%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV199+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 02:46:52 PM UTC 2026
% Result : Theorem 1.76s 1.26s
% Output : CNFRefutation 1.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 20
% Syntax : Number of formulae : 88 ( 16 unt; 14 def)
% Number of atoms : 403 ( 188 equ)
% Maximal formula atoms : 51 ( 4 avg)
% Number of connectives : 428 ( 113 ~; 114 |; 173 &)
% ( 15 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 15 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 50 ( 48 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X] : leq(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y] :
( ( X != Y
& leq(X,Y) )
=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] :
( leq(X,pred(Y))
<=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( ! [C,D] :
( ( leq(D,pred(pv5))
& leq(C,n2)
& leq(n0,D)
& leq(n0,C) )
=> a_select3(z_defuse,C,D) = use )
& ! [A,B] :
( ( leq(B,pred(pv5))
& leq(A,n2)
& leq(n0,B)
& leq(n0,A) )
=> a_select3(u_defuse,A,B) = use )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ! [E,F] :
( ( leq(F,pv5)
& leq(E,n2)
& leq(n0,F)
& leq(n0,E) )
=> ( ( ~ ( pv5 = F
& n2 = E )
& ~ ( pv5 = F
& n1 = E )
& ~ ( pv5 = F
& n0 = E ) )
=> a_select3(z_defuse,E,F) = use ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( ! [C,D] :
( ( leq(D,pred(pv5))
& leq(C,n2)
& leq(n0,D)
& leq(n0,C) )
=> a_select3(z_defuse,C,D) = use )
& ! [A,B] :
( ( leq(B,pred(pv5))
& leq(A,n2)
& leq(n0,B)
& leq(n0,A) )
=> a_select3(u_defuse,A,B) = use )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ! [E,F] :
( ( leq(F,pv5)
& leq(E,n2)
& leq(n0,F)
& leq(n0,E) )
=> ( ( ~ ( pv5 = F
& n2 = E )
& ~ ( pv5 = F
& n1 = E )
& ~ ( pv5 = F
& n0 = E ) )
=> a_select3(z_defuse,E,F) = use ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f85,axiom,
! [X] :
( ( leq(X,n0)
& leq(n0,X) )
=> X = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f87,axiom,
! [X] :
( ( leq(X,n2)
& leq(n0,X) )
=> ( X = n2
| X = n1
| X = n0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f99,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f113,plain,
! [X,Y] :
( gt(Y,X)
| X = Y
| ~ leq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f114,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f115,plain,
! [X,Y] :
( ( ~ gt(Y,X)
| leq(X,pred(Y)) )
& ( gt(Y,X)
| ~ leq(X,pred(Y)) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f116,plain,
( ! [X,Y] :
( ~ gt(Y,X)
| leq(X,pred(Y)) )
& ! [X,Y] :
( gt(Y,X)
| ~ leq(X,pred(Y)) ) ),
inference(miniscoping,[status(thm)],[f115]) ).
fof(f118,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f251,plain,
( ? [E,F] :
( a_select3(z_defuse,E,F) != use
& ( pv5 != F
| n2 != E )
& ( pv5 != F
| n1 != E )
& ( pv5 != F
| n0 != E )
& leq(F,pv5)
& leq(E,n2)
& leq(n0,F)
& leq(n0,E) )
& ! [C,D] :
( a_select3(z_defuse,C,D) = use
| ~ leq(D,pred(pv5))
| ~ leq(C,n2)
| ~ leq(n0,D)
| ~ leq(n0,C) )
& ! [A,B] :
( a_select3(u_defuse,A,B) = use
| ~ leq(B,pred(pv5))
| ~ leq(A,n2)
| ~ leq(n0,B)
| ~ leq(n0,A) )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f252,plain,
( a_select3(z_defuse,sK23_skl,sK24_skl) != use
& ( pv5 != sK24_skl
| n2 != sK23_skl )
& ( pv5 != sK24_skl
| n1 != sK23_skl )
& ( pv5 != sK24_skl
| n0 != sK23_skl )
& leq(sK24_skl,pv5)
& leq(sK23_skl,n2)
& leq(n0,sK24_skl)
& leq(n0,sK23_skl)
& ! [C,D] :
( a_select3(z_defuse,C,D) = use
| ~ leq(D,pred(pv5))
| ~ leq(C,n2)
| ~ leq(n0,D)
| ~ leq(n0,C) )
& ! [A,B] :
( a_select3(u_defuse,A,B) = use
| ~ leq(B,pred(pv5))
| ~ leq(A,n2)
| ~ leq(n0,B)
| ~ leq(n0,A) )
& leq(pv5,n998)
& leq(pv5,n0)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(E,sK23_skl),skolemize(F,sK24_skl)],[f251]) ).
fof(f280,plain,
leq(n0,pv5),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f281,plain,
leq(pv5,n0),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f284,plain,
! [X0,X1] :
( a_select3(z_defuse,X0,X1) = use
| ~ leq(X1,pred(pv5))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f285,plain,
leq(n0,sK23_skl),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f286,plain,
leq(n0,sK24_skl),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f287,plain,
leq(sK23_skl,n2),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f288,plain,
leq(sK24_skl,pv5),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f289,plain,
( pv5 != sK24_skl
| n0 != sK23_skl ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f290,plain,
( pv5 != sK24_skl
| n1 != sK23_skl ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f291,plain,
( pv5 != sK24_skl
| n2 != sK23_skl ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f292,plain,
a_select3(z_defuse,sK23_skl,sK24_skl) != use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f325,plain,
! [X] :
( X = n0
| ~ leq(X,n0)
| ~ leq(n0,X) ),
inference(pre_NNF_transformation,[status(thm)],[f85]) ).
fof(f326,plain,
! [X0] :
( X0 = n0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f325]) ).
fof(f329,plain,
! [X] :
( X = n2
| X = n1
| X = n0
| ~ leq(X,n2)
| ~ leq(n0,X) ),
inference(pre_NNF_transformation,[status(thm)],[f87]) ).
fof(f330,plain,
! [X0] :
( X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f329]) ).
fof(f374,definition,
( sQ0_spl
<=> n0 = sK23_skl ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f376,plain,
( sQ0_spl
| n0 != sK23_skl ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,definition,
( sQ1_spl
<=> pv5 = sK24_skl ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f289,f374,f377]) ).
fof(f381,definition,
( sQ2_spl
<=> n1 = sK23_skl ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ1_spl
| ~ sQ2_spl ),
inference(split_clause,[status(thm)],[f290,f381,f377]) ).
fof(f385,definition,
( sQ3_spl
<=> n2 = sK23_skl ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f388,plain,
( ~ sQ1_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f291,f385,f377]) ).
fof(f707,plain,
( ~ leq(sK24_skl,pred(pv5))
| ~ leq(sK23_skl,n2)
| ~ leq(n0,sK24_skl)
| ~ leq(n0,sK23_skl) ),
inference(resolution,[status(thm)],[f292,f284]) ).
fof(f708,definition,
( sQ13_spl
<=> leq(n0,sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f710,plain,
( sQ13_spl
| ~ leq(n0,sK23_skl) ),
inference(component_clause,[status(thm)],[f708]) ).
fof(f711,definition,
( sQ14_spl
<=> leq(n0,sK24_skl) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f713,plain,
( sQ14_spl
| ~ leq(n0,sK24_skl) ),
inference(component_clause,[status(thm)],[f711]) ).
fof(f714,definition,
( sQ15_spl
<=> leq(sK23_skl,n2) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f716,plain,
( sQ15_spl
| ~ leq(sK23_skl,n2) ),
inference(component_clause,[status(thm)],[f714]) ).
fof(f717,definition,
( sQ16_spl
<=> leq(sK24_skl,pred(pv5)) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f719,plain,
( sQ16_spl
| ~ leq(sK24_skl,pred(pv5)) ),
inference(component_clause,[status(thm)],[f717]) ).
fof(f720,plain,
( ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl ),
inference(split_clause,[status(thm)],[f707,f708,f711,f714,f717]) ).
fof(f742,plain,
( sQ16_spl
| ~ gt(pv5,sK24_skl) ),
inference(resolution,[status(thm)],[f719,f118]) ).
fof(f748,plain,
( sQ16_spl
| sK24_skl = pv5
| ~ leq(sK24_skl,pv5) ),
inference(resolution,[status(thm)],[f742,f114]) ).
fof(f752,definition,
( sQ17_spl
<=> leq(sK24_skl,pv5) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( sQ17_spl
| ~ leq(sK24_skl,pv5) ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f755,plain,
( sQ16_spl
| sQ1_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f748,f752,f377,f717]) ).
fof(f760,plain,
( sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f754,f288]) ).
fof(f761,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f760]) ).
fof(f762,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f716,f287]) ).
fof(f763,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f762]) ).
fof(f764,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f713,f286]) ).
fof(f765,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f764]) ).
fof(f766,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f710,f285]) ).
fof(f767,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f766]) ).
fof(f1079,plain,
( pv5 = n0
| ~ leq(n0,pv5) ),
inference(resolution,[status(thm)],[f281,f326]) ).
fof(f1087,definition,
( sQ45_spl
<=> leq(n0,pv5) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f1089,plain,
( sQ45_spl
| ~ leq(n0,pv5) ),
inference(component_clause,[status(thm)],[f1087]) ).
fof(f1090,definition,
( sQ46_spl
<=> pv5 = n0 ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f1091,plain,
( ~ sQ46_spl
| pv5 = n0 ),
inference(component_clause,[status(thm)],[f1090]) ).
fof(f1093,plain,
( sQ46_spl
| ~ sQ45_spl ),
inference(split_clause,[status(thm)],[f1079,f1087,f1090]) ).
fof(f1102,plain,
( sQ0_spl
| ~ sQ46_spl
| pv5 != sK23_skl ),
inference(backward_demodulation,[status(thm)],[f1091,f376]) ).
fof(f1186,plain,
( sQ45_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1089,f280]) ).
fof(f1187,plain,
sQ45_spl,
inference(contradiction_clause,[status(thm)],[f1186]) ).
fof(f1191,plain,
( ~ sQ46_spl
| leq(pv5,sK23_skl) ),
inference(backward_demodulation,[status(thm)],[f1091,f285]) ).
fof(f1692,definition,
( sQ63_spl
<=> leq(pv5,sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f1694,plain,
( sQ63_spl
| ~ leq(pv5,sK23_skl) ),
inference(component_clause,[status(thm)],[f1692]) ).
fof(f1695,definition,
( sQ64_spl
<=> leq(pv5,pv5) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f1697,plain,
( sQ64_spl
| ~ leq(pv5,pv5) ),
inference(component_clause,[status(thm)],[f1695]) ).
fof(f1699,plain,
( sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1697,f99]) ).
fof(f1700,plain,
sQ64_spl,
inference(contradiction_clause,[status(thm)],[f1699]) ).
fof(f1701,plain,
( sQ63_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1694,f1191]) ).
fof(f1702,plain,
( sQ63_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f1701]) ).
fof(f2128,plain,
! [X0] :
( ~ sQ46_spl
| X0 = n2
| X0 = n1
| X0 = n0
| ~ leq(X0,n2)
| ~ leq(pv5,X0) ),
inference(forward_demodulation,[status(thm)],[f1091,f330]) ).
fof(f2129,plain,
! [X0] :
( ~ sQ46_spl
| X0 = n2
| X0 = n1
| X0 = pv5
| ~ leq(X0,n2)
| ~ leq(pv5,X0) ),
inference(forward_demodulation,[status(thm)],[f1091,f2128]) ).
fof(f2133,plain,
( ~ sQ46_spl
| sK23_skl = n2
| sK23_skl = n1
| sK23_skl = pv5
| ~ leq(pv5,sK23_skl) ),
inference(resolution,[status(thm)],[f2129,f287]) ).
fof(f2143,definition,
( sQ74_spl
<=> sK23_skl = pv5 ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f2144,plain,
( ~ sQ74_spl
| sK23_skl = pv5 ),
inference(component_clause,[status(thm)],[f2143]) ).
fof(f2146,plain,
( ~ sQ46_spl
| sQ3_spl
| sQ2_spl
| sQ74_spl
| ~ sQ63_spl ),
inference(split_clause,[status(thm)],[f2133,f1692,f2143,f381,f385,f1090]) ).
fof(f2153,plain,
( ~ sQ74_spl
| sQ0_spl
| ~ sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2144,f1102]) ).
fof(f2154,plain,
( ~ sQ74_spl
| sQ0_spl
| ~ sQ46_spl ),
inference(contradiction_clause,[status(thm)],[f2153]) ).
fof(f2155,plain,
$false,
inference(sat_refutation,[status(thm)],[f380,f384,f388,f720,f755,f761,f763,f765,f767,f1093,f1187,f1700,f1702,f2146,f2154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV199+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.94 % Computer : n004.cluster.edu
% 0.10/0.94 % Model : x86_64 x86_64
% 0.10/0.94 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.94 % Memory : 8046.5625MB
% 0.10/0.94 % OS : Linux 6.8.0-71-generic
% 0.10/0.94 % CPULimit : 300
% 0.10/0.94 % WCLimit : 300
% 0.10/0.94 % DateTime : Mon Sep 21 08:34:36 UTC 2026
% 0.10/0.94 % CPUTime :
% 0.10/0.96 % Drodi V4.1.1
% 1.76/1.26 % Refutation found
% 1.76/1.26 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.76/1.26 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.76/1.28 % Elapsed time: 0.327371 seconds
% 1.76/1.28 % CPU time: 2.267069 seconds
% 1.76/1.28 % Total memory used: 135.520 MB
% 1.76/1.28 % Net memory used: 131.255 MB
%------------------------------------------------------------------------------