%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO112+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 12:25:48 PM UTC 2026
% Result : Theorem 0.11s 12.33s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO112+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/12.21 % Computer : n012.cluster.edu
% 0.08/12.21 % Model : x86_64 x86_64
% 0.08/12.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/12.21 % Memory : 8046.5625MB
% 0.08/12.21 % OS : Linux 6.8.0-71-generic
% 0.08/12.21 % CPULimit : 300
% 0.08/12.21 % WCLimit : 300
% 0.08/12.21 % DateTime : Sun Sep 20 11:22:41 UTC 2026
% 0.08/12.21 % CPUTime :
% 0.08/12.22 % Drodi V4.1.1
% 0.11/12.33 % Refutation found
% 0.11/12.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/12.33 % SZS output start CNFRefutation for theBenchmark
% 0.11/12.33 fof(f17,axiom,(
% 0.11/12.33 (! [C,P,Q,R] :( between_c(C,P,Q,R)<=> ( P != R& (? [Cpp] :( part_of(Cpp,C)& end_point(P,Cpp)& end_point(R,Cpp)& inner_point(Q,Cpp) ) )) ) )),
% 0.11/12.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/12.33 fof(f18,conjecture,(
% 0.11/12.33 (! [C,P,Q,R] :( between_c(C,P,Q,R)=> between_c(C,R,Q,P) ) )),
% 0.11/12.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/12.33 fof(f19,negated_conjecture,(
% 0.11/12.33 ~((! [C,P,Q,R] :( between_c(C,P,Q,R)=> between_c(C,R,Q,P) ) ))),
% 0.11/12.33 inference(negated_conjecture,[status(cth)],[f18])).
% 0.11/12.33 fof(f105,plain,(
% 0.11/12.33 ![C,P,Q,R]: ((~between_c(C,P,Q,R)|(~P=R&(?[Cpp]: (((part_of(Cpp,C)&end_point(P,Cpp))&end_point(R,Cpp))&inner_point(Q,Cpp)))))&(between_c(C,P,Q,R)|(P=R|(![Cpp]: (((~part_of(Cpp,C)|~end_point(P,Cpp))|~end_point(R,Cpp))|~inner_point(Q,Cpp))))))),
% 0.11/12.33 inference(NNF_transformation,[status(thm)],[f17])).
% 0.11/12.33 fof(f106,plain,(
% 0.11/12.33 (![C,P,Q,R]: (~between_c(C,P,Q,R)|(~P=R&(?[Cpp]: (((part_of(Cpp,C)&end_point(P,Cpp))&end_point(R,Cpp))&inner_point(Q,Cpp))))))&(![C,P,Q,R]: (between_c(C,P,Q,R)|(P=R|(![Cpp]: (((~part_of(Cpp,C)|~end_point(P,Cpp))|~end_point(R,Cpp))|~inner_point(Q,Cpp))))))),
% 0.11/12.33 inference(miniscoping,[status(thm)],[f105])).
% 0.11/12.33 fof(f107,plain,(
% 0.11/12.33 (![C,P,Q,R]: (~between_c(C,P,Q,R)|(~P=R&(((part_of(sK13_skl(R,Q,P,C),C)&end_point(P,sK13_skl(R,Q,P,C)))&end_point(R,sK13_skl(R,Q,P,C)))&inner_point(Q,sK13_skl(R,Q,P,C))))))&(![C,P,Q,R]: (between_c(C,P,Q,R)|(P=R|(![Cpp]: (((~part_of(Cpp,C)|~end_point(P,Cpp))|~end_point(R,Cpp))|~inner_point(Q,Cpp))))))),
% 0.11/12.33 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(Cpp,sK13_skl(R,Q,P,C))],[f106])).
% 0.11/12.33 fof(f108,plain,(
% 0.11/12.33 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|~X1=X3)),
% 0.11/12.33 inference(cnf_transformation,[status(thm)],[f107])).
% 0.11/12.33 fof(f109,plain,(
% 0.11/12.33 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|part_of(sK13_skl(X3,X2,X1,X0),X0))),
% 0.11/12.33 inference(cnf_transformation,[status(thm)],[f107])).
% 0.11/12.33 fof(f110,plain,(
% 0.11/12.33 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|end_point(X1,sK13_skl(X3,X2,X1,X0)))),
% 0.11/12.33 inference(cnf_transformation,[status(thm)],[f107])).
% 0.11/12.33 fof(f111,plain,(
% 0.11/12.33 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|end_point(X3,sK13_skl(X3,X2,X1,X0)))),
% 0.11/12.33 inference(cnf_transformation,[status(thm)],[f107])).
% 0.11/12.33 fof(f112,plain,(
% 0.11/12.33 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|inner_point(X2,sK13_skl(X3,X2,X1,X0)))),
% 0.11/12.33 inference(cnf_transformation,[status(thm)],[f107])).
% 0.11/12.33 fof(f113,plain,(
% 0.11/12.33 ![X0,X1,X2,X3,X4]: (between_c(X0,X1,X2,X3)|X1=X3|~part_of(X4,X0)|~end_point(X1,X4)|~end_point(X3,X4)|~inner_point(X2,X4))),
% 0.11/12.33 inference(cnf_transformation,[status(thm)],[f107])).
% 0.11/12.33 fof(f114,plain,(
% 0.11/12.33 (?[C,P,Q,R]: (between_c(C,P,Q,R)&~between_c(C,R,Q,P)))),
% 0.11/12.33 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.11/12.33 fof(f115,plain,(
% 0.11/12.33 (between_c(sK14_skl,sK15_skl,sK16_skl,sK17_skl)&~between_c(sK14_skl,sK17_skl,sK16_skl,sK15_skl))),
% 0.11/12.33 inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl,sK15_skl,sK16_skl,sK17_skl]),skolemize(C,sK14_skl),skolemize(P,sK15_skl),skolemize(Q,sK16_skl),skolemize(R,sK17_skl)],[f114])).
% 0.11/12.33 fof(f116,plain,(
% 0.11/12.33 between_c(sK14_skl,sK15_skl,sK16_skl,sK17_skl)),
% 0.11/12.33 inference(cnf_transformation,[status(thm)],[f115])).
% 0.11/12.33 fof(f117,plain,(
% 0.11/12.33 ~between_c(sK14_skl,sK17_skl,sK16_skl,sK15_skl)),
% 0.11/12.33 inference(cnf_transformation,[status(thm)],[f115])).
% 0.11/12.33 fof(f122,plain,(
% 0.11/12.33 ![X0,X1,X2]: (~between_c(X0,X1,X2,X1))),
% 0.11/12.33 inference(destructive_equality_resolution,[status(thm)],[f108])).
% 0.11/12.33 fof(f377,plain,(
% 0.11/12.33 ![X0,X1,X2,X3,X4,X5,X6]: (~between_c(X0,X1,X2,X3)|between_c(X4,X5,X6,X1)|X5=X1|~part_of(sK13_skl(X3,X2,X1,X0),X4)|~end_point(X5,sK13_skl(X3,X2,X1,X0))|~inner_point(X6,sK13_skl(X3,X2,X1,X0)))),
% 0.11/12.33 inference(resolution,[status(thm)],[f110,f113])).
% 0.11/12.33 fof(f639,plain,(
% 0.11/12.33 ![X0,X1,X2,X3,X4,X5]: (~between_c(X0,X1,X2,X3)|between_c(X0,X4,X5,X1)|X4=X1|~end_point(X4,sK13_skl(X3,X2,X1,X0))|~inner_point(X5,sK13_skl(X3,X2,X1,X0))|~between_c(X0,X1,X2,X3))),
% 0.11/12.33 inference(resolution,[status(thm)],[f377,f109])).
% 0.11/12.33 fof(f641,plain,(
% 0.11/12.33 ![X0,X1,X2,X3,X4,X5]: (~between_c(X0,X1,X2,X3)|between_c(X0,X4,X5,X1)|X4=X1|~end_point(X4,sK13_skl(X3,X2,X1,X0))|~inner_point(X5,sK13_skl(X3,X2,X1,X0)))),
% 0.11/12.33 inference(duplicate_literals_removal,[status(thm)],[f639])).
% 0.11/12.33 fof(f803,plain,(
% 0.11/12.33 ![X0,X1,X2,X3,X4]: (~between_c(X0,X1,X2,X3)|between_c(X0,X4,X2,X1)|X4=X1|~end_point(X4,sK13_skl(X3,X2,X1,X0))|~between_c(X0,X1,X2,X3))),
% 0.11/12.33 inference(resolution,[status(thm)],[f641,f112])).
% 0.11/12.33 fof(f804,plain,(
% 0.11/12.33 ![X0,X1,X2,X3,X4]: (~between_c(X0,X1,X2,X3)|between_c(X0,X4,X2,X1)|X4=X1|~end_point(X4,sK13_skl(X3,X2,X1,X0)))),
% 0.11/12.33 inference(duplicate_literals_removal,[status(thm)],[f803])).
% 0.11/12.33 fof(f809,plain,(
% 0.11/12.33 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|between_c(X0,X3,X2,X1)|X3=X1|~between_c(X0,X1,X2,X3))),
% 0.11/12.33 inference(resolution,[status(thm)],[f804,f111])).
% 0.11/12.33 fof(f811,plain,(
% 0.11/12.33 ![X0,X1,X2,X3]: (~between_c(X0,X1,X2,X3)|between_c(X0,X3,X2,X1)|X3=X1)),
% 0.11/12.33 inference(duplicate_literals_removal,[status(thm)],[f809])).
% 0.11/12.33 fof(f812,plain,(
% 0.11/12.33 ~between_c(sK14_skl,sK15_skl,sK16_skl,sK17_skl)|sK17_skl=sK15_skl),
% 0.11/12.33 inference(resolution,[status(thm)],[f811,f117])).
% 0.11/12.33 fof(f817,definition,(
% 0.11/12.33 sQ42_spl <=> (between_c(sK14_skl,sK15_skl,sK16_skl,sK17_skl))),
% 0.11/12.33 introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition])).
% 0.11/12.33 fof(f819,plain,(
% 0.11/12.33 ~between_c(sK14_skl,sK15_skl,sK16_skl,sK17_skl)|sQ42_spl),
% 0.11/12.33 inference(component_clause,[status(thm)],[f817])).
% 0.11/12.33 fof(f820,definition,(
% 0.11/12.33 sQ43_spl <=> (sK17_skl=sK15_skl)),
% 0.11/12.33 introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition])).
% 0.11/12.33 fof(f821,plain,(
% 0.11/12.33 sK17_skl=sK15_skl|~sQ43_spl),
% 0.11/12.33 inference(component_clause,[status(thm)],[f820])).
% 0.11/12.33 fof(f823,plain,(
% 0.11/12.33 ~sQ42_spl|sQ43_spl),
% 0.11/12.33 inference(split_clause,[status(thm)],[f812,f817,f820])).
% 0.11/12.33 fof(f824,plain,(
% 0.11/12.33 $false|sQ42_spl),
% 0.11/12.33 inference(forward_subsumption_resolution,[status(thm)],[f819,f116])).
% 0.11/12.33 fof(f825,plain,(
% 0.11/12.33 sQ42_spl),
% 0.11/12.33 inference(contradiction_clause,[status(thm)],[f824])).
% 0.11/12.33 fof(f833,plain,(
% 0.11/12.33 between_c(sK14_skl,sK15_skl,sK16_skl,sK15_skl)|~sQ43_spl),
% 0.11/12.33 inference(backward_demodulation,[status(thm)],[f821,f116])).
% 0.11/12.33 fof(f834,plain,(
% 0.11/12.33 $false|~sQ43_spl),
% 0.11/12.33 inference(forward_subsumption_resolution,[status(thm)],[f833,f122])).
% 0.11/12.33 fof(f835,plain,(
% 0.11/12.33 ~sQ43_spl),
% 0.11/12.33 inference(contradiction_clause,[status(thm)],[f834])).
% 0.11/12.33 fof(f836,plain,(
% 0.11/12.33 $false),
% 0.11/12.33 inference(sat_refutation,[status(thm)],[f823,f825,f835])).
% 0.11/12.33 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/12.33 % Elapsed time: 0.113336 seconds
% 0.11/12.33 % CPU time: 0.691300 seconds
% 0.11/12.33 % Total memory used: 94.156 MB
% 0.11/12.33 % Net memory used: 92.710 MB
%------------------------------------------------------------------------------