%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP756-1 : 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 : n004.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 12:37:17 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.93s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP756-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.60 % Computer : n004.cluster.edu
% 0.19/0.60 % Model : x86_64 x86_64
% 0.19/0.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.60 % Memory : 8046.5625MB
% 0.19/0.60 % OS : Linux 6.8.0-71-generic
% 0.19/0.61 % CPULimit : 300
% 0.19/0.61 % WCLimit : 300
% 0.19/0.61 % DateTime : Sun Sep 20 20:37:35 UTC 2026
% 0.19/0.61 % CPUTime :
% 0.19/0.62 % Drodi V4.1.1
% 0.22/0.93 % Refutation found
% 0.22/0.93 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.93 % SZS output start CNFRefutation for theBenchmark
% 0.22/0.93 fof(f1,axiom,(
% 0.22/0.93 (![A,B]: (mult(A,ld(A,B)) = B ))),
% 0.22/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.93 fof(f2,axiom,(
% 0.22/0.93 (![A,B]: (ld(A,mult(A,B)) = B ))),
% 0.22/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.93 fof(f3,axiom,(
% 0.22/0.93 (![A,B]: (mult(rd(A,B),B) = A ))),
% 0.22/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.93 fof(f4,axiom,(
% 0.22/0.93 (![A,B]: (rd(mult(A,B),B) = A ))),
% 0.22/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.93 fof(f5,axiom,(
% 0.22/0.93 (![A,B,C]: (mult(A,mult(mult(B,B),C)) = mult(mult(A,B),mult(B,C)) ))),
% 0.22/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.93 fof(f6,negated_conjecture,(
% 0.22/0.93 mult(mult(a,b),c) != mult(a,mult(b,c)) ),
% 0.22/0.93 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.93 fof(f7,plain,(
% 0.22/0.93 ![X0,X1]: (mult(X0,ld(X0,X1))=X1)),
% 0.22/0.93 inference(cnf_transformation,[status(thm)],[f1])).
% 0.22/0.93 fof(f8,plain,(
% 0.22/0.93 ![X0,X1]: (ld(X0,mult(X0,X1))=X1)),
% 0.22/0.93 inference(cnf_transformation,[status(thm)],[f2])).
% 0.22/0.93 fof(f9,plain,(
% 0.22/0.93 ![X0,X1]: (mult(rd(X0,X1),X1)=X0)),
% 0.22/0.93 inference(cnf_transformation,[status(thm)],[f3])).
% 0.22/0.93 fof(f10,plain,(
% 0.22/0.93 ![X0,X1]: (rd(mult(X0,X1),X1)=X0)),
% 0.22/0.93 inference(cnf_transformation,[status(thm)],[f4])).
% 0.22/0.93 fof(f11,plain,(
% 0.22/0.93 ![X0,X1,X2]: (mult(X0,mult(mult(X1,X1),X2))=mult(mult(X0,X1),mult(X1,X2)))),
% 0.22/0.93 inference(cnf_transformation,[status(thm)],[f5])).
% 0.22/0.93 fof(f12,plain,(
% 0.22/0.93 ~mult(mult(a,b),c)=mult(a,mult(b,c))),
% 0.22/0.93 inference(cnf_transformation,[status(thm)],[f6])).
% 0.22/0.93 fof(f22,plain,(
% 0.22/0.93 ![X0,X1]: (rd(X0,ld(X1,X0))=X1)),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f7,f10])).
% 0.22/0.93 fof(f30,plain,(
% 0.22/0.93 ![X0,X1,X2,X3]: (mult(mult(X0,X1),mult(mult(mult(X1,X2),mult(X1,X2)),X3))=mult(mult(X0,mult(mult(X1,X1),X2)),mult(mult(X1,X2),X3)))),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f11,f11])).
% 0.22/0.93 fof(f31,plain,(
% 0.22/0.93 ![X0,X1,X2]: (mult(rd(X0,X1),mult(mult(X1,X1),X2))=mult(X0,mult(X1,X2)))),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f9,f11])).
% 0.22/0.93 fof(f32,plain,(
% 0.22/0.93 ![X0,X1,X2]: (mult(X0,mult(mult(ld(X0,X1),ld(X0,X1)),X2))=mult(X1,mult(ld(X0,X1),X2)))),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f7,f11])).
% 0.22/0.93 fof(f35,plain,(
% 0.22/0.93 ![X0,X1,X2]: (mult(X0,mult(mult(X1,X1),ld(X1,X2)))=mult(mult(X0,X1),X2))),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f7,f11])).
% 0.22/0.93 fof(f36,plain,(
% 0.22/0.93 ![X0,X1,X2]: (rd(mult(X0,mult(mult(X1,X1),X2)),mult(X1,X2))=mult(X0,X1))),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f11,f10])).
% 0.22/0.93 fof(f37,plain,(
% 0.22/0.93 ![X0,X1,X2]: (ld(mult(X0,X1),mult(X0,mult(mult(X1,X1),X2)))=mult(X1,X2))),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f11,f8])).
% 0.22/0.93 fof(f41,plain,(
% 0.22/0.93 ![X0,X1,X2]: (mult(rd(X0,X1),X2)=mult(X0,mult(X1,ld(mult(X1,X1),X2))))),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f7,f31])).
% 0.22/0.93 fof(f45,plain,(
% 0.22/0.93 ![X0,X1,X2]: (rd(mult(X0,mult(X1,X2)),mult(mult(X1,X1),X2))=rd(X0,X1))),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f31,f10])).
% 0.22/0.93 fof(f59,plain,(
% 0.22/0.93 ![X0,X1,X2,X3]: (mult(X0,mult(mult(X1,X1),mult(mult(X2,X2),ld(X2,X3))))=mult(mult(X0,X1),mult(mult(X1,X2),X3)))),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f35,f11])).
% 0.22/0.93 fof(f69,plain,(
% 0.22/0.93 ![X0,X1,X2,X3]: (mult(X0,mult(mult(mult(X1,X1),X2),X3))=mult(mult(X0,X1),mult(mult(X1,X2),X3)))),
% 0.22/0.93 inference(forward_demodulation,[status(thm)],[f35,f59])).
% 0.22/0.93 fof(f73,plain,(
% 0.22/0.93 ![X0,X1,X2]: (rd(X0,mult(X1,X2))=mult(rd(X0,mult(mult(X1,X1),X2)),X1))),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f9,f36])).
% 0.22/0.93 fof(f110,plain,(
% 0.22/0.93 ![X0,X1,X2]: (ld(mult(X0,X1),mult(X0,X2))=mult(X1,ld(mult(X1,X1),X2)))),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f7,f37])).
% 0.22/0.93 fof(f127,plain,(
% 0.22/0.93 ![X0,X1,X2]: (mult(rd(rd(X0,X1),mult(X1,X1)),X2)=mult(X0,mult(X1,ld(mult(mult(X1,X1),mult(X1,X1)),X2))))),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f31,f41])).
% 0.22/0.93 fof(f151,plain,(
% 0.22/0.93 ![X0,X1,X2]: (ld(X0,mult(rd(X0,X1),X2))=mult(X1,ld(mult(X1,X1),X2)))),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f41,f8])).
% 0.22/0.93 fof(f153,plain,(
% 0.22/0.93 ![X0,X1,X2]: (mult(rd(rd(X0,X1),mult(X1,X1)),X2)=mult(X0,mult(X1,ld(mult(X1,mult(mult(X1,X1),X1)),X2))))),
% 0.22/0.93 inference(forward_demodulation,[status(thm)],[f11,f127])).
% 0.22/0.93 fof(f181,plain,(
% 0.22/0.93 ![X0,X1,X2,X3]: (mult(mult(X0,X1),mult(mult(mult(X1,ld(mult(X1,X1),X2)),mult(X1,ld(mult(X1,X1),X2))),X3))=mult(mult(X0,X2),mult(mult(X1,ld(mult(X1,X1),X2)),X3)))),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f7,f30])).
% 0.22/0.93 fof(f239,plain,(
% 0.22/0.93 ![X0,X1,X2,X3]: (mult(mult(X0,X1),mult(mult(rd(mult(X1,ld(mult(X1,X1),X2)),X1),X2),X3))=mult(mult(X0,X2),mult(mult(X1,ld(mult(X1,X1),X2)),X3)))),
% 0.22/0.93 inference(forward_demodulation,[status(thm)],[f41,f181])).
% 0.22/0.93 fof(f525,plain,(
% 0.22/0.93 ![X0,X1,X2,X3]: (mult(rd(X0,X1),X2)=mult(X0,ld(mult(X3,X1),mult(X3,X2))))),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f110,f41])).
% 0.22/0.93 fof(f582,plain,(
% 0.22/0.93 ![X0,X1]: (ld(X0,X0)=mult(X1,ld(mult(X1,X1),X1)))),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f9,f151])).
% 0.22/0.93 fof(f793,plain,(
% 0.22/0.93 ![X0,X1]: (ld(X0,X0)=mult(mult(X1,X1),ld(mult(X1,mult(mult(X1,X1),X1)),mult(X1,X1))))),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f11,f582])).
% 0.22/0.93 fof(f806,plain,(
% 0.22/0.93 ![X0,X1,X2]: (mult(X0,ld(X1,X1))=mult(X2,mult(ld(X0,X2),ld(mult(mult(ld(X0,X2),ld(X0,X2)),mult(ld(X0,X2),ld(X0,X2))),mult(ld(X0,X2),ld(X0,X2))))))),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f582,f32])).
% 0.22/0.93 fof(f822,plain,(
% 0.22/0.93 ![X0,X1,X2,X3]: (mult(mult(X0,X1),mult(mult(mult(X1,ld(mult(X1,X1),X1)),mult(X1,ld(mult(X1,X1),X1))),X2))=mult(mult(X0,mult(mult(X1,X1),ld(mult(X1,X1),X1))),mult(ld(X3,X3),X2)))),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f582,f30])).
% 0.22/0.93 fof(f830,plain,(
% 0.22/0.93 ![X0,X1]: (ld(X0,X0)=mult(rd(mult(X1,X1),mult(mult(X1,X1),X1)),X1))),
% 0.22/0.93 inference(forward_demodulation,[status(thm)],[f525,f793])).
% 0.22/0.93 fof(f831,plain,(
% 0.22/0.93 ![X0,X1]: (ld(X0,X0)=rd(mult(X1,X1),mult(X1,X1)))),
% 0.22/0.93 inference(forward_demodulation,[status(thm)],[f73,f830])).
% 0.22/0.93 fof(f879,plain,(
% 0.22/0.93 ![X0,X1,X2]: (mult(X0,ld(X1,X1))=mult(X2,mult(ld(X0,X2),ld(mult(ld(X0,X2),mult(mult(ld(X0,X2),ld(X0,X2)),ld(X0,X2))),mult(ld(X0,X2),ld(X0,X2))))))),
% 0.22/0.93 inference(forward_demodulation,[status(thm)],[f11,f806])).
% 0.22/0.93 fof(f880,plain,(
% 0.22/0.93 ![X0,X1,X2]: (mult(X0,ld(X1,X1))=mult(rd(rd(X2,ld(X0,X2)),mult(ld(X0,X2),ld(X0,X2))),mult(ld(X0,X2),ld(X0,X2))))),
% 0.22/0.93 inference(forward_demodulation,[status(thm)],[f153,f879])).
% 0.22/0.93 fof(f881,plain,(
% 0.22/0.93 ![X0,X1,X2]: (mult(X0,ld(X1,X1))=rd(X2,ld(X0,X2)))),
% 0.22/0.93 inference(forward_demodulation,[status(thm)],[f9,f880])).
% 0.22/0.93 fof(f883,plain,(
% 0.22/0.93 ![X0,X1]: (mult(X0,ld(X1,X1))=X0)),
% 0.22/0.93 inference(forward_demodulation,[status(thm)],[f22,f881])).
% 0.22/0.93 fof(f922,plain,(
% 0.22/0.93 ![X0,X1,X2,X3]: (mult(mult(X0,X1),mult(mult(rd(mult(X1,ld(mult(X1,X1),X1)),X1),X1),X2))=mult(mult(X0,mult(mult(X1,X1),ld(mult(X1,X1),X1))),mult(ld(X3,X3),X2)))),
% 0.22/0.93 inference(forward_demodulation,[status(thm)],[f41,f822])).
% 0.22/0.93 fof(f923,plain,(
% 0.22/0.93 ![X0,X1,X2,X3]: (mult(mult(X0,X1),mult(mult(X1,ld(mult(X1,X1),X1)),X2))=mult(mult(X0,mult(mult(X1,X1),ld(mult(X1,X1),X1))),mult(ld(X3,X3),X2)))),
% 0.22/0.93 inference(forward_demodulation,[status(thm)],[f239,f922])).
% 0.22/0.93 fof(f924,plain,(
% 0.22/0.93 ![X0,X1,X2,X3]: (mult(X0,mult(mult(mult(X1,X1),ld(mult(X1,X1),X1)),X2))=mult(mult(X0,mult(mult(X1,X1),ld(mult(X1,X1),X1))),mult(ld(X3,X3),X2)))),
% 0.22/0.93 inference(forward_demodulation,[status(thm)],[f69,f923])).
% 0.22/0.93 fof(f925,plain,(
% 0.22/0.93 ![X0,X1,X2,X3]: (mult(X0,mult(X1,X2))=mult(mult(X0,mult(mult(X1,X1),ld(mult(X1,X1),X1))),mult(ld(X3,X3),X2)))),
% 0.22/0.93 inference(forward_demodulation,[status(thm)],[f7,f924])).
% 0.22/0.93 fof(f926,plain,(
% 0.22/0.93 ![X0,X1,X2,X3]: (mult(X0,mult(X1,X2))=mult(mult(X0,X1),mult(ld(X3,X3),X2)))),
% 0.22/0.93 inference(forward_demodulation,[status(thm)],[f7,f925])).
% 0.22/0.93 fof(f1010,plain,(
% 0.22/0.93 ![X0,X1,X2]: (rd(mult(X0,mult(X1,ld(X2,X2))),mult(X1,X1))=rd(X0,X1))),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f883,f45])).
% 0.22/0.93 fof(f1057,plain,(
% 0.22/0.93 ![X0,X1]: (ld(X0,X0)=rd(X1,X1))),
% 0.22/0.93 inference(backward_demodulation,[status(thm)],[f1058,f831])).
% 0.22/0.93 fof(f1058,plain,(
% 0.22/0.93 ![X0,X1]: (rd(mult(X0,X1),mult(X1,X1))=rd(X0,X1))),
% 0.22/0.93 inference(forward_demodulation,[status(thm)],[f883,f1010])).
% 0.22/0.93 fof(f1153,plain,(
% 0.22/0.93 ![X0,X1]: (mult(ld(X0,X0),X1)=X1)),
% 0.22/0.93 inference(paramodulation,[status(thm)],[f1057,f9])).
% 0.22/0.93 fof(f1174,plain,(
% 0.22/0.93 ![X0,X1,X2]: (mult(X0,mult(X1,X2))=mult(mult(X0,X1),X2))),
% 0.22/0.93 inference(backward_demodulation,[status(thm)],[f1153,f926])).
% 0.22/0.93 fof(f1365,plain,(
% 0.22/0.93 ~mult(a,mult(b,c))=mult(a,mult(b,c))),
% 0.22/0.93 inference(backward_demodulation,[status(thm)],[f1174,f12])).
% 0.22/0.94 fof(f2537,plain,(
% 0.22/0.94 $false),
% 0.22/0.94 inference(trivial_equality_resolution,[status(thm)],[f1365])).
% 0.22/0.94 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.97 % Elapsed time: 0.349450 seconds
% 0.22/0.97 % CPU time: 2.628899 seconds
% 0.22/0.97 % Total memory used: 84.793 MB
% 0.22/0.97 % Net memory used: 83.894 MB
%------------------------------------------------------------------------------