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Drodi-SAT---4.1.1.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : Drodi-SAT---4.1.1
% Problem  : SWV198+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n018.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 02:50:13 PM UTC 2026

% Result   : Theorem 3.85s 0.98s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV198+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04  % Command  : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36  % Computer : n018.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Mon Sep 21 08:36:44 UTC 2026
% 0.10/0.36  % CPUTime  : 
% 0.10/0.38  % Drodi V4.1.1
% 3.85/0.98  % Refutation found
% 3.85/0.98  % SZS status Theorem for theBenchmark: Theorem is valid
% 3.85/0.98  % SZS output start CNFRefutation for theBenchmark
% 3.85/0.98  fof(f3,axiom,(
% 3.85/0.98    (! [X] : ~ gt(X,X) )),
% 3.85/0.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.85/0.98  fof(f9,axiom,(
% 3.85/0.98    (! [X,Y] :( ( leq(X,Y)& X != Y )=> gt(Y,X) ) )),
% 3.85/0.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.85/0.98  fof(f26,axiom,(
% 3.85/0.98    (! [Body] : sum(n0,tptp_minus_1,Body) = n0 )),
% 3.85/0.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.85/0.98  fof(f27,axiom,(
% 3.85/0.98    (! [Body] : tptp_float_0_0 = sum(n0,tptp_minus_1,Body) )),
% 3.85/0.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.85/0.98  fof(f53,conjecture,(
% 3.85/0.98    ( ( a_select2(rho_defuse,n0) = use& a_select2(rho_defuse,n1) = use& a_select2(rho_defuse,n2) = use& a_select2(sigma_defuse,n0) = use& a_select2(sigma_defuse,n1) = use& a_select2(sigma_defuse,n2) = use& a_select2(sigma_defuse,n3) = use& a_select2(sigma_defuse,n4) = use& a_select2(sigma_defuse,n5) = use& a_select3(u_defuse,n0,n0) = use& a_select3(u_defuse,n1,n0) = use& a_select3(u_defuse,n2,n0) = use& a_select2(xinit_defuse,n3) = use& a_select2(xinit_defuse,n4) = use& a_select2(xinit_defuse,n5) = use& a_select2(xinit_mean_defuse,n0) = use& a_select2(xinit_mean_defuse,n1) = use& a_select2(xinit_mean_defuse,n2) = use& a_select2(xinit_mean_defuse,n3) = use& a_select2(xinit_mean_defuse,n4) = use& a_select2(xinit_mean_defuse,n5) = use& a_select2(xinit_noise_defuse,n0) = use& a_select2(xinit_noise_defuse,n1) = use& a_select2(xinit_noise_defuse,n2) = use& a_select2(xinit_noise_defuse,n3) = use& a_select2(xinit_noise_defuse,n4) = use& a_select2(xinit_noise_defuse,n5) = use& leq(n0,pv5)& leq(pv5,n0)& leq(pv5,n998)& (! [A,B] :( ( leq(n0,A)& leq(n0,B)& leq(A,n2)& leq(B,pred(pv5)) )=> a_select3(u_defuse,A,B) = use ))& (! [C,D] :( ( leq(n0,C)& leq(n0,D)& leq(C,n2)& leq(D,pred(pv5)) )=> a_select3(z_defuse,C,D) = use ) ))=> (! [E,F] :( ( leq(n0,E)& leq(n0,F)& leq(E,n2)& leq(F,pv5) )=> a_select3(u_defuse,E,F) = use ) )) ),
% 3.85/0.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.85/0.98  fof(f54,negated_conjecture,(
% 3.85/0.98    ~(( ( a_select2(rho_defuse,n0) = use& a_select2(rho_defuse,n1) = use& a_select2(rho_defuse,n2) = use& a_select2(sigma_defuse,n0) = use& a_select2(sigma_defuse,n1) = use& a_select2(sigma_defuse,n2) = use& a_select2(sigma_defuse,n3) = use& a_select2(sigma_defuse,n4) = use& a_select2(sigma_defuse,n5) = use& a_select3(u_defuse,n0,n0) = use& a_select3(u_defuse,n1,n0) = use& a_select3(u_defuse,n2,n0) = use& a_select2(xinit_defuse,n3) = use& a_select2(xinit_defuse,n4) = use& a_select2(xinit_defuse,n5) = use& a_select2(xinit_mean_defuse,n0) = use& a_select2(xinit_mean_defuse,n1) = use& a_select2(xinit_mean_defuse,n2) = use& a_select2(xinit_mean_defuse,n3) = use& a_select2(xinit_mean_defuse,n4) = use& a_select2(xinit_mean_defuse,n5) = use& a_select2(xinit_noise_defuse,n0) = use& a_select2(xinit_noise_defuse,n1) = use& a_select2(xinit_noise_defuse,n2) = use& a_select2(xinit_noise_defuse,n3) = use& a_select2(xinit_noise_defuse,n4) = use& a_select2(xinit_noise_defuse,n5) = use& leq(n0,pv5)& leq(pv5,n0)& leq(pv5,n998)& (! [A,B] :( ( leq(n0,A)& leq(n0,B)& leq(A,n2)& leq(B,pred(pv5)) )=> a_select3(u_defuse,A,B) = use ))& (! [C,D] :( ( leq(n0,C)& leq(n0,D)& leq(C,n2)& leq(D,pred(pv5)) )=> a_select3(z_defuse,C,D) = use ) ))=> (! [E,F] :( ( leq(n0,E)& leq(n0,F)& leq(E,n2)& leq(F,pv5) )=> a_select3(u_defuse,E,F) = use ) )) )),
% 3.85/0.98    inference(negated_conjecture,[status(cth)],[f53])).
% 3.85/0.98  fof(f85,axiom,(
% 3.85/0.98    (! [X] :( ( leq(n0,X)& leq(X,n0) )=> X = n0 ) )),
% 3.85/0.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.85/0.98  fof(f87,axiom,(
% 3.85/0.98    (! [X] :( ( leq(n0,X)& leq(X,n2) )=> ( X = n0| X = n1| X = n2 ) ) )),
% 3.85/0.98    file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.85/0.98  fof(f98,plain,(
% 3.85/0.98    ![X0]: (~gt(X0,X0))),
% 3.85/0.98    inference(cnf_transformation,[status(thm)],[f3])).
% 3.85/0.98  fof(f113,plain,(
% 3.85/0.98    ![X,Y]: ((~leq(X,Y)|X=Y)|gt(Y,X))),
% 3.85/0.98    inference(pre_NNF_transformation,[status(thm)],[f9])).
% 3.85/0.98  fof(f114,plain,(
% 3.85/0.98    ![X0,X1]: (~leq(X0,X1)|X0=X1|gt(X1,X0))),
% 3.85/0.98    inference(cnf_transformation,[status(thm)],[f113])).
% 3.85/0.98  fof(f204,plain,(
% 3.85/0.98    ![X0]: (sum(n0,tptp_minus_1,X0)=n0)),
% 3.85/0.98    inference(cnf_transformation,[status(thm)],[f26])).
% 3.85/0.98  fof(f205,plain,(
% 3.85/0.98    ![X0]: (tptp_float_0_0=sum(n0,tptp_minus_1,X0))),
% 3.85/0.98    inference(cnf_transformation,[status(thm)],[f27])).
% 3.85/0.98  fof(f251,plain,(
% 3.85/0.98    ((((((((((((((((((((((((((((((((a_select2(rho_defuse,n0)=use&a_select2(rho_defuse,n1)=use)&a_select2(rho_defuse,n2)=use)&a_select2(sigma_defuse,n0)=use)&a_select2(sigma_defuse,n1)=use)&a_select2(sigma_defuse,n2)=use)&a_select2(sigma_defuse,n3)=use)&a_select2(sigma_defuse,n4)=use)&a_select2(sigma_defuse,n5)=use)&a_select3(u_defuse,n0,n0)=use)&a_select3(u_defuse,n1,n0)=use)&a_select3(u_defuse,n2,n0)=use)&a_select2(xinit_defuse,n3)=use)&a_select2(xinit_defuse,n4)=use)&a_select2(xinit_defuse,n5)=use)&a_select2(xinit_mean_defuse,n0)=use)&a_select2(xinit_mean_defuse,n1)=use)&a_select2(xinit_mean_defuse,n2)=use)&a_select2(xinit_mean_defuse,n3)=use)&a_select2(xinit_mean_defuse,n4)=use)&a_select2(xinit_mean_defuse,n5)=use)&a_select2(xinit_noise_defuse,n0)=use)&a_select2(xinit_noise_defuse,n1)=use)&a_select2(xinit_noise_defuse,n2)=use)&a_select2(xinit_noise_defuse,n3)=use)&a_select2(xinit_noise_defuse,n4)=use)&a_select2(xinit_noise_defuse,n5)=use)&leq(n0,pv5))&leq(pv5,n0))&leq(pv5,n998))&(![A,B]: ((((~leq(n0,A)|~leq(n0,B))|~leq(A,n2))|~leq(B,pred(pv5)))|a_select3(u_defuse,A,B)=use)))&(![C,D]: ((((~leq(n0,C)|~leq(n0,D))|~leq(C,n2))|~leq(D,pred(pv5)))|a_select3(z_defuse,C,D)=use)))&(?[E,F]: ((((leq(n0,E)&leq(n0,F))&leq(E,n2))&leq(F,pv5))&~a_select3(u_defuse,E,F)=use)))),
% 3.85/0.98    inference(pre_NNF_transformation,[status(thm)],[f54])).
% 3.85/0.98  fof(f252,plain,(
% 3.85/0.98    (((((((((((((((((((((((((((((((a_select2(rho_defuse,n0)=use&a_select2(rho_defuse,n1)=use)&a_select2(rho_defuse,n2)=use)&a_select2(sigma_defuse,n0)=use)&a_select2(sigma_defuse,n1)=use)&a_select2(sigma_defuse,n2)=use)&a_select2(sigma_defuse,n3)=use)&a_select2(sigma_defuse,n4)=use)&a_select2(sigma_defuse,n5)=use)&a_select3(u_defuse,n0,n0)=use)&a_select3(u_defuse,n1,n0)=use)&a_select3(u_defuse,n2,n0)=use)&a_select2(xinit_defuse,n3)=use)&a_select2(xinit_defuse,n4)=use)&a_select2(xinit_defuse,n5)=use)&a_select2(xinit_mean_defuse,n0)=use)&a_select2(xinit_mean_defuse,n1)=use)&a_select2(xinit_mean_defuse,n2)=use)&a_select2(xinit_mean_defuse,n3)=use)&a_select2(xinit_mean_defuse,n4)=use)&a_select2(xinit_mean_defuse,n5)=use)&a_select2(xinit_noise_defuse,n0)=use)&a_select2(xinit_noise_defuse,n1)=use)&a_select2(xinit_noise_defuse,n2)=use)&a_select2(xinit_noise_defuse,n3)=use)&a_select2(xinit_noise_defuse,n4)=use)&a_select2(xinit_noise_defuse,n5)=use)&leq(n0,pv5))&leq(pv5,n0))&leq(pv5,n998))&(![A,B]: ((((~leq(n0,A)|~leq(n0,B))|~leq(A,n2))|~leq(B,pred(pv5)))|a_select3(u_defuse,A,B)=use)))&(![C,D]: ((((~leq(n0,C)|~leq(n0,D))|~leq(C,n2))|~leq(D,pred(pv5)))|a_select3(z_defuse,C,D)=use)))&((((leq(n0,sK23_skl)&leq(n0,sK24_skl))&leq(sK23_skl,n2))&leq(sK24_skl,pv5))&~a_select3(u_defuse,sK23_skl,sK24_skl)=use)),
% 3.85/0.98    inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(E,sK23_skl),skolemize(F,sK24_skl)],[f251])).
% 3.85/0.98  fof(f262,plain,(
% 3.85/0.98    a_select3(u_defuse,n0,n0)=use),
% 3.85/0.98    inference(cnf_transformation,[status(thm)],[f252])).
% 3.85/0.98  fof(f263,plain,(
% 3.85/0.98    a_select3(u_defuse,n1,n0)=use),
% 3.85/0.98    inference(cnf_transformation,[status(thm)],[f252])).
% 3.85/0.98  fof(f264,plain,(
% 3.85/0.98    a_select3(u_defuse,n2,n0)=use),
% 3.85/0.98    inference(cnf_transformation,[status(thm)],[f252])).
% 3.85/0.98  fof(f280,plain,(
% 3.85/0.98    leq(n0,pv5)),
% 3.85/0.98    inference(cnf_transformation,[status(thm)],[f252])).
% 3.85/0.98  fof(f281,plain,(
% 3.85/0.98    leq(pv5,n0)),
% 3.85/0.98    inference(cnf_transformation,[status(thm)],[f252])).
% 3.85/0.98  fof(f285,plain,(
% 3.85/0.98    leq(n0,sK23_skl)),
% 3.85/0.98    inference(cnf_transformation,[status(thm)],[f252])).
% 3.85/0.98  fof(f286,plain,(
% 3.85/0.98    leq(n0,sK24_skl)),
% 3.85/0.98    inference(cnf_transformation,[status(thm)],[f252])).
% 3.85/0.98  fof(f287,plain,(
% 3.85/0.98    leq(sK23_skl,n2)),
% 3.85/0.98    inference(cnf_transformation,[status(thm)],[f252])).
% 3.85/0.98  fof(f288,plain,(
% 3.85/0.98    leq(sK24_skl,pv5)),
% 3.85/0.98    inference(cnf_transformation,[status(thm)],[f252])).
% 3.85/0.98  fof(f289,plain,(
% 3.85/0.98    ~a_select3(u_defuse,sK23_skl,sK24_skl)=use),
% 3.85/0.98    inference(cnf_transformation,[status(thm)],[f252])).
% 3.85/0.98  fof(f322,plain,(
% 3.85/0.98    ![X]: ((~leq(n0,X)|~leq(X,n0))|X=n0)),
% 3.85/0.98    inference(pre_NNF_transformation,[status(thm)],[f85])).
% 3.85/0.98  fof(f323,plain,(
% 3.85/0.98    ![X0]: (~leq(n0,X0)|~leq(X0,n0)|X0=n0)),
% 3.85/0.98    inference(cnf_transformation,[status(thm)],[f322])).
% 3.85/0.98  fof(f326,plain,(
% 3.85/0.98    ![X]: ((~leq(n0,X)|~leq(X,n2))|((X=n0|X=n1)|X=n2))),
% 3.85/0.98    inference(pre_NNF_transformation,[status(thm)],[f87])).
% 3.85/0.98  fof(f327,plain,(
% 3.85/0.98    ![X0]: (~leq(n0,X0)|~leq(X0,n2)|X0=n0|X0=n1|X0=n2)),
% 3.85/0.98    inference(cnf_transformation,[status(thm)],[f326])).
% 3.85/0.98  fof(f371,plain,(
% 3.85/0.98    tptp_float_0_0=n0),
% 3.85/0.98    inference(backward_demodulation,[status(thm)],[f205,f204])).
% 3.85/0.98  fof(f414,plain,(
% 3.85/0.98    ![X0]: (~leq(n0,X0)|~leq(X0,n2)|X0=tptp_float_0_0|X0=n1|X0=n2)),
% 3.85/0.98    inference(backward_demodulation,[status(thm)],[f371,f327])).
% 3.85/0.98  fof(f416,plain,(
% 3.85/0.98    ![X0]: (~leq(n0,X0)|~leq(X0,n0)|X0=tptp_float_0_0)),
% 3.85/0.98    inference(backward_demodulation,[status(thm)],[f371,f323])).
% 3.85/0.98  fof(f426,plain,(
% 3.85/0.98    leq(tptp_float_0_0,sK24_skl)),
% 3.85/0.98    inference(backward_demodulation,[status(thm)],[f371,f286])).
% 3.85/0.98  fof(f427,plain,(
% 3.85/0.98    leq(tptp_float_0_0,sK23_skl)),
% 3.85/0.98    inference(backward_demodulation,[status(thm)],[f371,f285])).
% 3.85/0.98  fof(f430,plain,(
% 3.85/0.98    leq(pv5,tptp_float_0_0)),
% 3.85/0.98    inference(backward_demodulation,[status(thm)],[f371,f281])).
% 3.85/0.98  fof(f431,plain,(
% 3.85/0.98    leq(tptp_float_0_0,pv5)),
% 3.85/0.98    inference(backward_demodulation,[status(thm)],[f371,f280])).
% 3.85/0.98  fof(f434,plain,(
% 3.85/0.98    a_select3(u_defuse,n2,tptp_float_0_0)=use),
% 3.85/0.98    inference(backward_demodulation,[status(thm)],[f371,f264])).
% 3.85/0.98  fof(f435,plain,(
% 3.85/0.98    a_select3(u_defuse,n1,tptp_float_0_0)=use),
% 3.85/0.98    inference(backward_demodulation,[status(thm)],[f371,f263])).
% 3.85/0.98  fof(f436,plain,(
% 3.85/0.98    a_select3(u_defuse,n0,tptp_float_0_0)=use),
% 3.85/0.98    inference(backward_demodulation,[status(thm)],[f371,f262])).
% 3.85/0.98  fof(f497,plain,(
% 3.85/0.98    ![X0]: (~leq(tptp_float_0_0,X0)|~leq(X0,n2)|X0=tptp_float_0_0|X0=n1|X0=n2)),
% 3.85/0.98    inference(forward_demodulation,[status(thm)],[f371,f414])).
% 3.85/0.98  fof(f499,plain,(
% 3.85/0.98    ![X0]: (~leq(tptp_float_0_0,X0)|~leq(X0,n0)|X0=tptp_float_0_0)),
% 3.85/0.98    inference(forward_demodulation,[status(thm)],[f371,f416])).
% 3.85/0.98  fof(f500,plain,(
% 3.85/0.98    ![X0]: (~leq(tptp_float_0_0,X0)|~leq(X0,tptp_float_0_0)|X0=tptp_float_0_0)),
% 3.85/0.98    inference(forward_demodulation,[status(thm)],[f371,f499])).
% 3.85/0.98  fof(f505,plain,(
% 3.85/0.98    a_select3(u_defuse,tptp_float_0_0,tptp_float_0_0)=use),
% 3.85/0.98    inference(forward_demodulation,[status(thm)],[f371,f436])).
% 3.85/0.98  fof(f678,plain,(
% 3.85/0.98    sK24_skl=pv5|gt(pv5,sK24_skl)),
% 3.85/0.98    inference(resolution,[status(thm)],[f114,f288])).
% 3.85/0.98  fof(f686,definition,(
% 3.85/0.98    sQ0_spl <=> (tptp_float_0_0=pv5)),
% 3.85/0.98    introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 3.85/0.98  fof(f687,plain,(
% 3.85/0.98    tptp_float_0_0=pv5|~sQ0_spl),
% 3.85/0.98    inference(component_clause,[status(thm)],[f686])).
% 3.85/0.98  fof(f693,definition,(
% 3.85/0.98    sQ2_spl <=> (tptp_float_0_0=sK23_skl)),
% 3.85/0.98    introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 3.85/0.98  fof(f694,plain,(
% 3.85/0.98    tptp_float_0_0=sK23_skl|~sQ2_spl),
% 3.85/0.98    inference(component_clause,[status(thm)],[f693])).
% 3.85/0.98  fof(f700,definition,(
% 3.85/0.98    sQ4_spl <=> (tptp_float_0_0=sK24_skl)),
% 3.85/0.98    introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 3.85/0.98  fof(f701,plain,(
% 3.85/0.98    tptp_float_0_0=sK24_skl|~sQ4_spl),
% 3.85/0.98    inference(component_clause,[status(thm)],[f700])).
% 3.85/0.98  fof(f707,definition,(
% 3.85/0.98    sQ6_spl <=> (sK24_skl=pv5)),
% 3.85/0.98    introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 3.85/0.98  fof(f708,plain,(
% 3.85/0.98    sK24_skl=pv5|~sQ6_spl),
% 3.85/0.98    inference(component_clause,[status(thm)],[f707])).
% 3.85/0.98  fof(f710,definition,(
% 3.85/0.98    sQ7_spl <=> (gt(pv5,sK24_skl))),
% 3.85/0.98    introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 3.85/0.98  fof(f711,plain,(
% 3.85/0.98    gt(pv5,sK24_skl)|~sQ7_spl),
% 3.85/0.98    inference(component_clause,[status(thm)],[f710])).
% 3.85/0.98  fof(f713,plain,(
% 3.85/0.98    sQ6_spl|sQ7_spl),
% 3.85/0.98    inference(split_clause,[status(thm)],[f678,f707,f710])).
% 3.85/0.98  fof(f714,definition,(
% 3.85/0.98    sQ8_spl <=> (sK23_skl=n2)),
% 3.85/0.98    introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 3.85/0.98  fof(f715,plain,(
% 3.85/0.98    sK23_skl=n2|~sQ8_spl),
% 3.85/0.98    inference(component_clause,[status(thm)],[f714])).
% 3.85/0.98  fof(f736,plain,(
% 3.85/0.98    leq(sK24_skl,tptp_float_0_0)|~sQ0_spl),
% 3.85/0.98    inference(backward_demodulation,[status(thm)],[f687,f288])).
% 3.85/0.98  fof(f761,plain,(
% 3.85/0.98    ~a_select3(u_defuse,n2,sK24_skl)=use|~sQ8_spl),
% 3.85/0.98    inference(backward_demodulation,[status(thm)],[f715,f289])).
% 3.85/0.98  fof(f828,plain,(
% 3.85/0.98    gt(tptp_float_0_0,sK24_skl)|~sQ0_spl|~sQ7_spl),
% 3.85/0.98    inference(backward_demodulation,[status(thm)],[f687,f711])).
% 3.85/0.98  fof(f1241,plain,(
% 3.85/0.98    ~leq(tptp_float_0_0,pv5)|pv5=tptp_float_0_0),
% 3.85/0.98    inference(resolution,[status(thm)],[f500,f430])).
% 3.85/0.98  fof(f1252,definition,(
% 3.85/0.98    sQ21_spl <=> (leq(tptp_float_0_0,pv5))),
% 3.85/0.98    introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 3.85/0.98  fof(f1254,plain,(
% 3.85/0.98    ~leq(tptp_float_0_0,pv5)|sQ21_spl),
% 3.85/0.98    inference(component_clause,[status(thm)],[f1252])).
% 3.85/0.98  fof(f1255,plain,(
% 3.85/0.98    ~sQ21_spl|sQ0_spl),
% 3.85/0.98    inference(split_clause,[status(thm)],[f1241,f1252,f686])).
% 3.85/0.98  fof(f1265,plain,(
% 3.85/0.98    $false|sQ21_spl),
% 3.85/0.98    inference(forward_subsumption_resolution,[status(thm)],[f1254,f431])).
% 3.85/0.98  fof(f1266,plain,(
% 3.85/0.98    sQ21_spl),
% 3.85/0.98    inference(contradiction_clause,[status(thm)],[f1265])).
% 3.85/0.98  fof(f1403,plain,(
% 3.85/0.98    ~leq(tptp_float_0_0,sK24_skl)|sK24_skl=tptp_float_0_0|~sQ0_spl),
% 3.85/0.98    inference(resolution,[status(thm)],[f736,f500])).
% 3.85/0.98  fof(f1416,definition,(
% 3.85/0.98    sQ25_spl <=> (leq(tptp_float_0_0,sK24_skl))),
% 3.85/0.98    introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 3.85/0.98  fof(f1418,plain,(
% 3.85/0.98    ~leq(tptp_float_0_0,sK24_skl)|sQ25_spl),
% 3.85/0.98    inference(component_clause,[status(thm)],[f1416])).
% 3.85/0.98  fof(f1419,plain,(
% 3.85/0.98    ~sQ25_spl|sQ4_spl|~sQ0_spl),
% 3.85/0.98    inference(split_clause,[status(thm)],[f1403,f1416,f700,f686])).
% 3.85/0.98  fof(f1443,plain,(
% 3.85/0.98    gt(tptp_float_0_0,tptp_float_0_0)|~sQ4_spl|~sQ0_spl|~sQ7_spl),
% 3.85/0.98    inference(backward_demodulation,[status(thm)],[f701,f828])).
% 3.85/0.98  fof(f1463,plain,(
% 3.85/0.98    $false|~sQ4_spl|~sQ0_spl|~sQ7_spl),
% 3.85/0.98    inference(forward_subsumption_resolution,[status(thm)],[f1443,f98])).
% 3.85/0.98  fof(f1464,plain,(
% 3.85/0.98    ~sQ4_spl|~sQ0_spl|~sQ7_spl),
% 3.85/0.98    inference(contradiction_clause,[status(thm)],[f1463])).
% 3.85/0.98  fof(f1473,plain,(
% 3.85/0.98    sK24_skl=tptp_float_0_0|~sQ0_spl|~sQ6_spl),
% 3.85/0.98    inference(forward_demodulation,[status(thm)],[f687,f708])).
% 3.85/0.98  fof(f1514,plain,(
% 3.85/0.98    ~a_select3(u_defuse,sK23_skl,tptp_float_0_0)=use|~sQ0_spl|~sQ6_spl),
% 3.85/0.98    inference(forward_demodulation,[status(thm)],[f1473,f289])).
% 3.85/0.98  fof(f2144,plain,(
% 3.85/0.98    ~leq(tptp_float_0_0,sK23_skl)|sK23_skl=tptp_float_0_0|sK23_skl=n1|sK23_skl=n2),
% 3.85/0.98    inference(resolution,[status(thm)],[f497,f287])).
% 3.85/0.98  fof(f2161,definition,(
% 3.85/0.98    sQ48_spl <=> (leq(tptp_float_0_0,sK23_skl))),
% 3.85/0.98    introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition])).
% 3.85/0.98  fof(f2163,plain,(
% 3.85/0.98    ~leq(tptp_float_0_0,sK23_skl)|sQ48_spl),
% 3.85/0.98    inference(component_clause,[status(thm)],[f2161])).
% 3.85/0.98  fof(f2164,definition,(
% 3.85/0.98    sQ49_spl <=> (sK23_skl=n1)),
% 3.85/0.98    introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition])).
% 3.85/0.98  fof(f2165,plain,(
% 3.85/0.98    sK23_skl=n1|~sQ49_spl),
% 3.85/0.98    inference(component_clause,[status(thm)],[f2164])).
% 3.85/0.98  fof(f2167,plain,(
% 3.85/0.98    ~sQ48_spl|sQ2_spl|sQ49_spl|sQ8_spl),
% 3.85/0.98    inference(split_clause,[status(thm)],[f2144,f2161,f693,f2164,f714])).
% 3.85/0.98  fof(f2248,plain,(
% 3.85/0.98    ~a_select3(u_defuse,n1,tptp_float_0_0)=use|~sQ49_spl|~sQ0_spl|~sQ6_spl),
% 3.85/0.98    inference(backward_demodulation,[status(thm)],[f2165,f1514])).
% 3.85/0.98  fof(f2276,plain,(
% 3.85/0.98    ~a_select3(u_defuse,tptp_float_0_0,tptp_float_0_0)=use|~sQ2_spl|~sQ0_spl|~sQ6_spl),
% 3.85/0.98    inference(forward_demodulation,[status(thm)],[f694,f1514])).
% 3.85/0.98  fof(f2277,plain,(
% 3.85/0.98    ~use=use|~sQ2_spl|~sQ0_spl|~sQ6_spl),
% 3.85/0.98    inference(forward_demodulation,[status(thm)],[f505,f2276])).
% 3.85/0.98  fof(f2278,plain,(
% 3.85/0.98    $false|~sQ2_spl|~sQ0_spl|~sQ6_spl),
% 3.85/0.98    inference(trivial_equality_resolution,[status(thm)],[f2277])).
% 3.85/0.98  fof(f2279,plain,(
% 3.85/0.98    ~sQ2_spl|~sQ0_spl|~sQ6_spl),
% 3.85/0.98    inference(contradiction_clause,[status(thm)],[f2278])).
% 3.85/0.98  fof(f2280,plain,(
% 3.85/0.98    ~a_select3(u_defuse,n2,tptp_float_0_0)=use|~sQ0_spl|~sQ6_spl|~sQ8_spl),
% 3.85/0.98    inference(forward_demodulation,[status(thm)],[f1473,f761])).
% 3.85/0.98  fof(f2281,plain,(
% 3.85/0.98    ~use=use|~sQ0_spl|~sQ6_spl|~sQ8_spl),
% 3.85/0.98    inference(forward_demodulation,[status(thm)],[f434,f2280])).
% 3.85/0.98  fof(f2282,plain,(
% 3.85/0.98    $false|~sQ0_spl|~sQ6_spl|~sQ8_spl),
% 3.85/0.98    inference(trivial_equality_resolution,[status(thm)],[f2281])).
% 3.85/0.98  fof(f2283,plain,(
% 3.85/0.98    ~sQ0_spl|~sQ6_spl|~sQ8_spl),
% 3.85/0.98    inference(contradiction_clause,[status(thm)],[f2282])).
% 3.85/0.98  fof(f2284,plain,(
% 3.85/0.98    $false|sQ48_spl),
% 3.85/0.98    inference(forward_subsumption_resolution,[status(thm)],[f2163,f427])).
% 3.85/0.98  fof(f2285,plain,(
% 3.85/0.98    sQ48_spl),
% 3.85/0.98    inference(contradiction_clause,[status(thm)],[f2284])).
% 3.85/0.98  fof(f2286,plain,(
% 3.85/0.98    ~use=use|~sQ49_spl|~sQ0_spl|~sQ6_spl),
% 3.85/0.98    inference(forward_demodulation,[status(thm)],[f435,f2248])).
% 3.85/0.98  fof(f2287,plain,(
% 3.85/0.98    $false|~sQ49_spl|~sQ0_spl|~sQ6_spl),
% 3.85/0.98    inference(trivial_equality_resolution,[status(thm)],[f2286])).
% 3.85/0.98  fof(f2288,plain,(
% 3.85/0.98    ~sQ49_spl|~sQ0_spl|~sQ6_spl),
% 3.85/0.98    inference(contradiction_clause,[status(thm)],[f2287])).
% 3.85/0.98  fof(f2345,plain,(
% 3.85/0.98    $false|sQ25_spl),
% 3.85/0.98    inference(forward_subsumption_resolution,[status(thm)],[f1418,f426])).
% 3.85/0.98  fof(f2346,plain,(
% 3.85/0.98    sQ25_spl),
% 3.85/0.98    inference(contradiction_clause,[status(thm)],[f2345])).
% 3.85/0.98  fof(f2347,plain,(
% 3.85/0.98    $false),
% 3.85/0.98    inference(sat_refutation,[status(thm)],[f713,f1255,f1266,f1419,f1464,f2167,f2279,f2283,f2285,f2288,f2346])).
% 3.85/0.98  % SZS output end CNFRefutation for theBenchmark.p
% 3.85/0.99  % Elapsed time: 0.620946 seconds
% 3.85/0.99  % CPU time: 4.554929 seconds
% 3.85/0.99  % Total memory used: 149.848 MB
% 3.85/0.99  % Net memory used: 142.018 MB
%------------------------------------------------------------------------------