%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC217+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 : 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 02:41:53 PM UTC 2026
% Result : Theorem 0.17s 0.51s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWC217+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 % Computer : n007.cluster.edu
% 0.17/0.44 % Model : x86_64 x86_64
% 0.17/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.44 % Memory : 8046.5625MB
% 0.17/0.44 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Mon Sep 21 08:03:36 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.49 % Drodi V4.1.1
% 0.17/0.51 % Refutation found
% 0.17/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.51 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.51 fof(f4,axiom,(
% 0.17/0.51 (! [U] :( ssList(U)=> ( singletonP(U)<=> (? [V] :( ssItem(V)& cons(V,nil) = U ) )) ) )),
% 0.17/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f15,axiom,(
% 0.17/0.51 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> ( neq(U,V)<=> U != V ) ) )) )),
% 0.17/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f17,axiom,(
% 0.17/0.51 ssList(nil) ),
% 0.17/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f39,axiom,(
% 0.17/0.51 ~ singletonP(nil) ),
% 0.17/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f96,conjecture,(
% 0.17/0.51 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| neq(U,nil)| ( nil != W& nil = X )| ( (! [Y] :( ssItem(Y)=> ( cons(Y,nil) != W| ~ memberP(X,Y) ) ))& neq(X,nil) ) ) ) )) )) )) )),
% 0.17/0.51 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.51 fof(f97,negated_conjecture,(
% 0.17/0.51 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| neq(U,nil)| ( nil != W& nil = X )| ( (! [Y] :( ssItem(Y)=> ( cons(Y,nil) != W| ~ memberP(X,Y) ) ))& neq(X,nil) ) ) ) )) )) )) ))),
% 0.17/0.51 inference(negated_conjecture,[status(cth)],[f96])).
% 0.17/0.51 fof(f113,plain,(
% 0.17/0.51 ![U]: (~ssList(U)|(singletonP(U)<=>(?[V]: (ssItem(V)&cons(V,nil)=U))))),
% 0.17/0.51 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.17/0.51 fof(f114,plain,(
% 0.17/0.51 ![U]: (~ssList(U)|((~singletonP(U)|(?[V]: (ssItem(V)&cons(V,nil)=U)))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.17/0.51 inference(NNF_transformation,[status(thm)],[f113])).
% 0.17/0.51 fof(f115,plain,(
% 0.17/0.51 ![U]: (~ssList(U)|((~singletonP(U)|(ssItem(sK4_skl(U))&cons(sK4_skl(U),nil)=U))&(singletonP(U)|(![V]: (~ssItem(V)|~cons(V,nil)=U)))))),
% 0.17/0.51 inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(V,sK4_skl(U))],[f114])).
% 0.17/0.51 fof(f118,plain,(
% 0.17/0.51 ![X0,X1]: (~ssList(X0)|singletonP(X0)|~ssItem(X1)|~cons(X1,nil)=X0)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f115])).
% 0.17/0.51 fof(f217,plain,(
% 0.17/0.51 ![U]: (~ssList(U)|(![V]: (~ssList(V)|(neq(U,V)<=>~U=V))))),
% 0.17/0.51 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.17/0.51 fof(f218,plain,(
% 0.17/0.51 ![U]: (~ssList(U)|(![V]: (~ssList(V)|((~neq(U,V)|~U=V)&(neq(U,V)|U=V)))))),
% 0.17/0.51 inference(NNF_transformation,[status(thm)],[f217])).
% 0.17/0.51 fof(f220,plain,(
% 0.17/0.51 ![X0,X1]: (~ssList(X0)|~ssList(X1)|neq(X0,X1)|X0=X1)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f218])).
% 0.17/0.51 fof(f223,plain,(
% 0.17/0.51 ssList(nil)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f17])).
% 0.17/0.51 fof(f280,plain,(
% 0.17/0.51 ~singletonP(nil)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f39])).
% 0.17/0.51 fof(f415,plain,(
% 0.17/0.51 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&(((((V=X&U=W)&neq(V,nil))&~neq(U,nil))&(nil=W|~nil=X))&((?[Y]: (ssItem(Y)&(cons(Y,nil)=W&memberP(X,Y))))|~neq(X,nil)))))))))))),
% 0.17/0.51 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.17/0.51 fof(f416,plain,(
% 0.17/0.51 (ssList(sK47_skl)&(ssList(sK48_skl)&(ssList(sK49_skl)&(ssList(sK50_skl)&(((((sK48_skl=sK50_skl&sK47_skl=sK49_skl)&neq(sK48_skl,nil))&~neq(sK47_skl,nil))&(nil=sK49_skl|~nil=sK50_skl))&((ssItem(sK51_skl)&(cons(sK51_skl,nil)=sK49_skl&memberP(sK50_skl,sK51_skl)))|~neq(sK50_skl,nil)))))))),
% 0.17/0.51 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)],[f415])).
% 0.17/0.51 fof(f417,plain,(
% 0.17/0.51 ssList(sK47_skl)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f416])).
% 0.17/0.51 fof(f421,plain,(
% 0.17/0.51 sK48_skl=sK50_skl),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f416])).
% 0.17/0.51 fof(f422,plain,(
% 0.17/0.51 sK47_skl=sK49_skl),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f416])).
% 0.17/0.51 fof(f423,plain,(
% 0.17/0.51 neq(sK48_skl,nil)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f416])).
% 0.17/0.51 fof(f424,plain,(
% 0.17/0.51 ~neq(sK47_skl,nil)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f416])).
% 0.17/0.51 fof(f426,plain,(
% 0.17/0.51 ssItem(sK51_skl)|~neq(sK50_skl,nil)),
% 0.17/0.51 inference(cnf_transformation,[status(thm)],[f416])).
% 0.17/0.51 fof(f427,plain,(
% 0.17/0.51 cons(sK51_skl,nil)=sK49_skl|~neq(sK50_skl,nil)),
% 0.17/0.52 inference(cnf_transformation,[status(thm)],[f416])).
% 0.17/0.52 fof(f432,plain,(
% 0.17/0.52 ![X0]: (~ssList(cons(X0,nil))|singletonP(cons(X0,nil))|~ssItem(X0))),
% 0.17/0.52 inference(destructive_equality_resolution,[status(thm)],[f118])).
% 0.17/0.52 fof(f466,plain,(
% 0.17/0.52 ~ssList(sK47_skl)|~ssList(nil)|sK47_skl=nil),
% 0.17/0.52 inference(resolution,[status(thm)],[f220,f424])).
% 0.17/0.52 fof(f468,plain,(
% 0.17/0.52 ~ssList(nil)|sK47_skl=nil),
% 0.17/0.52 inference(forward_subsumption_resolution,[status(thm)],[f466,f417])).
% 0.17/0.52 fof(f478,plain,(
% 0.17/0.52 ssItem(sK51_skl)|~neq(sK48_skl,nil)),
% 0.17/0.52 inference(forward_demodulation,[status(thm)],[f421,f426])).
% 0.17/0.52 fof(f479,plain,(
% 0.17/0.52 ssItem(sK51_skl)),
% 0.17/0.52 inference(forward_subsumption_resolution,[status(thm)],[f478,f423])).
% 0.17/0.52 fof(f484,plain,(
% 0.17/0.52 cons(sK51_skl,nil)=sK47_skl|~neq(sK50_skl,nil)),
% 0.17/0.52 inference(forward_demodulation,[status(thm)],[f422,f427])).
% 0.17/0.52 fof(f485,plain,(
% 0.17/0.52 cons(sK51_skl,nil)=sK47_skl|~neq(sK48_skl,nil)),
% 0.17/0.52 inference(forward_demodulation,[status(thm)],[f421,f484])).
% 0.17/0.52 fof(f486,plain,(
% 0.17/0.52 cons(sK51_skl,nil)=sK47_skl),
% 0.17/0.52 inference(forward_subsumption_resolution,[status(thm)],[f485,f423])).
% 0.17/0.52 fof(f487,plain,(
% 0.17/0.52 ~ssList(sK47_skl)|singletonP(cons(sK51_skl,nil))|~ssItem(sK51_skl)),
% 0.17/0.52 inference(paramodulation,[status(thm)],[f486,f432])).
% 0.17/0.52 fof(f490,plain,(
% 0.17/0.52 ~ssList(sK47_skl)|singletonP(sK47_skl)|~ssItem(sK51_skl)),
% 0.17/0.52 inference(forward_demodulation,[status(thm)],[f486,f487])).
% 0.17/0.52 fof(f491,plain,(
% 0.17/0.52 singletonP(sK47_skl)|~ssItem(sK51_skl)),
% 0.17/0.52 inference(forward_subsumption_resolution,[status(thm)],[f490,f417])).
% 0.17/0.52 fof(f516,plain,(
% 0.17/0.52 ~singletonP(sK47_skl)),
% 0.17/0.52 inference(backward_demodulation,[status(thm)],[f522,f280])).
% 0.17/0.52 fof(f522,plain,(
% 0.17/0.52 sK47_skl=nil),
% 0.17/0.52 inference(forward_subsumption_resolution,[status(thm)],[f468,f223])).
% 0.17/0.52 fof(f599,plain,(
% 0.17/0.52 ~ssItem(sK51_skl)),
% 0.17/0.52 inference(forward_subsumption_resolution,[status(thm)],[f491,f516])).
% 0.17/0.52 fof(f600,plain,(
% 0.17/0.52 $false),
% 0.17/0.52 inference(backward_subsumption_resolution,[status(thm)],[f479,f599])).
% 0.17/0.52 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.57 % Elapsed time: 0.120034 seconds
% 0.25/0.57 % CPU time: 0.182917 seconds
% 0.25/0.57 % Total memory used: 31.924 MB
% 0.25/0.57 % Net memory used: 31.853 MB
%------------------------------------------------------------------------------