%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG225+3 : 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 : n017.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 09:19:27 AM UTC 2026
% Result : Theorem 13.27s 3.39s
% Output : Refutation 14.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 21
% Syntax : Number of formulae : 113 ( 36 unt; 2 def)
% Number of atoms : 315 ( 88 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 330 ( 128 ~; 131 |; 44 &)
% ( 9 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 3 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 4 con; 0-3 aty)
% Number of variables : 173 ( 0 sgn 162 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f258,axiom,
! [X0] : k2_tarski(X0,X0) = k1_tarski(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f675,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f801,axiom,
! [X0,X1] :
( v1_relat_1(X1)
=> k7_relat_1(X1,X0) = k5_relat_1(k6_relat_1(X0),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t94_relat_1) ).
fof(f809,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r1_tarski(X0,X1)
=> k7_relat_1(k7_relat_1(X2,X0),X1) = k7_relat_1(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t102_relat_1) ).
fof(f1636,axiom,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
fof(f2371,axiom,
! [X0,X1] : k2_funcop_1(X0,X1) = k2_zfmisc_1(X0,k1_tarski(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_funcop_1) ).
fof(f3384,axiom,
( v1_xboole_0(k1_xboole_0)
& v1_membered(k1_xboole_0)
& v2_membered(k1_xboole_0)
& v3_membered(k1_xboole_0)
& v4_membered(k1_xboole_0)
& v5_membered(k1_xboole_0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_membered) ).
fof(f3551,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_card_1) ).
fof(f5202,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X0)
& v2_relat_1(X1)
& m1_pboole(X1,X0)
& m1_subset_1(X2,X0) )
=> ~ v1_xboole_0(k1_funct_1(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_pboole) ).
fof(f5213,axiom,
! [X0] : k1_pboole(X0) = k2_funcop_1(X0,k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_pboole) ).
fof(f5388,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ( v1_relat_1(X1)
& v1_funct_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_pboole) ).
fof(f6127,axiom,
! [X0,X1] : m1_pboole(k2_pre_circ(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_pre_circ) ).
fof(f6128,axiom,
! [X0,X1] : k2_pre_circ(X0,X1) = k2_funcop_1(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_pre_circ) ).
fof(f14544,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> k5_relat_1(k6_partfun1(X0),X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_functor0) ).
fof(f16923,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_pboole(X2,X1) )
=> ( r2_hidden(X0,a_2_0_closure3(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,X1)
& X0 = X3
& k1_funct_1(X2,X3) != k1_xboole_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_closure3) ).
fof(f16942,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_pboole(X2,X0)
=> k1_funct_4(X1,X2) = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_closure3) ).
fof(f16949,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( X2 = k1_closure3(X0,X1)
<=> X2 = a_2_0_closure3(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_closure3) ).
fof(f16950,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( v2_relat_1(X1)
& m1_pboole(X1,X0) )
=> X1 = k1_funct_4(k1_pboole(X0),k7_relat_1(X1,k1_closure3(X0,X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_closure3) ).
fof(f16951,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( v2_relat_1(X1)
& m1_pboole(X1,X0) )
=> X1 = k1_funct_4(k1_pboole(X0),k7_relat_1(X1,k1_closure3(X0,X1))) ) ),
inference(negated_conjecture,[status(cth)],[f16950]) ).
fof(f16996,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,X1)
& X0 = X3
& k1_funct_1(X2,X3) != k1_xboole_0 ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(ennf_transformation,[],[f16923]) ).
fof(f16997,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,X1)
& X0 = X3
& k1_funct_1(X2,X3) != k1_xboole_0 ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(flattening,[],[f16996]) ).
fof(f17032,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k1_funct_4(X1,X2) = X2
| ~ m1_pboole(X2,X0) )
| ~ m1_pboole(X1,X0) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f16942]) ).
fof(f17043,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k1_closure3(X0,X1)
<=> X2 = a_2_0_closure3(X0,X1) )
| ~ m1_pboole(X1,X0) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f16949]) ).
fof(f17044,plain,
? [X0] :
( ? [X1] :
( k1_funct_4(k1_pboole(X0),k7_relat_1(X1,k1_closure3(X0,X1))) != X1
& v2_relat_1(X1)
& m1_pboole(X1,X0) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f16951]) ).
fof(f17045,plain,
? [X0] :
( ? [X1] :
( k1_funct_4(k1_pboole(X0),k7_relat_1(X1,k1_closure3(X0,X1))) != X1
& v2_relat_1(X1)
& m1_pboole(X1,X0) )
& ~ v1_xboole_0(X0) ),
inference(flattening,[],[f17044]) ).
fof(f17052,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f675]) ).
fof(f17099,plain,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f5388]) ).
fof(f17112,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(k1_funct_1(X1,X2))
| v1_xboole_0(X0)
| ~ v2_relat_1(X1)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,X0) ),
inference(ennf_transformation,[],[f5202]) ).
fof(f17113,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(k1_funct_1(X1,X2))
| v1_xboole_0(X0)
| ~ v2_relat_1(X1)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,X0) ),
inference(flattening,[],[f17112]) ).
fof(f17370,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f17453,plain,
! [X0,X1,X2] :
( k7_relat_1(k7_relat_1(X2,X0),X1) = k7_relat_1(X2,X0)
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f809]) ).
fof(f17454,plain,
! [X0,X1,X2] :
( k7_relat_1(k7_relat_1(X2,X0),X1) = k7_relat_1(X2,X0)
| ~ r1_tarski(X0,X1)
| ~ v1_relat_1(X2) ),
inference(flattening,[],[f17453]) ).
fof(f17961,plain,
! [X0,X1] :
( k5_relat_1(k6_partfun1(X0),X1) = X1
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f14544]) ).
fof(f20874,plain,
! [X0,X1] :
( k7_relat_1(X1,X0) = k5_relat_1(k6_relat_1(X0),X1)
| ~ v1_relat_1(X1) ),
inference(ennf_transformation,[],[f801]) ).
fof(f21101,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| X0 != X3
| k1_xboole_0 = k1_funct_1(X2,X3) ) )
& ( ? [X3] :
( m1_subset_1(X3,X1)
& X0 = X3
& k1_funct_1(X2,X3) != k1_xboole_0 )
| ~ r2_hidden(X0,a_2_0_closure3(X1,X2)) ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(nnf_transformation,[],[f16997]) ).
fof(f21102,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| X0 != X3
| k1_xboole_0 = k1_funct_1(X2,X3) ) )
& ( ? [X4] :
( m1_subset_1(X4,X1)
& X0 = X4
& k1_xboole_0 != k1_funct_1(X2,X4) )
| ~ r2_hidden(X0,a_2_0_closure3(X1,X2)) ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(rectify,[],[f21101]) ).
fof(f21103,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| X0 != X3
| k1_xboole_0 = k1_funct_1(X2,X3) ) )
& ( ( m1_subset_1(sK20(X0,X1,X2),X1)
& sK20(X0,X1,X2) = X0
& k1_xboole_0 != k1_funct_1(X2,sK20(X0,X1,X2)) )
| ~ r2_hidden(X0,a_2_0_closure3(X1,X2)) ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20]),skolemize(X4,sK20(X0,X1,X2))],[f21102]) ).
fof(f21115,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k1_closure3(X0,X1)
| a_2_0_closure3(X0,X1) != X2 )
& ( X2 = a_2_0_closure3(X0,X1)
| k1_closure3(X0,X1) != X2 ) )
| ~ m1_pboole(X1,X0) )
| v1_xboole_0(X0) ),
inference(nnf_transformation,[],[f17043]) ).
fof(f21116,plain,
( sK28 != k1_funct_4(k1_pboole(sK27),k7_relat_1(sK28,k1_closure3(sK27,sK28)))
& v2_relat_1(sK28)
& m1_pboole(sK28,sK27)
& ~ v1_xboole_0(sK27) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27,sK28]),skolemize(X0,sK27),skolemize(X1,sK28)],[f17045]) ).
fof(f21209,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,[],[f17370]) ).
fof(f21210,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,[],[f21209]) ).
fof(f21211,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK81(X0,X1),X1)
& r2_hidden(sK81(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK81]),skolemize(X2,sK81(X0,X1))],[f21210]) ).
fof(f22432,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,a_2_0_closure3(X1,X2))
| ~ m1_subset_1(X3,X1)
| X0 != X3
| k1_xboole_0 = k1_funct_1(X2,X3)
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(cnf_transformation,[],[f21103]) ).
fof(f22456,plain,
! [X2,X0,X1] :
( ~ m1_pboole(X1,X0)
| ~ m1_pboole(X2,X0)
| k1_funct_4(X1,X2) = X2
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f17032]) ).
fof(f22469,plain,
! [X2,X0,X1] :
( a_2_0_closure3(X0,X1) = X2
| k1_closure3(X0,X1) != X2
| ~ m1_pboole(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f21115]) ).
fof(f22471,plain,
~ v1_xboole_0(sK27),
inference(cnf_transformation,[],[f21116]) ).
fof(f22472,plain,
m1_pboole(sK28,sK27),
inference(cnf_transformation,[],[f21116]) ).
fof(f22473,plain,
v2_relat_1(sK28),
inference(cnf_transformation,[],[f21116]) ).
fof(f22474,plain,
sK28 != k1_funct_4(k1_pboole(sK27),k7_relat_1(sK28,k1_closure3(sK27,sK28))),
inference(cnf_transformation,[],[f21116]) ).
fof(f22480,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f17052]) ).
fof(f22556,plain,
! [X0,X1] :
( ~ m1_pboole(X1,X0)
| v1_relat_1(X1) ),
inference(cnf_transformation,[],[f17099]) ).
fof(f22571,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(k1_funct_1(X1,X2))
| v1_xboole_0(X0)
| ~ v2_relat_1(X1)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,X0) ),
inference(cnf_transformation,[],[f17113]) ).
fof(f22873,plain,
! [X0,X1] :
( r2_hidden(sK81(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f21211]) ).
fof(f22874,plain,
! [X0,X1] :
( ~ r2_hidden(sK81(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f21211]) ).
fof(f22948,plain,
! [X2,X0,X1] :
( ~ v1_relat_1(X2)
| ~ r1_tarski(X0,X1)
| k7_relat_1(X2,X0) = k7_relat_1(k7_relat_1(X2,X0),X1) ),
inference(cnf_transformation,[],[f17454]) ).
fof(f23003,plain,
! [X0] : k1_pboole(X0) = k2_funcop_1(X0,k1_xboole_0),
inference(cnf_transformation,[],[f5213]) ).
fof(f23298,plain,
! [X0] : k1_tarski(X0) = k2_tarski(X0,X0),
inference(cnf_transformation,[],[f258]) ).
fof(f23654,plain,
! [X0,X1] : k2_zfmisc_1(X0,k1_tarski(X1)) = k2_funcop_1(X0,X1),
inference(cnf_transformation,[],[f2371]) ).
fof(f23757,plain,
! [X0,X1] :
( ~ m1_pboole(X1,X0)
| k5_relat_1(k6_partfun1(X0),X1) = X1 ),
inference(cnf_transformation,[],[f17961]) ).
fof(f24705,plain,
! [X0,X1] : k2_funcop_1(X0,X1) = k2_pre_circ(X0,X1),
inference(cnf_transformation,[],[f6128]) ).
fof(f24706,plain,
! [X0,X1] : m1_pboole(k2_pre_circ(X0,X1),X0),
inference(cnf_transformation,[],[f6127]) ).
fof(f25085,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f3551]) ).
fof(f25948,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f3384]) ).
fof(f28007,plain,
! [X0] : k6_relat_1(X0) = k6_partfun1(X0),
inference(cnf_transformation,[],[f1636]) ).
fof(f28038,plain,
! [X0,X1] :
( k5_relat_1(k6_relat_1(X0),X1) = k7_relat_1(X1,X0)
| ~ v1_relat_1(X1) ),
inference(cnf_transformation,[],[f20874]) ).
fof(f28333,plain,
! [X0,X1] : k2_funcop_1(X0,X1) = k2_zfmisc_1(X0,k2_tarski(X1,X1)),
inference(definition_unfolding,[],[f23654,f23298]) ).
fof(f28335,plain,
! [X0] : k1_pboole(X0) = k2_zfmisc_1(X0,k2_tarski(np__0,np__0)),
inference(definition_unfolding,[],[f23003,f28333,f25085]) ).
fof(f28339,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,a_2_0_closure3(X1,X2))
| ~ m1_subset_1(X3,X1)
| X0 != X3
| k1_funct_1(X2,X3) = np__0
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(definition_unfolding,[],[f22432,f25085]) ).
fof(f28344,plain,
sK28 != k1_funct_4(k2_zfmisc_1(sK27,k2_tarski(np__0,np__0)),k7_relat_1(sK28,k1_closure3(sK27,sK28))),
inference(definition_unfolding,[],[f22474,f28335]) ).
fof(f29128,plain,
! [X0,X1] : k2_pre_circ(X0,X1) = k2_zfmisc_1(X0,k2_tarski(X1,X1)),
inference(definition_unfolding,[],[f24705,f28333]) ).
fof(f29326,plain,
v1_xboole_0(np__0),
inference(definition_unfolding,[],[f25948,f25085]) ).
fof(f29730,plain,
! [X0,X1] :
( ~ v1_relat_1(X1)
| k7_relat_1(X1,X0) = k5_relat_1(k6_partfun1(X0),X1) ),
inference(definition_unfolding,[],[f28038,f28007]) ).
fof(f29789,plain,
! [X2,X3,X1] :
( ~ m1_pboole(X2,X1)
| ~ m1_subset_1(X3,X1)
| k1_funct_1(X2,X3) = np__0
| v1_xboole_0(X1)
| r2_hidden(X3,a_2_0_closure3(X1,X2)) ),
inference(equality_resolution,[],[f28339]) ).
fof(f29792,plain,
! [X0,X1] :
( ~ m1_pboole(X1,X0)
| k1_closure3(X0,X1) = a_2_0_closure3(X0,X1)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f22469]) ).
fof(f30855,plain,
sK28 != k1_funct_4(k2_pre_circ(sK27,np__0),k7_relat_1(sK28,k1_closure3(sK27,sK28))),
inference(forward_demodulation,[],[f28344,f29128]) ).
fof(f31158,plain,
( k1_closure3(sK27,sK28) = a_2_0_closure3(sK27,sK28)
| v1_xboole_0(sK27) ),
inference(resolution,[],[f29792,f22472]) ).
fof(f31159,plain,
k1_closure3(sK27,sK28) = a_2_0_closure3(sK27,sK28),
inference(forward_subsumption_resolution,[],[f31158,f22471]) ).
fof(f31160,plain,
sK28 != k1_funct_4(k2_pre_circ(sK27,np__0),k7_relat_1(sK28,a_2_0_closure3(sK27,sK28))),
inference(superposition,[],[f30855,f31159]) ).
fof(f31173,plain,
v1_relat_1(sK28),
inference(resolution,[],[f22556,f22472]) ).
fof(f31226,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k7_relat_1(sK28,X0) = k7_relat_1(k7_relat_1(sK28,X0),X1) ),
inference(resolution,[],[f22948,f31173]) ).
fof(f31298,plain,
! [X0] : k7_relat_1(sK28,X0) = k5_relat_1(k6_partfun1(X0),sK28),
inference(resolution,[],[f29730,f31173]) ).
fof(f31306,plain,
! [X0,X1] :
( m1_subset_1(sK81(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(resolution,[],[f22873,f22480]) ).
fof(f31366,plain,
sK28 = k5_relat_1(k6_partfun1(sK27),sK28),
inference(resolution,[],[f23757,f22472]) ).
fof(f31367,plain,
sK28 = k7_relat_1(sK28,sK27),
inference(forward_demodulation,[],[f31366,f31298]) ).
fof(f31565,plain,
! [X0] :
( ~ m1_subset_1(X0,sK27)
| np__0 = k1_funct_1(sK28,X0)
| v1_xboole_0(sK27)
| r2_hidden(X0,a_2_0_closure3(sK27,sK28)) ),
inference(resolution,[],[f29789,f22472]) ).
fof(f31566,plain,
! [X0] :
( ~ m1_subset_1(X0,sK27)
| np__0 = k1_funct_1(sK28,X0)
| r2_hidden(X0,a_2_0_closure3(sK27,sK28)) ),
inference(forward_subsumption_resolution,[],[f31565,f22471]) ).
fof(f31567,plain,
! [X0] :
( r2_hidden(sK81(sK27,X0),a_2_0_closure3(sK27,sK28))
| np__0 = k1_funct_1(sK28,sK81(sK27,X0))
| r1_tarski(sK27,X0) ),
inference(resolution,[],[f31566,f31306]) ).
fof(f31670,plain,
( np__0 = k1_funct_1(sK28,sK81(sK27,a_2_0_closure3(sK27,sK28)))
| r1_tarski(sK27,a_2_0_closure3(sK27,sK28))
| r1_tarski(sK27,a_2_0_closure3(sK27,sK28)) ),
inference(resolution,[],[f31567,f22874]) ).
fof(f31672,plain,
( np__0 = k1_funct_1(sK28,sK81(sK27,a_2_0_closure3(sK27,sK28)))
| r1_tarski(sK27,a_2_0_closure3(sK27,sK28)) ),
inference(duplicate_literal_removal,[],[f31670]) ).
fof(f31674,definition,
( spl822_27
<=> r1_tarski(sK27,a_2_0_closure3(sK27,sK28)) ),
introduced(definition,[new_symbols(definition,[spl822_27])],[avatar_definition]) ).
fof(f31675,plain,
( r1_tarski(sK27,a_2_0_closure3(sK27,sK28))
| ~ spl822_27 ),
inference(avatar_component_clause,[],[f31674]) ).
fof(f31677,definition,
( spl822_28
<=> np__0 = k1_funct_1(sK28,sK81(sK27,a_2_0_closure3(sK27,sK28))) ),
introduced(definition,[new_symbols(definition,[spl822_28])],[avatar_definition]) ).
fof(f31678,plain,
( np__0 = k1_funct_1(sK28,sK81(sK27,a_2_0_closure3(sK27,sK28)))
| ~ spl822_28 ),
inference(avatar_component_clause,[],[f31677]) ).
fof(f31679,plain,
( spl822_27
| spl822_28 ),
inference(avatar_split_clause,[],[f31672,f31677,f31674]) ).
fof(f31684,plain,
( k7_relat_1(sK28,sK27) = k7_relat_1(k7_relat_1(sK28,sK27),a_2_0_closure3(sK27,sK28))
| ~ spl822_27 ),
inference(resolution,[],[f31675,f31226]) ).
fof(f31693,plain,
( sK28 = k7_relat_1(sK28,a_2_0_closure3(sK27,sK28))
| ~ spl822_27 ),
inference(forward_demodulation,[],[f31684,f31367]) ).
fof(f31696,plain,
( sK28 != k1_funct_4(k2_pre_circ(sK27,np__0),sK28)
| ~ spl822_27 ),
inference(superposition,[],[f31160,f31693]) ).
fof(f32170,plain,
( $false
| ~ spl822_27 ),
inference(unit_resulting_resolution,[],[f22456,f22471,f22472,f31696,f24706]) ).
fof(f32186,plain,
~ spl822_27,
inference(avatar_contradiction_clause,[],[f32170]) ).
fof(f33124,plain,
( ! [X0] :
( ~ v1_xboole_0(np__0)
| v1_xboole_0(X0)
| ~ v2_relat_1(sK28)
| ~ m1_pboole(sK28,X0)
| ~ m1_subset_1(sK81(sK27,a_2_0_closure3(sK27,sK28)),X0) )
| ~ spl822_28 ),
inference(superposition,[],[f22571,f31678]) ).
fof(f33125,plain,
( ! [X0] :
( v1_xboole_0(X0)
| ~ v2_relat_1(sK28)
| ~ m1_pboole(sK28,X0)
| ~ m1_subset_1(sK81(sK27,a_2_0_closure3(sK27,sK28)),X0) )
| ~ spl822_28 ),
inference(forward_subsumption_resolution,[],[f33124,f29326]) ).
fof(f33126,plain,
( ! [X0] :
( ~ m1_pboole(sK28,X0)
| v1_xboole_0(X0)
| ~ m1_subset_1(sK81(sK27,a_2_0_closure3(sK27,sK28)),X0) )
| ~ spl822_28 ),
inference(forward_subsumption_resolution,[],[f33125,f22473]) ).
fof(f33127,plain,
( v1_xboole_0(sK27)
| ~ m1_subset_1(sK81(sK27,a_2_0_closure3(sK27,sK28)),sK27)
| ~ spl822_28 ),
inference(resolution,[],[f33126,f22472]) ).
fof(f33128,plain,
( ~ m1_subset_1(sK81(sK27,a_2_0_closure3(sK27,sK28)),sK27)
| ~ spl822_28 ),
inference(forward_subsumption_resolution,[],[f33127,f22471]) ).
fof(f33129,plain,
( r1_tarski(sK27,a_2_0_closure3(sK27,sK28))
| ~ spl822_28 ),
inference(resolution,[],[f33128,f31306]) ).
fof(f33130,plain,
( spl822_27
| ~ spl822_28 ),
inference(avatar_split_clause,[],[f33129,f31677,f31674]) ).
cnf(s22,plain,
( spl822_27
| spl822_28 ),
inference(sat_conversion,[],[f31679]) ).
cnf(s24,plain,
~ spl822_27,
inference(sat_conversion,[],[f32186]) ).
cnf(s29,plain,
( spl822_27
| ~ spl822_28 ),
inference(sat_conversion,[],[f33130]) ).
cnf(s30,plain,
~ spl822_28,
inference(rat,[],[s29,s24]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s22,s30,s24]) ).
fof(f33131,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG225+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n017.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 19:46:23 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 13.27/3.39 % (3945840)Detected formulas, will run a generic FOF schedule.
% 13.27/3.39 % (3945846)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=3325545045:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 13.27/3.39 % (3945845)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=398423841:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 13.27/3.39 % (3945850)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1043754330:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 13.27/3.39 % (3945847)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=2479802422:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 13.27/3.39 % (3945849)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3499867235:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 13.27/3.39 % (3945851)dis-21_1_sil=8000:lcm=predicate:random_seed=2560023276:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2990 on theBenchmark for (2990ds/129Mi)
% 13.27/3.39 % (3945848)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2143243962:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 13.27/3.39 % (3945850)Instruction limit reached!
% 13.27/3.39 % (3945850)------------------------------
% 13.27/3.39 % (3945850)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.27/3.39 % (3945850)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.27/3.39 % (3945850)CaDiCaL version: 2.1.3
% 13.27/3.39 % (3945850)Termination reason: Instruction limit
% 13.27/3.39 % (3945850)Termination phase: Property scanning
% 13.27/3.39 % (3945850)Time elapsed: 0.060 s
% 13.27/3.39 % (3945850)Peak memory usage: 108 MB
% 13.27/3.39 % (3945850)Instructions burned: 141 (million)
% 13.27/3.39 % (3945851)Instruction limit reached!
% 13.27/3.39 % (3945851)------------------------------
% 13.27/3.39 % (3945851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.27/3.39 % (3945851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.27/3.39 % (3945851)CaDiCaL version: 2.1.3
% 13.27/3.39 % (3945851)Termination reason: Instruction limit
% 13.27/3.39 % (3945851)Termination phase: SInE selection
% 13.27/3.39 % (3945851)Time elapsed: 0.083 s
% 13.27/3.39 % (3945851)Peak memory usage: 108 MB
% 13.27/3.39 % (3945851)Instructions burned: 129 (million)
% 13.27/3.39 % (3945848)Instruction limit reached!
% 13.27/3.39 % (3945848)------------------------------
% 13.27/3.39 % (3945848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.27/3.39 % (3945848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.27/3.39 % (3945848)CaDiCaL version: 2.1.3
% 13.27/3.39 % (3945848)Termination reason: Instruction limit
% 13.27/3.39 % (3945848)Termination phase: Blocked clause elimination
% 13.27/3.39 % (3945848)Time elapsed: 0.088 s
% 13.27/3.39 % (3945848)Peak memory usage: 110 MB
% 13.27/3.39 % (3945848)Instructions burned: 110 (million)
% 13.27/3.39 % (3945849)Instruction limit reached!
% 13.27/3.39 % (3945849)------------------------------
% 13.27/3.39 % (3945849)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.27/3.39 % (3945849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.27/3.39 % (3945849)CaDiCaL version: 2.1.3
% 13.27/3.39 % (3945849)Termination reason: Instruction limit
% 13.27/3.39 % (3945849)Termination phase: Preprocessing 3
% 13.27/3.39 % (3945849)Time elapsed: 0.098 s
% 13.27/3.39 % (3945849)Peak memory usage: 110 MB
% 13.27/3.39 % (3945849)Instructions burned: 120 (million)
% 13.27/3.39 % (3945859)lrs+10_1_sil=8000:sp=occurrence:random_seed=2422817922:i=285:sd=3:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/285Mi)
% 13.27/3.39 % (3945860)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2003516015:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 13.27/3.39 % (3945861)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1459019806:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 13.27/3.39 % (3945862)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=504952186:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 13.27/3.39 % (3945860)Instruction limit reached!
% 13.27/3.39 % (3945860)------------------------------
% 13.27/3.39 % (3945860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.27/3.39 % (3945860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.27/3.39 % (3945860)CaDiCaL version: 2.1.3
% 13.27/3.39 % (3945860)Termination reason: Instruction limit
% 13.27/3.39 % (3945860)Termination phase: Property scanning
% 13.27/3.39 % (3945860)Time elapsed: 0.067 s
% 13.27/3.39 % (3945860)Peak memory usage: 108 MB
% 13.27/3.39 % (3945860)Instructions burned: 159 (million)
% 13.27/3.39 % (3945862)Instruction limit reached!
% 13.27/3.39 % (3945862)------------------------------
% 13.27/3.39 % (3945862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.27/3.39 % (3945862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.27/3.39 % (3945862)CaDiCaL version: 2.1.3
% 13.27/3.39 % (3945862)Termination reason: Instruction limit
% 13.27/3.39 % (3945862)Termination phase: SInE selection
% 13.27/3.39 % (3945862)Time elapsed: 0.113 s
% 13.27/3.39 % (3945862)Peak memory usage: 108 MB
% 13.27/3.39 % (3945862)Instructions burned: 249 (million)
% 13.27/3.39 % (3945859)Instruction limit reached!
% 13.27/3.39 % (3945859)------------------------------
% 13.27/3.39 % (3945859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.27/3.39 % (3945859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.27/3.39 % (3945859)CaDiCaL version: 2.1.3
% 13.27/3.39 % (3945859)Termination reason: Instruction limit
% 13.27/3.39 % (3945859)Termination phase: Saturation
% 13.27/3.39 % (3945859)Time elapsed: 0.202 s
% 13.27/3.39 % (3945859)Peak memory usage: 116 MB
% 13.27/3.39 % (3945859)Instructions burned: 285 (million)
% 13.27/3.39 % (3945867)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3331178508:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 13.27/3.39 % (3945861)Instruction limit reached!
% 13.27/3.39 % (3945861)------------------------------
% 13.27/3.39 % (3945861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.27/3.39 % (3945861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.27/3.39 % (3945861)CaDiCaL version: 2.1.3
% 13.27/3.39 % (3945861)Termination reason: Instruction limit
% 13.27/3.39 % (3945861)Termination phase: Saturation
% 13.27/3.39 % (3945861)Time elapsed: 0.248 s
% 13.27/3.39 % (3945861)Peak memory usage: 116 MB
% 13.27/3.39 % (3945861)Instructions burned: 326 (million)
% 13.27/3.39 % (3945868)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=425123888:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 13.27/3.39 % (3945869)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2397446333:cts=off:i=113:fsr=off:ss=included:sgt=4_2985 on theBenchmark for (2985ds/113Mi)
% 13.27/3.39 % (3945867)Instruction limit reached!
% 13.27/3.39 % (3945867)------------------------------
% 13.27/3.39 % (3945867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.27/3.39 % (3945867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.27/3.39 % (3945867)CaDiCaL version: 2.1.3
% 13.27/3.39 % (3945867)Termination reason: Instruction limit
% 13.27/3.39 % (3945867)Termination phase: Saturation
% 13.27/3.39 % (3945867)Time elapsed: 0.198 s
% 13.27/3.39 % (3945867)Peak memory usage: 114 MB
% 13.27/3.39 % (3945867)Instructions burned: 295 (million)
% 13.27/3.39 % (3945874)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1368829805:i=127:av=off:fsr=off:sup=off_2984 on theBenchmark for (2984ds/127Mi)
% 13.27/3.39 % (3945869)Instruction limit reached!
% 13.27/3.39 % (3945869)------------------------------
% 13.27/3.39 % (3945869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.27/3.39 % (3945869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.27/3.39 % (3945869)CaDiCaL version: 2.1.3
% 13.27/3.39 % (3945869)Termination reason: Instruction limit
% 13.27/3.39 % (3945869)Termination phase: Preprocessing 1
% 13.27/3.39 % (3945869)Time elapsed: 0.096 s
% 13.27/3.39 % (3945869)Peak memory usage: 109 MB
% 13.27/3.39 % (3945869)Instructions burned: 113 (million)
% 13.27/3.39 % (3945874)Instruction limit reached!
% 13.27/3.39 % (3945874)------------------------------
% 13.27/3.39 % (3945874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.27/3.39 % (3945874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.27/3.39 % (3945874)CaDiCaL version: 2.1.3
% 13.27/3.39 % (3945874)Termination reason: Instruction limit
% 13.27/3.39 % (3945874)Termination phase: Preprocessing 1
% 13.27/3.39 % (3945874)Time elapsed: 0.092 s
% 13.27/3.39 % (3945874)Peak memory usage: 108 MB
% 13.27/3.39 % (3945874)Instructions burned: 127 (million)
% 13.27/3.39 % (3945878)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1588259272:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2982 on theBenchmark for (2982ds/114Mi)
% 13.27/3.39 % (3945880)lrs+10_1_sil=8000:sp=occurrence:random_seed=45790490:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2982 on theBenchmark for (2982ds/907Mi)
% 13.27/3.39 % (3945878)Instruction limit reached!
% 13.27/3.39 % (3945878)------------------------------
% 13.27/3.39 % (3945878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.27/3.39 % (3945878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.27/3.39 % (3945878)CaDiCaL version: 2.1.3
% 13.27/3.39 % (3945878)Termination reason: Instruction limit
% 13.27/3.39 % (3945878)Termination phase: Property scanning
% 13.27/3.39 % (3945878)Time elapsed: 0.050 s
% 13.27/3.39 % (3945878)Peak memory usage: 108 MB
% 13.27/3.39 % (3945878)Instructions burned: 116 (million)
% 13.27/3.39 % (3945881)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=800845895:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 13.27/3.39 % (3945884)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=312512913:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 13.27/3.39 % (3945881)Instruction limit reached!
% 13.27/3.39 % (3945881)------------------------------
% 13.27/3.39 % (3945881)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.27/3.39 % (3945881)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.27/3.39 % (3945881)CaDiCaL version: 2.1.3
% 13.27/3.39 % (3945881)Termination reason: Instruction limit
% 13.27/3.39 % (3945881)Termination phase: Saturation
% 13.27/3.39 % (3945881)Time elapsed: 0.297 s
% 13.27/3.39 % (3945881)Peak memory usage: 116 MB
% 13.27/3.39 % (3945881)Instructions burned: 437 (million)
% 13.27/3.39 % (3945880)Instruction limit reached!
% 13.27/3.39 % (3945880)------------------------------
% 13.27/3.39 % (3945880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.27/3.39 % (3945880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.27/3.39 % (3945880)CaDiCaL version: 2.1.3
% 13.27/3.39 % (3945880)Termination reason: Instruction limit
% 13.27/3.39 % (3945880)Termination phase: Saturation
% 13.27/3.39 % (3945880)Time elapsed: 0.531 s
% 13.27/3.39 % (3945880)Peak memory usage: 126 MB
% 13.27/3.39 % (3945880)Instructions burned: 907 (million)
% 13.27/3.39 % (3945887)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2133626458:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2977 on theBenchmark for (2977ds/134Mi)
% 13.27/3.39 % (3945846)First to succeed.
% 13.27/3.39 % (3945846)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3945840"
% 13.27/3.39 % (3945887)Instruction limit reached!
% 13.27/3.39 % (3945887)------------------------------
% 13.27/3.39 % (3945887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.27/3.39 % (3945887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.27/3.39 % (3945887)CaDiCaL version: 2.1.3
% 13.27/3.39 % (3945887)Termination reason: Instruction limit
% 13.27/3.39 % (3945887)Termination phase: Property scanning
% 13.27/3.39 % (3945887)Time elapsed: 0.115 s
% 13.27/3.39 % (3945887)Peak memory usage: 111 MB
% 13.27/3.39 % (3945887)Instructions burned: 136 (million)
% 13.27/3.39 % (3945888)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2109354505:st=8:i=592:sd=3:ep=RST:ss=axioms_2975 on theBenchmark for (2975ds/592Mi)
% 13.27/3.39 % (3945846)Refutation found. Thanks to Tanya!
% 13.27/3.39 % SZS status Theorem for theBenchmark
% 13.27/3.39 % SZS output start Proof for theBenchmark
% See solution above
% 14.17/3.59 % (3945846)------------------------------
% 14.17/3.59 % (3945846)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.17/3.59 % (3945846)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.17/3.59 % (3945846)CaDiCaL version: 2.1.3
% 14.17/3.59 % (3945846)Termination reason: Refutation
% 14.17/3.59 % (3945846)Time elapsed: 1.491 s
% 14.17/3.59 % (3945846)Peak memory usage: 240 MB
% 14.17/3.59 % (3945846)Instructions burned: 4204 (million)
% 14.17/3.59 % (3945846)------------------------------
% 14.17/3.59 % (3945846)------------------------------
% 14.17/3.59 % (3945840)Success in time 2.704 s
% 14.17/3.59 % Vampire exiting
%------------------------------------------------------------------------------