%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP657+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 : n018.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 0.10s 0.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP657+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
% 0.10/0.36 % Computer : n018.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 20:31:58 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.44 % Refutation found
% 0.10/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.10/0.44 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.44 fof(f1,axiom,(
% 0.10/0.44 (! [B,A] : mult(A,ld(A,B)) = B )),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f2,axiom,(
% 0.10/0.44 (! [B,A] : ld(A,mult(A,B)) = B )),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f3,axiom,(
% 0.10/0.44 (! [B,A] : mult(rd(A,B),B) = A )),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f4,axiom,(
% 0.10/0.44 (! [B,A] : rd(mult(A,B),B) = A )),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f5,axiom,(
% 0.10/0.44 (! [C,B,A] : mult(mult(A,B),mult(C,A)) = mult(A,mult(mult(B,C),A)) )),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f6,conjecture,(
% 0.10/0.44 (? [X0] :(! [X1] :( mult(X1,X0) = X1& mult(X0,X1) = X1 ) ))),
% 0.10/0.44 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.44 fof(f7,negated_conjecture,(
% 0.10/0.44 ~((? [X0] :(! [X1] :( mult(X1,X0) = X1& mult(X0,X1) = X1 ) )))),
% 0.10/0.44 inference(negated_conjecture,[status(cth)],[f6])).
% 0.10/0.44 fof(f8,plain,(
% 0.10/0.44 ![X0,X1]: (mult(X0,ld(X0,X1))=X1)),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.44 fof(f9,plain,(
% 0.10/0.44 ![X0,X1]: (ld(X0,mult(X0,X1))=X1)),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.44 fof(f10,plain,(
% 0.10/0.44 ![X0,X1]: (mult(rd(X0,X1),X1)=X0)),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.44 fof(f11,plain,(
% 0.10/0.44 ![X0,X1]: (rd(mult(X0,X1),X1)=X0)),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.44 fof(f12,plain,(
% 0.10/0.44 ![X0,X1,X2]: (mult(mult(X0,X1),mult(X2,X0))=mult(X0,mult(mult(X1,X2),X0)))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f5])).
% 0.10/0.44 fof(f13,plain,(
% 0.10/0.44 (![X0]: ?[X1]: (~mult(X1,X0)=X1|~mult(X0,X1)=X1))),
% 0.10/0.44 inference(pre_NNF_transformation,[status(thm)],[f7])).
% 0.10/0.44 fof(f14,plain,(
% 0.10/0.44 ![X0]: ((?[X1]: ~mult(X1,X0)=X1)|(?[X1]: ~mult(X0,X1)=X1))),
% 0.10/0.44 inference(miniscoping,[status(thm)],[f13])).
% 0.10/0.44 fof(f15,plain,(
% 0.10/0.44 ![X0]: (~mult(sK0_skl(X0),X0)=sK0_skl(X0)|~mult(X0,sK1_skl(X0))=sK1_skl(X0))),
% 0.10/0.44 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X1,sK0_skl(X0)),skolemize(X1,sK1_skl(X0))],[f14])).
% 0.10/0.44 fof(f16,plain,(
% 0.10/0.44 ![X0]: (~mult(sK0_skl(X0),X0)=sK0_skl(X0)|~mult(X0,sK1_skl(X0))=sK1_skl(X0))),
% 0.10/0.44 inference(cnf_transformation,[status(thm)],[f15])).
% 0.10/0.44 fof(f25,plain,(
% 0.10/0.44 ![X0,X1,X2]: (mult(X0,mult(X1,X2))=mult(X2,mult(mult(ld(X2,X0),X1),X2)))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f8,f12])).
% 0.10/0.44 fof(f29,plain,(
% 0.10/0.44 ![X0,X1,X2]: (rd(mult(X0,mult(mult(X1,X2),X0)),mult(X2,X0))=mult(X0,X1))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f12,f11])).
% 0.10/0.44 fof(f38,plain,(
% 0.10/0.44 ![X0,X1,X2]: (mult(X0,mult(ld(ld(X1,X0),X2),X1))=mult(X1,mult(X2,X1)))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f8,f25])).
% 0.10/0.44 fof(f43,plain,(
% 0.10/0.44 ![X0,X1,X2]: (rd(mult(X0,mult(X1,X2)),mult(mult(ld(X2,X0),X1),X2))=X2)),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f25,f11])).
% 0.10/0.44 fof(f121,plain,(
% 0.10/0.44 ![X0,X1,X2]: (rd(mult(X0,mult(X1,X0)),mult(X2,X0))=mult(X0,rd(X1,X2)))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f10,f29])).
% 0.10/0.44 fof(f317,plain,(
% 0.10/0.44 ![X0,X1,X2]: (rd(mult(X0,mult(X1,X0)),mult(mult(ld(X0,X2),ld(ld(X0,X2),X1)),X0))=X0)),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f38,f43])).
% 0.10/0.44 fof(f344,plain,(
% 0.10/0.44 ![X0,X1,X2]: (mult(X0,rd(X1,mult(ld(X0,X2),ld(ld(X0,X2),X1))))=X0)),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f121,f317])).
% 0.10/0.44 fof(f346,plain,(
% 0.10/0.44 ![X0,X1]: (mult(X0,rd(X1,X1))=X0)),
% 0.10/0.44 inference(forward_demodulation,[status(thm)],[f8,f344])).
% 0.10/0.44 fof(f352,plain,(
% 0.10/0.44 ![X0]: (~mult(rd(X0,X0),sK1_skl(rd(X0,X0)))=sK1_skl(rd(X0,X0)))),
% 0.10/0.44 inference(resolution,[status(thm)],[f346,f16])).
% 0.10/0.44 fof(f374,plain,(
% 0.10/0.44 ![X0,X1]: (ld(X0,X0)=rd(X1,X1))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f346,f9])).
% 0.10/0.44 fof(f451,plain,(
% 0.10/0.44 ![X0,X1]: (rd(X0,X0)=rd(X1,X1))),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f374,f374])).
% 0.10/0.44 fof(f548,plain,(
% 0.10/0.44 ![X0,X1]: (mult(rd(X0,X0),X1)=X1)),
% 0.10/0.44 inference(paramodulation,[status(thm)],[f451,f10])).
% 0.10/0.44 fof(f560,plain,(
% 0.10/0.44 ![X0]: (~sK1_skl(rd(X0,X0))=sK1_skl(rd(X0,X0)))),
% 0.10/0.44 inference(backward_demodulation,[status(thm)],[f548,f352])).
% 0.10/0.44 fof(f570,plain,(
% 0.10/0.44 $false),
% 0.10/0.44 inference(trivial_equality_resolution,[status(thm)],[f560])).
% 0.10/0.44 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.46 % Elapsed time: 0.092104 seconds
% 0.10/0.46 % CPU time: 0.492552 seconds
% 0.10/0.46 % Total memory used: 81.580 MB
% 0.10/0.46 % Net memory used: 81.167 MB
%------------------------------------------------------------------------------