%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC037+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 : n002.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 02:41:24 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC037+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n002.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 07:53:03 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f15,axiom,(
% 0.14/0.40 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f58,axiom,(
% 0.14/0.40 (! [U] :( ssList(U)=> ( segmentP(nil,U)<=> nil = U ) ) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f96,conjecture,(
% 0.14/0.40 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( nil != V| V != X| U != W| nil = U| ( (! [Y] :( ssList(Y)=> ( ~ neq(Y,nil)| ~ segmentP(X,Y)| ~ segmentP(W,Y) ) ))& ( nil != X| nil != W ) ) ) ) )) )) )) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f97,negated_conjecture,(
% 0.14/0.40 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( nil != V| V != X| U != W| nil = U| ( (! [Y] :( ssList(Y)=> ( ~ neq(Y,nil)| ~ segmentP(X,Y)| ~ segmentP(W,Y) ) ))& ( nil != X| nil != W ) ) ) ) )) )) )) ))),
% 0.14/0.40 inference(negated_conjecture,[status(cth)],[f96])).
% 0.14/0.40 fof(f217,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.14/0.40 fof(f218,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.14/0.40 inference(NNF_transformation,[status(thm)],[f217])).
% 0.14/0.40 fof(f219,plain,(
% 0.14/0.40 ![X0,X1]: (~ssList(X0)|~ssList(X1)|~neq(X0,X1)|~X0=X1)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f218])).
% 0.14/0.40 fof(f324,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|(segmentP(nil,U)<=>nil=U))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f58])).
% 0.14/0.40 fof(f325,plain,(
% 0.14/0.40 ![U]: (~ssList(U)|((~segmentP(nil,U)|nil=U)&(segmentP(nil,U)|~nil=U)))),
% 0.14/0.40 inference(NNF_transformation,[status(thm)],[f324])).
% 0.14/0.40 fof(f326,plain,(
% 0.14/0.40 ![X0]: (~ssList(X0)|~segmentP(nil,X0)|nil=X0)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f325])).
% 0.14/0.40 fof(f415,plain,(
% 0.14/0.40 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((nil=V&V=X)&U=W)&~nil=U)&((?[Y]: (ssList(Y)&((neq(Y,nil)&segmentP(X,Y))&segmentP(W,Y))))|(nil=X&nil=W)))))))))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.14/0.40 fof(f416,definition,(
% 0.14/0.40 ![W,X,Y]: (sP0_prd(Y,X,W)<=>(ssList(Y)&((neq(Y,nil)&segmentP(X,Y))&segmentP(W,Y))))),
% 0.14/0.40 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.14/0.40 fof(f417,plain,(
% 0.14/0.40 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((nil=V&V=X)&U=W)&~nil=U)&((?[Y]: sP0_prd(Y,X,W))|(nil=X&nil=W))))))))))),
% 0.14/0.40 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.14/0.40 fof(f418,plain,(
% 0.14/0.40 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&((((nil=sK48_skl&sK48_skl=sK50_skl)&sK47_skl=sK49_skl)&~nil=sK47_skl)&(sP0_prd(sK51_skl,sK50_skl,sK49_skl)|(nil=sK50_skl&nil=sK49_skl)))))))),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl,sK51_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(Y,sK51_skl)],[f417])).
% 0.14/0.40 fof(f420,plain,(
% 0.14/0.40 ssList(sK48_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f418])).
% 0.14/0.40 fof(f423,plain,(
% 0.14/0.40 nil=sK48_skl),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f418])).
% 0.14/0.40 fof(f424,plain,(
% 0.14/0.40 sK48_skl=sK50_skl),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f418])).
% 0.14/0.40 fof(f425,plain,(
% 0.14/0.40 sK47_skl=sK49_skl),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f418])).
% 0.14/0.40 fof(f426,plain,(
% 0.14/0.40 ~nil=sK47_skl),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f418])).
% 0.14/0.40 fof(f428,plain,(
% 0.14/0.40 sP0_prd(sK51_skl,sK50_skl,sK49_skl)|nil=sK49_skl),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f418])).
% 0.14/0.40 fof(f429,plain,(
% 0.14/0.40 ![W,X,Y]: ((~sP0_prd(Y,X,W)|(ssList(Y)&((neq(Y,nil)&segmentP(X,Y))&segmentP(W,Y))))&(sP0_prd(Y,X,W)|(~ssList(Y)|((~neq(Y,nil)|~segmentP(X,Y))|~segmentP(W,Y)))))),
% 0.14/0.40 inference(NNF_transformation,[status(thm)],[f416])).
% 0.14/0.40 fof(f430,plain,(
% 0.14/0.40 (![W,X,Y]: (~sP0_prd(Y,X,W)|(ssList(Y)&((neq(Y,nil)&segmentP(X,Y))&segmentP(W,Y)))))&(![W,X,Y]: (sP0_prd(Y,X,W)|(~ssList(Y)|((~neq(Y,nil)|~segmentP(X,Y))|~segmentP(W,Y)))))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f429])).
% 0.14/0.40 fof(f431,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|ssList(X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f430])).
% 0.14/0.40 fof(f432,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|neq(X0,nil))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f430])).
% 0.14/0.40 fof(f433,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|segmentP(X1,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f430])).
% 0.14/0.40 fof(f451,plain,(
% 0.14/0.40 ![X1]: (~ssList(X1)|~ssList(X1)|~neq(X1,X1))),
% 0.14/0.40 inference(destructive_equality_resolution,[status(thm)],[f219])).
% 0.14/0.40 fof(f452,plain,(
% 0.14/0.40 ![X0]: (~ssList(X0)|~neq(X0,X0))),
% 0.14/0.40 inference(duplicate_literals_removal,[status(thm)],[f451])).
% 0.14/0.40 fof(f474,plain,(
% 0.14/0.40 ~sK48_skl=sK47_skl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f423,f426])).
% 0.14/0.40 fof(f493,plain,(
% 0.14/0.40 sP0_prd(sK51_skl,sK48_skl,sK49_skl)|nil=sK49_skl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f424,f428])).
% 0.14/0.40 fof(f494,plain,(
% 0.14/0.40 sP0_prd(sK51_skl,sK48_skl,sK47_skl)|nil=sK49_skl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f425,f493])).
% 0.14/0.40 fof(f495,plain,(
% 0.14/0.40 sP0_prd(sK51_skl,sK48_skl,sK47_skl)|sK48_skl=sK49_skl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f423,f494])).
% 0.14/0.40 fof(f496,plain,(
% 0.14/0.40 sP0_prd(sK51_skl,sK48_skl,sK47_skl)|sK48_skl=sK47_skl),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f425,f495])).
% 0.14/0.40 fof(f497,plain,(
% 0.14/0.40 sP0_prd(sK51_skl,sK48_skl,sK47_skl)),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f496,f474])).
% 0.14/0.40 fof(f498,plain,(
% 0.14/0.40 ssList(sK51_skl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f497,f431])).
% 0.14/0.40 fof(f510,plain,(
% 0.14/0.40 ![X0]: (~ssList(X0)|~segmentP(sK48_skl,X0)|nil=X0)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f423,f326])).
% 0.14/0.40 fof(f511,plain,(
% 0.14/0.40 ![X0]: (~ssList(X0)|~segmentP(sK48_skl,X0)|sK48_skl=X0)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f423,f510])).
% 0.14/0.40 fof(f534,plain,(
% 0.14/0.40 segmentP(sK48_skl,sK51_skl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f433,f497])).
% 0.14/0.40 fof(f535,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|neq(X0,sK48_skl))),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f423,f432])).
% 0.14/0.40 fof(f536,plain,(
% 0.14/0.40 neq(sK51_skl,sK48_skl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f535,f497])).
% 0.14/0.40 fof(f538,plain,(
% 0.14/0.40 ~ssList(sK51_skl)|sK48_skl=sK51_skl),
% 0.14/0.40 inference(resolution,[status(thm)],[f534,f511])).
% 0.14/0.40 fof(f542,plain,(
% 0.14/0.40 sK48_skl=sK51_skl),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f538,f498])).
% 0.14/0.40 fof(f561,plain,(
% 0.14/0.40 neq(sK48_skl,sK48_skl)),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f542,f536])).
% 0.14/0.40 fof(f563,plain,(
% 0.14/0.40 ~ssList(sK48_skl)),
% 0.14/0.40 inference(resolution,[status(thm)],[f561,f452])).
% 0.14/0.40 fof(f565,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(forward_subsumption_resolution,[status(thm)],[f563,f420])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.069001 seconds
% 0.14/0.42 % CPU time: 0.178808 seconds
% 0.14/0.42 % Total memory used: 110.642 MB
% 0.14/0.42 % Net memory used: 110.475 MB
%------------------------------------------------------------------------------