x7,x8)),ld(x7,x8))=rd(mult(x6,x8),x8)),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f8])).
% 0.10/0.44 fof(f29,plain,(
% 0.10/0.44 ![X0,X1,X2]: (ld(X0,mult(ld(X0,mult(X0,X0)),mult(X1,X2)))=mult(ld(X0,mult(X0,X1)),X2))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f9,f13])).
% 0.10/0.44 fof(f43,plain,(
% 0.10/0.44 ![X0,X1,X2]: (ld(X0,mult(X0,mult(X1,X2)))=mult(ld(X0,mult(X0,X1)),X2))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f9,f29])).
% 0.10/0.44 fof(f67,plain,(
% 0.10/0.44 ![X0]: (ld(X0,mult(X0,ld(X0,X0)))=rd(rd(mult(X0,X0),X0),X0))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f12,f15])).
% 0.10/0.44 fof(f70,plain,(
% 0.10/0.44 ![X0,X1]: (mult(ld(X0,mult(X0,ld(X1,X1))),X1)=rd(mult(mult(rd(X0,X0),X1),X1),X1))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f15,f12])).
% 0.10/0.44 fof(f71,plain,(
% 0.10/0.44 ![X0]: (ld(X0,ld(X0,mult(X0,X0)))=rd(rd(mult(X0,X0),X0),X0))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f11,f67])).
% 0.10/0.44 fof(f72,plain,(
% 0.10/0.44 ![X0]: (ld(X0,X0)=rd(rd(mult(X0,X0),X0),X0))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f9,f71])).
% 0.10/0.44 fof(f75,plain,(
% 0.10/0.44 ![X0]: (ld(X0,X0)=rd(X0,X0))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f10,f72])).
% 0.10/0.44 fof(f84,plain,(
% 0.10/0.44 ![X0,X1]: (ld(X0,mult(X0,mult(ld(X1,X1),X1)))=rd(mult(mult(rd(X0,X0),X1),X1),X1))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f43,f70])).
% 0.10/0.44 fof(f85,plain,(
% 0.10/0.44 ![X0,X1]: (ld(X0,mult(X0,mult(ld(X1,X1),X1)))=rd(mult(mult(ld(X0,X0),X1),X1),X1))),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f75,f84])).
% 0.10/0.44 fof(f88,plain,(
% 0.10/0.44 ![X0]: (mult(ld(X0,X0),X0)=rd(mult(X0,X0),X0))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f75,f12])).
% 0.10/0.44 fof(f89,plain,(
% 0.10/0.44 ![X0,X1]: (ld(X0,mult(X0,X1))=rd(mult(mult(ld(X0,X0),X1),X1),X1))),
% 0.10/0.44 inference(backward_demodulation,[status(thm)],[f90,f85])).
% 0.10/0.44 fof(f90,plain,(
% 0.10/0.44 ![X0]: (mult(ld(X0,X0),X0)=X0)),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f10,f88])).
% 0.10/0.44 fof(f240,plain,(
% 0.10/0.44 ![X0,X1,X2]: (rd(mult(X0,rd(X1,X2)),rd(X1,X2))=mult(ld(X0,X0),rd(mult(X0,X2),X2)))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f90,f14])).
% 0.10/0.46 fof(f246,plain,(
% 0.10/0.46 ![X0,X1,X2]: (rd(mult(mult(X0,X1),X2),rd(mult(X2,X2),X2))=mult(X0,rd(mult(X1,X2),X2)))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f10,f14])).
% 0.10/0.46 fof(f264,plain,(
% 0.10/0.46 ![X0,X1,X2]: (rd(mult(X0,rd(X1,X2)),rd(X1,X2))=rd(mult(mult(ld(X0,X0),X0),X2),X2))),
% 0.10/0.46 inference(backward_demodulation,[status(thm)],[f270,f240])).
% 0.10/0.46 fof(f270,plain,(
% 0.10/0.46 ![X0,X1,X2]: (rd(mult(mult(X0,X1),X2),X2)=mult(X0,rd(mult(X1,X2),X2)))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f10,f246])).
% 0.10/0.46 fof(f295,plain,(
% 0.10/0.46 ![X0,X1,X2]: (rd(mult(X0,rd(X1,X2)),rd(X1,X2))=rd(mult(X0,X2),X2))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f90,f264])).
% 0.10/0.46 fof(f307,plain,(
% 0.10/0.46 ![X0,X1]: (rd(mult(mult(X0,X1),X1),X1)=mult(X0,X1))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f10,f270])).
% 0.10/0.46 fof(f328,plain,(
% 0.10/0.46 ![X0,X1]: (ld(X0,mult(X0,X1))=mult(ld(X0,X0),X1))),
% 0.10/0.46 inference(backward_demodulation,[status(thm)],[f307,f89])).
% 0.10/0.46 fof(f660,plain,(
% 0.10/0.46 ![X0,X1,X2]: (rd(mult(X0,mult(X1,X2)),rd(mult(mult(X1,X2),X2),X2))=rd(mult(X0,X2),X2))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f307,f295])).
% 0.10/0.46 fof(f692,plain,(
% 0.10/0.46 ![X0,X1,X2]: (rd(mult(X0,mult(X1,X2)),mult(X1,X2))=rd(mult(X0,X2),X2))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f307,f660])).
% 0.10/0.46 fof(f1050,plain,(
% 0.10/0.46 ![X0,X1,X2]: (rd(mult(X0,ld(X1,mult(X1,X2))),mult(ld(X1,X1),X2))=rd(mult(X0,X2),X2))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f328,f692])).
% 0.10/0.46 fof(f1054,plain,(
% 0.10/0.46 ![X0,X1,X2]: (rd(mult(X0,ld(X1,mult(X1,X2))),mult(X1,ld(X1,X2)))=rd(mult(X0,ld(X1,X2)),ld(X1,X2)))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f11,f692])).
% 0.10/0.46 fof(f1086,plain,(
% 0.10/0.46 ![X0,X1,X2]: (rd(mult(X0,ld(X1,mult(X1,X2))),ld(X1,mult(X1,X2)))=rd(mult(X0,X2),X2))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f328,f1050])).
% 0.10/0.46 fof(f1095,plain,(
% 0.10/0.46 ![X0,X1,X2]: (rd(mult(X0,ld(X1,mult(X1,X2))),ld(X1,mult(X1,X2)))=rd(mult(X0,ld(X1,X2)),ld(X1,X2)))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f11,f1054])).
% 0.10/0.46 fof(f1096,plain,(
% 0.10/0.46 ~rd(mult(x6,x8),x8)=rd(mult(x6,x8),x8)),
% 0.10/0.46 inference(backward_demodulation,[status(thm)],[f1103,f16])).
% 0.10/0.46 fof(f1103,plain,(
% 0.10/0.46 ![X0,X1,X2]: (rd(mult(X0,X1),X1)=rd(mult(X0,ld(X2,X1)),ld(X2,X1)))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f1086,f1095])).
% 0.10/0.46 fof(f1126,plain,(
% 0.10/0.46 $false),
% 0.10/0.46 inference(trivial_equality_resolution,[status(thm)],[f1096])).
% 0.10/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 9.22/1.69 % Elapsed time: 1.085555 seconds
% 9.22/1.69 % CPU time: 0.229029 seconds
% 9.22/1.69 % Total memory used: 6.603 MB
% 9.22/1.69 % Net memory used: 6.421 MB
%------------------------------------------------------------------------------