%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC358+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 02:42:15 PM UTC 2026
% Result : Theorem 0.09s 0.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC358+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n015.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 08:21:36 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.38 % Refutation found
% 0.09/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.38 fof(f15,axiom,(
% 0.09/0.38 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f96,conjecture,(
% 0.09/0.38 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| segmentP(V,U)| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ segmentP(X,W) ) ) ) ) )) )) )) )),
% 0.09/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.38 fof(f97,negated_conjecture,(
% 0.09/0.38 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| segmentP(V,U)| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ segmentP(X,W) ) ) ) ) )) )) )) ))),
% 0.09/0.38 inference(negated_conjecture,[status(cth)],[f96])).
% 0.09/0.38 fof(f217,plain,(
% 0.09/0.38 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.09/0.38 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.09/0.38 fof(f218,plain,(
% 0.09/0.38 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.09/0.38 inference(NNF_transformation,[status(thm)],[f217])).
% 0.09/0.38 fof(f219,plain,(
% 0.09/0.38 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f218])).
% 0.09/0.38 fof(f415,plain,(
% 0.09/0.38 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&neq(V,nil))&~segmentP(V,U))&((nil=X&nil=W)|(neq(W,nil)&segmentP(X,W))))))))))))),
% 0.09/0.38 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.09/0.38 fof(f416,definition,(
% 0.09/0.38 ![W,X]: (sP0_prd(X,W)<=>(nil=X&nil=W))),
% 0.09/0.38 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.09/0.38 fof(f417,plain,(
% 0.09/0.38 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&neq(V,nil))&~segmentP(V,U))&(sP0_prd(X,W)|(neq(W,nil)&segmentP(X,W)))))))))))),
% 0.09/0.38 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.09/0.38 fof(f418,plain,(
% 0.09/0.38 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&((((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&neq(sK48_skl,nil))&~segmentP(sK48_skl,sK47_skl))&(sP0_prd(sK50_skl,sK49_skl)|(neq(sK49_skl,nil)&segmentP(sK50_skl,sK49_skl))))))))),
% 0.09/0.38 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl)],[f417])).
% 0.09/0.38 fof(f419,plain,(
% 0.09/0.38 ssList(sK47_skl)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f418])).
% 0.09/0.38 fof(f423,plain,(
% 0.09/0.38 sK48_skl=sK50_skl),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f418])).
% 0.09/0.38 fof(f424,plain,(
% 0.09/0.38 sK47_skl=sK49_skl),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f418])).
% 0.09/0.38 fof(f425,plain,(
% 0.09/0.38 neq(sK48_skl,nil)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f418])).
% 0.09/0.38 fof(f426,plain,(
% 0.09/0.38 ~segmentP(sK48_skl,sK47_skl)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f418])).
% 0.09/0.38 fof(f428,plain,(
% 0.09/0.38 sP0_prd(sK50_skl,sK49_skl)|segmentP(sK50_skl,sK49_skl)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f418])).
% 0.09/0.38 fof(f429,plain,(
% 0.09/0.38 ![W,X]: ((~sP0_prd(X,W)|(nil=X&nil=W))&(sP0_prd(X,W)|(~nil=X|~nil=W)))),
% 0.09/0.38 inference(NNF_transformation,[status(thm)],[f416])).
% 0.09/0.38 fof(f430,plain,(
% 0.09/0.38 (![W,X]: (~sP0_prd(X,W)|(nil=X&nil=W)))&(![W,X]: (sP0_prd(X,W)|(~nil=X|~nil=W)))),
% 0.09/0.38 inference(miniscoping,[status(thm)],[f429])).
% 0.09/0.38 fof(f431,plain,(
% 0.09/0.38 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X0)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f430])).
% 0.09/0.38 fof(f432,plain,(
% 0.09/0.38 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X1)),
% 0.09/0.38 inference(cnf_transformation,[status(thm)],[f430])).
% 0.09/0.38 fof(f449,plain,(
% 0.09/0.38 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.09/0.38 inference(destructive_equality_resolution,[status(thm)],[f219])).
% 0.09/0.38 fof(f450,plain,(
% 0.09/0.38 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.09/0.38 inference(duplicate_literals_removal,[status(thm)],[f449])).
% 0.09/0.38 fof(f478,plain,(
% 0.09/0.38 sP0_prd(sK48_skl,sK49_skl)|segmentP(sK50_skl,sK49_skl)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f423,f428])).
% 0.09/0.38 fof(f479,plain,(
% 0.09/0.38 sP0_prd(sK48_skl,sK47_skl)|segmentP(sK50_skl,sK49_skl)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f424,f478])).
% 0.09/0.38 fof(f480,plain,(
% 0.09/0.38 sP0_prd(sK48_skl,sK47_skl)|segmentP(sK48_skl,sK49_skl)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f423,f479])).
% 0.09/0.38 fof(f481,plain,(
% 0.09/0.38 sP0_prd(sK48_skl,sK47_skl)|segmentP(sK48_skl,sK47_skl)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f424,f480])).
% 0.09/0.38 fof(f482,plain,(
% 0.09/0.38 sP0_prd(sK48_skl,sK47_skl)),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f481,f426])).
% 0.09/0.38 fof(f483,plain,(
% 0.09/0.38 nil=sK48_skl),
% 0.09/0.38 inference(resolution,[status(thm)],[f482,f431])).
% 0.09/0.38 fof(f490,plain,(
% 0.09/0.38 neq(sK48_skl,sK48_skl)),
% 0.09/0.38 inference(backward_demodulation,[status(thm)],[f483,f425])).
% 0.09/0.38 fof(f523,plain,(
% 0.09/0.38 ![X0,X1]: (~sP0_prd(X0,X1)|sK48_skl=X1)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f483,f432])).
% 0.09/0.38 fof(f524,plain,(
% 0.09/0.38 sK48_skl=sK47_skl),
% 0.09/0.38 inference(resolution,[status(thm)],[f523,f482])).
% 0.09/0.38 fof(f546,plain,(
% 0.09/0.38 neq(sK47_skl,sK48_skl)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f524,f490])).
% 0.09/0.38 fof(f547,plain,(
% 0.09/0.38 neq(sK47_skl,sK47_skl)),
% 0.09/0.38 inference(forward_demodulation,[status(thm)],[f524,f546])).
% 0.09/0.38 fof(f548,plain,(
% 0.09/0.38 ~ssList(sK47_skl)),
% 0.09/0.38 inference(resolution,[status(thm)],[f547,f450])).
% 0.09/0.38 fof(f549,plain,(
% 0.09/0.38 $false),
% 0.09/0.38 inference(forward_subsumption_resolution,[status(thm)],[f548,f419])).
% 0.09/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.056759 seconds
% 0.14/0.41 % CPU time: 0.137808 seconds
% 0.14/0.41 % Total memory used: 69.064 MB
% 0.14/0.41 % Net memory used: 68.974 MB
%------------------------------------------------------------------------------