%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC406+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 : n007.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 02:42:23 PM UTC 2026
% Result : Theorem 0.09s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC406+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
% 0.09/0.36 % Computer : n007.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:20:07 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41 fof(f96,conjecture,(
% 0.09/0.41 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssItem(Y)& ( ( ~ memberP(W,Y)& (! [Z] :( ssItem(Z)=> ( ~ memberP(X,Z)| ~ leq(Z,Y)| Y = Z ) ))& memberP(X,Y) )| ( memberP(W,Y)& ( ~ memberP(X,Y)| (? [Z] :( ssItem(Z)& Y != Z& memberP(X,Z)& leq(Z,Y) ) )) ) ) ))| (! [X1] :( ssItem(X1)=> ( ~ memberP(U,X1)| memberP(V,X1) ) ) )) ) )) )) )) )),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f97,negated_conjecture,(
% 0.09/0.41 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| (? [Y] :( ssItem(Y)& ( ( ~ memberP(W,Y)& (! [Z] :( ssItem(Z)=> ( ~ memberP(X,Z)| ~ leq(Z,Y)| Y = Z ) ))& memberP(X,Y) )| ( memberP(W,Y)& ( ~ memberP(X,Y)| (? [Z] :( ssItem(Z)& Y != Z& memberP(X,Z)& leq(Z,Y) ) )) ) ) ))| (! [X1] :( ssItem(X1)=> ( ~ memberP(U,X1)| memberP(V,X1) ) ) )) ) )) )) )) ))),
% 0.09/0.41 inference(negated_conjecture,[status(cth)],[f96])).
% 0.09/0.41 fof(f415,plain,(
% 0.09/0.41 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((V=X&U=W)&(![Y]: (~ssItem(Y)|(((memberP(W,Y)|(?[Z]: (ssItem(Z)&((memberP(X,Z)&leq(Z,Y))&~Y=Z))))|~memberP(X,Y))&(~memberP(W,Y)|(memberP(X,Y)&(![Z]: (((~ssItem(Z)|Y=Z)|~memberP(X,Z))|~leq(Z,Y)))))))))&(?[X1]: (ssItem(X1)&(memberP(U,X1)&~memberP(V,X1)))))))))))))),
% 0.09/0.41 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.09/0.41 fof(f416,plain,(
% 0.09/0.41 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&(![Y]: (~ssItem(Y)|(((memberP(sK49_skl,Y)|(ssItem(sK51_skl(Y))&((memberP(sK50_skl,sK51_skl(Y))&leq(sK51_skl(Y),Y))&~Y=sK51_skl(Y))))|~memberP(sK50_skl,Y))&(~memberP(sK49_skl,Y)|(memberP(sK50_skl,Y)&(![Z]: (((~ssItem(Z)|Y=Z)|~memberP(sK50_skl,Z))|~leq(Z,Y)))))))))&(ssItem(sK52_skl)&(memberP(sK47_skl,sK52_skl)&~memberP(sK48_skl,sK52_skl))))))))),
% 0.09/0.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK47_skl,sK48_skl,sK49_skl,sK50_skl,sK51_skl,sK52_skl]),skolemize(U,sK47_skl),skolemize(V,sK48_skl),skolemize(W,sK49_skl),skolemize(X,sK50_skl),skolemize(Z,sK51_skl(Y)),skolemize(X1,sK52_skl)],[f415])).
% 0.09/0.41 fof(f421,plain,(
% 0.09/0.41 sK48_skl=sK50_skl),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.09/0.41 fof(f422,plain,(
% 0.09/0.41 sK47_skl=sK49_skl),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.09/0.41 fof(f427,plain,(
% 0.09/0.41 ![X0]: (~ssItem(X0)|~memberP(sK49_skl,X0)|memberP(sK50_skl,X0))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.09/0.41 fof(f429,plain,(
% 0.09/0.41 ssItem(sK52_skl)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.09/0.41 fof(f430,plain,(
% 0.09/0.41 memberP(sK47_skl,sK52_skl)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.09/0.41 fof(f431,plain,(
% 0.09/0.41 ~memberP(sK48_skl,sK52_skl)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f416])).
% 0.09/0.41 fof(f503,plain,(
% 0.09/0.41 ![X0]: (~ssItem(X0)|~memberP(sK47_skl,X0)|memberP(sK50_skl,X0))),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f422,f427])).
% 0.09/0.41 fof(f504,plain,(
% 0.09/0.41 ![X0]: (~ssItem(X0)|~memberP(sK47_skl,X0)|memberP(sK48_skl,X0))),
% 0.09/0.41 inference(forward_demodulation,[status(thm)],[f421,f503])).
% 0.09/0.41 fof(f505,plain,(
% 0.09/0.41 ~ssItem(sK52_skl)|memberP(sK48_skl,sK52_skl)),
% 0.09/0.41 inference(resolution,[status(thm)],[f504,f430])).
% 0.09/0.41 fof(f506,plain,(
% 0.09/0.41 memberP(sK48_skl,sK52_skl)),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f505,f429])).
% 0.09/0.41 fof(f509,plain,(
% 0.09/0.41 $false),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f506,f431])).
% 0.09/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.43 % Elapsed time: 0.064689 seconds
% 0.09/0.43 % CPU time: 0.185459 seconds
% 0.09/0.43 % Total memory used: 111.131 MB
% 0.09/0.43 % Net memory used: 110.982 MB
%------------------------------------------------------------------------------