%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM490+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 01:43:02 PM UTC 2026
% Result : Theorem 0.13s 0.71s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM490+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.57 % Computer : n006.cluster.edu
% 0.09/0.57 % Model : x86_64 x86_64
% 0.09/0.57 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.57 % Memory : 8046.5625MB
% 0.09/0.57 % OS : Linux 6.8.0-71-generic
% 0.09/0.57 % CPULimit : 300
% 0.09/0.57 % WCLimit : 300
% 0.09/0.57 % DateTime : Mon Sep 21 02:34:29 UTC 2026
% 0.09/0.58 % CPUTime :
% 0.09/0.59 % Drodi V4.1.1
% 0.13/0.71 % Refutation found
% 0.13/0.71 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.71 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.71 fof(f4,axiom,(
% 0.13/0.71 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtpldt0(W0,W1)) ) )),
% 0.13/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.71 fof(f5,axiom,(
% 0.13/0.71 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> aNaturalNumber0(sdtasdt0(W0,W1)) ) )),
% 0.13/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.71 fof(f9,axiom,(
% 0.13/0.71 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) )),
% 0.13/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.71 fof(f18,definition,(
% 0.13/0.71 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)<=> (? [W2] :( aNaturalNumber0(W2)& sdtpldt0(W0,W2) = W1 ) )) ) )),
% 0.13/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.71 fof(f19,definition,(
% 0.13/0.71 (! [W0,W1] :( ( aNaturalNumber0(W0)& aNaturalNumber0(W1) )=> ( sdtlseqdt0(W0,W1)=> (! [W2] :( W2 = sdtmndt0(W1,W0)<=> ( aNaturalNumber0(W2)& sdtpldt0(W0,W2) = W1 ) ) )) ) )),
% 0.13/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.71 fof(f39,hypothesis,(
% 0.13/0.71 ( aNaturalNumber0(xn)& aNaturalNumber0(xm)& aNaturalNumber0(xp) ) ),
% 0.13/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.71 fof(f42,hypothesis,(
% 0.13/0.71 sdtlseqdt0(xp,xn) ),
% 0.13/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.71 fof(f43,hypothesis,(
% 0.13/0.71 xr = sdtmndt0(xn,xp) ),
% 0.13/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.71 fof(f46,hypothesis,(
% 0.13/0.71 sdtasdt0(xn,xm) = sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm)) ),
% 0.13/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.71 fof(f47,conjecture,(
% 0.13/0.71 sdtasdt0(xr,xm) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
% 0.13/0.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.71 fof(f48,negated_conjecture,(
% 0.13/0.71 ~(sdtasdt0(xr,xm) = sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) )),
% 0.13/0.71 inference(negated_conjecture,[status(cth)],[f47])).
% 0.13/0.71 fof(f55,plain,(
% 0.13/0.71 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtpldt0(W0,W1)))),
% 0.13/0.71 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.13/0.71 fof(f56,plain,(
% 0.13/0.71 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtpldt0(X0,X1)))),
% 0.13/0.71 inference(cnf_transformation,[status(thm)],[f55])).
% 0.13/0.71 fof(f57,plain,(
% 0.13/0.71 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|aNaturalNumber0(sdtasdt0(W0,W1)))),
% 0.13/0.71 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.13/0.71 fof(f58,plain,(
% 0.13/0.71 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|aNaturalNumber0(sdtasdt0(X0,X1)))),
% 0.13/0.71 inference(cnf_transformation,[status(thm)],[f57])).
% 0.13/0.71 fof(f66,plain,(
% 0.13/0.71 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|sdtasdt0(W0,W1)=sdtasdt0(W1,W0))),
% 0.13/0.71 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.13/0.71 fof(f67,plain,(
% 0.13/0.71 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtasdt0(X0,X1)=sdtasdt0(X1,X0))),
% 0.13/0.71 inference(cnf_transformation,[status(thm)],[f66])).
% 0.13/0.71 fof(f90,plain,(
% 0.13/0.71 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(sdtlseqdt0(W0,W1)<=>(?[W2]: (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1))))),
% 0.13/0.71 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.13/0.71 fof(f91,plain,(
% 0.13/0.71 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~sdtlseqdt0(W0,W1)|(?[W2]: (aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))&(sdtlseqdt0(W0,W1)|(![W2]: (~aNaturalNumber0(W2)|~sdtpldt0(W0,W2)=W1)))))),
% 0.13/0.71 inference(NNF_transformation,[status(thm)],[f90])).
% 0.13/0.71 fof(f92,plain,(
% 0.13/0.71 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|((~sdtlseqdt0(W0,W1)|(aNaturalNumber0(sK0_skl(W1,W0))&sdtpldt0(W0,sK0_skl(W1,W0))=W1))&(sdtlseqdt0(W0,W1)|(![W2]: (~aNaturalNumber0(W2)|~sdtpldt0(W0,W2)=W1)))))),
% 0.13/0.71 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W2,sK0_skl(W1,W0))],[f91])).
% 0.13/0.71 fof(f95,plain,(
% 0.13/0.71 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|sdtlseqdt0(X0,X1)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X2)=X1)),
% 0.13/0.71 inference(cnf_transformation,[status(thm)],[f92])).
% 0.13/0.71 fof(f96,plain,(
% 0.13/0.71 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtlseqdt0(W0,W1)|(![W2]: (W2=sdtmndt0(W1,W0)<=>(aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))))),
% 0.13/0.71 inference(pre_NNF_transformation,[status(thm)],[f19])).
% 0.13/0.71 fof(f97,plain,(
% 0.13/0.71 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtlseqdt0(W0,W1)|(![W2]: ((~W2=sdtmndt0(W1,W0)|(aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1))&(W2=sdtmndt0(W1,W0)|(~aNaturalNumber0(W2)|~sdtpldt0(W0,W2)=W1))))))),
% 0.13/0.71 inference(NNF_transformation,[status(thm)],[f96])).
% 0.13/0.71 fof(f98,plain,(
% 0.13/0.71 ![W0,W1]: ((~aNaturalNumber0(W0)|~aNaturalNumber0(W1))|(~sdtlseqdt0(W0,W1)|((![W2]: (~W2=sdtmndt0(W1,W0)|(aNaturalNumber0(W2)&sdtpldt0(W0,W2)=W1)))&(![W2]: (W2=sdtmndt0(W1,W0)|(~aNaturalNumber0(W2)|~sdtpldt0(W0,W2)=W1))))))),
% 0.13/0.71 inference(miniscoping,[status(thm)],[f97])).
% 0.13/0.71 fof(f99,plain,(
% 0.13/0.71 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|~X2=sdtmndt0(X1,X0)|aNaturalNumber0(X2))),
% 0.13/0.71 inference(cnf_transformation,[status(thm)],[f98])).
% 0.13/0.71 fof(f101,plain,(
% 0.13/0.71 ![X0,X1,X2]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|X2=sdtmndt0(X1,X0)|~aNaturalNumber0(X2)|~sdtpldt0(X0,X2)=X1)),
% 0.13/0.71 inference(cnf_transformation,[status(thm)],[f98])).
% 0.13/0.71 fof(f167,plain,(
% 0.13/0.71 aNaturalNumber0(xn)),
% 0.13/0.71 inference(cnf_transformation,[status(thm)],[f39])).
% 0.13/0.71 fof(f168,plain,(
% 0.13/0.71 aNaturalNumber0(xm)),
% 0.13/0.71 inference(cnf_transformation,[status(thm)],[f39])).
% 0.13/0.71 fof(f169,plain,(
% 0.13/0.71 aNaturalNumber0(xp)),
% 0.13/0.71 inference(cnf_transformation,[status(thm)],[f39])).
% 0.13/0.71 fof(f174,plain,(
% 0.13/0.71 sdtlseqdt0(xp,xn)),
% 0.13/0.71 inference(cnf_transformation,[status(thm)],[f42])).
% 0.13/0.71 fof(f175,plain,(
% 0.13/0.71 xr=sdtmndt0(xn,xp)),
% 0.13/0.71 inference(cnf_transformation,[status(thm)],[f43])).
% 0.13/0.71 fof(f179,plain,(
% 0.13/0.71 sdtasdt0(xn,xm)=sdtpldt0(sdtasdt0(xp,xm),sdtasdt0(xr,xm))),
% 0.13/0.71 inference(cnf_transformation,[status(thm)],[f46])).
% 0.13/0.71 fof(f180,plain,(
% 0.13/0.71 ~sdtasdt0(xr,xm)=sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))),
% 0.13/0.71 inference(cnf_transformation,[status(thm)],[f48])).
% 0.13/0.71 fof(f181,plain,(
% 0.13/0.71 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(X0,X1))|sdtlseqdt0(X0,sdtpldt0(X0,X1))|~aNaturalNumber0(X1))),
% 0.13/0.71 inference(destructive_equality_resolution,[status(thm)],[f95])).
% 0.13/0.71 fof(f182,plain,(
% 0.13/0.71 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(X1)|~sdtlseqdt0(X0,X1)|aNaturalNumber0(sdtmndt0(X1,X0)))),
% 0.13/0.71 inference(destructive_equality_resolution,[status(thm)],[f99])).
% 0.13/0.71 fof(f184,plain,(
% 0.13/0.71 ![X0,X1]: (~aNaturalNumber0(X0)|~aNaturalNumber0(sdtpldt0(X0,X1))|~sdtlseqdt0(X0,sdtpldt0(X0,X1))|X1=sdtmndt0(sdtpldt0(X0,X1),X0)|~aNaturalNumber0(X1))),
% 0.13/0.71 inference(destructive_equality_resolution,[status(thm)],[f101])).
% 0.13/0.71 fof(f193,plain,(
% 0.13/0.71 ![X0]: (~aNaturalNumber0(X0)|sdtasdt0(X0,xp)=sdtasdt0(xp,X0))),
% 0.13/0.71 inference(resolution,[status(thm)],[f67,f169])).
% 0.13/0.71 fof(f234,definition,(
% 0.13/0.71 sQ0_spl <=> (aNaturalNumber0(xp))),
% 0.13/0.71 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.71 fof(f236,plain,(
% 0.13/0.71 ~aNaturalNumber0(xp)|sQ0_spl),
% 0.13/0.71 inference(component_clause,[status(thm)],[f234])).
% 0.13/0.71 fof(f237,definition,(
% 0.13/0.71 sQ1_spl <=> (aNaturalNumber0(xr))),
% 0.13/0.71 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.71 fof(f239,plain,(
% 0.13/0.71 ~aNaturalNumber0(xr)|sQ1_spl),
% 0.13/0.71 inference(component_clause,[status(thm)],[f237])).
% 0.13/0.71 fof(f240,definition,(
% 0.13/0.71 sQ2_spl <=> (aNaturalNumber0(xn))),
% 0.13/0.71 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.71 fof(f242,plain,(
% 0.13/0.71 ~aNaturalNumber0(xn)|sQ2_spl),
% 0.13/0.71 inference(component_clause,[status(thm)],[f240])).
% 0.13/0.71 fof(f278,definition,(
% 0.13/0.71 sQ4_spl <=> (aNaturalNumber0(xm))),
% 0.13/0.71 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.13/0.71 fof(f280,plain,(
% 0.13/0.71 ~aNaturalNumber0(xm)|sQ4_spl),
% 0.13/0.71 inference(component_clause,[status(thm)],[f278])).
% 0.13/0.71 fof(f285,plain,(
% 0.13/0.71 ~aNaturalNumber0(xp)|~aNaturalNumber0(xn)|aNaturalNumber0(sdtmndt0(xn,xp))),
% 0.13/0.71 inference(resolution,[status(thm)],[f182,f174])).
% 0.13/0.71 fof(f291,definition,(
% 0.13/0.71 sQ6_spl <=> (aNaturalNumber0(sdtmndt0(xn,xp)))),
% 0.13/0.71 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.13/0.71 fof(f292,plain,(
% 0.13/0.71 aNaturalNumber0(sdtmndt0(xn,xp))|~sQ6_spl),
% 0.13/0.71 inference(component_clause,[status(thm)],[f291])).
% 0.13/0.71 fof(f294,plain,(
% 0.13/0.71 ~sQ0_spl|~sQ2_spl|sQ6_spl),
% 0.13/0.71 inference(split_clause,[status(thm)],[f285,f234,f240,f291])).
% 0.13/0.71 fof(f296,plain,(
% 0.13/0.71 $false|sQ0_spl),
% 0.13/0.71 inference(forward_subsumption_resolution,[status(thm)],[f236,f169])).
% 0.13/0.71 fof(f297,plain,(
% 0.13/0.71 sQ0_spl),
% 0.13/0.71 inference(contradiction_clause,[status(thm)],[f296])).
% 0.13/0.71 fof(f298,plain,(
% 0.13/0.71 $false|sQ2_spl),
% 0.13/0.71 inference(forward_subsumption_resolution,[status(thm)],[f242,f167])).
% 0.13/0.71 fof(f299,plain,(
% 0.13/0.71 sQ2_spl),
% 0.13/0.71 inference(contradiction_clause,[status(thm)],[f298])).
% 0.13/0.71 fof(f300,plain,(
% 0.13/0.71 aNaturalNumber0(xr)|~sQ6_spl),
% 0.13/0.71 inference(forward_demodulation,[status(thm)],[f175,f292])).
% 0.13/0.71 fof(f301,plain,(
% 0.13/0.71 $false|sQ1_spl|~sQ6_spl),
% 0.13/0.71 inference(forward_subsumption_resolution,[status(thm)],[f300,f239])).
% 0.13/0.71 fof(f302,plain,(
% 0.13/0.71 sQ1_spl|~sQ6_spl),
% 0.13/0.71 inference(contradiction_clause,[status(thm)],[f301])).
% 0.13/0.71 fof(f340,plain,(
% 0.13/0.71 ![X0,X1]: (~aNaturalNumber0(X0)|~sdtlseqdt0(X0,sdtpldt0(X0,X1))|X1=sdtmndt0(sdtpldt0(X0,X1),X0)|~aNaturalNumber0(X1))),
% 0.13/0.71 inference(forward_subsumption_resolution,[status(thm)],[f184,f56])).
% 0.13/0.71 fof(f496,definition,(
% 0.13/0.71 sQ33_spl <=> (aNaturalNumber0(sdtasdt0(xr,xm)))),
% 0.13/0.71 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.13/0.71 fof(f498,plain,(
% 0.13/0.71 ~aNaturalNumber0(sdtasdt0(xr,xm))|sQ33_spl),
% 0.13/0.71 inference(component_clause,[status(thm)],[f496])).
% 0.13/0.71 fof(f515,plain,(
% 0.13/0.71 sdtasdt0(xm,xp)=sdtasdt0(xp,xm)),
% 0.13/0.71 inference(resolution,[status(thm)],[f193,f168])).
% 0.13/0.71 fof(f629,plain,(
% 0.13/0.71 $false|sQ4_spl),
% 0.13/0.71 inference(forward_subsumption_resolution,[status(thm)],[f280,f168])).
% 0.13/0.71 fof(f630,plain,(
% 0.13/0.71 sQ4_spl),
% 0.13/0.71 inference(contradiction_clause,[status(thm)],[f629])).
% 0.13/0.71 fof(f886,plain,(
% 0.13/0.71 ~aNaturalNumber0(xr)|~aNaturalNumber0(xm)|sQ33_spl),
% 0.13/0.71 inference(resolution,[status(thm)],[f498,f58])).
% 0.13/0.71 fof(f887,plain,(
% 0.13/0.71 ~sQ1_spl|~sQ4_spl|sQ33_spl),
% 0.13/0.71 inference(split_clause,[status(thm)],[f886,f237,f278,f496])).
% 0.13/0.71 fof(f1560,plain,(
% 0.13/0.71 sdtasdt0(xn,xm)=sdtpldt0(sdtasdt0(xm,xp),sdtasdt0(xr,xm))),
% 0.13/0.71 inference(backward_demodulation,[status(thm)],[f515,f179])).
% 0.13/0.71 fof(f1561,plain,(
% 0.13/0.71 ~sdtasdt0(xr,xm)=sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xm,xp))),
% 0.13/0.71 inference(backward_demodulation,[status(thm)],[f515,f180])).
% 0.13/0.71 fof(f1562,plain,(
% 0.13/0.71 ~aNaturalNumber0(xp)|~aNaturalNumber0(xm)|aNaturalNumber0(sdtasdt0(xm,xp))),
% 0.13/0.71 inference(paramodulation,[status(thm)],[f515,f58])).
% 0.13/0.71 fof(f1563,definition,(
% 0.13/0.71 sQ109_spl <=> (aNaturalNumber0(sdtasdt0(xm,xp)))),
% 0.13/0.71 introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition])).
% 0.13/0.71 fof(f1566,plain,(
% 0.13/0.71 ~sQ0_spl|~sQ4_spl|sQ109_spl),
% 0.13/0.71 inference(split_clause,[status(thm)],[f1562,f234,f278,f1563])).
% 0.13/0.71 fof(f1913,plain,(
% 0.13/0.71 ~aNaturalNumber0(sdtasdt0(xm,xp))|~sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xn,xm))|sdtasdt0(xr,xm)=sdtmndt0(sdtpldt0(sdtasdt0(xm,xp),sdtasdt0(xr,xm)),sdtasdt0(xm,xp))|~aNaturalNumber0(sdtasdt0(xr,xm))),
% 0.13/0.71 inference(paramodulation,[status(thm)],[f1560,f340])).
% 0.13/0.71 fof(f1915,definition,(
% 0.13/0.71 sQ155_spl <=> (sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xn,xm)))),
% 0.13/0.71 introduced(definition,[new_symbols(definition,[sQ155_spl])],[split_symbol_definition])).
% 0.13/0.71 fof(f1918,definition,(
% 0.13/0.71 sQ156_spl <=> (sdtasdt0(xr,xm)=sdtmndt0(sdtpldt0(sdtasdt0(xm,xp),sdtasdt0(xr,xm)),sdtasdt0(xm,xp)))),
% 0.13/0.71 introduced(definition,[new_symbols(definition,[sQ156_spl])],[split_symbol_definition])).
% 0.13/0.71 fof(f1919,plain,(
% 0.13/0.71 sdtasdt0(xr,xm)=sdtmndt0(sdtpldt0(sdtasdt0(xm,xp),sdtasdt0(xr,xm)),sdtasdt0(xm,xp))|~sQ156_spl),
% 0.13/0.71 inference(component_clause,[status(thm)],[f1918])).
% 0.13/0.71 fof(f1921,plain,(
% 0.13/0.71 ~sQ109_spl|~sQ155_spl|sQ156_spl|~sQ33_spl),
% 0.13/0.71 inference(split_clause,[status(thm)],[f1913,f1563,f1915,f1918,f496])).
% 0.13/0.71 fof(f2159,plain,(
% 0.13/0.71 ![X0,X1]: (~aNaturalNumber0(X0)|sdtlseqdt0(X0,sdtpldt0(X0,X1))|~aNaturalNumber0(X1))),
% 0.13/0.71 inference(forward_subsumption_resolution,[status(thm)],[f181,f56])).
% 0.13/0.71 fof(f2192,plain,(
% 0.13/0.71 ~aNaturalNumber0(sdtasdt0(xm,xp))|sdtlseqdt0(sdtasdt0(xm,xp),sdtasdt0(xn,xm))|~aNaturalNumber0(sdtasdt0(xr,xm))),
% 0.13/0.71 inference(paramodulation,[status(thm)],[f1560,f2159])).
% 0.13/0.71 fof(f2194,plain,(
% 0.13/0.71 ~sQ109_spl|sQ155_spl|~sQ33_spl),
% 0.13/0.71 inference(split_clause,[status(thm)],[f2192,f1563,f1915,f496])).
% 0.13/0.71 fof(f2196,plain,(
% 0.13/0.71 sdtasdt0(xr,xm)=sdtmndt0(sdtasdt0(xn,xm),sdtasdt0(xm,xp))|~sQ156_spl),
% 0.13/0.71 inference(forward_demodulation,[status(thm)],[f1560,f1919])).
% 0.13/0.72 fof(f2197,plain,(
% 0.13/0.72 $false|~sQ156_spl),
% 0.13/0.72 inference(forward_subsumption_resolution,[status(thm)],[f2196,f1561])).
% 0.13/0.72 fof(f2198,plain,(
% 0.13/0.72 ~sQ156_spl),
% 0.13/0.72 inference(contradiction_clause,[status(thm)],[f2197])).
% 0.13/0.72 fof(f2199,plain,(
% 0.13/0.72 $false),
% 0.13/0.72 inference(sat_refutation,[status(thm)],[f294,f297,f299,f302,f630,f887,f1566,f1921,f2194,f2198])).
% 0.13/0.72 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.73 % Elapsed time: 0.141429 seconds
% 0.13/0.73 % CPU time: 0.830655 seconds
% 0.13/0.73 % Total memory used: 115.449 MB
% 0.13/0.73 % Net memory used: 114.237 MB
%------------------------------------------------------------------------------