TSTP Solution File: SWV203+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV203+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:40:54 EDT 2023
% Result : Theorem 0.14s 0.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 59
% Syntax : Number of formulae : 242 ( 91 unt; 0 def)
% Number of atoms : 629 ( 205 equ)
% Maximal formula atoms : 51 ( 2 avg)
% Number of connectives : 556 ( 169 ~; 160 |; 177 &)
% ( 36 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 44 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 39 ( 37 usr; 34 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 19 con; 0-3 aty)
% Number of variables : 94 (; 92 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : leq(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] :
( ( leq(X,Y)
& leq(Y,Z) )
=> leq(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( lt(X,Y)
<=> gt(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( geq(X,Y)
<=> leq(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( gt(Y,X)
=> leq(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y] :
( ( leq(X,Y)
& X != Y )
=> gt(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X,Y] :
( leq(X,pred(Y))
<=> gt(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X] : pred(succ(X)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [X] : succ(pred(X)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( 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,n998)
& gt(pv5,n0)
& ! [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) )
=> ( ( ~ ( n0 = E
& pv5 = F )
& ~ ( n1 = E
& pv5 = F )
& ~ ( n2 = E
& pv5 = F ) )
=> a_select3(z_defuse,E,F) = use ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( 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,n998)
& gt(pv5,n0)
& ! [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) )
=> ( ( ~ ( n0 = E
& pv5 = F )
& ~ ( n1 = E
& pv5 = F )
& ~ ( n2 = E
& pv5 = F ) )
=> a_select3(z_defuse,E,F) = use ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f62,axiom,
gt(n1,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f63,axiom,
gt(n2,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,axiom,
gt(n4,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f68,axiom,
gt(n1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f69,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f70,axiom,
gt(n3,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f71,axiom,
gt(n4,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,axiom,
gt(n5,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f73,axiom,
gt(n998,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,axiom,
gt(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f76,axiom,
gt(n4,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f78,axiom,
gt(n998,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f79,axiom,
gt(n3,n2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f87,axiom,
! [X] :
( ( leq(n0,X)
& leq(X,n2) )
=> ( X = n0
| X = n1
| X = n2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f91,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f98,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f99,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f100,plain,
! [X,Y,Z] :
( ~ leq(X,Y)
| ~ leq(Y,Z)
| leq(X,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f101,plain,
! [X,Z] :
( ! [Y] :
( ~ leq(X,Y)
| ~ leq(Y,Z) )
| leq(X,Z) ),
inference(miniscoping,[status(esa)],[f100]) ).
fof(f102,plain,
! [X0,X1,X2] :
( ~ leq(X0,X1)
| ~ leq(X1,X2)
| leq(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f101]) ).
fof(f103,plain,
! [X,Y] :
( ( ~ lt(X,Y)
| gt(Y,X) )
& ( lt(X,Y)
| ~ gt(Y,X) ) ),
inference(NNF_transformation,[status(esa)],[f6]) ).
fof(f104,plain,
( ! [X,Y] :
( ~ lt(X,Y)
| gt(Y,X) )
& ! [X,Y] :
( lt(X,Y)
| ~ gt(Y,X) ) ),
inference(miniscoping,[status(esa)],[f103]) ).
fof(f105,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| gt(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f104]) ).
fof(f106,plain,
! [X0,X1] :
( lt(X0,X1)
| ~ gt(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f104]) ).
fof(f107,plain,
! [X,Y] :
( ( ~ geq(X,Y)
| leq(Y,X) )
& ( geq(X,Y)
| ~ leq(Y,X) ) ),
inference(NNF_transformation,[status(esa)],[f7]) ).
fof(f108,plain,
( ! [X,Y] :
( ~ geq(X,Y)
| leq(Y,X) )
& ! [X,Y] :
( geq(X,Y)
| ~ leq(Y,X) ) ),
inference(miniscoping,[status(esa)],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( ~ geq(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f108]) ).
fof(f110,plain,
! [X0,X1] :
( geq(X0,X1)
| ~ leq(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f108]) ).
fof(f111,plain,
! [X,Y] :
( ~ gt(Y,X)
| leq(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f112,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f111]) ).
fof(f113,plain,
! [X,Y] :
( ~ leq(X,Y)
| X = Y
| gt(Y,X) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f114,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| gt(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f113]) ).
fof(f115,plain,
! [X,Y] :
( ( ~ leq(X,pred(Y))
| gt(Y,X) )
& ( leq(X,pred(Y))
| ~ gt(Y,X) ) ),
inference(NNF_transformation,[status(esa)],[f10]) ).
fof(f116,plain,
( ! [X,Y] :
( ~ leq(X,pred(Y))
| gt(Y,X) )
& ! [X,Y] :
( leq(X,pred(Y))
| ~ gt(Y,X) ) ),
inference(miniscoping,[status(esa)],[f115]) ).
fof(f118,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f116]) ).
fof(f218,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f219,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f251,plain,
( 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,n998)
& gt(pv5,n0)
& ! [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)
& ( n0 != E
| pv5 != F )
& ( n1 != E
| pv5 != F )
& ( n2 != E
| pv5 != F )
& a_select3(z_defuse,E,F) != use ) ),
inference(pre_NNF_transformation,[status(esa)],[f54]) ).
fof(f252,plain,
( 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,n998)
& gt(pv5,n0)
& ! [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,sk0_23)
& leq(n0,sk0_24)
& leq(sk0_23,n2)
& leq(sk0_24,pv5)
& ( n0 != sk0_23
| pv5 != sk0_24 )
& ( n1 != sk0_23
| pv5 != sk0_24 )
& ( n2 != sk0_23
| pv5 != sk0_24 )
& a_select3(z_defuse,sk0_23,sk0_24) != use ),
inference(skolemization,[status(esa)],[f251]) ).
fof(f282,plain,
gt(pv5,n0),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f284,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pred(pv5))
| a_select3(z_defuse,X0,X1) = use ),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f285,plain,
leq(n0,sk0_23),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f286,plain,
leq(n0,sk0_24),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f287,plain,
leq(sk0_23,n2),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f288,plain,
leq(sk0_24,pv5),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f289,plain,
( n0 != sk0_23
| pv5 != sk0_24 ),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f290,plain,
( n1 != sk0_23
| pv5 != sk0_24 ),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f291,plain,
( n2 != sk0_23
| pv5 != sk0_24 ),
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f292,plain,
a_select3(z_defuse,sk0_23,sk0_24) != use,
inference(cnf_transformation,[status(esa)],[f252]) ).
fof(f300,plain,
gt(n1,tptp_minus_1),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f301,plain,
gt(n2,tptp_minus_1),
inference(cnf_transformation,[status(esa)],[f63]) ).
fof(f303,plain,
gt(n4,n0),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f306,plain,
gt(n1,n0),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f307,plain,
gt(n2,n0),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f308,plain,
gt(n3,n0),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f309,plain,
gt(n4,n1),
inference(cnf_transformation,[status(esa)],[f71]) ).
fof(f310,plain,
gt(n5,n1),
inference(cnf_transformation,[status(esa)],[f72]) ).
fof(f311,plain,
gt(n998,n1),
inference(cnf_transformation,[status(esa)],[f73]) ).
fof(f312,plain,
gt(n2,n1),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f314,plain,
gt(n4,n2),
inference(cnf_transformation,[status(esa)],[f76]) ).
fof(f316,plain,
gt(n998,n2),
inference(cnf_transformation,[status(esa)],[f78]) ).
fof(f317,plain,
gt(n3,n2),
inference(cnf_transformation,[status(esa)],[f79]) ).
fof(f329,plain,
! [X] :
( ~ leq(n0,X)
| ~ leq(X,n2)
| X = n0
| X = n1
| X = n2 ),
inference(pre_NNF_transformation,[status(esa)],[f87]) ).
fof(f330,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| X0 = n0
| X0 = n1
| X0 = n2 ),
inference(cnf_transformation,[status(esa)],[f329]) ).
fof(f335,plain,
succ(n0) = n1,
inference(cnf_transformation,[status(esa)],[f91]) ).
fof(f365,plain,
( spl0_0
<=> n0 = sk0_23 ),
introduced(split_symbol_definition) ).
fof(f368,plain,
( spl0_1
<=> pv5 = sk0_24 ),
introduced(split_symbol_definition) ).
fof(f371,plain,
( ~ spl0_0
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f289,f365,f368]) ).
fof(f372,plain,
( spl0_2
<=> n1 = sk0_23 ),
introduced(split_symbol_definition) ).
fof(f375,plain,
( ~ spl0_2
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f290,f372,f368]) ).
fof(f376,plain,
( spl0_3
<=> n2 = sk0_23 ),
introduced(split_symbol_definition) ).
fof(f379,plain,
( ~ spl0_3
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f291,f376,f368]) ).
fof(f404,plain,
! [X0] :
( ~ leq(X0,sk0_23)
| leq(X0,n2) ),
inference(resolution,[status(thm)],[f102,f287]) ).
fof(f411,plain,
lt(tptp_minus_1,n2),
inference(resolution,[status(thm)],[f106,f301]) ).
fof(f413,plain,
lt(tptp_minus_1,n1),
inference(resolution,[status(thm)],[f106,f300]) ).
fof(f432,plain,
( spl0_4
<=> leq(n0,n2) ),
introduced(split_symbol_definition) ).
fof(f434,plain,
( ~ leq(n0,n2)
| spl0_4 ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,plain,
( spl0_5
<=> leq(n0,n0) ),
introduced(split_symbol_definition) ).
fof(f437,plain,
( ~ leq(n0,n0)
| spl0_5 ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f441,plain,
( spl0_7
<=> leq(n0,pred(pv5)) ),
introduced(split_symbol_definition) ).
fof(f443,plain,
( ~ leq(n0,pred(pv5))
| spl0_7 ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f449,plain,
( spl0_9
<=> leq(n0,n1) ),
introduced(split_symbol_definition) ).
fof(f451,plain,
( ~ leq(n0,n1)
| spl0_9 ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,plain,
( spl0_10
<=> leq(n1,n2) ),
introduced(split_symbol_definition) ).
fof(f454,plain,
( ~ leq(n1,n2)
| spl0_10 ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f464,plain,
leq(n0,n2),
inference(resolution,[status(thm)],[f404,f285]) ).
fof(f470,plain,
( spl0_11
<=> leq(n0,sk0_23) ),
introduced(split_symbol_definition) ).
fof(f472,plain,
( ~ leq(n0,sk0_23)
| spl0_11 ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( spl0_12
<=> leq(n0,sk0_24) ),
introduced(split_symbol_definition) ).
fof(f475,plain,
( ~ leq(n0,sk0_24)
| spl0_12 ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,plain,
( spl0_13
<=> leq(sk0_23,n2) ),
introduced(split_symbol_definition) ).
fof(f478,plain,
( ~ leq(sk0_23,n2)
| spl0_13 ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( spl0_14
<=> leq(sk0_24,pred(pv5)) ),
introduced(split_symbol_definition) ).
fof(f481,plain,
( ~ leq(sk0_24,pred(pv5))
| spl0_14 ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,plain,
( ~ leq(n0,sk0_23)
| ~ leq(n0,sk0_24)
| ~ leq(sk0_23,n2)
| ~ leq(sk0_24,pred(pv5)) ),
inference(resolution,[status(thm)],[f284,f292]) ).
fof(f483,plain,
( ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(split_clause,[status(thm)],[f482,f470,f473,f476,f479]) ).
fof(f484,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f478,f287]) ).
fof(f485,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f484]) ).
fof(f486,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f475,f286]) ).
fof(f487,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f486]) ).
fof(f488,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f472,f285]) ).
fof(f489,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f488]) ).
fof(f492,plain,
lt(n1,n4),
inference(resolution,[status(thm)],[f309,f106]) ).
fof(f494,plain,
lt(n1,n5),
inference(resolution,[status(thm)],[f310,f106]) ).
fof(f506,plain,
lt(n2,n998),
inference(resolution,[status(thm)],[f316,f106]) ).
fof(f510,plain,
leq(n2,n3),
inference(resolution,[status(thm)],[f112,f317]) ).
fof(f512,plain,
leq(n0,n3),
inference(resolution,[status(thm)],[f112,f308]) ).
fof(f514,plain,
leq(n1,n2),
inference(resolution,[status(thm)],[f112,f312]) ).
fof(f515,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f514,f454]) ).
fof(f516,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f515]) ).
fof(f519,plain,
leq(n0,n1),
inference(resolution,[status(thm)],[f112,f306]) ).
fof(f520,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f519,f451]) ).
fof(f521,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f520]) ).
fof(f525,plain,
leq(n1,n4),
inference(resolution,[status(thm)],[f112,f309]) ).
fof(f526,plain,
leq(n0,n4),
inference(resolution,[status(thm)],[f112,f303]) ).
fof(f543,plain,
( spl0_15
<=> gt(pv5,sk0_24) ),
introduced(split_symbol_definition) ).
fof(f544,plain,
( gt(pv5,sk0_24)
| ~ spl0_15 ),
inference(component_clause,[status(thm)],[f543]) ).
fof(f546,plain,
( sk0_24 = pv5
| gt(pv5,sk0_24) ),
inference(resolution,[status(thm)],[f114,f288]) ).
fof(f547,plain,
( spl0_1
| spl0_15 ),
inference(split_clause,[status(thm)],[f546,f368,f543]) ).
fof(f561,plain,
( spl0_19
<=> n0 = n2 ),
introduced(split_symbol_definition) ).
fof(f562,plain,
( n0 = n2
| ~ spl0_19 ),
inference(component_clause,[status(thm)],[f561]) ).
fof(f582,plain,
( spl0_24
<=> n0 = pv5 ),
introduced(split_symbol_definition) ).
fof(f583,plain,
( n0 = pv5
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f582]) ).
fof(f599,plain,
pred(n1) = n0,
inference(paramodulation,[status(thm)],[f335,f218]) ).
fof(f618,plain,
geq(n2,n0),
inference(resolution,[status(thm)],[f110,f464]) ).
fof(f638,plain,
( gt(n0,n0)
| ~ spl0_24 ),
inference(backward_demodulation,[status(thm)],[f583,f282]) ).
fof(f639,plain,
( $false
| ~ spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f638,f98]) ).
fof(f640,plain,
~ spl0_24,
inference(contradiction_clause,[status(thm)],[f639]) ).
fof(f657,plain,
( gt(n0,n0)
| ~ spl0_19 ),
inference(backward_demodulation,[status(thm)],[f562,f307]) ).
fof(f658,plain,
( $false
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f657,f98]) ).
fof(f659,plain,
~ spl0_19,
inference(contradiction_clause,[status(thm)],[f658]) ).
fof(f668,plain,
( spl0_26
<=> n1 = n2 ),
introduced(split_symbol_definition) ).
fof(f669,plain,
( n1 = n2
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f682,plain,
( spl0_28
<=> n0 = n1 ),
introduced(split_symbol_definition) ).
fof(f683,plain,
( n0 = n1
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f682]) ).
fof(f704,plain,
( gt(n0,n0)
| ~ spl0_28 ),
inference(backward_demodulation,[status(thm)],[f683,f306]) ).
fof(f705,plain,
( $false
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f704,f98]) ).
fof(f706,plain,
~ spl0_28,
inference(contradiction_clause,[status(thm)],[f705]) ).
fof(f783,plain,
gt(n4,n1),
inference(resolution,[status(thm)],[f492,f105]) ).
fof(f796,plain,
gt(n5,n1),
inference(resolution,[status(thm)],[f494,f105]) ).
fof(f846,plain,
( spl0_38
<=> tptp_minus_1 = n2 ),
introduced(split_symbol_definition) ).
fof(f847,plain,
( tptp_minus_1 = n2
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f890,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f437,f99]) ).
fof(f891,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f890]) ).
fof(f963,plain,
( ~ gt(pv5,sk0_24)
| spl0_14 ),
inference(resolution,[status(thm)],[f481,f118]) ).
fof(f964,plain,
leq(n0,n2),
inference(resolution,[status(thm)],[f618,f109]) ).
fof(f985,plain,
( spl0_46
<=> n2 = n4 ),
introduced(split_symbol_definition) ).
fof(f986,plain,
( n2 = n4
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f985]) ).
fof(f995,plain,
( spl0_48
<=> n1 = n4 ),
introduced(split_symbol_definition) ).
fof(f996,plain,
( n1 = n4
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f995]) ).
fof(f1005,plain,
( spl0_50
<=> n0 = n4 ),
introduced(split_symbol_definition) ).
fof(f1006,plain,
( n0 = n4
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f1005]) ).
fof(f1025,plain,
( spl0_54
<=> n2 = n998 ),
introduced(split_symbol_definition) ).
fof(f1026,plain,
( n2 = n998
| ~ spl0_54 ),
inference(component_clause,[status(thm)],[f1025]) ).
fof(f1035,plain,
( spl0_56
<=> n1 = n998 ),
introduced(split_symbol_definition) ).
fof(f1036,plain,
( n1 = n998
| ~ spl0_56 ),
inference(component_clause,[status(thm)],[f1035]) ).
fof(f1089,plain,
( spl0_67
<=> leq(n4,n4) ),
introduced(split_symbol_definition) ).
fof(f1091,plain,
( ~ leq(n4,n4)
| spl0_67 ),
inference(component_clause,[status(thm)],[f1089]) ).
fof(f1113,plain,
( spl0_73
<=> leq(n0,n4) ),
introduced(split_symbol_definition) ).
fof(f1115,plain,
( ~ leq(n0,n4)
| spl0_73 ),
inference(component_clause,[status(thm)],[f1113]) ).
fof(f1121,plain,
( $false
| spl0_73 ),
inference(forward_subsumption_resolution,[status(thm)],[f1115,f526]) ).
fof(f1122,plain,
spl0_73,
inference(contradiction_clause,[status(thm)],[f1121]) ).
fof(f1123,plain,
( $false
| spl0_67 ),
inference(forward_subsumption_resolution,[status(thm)],[f1091,f99]) ).
fof(f1124,plain,
spl0_67,
inference(contradiction_clause,[status(thm)],[f1123]) ).
fof(f1143,plain,
( spl0_78
<=> n1 = n5 ),
introduced(split_symbol_definition) ).
fof(f1144,plain,
( n1 = n5
| ~ spl0_78 ),
inference(component_clause,[status(thm)],[f1143]) ).
fof(f1219,plain,
( spl0_94
<=> leq(n1,n4) ),
introduced(split_symbol_definition) ).
fof(f1221,plain,
( ~ leq(n1,n4)
| spl0_94 ),
inference(component_clause,[status(thm)],[f1219]) ).
fof(f1231,plain,
( $false
| spl0_94 ),
inference(forward_subsumption_resolution,[status(thm)],[f1221,f525]) ).
fof(f1232,plain,
spl0_94,
inference(contradiction_clause,[status(thm)],[f1231]) ).
fof(f1384,plain,
succ(n0) = n1,
inference(paramodulation,[status(thm)],[f599,f219]) ).
fof(f1410,plain,
( gt(n1,n1)
| ~ spl0_26 ),
inference(forward_demodulation,[status(thm)],[f669,f312]) ).
fof(f1411,plain,
( $false
| ~ spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f1410,f98]) ).
fof(f1412,plain,
~ spl0_26,
inference(contradiction_clause,[status(thm)],[f1411]) ).
fof(f1447,plain,
( spl0_105
<=> succ(n0) = tptp_minus_1 ),
introduced(split_symbol_definition) ).
fof(f1448,plain,
( succ(n0) = tptp_minus_1
| ~ spl0_105 ),
inference(component_clause,[status(thm)],[f1447]) ).
fof(f1474,plain,
gt(n2,tptp_minus_1),
inference(resolution,[status(thm)],[f411,f105]) ).
fof(f1482,plain,
gt(n1,tptp_minus_1),
inference(resolution,[status(thm)],[f413,f105]) ).
fof(f1725,plain,
gt(n998,n2),
inference(resolution,[status(thm)],[f506,f105]) ).
fof(f1779,plain,
( gt(n1,n1)
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f996,f783]) ).
fof(f1780,plain,
( $false
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f1779,f98]) ).
fof(f1781,plain,
~ spl0_48,
inference(contradiction_clause,[status(thm)],[f1780]) ).
fof(f1785,plain,
( gt(n1,n1)
| ~ spl0_78 ),
inference(backward_demodulation,[status(thm)],[f1144,f796]) ).
fof(f1786,plain,
( $false
| ~ spl0_78 ),
inference(forward_subsumption_resolution,[status(thm)],[f1785,f98]) ).
fof(f1787,plain,
~ spl0_78,
inference(contradiction_clause,[status(thm)],[f1786]) ).
fof(f1802,plain,
( gt(n1,n1)
| ~ spl0_56 ),
inference(backward_demodulation,[status(thm)],[f1036,f311]) ).
fof(f1803,plain,
( $false
| ~ spl0_56 ),
inference(forward_subsumption_resolution,[status(thm)],[f1802,f98]) ).
fof(f1804,plain,
~ spl0_56,
inference(contradiction_clause,[status(thm)],[f1803]) ).
fof(f1862,plain,
( ~ leq(sk0_23,n2)
| sk0_23 = n0
| sk0_23 = n1
| sk0_23 = n2 ),
inference(resolution,[status(thm)],[f285,f330]) ).
fof(f1863,plain,
( ~ spl0_13
| spl0_0
| spl0_2
| spl0_3 ),
inference(split_clause,[status(thm)],[f1862,f476,f365,f372,f376]) ).
fof(f1908,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f434,f964]) ).
fof(f1909,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f1908]) ).
fof(f1940,plain,
( spl0_136
<=> leq(n3,n3) ),
introduced(split_symbol_definition) ).
fof(f1942,plain,
( ~ leq(n3,n3)
| spl0_136 ),
inference(component_clause,[status(thm)],[f1940]) ).
fof(f1963,plain,
( spl0_141
<=> leq(n2,n3) ),
introduced(split_symbol_definition) ).
fof(f1965,plain,
( ~ leq(n2,n3)
| spl0_141 ),
inference(component_clause,[status(thm)],[f1963]) ).
fof(f1976,plain,
( spl0_143
<=> leq(n0,n3) ),
introduced(split_symbol_definition) ).
fof(f1978,plain,
( ~ leq(n0,n3)
| spl0_143 ),
inference(component_clause,[status(thm)],[f1976]) ).
fof(f1981,plain,
( $false
| spl0_143 ),
inference(forward_subsumption_resolution,[status(thm)],[f1978,f512]) ).
fof(f1982,plain,
spl0_143,
inference(contradiction_clause,[status(thm)],[f1981]) ).
fof(f1983,plain,
( $false
| spl0_141 ),
inference(forward_subsumption_resolution,[status(thm)],[f1965,f510]) ).
fof(f1984,plain,
spl0_141,
inference(contradiction_clause,[status(thm)],[f1983]) ).
fof(f1985,plain,
( $false
| spl0_136 ),
inference(forward_subsumption_resolution,[status(thm)],[f1942,f99]) ).
fof(f1986,plain,
spl0_136,
inference(contradiction_clause,[status(thm)],[f1985]) ).
fof(f2258,plain,
( spl0_144
<=> leq(n1,n1) ),
introduced(split_symbol_definition) ).
fof(f2260,plain,
( ~ leq(n1,n1)
| spl0_144 ),
inference(component_clause,[status(thm)],[f2258]) ).
fof(f2272,plain,
( $false
| spl0_144 ),
inference(forward_subsumption_resolution,[status(thm)],[f2260,f99]) ).
fof(f2273,plain,
spl0_144,
inference(contradiction_clause,[status(thm)],[f2272]) ).
fof(f2502,plain,
( gt(n0,n0)
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f1006,f303]) ).
fof(f2503,plain,
( $false
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f2502,f98]) ).
fof(f2504,plain,
~ spl0_50,
inference(contradiction_clause,[status(thm)],[f2503]) ).
fof(f2749,plain,
( gt(n2,n2)
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f986,f314]) ).
fof(f2750,plain,
( $false
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f2749,f98]) ).
fof(f2751,plain,
~ spl0_46,
inference(contradiction_clause,[status(thm)],[f2750]) ).
fof(f3024,plain,
( n1 = tptp_minus_1
| ~ spl0_105 ),
inference(forward_demodulation,[status(thm)],[f1384,f1448]) ).
fof(f3144,plain,
( gt(tptp_minus_1,tptp_minus_1)
| ~ spl0_105 ),
inference(backward_demodulation,[status(thm)],[f3024,f1482]) ).
fof(f3145,plain,
( $false
| ~ spl0_105 ),
inference(forward_subsumption_resolution,[status(thm)],[f3144,f98]) ).
fof(f3146,plain,
~ spl0_105,
inference(contradiction_clause,[status(thm)],[f3145]) ).
fof(f3365,plain,
( gt(n2,n2)
| ~ spl0_54 ),
inference(backward_demodulation,[status(thm)],[f1026,f1725]) ).
fof(f3366,plain,
( $false
| ~ spl0_54 ),
inference(forward_subsumption_resolution,[status(thm)],[f3365,f98]) ).
fof(f3367,plain,
~ spl0_54,
inference(contradiction_clause,[status(thm)],[f3366]) ).
fof(f3380,plain,
( gt(tptp_minus_1,tptp_minus_1)
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f847,f1474]) ).
fof(f3381,plain,
( $false
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f3380,f98]) ).
fof(f3382,plain,
~ spl0_38,
inference(contradiction_clause,[status(thm)],[f3381]) ).
fof(f3393,plain,
( ~ gt(pv5,n0)
| spl0_7 ),
inference(resolution,[status(thm)],[f443,f118]) ).
fof(f3394,plain,
( $false
| spl0_7 ),
inference(forward_subsumption_resolution,[status(thm)],[f3393,f282]) ).
fof(f3395,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f3394]) ).
fof(f3523,plain,
( $false
| ~ spl0_15
| spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f963,f544]) ).
fof(f3524,plain,
( ~ spl0_15
| spl0_14 ),
inference(contradiction_clause,[status(thm)],[f3523]) ).
fof(f3525,plain,
$false,
inference(sat_refutation,[status(thm)],[f371,f375,f379,f483,f485,f487,f489,f516,f521,f547,f640,f659,f706,f891,f1122,f1124,f1232,f1412,f1781,f1787,f1804,f1863,f1909,f1982,f1984,f1986,f2273,f2504,f2751,f3146,f3367,f3382,f3395,f3524]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV203+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n002.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 11:52:28 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.14/0.31 % Drodi V3.5.1
% 0.14/0.42 % Refutation found
% 0.14/0.42 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.44 % Elapsed time: 0.137218 seconds
% 0.14/0.44 % CPU time: 0.409005 seconds
% 0.14/0.44 % Memory used: 38.411 MB
%------------------------------------------------------------------------------