%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWC209+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 02:41:52 PM UTC 2026
% Result : Theorem 0.17s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWC209+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n005.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 08:04:33 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.46 % Drodi V4.1.1
% 0.17/0.49 % Refutation found
% 0.17/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.49 fof(f96,conjecture,(
% 0.17/0.49 (! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| neq(U,nil)| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ segmentP(X,W) ) ) ) ) )) )) )) )),
% 0.17/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.49 fof(f97,negated_conjecture,(
% 0.17/0.49 ~((! [U] :( ssList(U)=> (! [V] :( ssList(V)=> (! [W] :( ssList(W)=> (! [X] :( ssList(X)=> ( V != X| U != W| ~ neq(V,nil)| neq(U,nil)| ( ( nil != X| nil != W )& ( ~ neq(W,nil)| ~ segmentP(X,W) ) ) ) ) )) )) )) ))),
% 0.17/0.49 inference(negated_conjecture,[status(cth)],[f96])).
% 0.17/0.49 fof(f415,plain,(
% 0.17/0.49 (?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&neq(V,nil))&~neq(U,nil))&((nil=X&nil=W)|(neq(W,nil)&segmentP(X,W))))))))))))),
% 0.17/0.49 inference(pre_NNF_transformation,[status(thm)],[f97])).
% 0.17/0.49 fof(f416,definition,(
% 0.17/0.49 ![W,X]: (sP0_prd(X,W)<=>(nil=X&nil=W))),
% 0.17/0.49 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.17/0.49 fof(f417,plain,(
% 0.17/0.49 ?[U]: (ssList(U)&(?[V]: (ssList(V)&(?[W]: (ssList(W)&(?[X]: (ssList(X)&((((V=X&U=W)&neq(V,nil))&~neq(U,nil))&(sP0_prd(X,W)|(neq(W,nil)&segmentP(X,W)))))))))))),
% 0.17/0.49 inference(formula_renaming,[status(thm)],[f415,f416])).
% 0.17/0.49 fof(f418,plain,(
% 0.17/0.49 (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))&(sP0_prd(sK50_skl,sK49_skl)|(neq(sK49_skl,nil)&segmentP(sK50_skl,sK49_skl))))))))),
% 0.17/0.49 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])).
% 0.17/0.49 fof(f423,plain,(
% 0.17/0.49 sK48_skl=sK50_skl),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f418])).
% 0.17/0.49 fof(f424,plain,(
% 0.17/0.49 sK47_skl=sK49_skl),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f418])).
% 0.17/0.49 fof(f425,plain,(
% 0.17/0.49 neq(sK48_skl,nil)),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f418])).
% 0.17/0.49 fof(f426,plain,(
% 0.17/0.49 ~neq(sK47_skl,nil)),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f418])).
% 0.17/0.49 fof(f427,plain,(
% 0.17/0.49 sP0_prd(sK50_skl,sK49_skl)|neq(sK49_skl,nil)),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f418])).
% 0.17/0.49 fof(f429,plain,(
% 0.17/0.49 ![W,X]: ((~sP0_prd(X,W)|(nil=X&nil=W))&(sP0_prd(X,W)|(~nil=X|~nil=W)))),
% 0.17/0.49 inference(NNF_transformation,[status(thm)],[f416])).
% 0.17/0.49 fof(f430,plain,(
% 0.17/0.49 (![W,X]: (~sP0_prd(X,W)|(nil=X&nil=W)))&(![W,X]: (sP0_prd(X,W)|(~nil=X|~nil=W)))),
% 0.17/0.49 inference(miniscoping,[status(thm)],[f429])).
% 0.17/0.49 fof(f431,plain,(
% 0.17/0.49 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X0)),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f430])).
% 0.17/0.49 fof(f432,plain,(
% 0.17/0.49 ![X0,X1]: (~sP0_prd(X0,X1)|nil=X1)),
% 0.17/0.49 inference(cnf_transformation,[status(thm)],[f430])).
% 0.17/0.49 fof(f483,plain,(
% 0.17/0.49 sP0_prd(sK48_skl,sK49_skl)|neq(sK49_skl,nil)),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f423,f427])).
% 0.17/0.49 fof(f484,plain,(
% 0.17/0.49 sP0_prd(sK48_skl,sK47_skl)|neq(sK49_skl,nil)),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f424,f483])).
% 0.17/0.49 fof(f485,plain,(
% 0.17/0.49 sP0_prd(sK48_skl,sK47_skl)|neq(sK47_skl,nil)),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f424,f484])).
% 0.17/0.49 fof(f486,plain,(
% 0.17/0.49 sP0_prd(sK48_skl,sK47_skl)),
% 0.17/0.49 inference(forward_subsumption_resolution,[status(thm)],[f485,f426])).
% 0.17/0.49 fof(f487,plain,(
% 0.17/0.49 nil=sK48_skl),
% 0.17/0.49 inference(resolution,[status(thm)],[f486,f431])).
% 0.17/0.49 fof(f498,plain,(
% 0.17/0.49 ~neq(sK47_skl,sK48_skl)),
% 0.17/0.49 inference(backward_demodulation,[status(thm)],[f487,f426])).
% 0.17/0.49 fof(f499,plain,(
% 0.17/0.49 neq(sK48_skl,sK48_skl)),
% 0.17/0.49 inference(backward_demodulation,[status(thm)],[f487,f425])).
% 0.17/0.49 fof(f538,plain,(
% 0.17/0.49 ![X0,X1]: (~sP0_prd(X0,X1)|sK48_skl=X1)),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f487,f432])).
% 0.17/0.49 fof(f539,plain,(
% 0.17/0.49 sK48_skl=sK47_skl),
% 0.17/0.49 inference(resolution,[status(thm)],[f538,f486])).
% 0.17/0.49 fof(f560,plain,(
% 0.17/0.49 ~neq(sK47_skl,sK47_skl)),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f539,f498])).
% 0.17/0.49 fof(f562,plain,(
% 0.17/0.49 neq(sK47_skl,sK48_skl)),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f539,f499])).
% 0.17/0.49 fof(f563,plain,(
% 0.17/0.49 neq(sK47_skl,sK47_skl)),
% 0.17/0.49 inference(forward_demodulation,[status(thm)],[f539,f562])).
% 0.17/0.50 fof(f564,plain,(
% 0.17/0.50 $false),
% 0.17/0.50 inference(forward_subsumption_resolution,[status(thm)],[f563,f560])).
% 0.17/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.25/0.53 % Elapsed time: 0.082202 seconds
% 0.25/0.53 % CPU time: 0.223761 seconds
% 0.25/0.53 % Total memory used: 90.007 MB
% 0.25/0.53 % Net memory used: 89.871 MB
%------------------------------------------------------------------------------