%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC050+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 : n009.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 02:41:26 PM UTC 2026
% Result : Theorem 2.55s 0.79s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC050+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
% 0.08/0.35 % Computer : n009.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 07:51:13 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 2.55/0.79 % Refutation found
% 2.55/0.79 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.55/0.79 % SZS output start CNFRefutation for theBenchmark
% 2.55/0.79 fof(f96,conjecture,(
% 2.55/0.79 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& rearsegP(V,Y)& rearsegP(U,Y) ))| (! [Z] :( ssList(Z)=> ( ~ neq(Z,nil)| ~ rearsegP(X,Z)| ~ rearsegP(W,Z) ) ) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) )),
% 2.55/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 2.55/0.79 fof(f97,negated_conjecture,(
% 2.55/0.79 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ( ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& rearsegP(V,Y)& rearsegP(U,Y) ))| (! [Z] :( ssList(Z)=> ( ~ neq(Z,nil)| ~ rearsegP(X,Z)| ~ rearsegP(W,Z) ) ) ))& ( ~ neq(V,nil)| neq(X,nil) ) ) ) ) )) )) )) ))),
% 2.55/0.79 inference(negated_conjecture,[status(cth)],[f96])).
% 2.55/0.79 fof(f415,plain,(
% 2.55/0.79 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(((neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~rearsegP(V,Y))|~rearsegP(U,Y))))&(?[Z]: (ssList(Z)&((neq(Z,nil)&rearsegP(X,Z))&rearsegP(W,Z)))))|(neq(V,nil)&~neq(X,nil))))))))))))),
% 2.55/0.79 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 2.55/0.79 fof(f416,definition,(
% 2.55/0.79 ![U,V,W,X]: (sP0_prd(X,W,V,U)<=>((neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~rearsegP(V,Y))|~rearsegP(U,Y))))&(?[Z]: (ssList(Z)&((neq(Z,nil)&rearsegP(X,Z))&rearsegP(W,Z))))))),
% 2.55/0.79 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 2.55/0.79 fof(f417,plain,(
% 2.55/0.79 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((V=X&U=W)&(sP0_prd(X,W,V,U)|(neq(V,nil)&~neq(X,nil)))))))))))),
% 2.55/0.79 inference(formula_renaming,[status(thm)],[f415,f416])).
% 2.55/0.79 fof(f418,plain,(
% 2.55/0.79 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&(sP0_prd(sK50_skl,sK49_skl,sK48_skl,sK47_skl)|(neq(sK48_skl,nil)&~neq(sK50_skl,nil))))))))),
% 2.55/0.79 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])).
% 2.55/0.79 fof(f423,plain,(
% 2.55/0.79 sK48_skl=sK50_skl),
% 2.55/0.79 inference(cnf_transformation,[status(thm)],[f418])).
% 2.55/0.79 fof(f424,plain,(
% 2.55/0.79 sK47_skl=sK49_skl),
% 2.55/0.79 inference(cnf_transformation,[status(thm)],[f418])).
% 2.55/0.79 fof(f425,plain,(
% 2.55/0.79 sP0_prd(sK50_skl,sK49_skl,sK48_skl,sK47_skl)|neq(sK48_skl,nil)),
% 2.55/0.79 inference(cnf_transformation,[status(thm)],[f418])).
% 2.55/0.79 fof(f426,plain,(
% 2.55/0.79 sP0_prd(sK50_skl,sK49_skl,sK48_skl,sK47_skl)|~neq(sK50_skl,nil)),
% 2.55/0.79 inference(cnf_transformation,[status(thm)],[f418])).
% 2.55/0.79 fof(f427,plain,(
% 2.55/0.79 ![U,V,W,X]: ((~sP0_prd(X,W,V,U)|((neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~rearsegP(V,Y))|~rearsegP(U,Y))))&(?[Z]: (ssList(Z)&((neq(Z,nil)&rearsegP(X,Z))&rearsegP(W,Z))))))&(sP0_prd(X,W,V,U)|((~neq(V,nil)|(?[Y]: (((ssList(Y)&neq(Y,nil))&rearsegP(V,Y))&rearsegP(U,Y))))|(![Z]: (~ssList(Z)|((~neq(Z,nil)|~rearsegP(X,Z))|~rearsegP(W,Z)))))))),
% 2.55/0.79 inference(NNF_transformation,[status(thm)],[f416])).
% 2.55/0.79 fof(f428,plain,(
% 2.55/0.79 (![U,V,W,X]: (~sP0_prd(X,W,V,U)|((neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~rearsegP(V,Y))|~rearsegP(U,Y))))&(?[Z]: (ssList(Z)&((neq(Z,nil)&rearsegP(X,Z))&rearsegP(W,Z)))))))&(![U,V,W,X]: (sP0_prd(X,W,V,U)|((~neq(V,nil)|(?[Y]: (((ssList(Y)&neq(Y,nil))&rearsegP(V,Y))&rearsegP(U,Y))))|(![Z]: (~ssList(Z)|((~neq(Z,nil)|~rearsegP(X,Z))|~rearsegP(W,Z)))))))),
% 2.55/0.79 inference(miniscoping,[status(thm)],[f427])).
% 2.55/0.79 fof(f429,plain,(
% 2.55/0.79 (![U,V,W,X]: (~sP0_prd(X,W,V,U)|((neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~rearsegP(V,Y))|~rearsegP(U,Y))))&(ssList(sK51_skl(X,W,V,U))&((neq(sK51_skl(X,W,V,U),nil)&rearsegP(X,sK51_skl(X,W,V,U)))&rearsegP(W,sK51_skl(X,W,V,U)))))))&(![U,V,W,X]: (sP0_prd(X,W,V,U)|((~neq(V,nil)|(((ssList(sK52_skl(X,W,V,U))&neq(sK52_skl(X,W,V,U),nil))&rearsegP(V,sK52_skl(X,W,V,U)))&rearsegP(U,sK52_skl(X,W,V,U))))|(![Z]: (~ssList(Z)|((~neq(Z,nil)|~rearsegP(X,Z))|~rearsegP(W,Z)))))))),
% 2.55/0.79 inference(skolemize,[status(esa),new_symbols(skolem,[sK51_skl,sK52_skl]),skolemize(Z,sK51_skl(X,W,V,U)),skolemize(Y,sK52_skl(X,W,V,U))],[f428])).
% 2.55/0.81 fof(f430,plain,(
% 2.55/0.81 ![X0,X1,X2,X3]: (~sP0_prd(X0,X1,X2,X3)|neq(X2,nil))),
% 2.55/0.81 inference(cnf_transformation,[status(thm)],[f429])).
% 2.55/0.81 fof(f431,plain,(
% 2.55/0.81 ![X0,X1,X2,X3,X4]: (~sP0_prd(X0,X1,X2,X3)|~ssList(X4)|~neq(X4,nil)|~rearsegP(X2,X4)|~rearsegP(X3,X4))),
% 2.55/0.81 inference(cnf_transformation,[status(thm)],[f429])).
% 2.55/0.81 fof(f432,plain,(
% 2.55/0.81 ![X0,X1,X2,X3]: (~sP0_prd(X0,X1,X2,X3)|ssList(sK51_skl(X0,X1,X2,X3)))),
% 2.55/0.81 inference(cnf_transformation,[status(thm)],[f429])).
% 2.55/0.81 fof(f433,plain,(
% 2.55/0.81 ![X0,X1,X2,X3]: (~sP0_prd(X0,X1,X2,X3)|neq(sK51_skl(X0,X1,X2,X3),nil))),
% 2.55/0.81 inference(cnf_transformation,[status(thm)],[f429])).
% 2.55/0.81 fof(f434,plain,(
% 2.55/0.81 ![X0,X1,X2,X3]: (~sP0_prd(X0,X1,X2,X3)|rearsegP(X0,sK51_skl(X0,X1,X2,X3)))),
% 2.55/0.81 inference(cnf_transformation,[status(thm)],[f429])).
% 2.55/0.81 fof(f435,plain,(
% 2.55/0.81 ![X0,X1,X2,X3]: (~sP0_prd(X0,X1,X2,X3)|rearsegP(X1,sK51_skl(X0,X1,X2,X3)))),
% 2.55/0.81 inference(cnf_transformation,[status(thm)],[f429])).
% 2.55/0.81 fof(f476,plain,(
% 2.55/0.81 sP0_prd(sK48_skl,sK49_skl,sK48_skl,sK47_skl)|neq(sK48_skl,nil)),
% 2.55/0.81 inference(forward_demodulation,[status(thm)],[f423,f425])).
% 2.55/0.81 fof(f477,plain,(
% 2.55/0.81 sP0_prd(sK48_skl,sK47_skl,sK48_skl,sK47_skl)|neq(sK48_skl,nil)),
% 2.55/0.81 inference(forward_demodulation,[status(thm)],[f424,f476])).
% 2.55/0.81 fof(f493,plain,(
% 2.55/0.81 neq(sK48_skl,nil)),
% 2.55/0.81 inference(backward_subsumption_resolution,[status(thm)],[f477,f430])).
% 2.55/0.81 fof(f494,plain,(
% 2.55/0.81 sP0_prd(sK48_skl,sK49_skl,sK48_skl,sK47_skl)|~neq(sK50_skl,nil)),
% 2.55/0.81 inference(forward_demodulation,[status(thm)],[f423,f426])).
% 2.55/0.81 fof(f495,plain,(
% 2.55/0.81 sP0_prd(sK48_skl,sK47_skl,sK48_skl,sK47_skl)|~neq(sK50_skl,nil)),
% 2.55/0.81 inference(forward_demodulation,[status(thm)],[f424,f494])).
% 2.55/0.81 fof(f496,plain,(
% 2.55/0.81 sP0_prd(sK48_skl,sK47_skl,sK48_skl,sK47_skl)|~neq(sK48_skl,nil)),
% 2.55/0.81 inference(forward_demodulation,[status(thm)],[f423,f495])).
% 2.55/0.81 fof(f499,plain,(
% 2.55/0.81 sP0_prd(sK48_skl,sK47_skl,sK48_skl,sK47_skl)),
% 2.55/0.81 inference(backward_subsumption_resolution,[status(thm)],[f496,f493])).
% 2.55/0.81 fof(f521,plain,(
% 2.55/0.81 ![X0]: (~ssList(X0)|~neq(X0,nil)|~rearsegP(sK48_skl,X0)|~rearsegP(sK47_skl,X0))),
% 2.55/0.81 inference(resolution,[status(thm)],[f499,f431])).
% 2.55/0.81 fof(f523,plain,(
% 2.55/0.81 rearsegP(sK48_skl,sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl))),
% 2.55/0.81 inference(resolution,[status(thm)],[f434,f499])).
% 2.55/0.81 fof(f528,plain,(
% 2.55/0.81 rearsegP(sK47_skl,sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl))),
% 2.55/0.81 inference(resolution,[status(thm)],[f435,f499])).
% 2.55/0.81 fof(f654,plain,(
% 2.55/0.81 ~ssList(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl))|~neq(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl),nil)|~rearsegP(sK48_skl,sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl))),
% 2.55/0.81 inference(resolution,[status(thm)],[f528,f521])).
% 2.55/0.81 fof(f661,plain,(
% 2.55/0.81 ~ssList(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl))|~neq(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl),nil)),
% 2.55/0.81 inference(forward_subsumption_resolution,[status(thm)],[f654,f523])).
% 2.55/0.81 fof(f2179,plain,(
% 2.55/0.81 ~neq(sK51_skl(sK48_skl,sK47_skl,sK48_skl,sK47_skl),nil)|~sP0_prd(sK48_skl,sK47_skl,sK48_skl,sK47_skl)),
% 2.55/0.81 inference(resolution,[status(thm)],[f661,f432])).
% 2.55/0.81 fof(f2180,plain,(
% 2.55/0.81 ~sP0_prd(sK48_skl,sK47_skl,sK48_skl,sK47_skl)),
% 2.55/0.81 inference(forward_subsumption_resolution,[status(thm)],[f2179,f433])).
% 2.55/0.81 fof(f2181,plain,(
% 2.55/0.81 $false),
% 2.55/0.81 inference(forward_subsumption_resolution,[status(thm)],[f2180,f499])).
% 2.55/0.81 % SZS output end CNFRefutation for theBenchmark.p
% 2.55/0.82 % Elapsed time: 0.448995 seconds
% 2.55/0.82 % CPU time: 3.213416 seconds
% 2.55/0.82 % Total memory used: 153.227 MB
% 2.55/0.82 % Net memory used: 150.155 MB
%------------------------------------------------------------------------------