%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU446+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 12:49:08 PM UTC 2026
% Result : Theorem 8.63s 2.07s
% Output : Refutation 9.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 29
% Syntax : Number of formulae : 183 ( 34 unt; 10 def)
% Number of atoms : 503 ( 84 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 566 ( 246 ~; 247 |; 42 &)
% ( 13 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 7 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 7 con; 0-5 aty)
% Number of variables : 262 ( 0 sgn 254 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k10_relset_1(X0,X1,X2,X0) = k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X2),X2),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k10_relset_1(X0,X1,X2,X0) = k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X2),X2),X1) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f8,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
fof(f9,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f10,axiom,
! [X0,X1,X2] :
( X2 = k3_xboole_0(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f11,axiom,
! [X0,X1,X2,X3] :
( m1_relset_1(X2,X0,X1)
=> m1_subset_1(k10_relset_1(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k10_relset_1) ).
fof(f24,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f26,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_relset_2) ).
fof(f29,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f55,axiom,
! [X0,X1,X2,X3] :
( m1_relset_1(X2,X0,X1)
=> k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k10_relset_1) ).
fof(f59,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
& m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) )
=> k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_relset_2) ).
fof(f60,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f62,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> r1_tarski(k9_relat_1(X2,k3_xboole_0(X0,X1)),k3_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t154_relat_1) ).
fof(f63,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t156_relat_1) ).
fof(f64,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> k9_relat_1(k5_relat_1(X1,X2),X0) = k9_relat_1(X2,k9_relat_1(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t159_relat_1) ).
fof(f67,axiom,
! [X0] :
( v1_relat_1(X0)
=> ( k1_funct_5(X0) = k1_relat_1(X0)
& k2_funct_5(X0) = k2_relat_1(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_5) ).
fof(f70,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f71,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ! [X3] : k9_relat_1(X2,X3) = k9_relat_1(X2,k3_xboole_0(X3,k1_funct_5(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_relset_2) ).
fof(f73,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> ( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
& k2_funct_5(X2) = k10_relset_1(X1,X0,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_relset_2) ).
fof(f82,plain,
? [X0,X1,X2] :
( k10_relset_1(X0,X1,X2,X0) != k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,k6_relset_1(X0,X1,X2),X2),X1)
& m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f85,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f5]) ).
fof(f88,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f89,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k10_relset_1(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f96,plain,
! [X0,X1,X2] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f97,plain,
! [X0,X1,X2,X3,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(ennf_transformation,[],[f26]) ).
fof(f98,plain,
! [X0,X1,X2,X3,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f120,plain,
! [X0,X1,X2,X3] :
( k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f55]) ).
fof(f125,plain,
! [X0,X1,X2,X3,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(ennf_transformation,[],[f59]) ).
fof(f126,plain,
! [X0,X1,X2,X3,X4] :
( k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(flattening,[],[f125]) ).
fof(f127,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,k3_xboole_0(X0,X1)),k3_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)))
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f62]) ).
fof(f128,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f63]) ).
fof(f129,plain,
! [X0,X1,X2] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0,X1] :
( ! [X2] :
( k9_relat_1(k5_relat_1(X1,X2),X0) = k9_relat_1(X2,k9_relat_1(X1,X0))
| ~ v1_relat_1(X2) )
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f64]) ).
fof(f134,plain,
! [X0] :
( ( k1_funct_5(X0) = k1_relat_1(X0)
& k2_funct_5(X0) = k2_relat_1(X0) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f137,plain,
! [X0,X1,X2] :
( ! [X3] : k9_relat_1(X2,X3) = k9_relat_1(X2,k3_xboole_0(X3,k1_funct_5(X2)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f71]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ( k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0)
& k2_funct_5(X2) = k10_relset_1(X1,X0,X2,X1) )
| ~ m2_relset_1(X2,X1,X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f145,plain,
( k10_relset_1(sK0,sK1,sK2,sK0) != k10_relset_1(sK1,sK1,k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,sK2),sK2),sK1)
& m2_relset_1(sK2,sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f82]) ).
fof(f146,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f147,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f146]) ).
fof(f148,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f88]) ).
fof(f149,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f148]) ).
fof(f150,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK3(X0,X1),X1)
& r2_hidden(sK3(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f149]) ).
fof(f151,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f152,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) )
& ( ( r2_hidden(X3,X0)
& r2_hidden(X3,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f152]) ).
fof(f154,plain,
! [X0,X1,X2] :
( ( X2 = k3_xboole_0(X0,X1)
| ( ( ~ r2_hidden(sK4(X0,X1,X2),X0)
| ~ r2_hidden(sK4(X0,X1,X2),X1)
| ~ r2_hidden(sK4(X0,X1,X2),X2) )
& ( ( r2_hidden(sK4(X0,X1,X2),X0)
& r2_hidden(sK4(X0,X1,X2),X1) )
| r2_hidden(sK4(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1) )
& ( ( r2_hidden(X4,X0)
& r2_hidden(X4,X1) )
| ~ r2_hidden(X4,X2) ) )
| k3_xboole_0(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X3,sK4(X0,X1,X2))],[f153]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f164,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f165,plain,
m2_relset_1(sK2,sK0,sK1),
inference(cnf_transformation,[],[f145]) ).
fof(f166,plain,
k10_relset_1(sK0,sK1,sK2,sK0) != k10_relset_1(sK1,sK1,k9_relset_2(sK1,sK0,sK1,k6_relset_1(sK0,sK1,sK2),sK2),sK1),
inference(cnf_transformation,[],[f145]) ).
fof(f169,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f85]) ).
fof(f174,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f147]) ).
fof(f175,plain,
! [X3,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f176,plain,
! [X0,X1] :
( r2_hidden(sK3(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f177,plain,
! [X0,X1] :
( ~ r2_hidden(sK3(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f150]) ).
fof(f178,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2)
| k3_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f154]) ).
fof(f184,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k10_relset_1(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
fof(f189,plain,
! [X2,X0,X1] :
( m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f96]) ).
fof(f190,plain,
! [X2,X3,X0,X1,X4] :
( m2_relset_1(k9_relset_2(X0,X1,X2,X3,X4),X0,X2)
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(cnf_transformation,[],[f98]) ).
fof(f191,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f99]) ).
fof(f228,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k10_relset_1(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f120]) ).
fof(f232,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
inference(cnf_transformation,[],[f126]) ).
fof(f233,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f163]) ).
fof(f236,plain,
! [X2,X0,X1] :
( r1_tarski(k9_relat_1(X2,k3_xboole_0(X0,X1)),k3_xboole_0(k9_relat_1(X2,X0),k9_relat_1(X2,X1)))
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f127]) ).
fof(f237,plain,
! [X2,X0,X1] :
( r1_tarski(k9_relat_1(X2,X0),k9_relat_1(X2,X1))
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f238,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| k9_relat_1(k5_relat_1(X1,X2),X0) = k9_relat_1(X2,k9_relat_1(X1,X0))
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f130]) ).
fof(f241,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k2_relat_1(X0) = k2_funct_5(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f242,plain,
! [X0] :
( ~ v1_relat_1(X0)
| k1_relat_1(X0) = k1_funct_5(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f245,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f247,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k9_relat_1(X2,X3) = k9_relat_1(X2,k3_xboole_0(X3,k1_funct_5(X2))) ),
inference(cnf_transformation,[],[f137]) ).
fof(f249,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k2_funct_5(X2) = k10_relset_1(X1,X0,X2,X1) ),
inference(cnf_transformation,[],[f140]) ).
fof(f250,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X1,X0)
| k1_funct_5(X2) = k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f259,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k3_xboole_0(X0,X1))
| r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f178]) ).
fof(f260,definition,
sF13 = k10_relset_1(sK0,sK1,sK2,sK0),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f261,plain,
k10_relset_1(sK0,sK1,sK2,sK0) = sF13,
inference(reorient_equations,[],[f260]) ).
fof(f262,definition,
sF14 = k6_relset_1(sK0,sK1,sK2),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f263,plain,
k6_relset_1(sK0,sK1,sK2) = sF14,
inference(reorient_equations,[],[f262]) ).
fof(f264,definition,
sF15 = k9_relset_2(sK1,sK0,sK1,sF14,sK2),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f265,plain,
k9_relset_2(sK1,sK0,sK1,sF14,sK2) = sF15,
inference(reorient_equations,[],[f264]) ).
fof(f266,definition,
sF16 = k10_relset_1(sK1,sK1,sF15,sK1),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f267,plain,
k10_relset_1(sK1,sK1,sF15,sK1) = sF16,
inference(reorient_equations,[],[f266]) ).
fof(f268,plain,
sF13 != sF16,
inference(definition_folding,[],[f166,f267,f265,f263,f261]) ).
fof(f271,plain,
k1_funct_5(sK2) = k10_relset_1(sK1,sK0,k6_relset_1(sK0,sK1,sK2),sK1),
inference(resolution,[],[f250,f165]) ).
fof(f272,plain,
k1_funct_5(sK2) = k10_relset_1(sK1,sK0,sF14,sK1),
inference(forward_demodulation,[],[f271,f263]) ).
fof(f273,plain,
m1_relset_1(sK2,sK0,sK1),
inference(resolution,[],[f233,f165]) ).
fof(f275,plain,
! [X0] : k10_relset_1(sK0,sK1,sK2,X0) = k9_relat_1(sK2,X0),
inference(resolution,[],[f273,f228]) ).
fof(f278,plain,
sF13 = k9_relat_1(sK2,sK0),
inference(superposition,[],[f261,f275]) ).
fof(f285,plain,
( m1_subset_1(k1_funct_5(sK2),k1_zfmisc_1(sK0))
| ~ m1_relset_1(sF14,sK1,sK0) ),
inference(superposition,[],[f184,f272]) ).
fof(f287,definition,
( spl17_1
<=> m1_relset_1(sF14,sK1,sK0) ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
fof(f288,plain,
( m1_relset_1(sF14,sK1,sK0)
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f289,plain,
( ~ m1_relset_1(sF14,sK1,sK0)
| spl17_1 ),
inference(avatar_component_clause,[],[f287]) ).
fof(f291,definition,
( spl17_2
<=> m1_subset_1(k1_funct_5(sK2),k1_zfmisc_1(sK0)) ),
introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).
fof(f293,plain,
( m1_subset_1(k1_funct_5(sK2),k1_zfmisc_1(sK0))
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f291]) ).
fof(f294,plain,
( ~ spl17_1
| spl17_2 ),
inference(avatar_split_clause,[],[f285,f291,f287]) ).
fof(f296,definition,
( spl17_3
<=> m1_relset_1(sF15,sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).
fof(f297,plain,
( m1_relset_1(sF15,sK1,sK1)
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f298,plain,
( ~ m1_relset_1(sF15,sK1,sK1)
| spl17_3 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f310,plain,
( m2_relset_1(sF14,sK1,sK0)
| ~ m1_relset_1(sK2,sK0,sK1) ),
inference(superposition,[],[f189,f263]) ).
fof(f321,plain,
m2_relset_1(sF14,sK1,sK0),
inference(forward_subsumption_resolution,[],[f310,f273]) ).
fof(f322,plain,
m1_relset_1(sF14,sK1,sK0),
inference(resolution,[],[f321,f233]) ).
fof(f324,plain,
k10_relset_1(sK1,sK0,sF14,sK1) = k2_funct_5(sF14),
inference(resolution,[],[f321,f249]) ).
fof(f325,plain,
k1_funct_5(sK2) = k2_funct_5(sF14),
inference(forward_demodulation,[],[f324,f272]) ).
fof(f326,plain,
( $false
| spl17_1 ),
inference(forward_subsumption_resolution,[],[f322,f289]) ).
fof(f327,plain,
spl17_1,
inference(avatar_contradiction_clause,[],[f326]) ).
fof(f330,plain,
( ! [X0] : k10_relset_1(sK1,sK0,sF14,X0) = k9_relat_1(sF14,X0)
| ~ spl17_1 ),
inference(resolution,[],[f288,f228]) ).
fof(f333,plain,
( k1_funct_5(sK2) = k9_relat_1(sF14,sK1)
| ~ spl17_1 ),
inference(superposition,[],[f272,f330]) ).
fof(f341,plain,
( m2_relset_1(sF15,sK1,sK1)
| ~ m1_subset_1(sF14,k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(superposition,[],[f190,f265]) ).
fof(f343,definition,
( spl17_7
<=> m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl17_7])],[avatar_definition]) ).
fof(f344,plain,
( m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ spl17_7 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f345,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| spl17_7 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f347,definition,
( spl17_8
<=> m1_subset_1(sF14,k1_zfmisc_1(k2_zfmisc_1(sK1,sK0))) ),
introduced(definition,[new_symbols(definition,[spl17_8])],[avatar_definition]) ).
fof(f348,plain,
( m1_subset_1(sF14,k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| ~ spl17_8 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f349,plain,
( ~ m1_subset_1(sF14,k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| spl17_8 ),
inference(avatar_component_clause,[],[f347]) ).
fof(f351,definition,
( spl17_9
<=> m2_relset_1(sF15,sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl17_9])],[avatar_definition]) ).
fof(f353,plain,
( m2_relset_1(sF15,sK1,sK1)
| ~ spl17_9 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f354,plain,
( ~ spl17_7
| ~ spl17_8
| spl17_9 ),
inference(avatar_split_clause,[],[f341,f351,f347,f343]) ).
fof(f355,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X4,X1)))
| ~ m2_relset_1(X0,X1,X2)
| k9_relset_2(X4,X1,X2,X3,X0) = k5_relat_1(X3,X0) ),
inference(resolution,[],[f191,f232]) ).
fof(f356,plain,
( ~ m2_relset_1(sK2,sK0,sK1)
| spl17_7 ),
inference(resolution,[],[f191,f345]) ).
fof(f357,plain,
( $false
| spl17_7 ),
inference(forward_subsumption_resolution,[],[f356,f165]) ).
fof(f358,plain,
spl17_7,
inference(avatar_contradiction_clause,[],[f357]) ).
fof(f360,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f169,f191]) ).
fof(f362,plain,
( v1_relat_1(sK2)
| ~ spl17_7 ),
inference(resolution,[],[f169,f344]) ).
fof(f366,plain,
v1_relat_1(sF14),
inference(resolution,[],[f360,f321]) ).
fof(f367,plain,
( ! [X0,X1] :
( ~ v1_relat_1(X0)
| k9_relat_1(k5_relat_1(X0,sK2),X1) = k9_relat_1(sK2,k9_relat_1(X0,X1)) )
| ~ spl17_7 ),
inference(resolution,[],[f362,f238]) ).
fof(f369,plain,
( ~ m2_relset_1(sF14,sK1,sK0)
| spl17_8 ),
inference(resolution,[],[f349,f191]) ).
fof(f370,plain,
( $false
| spl17_8 ),
inference(forward_subsumption_resolution,[],[f369,f321]) ).
fof(f371,plain,
spl17_8,
inference(avatar_contradiction_clause,[],[f370]) ).
fof(f373,plain,
( m1_relset_1(sF15,sK1,sK1)
| ~ spl17_9 ),
inference(resolution,[],[f353,f233]) ).
fof(f377,plain,
( $false
| spl17_3
| ~ spl17_9 ),
inference(forward_subsumption_resolution,[],[f373,f298]) ).
fof(f378,plain,
( spl17_3
| ~ spl17_9 ),
inference(avatar_contradiction_clause,[],[f377]) ).
fof(f382,plain,
( ! [X0] : k10_relset_1(sK1,sK1,sF15,X0) = k9_relat_1(sF15,X0)
| ~ spl17_3 ),
inference(resolution,[],[f297,f228]) ).
fof(f385,plain,
( sF16 = k9_relat_1(sF15,sK1)
| ~ spl17_3 ),
inference(superposition,[],[f267,f382]) ).
fof(f408,plain,
( ! [X0] : k9_relat_1(k5_relat_1(sF14,sK2),X0) = k9_relat_1(sK2,k9_relat_1(sF14,X0))
| ~ spl17_7 ),
inference(resolution,[],[f367,f366]) ).
fof(f435,plain,
( ! [X0] : k9_relat_1(sK2,X0) = k9_relat_1(sK2,k3_xboole_0(X0,k1_funct_5(sK2)))
| ~ spl17_7 ),
inference(resolution,[],[f247,f344]) ).
fof(f486,plain,
! [X0] :
( r1_tarski(k9_relat_1(sK2,k3_xboole_0(sK0,X0)),k3_xboole_0(sF13,k9_relat_1(sK2,X0)))
| ~ v1_relat_1(sK2) ),
inference(superposition,[],[f236,f278]) ).
fof(f511,plain,
( ! [X0] : r1_tarski(k9_relat_1(sK2,k3_xboole_0(sK0,X0)),k3_xboole_0(sF13,k9_relat_1(sK2,X0)))
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f486,f362]) ).
fof(f589,plain,
k2_funct_5(sF14) = k2_relat_1(sF14),
inference(resolution,[],[f241,f366]) ).
fof(f592,plain,
k1_funct_5(sK2) = k2_relat_1(sF14),
inference(forward_demodulation,[],[f589,f325]) ).
fof(f633,plain,
! [X0] :
( r1_tarski(k9_relat_1(sK2,X0),sF13)
| ~ r1_tarski(X0,sK0)
| ~ v1_relat_1(sK2) ),
inference(superposition,[],[f237,f278]) ).
fof(f638,plain,
( ! [X0] :
( r1_tarski(k9_relat_1(sK2,X0),sF13)
| ~ r1_tarski(X0,sK0) )
| ~ spl17_7 ),
inference(forward_subsumption_resolution,[],[f633,f362]) ).
fof(f685,plain,
( k1_funct_5(sK2) = k1_relat_1(sK2)
| ~ spl17_7 ),
inference(resolution,[],[f242,f362]) ).
fof(f689,plain,
( k1_relat_1(sK2) = k2_relat_1(sF14)
| ~ spl17_7 ),
inference(forward_demodulation,[],[f685,f592]) ).
fof(f695,plain,
( r1_tarski(k1_funct_5(sK2),sK0)
| ~ spl17_2 ),
inference(resolution,[],[f245,f293]) ).
fof(f700,plain,
( r1_tarski(k2_relat_1(sF14),sK0)
| ~ spl17_2 ),
inference(forward_demodulation,[],[f695,f592]) ).
fof(f701,plain,
( r1_tarski(k1_relat_1(sK2),sK0)
| ~ spl17_2
| ~ spl17_7 ),
inference(forward_demodulation,[],[f700,f689]) ).
fof(f744,plain,
( ! [X0] : k9_relat_1(sK2,X0) = k9_relat_1(sK2,k3_xboole_0(X0,k2_relat_1(sF14)))
| ~ spl17_7 ),
inference(superposition,[],[f435,f592]) ).
fof(f765,plain,
( ! [X0] : k9_relat_1(sK2,X0) = k9_relat_1(sK2,k3_xboole_0(X0,k1_relat_1(sK2)))
| ~ spl17_7 ),
inference(forward_demodulation,[],[f744,f689]) ).
fof(f835,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X0,sK0,X1)
| k9_relset_2(sK1,sK0,X1,sF14,X0) = k5_relat_1(sF14,X0) )
| ~ spl17_8 ),
inference(resolution,[],[f355,f348]) ).
fof(f852,plain,
( k9_relset_2(sK1,sK0,sK1,sF14,sK2) = k5_relat_1(sF14,sK2)
| ~ spl17_8 ),
inference(resolution,[],[f835,f165]) ).
fof(f853,plain,
( sF15 = k5_relat_1(sF14,sK2)
| ~ spl17_8 ),
inference(forward_demodulation,[],[f852,f265]) ).
fof(f857,plain,
( ! [X0] : k9_relat_1(sF15,X0) = k9_relat_1(sK2,k9_relat_1(sF14,X0))
| ~ spl17_7
| ~ spl17_8 ),
inference(superposition,[],[f408,f853]) ).
fof(f872,plain,
( k9_relat_1(sF15,sK1) = k9_relat_1(sK2,k1_funct_5(sK2))
| ~ spl17_1
| ~ spl17_7
| ~ spl17_8 ),
inference(superposition,[],[f857,f333]) ).
fof(f887,plain,
( k9_relat_1(sF15,sK1) = k9_relat_1(sK2,k2_relat_1(sF14))
| ~ spl17_1
| ~ spl17_7
| ~ spl17_8 ),
inference(forward_demodulation,[],[f872,f592]) ).
fof(f888,plain,
( k9_relat_1(sF15,sK1) = k9_relat_1(sK2,k1_relat_1(sK2))
| ~ spl17_1
| ~ spl17_7
| ~ spl17_8 ),
inference(forward_demodulation,[],[f887,f689]) ).
fof(f889,plain,
( sF16 = k9_relat_1(sK2,k1_relat_1(sK2))
| ~ spl17_1
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8 ),
inference(forward_demodulation,[],[f888,f385]) ).
fof(f1051,plain,
( r1_tarski(k9_relat_1(sK2,k3_xboole_0(sK0,k1_relat_1(sK2))),k3_xboole_0(sF13,sF16))
| ~ spl17_1
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8 ),
inference(superposition,[],[f511,f889]) ).
fof(f1055,plain,
( r1_tarski(k9_relat_1(sK2,sK0),k3_xboole_0(sF13,sF16))
| ~ spl17_1
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8 ),
inference(forward_demodulation,[],[f1051,f765]) ).
fof(f1060,plain,
( r1_tarski(sF13,k3_xboole_0(sF13,sF16))
| ~ spl17_1
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8 ),
inference(forward_demodulation,[],[f1055,f278]) ).
fof(f1067,plain,
( ! [X0] :
( r2_hidden(X0,k3_xboole_0(sF13,sF16))
| ~ r2_hidden(X0,sF13) )
| ~ spl17_1
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8 ),
inference(resolution,[],[f1060,f175]) ).
fof(f1078,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF13)
| r2_hidden(X0,sF16) )
| ~ spl17_1
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8 ),
inference(resolution,[],[f1067,f259]) ).
fof(f1082,plain,
( ! [X0] :
( r2_hidden(sK3(sF13,X0),sF16)
| r1_tarski(sF13,X0) )
| ~ spl17_1
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8 ),
inference(resolution,[],[f1078,f176]) ).
fof(f1083,plain,
( r1_tarski(sF13,sF16)
| r1_tarski(sF13,sF16)
| ~ spl17_1
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8 ),
inference(resolution,[],[f1082,f177]) ).
fof(f1086,plain,
( r1_tarski(sF13,sF16)
| ~ spl17_1
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8 ),
inference(duplicate_literal_removal,[],[f1083]) ).
fof(f1088,plain,
( ~ r1_tarski(sF16,sF13)
| sF13 = sF16
| ~ spl17_1
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8 ),
inference(resolution,[],[f1086,f174]) ).
fof(f1089,plain,
( ~ r1_tarski(sF16,sF13)
| ~ spl17_1
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8 ),
inference(forward_subsumption_resolution,[],[f1088,f268]) ).
fof(f1331,plain,
( r1_tarski(sF16,sF13)
| ~ r1_tarski(k1_relat_1(sK2),sK0)
| ~ spl17_1
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8 ),
inference(superposition,[],[f638,f889]) ).
fof(f1335,plain,
( ~ r1_tarski(k1_relat_1(sK2),sK0)
| ~ spl17_1
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8 ),
inference(forward_subsumption_resolution,[],[f1331,f1089]) ).
fof(f1337,plain,
( $false
| ~ spl17_1
| ~ spl17_2
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8 ),
inference(forward_subsumption_resolution,[],[f1335,f701]) ).
fof(f1338,plain,
( ~ spl17_1
| ~ spl17_2
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8 ),
inference(avatar_contradiction_clause,[],[f1337]) ).
cnf(s1,plain,
( ~ spl17_1
| spl17_2 ),
inference(sat_conversion,[],[f294]) ).
cnf(s4,plain,
spl17_1,
inference(sat_conversion,[],[f327]) ).
cnf(s5,plain,
( ~ spl17_7
| ~ spl17_8
| spl17_9 ),
inference(sat_conversion,[],[f354]) ).
cnf(s6,plain,
spl17_7,
inference(sat_conversion,[],[f358]) ).
cnf(s7,plain,
spl17_8,
inference(sat_conversion,[],[f371]) ).
cnf(s8,plain,
( spl17_3
| ~ spl17_9 ),
inference(sat_conversion,[],[f378]) ).
cnf(s50,plain,
( ~ spl17_1
| ~ spl17_2
| ~ spl17_3
| ~ spl17_7
| ~ spl17_8 ),
inference(sat_conversion,[],[f1338]) ).
cnf(s51,plain,
spl17_9,
inference(rat,[],[s5,s7,s6]) ).
cnf(s54,plain,
spl17_3,
inference(rat,[],[s8,s51]) ).
cnf(s59,plain,
~ spl17_2,
inference(rat,[],[s50,s7,s6,s54,s4]) ).
cnf(s63,plain,
$false,
inference(rat,[],[s1,s59,s4]) ).
fof(f1340,plain,
$false,
inference(avatar_sat_refutation,[],[s63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU446+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n011.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 05:34:54 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.63/2.07 % (3097435)Detected formulas, will run a generic FOF schedule.
% 8.63/2.07 % (3097446)dis-21_1_sil=8000:lcm=predicate:random_seed=3581813520:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 8.63/2.07 % (3097445)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1655333078:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.63/2.07 % (3097440)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=1330676094:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.63/2.07 % (3097441)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=2448841887:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.63/2.07 % (3097443)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1244119771:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.63/2.07 % (3097442)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=2514372991:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.63/2.07 % (3097443)Refutation not found, incomplete strategy
% 8.63/2.07 % (3097443)------------------------------
% 8.63/2.07 % (3097443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.07 % (3097443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.07 % (3097443)CaDiCaL version: 2.1.3
% 8.63/2.07 % (3097443)Termination reason: Refutation not found, incomplete strategy
% 8.63/2.07 % (3097443)Time elapsed: 0.003 s
% 8.63/2.07 % (3097443)Peak memory usage: 88 MB
% 8.63/2.07 % (3097443)Instructions burned: 2 (million)
% 8.63/2.07 % (3097444)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=511972631:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.63/2.07 % (3097446)Instruction limit reached!
% 8.63/2.07 % (3097446)------------------------------
% 8.63/2.07 % (3097446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.07 % (3097446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.07 % (3097446)CaDiCaL version: 2.1.3
% 8.63/2.07 % (3097446)Termination reason: Instruction limit
% 8.63/2.07 % (3097446)Termination phase: Saturation
% 8.63/2.07 % (3097446)Time elapsed: 0.043 s
% 8.63/2.07 % (3097446)Peak memory usage: 89 MB
% 8.63/2.07 % (3097446)Instructions burned: 130 (million)
% 8.63/2.07 % (3097444)Instruction limit reached!
% 8.63/2.07 % (3097444)------------------------------
% 8.63/2.07 % (3097444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.07 % (3097444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.07 % (3097444)CaDiCaL version: 2.1.3
% 8.63/2.07 % (3097444)Termination reason: Instruction limit
% 8.63/2.07 % (3097444)Termination phase: Saturation
% 8.63/2.07 % (3097444)Time elapsed: 0.076 s
% 8.63/2.07 % (3097444)Peak memory usage: 89 MB
% 8.63/2.07 % (3097444)Instructions burned: 120 (million)
% 8.63/2.07 % (3097445)Instruction limit reached!
% 8.63/2.07 % (3097445)------------------------------
% 8.63/2.07 % (3097445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.07 % (3097445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.07 % (3097445)CaDiCaL version: 2.1.3
% 8.63/2.07 % (3097445)Termination reason: Instruction limit
% 8.63/2.07 % (3097445)Termination phase: Saturation
% 8.63/2.07 % (3097445)Time elapsed: 0.101 s
% 8.63/2.07 % (3097445)Peak memory usage: 90 MB
% 8.63/2.07 % (3097445)Instructions burned: 139 (million)
% 8.63/2.07 % (3097454)lrs+10_1_sil=8000:sp=occurrence:random_seed=500364593:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.63/2.07 % (3097455)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2758383763:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.63/2.07 % (3097454)Instruction limit reached!
% 8.63/2.07 % (3097454)------------------------------
% 8.63/2.07 % (3097454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.07 % (3097454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.07 % (3097454)CaDiCaL version: 2.1.3
% 8.63/2.07 % (3097454)Termination reason: Instruction limit
% 8.63/2.07 % (3097454)Termination phase: Saturation
% 8.63/2.07 % (3097454)Time elapsed: 0.096 s
% 8.63/2.07 % (3097454)Peak memory usage: 92 MB
% 8.63/2.07 % (3097454)Instructions burned: 286 (million)
% 8.63/2.07 % (3097456)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1419342710:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.63/2.07 % (3097443)------------------------------
% 8.63/2.07 % (3097443)------------------------------
% 8.63/2.07 % (3097459)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=1540605073:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 8.63/2.07 % (3097455)Instruction limit reached!
% 8.63/2.07 % (3097455)------------------------------
% 8.63/2.07 % (3097455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.07 % (3097455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.07 % (3097455)CaDiCaL version: 2.1.3
% 8.63/2.07 % (3097455)Termination reason: Instruction limit
% 8.63/2.07 % (3097455)Termination phase: Saturation
% 8.63/2.07 % (3097455)Time elapsed: 0.100 s
% 8.63/2.07 % (3097455)Peak memory usage: 91 MB
% 8.63/2.07 % (3097455)Instructions burned: 157 (million)
% 8.63/2.07 % (3097461)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=252325088:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 8.63/2.07 % (3097459)Instruction limit reached!
% 8.63/2.07 % (3097459)------------------------------
% 8.63/2.07 % (3097459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.07 % (3097459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.07 % (3097459)CaDiCaL version: 2.1.3
% 8.63/2.07 % (3097459)Termination reason: Instruction limit
% 8.63/2.07 % (3097459)Termination phase: Saturation
% 8.63/2.07 % (3097459)Time elapsed: 0.074 s
% 8.63/2.07 % (3097459)Peak memory usage: 93 MB
% 8.63/2.07 % (3097459)Instructions burned: 251 (million)
% 8.63/2.07 % (3097463)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3716244926:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 8.63/2.07 % (3097456)Instruction limit reached!
% 8.63/2.07 % (3097456)------------------------------
% 8.63/2.07 % (3097456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.07 % (3097456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.07 % (3097456)CaDiCaL version: 2.1.3
% 8.63/2.07 % (3097456)Termination reason: Instruction limit
% 8.63/2.07 % (3097456)Termination phase: Saturation
% 8.63/2.07 % (3097456)Time elapsed: 0.212 s
% 8.63/2.07 % (3097456)Peak memory usage: 91 MB
% 8.63/2.07 % (3097456)Instructions burned: 325 (million)
% 8.63/2.07 % (3097465)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4135283527:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.63/2.07 % (3097465)Instruction limit reached!
% 8.63/2.07 % (3097465)------------------------------
% 8.63/2.07 % (3097465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.07 % (3097465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.07 % (3097465)CaDiCaL version: 2.1.3
% 8.63/2.07 % (3097465)Termination reason: Instruction limit
% 8.63/2.07 % (3097465)Termination phase: Saturation
% 8.63/2.07 % (3097465)Time elapsed: 0.045 s
% 8.63/2.07 % (3097465)Peak memory usage: 90 MB
% 8.63/2.07 % (3097465)Instructions burned: 113 (million)
% 8.63/2.07 % (3097461)Instruction limit reached!
% 8.63/2.07 % (3097461)------------------------------
% 8.63/2.07 % (3097461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.07 % (3097461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.07 % (3097461)CaDiCaL version: 2.1.3
% 8.63/2.07 % (3097461)Termination reason: Instruction limit
% 8.63/2.07 % (3097461)Termination phase: Saturation
% 8.63/2.07 % (3097461)Time elapsed: 0.133 s
% 8.63/2.07 % (3097461)Peak memory usage: 88 MB
% 8.63/2.07 % (3097461)Instructions burned: 294 (million)
% 8.63/2.07 % (3097469)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4042383621:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 8.63/2.07 % (3097467)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3451378009:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 8.63/2.07 % (3097469)Instruction limit reached!
% 8.63/2.07 % (3097469)------------------------------
% 8.63/2.07 % (3097469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.07 % (3097469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.07 % (3097469)CaDiCaL version: 2.1.3
% 8.63/2.07 % (3097469)Termination reason: Instruction limit
% 8.63/2.07 % (3097469)Termination phase: Saturation
% 8.63/2.07 % (3097469)Time elapsed: 0.037 s
% 8.63/2.07 % (3097469)Peak memory usage: 89 MB
% 8.63/2.07 % (3097469)Instructions burned: 115 (million)
% 8.63/2.07 % (3097470)lrs+10_1_sil=8000:sp=occurrence:random_seed=3917242686:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 8.63/2.07 % (3097467)Instruction limit reached!
% 8.63/2.07 % (3097467)------------------------------
% 8.63/2.07 % (3097467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.07 % (3097467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.07 % (3097467)CaDiCaL version: 2.1.3
% 8.63/2.07 % (3097467)Termination reason: Instruction limit
% 8.63/2.07 % (3097467)Termination phase: Saturation
% 8.63/2.07 % (3097467)Time elapsed: 0.061 s
% 8.63/2.07 % (3097467)Peak memory usage: 89 MB
% 8.63/2.07 % (3097467)Instructions burned: 128 (million)
% 8.63/2.07 % (3097473)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=952927158:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 8.63/2.07 % (3097440)First to succeed.
% 8.63/2.07 % (3097475)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1975420004:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 8.63/2.07 % (3097440)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3097435"
% 8.63/2.07 % (3097473)Instruction limit reached!
% 8.63/2.07 % (3097473)------------------------------
% 8.63/2.07 % (3097473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.07 % (3097473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.07 % (3097473)CaDiCaL version: 2.1.3
% 8.63/2.07 % (3097473)Termination reason: Instruction limit
% 8.63/2.07 % (3097473)Termination phase: Saturation
% 8.63/2.07 % (3097473)Time elapsed: 0.087 s
% 8.63/2.07 % (3097473)Peak memory usage: 89 MB
% 8.63/2.07 % (3097473)Instructions burned: 440 (million)
% 8.63/2.07 % (3097478)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=628015194:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2990 on theBenchmark for (2990ds/134Mi)
% 8.63/2.07 % (3097478)Instruction limit reached!
% 8.63/2.07 % (3097478)------------------------------
% 8.63/2.07 % (3097478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.07 % (3097478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.07 % (3097478)CaDiCaL version: 2.1.3
% 8.63/2.07 % (3097478)Termination reason: Instruction limit
% 8.63/2.07 % (3097478)Termination phase: Saturation
% 8.63/2.07 % (3097478)Time elapsed: 0.039 s
% 8.63/2.07 % (3097478)Peak memory usage: 91 MB
% 8.63/2.07 % (3097478)Instructions burned: 136 (million)
% 8.63/2.07 % (3097441)Also succeeded, but the first one will report.
% 8.63/2.07 % (3097480)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1231442223:st=8:i=592:sd=3:ep=RST:ss=axioms_2989 on theBenchmark for (2989ds/592Mi)
% 8.63/2.07 % (3097440)Refutation found. Thanks to Tanya!
% 8.63/2.07 % SZS status Theorem for theBenchmark
% 8.63/2.07 % SZS output start Proof for theBenchmark
% See solution above
% 9.05/2.26 % (3097440)------------------------------
% 9.05/2.26 % (3097440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.05/2.26 % (3097440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.05/2.26 % (3097440)CaDiCaL version: 2.1.3
% 9.05/2.26 % (3097440)Termination reason: Refutation
% 9.05/2.26 % (3097440)Time elapsed: 0.792 s
% 9.05/2.26 % (3097440)Peak memory usage: 131 MB
% 9.05/2.26 % (3097440)Instructions burned: 1156 (million)
% 9.05/2.26 % (3097440)------------------------------
% 9.05/2.26 % (3097440)------------------------------
% 9.05/2.26 % (3097435)Success in time 1.202 s
% 9.05/2.26 % Vampire exiting
%------------------------------------------------------------------------------