%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC020+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 : n005.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 02:41:21 PM UTC 2026
% Result : Theorem 0.15s 10.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWC020+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
% 0.12/10.38 % Computer : n005.cluster.edu
% 0.12/10.38 % Model : x86_64 x86_64
% 0.12/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.38 % Memory : 8046.5625MB
% 0.12/10.38 % OS : Linux 6.8.0-71-generic
% 0.12/10.38 % CPULimit : 300
% 0.12/10.38 % WCLimit : 300
% 0.12/10.38 % DateTime : Mon Sep 21 07:49:30 UTC 2026
% 0.12/10.38 % CPUTime :
% 0.15/10.40 % Drodi V4.1.1
% 0.15/10.42 % Refutation found
% 0.15/10.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/10.42 % SZS output start CNFRefutation for theBenchmark
% 0.15/10.42 fof(f42,axiom,(
% 0.15/10.42 (! [U] :( ssList(U)=> frontsegP(U,U) ) )),
% 0.15/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.42 fof(f96,conjecture,(
% 0.15/10.42 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssList(Y)& neq(Y,nil)& frontsegP(V,Y)& frontsegP(U,Y) ))| ( nil = V& nil = U )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ frontsegP(X,W) ) ) ) ) )) )) )) )),
% 0.15/10.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/10.42 fof(f97,negated_conjecture,(
% 0.15/10.42 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssList(Y)& neq(Y,nil)& frontsegP(V,Y)& frontsegP(U,Y) ))| ( nil = V& nil = U )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ frontsegP(X,W) ) ) ) ) )) )) )) ))),
% 0.15/10.42 inference(negated_conjecture,[status(cth)],[f96])).
% 0.15/10.42 fof(f285,plain,(
% 0.15/10.42 ![U]: (~ssList(U)|frontsegP(U,U))),
% 0.15/10.42 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.15/10.42 fof(f286,plain,(
% 0.15/10.42 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 0.15/10.42 inference(cnf_transformation,[status(thm)],[f285])).
% 0.15/10.42 fof(f415,plain,(
% 0.15/10.42 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~frontsegP(V,Y))|~frontsegP(U,Y))))&(~nil=V|~nil=U))&((nil=X&nil=W)|(neq(W,nil)&frontsegP(X,W))))))))))))),
% 0.15/10.42 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.15/10.42 fof(f416,definition,(
% 0.15/10.42 ![W,X]: (sP0_prd(X,W)<=>(nil=X&nil=W))),
% 0.15/10.42 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.15/10.42 fof(f417,plain,(
% 0.15/10.42 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~frontsegP(V,Y))|~frontsegP(U,Y))))&(~nil=V|~nil=U))&(sP0_prd(X,W)|(neq(W,nil)&frontsegP(X,W)))))))))))),
% 0.15/10.42 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.15/10.42 fof(f418,plain,(
% 0.15/10.42 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&((((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~frontsegP(sK48_skl,Y))|~frontsegP(sK47_skl,Y))))&(~nil=sK48_skl|~nil=sK47_skl))&(sP0_prd(sK50_skl,sK49_skl)|(neq(sK49_skl,nil)&frontsegP(sK50_skl,sK49_skl))))))))),
% 0.15/10.42 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])).
% 0.15/10.42 fof(f419,plain,(
% 0.15/10.42 ssList(sK47_skl)),
% 0.15/10.42 inference(cnf_transformation,[status(thm)],[f418])).
% 0.15/10.42 fof(f423,plain,(
% 0.15/10.42 sK48_skl=sK50_skl),
% 0.15/10.42 inference(cnf_transformation,[status(thm)],[f418])).
% 0.15/10.42 fof(f424,plain,(
% 0.15/10.42 sK47_skl=sK49_skl),
% 0.15/10.42 inference(cnf_transformation,[status(thm)],[f418])).
% 0.15/10.42 fof(f425,plain,(
% 0.15/10.42 ![X0]: (~ssList(X0)|~neq(X0,nil)|~frontsegP(sK48_skl,X0)|~frontsegP(sK47_skl,X0))),
% 0.15/10.42 inference(cnf_transformation,[status(thm)],[f418])).
% 0.15/10.42 fof(f426,plain,(
% 0.15/10.42 ~nil=sK48_skl|~nil=sK47_skl),
% 0.15/10.42 inference(cnf_transformation,[status(thm)],[f418])).
% 0.15/10.42 fof(f427,plain,(
% 0.15/10.42 sP0_prd(sK50_skl,sK49_skl)|neq(sK49_skl,nil)),
% 0.15/10.42 inference(cnf_transformation,[status(thm)],[f418])).
% 0.15/10.42 fof(f428,plain,(
% 0.15/10.42 sP0_prd(sK50_skl,sK49_skl)|frontsegP(sK50_skl,sK49_skl)),
% 0.15/10.42 inference(cnf_transformation,[status(thm)],[f418])).
% 0.15/10.42 fof(f429,plain,(
% 0.15/10.42 ![W,X]: ((~sP0_prd(X,W)|(nil=X&nil=W))&(sP0_prd(X,W)|(~nil=X|~nil=W)))),
% 0.15/10.42 inference(NNF_transformation,[status(thm)],[f416])).
% 0.15/10.42 fof(f430,plain,(
% 0.15/10.42 (![W,X]: (~sP0_prd(X,W)|(nil=X&nil=W)))&(![W,X]: (sP0_prd(X,W)|(~nil=X|~nil=W)))),
% 0.15/10.42 inference(miniscoping,[status(thm)],[f429])).
% 0.15/10.42 fof(f431,plain,(
% 0.15/10.42 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X0)),
% 0.15/10.42 inference(cnf_transformation,[status(thm)],[f430])).
% 0.15/10.42 fof(f432,plain,(
% 0.15/10.42 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X1)),
% 0.15/10.42 inference(cnf_transformation,[status(thm)],[f430])).
% 0.15/10.42 fof(f473,plain,(
% 0.15/10.42 ~ssList(sK47_skl)|~ssList(sK47_skl)|~neq(sK47_skl,nil)|~frontsegP(sK48_skl,sK47_skl)),
% 0.15/10.42 inference(resolution,[status(thm)],[f286,f425])).
% 0.15/10.42 fof(f477,plain,(
% 0.15/10.42 ~ssList(sK47_skl)|~neq(sK47_skl,nil)|~frontsegP(sK48_skl,sK47_skl)),
% 0.15/10.42 inference(duplicate_literals_removal,[status(thm)],[f473])).
% 0.15/10.42 fof(f478,plain,(
% 0.15/10.42 ~neq(sK47_skl,nil)|~frontsegP(sK48_skl,sK47_skl)),
% 0.15/10.42 inference(forward_subsumption_resolution,[status(thm)],[f477,f419])).
% 0.15/10.42 fof(f484,plain,(
% 0.15/10.42 sP0_prd(sK48_skl,sK49_skl)|neq(sK49_skl,nil)),
% 0.15/10.42 inference(forward_demodulation,[status(thm)],[f423,f427])).
% 0.15/10.42 fof(f485,plain,(
% 0.15/10.42 sP0_prd(sK48_skl,sK47_skl)|neq(sK49_skl,nil)),
% 0.15/10.42 inference(forward_demodulation,[status(thm)],[f424,f484])).
% 0.15/10.42 fof(f486,plain,(
% 0.15/10.42 sP0_prd(sK48_skl,sK47_skl)|neq(sK47_skl,nil)),
% 0.15/10.42 inference(forward_demodulation,[status(thm)],[f424,f485])).
% 0.15/10.42 fof(f498,plain,(
% 0.15/10.42 sP0_prd(sK48_skl,sK49_skl)|frontsegP(sK50_skl,sK49_skl)),
% 0.15/10.42 inference(forward_demodulation,[status(thm)],[f423,f428])).
% 0.15/10.42 fof(f499,plain,(
% 0.15/10.42 sP0_prd(sK48_skl,sK47_skl)|frontsegP(sK50_skl,sK49_skl)),
% 0.15/10.42 inference(forward_demodulation,[status(thm)],[f424,f498])).
% 0.15/10.42 fof(f500,plain,(
% 0.15/10.42 sP0_prd(sK48_skl,sK47_skl)|frontsegP(sK48_skl,sK49_skl)),
% 0.15/10.42 inference(forward_demodulation,[status(thm)],[f423,f499])).
% 0.15/10.42 fof(f501,plain,(
% 0.15/10.42 sP0_prd(sK48_skl,sK47_skl)|frontsegP(sK48_skl,sK47_skl)),
% 0.15/10.42 inference(forward_demodulation,[status(thm)],[f424,f500])).
% 0.15/10.42 fof(f514,plain,(
% 0.15/10.42 ~neq(sK47_skl,nil)|sP0_prd(sK48_skl,sK47_skl)),
% 0.15/10.42 inference(resolution,[status(thm)],[f478,f501])).
% 0.15/10.42 fof(f515,plain,(
% 0.15/10.42 sP0_prd(sK48_skl,sK47_skl)),
% 0.15/10.42 inference(forward_subsumption_resolution,[status(thm)],[f514,f486])).
% 0.15/10.42 fof(f516,plain,(
% 0.15/10.42 nil=sK47_skl),
% 0.15/10.42 inference(resolution,[status(thm)],[f515,f432])).
% 0.15/10.42 fof(f517,plain,(
% 0.15/10.42 nil=sK48_skl),
% 0.15/10.42 inference(resolution,[status(thm)],[f515,f431])).
% 0.15/10.42 fof(f524,plain,(
% 0.15/10.42 ~nil=sK48_skl|~sK47_skl=sK47_skl),
% 0.15/10.42 inference(backward_demodulation,[status(thm)],[f516,f426])).
% 0.15/10.42 fof(f534,plain,(
% 0.15/10.42 ~sK47_skl=sK48_skl|~sK47_skl=sK47_skl),
% 0.15/10.42 inference(forward_demodulation,[status(thm)],[f516,f524])).
% 0.15/10.42 fof(f535,plain,(
% 0.15/10.42 ~sK47_skl=sK48_skl),
% 0.15/10.42 inference(trivial_equality_resolution,[status(thm)],[f534])).
% 0.15/10.42 fof(f565,plain,(
% 0.15/10.42 sK47_skl=sK48_skl),
% 0.15/10.42 inference(forward_demodulation,[status(thm)],[f516,f517])).
% 0.15/10.42 fof(f570,plain,(
% 0.15/10.42 ~sK47_skl=sK47_skl),
% 0.15/10.42 inference(forward_demodulation,[status(thm)],[f565,f535])).
% 0.15/10.42 fof(f571,plain,(
% 0.15/10.42 $false),
% 0.15/10.42 inference(trivial_equality_resolution,[status(thm)],[f570])).
% 0.15/10.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/10.46 % Elapsed time: 0.064509 seconds
% 0.15/10.46 % CPU time: 0.172017 seconds
% 0.15/10.46 % Total memory used: 110.626 MB
% 0.15/10.46 % Net memory used: 110.489 MB
%------------------------------------------------------------------------------