%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GRP700+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 : 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 12:37:11 PM UTC 2026
% Result : Theorem 0.25s 6.10s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP700+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/5.47 % Computer : n016.cluster.edu
% 0.19/5.47 % Model : x86_64 x86_64
% 0.19/5.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.47 % Memory : 8046.5625MB
% 0.19/5.47 % OS : Linux 6.8.0-71-generic
% 0.19/5.48 % CPULimit : 300
% 0.19/5.48 % WCLimit : 300
% 0.19/5.48 % DateTime : Sun Sep 20 20:38:44 UTC 2026
% 0.19/5.48 % CPUTime :
% 0.19/5.49 % Drodi V4.1.1
% 0.25/6.10 % Refutation found
% 0.25/6.10 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.25/6.10 % SZS output start CNFRefutation for theBenchmark
% 0.25/6.10 fof(f1,axiom,(
% 0.25/6.10 (! [B,A] : mult(A,ld(A,B)) = B )),
% 0.25/6.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/6.10 fof(f2,axiom,(
% 0.25/6.10 (! [B,A] : ld(A,mult(A,B)) = B )),
% 0.25/6.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/6.10 fof(f3,axiom,(
% 0.25/6.10 (! [B,A] : mult(rd(A,B),B) = A )),
% 0.25/6.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/6.10 fof(f4,axiom,(
% 0.25/6.10 (! [B,A] : rd(mult(A,B),B) = A )),
% 0.25/6.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/6.10 fof(f5,axiom,(
% 0.25/6.10 (! [A] : mult(A,unit) = A )),
% 0.25/6.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/6.10 fof(f6,axiom,(
% 0.25/6.10 (! [A] : mult(unit,A) = A )),
% 0.25/6.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/6.10 fof(f7,axiom,(
% 0.25/6.10 (! [C,B,A] : mult(mult(mult(A,B),A),mult(A,C)) = mult(A,mult(mult(mult(B,A),A),C)) )),
% 0.25/6.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/6.10 fof(f9,conjecture,(
% 0.25/6.10 (! [X0] :(? [X1] :( mult(X1,X0) = unit& mult(X0,X1) = unit ) ))),
% 0.25/6.10 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.25/6.10 fof(f10,negated_conjecture,(
% 0.25/6.10 ~((! [X0] :(? [X1] :( mult(X1,X0) = unit& mult(X0,X1) = unit ) )))),
% 0.25/6.10 inference(negated_conjecture,[status(cth)],[f9])).
% 0.25/6.10 fof(f11,plain,(
% 0.25/6.10 ![X0,X1]: (mult(X0,ld(X0,X1))=X1)),
% 0.25/6.10 inference(cnf_transformation,[status(thm)],[f1])).
% 0.25/6.10 fof(f12,plain,(
% 0.25/6.10 ![X0,X1]: (ld(X0,mult(X0,X1))=X1)),
% 0.25/6.10 inference(cnf_transformation,[status(thm)],[f2])).
% 0.25/6.10 fof(f13,plain,(
% 0.25/6.10 ![X0,X1]: (mult(rd(X0,X1),X1)=X0)),
% 0.25/6.10 inference(cnf_transformation,[status(thm)],[f3])).
% 0.25/6.10 fof(f14,plain,(
% 0.25/6.10 ![X0,X1]: (rd(mult(X0,X1),X1)=X0)),
% 0.25/6.10 inference(cnf_transformation,[status(thm)],[f4])).
% 0.25/6.10 fof(f15,plain,(
% 0.25/6.10 ![X0]: (mult(X0,unit)=X0)),
% 0.25/6.10 inference(cnf_transformation,[status(thm)],[f5])).
% 0.25/6.10 fof(f16,plain,(
% 0.25/6.10 ![X0]: (mult(unit,X0)=X0)),
% 0.25/6.10 inference(cnf_transformation,[status(thm)],[f6])).
% 0.25/6.10 fof(f17,plain,(
% 0.25/6.10 ![X0,X1,X2]: (mult(mult(mult(X0,X1),X0),mult(X0,X2))=mult(X0,mult(mult(mult(X1,X0),X0),X2)))),
% 0.25/6.10 inference(cnf_transformation,[status(thm)],[f7])).
% 0.25/6.10 fof(f19,plain,(
% 0.25/6.10 (?[X0]: ![X1]: (~mult(X1,X0)=unit|~mult(X0,X1)=unit))),
% 0.25/6.10 inference(pre_NNF_transformation,[status(thm)],[f10])).
% 0.25/6.10 fof(f20,plain,(
% 0.25/6.10 ![X1]: (~mult(X1,sK0_skl)=unit|~mult(sK0_skl,X1)=unit)),
% 0.25/6.10 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f19])).
% 0.25/6.10 fof(f21,plain,(
% 0.25/6.10 ![X0]: (~mult(X0,sK0_skl)=unit|~mult(sK0_skl,X0)=unit)),
% 0.25/6.10 inference(cnf_transformation,[status(thm)],[f20])).
% 0.25/6.10 fof(f38,plain,(
% 0.25/6.10 ![X0,X1]: (ld(rd(X0,X1),X0)=X1)),
% 0.25/6.10 inference(paramodulation,[status(thm)],[f13,f12])).
% 0.25/6.10 fof(f42,plain,(
% 0.25/6.10 ![X0]: (rd(X0,X0)=unit)),
% 0.25/6.10 inference(paramodulation,[status(thm)],[f16,f14])).
% 0.25/6.10 fof(f58,plain,(
% 0.25/6.10 ![X0,X1]: (mult(mult(mult(X0,X1),X0),X0)=mult(X0,mult(mult(mult(X1,X0),X0),unit)))),
% 0.25/6.10 inference(paramodulation,[status(thm)],[f15,f17])).
% 0.25/6.10 fof(f74,plain,(
% 0.25/6.10 ![X0,X1]: (mult(mult(mult(X0,X1),X0),X0)=mult(X0,mult(mult(X1,X0),X0)))),
% 0.25/6.10 inference(forward_demodulation,[status(thm)],[f15,f58])).
% 0.25/6.10 fof(f88,plain,(
% 0.25/6.10 ~mult(ld(sK0_skl,unit),sK0_skl)=unit),
% 0.25/6.10 inference(resolution,[status(thm)],[f21,f11])).
% 0.25/6.10 fof(f399,plain,(
% 0.25/6.10 ![X0,X1]: (mult(mult(X0,X1),X1)=mult(X1,mult(mult(ld(X1,X0),X1),X1)))),
% 0.25/6.10 inference(paramodulation,[status(thm)],[f11,f74])).
% 0.25/6.10 fof(f1337,plain,(
% 0.25/6.10 ![X0,X1]: (rd(mult(mult(X0,X1),X1),mult(mult(ld(X1,X0),X1),X1))=X1)),
% 0.25/6.10 inference(paramodulation,[status(thm)],[f399,f14])).
% 0.25/6.10 fof(f4756,plain,(
% 0.25/6.10 ![X0]: (rd(mult(X0,X0),mult(mult(ld(X0,unit),X0),X0))=X0)),
% 0.25/6.10 inference(paramodulation,[status(thm)],[f16,f1337])).
% 0.25/6.10 fof(f4864,plain,(
% 0.25/6.10 ![X0]: (ld(X0,mult(X0,X0))=mult(mult(ld(X0,unit),X0),X0))),
% 0.25/6.10 inference(paramodulation,[status(thm)],[f4756,f38])).
% 0.25/6.10 fof(f4933,plain,(
% 0.25/6.10 ![X0]: (X0=mult(mult(ld(X0,unit),X0),X0))),
% 0.25/6.10 inference(forward_demodulation,[status(thm)],[f12,f4864])).
% 0.25/6.10 fof(f4988,plain,(
% 0.25/6.10 ![X0]: (rd(X0,X0)=mult(ld(X0,unit),X0))),
% 0.25/6.10 inference(paramodulation,[status(thm)],[f4933,f14])).
% 0.25/6.10 fof(f5091,plain,(
% 0.25/6.10 ![X0]: (unit=mult(ld(X0,unit),X0))),
% 0.25/6.10 inference(forward_demodulation,[status(thm)],[f42,f4988])).
% 0.25/6.10 fof(f5092,plain,(
% 0.25/6.10 ~unit=unit),
% 0.25/6.10 inference(backward_demodulation,[status(thm)],[f5091,f88])).
% 0.25/6.11 fof(f5140,plain,(
% 0.25/6.11 $false),
% 0.25/6.11 inference(trivial_equality_resolution,[status(thm)],[f5092])).
% 0.25/6.11 % SZS output end CNFRefutation for theBenchmark.p
% 3.16/6.15 % Elapsed time: 0.654336 seconds
% 3.16/6.15 % CPU time: 4.820774 seconds
% 3.16/6.15 % Total memory used: 139.713 MB
% 3.16/6.15 % Net memory used: 138.901 MB
%------------------------------------------------------------------------------