%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT345+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 : Tue Sep 29 11:47:08 AM UTC 2026
% Result : Theorem 5.25s 2.50s
% Output : Refutation 9.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 10
% Syntax : Number of formulae : 127 ( 23 unt; 3 def)
% Number of atoms : 546 ( 112 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 722 ( 303 ~; 330 |; 71 &)
% ( 6 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 120 ( 0 sgn 116 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5460,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ( ~ v3_conlat_1(k7_conlat_2(X0))
& v4_conlat_1(k7_conlat_2(X0))
& l2_conlat_1(k7_conlat_2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_conlat_2) ).
fof(f5461,axiom,
! [X0,X1] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0)
& l3_conlat_1(X1,X0) )
=> ( v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
& l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_conlat_2) ).
fof(f5462,axiom,
! [X0,X1] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) )
=> ( v6_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& ~ v7_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& v9_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& l3_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_conlat_2) ).
fof(f5463,axiom,
! [X0,X1] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) )
=> k9_conlat_2(X0,X1) = k8_conlat_2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_conlat_2) ).
fof(f5493,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& v4_conlat_1(X0)
& l2_conlat_1(X0) )
=> k7_conlat_2(k7_conlat_2(X0)) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_conlat_2) ).
fof(f5496,axiom,
! [X0] :
( ( ~ v3_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( l3_conlat_1(X1,X0)
=> ! [X2] :
( ( v6_conlat_1(X2,k7_conlat_2(X0))
& l3_conlat_1(X2,k7_conlat_2(X0)) )
=> ( X2 = k8_conlat_2(X0,X1)
<=> ( u4_conlat_1(k7_conlat_2(X0),X2) = u5_conlat_1(X0,X1)
& u5_conlat_1(k7_conlat_2(X0),X2) = u4_conlat_1(X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_conlat_2) ).
fof(f5497,conjecture,
! [X0] :
( ( ~ v3_conlat_1(X0)
& v4_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( ( v6_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) )
=> k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_conlat_2) ).
fof(f5498,negated_conjecture,
~ ! [X0] :
( ( ~ v3_conlat_1(X0)
& v4_conlat_1(X0)
& l2_conlat_1(X0) )
=> ! [X1] :
( ( v6_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) )
=> k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) = X1 ) ),
inference(negated_conjecture,[status(cth)],[f5497]) ).
fof(f5505,plain,
? [X0] :
( ? [X1] :
( k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) != X1
& v6_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) )
& ~ v3_conlat_1(X0)
& v4_conlat_1(X0)
& l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f5498]) ).
fof(f5506,plain,
? [X0] :
( ? [X1] :
( k9_conlat_2(k7_conlat_2(X0),k9_conlat_2(X0,X1)) != X1
& v6_conlat_1(X1,X0)
& ~ v7_conlat_1(X1,X0)
& v9_conlat_1(X1,X0)
& l3_conlat_1(X1,X0) )
& ~ v3_conlat_1(X0)
& v4_conlat_1(X0)
& l2_conlat_1(X0) ),
inference(flattening,[],[f5505]) ).
fof(f5507,plain,
! [X0] :
( k7_conlat_2(k7_conlat_2(X0)) = X0
| v3_conlat_1(X0)
| ~ v4_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f5493]) ).
fof(f5508,plain,
! [X0] :
( k7_conlat_2(k7_conlat_2(X0)) = X0
| v3_conlat_1(X0)
| ~ v4_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f5507]) ).
fof(f5509,plain,
! [X0] :
( ( ~ v3_conlat_1(k7_conlat_2(X0))
& v4_conlat_1(k7_conlat_2(X0))
& l2_conlat_1(k7_conlat_2(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f5460]) ).
fof(f5510,plain,
! [X0] :
( ( ~ v3_conlat_1(k7_conlat_2(X0))
& v4_conlat_1(k7_conlat_2(X0))
& l2_conlat_1(k7_conlat_2(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f5509]) ).
fof(f5517,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k8_conlat_2(X0,X1)
<=> ( u4_conlat_1(k7_conlat_2(X0),X2) = u5_conlat_1(X0,X1)
& u5_conlat_1(k7_conlat_2(X0),X2) = u4_conlat_1(X0,X1) ) )
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X2,k7_conlat_2(X0)) )
| ~ l3_conlat_1(X1,X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(ennf_transformation,[],[f5496]) ).
fof(f5518,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k8_conlat_2(X0,X1)
<=> ( u4_conlat_1(k7_conlat_2(X0),X2) = u5_conlat_1(X0,X1)
& u5_conlat_1(k7_conlat_2(X0),X2) = u4_conlat_1(X0,X1) ) )
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X2,k7_conlat_2(X0)) )
| ~ l3_conlat_1(X1,X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f5517]) ).
fof(f5521,plain,
! [X0,X1] :
( ( v6_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& ~ v7_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& v9_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& l3_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(ennf_transformation,[],[f5462]) ).
fof(f5522,plain,
! [X0,X1] :
( ( v6_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& ~ v7_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& v9_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
& l3_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(flattening,[],[f5521]) ).
fof(f5523,plain,
! [X0,X1] :
( ( v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
& l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ l3_conlat_1(X1,X0) ),
inference(ennf_transformation,[],[f5461]) ).
fof(f5524,plain,
! [X0,X1] :
( ( v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
& l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0)) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ l3_conlat_1(X1,X0) ),
inference(flattening,[],[f5523]) ).
fof(f5525,plain,
! [X0,X1] :
( k9_conlat_2(X0,X1) = k8_conlat_2(X0,X1)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(ennf_transformation,[],[f5463]) ).
fof(f5526,plain,
! [X0,X1] :
( k9_conlat_2(X0,X1) = k8_conlat_2(X0,X1)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(flattening,[],[f5525]) ).
fof(f5527,plain,
( sK1 != k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1))
& v6_conlat_1(sK1,sK0)
& ~ v7_conlat_1(sK1,sK0)
& v9_conlat_1(sK1,sK0)
& l3_conlat_1(sK1,sK0)
& ~ v3_conlat_1(sK0)
& v4_conlat_1(sK0)
& l2_conlat_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f5506]) ).
fof(f5534,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k8_conlat_2(X0,X1)
| u5_conlat_1(X0,X1) != u4_conlat_1(k7_conlat_2(X0),X2)
| u4_conlat_1(X0,X1) != u5_conlat_1(k7_conlat_2(X0),X2) )
& ( ( u4_conlat_1(k7_conlat_2(X0),X2) = u5_conlat_1(X0,X1)
& u5_conlat_1(k7_conlat_2(X0),X2) = u4_conlat_1(X0,X1) )
| k8_conlat_2(X0,X1) != X2 ) )
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X2,k7_conlat_2(X0)) )
| ~ l3_conlat_1(X1,X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(nnf_transformation,[],[f5518]) ).
fof(f5535,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k8_conlat_2(X0,X1)
| u5_conlat_1(X0,X1) != u4_conlat_1(k7_conlat_2(X0),X2)
| u4_conlat_1(X0,X1) != u5_conlat_1(k7_conlat_2(X0),X2) )
& ( ( u4_conlat_1(k7_conlat_2(X0),X2) = u5_conlat_1(X0,X1)
& u5_conlat_1(k7_conlat_2(X0),X2) = u4_conlat_1(X0,X1) )
| k8_conlat_2(X0,X1) != X2 ) )
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X2,k7_conlat_2(X0)) )
| ~ l3_conlat_1(X1,X0) )
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(flattening,[],[f5534]) ).
fof(f5536,plain,
l2_conlat_1(sK0),
inference(cnf_transformation,[],[f5527]) ).
fof(f5537,plain,
v4_conlat_1(sK0),
inference(cnf_transformation,[],[f5527]) ).
fof(f5538,plain,
~ v3_conlat_1(sK0),
inference(cnf_transformation,[],[f5527]) ).
fof(f5539,plain,
l3_conlat_1(sK1,sK0),
inference(cnf_transformation,[],[f5527]) ).
fof(f5540,plain,
v9_conlat_1(sK1,sK0),
inference(cnf_transformation,[],[f5527]) ).
fof(f5541,plain,
~ v7_conlat_1(sK1,sK0),
inference(cnf_transformation,[],[f5527]) ).
fof(f5542,plain,
v6_conlat_1(sK1,sK0),
inference(cnf_transformation,[],[f5527]) ).
fof(f5543,plain,
sK1 != k9_conlat_2(k7_conlat_2(sK0),k9_conlat_2(sK0,sK1)),
inference(cnf_transformation,[],[f5527]) ).
fof(f5545,plain,
! [X0] :
( v3_conlat_1(X0)
| k7_conlat_2(k7_conlat_2(X0)) = X0
| ~ v4_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f5508]) ).
fof(f5546,plain,
! [X0] :
( l2_conlat_1(k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f5510]) ).
fof(f5548,plain,
! [X0] :
( ~ v3_conlat_1(k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f5510]) ).
fof(f5564,plain,
! [X2,X0,X1] :
( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),X2)
| k8_conlat_2(X0,X1) != X2
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f5535]) ).
fof(f5565,plain,
! [X2,X0,X1] :
( u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),X2)
| k8_conlat_2(X0,X1) != X2
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f5535]) ).
fof(f5566,plain,
! [X2,X0,X1] :
( u5_conlat_1(X0,X1) != u4_conlat_1(k7_conlat_2(X0),X2)
| k8_conlat_2(X0,X1) = X2
| u4_conlat_1(X0,X1) != u5_conlat_1(k7_conlat_2(X0),X2)
| ~ v6_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X2,k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(cnf_transformation,[],[f5535]) ).
fof(f5569,plain,
! [X0,X1] :
( v9_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(cnf_transformation,[],[f5522]) ).
fof(f5570,plain,
! [X0,X1] :
( ~ v7_conlat_1(k9_conlat_2(X0,X1),k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(cnf_transformation,[],[f5522]) ).
fof(f5572,plain,
! [X0,X1] :
( l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ l3_conlat_1(X1,X0) ),
inference(cnf_transformation,[],[f5524]) ).
fof(f5573,plain,
! [X0,X1] :
( v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0)
| ~ l3_conlat_1(X1,X0) ),
inference(cnf_transformation,[],[f5524]) ).
fof(f5574,plain,
! [X0,X1] :
( v3_conlat_1(X0)
| k8_conlat_2(X0,X1) = k9_conlat_2(X0,X1)
| ~ l2_conlat_1(X0)
| v7_conlat_1(X1,X0)
| ~ v9_conlat_1(X1,X0)
| ~ l3_conlat_1(X1,X0) ),
inference(cnf_transformation,[],[f5526]) ).
fof(f5575,plain,
! [X0,X1] :
( u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1))
| ~ v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(equality_resolution,[],[f5565]) ).
fof(f5576,plain,
! [X0,X1] :
( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1))
| ~ v6_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(equality_resolution,[],[f5564]) ).
fof(f5577,plain,
! [X0,X1] :
( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1))
| ~ l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f5576,f5573]) ).
fof(f5578,plain,
! [X0,X1] :
( u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1))
| ~ l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f5575,f5573]) ).
fof(f5579,plain,
! [X0,X1] :
( u4_conlat_1(X0,X1) = u5_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f5577,f5572]) ).
fof(f5580,plain,
! [X0,X1] :
( u5_conlat_1(X0,X1) = u4_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f5578,f5572]) ).
fof(f5581,plain,
( sK0 = k7_conlat_2(k7_conlat_2(sK0))
| ~ v4_conlat_1(sK0)
| ~ l2_conlat_1(sK0) ),
inference(resolution,[],[f5545,f5538]) ).
fof(f5586,plain,
( sK0 = k7_conlat_2(k7_conlat_2(sK0))
| ~ l2_conlat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f5581,f5537]) ).
fof(f5589,plain,
sK0 = k7_conlat_2(k7_conlat_2(sK0)),
inference(forward_subsumption_resolution,[],[f5586,f5536]) ).
fof(f5595,definition,
( spl8_1
<=> l2_conlat_1(k7_conlat_2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f5596,plain,
( l2_conlat_1(k7_conlat_2(sK0))
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f5595]) ).
fof(f5597,plain,
( ~ l2_conlat_1(k7_conlat_2(sK0))
| spl8_1 ),
inference(avatar_component_clause,[],[f5595]) ).
fof(f5599,definition,
( spl8_2
<=> v3_conlat_1(k7_conlat_2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f5600,plain,
( ~ v3_conlat_1(k7_conlat_2(sK0))
| spl8_2 ),
inference(avatar_component_clause,[],[f5599]) ).
fof(f5601,plain,
( v3_conlat_1(k7_conlat_2(sK0))
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f5599]) ).
fof(f5606,plain,
( v3_conlat_1(sK0)
| ~ l2_conlat_1(sK0)
| spl8_1 ),
inference(resolution,[],[f5597,f5546]) ).
fof(f5607,plain,
( ~ l2_conlat_1(sK0)
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f5606,f5538]) ).
fof(f5608,plain,
( $false
| spl8_1 ),
inference(forward_subsumption_resolution,[],[f5607,f5536]) ).
fof(f5609,plain,
spl8_1,
inference(avatar_contradiction_clause,[],[f5608]) ).
fof(f5617,plain,
( v3_conlat_1(sK0)
| ~ l2_conlat_1(sK0)
| ~ spl8_2 ),
inference(resolution,[],[f5601,f5548]) ).
fof(f5618,plain,
( ~ l2_conlat_1(sK0)
| ~ spl8_2 ),
inference(forward_subsumption_resolution,[],[f5617,f5538]) ).
fof(f5619,plain,
( $false
| ~ spl8_2 ),
inference(forward_subsumption_resolution,[],[f5618,f5536]) ).
fof(f5620,plain,
~ spl8_2,
inference(avatar_contradiction_clause,[],[f5619]) ).
fof(f5640,plain,
! [X0] :
( k8_conlat_2(sK0,X0) = k9_conlat_2(sK0,X0)
| ~ l2_conlat_1(sK0)
| v7_conlat_1(X0,sK0)
| ~ v9_conlat_1(X0,sK0)
| ~ l3_conlat_1(X0,sK0) ),
inference(resolution,[],[f5574,f5538]) ).
fof(f5643,plain,
( ! [X0] :
( k8_conlat_2(k7_conlat_2(sK0),X0) = k9_conlat_2(k7_conlat_2(sK0),X0)
| ~ l2_conlat_1(k7_conlat_2(sK0))
| v7_conlat_1(X0,k7_conlat_2(sK0))
| ~ v9_conlat_1(X0,k7_conlat_2(sK0))
| ~ l3_conlat_1(X0,k7_conlat_2(sK0)) )
| spl8_2 ),
inference(resolution,[],[f5574,f5600]) ).
fof(f5644,plain,
( ! [X0] :
( ~ l3_conlat_1(X0,k7_conlat_2(sK0))
| v7_conlat_1(X0,k7_conlat_2(sK0))
| ~ v9_conlat_1(X0,k7_conlat_2(sK0))
| k8_conlat_2(k7_conlat_2(sK0),X0) = k9_conlat_2(k7_conlat_2(sK0),X0) )
| ~ spl8_1
| spl8_2 ),
inference(forward_subsumption_resolution,[],[f5643,f5596]) ).
fof(f5647,plain,
! [X0] :
( ~ v9_conlat_1(X0,sK0)
| v7_conlat_1(X0,sK0)
| k8_conlat_2(sK0,X0) = k9_conlat_2(sK0,X0)
| ~ l3_conlat_1(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f5640,f5536]) ).
fof(f5648,plain,
( v7_conlat_1(sK1,sK0)
| k9_conlat_2(sK0,sK1) = k8_conlat_2(sK0,sK1)
| ~ l3_conlat_1(sK1,sK0) ),
inference(resolution,[],[f5647,f5540]) ).
fof(f5653,plain,
( k9_conlat_2(sK0,sK1) = k8_conlat_2(sK0,sK1)
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f5648,f5541]) ).
fof(f5656,plain,
k9_conlat_2(sK0,sK1) = k8_conlat_2(sK0,sK1),
inference(forward_subsumption_resolution,[],[f5653,f5539]) ).
fof(f5661,plain,
! [X2,X0,X1] :
( u4_conlat_1(X0,X1) != u4_conlat_1(k7_conlat_2(k7_conlat_2(X0)),X2)
| k8_conlat_2(k7_conlat_2(X0),k8_conlat_2(X0,X1)) = X2
| u4_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1)) != u5_conlat_1(k7_conlat_2(k7_conlat_2(X0)),X2)
| ~ v6_conlat_1(X2,k7_conlat_2(k7_conlat_2(X0)))
| ~ l3_conlat_1(X2,k7_conlat_2(k7_conlat_2(X0)))
| ~ l3_conlat_1(k8_conlat_2(X0,X1),k7_conlat_2(X0))
| v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(superposition,[],[f5566,f5579]) ).
fof(f5669,plain,
! [X2,X0,X1] :
( u4_conlat_1(X0,X1) != u4_conlat_1(k7_conlat_2(k7_conlat_2(X0)),X2)
| k8_conlat_2(k7_conlat_2(X0),k8_conlat_2(X0,X1)) = X2
| u4_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1)) != u5_conlat_1(k7_conlat_2(k7_conlat_2(X0)),X2)
| ~ v6_conlat_1(X2,k7_conlat_2(k7_conlat_2(X0)))
| ~ l3_conlat_1(X2,k7_conlat_2(k7_conlat_2(X0)))
| v3_conlat_1(k7_conlat_2(X0))
| ~ l2_conlat_1(k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f5661,f5572]) ).
fof(f5673,plain,
! [X2,X0,X1] :
( u4_conlat_1(X0,X1) != u4_conlat_1(k7_conlat_2(k7_conlat_2(X0)),X2)
| k8_conlat_2(k7_conlat_2(X0),k8_conlat_2(X0,X1)) = X2
| u4_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1)) != u5_conlat_1(k7_conlat_2(k7_conlat_2(X0)),X2)
| ~ v6_conlat_1(X2,k7_conlat_2(k7_conlat_2(X0)))
| ~ l3_conlat_1(X2,k7_conlat_2(k7_conlat_2(X0)))
| ~ l2_conlat_1(k7_conlat_2(X0))
| ~ l3_conlat_1(X1,X0)
| v3_conlat_1(X0)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f5669,f5548]) ).
fof(f5675,plain,
! [X2,X0,X1] :
( v3_conlat_1(X0)
| k8_conlat_2(k7_conlat_2(X0),k8_conlat_2(X0,X1)) = X2
| u4_conlat_1(k7_conlat_2(X0),k8_conlat_2(X0,X1)) != u5_conlat_1(k7_conlat_2(k7_conlat_2(X0)),X2)
| ~ v6_conlat_1(X2,k7_conlat_2(k7_conlat_2(X0)))
| ~ l3_conlat_1(X2,k7_conlat_2(k7_conlat_2(X0)))
| ~ l3_conlat_1(X1,X0)
| u4_conlat_1(X0,X1) != u4_conlat_1(k7_conlat_2(k7_conlat_2(X0)),X2)
| ~ l2_conlat_1(X0) ),
inference(forward_subsumption_resolution,[],[f5673,f5546]) ).
fof(f5676,plain,
sK1 != k9_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)),
inference(superposition,[],[f5543,f5656]) ).
fof(f5678,plain,
( ~ v7_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| v3_conlat_1(sK0)
| ~ l2_conlat_1(sK0)
| v7_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(superposition,[],[f5570,f5656]) ).
fof(f5679,plain,
( v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| v3_conlat_1(sK0)
| ~ l2_conlat_1(sK0)
| v7_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(superposition,[],[f5569,f5656]) ).
fof(f5681,plain,
( v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ l2_conlat_1(sK0)
| v7_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f5679,f5538]) ).
fof(f5682,plain,
( ~ v7_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ l2_conlat_1(sK0)
| v7_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f5678,f5538]) ).
fof(f5683,plain,
( v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| v7_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f5681,f5536]) ).
fof(f5684,plain,
( ~ v7_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| v7_conlat_1(sK1,sK0)
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f5682,f5536]) ).
fof(f5685,plain,
( v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f5683,f5541]) ).
fof(f5686,plain,
( ~ v7_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ v9_conlat_1(sK1,sK0)
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f5684,f5541]) ).
fof(f5687,plain,
( v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f5685,f5540]) ).
fof(f5688,plain,
( ~ v7_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ l3_conlat_1(sK1,sK0) ),
inference(forward_subsumption_resolution,[],[f5686,f5540]) ).
fof(f5689,plain,
v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0)),
inference(forward_subsumption_resolution,[],[f5687,f5539]) ).
fof(f5690,plain,
~ v7_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0)),
inference(forward_subsumption_resolution,[],[f5688,f5539]) ).
fof(f5820,plain,
! [X0,X1] :
( k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X1
| u5_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X1) != u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,X0))
| ~ v6_conlat_1(X1,k7_conlat_2(k7_conlat_2(sK0)))
| ~ l3_conlat_1(X1,k7_conlat_2(k7_conlat_2(sK0)))
| ~ l3_conlat_1(X0,sK0)
| u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X1) != u4_conlat_1(sK0,X0)
| ~ l2_conlat_1(sK0) ),
inference(resolution,[],[f5675,f5538]) ).
fof(f5827,plain,
! [X0,X1] :
( k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X1
| u5_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X1) != u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,X0))
| ~ v6_conlat_1(X1,k7_conlat_2(k7_conlat_2(sK0)))
| ~ l3_conlat_1(X1,k7_conlat_2(k7_conlat_2(sK0)))
| ~ l3_conlat_1(X0,sK0)
| u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X1) != u4_conlat_1(sK0,X0) ),
inference(forward_subsumption_resolution,[],[f5820,f5536]) ).
fof(f5830,plain,
! [X0,X1] :
( u5_conlat_1(sK0,X1) != u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,X0))
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X1
| ~ v6_conlat_1(X1,k7_conlat_2(k7_conlat_2(sK0)))
| ~ l3_conlat_1(X1,k7_conlat_2(k7_conlat_2(sK0)))
| ~ l3_conlat_1(X0,sK0)
| u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X1) != u4_conlat_1(sK0,X0) ),
inference(forward_demodulation,[],[f5827,f5589]) ).
fof(f5833,plain,
! [X0,X1] :
( ~ v6_conlat_1(X1,sK0)
| u5_conlat_1(sK0,X1) != u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,X0))
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X1
| ~ l3_conlat_1(X1,k7_conlat_2(k7_conlat_2(sK0)))
| ~ l3_conlat_1(X0,sK0)
| u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X1) != u4_conlat_1(sK0,X0) ),
inference(forward_demodulation,[],[f5830,f5589]) ).
fof(f5836,plain,
! [X0,X1] :
( ~ l3_conlat_1(X1,sK0)
| ~ v6_conlat_1(X1,sK0)
| u5_conlat_1(sK0,X1) != u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,X0))
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X1
| ~ l3_conlat_1(X0,sK0)
| u4_conlat_1(k7_conlat_2(k7_conlat_2(sK0)),X1) != u4_conlat_1(sK0,X0) ),
inference(forward_demodulation,[],[f5833,f5589]) ).
fof(f5839,plain,
! [X0,X1] :
( u5_conlat_1(sK0,X1) != u4_conlat_1(k7_conlat_2(sK0),k8_conlat_2(sK0,X0))
| ~ l3_conlat_1(X1,sK0)
| ~ v6_conlat_1(X1,sK0)
| u4_conlat_1(sK0,X1) != u4_conlat_1(sK0,X0)
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X1
| ~ l3_conlat_1(X0,sK0) ),
inference(forward_demodulation,[],[f5836,f5589]) ).
fof(f5905,plain,
! [X0,X1] :
( u5_conlat_1(sK0,X1) != u5_conlat_1(sK0,X0)
| ~ l3_conlat_1(X1,sK0)
| ~ v6_conlat_1(X1,sK0)
| u4_conlat_1(sK0,X1) != u4_conlat_1(sK0,X0)
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X1
| ~ l3_conlat_1(X0,sK0)
| ~ l3_conlat_1(X0,sK0)
| v3_conlat_1(sK0)
| ~ l2_conlat_1(sK0) ),
inference(superposition,[],[f5839,f5580]) ).
fof(f5906,plain,
! [X0,X1] :
( u5_conlat_1(sK0,X1) != u5_conlat_1(sK0,X0)
| ~ l3_conlat_1(X1,sK0)
| ~ v6_conlat_1(X1,sK0)
| u4_conlat_1(sK0,X1) != u4_conlat_1(sK0,X0)
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X1
| ~ l3_conlat_1(X0,sK0)
| v3_conlat_1(sK0)
| ~ l2_conlat_1(sK0) ),
inference(duplicate_literal_removal,[],[f5905]) ).
fof(f5907,plain,
! [X0,X1] :
( u5_conlat_1(sK0,X1) != u5_conlat_1(sK0,X0)
| ~ l3_conlat_1(X1,sK0)
| ~ v6_conlat_1(X1,sK0)
| u4_conlat_1(sK0,X1) != u4_conlat_1(sK0,X0)
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X1
| ~ l3_conlat_1(X0,sK0)
| ~ l2_conlat_1(sK0) ),
inference(forward_subsumption_resolution,[],[f5906,f5538]) ).
fof(f5909,plain,
! [X0,X1] :
( u5_conlat_1(sK0,X1) != u5_conlat_1(sK0,X0)
| ~ l3_conlat_1(X1,sK0)
| ~ v6_conlat_1(X1,sK0)
| u4_conlat_1(sK0,X1) != u4_conlat_1(sK0,X0)
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X1
| ~ l3_conlat_1(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f5907,f5536]) ).
fof(f6288,plain,
! [X0] :
( ~ l3_conlat_1(X0,sK0)
| ~ v6_conlat_1(X0,sK0)
| u4_conlat_1(sK0,X0) != u4_conlat_1(sK0,X0)
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X0
| ~ l3_conlat_1(X0,sK0) ),
inference(equality_resolution,[],[f5909]) ).
fof(f6289,plain,
! [X0] :
( ~ l3_conlat_1(X0,sK0)
| ~ v6_conlat_1(X0,sK0)
| u4_conlat_1(sK0,X0) != u4_conlat_1(sK0,X0)
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X0 ),
inference(duplicate_literal_removal,[],[f6288]) ).
fof(f6290,plain,
! [X0] :
( ~ v6_conlat_1(X0,sK0)
| ~ l3_conlat_1(X0,sK0)
| k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,X0)) = X0 ),
inference(trivial_inequality_removal,[],[f6289]) ).
fof(f6330,plain,
( ~ l3_conlat_1(sK1,sK0)
| sK1 = k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)) ),
inference(resolution,[],[f6290,f5542]) ).
fof(f6333,plain,
sK1 = k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)),
inference(forward_subsumption_resolution,[],[f6330,f5539]) ).
fof(f6359,definition,
( spl8_50
<=> l3_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl8_50])],[avatar_definition]) ).
fof(f6360,plain,
( l3_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ spl8_50 ),
inference(avatar_component_clause,[],[f6359]) ).
fof(f6361,plain,
( ~ l3_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| spl8_50 ),
inference(avatar_component_clause,[],[f6359]) ).
fof(f6398,plain,
( v3_conlat_1(sK0)
| ~ l2_conlat_1(sK0)
| ~ l3_conlat_1(sK1,sK0)
| spl8_50 ),
inference(resolution,[],[f6361,f5572]) ).
fof(f6399,plain,
( ~ l2_conlat_1(sK0)
| ~ l3_conlat_1(sK1,sK0)
| spl8_50 ),
inference(forward_subsumption_resolution,[],[f6398,f5538]) ).
fof(f6400,plain,
( ~ l3_conlat_1(sK1,sK0)
| spl8_50 ),
inference(forward_subsumption_resolution,[],[f6399,f5536]) ).
fof(f6401,plain,
( $false
| spl8_50 ),
inference(forward_subsumption_resolution,[],[f6400,f5539]) ).
fof(f6402,plain,
spl8_50,
inference(avatar_contradiction_clause,[],[f6401]) ).
fof(f6408,plain,
( v7_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| ~ v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| k9_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)) = k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1))
| ~ spl8_1
| spl8_2
| ~ spl8_50 ),
inference(resolution,[],[f6360,f5644]) ).
fof(f6409,plain,
( ~ v9_conlat_1(k8_conlat_2(sK0,sK1),k7_conlat_2(sK0))
| k9_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)) = k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1))
| ~ spl8_1
| spl8_2
| ~ spl8_50 ),
inference(forward_subsumption_resolution,[],[f6408,f5690]) ).
fof(f6411,plain,
( k9_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1)) = k8_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1))
| ~ spl8_1
| spl8_2
| ~ spl8_50 ),
inference(forward_subsumption_resolution,[],[f6409,f5689]) ).
fof(f6413,plain,
( sK1 = k9_conlat_2(k7_conlat_2(sK0),k8_conlat_2(sK0,sK1))
| ~ spl8_1
| spl8_2
| ~ spl8_50 ),
inference(forward_demodulation,[],[f6411,f6333]) ).
fof(f6414,plain,
( $false
| ~ spl8_1
| spl8_2
| ~ spl8_50 ),
inference(forward_subsumption_resolution,[],[f6413,f5676]) ).
fof(f6415,plain,
( ~ spl8_1
| spl8_2
| ~ spl8_50 ),
inference(avatar_contradiction_clause,[],[f6414]) ).
cnf(s2,plain,
spl8_1,
inference(sat_conversion,[],[f5609]) ).
cnf(s4,plain,
~ spl8_2,
inference(sat_conversion,[],[f5620]) ).
cnf(s57,plain,
spl8_50,
inference(sat_conversion,[],[f6402]) ).
cnf(s59,plain,
( ~ spl8_1
| spl8_2
| ~ spl8_50 ),
inference(sat_conversion,[],[f6415]) ).
cnf(s87,plain,
~ spl8_1,
inference(rat,[],[s59,s57,s4]) ).
cnf(s88,plain,
$false,
inference(rat,[],[s2,s87]) ).
fof(f6416,plain,
$false,
inference(avatar_sat_refutation,[],[s88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT345+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n008.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 14:52:10 UTC 2026
% 0.15/0.41 % CPUTime :
% 0.15/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.47 Running first-order theorem proving
% 0.15/0.47 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.25/2.50 % (1303997)Detected formulas, will run a generic FOF schedule.
% 5.25/2.50 % (1304007)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=857800402:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 5.25/2.50 % (1304004)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1185275362:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 5.25/2.50 % (1304002)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4082895015:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 5.25/2.50 % (1304003)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=735029682:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 5.25/2.50 % (1304005)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1032263825:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 5.25/2.50 % (1304006)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2908676693:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 5.25/2.50 % (1304005)Refutation not found, incomplete strategy
% 5.25/2.50 % (1304005)------------------------------
% 5.25/2.50 % (1304005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/2.50 % (1304005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/2.50 % (1304005)CaDiCaL version: 2.1.3
% 5.25/2.50 % (1304005)Termination reason: Refutation not found, incomplete strategy
% 5.25/2.50 % (1304005)Time elapsed: 0.026 s
% 5.25/2.50 % (1304005)Peak memory usage: 95 MB
% 5.25/2.50 % (1304005)Instructions burned: 29 (million)
% 5.25/2.50 % (1304007)Instruction limit reached!
% 5.25/2.50 % (1304007)------------------------------
% 5.25/2.50 % (1304007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/2.50 % (1304007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/2.50 % (1304007)CaDiCaL version: 2.1.3
% 5.25/2.50 % (1304007)Termination reason: Instruction limit
% 5.25/2.50 % (1304007)Termination phase: Preprocessing 2
% 5.25/2.50 % (1304007)Time elapsed: 0.111 s
% 5.25/2.50 % (1304007)Peak memory usage: 93 MB
% 5.25/2.50 % (1304007)Instructions burned: 139 (million)
% 5.25/2.50 % (1304008)dis-21_1_sil=8000:lcm=predicate:random_seed=2090410470:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 5.25/2.50 % (1304006)Instruction limit reached!
% 5.25/2.50 % (1304006)------------------------------
% 5.25/2.50 % (1304006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/2.50 % (1304006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/2.50 % (1304006)CaDiCaL version: 2.1.3
% 5.25/2.50 % (1304006)Termination reason: Instruction limit
% 5.25/2.50 % (1304006)Termination phase: Saturation
% 5.25/2.50 % (1304006)Time elapsed: 0.127 s
% 5.25/2.50 % (1304006)Peak memory usage: 95 MB
% 5.25/2.50 % (1304006)Instructions burned: 119 (million)
% 5.25/2.50 % (1304008)Instruction limit reached!
% 5.25/2.50 % (1304008)------------------------------
% 5.25/2.50 % (1304008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/2.50 % (1304008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/2.50 % (1304008)CaDiCaL version: 2.1.3
% 5.25/2.50 % (1304008)Termination reason: Instruction limit
% 5.25/2.50 % (1304008)Termination phase: Preprocessing 3
% 5.25/2.50 % (1304008)Time elapsed: 0.152 s
% 5.25/2.50 % (1304008)Peak memory usage: 96 MB
% 5.25/2.50 % (1304008)Instructions burned: 129 (million)
% 5.25/2.50 % (1304005)------------------------------
% 5.25/2.50 % (1304005)------------------------------
% 5.25/2.50 % (1304016)lrs+10_1_sil=8000:sp=occurrence:random_seed=1774152848:i=285:sd=3:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/285Mi)
% 5.25/2.50 % (1304017)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1312708228:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 5.25/2.50 % (1304018)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3411752597:i=325:sd=1:ss=axioms:sgt=32_2992 on theBenchmark for (2992ds/325Mi)
% 5.25/2.50 % (1304019)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1355307831:s2a=on:i=248:s2at=1.23:gtg=position_2991 on theBenchmark for (2991ds/248Mi)
% 5.25/2.50 % (1304017)Instruction limit reached!
% 5.25/2.50 % (1304017)------------------------------
% 5.25/2.50 % (1304017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/2.50 % (1304017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/2.50 % (1304017)CaDiCaL version: 2.1.3
% 5.25/2.50 % (1304017)Termination reason: Instruction limit
% 5.25/2.50 % (1304017)Termination phase: Saturation
% 5.25/2.50 % (1304017)Time elapsed: 0.147 s
% 5.25/2.50 % (1304017)Peak memory usage: 95 MB
% 5.25/2.50 % (1304017)Instructions burned: 157 (million)
% 5.25/2.50 % (1304018)First to succeed.
% 5.25/2.50 % (1304018)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1303997"
% 5.25/2.50 % (1304016)Instruction limit reached!
% 5.25/2.50 % (1304016)------------------------------
% 5.25/2.50 % (1304016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/2.50 % (1304016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/2.50 % (1304016)CaDiCaL version: 2.1.3
% 5.25/2.50 % (1304016)Termination reason: Instruction limit
% 5.25/2.50 % (1304016)Termination phase: Saturation
% 5.25/2.50 % (1304016)Time elapsed: 0.307 s
% 5.25/2.50 % (1304016)Peak memory usage: 98 MB
% 5.25/2.50 % (1304016)Instructions burned: 286 (million)
% 5.25/2.50 % (1304019)Instruction limit reached!
% 5.25/2.50 % (1304019)------------------------------
% 5.25/2.50 % (1304019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/2.50 % (1304019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/2.50 % (1304019)CaDiCaL version: 2.1.3
% 5.25/2.50 % (1304019)Termination reason: Instruction limit
% 5.25/2.50 % (1304019)Termination phase: Preprocessing 3
% 5.25/2.50 % (1304019)Time elapsed: 0.152 s
% 5.25/2.50 % (1304019)Peak memory usage: 100 MB
% 5.25/2.50 % (1304019)Instructions burned: 249 (million)
% 5.25/2.50 % (1304024)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1359055254:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2989 on theBenchmark for (2989ds/294Mi)
% 5.25/2.50 % (1304025)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1098747029:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 5.25/2.50 % (1304026)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2701403572:cts=off:i=113:fsr=off:ss=included:sgt=4_2988 on theBenchmark for (2988ds/113Mi)
% 5.25/2.50 % (1304024)Refutation not found, incomplete strategy
% 5.25/2.50 % (1304024)------------------------------
% 5.25/2.50 % (1304024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/2.50 % (1304024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/2.50 % (1304024)CaDiCaL version: 2.1.3
% 5.25/2.50 % (1304024)Termination reason: Refutation not found, incomplete strategy
% 5.25/2.50 % (1304024)Time elapsed: 0.096 s
% 5.25/2.50 % (1304024)Peak memory usage: 96 MB
% 5.25/2.50 % (1304024)Instructions burned: 90 (million)
% 5.25/2.50 % (1304018)Refutation found. Thanks to Tanya!
% 5.25/2.50 % SZS status Theorem for theBenchmark
% 5.25/2.50 % SZS output start Proof for theBenchmark
% See solution above
% 9.92/2.89 % (1304018)------------------------------
% 9.92/2.89 % (1304018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.92/2.89 % (1304018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.92/2.89 % (1304018)CaDiCaL version: 2.1.3
% 9.92/2.89 % (1304018)Termination reason: Refutation
% 9.92/2.89 % (1304018)Time elapsed: 0.080 s
% 9.92/2.89 % (1304018)Peak memory usage: 96 MB
% 9.92/2.89 % (1304018)Instructions burned: 64 (million)
% 9.92/2.89 % (1304018)------------------------------
% 9.92/2.89 % (1304018)------------------------------
% 9.92/2.89 % (1303997)Success in time 1.492 s
% 9.92/2.89 % Vampire exiting
%------------------------------------------------------------------------------