%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU445+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 : n013.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 8.73s 2.08s
% Output : Refutation 9.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 29
% Syntax : Number of formulae : 176 ( 31 unt; 9 def)
% Number of atoms : 506 ( 79 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 584 ( 254 ~; 257 |; 42 &)
% ( 12 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 6 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 7 con; 0-5 aty)
% Number of variables : 272 ( 0 sgn 264 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) = k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,X2,k6_relset_1(X1,X0,X2)),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t57_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m2_relset_1(X2,X1,X0)
=> k10_relset_1(X0,X1,k6_relset_1(X1,X0,X2),X0) = k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,X2,k6_relset_1(X1,X0,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(f58,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_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(k4_relat_1(X2),X3) = k9_relat_1(k4_relat_1(X2),k3_xboole_0(X3,k2_funct_5(X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_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,k6_relset_1(X1,X0,X2),X0) != k10_relset_1(X1,X1,k9_relset_2(X1,X0,X1,X2,k6_relset_1(X1,X0,X2)),X1)
& m2_relset_1(X2,X1,X0) ),
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(f124,plain,
! [X0,X1,X2] :
( k6_relset_1(X0,X1,X2) = k4_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f58]) ).
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(k4_relat_1(X2),X3) = k9_relat_1(k4_relat_1(X2),k3_xboole_0(X3,k2_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,k6_relset_1(sK1,sK0,sK2),sK0) != k10_relset_1(sK1,sK1,k9_relset_2(sK1,sK0,sK1,sK2,k6_relset_1(sK1,sK0,sK2)),sK1)
& m2_relset_1(sK2,sK1,sK0) ),
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,sK1,sK0),
inference(cnf_transformation,[],[f145]) ).
fof(f166,plain,
k10_relset_1(sK0,sK1,k6_relset_1(sK1,sK0,sK2),sK0) != k10_relset_1(sK1,sK1,k9_relset_2(sK1,sK0,sK1,sK2,k6_relset_1(sK1,sK0,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(f231,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
inference(cnf_transformation,[],[f124]) ).
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(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(k4_relat_1(X2),X3) = k9_relat_1(k4_relat_1(X2),k3_xboole_0(X3,k2_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(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 = k6_relset_1(sK1,sK0,sK2),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f261,plain,
k6_relset_1(sK1,sK0,sK2) = sF13,
inference(reorient_equations,[],[f260]) ).
fof(f262,definition,
sF14 = k10_relset_1(sK0,sK1,sF13,sK0),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f263,plain,
k10_relset_1(sK0,sK1,sF13,sK0) = sF14,
inference(reorient_equations,[],[f262]) ).
fof(f264,definition,
sF15 = k9_relset_2(sK1,sK0,sK1,sK2,sF13),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f265,plain,
k9_relset_2(sK1,sK0,sK1,sK2,sF13) = 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,
sF14 != sF16,
inference(definition_folding,[],[f166,f267,f265,f261,f263,f261]) ).
fof(f272,plain,
k2_funct_5(sK2) = k10_relset_1(sK1,sK0,sK2,sK1),
inference(resolution,[],[f249,f165]) ).
fof(f273,plain,
m1_relset_1(sK2,sK1,sK0),
inference(resolution,[],[f233,f165]) ).
fof(f274,plain,
! [X0] : k10_relset_1(sK1,sK0,sK2,X0) = k9_relat_1(sK2,X0),
inference(resolution,[],[f273,f228]) ).
fof(f275,plain,
k6_relset_1(sK1,sK0,sK2) = k4_relat_1(sK2),
inference(resolution,[],[f273,f231]) ).
fof(f276,plain,
sF13 = k4_relat_1(sK2),
inference(forward_demodulation,[],[f275,f261]) ).
fof(f280,plain,
k2_funct_5(sK2) = k9_relat_1(sK2,sK1),
inference(superposition,[],[f274,f272]) ).
fof(f284,plain,
( m2_relset_1(sF15,sK1,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| ~ m1_subset_1(sF13,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
inference(superposition,[],[f190,f265]) ).
fof(f286,definition,
( spl17_1
<=> m1_subset_1(sF13,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))) ),
introduced(definition,[new_symbols(definition,[spl17_1])],[avatar_definition]) ).
fof(f287,plain,
( m1_subset_1(sF13,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ spl17_1 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f288,plain,
( ~ m1_subset_1(sF13,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| spl17_1 ),
inference(avatar_component_clause,[],[f286]) ).
fof(f290,definition,
( spl17_2
<=> m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK1,sK0))) ),
introduced(definition,[new_symbols(definition,[spl17_2])],[avatar_definition]) ).
fof(f291,plain,
( m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| ~ spl17_2 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f292,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| spl17_2 ),
inference(avatar_component_clause,[],[f290]) ).
fof(f294,definition,
( spl17_3
<=> m2_relset_1(sF15,sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl17_3])],[avatar_definition]) ).
fof(f296,plain,
( m2_relset_1(sF15,sK1,sK1)
| ~ spl17_3 ),
inference(avatar_component_clause,[],[f294]) ).
fof(f297,plain,
( ~ spl17_1
| ~ spl17_2
| spl17_3 ),
inference(avatar_split_clause,[],[f284,f294,f290,f286]) ).
fof(f302,plain,
( m1_subset_1(k2_funct_5(sK2),k1_zfmisc_1(sK0))
| ~ m1_relset_1(sK2,sK1,sK0) ),
inference(superposition,[],[f184,f272]) ).
fof(f303,plain,
m1_subset_1(k2_funct_5(sK2),k1_zfmisc_1(sK0)),
inference(forward_subsumption_resolution,[],[f302,f273]) ).
fof(f306,definition,
( spl17_4
<=> m1_relset_1(sF15,sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl17_4])],[avatar_definition]) ).
fof(f307,plain,
( m1_relset_1(sF15,sK1,sK1)
| ~ spl17_4 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f308,plain,
( ~ m1_relset_1(sF15,sK1,sK1)
| spl17_4 ),
inference(avatar_component_clause,[],[f306]) ).
fof(f315,definition,
( spl17_6
<=> m1_relset_1(sF13,sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl17_6])],[avatar_definition]) ).
fof(f316,plain,
( m1_relset_1(sF13,sK0,sK1)
| ~ spl17_6 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f317,plain,
( ~ m1_relset_1(sF13,sK0,sK1)
| spl17_6 ),
inference(avatar_component_clause,[],[f315]) ).
fof(f327,plain,
( m2_relset_1(sF13,sK0,sK1)
| ~ m1_relset_1(sK2,sK1,sK0) ),
inference(superposition,[],[f189,f261]) ).
fof(f338,plain,
m2_relset_1(sF13,sK0,sK1),
inference(forward_subsumption_resolution,[],[f327,f273]) ).
fof(f339,plain,
m1_relset_1(sF13,sK0,sK1),
inference(resolution,[],[f338,f233]) ).
fof(f343,plain,
( $false
| spl17_6 ),
inference(forward_subsumption_resolution,[],[f339,f317]) ).
fof(f344,plain,
spl17_6,
inference(avatar_contradiction_clause,[],[f343]) ).
fof(f346,plain,
( ! [X0] : k10_relset_1(sK0,sK1,sF13,X0) = k9_relat_1(sF13,X0)
| ~ spl17_6 ),
inference(resolution,[],[f316,f228]) ).
fof(f350,plain,
( sF14 = k9_relat_1(sF13,sK0)
| ~ spl17_6 ),
inference(superposition,[],[f263,f346]) ).
fof(f367,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(f368,plain,
( ~ m2_relset_1(sF13,sK0,sK1)
| spl17_1 ),
inference(resolution,[],[f191,f288]) ).
fof(f369,plain,
( $false
| spl17_1 ),
inference(forward_subsumption_resolution,[],[f368,f338]) ).
fof(f370,plain,
spl17_1,
inference(avatar_contradiction_clause,[],[f369]) ).
fof(f371,plain,
( ~ m2_relset_1(sK2,sK1,sK0)
| spl17_2 ),
inference(resolution,[],[f292,f191]) ).
fof(f372,plain,
( $false
| spl17_2 ),
inference(forward_subsumption_resolution,[],[f371,f165]) ).
fof(f373,plain,
spl17_2,
inference(avatar_contradiction_clause,[],[f372]) ).
fof(f374,plain,
( m1_relset_1(sF15,sK1,sK1)
| ~ spl17_3 ),
inference(resolution,[],[f296,f233]) ).
fof(f378,plain,
( $false
| ~ spl17_3
| spl17_4 ),
inference(forward_subsumption_resolution,[],[f374,f308]) ).
fof(f379,plain,
( ~ spl17_3
| spl17_4 ),
inference(avatar_contradiction_clause,[],[f378]) ).
fof(f382,plain,
( ! [X0] : k10_relset_1(sK1,sK1,sF15,X0) = k9_relat_1(sF15,X0)
| ~ spl17_4 ),
inference(resolution,[],[f307,f228]) ).
fof(f386,plain,
( sF16 = k9_relat_1(sF15,sK1)
| ~ spl17_4 ),
inference(superposition,[],[f267,f382]) ).
fof(f402,plain,
( v1_relat_1(sK2)
| ~ spl17_2 ),
inference(resolution,[],[f169,f291]) ).
fof(f403,plain,
( v1_relat_1(sF13)
| ~ spl17_1 ),
inference(resolution,[],[f169,f287]) ).
fof(f413,plain,
( ! [X0,X1] :
( ~ v1_relat_1(X0)
| k9_relat_1(k5_relat_1(X0,sF13),X1) = k9_relat_1(sF13,k9_relat_1(X0,X1)) )
| ~ spl17_1 ),
inference(resolution,[],[f403,f238]) ).
fof(f425,plain,
( ! [X0] : k9_relat_1(k4_relat_1(sK2),X0) = k9_relat_1(k4_relat_1(sK2),k3_xboole_0(X0,k2_funct_5(sK2)))
| ~ spl17_2 ),
inference(resolution,[],[f247,f291]) ).
fof(f428,plain,
( ! [X0] : k9_relat_1(sF13,X0) = k9_relat_1(sF13,k3_xboole_0(X0,k2_funct_5(sK2)))
| ~ spl17_2 ),
inference(forward_demodulation,[],[f425,f276]) ).
fof(f438,plain,
( ! [X0] : k9_relat_1(k5_relat_1(sK2,sF13),X0) = k9_relat_1(sF13,k9_relat_1(sK2,X0))
| ~ spl17_1
| ~ spl17_2 ),
inference(resolution,[],[f413,f402]) ).
fof(f502,plain,
( ! [X0] :
( r1_tarski(k9_relat_1(sF13,X0),k3_xboole_0(k9_relat_1(sF13,X0),k9_relat_1(sF13,k2_funct_5(sK2))))
| ~ v1_relat_1(sF13) )
| ~ spl17_2 ),
inference(superposition,[],[f236,f428]) ).
fof(f553,plain,
( ! [X0] : r1_tarski(k9_relat_1(sF13,X0),k3_xboole_0(k9_relat_1(sF13,X0),k9_relat_1(sF13,k2_funct_5(sK2))))
| ~ spl17_1
| ~ spl17_2 ),
inference(forward_subsumption_resolution,[],[f502,f403]) ).
fof(f595,plain,
( k2_funct_5(sK2) = k2_relat_1(sK2)
| ~ spl17_2 ),
inference(resolution,[],[f241,f402]) ).
fof(f653,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X3,k9_relat_1(X2,X0))
| ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| r2_hidden(X3,k9_relat_1(X2,X1)) ),
inference(resolution,[],[f237,f175]) ).
fof(f758,plain,
r1_tarski(k2_funct_5(sK2),sK0),
inference(resolution,[],[f245,f303]) ).
fof(f763,plain,
( r1_tarski(k2_relat_1(sK2),sK0)
| ~ spl17_2 ),
inference(forward_demodulation,[],[f758,f595]) ).
fof(f879,plain,
( ! [X0,X1] :
( ~ m2_relset_1(X0,sK0,X1)
| k9_relset_2(sK1,sK0,X1,sK2,X0) = k5_relat_1(sK2,X0) )
| ~ spl17_2 ),
inference(resolution,[],[f367,f291]) ).
fof(f891,plain,
( k9_relset_2(sK1,sK0,sK1,sK2,sF13) = k5_relat_1(sK2,sF13)
| ~ spl17_2 ),
inference(resolution,[],[f879,f338]) ).
fof(f892,plain,
( sF15 = k5_relat_1(sK2,sF13)
| ~ spl17_2 ),
inference(forward_demodulation,[],[f891,f265]) ).
fof(f893,plain,
( ! [X0] : k9_relat_1(sF15,X0) = k9_relat_1(sF13,k9_relat_1(sK2,X0))
| ~ spl17_1
| ~ spl17_2 ),
inference(superposition,[],[f438,f892]) ).
fof(f894,plain,
( k9_relat_1(sF15,sK1) = k9_relat_1(sF13,k2_funct_5(sK2))
| ~ spl17_1
| ~ spl17_2 ),
inference(superposition,[],[f893,f280]) ).
fof(f907,plain,
( k9_relat_1(sF15,sK1) = k9_relat_1(sF13,k2_relat_1(sK2))
| ~ spl17_1
| ~ spl17_2 ),
inference(forward_demodulation,[],[f894,f595]) ).
fof(f908,plain,
( sF16 = k9_relat_1(sF13,k2_relat_1(sK2))
| ~ spl17_1
| ~ spl17_2
| ~ spl17_4 ),
inference(forward_demodulation,[],[f907,f386]) ).
fof(f1253,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,sF16)
| ~ v1_relat_1(sF13)
| ~ r1_tarski(k2_relat_1(sK2),X1)
| r2_hidden(X0,k9_relat_1(sF13,X1)) )
| ~ spl17_1
| ~ spl17_2
| ~ spl17_4 ),
inference(superposition,[],[f653,f908]) ).
fof(f1262,plain,
( ! [X0,X1] :
( r2_hidden(X0,k9_relat_1(sF13,X1))
| ~ r1_tarski(k2_relat_1(sK2),X1)
| ~ r2_hidden(X0,sF16) )
| ~ spl17_1
| ~ spl17_2
| ~ spl17_4 ),
inference(forward_subsumption_resolution,[],[f1253,f403]) ).
fof(f1303,plain,
( ! [X0] :
( r2_hidden(X0,sF14)
| ~ r1_tarski(k2_relat_1(sK2),sK0)
| ~ r2_hidden(X0,sF16) )
| ~ spl17_1
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6 ),
inference(superposition,[],[f1262,f350]) ).
fof(f1304,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF16)
| r2_hidden(X0,sF14) )
| ~ spl17_1
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6 ),
inference(forward_subsumption_resolution,[],[f1303,f763]) ).
fof(f1308,plain,
( ! [X0] :
( r2_hidden(sK3(sF16,X0),sF14)
| r1_tarski(sF16,X0) )
| ~ spl17_1
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6 ),
inference(resolution,[],[f1304,f176]) ).
fof(f1309,plain,
( r1_tarski(sF16,sF14)
| r1_tarski(sF16,sF14)
| ~ spl17_1
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6 ),
inference(resolution,[],[f1308,f177]) ).
fof(f1313,plain,
( r1_tarski(sF16,sF14)
| ~ spl17_1
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6 ),
inference(duplicate_literal_removal,[],[f1309]) ).
fof(f1315,plain,
( ~ r1_tarski(sF14,sF16)
| sF14 = sF16
| ~ spl17_1
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6 ),
inference(resolution,[],[f1313,f174]) ).
fof(f1316,plain,
( ~ r1_tarski(sF14,sF16)
| ~ spl17_1
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6 ),
inference(forward_subsumption_resolution,[],[f1315,f268]) ).
fof(f1391,plain,
( r1_tarski(sF14,k3_xboole_0(sF14,k9_relat_1(sF13,k2_funct_5(sK2))))
| ~ spl17_1
| ~ spl17_2
| ~ spl17_6 ),
inference(superposition,[],[f553,f350]) ).
fof(f1396,plain,
( r1_tarski(sF14,k3_xboole_0(sF14,k9_relat_1(sF13,k2_relat_1(sK2))))
| ~ spl17_1
| ~ spl17_2
| ~ spl17_6 ),
inference(forward_demodulation,[],[f1391,f595]) ).
fof(f1401,plain,
( r1_tarski(sF14,k3_xboole_0(sF14,sF16))
| ~ spl17_1
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6 ),
inference(forward_demodulation,[],[f1396,f908]) ).
fof(f1409,plain,
( ! [X0] :
( r2_hidden(X0,k3_xboole_0(sF14,sF16))
| ~ r2_hidden(X0,sF14) )
| ~ spl17_1
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6 ),
inference(resolution,[],[f1401,f175]) ).
fof(f1420,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF14)
| r2_hidden(X0,sF16) )
| ~ spl17_1
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6 ),
inference(resolution,[],[f1409,f259]) ).
fof(f1426,plain,
( ! [X0] :
( r2_hidden(sK3(sF14,X0),sF16)
| r1_tarski(sF14,X0) )
| ~ spl17_1
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6 ),
inference(resolution,[],[f1420,f176]) ).
fof(f1427,plain,
( r1_tarski(sF14,sF16)
| r1_tarski(sF14,sF16)
| ~ spl17_1
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6 ),
inference(resolution,[],[f1426,f177]) ).
fof(f1432,plain,
( r1_tarski(sF14,sF16)
| ~ spl17_1
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6 ),
inference(duplicate_literal_removal,[],[f1427]) ).
fof(f1433,plain,
( $false
| ~ spl17_1
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6 ),
inference(forward_subsumption_resolution,[],[f1432,f1316]) ).
fof(f1434,plain,
( ~ spl17_1
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6 ),
inference(avatar_contradiction_clause,[],[f1433]) ).
cnf(s1,plain,
( ~ spl17_1
| ~ spl17_2
| spl17_3 ),
inference(sat_conversion,[],[f297]) ).
cnf(s5,plain,
spl17_6,
inference(sat_conversion,[],[f344]) ).
cnf(s7,plain,
spl17_1,
inference(sat_conversion,[],[f370]) ).
cnf(s8,plain,
spl17_2,
inference(sat_conversion,[],[f373]) ).
cnf(s9,plain,
( ~ spl17_3
| spl17_4 ),
inference(sat_conversion,[],[f379]) ).
cnf(s54,plain,
( ~ spl17_1
| ~ spl17_2
| ~ spl17_4
| ~ spl17_6 ),
inference(sat_conversion,[],[f1434]) ).
cnf(s61,plain,
~ spl17_4,
inference(rat,[],[s54,s7,s8,s5]) ).
cnf(s63,plain,
~ spl17_3,
inference(rat,[],[s9,s61]) ).
cnf(s65,plain,
$false,
inference(rat,[],[s1,s63,s8,s7]) ).
fof(f1435,plain,
$false,
inference(avatar_sat_refutation,[],[s65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU445+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 05:32:22 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 8.73/2.08 % (871307)Detected formulas, will run a generic FOF schedule.
% 8.73/2.08 % (871314)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=2620454500:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.73/2.08 % (871316)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2370403426:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.73/2.08 % (871313)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=3538405555:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.73/2.08 % (871312)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=3674625564:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.73/2.08 % (871315)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3867671382:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.73/2.08 % (871315)Refutation not found, incomplete strategy
% 8.73/2.08 % (871315)------------------------------
% 8.73/2.08 % (871315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.08 % (871315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.08 % (871315)CaDiCaL version: 2.1.3
% 8.73/2.08 % (871315)Termination reason: Refutation not found, incomplete strategy
% 8.73/2.08 % (871315)Time elapsed: 0.003 s
% 8.73/2.08 % (871315)Peak memory usage: 88 MB
% 8.73/2.08 % (871315)Instructions burned: 3 (million)
% 8.73/2.08 % (871318)dis-21_1_sil=8000:lcm=predicate:random_seed=2904927970: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)
% 8.73/2.08 % (871317)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2132367627:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.73/2.08 % (871316)Instruction limit reached!
% 8.73/2.08 % (871316)------------------------------
% 8.73/2.08 % (871316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.08 % (871316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.08 % (871316)CaDiCaL version: 2.1.3
% 8.73/2.08 % (871316)Termination reason: Instruction limit
% 8.73/2.08 % (871316)Termination phase: Saturation
% 8.73/2.08 % (871316)Time elapsed: 0.074 s
% 8.73/2.08 % (871316)Peak memory usage: 89 MB
% 8.73/2.08 % (871316)Instructions burned: 119 (million)
% 8.73/2.08 % (871318)Instruction limit reached!
% 8.73/2.08 % (871318)------------------------------
% 8.73/2.08 % (871318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.08 % (871318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.08 % (871318)CaDiCaL version: 2.1.3
% 8.73/2.08 % (871318)Termination reason: Instruction limit
% 8.73/2.08 % (871318)Termination phase: Saturation
% 8.73/2.08 % (871318)Time elapsed: 0.080 s
% 8.73/2.08 % (871318)Peak memory usage: 89 MB
% 8.73/2.08 % (871318)Instructions burned: 130 (million)
% 8.73/2.08 % (871317)Instruction limit reached!
% 8.73/2.08 % (871317)------------------------------
% 8.73/2.08 % (871317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.08 % (871317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.08 % (871317)CaDiCaL version: 2.1.3
% 8.73/2.08 % (871317)Termination reason: Instruction limit
% 8.73/2.08 % (871317)Termination phase: Saturation
% 8.73/2.08 % (871317)Time elapsed: 0.104 s
% 8.73/2.08 % (871317)Peak memory usage: 90 MB
% 8.73/2.08 % (871317)Instructions burned: 139 (million)
% 8.73/2.08 % (871326)lrs+10_1_sil=8000:sp=occurrence:random_seed=4286992641:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 8.73/2.08 % (871327)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3843035130:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.73/2.08 % (871315)------------------------------
% 8.73/2.08 % (871315)------------------------------
% 8.73/2.08 % (871328)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1927234430:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.73/2.08 % (871327)Instruction limit reached!
% 8.73/2.08 % (871327)------------------------------
% 8.73/2.08 % (871327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.08 % (871327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.08 % (871327)CaDiCaL version: 2.1.3
% 8.73/2.08 % (871327)Termination reason: Instruction limit
% 8.73/2.08 % (871327)Termination phase: Saturation
% 8.73/2.08 % (871327)Time elapsed: 0.098 s
% 8.73/2.08 % (871327)Peak memory usage: 91 MB
% 8.73/2.08 % (871327)Instructions burned: 158 (million)
% 8.73/2.08 % (871332)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=2514821234:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 8.73/2.08 % (871326)Instruction limit reached!
% 8.73/2.08 % (871326)------------------------------
% 8.73/2.08 % (871326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.08 % (871326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.08 % (871326)CaDiCaL version: 2.1.3
% 8.73/2.08 % (871326)Termination reason: Instruction limit
% 8.73/2.08 % (871326)Termination phase: Saturation
% 8.73/2.08 % (871326)Time elapsed: 0.174 s
% 8.73/2.08 % (871326)Peak memory usage: 92 MB
% 8.73/2.08 % (871326)Instructions burned: 285 (million)
% 8.73/2.08 % (871332)Instruction limit reached!
% 8.73/2.08 % (871332)------------------------------
% 8.73/2.08 % (871332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.08 % (871332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.08 % (871332)CaDiCaL version: 2.1.3
% 8.73/2.08 % (871332)Termination reason: Instruction limit
% 8.73/2.08 % (871332)Termination phase: Saturation
% 8.73/2.08 % (871332)Time elapsed: 0.075 s
% 8.73/2.08 % (871332)Peak memory usage: 94 MB
% 8.73/2.08 % (871332)Instructions burned: 251 (million)
% 8.73/2.08 % (871333)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1987322382:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 8.73/2.08 % (871328)Instruction limit reached!
% 8.73/2.08 % (871328)------------------------------
% 8.73/2.08 % (871328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.08 % (871328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.08 % (871328)CaDiCaL version: 2.1.3
% 8.73/2.08 % (871328)Termination reason: Instruction limit
% 8.73/2.08 % (871328)Termination phase: Saturation
% 8.73/2.08 % (871328)Time elapsed: 0.211 s
% 8.73/2.08 % (871328)Peak memory usage: 91 MB
% 8.73/2.08 % (871328)Instructions burned: 326 (million)
% 8.73/2.08 % (871335)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1992817248:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.73/2.08 % (871336)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=43116239:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.73/2.08 % (871336)Instruction limit reached!
% 8.73/2.08 % (871336)------------------------------
% 8.73/2.08 % (871336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.08 % (871336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.08 % (871336)CaDiCaL version: 2.1.3
% 8.73/2.08 % (871336)Termination reason: Instruction limit
% 8.73/2.08 % (871336)Termination phase: Saturation
% 8.73/2.08 % (871336)Time elapsed: 0.046 s
% 8.73/2.08 % (871336)Peak memory usage: 90 MB
% 8.73/2.08 % (871336)Instructions burned: 116 (million)
% 8.73/2.08 % (871333)Instruction limit reached!
% 8.73/2.08 % (871333)------------------------------
% 8.73/2.08 % (871333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.08 % (871333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.08 % (871333)CaDiCaL version: 2.1.3
% 8.73/2.08 % (871333)Termination reason: Instruction limit
% 8.73/2.08 % (871333)Termination phase: Saturation
% 8.73/2.08 % (871333)Time elapsed: 0.136 s
% 8.73/2.08 % (871333)Peak memory usage: 88 MB
% 8.73/2.08 % (871333)Instructions burned: 294 (million)
% 8.73/2.08 % (871338)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3848848581:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 8.73/2.08 % (871341)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2784082312:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 8.73/2.08 % (871338)Instruction limit reached!
% 8.73/2.08 % (871338)------------------------------
% 8.73/2.08 % (871338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.08 % (871338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.08 % (871338)CaDiCaL version: 2.1.3
% 8.73/2.08 % (871338)Termination reason: Instruction limit
% 8.73/2.08 % (871338)Termination phase: Saturation
% 8.73/2.08 % (871338)Time elapsed: 0.062 s
% 8.73/2.08 % (871338)Peak memory usage: 89 MB
% 8.73/2.08 % (871338)Instructions burned: 129 (million)
% 8.73/2.08 % (871341)Instruction limit reached!
% 8.73/2.08 % (871341)------------------------------
% 8.73/2.08 % (871341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.08 % (871341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.08 % (871341)CaDiCaL version: 2.1.3
% 8.73/2.08 % (871341)Termination reason: Instruction limit
% 8.73/2.08 % (871341)Termination phase: Saturation
% 8.73/2.08 % (871341)Time elapsed: 0.037 s
% 8.73/2.08 % (871341)Peak memory usage: 89 MB
% 8.73/2.08 % (871341)Instructions burned: 117 (million)
% 8.73/2.08 % (871343)lrs+10_1_sil=8000:sp=occurrence:random_seed=1752561621:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 8.73/2.08 % (871346)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2229362832:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 8.73/2.08 % (871345)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=399981462:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.73/2.08 % (871312)First to succeed.
% 8.73/2.08 % (871312)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-871307"
% 8.73/2.08 % (871313)Also succeeded, but the first one will report.
% 8.73/2.08 % (871345)Instruction limit reached!
% 8.73/2.08 % (871345)------------------------------
% 8.73/2.08 % (871345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.08 % (871345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.08 % (871345)CaDiCaL version: 2.1.3
% 8.73/2.08 % (871345)Termination reason: Instruction limit
% 8.73/2.08 % (871345)Termination phase: Saturation
% 8.73/2.08 % (871345)Time elapsed: 0.165 s
% 8.73/2.08 % (871345)Peak memory usage: 89 MB
% 8.73/2.08 % (871345)Instructions burned: 439 (million)
% 8.73/2.08 % (871312)Refutation found. Thanks to Tanya!
% 8.73/2.08 % SZS status Theorem for theBenchmark
% 8.73/2.08 % SZS output start Proof for theBenchmark
% See solution above
% 9.20/2.27 % (871312)------------------------------
% 9.20/2.27 % (871312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.20/2.27 % (871312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.20/2.27 % (871312)CaDiCaL version: 2.1.3
% 9.20/2.27 % (871312)Termination reason: Refutation
% 9.20/2.27 % (871312)Time elapsed: 0.815 s
% 9.20/2.27 % (871312)Peak memory usage: 131 MB
% 9.20/2.27 % (871312)Instructions burned: 1201 (million)
% 9.20/2.27 % (871312)------------------------------
% 9.20/2.27 % (871312)------------------------------
% 9.20/2.27 % (871307)Success in time 1.225 s
% 9.20/2.27 % Vampire exiting
%------------------------------------------------------------------------------