%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC017+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 : n017.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 02:41:20 PM UTC 2026
% Result : Theorem 0.14s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC017+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n017.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 07:44:44 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.14/0.42 % Refutation found
% 0.14/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.42 fof(f42,axiom,(
% 0.14/0.42 (! [U] :( ssList(U)=> frontsegP(U,U) ) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f45,axiom,(
% 0.14/0.42 (! [U] :( ssList(U)=> frontsegP(U,nil) ) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f46,axiom,(
% 0.14/0.42 (! [U] :( ssList(U)=> ( frontsegP(nil,U)<=> nil = U ) ) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f96,conjecture,(
% 0.14/0.42 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& frontsegP(V,Y)& frontsegP(U,Y) ) )) )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ frontsegP(X,W) ) ) ) )) )) )) )),
% 0.14/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.42 fof(f97,negated_conjecture,(
% 0.14/0.42 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| ( ( nil != V| nil = U )& ( ~ neq(V,nil)| (? [Y] :( ssList(Y)& neq(Y,nil)& frontsegP(V,Y)& frontsegP(U,Y) ) )) )| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ frontsegP(X,W) ) ) ) )) )) )) ))),
% 0.14/0.42 inference(negated_conjecture,[status(cth)],[f96])).
% 0.14/0.42 fof(f285,plain,(
% 0.14/0.42 ![U]: (~ssList(U)|frontsegP(U,U))),
% 0.14/0.42 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.14/0.42 fof(f286,plain,(
% 0.14/0.42 ![X0]: (~ssList(X0)|frontsegP(X0,X0))),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f285])).
% 0.14/0.42 fof(f294,plain,(
% 0.14/0.42 ![U]: (~ssList(U)|frontsegP(U,nil))),
% 0.14/0.42 inference(pre_NNF_transformation,[status(thm)],[f45])).
% 0.14/0.42 fof(f295,plain,(
% 0.14/0.42 ![X0]: (~ssList(X0)|frontsegP(X0,nil))),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f294])).
% 0.14/0.42 fof(f296,plain,(
% 0.14/0.42 ![U]: (~ssList(U)|(frontsegP(nil,U)<=>nil=U))),
% 0.14/0.42 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 0.14/0.42 fof(f297,plain,(
% 0.14/0.42 ![U]: (~ssList(U)|((~frontsegP(nil,U)|nil=U)&(frontsegP(nil,U)|~nil=U)))),
% 0.14/0.42 inference(NNF_transformation,[status(thm)],[f296])).
% 0.14/0.42 fof(f298,plain,(
% 0.14/0.42 ![X0]: (~ssList(X0)|~frontsegP(nil,X0)|nil=X0)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f297])).
% 0.14/0.42 fof(f415,plain,(
% 0.14/0.42 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: ((((ssList(X)&V=X)&U=W)&((nil=V&~nil=U)|(neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~frontsegP(V,Y))|~frontsegP(U,Y))))))&((nil=X&nil=W)|(neq(W,nil)&frontsegP(X,W)))))))))))),
% 0.14/0.42 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.14/0.42 fof(f416,definition,(
% 0.14/0.42 ![U,V]: (sP0_prd(V,U)<=>(nil=V&~nil=U))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.14/0.42 fof(f417,definition,(
% 0.14/0.42 ![W,X]: (sP1_prd(X,W)<=>(nil=X&nil=W))),
% 0.14/0.42 introduced(definition,[new_symbols(definition,[sP1_prd])],[])).
% 0.14/0.42 fof(f418,plain,(
% 0.14/0.42 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: ((((ssList(X)&V=X)&U=W)&(sP0_prd(V,U)|(neq(V,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~frontsegP(V,Y))|~frontsegP(U,Y))))))&(sP1_prd(X,W)|(neq(W,nil)&frontsegP(X,W))))))))))),
% 0.14/0.42 inference(formula_renaming,[status(thm)],[f415,f417,f416])).
% 0.14/0.42 fof(f419,plain,(
% 0.14/0.42 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&((((ssList(sK50_skl)&sK48_skl=sK50_skl)&sK47_skl=sK49_skl)&(sP0_prd(sK48_skl,sK47_skl)|(neq(sK48_skl,nil)&(![Y]: (((~ssList(Y)|~neq(Y,nil))|~frontsegP(sK48_skl,Y))|~frontsegP(sK47_skl,Y))))))&(sP1_prd(sK50_skl,sK49_skl)|(neq(sK49_skl,nil)&frontsegP(sK50_skl,sK49_skl)))))))),
% 0.14/0.42 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)],[f418])).
% 0.14/0.42 fof(f420,plain,(
% 0.14/0.42 ssList(sK47_skl)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.42 fof(f421,plain,(
% 0.14/0.42 ssList(sK48_skl)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.42 fof(f424,plain,(
% 0.14/0.42 sK48_skl=sK50_skl),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.42 fof(f425,plain,(
% 0.14/0.42 sK47_skl=sK49_skl),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.42 fof(f426,plain,(
% 0.14/0.42 sP0_prd(sK48_skl,sK47_skl)|neq(sK48_skl,nil)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.42 fof(f427,plain,(
% 0.14/0.42 ![X0]: (sP0_prd(sK48_skl,sK47_skl)|~ssList(X0)|~neq(X0,nil)|~frontsegP(sK48_skl,X0)|~frontsegP(sK47_skl,X0))),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.42 fof(f428,plain,(
% 0.14/0.42 sP1_prd(sK50_skl,sK49_skl)|neq(sK49_skl,nil)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.42 fof(f429,plain,(
% 0.14/0.42 sP1_prd(sK50_skl,sK49_skl)|frontsegP(sK50_skl,sK49_skl)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f419])).
% 0.14/0.42 fof(f430,plain,(
% 0.14/0.42 ![U,V]: ((~sP0_prd(V,U)|(nil=V&~nil=U))&(sP0_prd(V,U)|(~nil=V|nil=U)))),
% 0.14/0.42 inference(NNF_transformation,[status(thm)],[f416])).
% 0.14/0.42 fof(f431,plain,(
% 0.14/0.42 (![U,V]: (~sP0_prd(V,U)|(nil=V&~nil=U)))&(![U,V]: (sP0_prd(V,U)|(~nil=V|nil=U)))),
% 0.14/0.42 inference(miniscoping,[status(thm)],[f430])).
% 0.14/0.42 fof(f432,plain,(
% 0.14/0.42 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X0)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f431])).
% 0.14/0.42 fof(f433,plain,(
% 0.14/0.42 ![X0,X1]: (~sP0_prd(X0,X1)|~nil=X1)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f431])).
% 0.14/0.42 fof(f435,plain,(
% 0.14/0.42 ![W,X]: ((~sP1_prd(X,W)|(nil=X&nil=W))&(sP1_prd(X,W)|(~nil=X|~nil=W)))),
% 0.14/0.42 inference(NNF_transformation,[status(thm)],[f417])).
% 0.14/0.42 fof(f436,plain,(
% 0.14/0.42 (![W,X]: (~sP1_prd(X,W)|(nil=X&nil=W)))&(![W,X]: (sP1_prd(X,W)|(~nil=X|~nil=W)))),
% 0.14/0.42 inference(miniscoping,[status(thm)],[f435])).
% 0.14/0.42 fof(f437,plain,(
% 0.14/0.42 ![X0,X1]: (~sP1_prd(X0,X1)|nil=X0)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f436])).
% 0.14/0.42 fof(f438,plain,(
% 0.14/0.42 ![X0,X1]: (~sP1_prd(X0,X1)|nil=X1)),
% 0.14/0.42 inference(cnf_transformation,[status(thm)],[f436])).
% 0.14/0.42 fof(f470,plain,(
% 0.14/0.42 ![X0]: (~sP0_prd(X0,nil))),
% 0.14/0.42 inference(destructive_equality_resolution,[status(thm)],[f433])).
% 0.14/0.42 fof(f492,plain,(
% 0.14/0.42 sP0_prd(sK48_skl,sK47_skl)|~ssList(sK48_skl)|~neq(sK48_skl,nil)|~frontsegP(sK47_skl,sK48_skl)|~ssList(sK48_skl)),
% 0.14/0.42 inference(resolution,[status(thm)],[f427,f286])).
% 0.14/0.42 fof(f494,plain,(
% 0.14/0.42 sP0_prd(sK48_skl,sK47_skl)|~ssList(sK47_skl)|~neq(sK47_skl,nil)|~frontsegP(sK48_skl,sK47_skl)|~ssList(sK47_skl)),
% 0.14/0.42 inference(resolution,[status(thm)],[f427,f286])).
% 0.14/0.42 fof(f496,plain,(
% 0.14/0.42 sP0_prd(sK48_skl,sK47_skl)|~ssList(sK48_skl)|~neq(sK48_skl,nil)|~frontsegP(sK47_skl,sK48_skl)),
% 0.14/0.42 inference(duplicate_literals_removal,[status(thm)],[f492])).
% 0.14/0.42 fof(f497,plain,(
% 0.14/0.42 sP0_prd(sK48_skl,sK47_skl)|~neq(sK48_skl,nil)|~frontsegP(sK47_skl,sK48_skl)),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f496,f421])).
% 0.14/0.42 fof(f500,plain,(
% 0.14/0.42 sP0_prd(sK48_skl,sK47_skl)|~ssList(sK47_skl)|~neq(sK47_skl,nil)|~frontsegP(sK48_skl,sK47_skl)),
% 0.14/0.42 inference(duplicate_literals_removal,[status(thm)],[f494])).
% 0.14/0.42 fof(f501,plain,(
% 0.14/0.42 sP0_prd(sK48_skl,sK47_skl)|~neq(sK47_skl,nil)|~frontsegP(sK48_skl,sK47_skl)),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f500,f420])).
% 0.14/0.42 fof(f504,plain,(
% 0.14/0.42 sP1_prd(sK48_skl,sK49_skl)|neq(sK49_skl,nil)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f424,f428])).
% 0.14/0.42 fof(f505,plain,(
% 0.14/0.42 sP1_prd(sK48_skl,sK47_skl)|neq(sK49_skl,nil)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f425,f504])).
% 0.14/0.42 fof(f506,plain,(
% 0.14/0.42 sP1_prd(sK48_skl,sK47_skl)|neq(sK47_skl,nil)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f425,f505])).
% 0.14/0.42 fof(f524,plain,(
% 0.14/0.42 sP1_prd(sK48_skl,sK49_skl)|frontsegP(sK50_skl,sK49_skl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f424,f429])).
% 0.14/0.42 fof(f525,plain,(
% 0.14/0.42 sP1_prd(sK48_skl,sK47_skl)|frontsegP(sK50_skl,sK49_skl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f425,f524])).
% 0.14/0.42 fof(f526,plain,(
% 0.14/0.42 sP1_prd(sK48_skl,sK47_skl)|frontsegP(sK48_skl,sK49_skl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f424,f525])).
% 0.14/0.42 fof(f527,plain,(
% 0.14/0.42 sP1_prd(sK48_skl,sK47_skl)|frontsegP(sK48_skl,sK47_skl)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f425,f526])).
% 0.14/0.42 fof(f568,plain,(
% 0.14/0.42 sP0_prd(sK48_skl,sK47_skl)|~frontsegP(sK47_skl,sK48_skl)),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f497,f426])).
% 0.14/0.42 fof(f578,plain,(
% 0.14/0.42 sP0_prd(sK48_skl,sK47_skl)|~neq(sK47_skl,nil)|sP1_prd(sK48_skl,sK47_skl)),
% 0.14/0.42 inference(resolution,[status(thm)],[f501,f527])).
% 0.14/0.42 fof(f580,plain,(
% 0.14/0.42 sP0_prd(sK48_skl,sK47_skl)|sP1_prd(sK48_skl,sK47_skl)),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f578,f506])).
% 0.14/0.42 fof(f656,plain,(
% 0.14/0.42 sP0_prd(sK48_skl,sK47_skl)|nil=sK48_skl),
% 0.14/0.42 inference(resolution,[status(thm)],[f580,f437])).
% 0.14/0.42 fof(f657,plain,(
% 0.14/0.42 nil=sK48_skl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f656,f432])).
% 0.14/0.42 fof(f670,plain,(
% 0.14/0.42 ![X0]: (~ssList(X0)|~frontsegP(nil,X0)|sK48_skl=X0)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f657,f298])).
% 0.14/0.42 fof(f671,plain,(
% 0.14/0.42 ![X0]: (~ssList(X0)|frontsegP(X0,sK48_skl))),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f657,f295])).
% 0.14/0.42 fof(f672,plain,(
% 0.14/0.42 ![X0,X1]: (~sP1_prd(X0,X1)|sK48_skl=X1)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f657,f438])).
% 0.14/0.42 fof(f686,plain,(
% 0.14/0.42 ![X0]: (~sP0_prd(X0,sK48_skl))),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f657,f470])).
% 0.14/0.42 fof(f690,plain,(
% 0.14/0.42 ![X0]: (~ssList(X0)|~frontsegP(sK48_skl,X0)|sK48_skl=X0)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f657,f670])).
% 0.14/0.42 fof(f694,plain,(
% 0.14/0.42 ~ssList(sK47_skl)|sK48_skl=sK47_skl|sP1_prd(sK48_skl,sK47_skl)),
% 0.14/0.42 inference(resolution,[status(thm)],[f690,f527])).
% 0.14/0.42 fof(f697,plain,(
% 0.14/0.42 sK48_skl=sK47_skl|sP1_prd(sK48_skl,sK47_skl)),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f694,f420])).
% 0.14/0.42 fof(f701,plain,(
% 0.14/0.42 ~ssList(sK47_skl)|sP0_prd(sK48_skl,sK47_skl)),
% 0.14/0.42 inference(resolution,[status(thm)],[f671,f568])).
% 0.14/0.42 fof(f715,plain,(
% 0.14/0.42 sP0_prd(sK48_skl,sK47_skl)),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f701,f420])).
% 0.14/0.42 fof(f756,plain,(
% 0.14/0.42 sP0_prd(sK47_skl,sK47_skl)),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f779,f715])).
% 0.14/0.42 fof(f758,plain,(
% 0.14/0.42 ![X0]: (~sP0_prd(X0,sK47_skl))),
% 0.14/0.42 inference(backward_demodulation,[status(thm)],[f779,f686])).
% 0.14/0.42 fof(f779,plain,(
% 0.14/0.42 sK48_skl=sK47_skl),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f697,f672])).
% 0.14/0.42 fof(f836,plain,(
% 0.14/0.42 $false),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f756,f758])).
% 0.14/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.44 % Elapsed time: 0.076979 seconds
% 0.14/0.44 % CPU time: 0.279172 seconds
% 0.14/0.44 % Total memory used: 111.962 MB
% 0.14/0.44 % Net memory used: 111.730 MB
%------------------------------------------------------------------------------