%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : GEO082+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 : n008.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 12:25:43 PM UTC 2026
% Result : Theorem 0.12s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO082+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
% 0.06/0.34 % Computer : n008.cluster.edu
% 0.06/0.34 % Model : x86_64 x86_64
% 0.06/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.34 % Memory : 8046.5625MB
% 0.06/0.34 % OS : Linux 6.8.0-71-generic
% 0.06/0.34 % CPULimit : 300
% 0.06/0.34 % WCLimit : 300
% 0.06/0.34 % DateTime : Sun Sep 20 10:08:23 UTC 2026
% 0.06/0.35 % CPUTime :
% 0.06/0.36 % Drodi V4.1.1
% 0.12/0.45 % Refutation found
% 0.12/0.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.45 fof(f1,axiom,(
% 0.12/0.45 (! [C,C1] :( part_of(C1,C)<=> (! [P] :( incident_c(P,C1)=> incident_c(P,C) ) )) )),
% 0.12/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f2,axiom,(
% 0.12/0.45 (! [C,C1,C2] :( C = sum(C1,C2)<=> (! [Q] :( incident_c(Q,C)<=> ( incident_c(Q,C1)| incident_c(Q,C2) ) ) )) )),
% 0.12/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f17,conjecture,(
% 0.12/0.45 (! [C1,C2] :( ( part_of(C1,C2)& part_of(C2,C1) )=> C1 = C2 ) )),
% 0.12/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.45 fof(f18,negated_conjecture,(
% 0.12/0.45 ~((! [C1,C2] :( ( part_of(C1,C2)& part_of(C2,C1) )=> C1 = C2 ) ))),
% 0.12/0.45 inference(negated_conjecture,[status(cth)],[f17])).
% 0.12/0.45 fof(f19,plain,(
% 0.12/0.45 ![C,C1]: (part_of(C1,C)<=>(![P]: (~incident_c(P,C1)|incident_c(P,C))))),
% 0.12/0.45 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.12/0.45 fof(f20,plain,(
% 0.12/0.45 ![C,C1]: ((~part_of(C1,C)|(![P]: (~incident_c(P,C1)|incident_c(P,C))))&(part_of(C1,C)|(?[P]: (incident_c(P,C1)&~incident_c(P,C)))))),
% 0.12/0.45 inference(NNF_transformation,[status(thm)],[f19])).
% 0.12/0.45 fof(f21,plain,(
% 0.12/0.45 (![C,C1]: (~part_of(C1,C)|(![P]: (~incident_c(P,C1)|incident_c(P,C)))))&(![C,C1]: (part_of(C1,C)|(?[P]: (incident_c(P,C1)&~incident_c(P,C)))))),
% 0.12/0.45 inference(miniscoping,[status(thm)],[f20])).
% 0.12/0.45 fof(f22,plain,(
% 0.12/0.45 (![C,C1]: (~part_of(C1,C)|(![P]: (~incident_c(P,C1)|incident_c(P,C)))))&(![C,C1]: (part_of(C1,C)|(incident_c(sK0_skl(C1,C),C1)&~incident_c(sK0_skl(C1,C),C))))),
% 0.12/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(P,sK0_skl(C1,C))],[f21])).
% 0.12/0.45 fof(f23,plain,(
% 0.12/0.45 ![X0,X1,X2]: (~part_of(X0,X1)|~incident_c(X2,X0)|incident_c(X2,X1))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f22])).
% 0.12/0.45 fof(f26,plain,(
% 0.12/0.45 ![C,C1,C2]: ((~C=sum(C1,C2)|(![Q]: ((~incident_c(Q,C)|(incident_c(Q,C1)|incident_c(Q,C2)))&(incident_c(Q,C)|(~incident_c(Q,C1)&~incident_c(Q,C2))))))&(C=sum(C1,C2)|(?[Q]: ((~incident_c(Q,C)|(~incident_c(Q,C1)&~incident_c(Q,C2)))&(incident_c(Q,C)|(incident_c(Q,C1)|incident_c(Q,C2)))))))),
% 0.12/0.45 inference(NNF_transformation,[status(thm)],[f2])).
% 0.12/0.45 fof(f27,plain,(
% 0.12/0.45 (![C,C1,C2]: (~C=sum(C1,C2)|((![Q]: (~incident_c(Q,C)|(incident_c(Q,C1)|incident_c(Q,C2))))&(![Q]: (incident_c(Q,C)|(~incident_c(Q,C1)&~incident_c(Q,C2)))))))&(![C,C1,C2]: (C=sum(C1,C2)|(?[Q]: ((~incident_c(Q,C)|(~incident_c(Q,C1)&~incident_c(Q,C2)))&(incident_c(Q,C)|(incident_c(Q,C1)|incident_c(Q,C2)))))))),
% 0.12/0.45 inference(miniscoping,[status(thm)],[f26])).
% 0.12/0.45 fof(f28,plain,(
% 0.12/0.45 (![C,C1,C2]: (~C=sum(C1,C2)|((![Q]: (~incident_c(Q,C)|(incident_c(Q,C1)|incident_c(Q,C2))))&(![Q]: (incident_c(Q,C)|(~incident_c(Q,C1)&~incident_c(Q,C2)))))))&(![C,C1,C2]: (C=sum(C1,C2)|((~incident_c(sK1_skl(C2,C1,C),C)|(~incident_c(sK1_skl(C2,C1,C),C1)&~incident_c(sK1_skl(C2,C1,C),C2)))&(incident_c(sK1_skl(C2,C1,C),C)|(incident_c(sK1_skl(C2,C1,C),C1)|incident_c(sK1_skl(C2,C1,C),C2))))))),
% 0.12/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(Q,sK1_skl(C2,C1,C))],[f27])).
% 0.12/0.45 fof(f33,plain,(
% 0.12/0.45 ![X0,X1,X2]: (X0=sum(X1,X2)|~incident_c(sK1_skl(X2,X1,X0),X0)|~incident_c(sK1_skl(X2,X1,X0),X2))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.45 fof(f34,plain,(
% 0.12/0.45 ![X0,X1,X2]: (X0=sum(X1,X2)|incident_c(sK1_skl(X2,X1,X0),X0)|incident_c(sK1_skl(X2,X1,X0),X1)|incident_c(sK1_skl(X2,X1,X0),X2))),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f28])).
% 0.12/0.45 fof(f104,plain,(
% 0.12/0.45 (?[C1,C2]: ((part_of(C1,C2)&part_of(C2,C1))&~C1=C2))),
% 0.12/0.45 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.12/0.45 fof(f105,plain,(
% 0.12/0.45 ((part_of(sK13_skl,sK14_skl)&part_of(sK14_skl,sK13_skl))&~sK13_skl=sK14_skl)),
% 0.12/0.45 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl,sK14_skl]),skolemize(C1,sK13_skl),skolemize(C2,sK14_skl)],[f104])).
% 0.12/0.45 fof(f106,plain,(
% 0.12/0.45 part_of(sK13_skl,sK14_skl)),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f105])).
% 0.12/0.45 fof(f107,plain,(
% 0.12/0.45 part_of(sK14_skl,sK13_skl)),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f105])).
% 0.12/0.45 fof(f108,plain,(
% 0.12/0.45 ~sK13_skl=sK14_skl),
% 0.12/0.45 inference(cnf_transformation,[status(thm)],[f105])).
% 0.12/0.45 fof(f109,plain,(
% 0.12/0.45 ![X0]: (~incident_c(X0,sK14_skl)|incident_c(X0,sK13_skl))),
% 0.12/0.46 inference(resolution,[status(thm)],[f23,f107])).
% 0.12/0.46 fof(f110,plain,(
% 0.12/0.46 ![X0]: (~incident_c(X0,sK13_skl)|incident_c(X0,sK14_skl))),
% 0.12/0.46 inference(resolution,[status(thm)],[f23,f106])).
% 0.12/0.46 fof(f230,plain,(
% 0.12/0.46 ![X0]: (X0=sum(X0,X0)|X0=sum(X0,X0)|~incident_c(sK1_skl(X0,X0,X0),X0))),
% 0.12/0.46 inference(resolution,[status(thm)],[f34,f33])).
% 0.12/0.46 fof(f235,plain,(
% 0.12/0.46 ![X0,X1]: (sK13_skl=sum(X0,X1)|incident_c(sK1_skl(X1,X0,sK13_skl),X0)|incident_c(sK1_skl(X1,X0,sK13_skl),X1)|incident_c(sK1_skl(X1,X0,sK13_skl),sK14_skl))),
% 0.12/0.46 inference(resolution,[status(thm)],[f34,f110])).
% 0.12/0.46 fof(f255,plain,(
% 0.12/0.46 ![X0]: (X0=sum(X0,X0)|incident_c(sK1_skl(X0,X0,X0),X0))),
% 0.12/0.46 inference(factoring,[status(thm)],[f34])).
% 0.12/0.46 fof(f256,plain,(
% 0.12/0.46 ![X0]: (X0=sum(X0,X0)|~incident_c(sK1_skl(X0,X0,X0),X0))),
% 0.12/0.46 inference(duplicate_literals_removal,[status(thm)],[f230])).
% 0.12/0.46 fof(f265,plain,(
% 0.12/0.46 ![X0]: (X0=sum(X0,X0))),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f255,f256])).
% 0.12/0.46 fof(f289,plain,(
% 0.12/0.46 sK13_skl=sum(sK14_skl,sK14_skl)|sK13_skl=sum(sK14_skl,sK14_skl)|~incident_c(sK1_skl(sK14_skl,sK14_skl,sK13_skl),sK13_skl)),
% 0.12/0.46 inference(resolution,[status(thm)],[f235,f33])).
% 0.12/0.46 fof(f295,plain,(
% 0.12/0.46 sK13_skl=sum(sK14_skl,sK14_skl)|incident_c(sK1_skl(sK14_skl,sK14_skl,sK13_skl),sK13_skl)),
% 0.12/0.46 inference(resolution,[status(thm)],[f235,f109])).
% 0.12/0.46 fof(f318,plain,(
% 0.12/0.46 sK13_skl=sK14_skl|sK13_skl=sum(sK14_skl,sK14_skl)|~incident_c(sK1_skl(sK14_skl,sK14_skl,sK13_skl),sK13_skl)),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f265,f289])).
% 0.12/0.46 fof(f319,plain,(
% 0.12/0.46 sK13_skl=sK14_skl|sK13_skl=sK14_skl|~incident_c(sK1_skl(sK14_skl,sK14_skl,sK13_skl),sK13_skl)),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f265,f318])).
% 0.12/0.46 fof(f320,plain,(
% 0.12/0.46 sK13_skl=sK14_skl|~incident_c(sK1_skl(sK14_skl,sK14_skl,sK13_skl),sK13_skl)),
% 0.12/0.46 inference(duplicate_literals_removal,[status(thm)],[f319])).
% 0.12/0.46 fof(f321,plain,(
% 0.12/0.46 ~incident_c(sK1_skl(sK14_skl,sK14_skl,sK13_skl),sK13_skl)),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f320,f108])).
% 0.12/0.46 fof(f330,plain,(
% 0.12/0.46 sK13_skl=sK14_skl|incident_c(sK1_skl(sK14_skl,sK14_skl,sK13_skl),sK13_skl)),
% 0.12/0.46 inference(forward_demodulation,[status(thm)],[f265,f295])).
% 0.12/0.46 fof(f332,plain,(
% 0.12/0.46 incident_c(sK1_skl(sK14_skl,sK14_skl,sK13_skl),sK13_skl)),
% 0.12/0.46 inference(forward_subsumption_resolution,[status(thm)],[f330,f108])).
% 0.12/0.46 fof(f333,plain,(
% 0.12/0.46 $false),
% 0.12/0.46 inference(backward_subsumption_resolution,[status(thm)],[f321,f332])).
% 0.12/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.47 % Elapsed time: 0.119114 seconds
% 0.12/0.47 % CPU time: 0.674379 seconds
% 0.12/0.47 % Total memory used: 87.353 MB
% 0.12/0.47 % Net memory used: 86.635 MB
%------------------------------------------------------------------------------