%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC257+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 : n014.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 02:41:59 PM UTC 2026
% Result : Theorem 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC257+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 : n014.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 08:09:05 UTC 2026
% 0.10/0.35 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f65,axiom,(
% 0.13/0.40 (! [U] :( ssItem(U)=> totalorderedP(cons(U,nil)) ) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f66,axiom,(
% 0.13/0.40 totalorderedP(nil) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f96,conjecture,(
% 0.13/0.40 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| totalorderedP(U)| ( (! [Y] :( ~ ssItem(Y)| cons(Y,nil) != W| ~ memberP(X,Y)| (? [Z] :( ssItem(Z)& Y != Z& memberP(X,Z)& leq(Y,Z) ) )))& ( nil != X| nil != W ) ) ) )) )) )) )),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f97,negated_conjecture,(
% 0.13/0.40 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ~ ssList(X)| V != X| U != W| totalorderedP(U)| ( (! [Y] :( ~ ssItem(Y)| cons(Y,nil) != W| ~ memberP(X,Y)| (? [Z] :( ssItem(Z)& Y != Z& memberP(X,Z)& leq(Y,Z) ) )))& ( nil != X| nil != W ) ) ) )) )) )) ))),
% 0.13/0.40 inference(negated_conjecture,[status(cth)],[f96])).
% 0.13/0.40 fof(f337,plain,(
% 0.13/0.40 ![U]: (~ssItem(U)|totalorderedP(cons(U,nil)))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f65])).
% 0.13/0.40 fof(f338,plain,(
% 0.13/0.40 ![X0]: (~ssItem(X0)|totalorderedP(cons(X0,nil)))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f337])).
% 0.13/0.40 fof(f339,plain,(
% 0.13/0.40 totalorderedP(nil)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f66])).
% 0.13/0.40 fof(f415,plain,(
% 0.13/0.40 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: ((((ssList(X)&V=X)&U=W)&~totalorderedP(U))&((?[Y]: (((ssItem(Y)&cons(Y,nil)=W)&memberP(X,Y))&(![Z]: (((~ssItem(Z)|Y=Z)|~memberP(X,Z))|~leq(Y,Z)))))|(nil=X&nil=W))))))))))),
% 0.13/0.40 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.13/0.40 fof(f416,definition,(
% 0.13/0.40 ![W,X,Y]: (sP0_prd(Y,X,W)<=>(((ssItem(Y)&cons(Y,nil)=W)&memberP(X,Y))&(![Z]: (((~ssItem(Z)|Y=Z)|~memberP(X,Z))|~leq(Y,Z)))))),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.13/0.40 fof(f417,plain,(
% 0.13/0.40 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: ((((ssList(X)&V=X)&U=W)&~totalorderedP(U))&((?[Y]: sP0_prd(Y,X,W))|(nil=X&nil=W)))))))))),
% 0.13/0.40 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.13/0.40 fof(f418,plain,(
% 0.13/0.40 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&((((ssList(sK50_skl)&sK48_skl=sK50_skl)&sK47_skl=sK49_skl)&~totalorderedP(sK47_skl))&(sP0_prd(sK51_skl,sK50_skl,sK49_skl)|(nil=sK50_skl&nil=sK49_skl))))))),
% 0.13/0.40 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])).
% 0.13/0.40 fof(f423,plain,(
% 0.13/0.40 sK48_skl=sK50_skl),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f418])).
% 0.13/0.40 fof(f424,plain,(
% 0.13/0.40 sK47_skl=sK49_skl),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f418])).
% 0.13/0.40 fof(f425,plain,(
% 0.13/0.40 ~totalorderedP(sK47_skl)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f418])).
% 0.13/0.40 fof(f427,plain,(
% 0.13/0.40 sP0_prd(sK51_skl,sK50_skl,sK49_skl)|nil=sK49_skl),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f418])).
% 0.13/0.40 fof(f428,plain,(
% 0.13/0.40 ![W,X,Y]: ((~sP0_prd(Y,X,W)|(((ssItem(Y)&cons(Y,nil)=W)&memberP(X,Y))&(![Z]: (((~ssItem(Z)|Y=Z)|~memberP(X,Z))|~leq(Y,Z)))))&(sP0_prd(Y,X,W)|(((~ssItem(Y)|~cons(Y,nil)=W)|~memberP(X,Y))|(?[Z]: (((ssItem(Z)&~Y=Z)&memberP(X,Z))&leq(Y,Z))))))),
% 0.13/0.40 inference(NNF_transformation,[status(thm)],[f416])).
% 0.13/0.40 fof(f429,plain,(
% 0.13/0.40 (![W,X,Y]: (~sP0_prd(Y,X,W)|(((ssItem(Y)&cons(Y,nil)=W)&memberP(X,Y))&(![Z]: (((~ssItem(Z)|Y=Z)|~memberP(X,Z))|~leq(Y,Z))))))&(![W,X,Y]: (sP0_prd(Y,X,W)|(((~ssItem(Y)|~cons(Y,nil)=W)|~memberP(X,Y))|(?[Z]: (((ssItem(Z)&~Y=Z)&memberP(X,Z))&leq(Y,Z))))))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f428])).
% 0.13/0.40 fof(f430,plain,(
% 0.13/0.40 (![W,X,Y]: (~sP0_prd(Y,X,W)|(((ssItem(Y)&cons(Y,nil)=W)&memberP(X,Y))&(![Z]: (((~ssItem(Z)|Y=Z)|~memberP(X,Z))|~leq(Y,Z))))))&(![W,X,Y]: (sP0_prd(Y,X,W)|(((~ssItem(Y)|~cons(Y,nil)=W)|~memberP(X,Y))|(((ssItem(sK52_skl(Y,X,W))&~Y=sK52_skl(Y,X,W))&memberP(X,sK52_skl(Y,X,W)))&leq(Y,sK52_skl(Y,X,W))))))),
% 0.13/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK52_skl]),skolemize(Z,sK52_skl(Y,X,W))],[f429])).
% 0.13/0.40 fof(f431,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|ssItem(X0))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f430])).
% 0.13/0.40 fof(f432,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~sP0_prd(X0,X1,X2)|cons(X0,nil)=X2)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f430])).
% 0.13/0.40 fof(f492,plain,(
% 0.13/0.40 sP0_prd(sK51_skl,sK48_skl,sK49_skl)|nil=sK49_skl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f423,f427])).
% 0.13/0.40 fof(f493,plain,(
% 0.13/0.40 sP0_prd(sK51_skl,sK48_skl,sK47_skl)|nil=sK49_skl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f424,f492])).
% 0.13/0.40 fof(f494,plain,(
% 0.13/0.40 sP0_prd(sK51_skl,sK48_skl,sK47_skl)|nil=sK47_skl),
% 0.13/0.40 inference(forward_demodulation,[status(thm)],[f424,f493])).
% 0.13/0.40 fof(f495,plain,(
% 0.13/0.40 nil=sK47_skl|ssItem(sK51_skl)),
% 0.13/0.40 inference(resolution,[status(thm)],[f494,f431])).
% 0.13/0.40 fof(f511,plain,(
% 0.13/0.40 cons(sK51_skl,nil)=sK47_skl|nil=sK47_skl),
% 0.13/0.40 inference(resolution,[status(thm)],[f432,f494])).
% 0.13/0.40 fof(f583,plain,(
% 0.13/0.40 ~ssItem(sK51_skl)|totalorderedP(sK47_skl)|nil=sK47_skl),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f511,f338])).
% 0.13/0.40 fof(f595,plain,(
% 0.13/0.40 totalorderedP(sK47_skl)|nil=sK47_skl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f583,f495])).
% 0.13/0.40 fof(f680,plain,(
% 0.13/0.40 totalorderedP(sK47_skl)),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f682,f339])).
% 0.13/0.40 fof(f682,plain,(
% 0.13/0.40 nil=sK47_skl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f595,f425])).
% 0.13/0.40 fof(f690,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f680,f425])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.064874 seconds
% 0.13/0.43 % CPU time: 0.237889 seconds
% 0.13/0.43 % Total memory used: 112.072 MB
% 0.13/0.43 % Net memory used: 111.832 MB
%------------------------------------------------------------------------------