%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP658+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 : n017.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 12:37:05 PM UTC 2026
% Result : Theorem 5.94s 1.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP658+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.41 % Computer : n017.cluster.edu
% 0.18/0.41 % Model : x86_64 x86_64
% 0.18/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.41 % Memory : 8046.5625MB
% 0.18/0.41 % OS : Linux 6.8.0-71-generic
% 0.18/0.41 % CPULimit : 300
% 0.18/0.41 % WCLimit : 300
% 0.18/0.41 % DateTime : Sun Sep 20 20:24:58 UTC 2026
% 0.18/0.42 % CPUTime :
% 0.18/0.43 % Drodi V4.1.1
% 5.94/1.38 % Refutation found
% 5.94/1.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.94/1.38 % SZS output start CNFRefutation for theBenchmark
% 5.94/1.38 fof(f1,axiom,(
% 5.94/1.38 (! [B,A] : mult(A,ld(A,B)) = B )),
% 5.94/1.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.94/1.38 fof(f3,axiom,(
% 5.94/1.38 (! [B,A] : mult(rd(A,B),B) = A )),
% 5.94/1.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.94/1.38 fof(f4,axiom,(
% 5.94/1.38 (! [B,A] : rd(mult(A,B),B) = A )),
% 5.94/1.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.94/1.38 fof(f5,axiom,(
% 5.94/1.38 (! [C,B,A] : mult(mult(A,mult(B,B)),C) = mult(mult(A,B),mult(B,C)) )),
% 5.94/1.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.94/1.38 fof(f6,conjecture,(
% 5.94/1.38 (? [X0] :(! [X1] :( mult(X1,X0) = X1& mult(X0,X1) = X1 ) ))),
% 5.94/1.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.94/1.38 fof(f7,negated_conjecture,(
% 5.94/1.38 ~((? [X0] :(! [X1] :( mult(X1,X0) = X1& mult(X0,X1) = X1 ) )))),
% 5.94/1.38 inference(negated_conjecture,[status(cth)],[f6])).
% 5.94/1.38 fof(f8,plain,(
% 5.94/1.38 ![X0,X1]: (mult(X0,ld(X0,X1))=X1)),
% 5.94/1.38 inference(cnf_transformation,[status(thm)],[f1])).
% 5.94/1.38 fof(f10,plain,(
% 5.94/1.38 ![X0,X1]: (mult(rd(X0,X1),X1)=X0)),
% 5.94/1.38 inference(cnf_transformation,[status(thm)],[f3])).
% 5.94/1.38 fof(f11,plain,(
% 5.94/1.38 ![X0,X1]: (rd(mult(X0,X1),X1)=X0)),
% 5.94/1.38 inference(cnf_transformation,[status(thm)],[f4])).
% 5.94/1.38 fof(f12,plain,(
% 5.94/1.38 ![X0,X1,X2]: (mult(mult(X0,mult(X1,X1)),X2)=mult(mult(X0,X1),mult(X1,X2)))),
% 5.94/1.38 inference(cnf_transformation,[status(thm)],[f5])).
% 5.94/1.38 fof(f13,plain,(
% 5.94/1.38 (![X0]: ?[X1]: (~mult(X1,X0)=X1|~mult(X0,X1)=X1))),
% 5.94/1.38 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 5.94/1.38 fof(f14,plain,(
% 5.94/1.38 ![X0]: ((?[X1]: ~mult(X1,X0)=X1)|(?[X1]: ~mult(X0,X1)=X1))),
% 5.94/1.38 inference(miniscoping,[status(thm)],[f13])).
% 5.94/1.38 fof(f15,plain,(
% 5.94/1.38 ![X0]: (~mult(sK0_skl(X0),X0)=sK0_skl(X0)|~mult(X0,sK1_skl(X0))=sK1_skl(X0))),
% 5.94/1.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X1,sK0_skl(X0)),skolemize(X1,sK1_skl(X0))],[f14])).
% 5.94/1.38 fof(f16,plain,(
% 5.94/1.38 ![X0]: (~mult(sK0_skl(X0),X0)=sK0_skl(X0)|~mult(X0,sK1_skl(X0))=sK1_skl(X0))),
% 5.94/1.38 inference(cnf_transformation,[status(thm)],[f15])).
% 5.94/1.38 fof(f27,plain,(
% 5.94/1.38 ![X0,X1,X2]: (mult(X0,X1)=mult(mult(rd(X0,mult(X2,X2)),X2),mult(X2,X1)))),
% 5.94/1.38 inference(paramodulation,[status(thm)],[f10,f12])).
% 5.94/1.38 fof(f73,plain,(
% 5.94/1.38 ![X0,X1,X2]: (mult(X0,ld(X1,X2))=mult(mult(rd(X0,mult(X1,X1)),X1),X2))),
% 5.94/1.38 inference(paramodulation,[status(thm)],[f8,f27])).
% 5.94/1.38 fof(f75,plain,(
% 5.94/1.38 ![X0,X1,X2]: (mult(mult(X0,X1),X2)=mult(mult(mult(rd(X0,mult(X1,X1)),X1),X1),mult(X1,X2)))),
% 5.94/1.38 inference(paramodulation,[status(thm)],[f27,f12])).
% 5.94/1.38 fof(f76,plain,(
% 5.94/1.38 ![X0,X1,X2]: (rd(mult(X0,X1),mult(X2,X1))=mult(rd(X0,mult(X2,X2)),X2))),
% 5.94/1.38 inference(paramodulation,[status(thm)],[f27,f11])).
% 5.94/1.38 fof(f83,plain,(
% 5.94/1.38 ![X0,X1,X2]: (mult(mult(X0,X1),X2)=mult(mult(X0,ld(X1,X1)),mult(X1,X2)))),
% 5.94/1.38 inference(forward_demodulation,[status(thm)],[f73,f75])).
% 5.94/1.38 fof(f185,plain,(
% 5.94/1.38 ![X0,X1,X2]: (mult(mult(X0,X1),ld(X1,X2))=mult(mult(X0,ld(X1,X1)),X2))),
% 5.94/1.38 inference(paramodulation,[status(thm)],[f8,f83])).
% 5.94/1.38 fof(f422,plain,(
% 5.94/1.38 ![X0,X1,X2,X3]: (rd(mult(X0,X1),mult(X2,X1))=rd(mult(X0,X3),mult(X2,X3)))),
% 5.94/1.38 inference(paramodulation,[status(thm)],[f76,f76])).
% 5.94/1.38 fof(f1656,plain,(
% 5.94/1.38 ![X0,X1,X2,X3]: (rd(X0,mult(X1,ld(X2,X0)))=rd(mult(X2,X3),mult(X1,X3)))),
% 5.94/1.38 inference(paramodulation,[status(thm)],[f8,f422])).
% 5.94/1.38 fof(f2606,plain,(
% 5.94/1.38 ![X0,X1,X2]: (rd(X0,X0)=rd(mult(X1,X2),mult(X1,X2)))),
% 5.94/1.38 inference(paramodulation,[status(thm)],[f8,f1656])).
% 5.94/1.38 fof(f2693,plain,(
% 5.94/1.38 ![X0,X1]: (rd(X0,X0)=rd(X1,X1))),
% 5.94/1.38 inference(paramodulation,[status(thm)],[f2606,f2606])).
% 5.94/1.38 fof(f2792,plain,(
% 5.94/1.38 ![X0,X1]: (mult(rd(X0,X0),X1)=X1)),
% 5.94/1.38 inference(paramodulation,[status(thm)],[f2693,f10])).
% 5.94/1.38 fof(f2860,plain,(
% 5.94/1.38 ![X0]: (~mult(sK0_skl(rd(X0,X0)),rd(X0,X0))=sK0_skl(rd(X0,X0)))),
% 5.94/1.38 inference(resolution,[status(thm)],[f2792,f16])).
% 5.94/1.38 fof(f2882,plain,(
% 5.94/1.38 ![X0,X1,X2]: (mult(mult(rd(X0,X0),X1),ld(X1,X2))=mult(ld(X1,X1),X2))),
% 5.94/1.38 inference(paramodulation,[status(thm)],[f2792,f185])).
% 5.94/1.38 fof(f2947,plain,(
% 5.94/1.38 ![X0,X1]: (mult(X0,ld(X0,X1))=mult(ld(X0,X0),X1))),
% 5.94/1.38 inference(forward_demodulation,[status(thm)],[f2792,f2882])).
% 5.94/1.38 fof(f2958,plain,(
% 5.94/1.38 ![X0,X1]: (X0=mult(ld(X1,X1),X0))),
% 5.94/1.38 inference(forward_demodulation,[status(thm)],[f8,f2947])).
% 5.94/1.40 fof(f3569,plain,(
% 5.94/1.40 ![X0,X1]: (rd(X0,X0)=ld(X1,X1))),
% 5.94/1.40 inference(paramodulation,[status(thm)],[f2958,f11])).
% 5.94/1.40 fof(f3730,plain,(
% 5.94/1.40 ![X0,X1]: (mult(X0,rd(X1,X1))=X0)),
% 5.94/1.40 inference(paramodulation,[status(thm)],[f3569,f8])).
% 5.94/1.40 fof(f3742,plain,(
% 5.94/1.40 ![X0]: (~sK0_skl(rd(X0,X0))=sK0_skl(rd(X0,X0)))),
% 5.94/1.40 inference(backward_demodulation,[status(thm)],[f3730,f2860])).
% 5.94/1.40 fof(f3994,plain,(
% 5.94/1.40 $false),
% 5.94/1.40 inference(trivial_equality_resolution,[status(thm)],[f3742])).
% 5.94/1.40 % SZS output end CNFRefutation for theBenchmark.p
% 1.53/1.42 % Elapsed time: 0.980241 seconds
% 1.53/1.42 % CPU time: 7.455943 seconds
% 1.53/1.42 % Total memory used: 223.477 MB
% 1.53/1.42 % Net memory used: 221.513 MB
%------------------------------------------------------------------------------