%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG231+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:19:30 AM UTC 2026
% Result : Theorem 29.77s 5.90s
% Output : Refutation 34.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 20
% Syntax : Number of formulae : 123 ( 56 unt; 0 def)
% Number of atoms : 345 ( 70 equ)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 373 ( 151 ~; 146 |; 48 &)
% ( 3 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 5 con; 0-4 aty)
% Number of variables : 272 ( 261 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f57,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f97,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> k3_xboole_0(X0,X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_xboole_1) ).
fof(f108,axiom,
! [X0,X1] : k2_xboole_0(X0,k4_xboole_0(X1,X0)) = k2_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_xboole_1) ).
fof(f117,axiom,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f120,axiom,
! [X0,X1] : k2_xboole_0(k3_xboole_0(X0,X1),k4_xboole_0(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_xboole_1) ).
fof(f281,axiom,
! [X0,X1] : k3_tarski(k2_tarski(X0,X1)) = k2_xboole_0(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t93_zfmisc_1) ).
fof(f2598,axiom,
! [X0,X1] : k10_finseq_1(X0,X1) = k7_finseq_1(k9_finseq_1(X0),k9_finseq_1(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_finseq_1) ).
fof(f2601,axiom,
! [X0] : k9_finseq_1(X0) = k1_tarski(k4_tarski(np__1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_finseq_1) ).
fof(f2753,axiom,
! [X0] : k2_finseq_2(np__1,X0) = k9_finseq_1(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t73_finseq_2) ).
fof(f2823,axiom,
! [X0,X1] : k2_relat_1(k10_finseq_1(X0,X1)) = k2_tarski(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t147_finseq_2) ).
fof(f2988,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_pboole(X2,X0)
=> ! [X3] :
( m1_pboole(X3,X0)
=> ( r6_pboole(X0,X1,k2_pboole(X0,X2,X3))
<=> ( r2_pboole(X0,X2,X1)
& r2_pboole(X0,X3,X1)
& ! [X4] :
( m1_pboole(X4,X0)
=> ( ( r2_pboole(X0,X2,X4)
& r2_pboole(X0,X3,X4) )
=> r2_pboole(X0,X1,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t28_pboole) ).
fof(f3137,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m4_pboole(X2,X0,X1)
=> m1_pboole(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m4_pboole) ).
fof(f4608,axiom,
! [X0,X1,X2] :
( m1_pboole(X2,X0)
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X2)))
=> m1_subset_1(k4_xboole_0(X3,X1),k1_zfmisc_1(k1_closure2(X0,X2))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_closure2) ).
fof(f4680,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> k6_closure2(X0,X1) = k1_closure2(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_closure2) ).
fof(f4711,axiom,
! [X0,X1,X2] :
( ( m1_pboole(X1,X0)
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
=> m4_pboole(k2_closure3(X0,X1,X2),X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_closure3) ).
fof(f4713,axiom,
! [X0,X1,X2,X3] :
( ( m1_pboole(X1,X0)
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
=> k3_closure3(X0,X1,X2,X3) = k3_closure3(X0,X1,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_closure3) ).
fof(f4715,axiom,
! [X0,X1,X2,X3] :
( ( m1_pboole(X1,X0)
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
=> k3_closure3(X0,X1,X2,X3) = k2_xboole_0(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k3_closure3) ).
fof(f4737,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
=> r6_pboole(X0,k2_closure3(X0,X1,k3_closure3(X0,X1,X2,X3)),k2_pboole(X0,k2_closure3(X0,X1,X2),k2_closure3(X0,X1,X3))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t11_closure3) ).
fof(f4738,conjecture,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ( r1_tarski(X2,X3)
=> r2_pboole(X0,k2_closure3(X0,X1,X2),k2_closure3(X0,X1,X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_closure3) ).
fof(f4739,negated_conjecture,
~ ! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
=> ( r1_tarski(X2,X3)
=> r2_pboole(X0,k2_closure3(X0,X1,X2),k2_closure3(X0,X1,X3)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f4738]) ).
fof(f4781,plain,
! [X0,X1,X2] :
( m4_pboole(k2_closure3(X0,X1,X2),X0,X1)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(ennf_transformation,[],[f4711]) ).
fof(f4782,plain,
! [X0,X1,X2] :
( m4_pboole(k2_closure3(X0,X1,X2),X0,X1)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(flattening,[],[f4781]) ).
fof(f4785,plain,
! [X0,X1,X2,X3] :
( k3_closure3(X0,X1,X2,X3) = k3_closure3(X0,X1,X3,X2)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(ennf_transformation,[],[f4713]) ).
fof(f4786,plain,
! [X0,X1,X2,X3] :
( k3_closure3(X0,X1,X2,X3) = k3_closure3(X0,X1,X3,X2)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(flattening,[],[f4785]) ).
fof(f4789,plain,
! [X0,X1,X2,X3] :
( k3_closure3(X0,X1,X2,X3) = k2_xboole_0(X2,X3)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(ennf_transformation,[],[f4715]) ).
fof(f4790,plain,
! [X0,X1,X2,X3] :
( k3_closure3(X0,X1,X2,X3) = k2_xboole_0(X2,X3)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(flattening,[],[f4789]) ).
fof(f4827,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( r6_pboole(X0,k2_closure3(X0,X1,k3_closure3(X0,X1,X2,X3)),k2_pboole(X0,k2_closure3(X0,X1,X2),k2_closure3(X0,X1,X3)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f4737]) ).
fof(f4828,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_pboole(X0,k2_closure3(X0,X1,X2),k2_closure3(X0,X1,X3))
& r1_tarski(X2,X3)
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f4739]) ).
fof(f4829,plain,
? [X0,X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_pboole(X0,k2_closure3(X0,X1,X2),k2_closure3(X0,X1,X3))
& r1_tarski(X2,X3)
& m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) )
& m1_pboole(X1,X0) ),
inference(flattening,[],[f4828]) ).
fof(f4870,plain,
! [X0,X1,X2] :
( ! [X3] :
( m1_subset_1(k4_xboole_0(X3,X1),k1_zfmisc_1(k1_closure2(X0,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X2))) )
| ~ m1_pboole(X2,X0) ),
inference(ennf_transformation,[],[f4608]) ).
fof(f4872,plain,
! [X0,X1] :
( k6_closure2(X0,X1) = k1_closure2(X0,X1)
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f4680]) ).
fof(f4881,plain,
! [X0,X1] :
( ! [X2] :
( m1_pboole(X2,X0)
| ~ m4_pboole(X2,X0,X1) )
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f3137]) ).
fof(f4931,plain,
! [X0,X1] :
( k3_xboole_0(X0,X1) = X0
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f97]) ).
fof(f5400,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( r6_pboole(X0,X1,k2_pboole(X0,X2,X3))
<=> ( r2_pboole(X0,X2,X1)
& r2_pboole(X0,X3,X1)
& ! [X4] :
( r2_pboole(X0,X1,X4)
| ~ r2_pboole(X0,X2,X4)
| ~ r2_pboole(X0,X3,X4)
| ~ m1_pboole(X4,X0) ) ) )
| ~ m1_pboole(X3,X0) )
| ~ m1_pboole(X2,X0) )
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f2988]) ).
fof(f5401,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( r6_pboole(X0,X1,k2_pboole(X0,X2,X3))
<=> ( r2_pboole(X0,X2,X1)
& r2_pboole(X0,X3,X1)
& ! [X4] :
( r2_pboole(X0,X1,X4)
| ~ r2_pboole(X0,X2,X4)
| ~ r2_pboole(X0,X3,X4)
| ~ m1_pboole(X4,X0) ) ) )
| ~ m1_pboole(X3,X0) )
| ~ m1_pboole(X2,X0) )
| ~ m1_pboole(X1,X0) ),
inference(flattening,[],[f5400]) ).
fof(f7824,plain,
( ~ r2_pboole(sK18,k2_closure3(sK18,sK19,sK20),k2_closure3(sK18,sK19,sK21))
& r1_tarski(sK20,sK21)
& m1_subset_1(sK21,k1_zfmisc_1(k1_closure2(sK18,sK19)))
& m1_subset_1(sK20,k1_zfmisc_1(k1_closure2(sK18,sK19)))
& m1_pboole(sK19,sK18) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21]),skolemize(X0,sK18),skolemize(X1,sK19),skolemize(X2,sK20),skolemize(X3,sK21)],[f4829]) ).
fof(f8014,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r6_pboole(X0,X1,k2_pboole(X0,X2,X3))
| ~ r2_pboole(X0,X2,X1)
| ~ r2_pboole(X0,X3,X1)
| ? [X4] :
( ~ r2_pboole(X0,X1,X4)
& r2_pboole(X0,X2,X4)
& r2_pboole(X0,X3,X4)
& m1_pboole(X4,X0) ) )
& ( ( r2_pboole(X0,X2,X1)
& r2_pboole(X0,X3,X1)
& ! [X4] :
( r2_pboole(X0,X1,X4)
| ~ r2_pboole(X0,X2,X4)
| ~ r2_pboole(X0,X3,X4)
| ~ m1_pboole(X4,X0) ) )
| ~ r6_pboole(X0,X1,k2_pboole(X0,X2,X3)) ) )
| ~ m1_pboole(X3,X0) )
| ~ m1_pboole(X2,X0) )
| ~ m1_pboole(X1,X0) ),
inference(nnf_transformation,[],[f5401]) ).
fof(f8015,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r6_pboole(X0,X1,k2_pboole(X0,X2,X3))
| ~ r2_pboole(X0,X2,X1)
| ~ r2_pboole(X0,X3,X1)
| ? [X4] :
( ~ r2_pboole(X0,X1,X4)
& r2_pboole(X0,X2,X4)
& r2_pboole(X0,X3,X4)
& m1_pboole(X4,X0) ) )
& ( ( r2_pboole(X0,X2,X1)
& r2_pboole(X0,X3,X1)
& ! [X4] :
( r2_pboole(X0,X1,X4)
| ~ r2_pboole(X0,X2,X4)
| ~ r2_pboole(X0,X3,X4)
| ~ m1_pboole(X4,X0) ) )
| ~ r6_pboole(X0,X1,k2_pboole(X0,X2,X3)) ) )
| ~ m1_pboole(X3,X0) )
| ~ m1_pboole(X2,X0) )
| ~ m1_pboole(X1,X0) ),
inference(flattening,[],[f8014]) ).
fof(f8016,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r6_pboole(X0,X1,k2_pboole(X0,X2,X3))
| ~ r2_pboole(X0,X2,X1)
| ~ r2_pboole(X0,X3,X1)
| ? [X4] :
( ~ r2_pboole(X0,X1,X4)
& r2_pboole(X0,X2,X4)
& r2_pboole(X0,X3,X4)
& m1_pboole(X4,X0) ) )
& ( ( r2_pboole(X0,X2,X1)
& r2_pboole(X0,X3,X1)
& ! [X5] :
( r2_pboole(X0,X1,X5)
| ~ r2_pboole(X0,X2,X5)
| ~ r2_pboole(X0,X3,X5)
| ~ m1_pboole(X5,X0) ) )
| ~ r6_pboole(X0,X1,k2_pboole(X0,X2,X3)) ) )
| ~ m1_pboole(X3,X0) )
| ~ m1_pboole(X2,X0) )
| ~ m1_pboole(X1,X0) ),
inference(rectify,[],[f8015]) ).
fof(f8017,plain,
! [X0,X1] :
( ! [X2] :
( ! [X3] :
( ( ( r6_pboole(X0,X1,k2_pboole(X0,X2,X3))
| ~ r2_pboole(X0,X2,X1)
| ~ r2_pboole(X0,X3,X1)
| ( ~ r2_pboole(X0,X1,sK135(X0,X1,X2,X3))
& r2_pboole(X0,X2,sK135(X0,X1,X2,X3))
& r2_pboole(X0,X3,sK135(X0,X1,X2,X3))
& m1_pboole(sK135(X0,X1,X2,X3),X0) ) )
& ( ( r2_pboole(X0,X2,X1)
& r2_pboole(X0,X3,X1)
& ! [X5] :
( r2_pboole(X0,X1,X5)
| ~ r2_pboole(X0,X2,X5)
| ~ r2_pboole(X0,X3,X5)
| ~ m1_pboole(X5,X0) ) )
| ~ r6_pboole(X0,X1,k2_pboole(X0,X2,X3)) ) )
| ~ m1_pboole(X3,X0) )
| ~ m1_pboole(X2,X0) )
| ~ m1_pboole(X1,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK135]),skolemize(X4,sK135(X0,X1,X2,X3))],[f8016]) ).
fof(f8797,plain,
! [X2,X0,X1] :
( m4_pboole(k2_closure3(X0,X1,X2),X0,X1)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(cnf_transformation,[],[f4782]) ).
fof(f8799,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| k3_closure3(X0,X1,X2,X3) = k3_closure3(X0,X1,X3,X2) ),
inference(cnf_transformation,[],[f4786]) ).
fof(f8801,plain,
! [X2,X3,X0,X1] :
( k2_xboole_0(X2,X3) = k3_closure3(X0,X1,X2,X3)
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(cnf_transformation,[],[f4790]) ).
fof(f8841,plain,
! [X2,X3,X0,X1] :
( ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| r6_pboole(X0,k2_closure3(X0,X1,k3_closure3(X0,X1,X2,X3)),k2_pboole(X0,k2_closure3(X0,X1,X2),k2_closure3(X0,X1,X3))) ),
inference(cnf_transformation,[],[f4827]) ).
fof(f8842,plain,
m1_pboole(sK19,sK18),
inference(cnf_transformation,[],[f7824]) ).
fof(f8844,plain,
m1_subset_1(sK21,k1_zfmisc_1(k1_closure2(sK18,sK19))),
inference(cnf_transformation,[],[f7824]) ).
fof(f8845,plain,
r1_tarski(sK20,sK21),
inference(cnf_transformation,[],[f7824]) ).
fof(f8846,plain,
~ r2_pboole(sK18,k2_closure3(sK18,sK19,sK20),k2_closure3(sK18,sK19,sK21)),
inference(cnf_transformation,[],[f7824]) ).
fof(f8902,plain,
! [X2,X3,X0,X1] :
( ~ m1_pboole(X2,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X2)))
| m1_subset_1(k4_xboole_0(X3,X1),k1_zfmisc_1(k1_closure2(X0,X2))) ),
inference(cnf_transformation,[],[f4870]) ).
fof(f8907,plain,
! [X0,X1] :
( ~ m1_pboole(X1,X0)
| k1_closure2(X0,X1) = k6_closure2(X0,X1) ),
inference(cnf_transformation,[],[f4872]) ).
fof(f8927,plain,
! [X2,X0,X1] :
( ~ m1_pboole(X1,X0)
| ~ m4_pboole(X2,X0,X1)
| m1_pboole(X2,X0) ),
inference(cnf_transformation,[],[f4881]) ).
fof(f8968,plain,
! [X0,X1] : k2_xboole_0(k3_xboole_0(X0,X1),k4_xboole_0(X0,X1)) = X0,
inference(cnf_transformation,[],[f120]) ).
fof(f8976,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k4_xboole_0(X1,X0)),
inference(cnf_transformation,[],[f108]) ).
fof(f9001,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f54]) ).
fof(f9028,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f9030,plain,
! [X0,X1] :
( k3_xboole_0(X0,X1) = X0
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f4931]) ).
fof(f9042,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f9497,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k3_tarski(k2_tarski(X0,X1)),
inference(cnf_transformation,[],[f281]) ).
fof(f9653,plain,
! [X2,X3,X0,X1] :
( ~ r6_pboole(X0,X1,k2_pboole(X0,X2,X3))
| r2_pboole(X0,X2,X1)
| ~ m1_pboole(X3,X0)
| ~ m1_pboole(X2,X0)
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f8017]) ).
fof(f11205,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_relat_1(k10_finseq_1(X0,X1)),
inference(cnf_transformation,[],[f2823]) ).
fof(f11860,plain,
! [X0] : k1_tarski(k4_tarski(np__1,X0)) = k9_finseq_1(X0),
inference(cnf_transformation,[],[f2601]) ).
fof(f11861,plain,
! [X0,X1] : k10_finseq_1(X0,X1) = k7_finseq_1(k9_finseq_1(X0),k9_finseq_1(X1)),
inference(cnf_transformation,[],[f2598]) ).
fof(f12097,plain,
! [X0] : k9_finseq_1(X0) = k2_finseq_2(np__1,X0),
inference(cnf_transformation,[],[f2753]) ).
fof(f12962,plain,
! [X0,X1] : k10_finseq_1(X0,X1) = k7_finseq_1(k1_tarski(k4_tarski(np__1,X0)),k1_tarski(k4_tarski(np__1,X1))),
inference(definition_unfolding,[],[f11861,f11860,f11860]) ).
fof(f12963,plain,
! [X0,X1] : k2_tarski(X0,X1) = k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,X0)),k1_tarski(k4_tarski(np__1,X1)))),
inference(definition_unfolding,[],[f11205,f12962]) ).
fof(f12964,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k3_tarski(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,X0)),k1_tarski(k4_tarski(np__1,X1))))),
inference(definition_unfolding,[],[f9497,f12963]) ).
fof(f12971,plain,
! [X2,X3,X0,X1] :
( k3_closure3(X0,X1,X2,X3) = k3_tarski(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,X2)),k1_tarski(k4_tarski(np__1,X3)))))
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(definition_unfolding,[],[f8801,f12964]) ).
fof(f13014,plain,
! [X0,X1] : k3_tarski(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,k4_xboole_0(X0,k4_xboole_0(X0,X1)))),k1_tarski(k4_tarski(np__1,k4_xboole_0(X0,X1)))))) = X0,
inference(definition_unfolding,[],[f8968,f12964,f9028]) ).
fof(f13022,plain,
! [X0,X1] : k3_tarski(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,X0)),k1_tarski(k4_tarski(np__1,X1))))) = k3_tarski(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,X0)),k1_tarski(k4_tarski(np__1,k4_xboole_0(X1,X0)))))),
inference(definition_unfolding,[],[f8976,f12964,f12964]) ).
fof(f13047,plain,
! [X0,X1] : k3_tarski(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,X0)),k1_tarski(k4_tarski(np__1,X1))))) = k3_tarski(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,X1)),k1_tarski(k4_tarski(np__1,X0))))),
inference(definition_unfolding,[],[f9001,f12964,f12964]) ).
fof(f13075,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| k4_xboole_0(X0,k4_xboole_0(X0,X1)) = X0 ),
inference(definition_unfolding,[],[f9030,f9028]) ).
fof(f13087,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k4_xboole_0(X1,k4_xboole_0(X1,X0)),
inference(definition_unfolding,[],[f9042,f9028,f9028]) ).
fof(f13966,plain,
! [X0] : k1_tarski(k4_tarski(np__1,X0)) = k2_finseq_2(np__1,X0),
inference(definition_unfolding,[],[f12097,f11860]) ).
fof(f15100,plain,
! [X0,X1] : k3_tarski(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,X1)),k2_finseq_2(np__1,X0)))) = k3_tarski(k2_relat_1(k7_finseq_1(k2_finseq_2(np__1,X0),k1_tarski(k4_tarski(np__1,X1))))),
inference(forward_demodulation,[],[f13047,f13966]) ).
fof(f15125,plain,
! [X0,X1] : k3_tarski(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,X0)),k1_tarski(k4_tarski(np__1,X1))))) = k3_tarski(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,X0)),k2_finseq_2(np__1,k4_xboole_0(X1,X0))))),
inference(forward_demodulation,[],[f13022,f13966]) ).
fof(f15133,plain,
! [X0,X1] : k3_tarski(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,k4_xboole_0(X0,k4_xboole_0(X0,X1)))),k2_finseq_2(np__1,k4_xboole_0(X0,X1))))) = X0,
inference(forward_demodulation,[],[f13014,f13966]) ).
fof(f15170,plain,
! [X2,X3,X0,X1] :
( k3_closure3(X0,X1,X2,X3) = k3_tarski(k2_relat_1(k7_finseq_1(k1_tarski(k4_tarski(np__1,X2)),k2_finseq_2(np__1,X3))))
| ~ m1_pboole(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(forward_demodulation,[],[f12971,f13966]) ).
fof(f15417,plain,
! [X0,X1] : k3_tarski(k2_relat_1(k7_finseq_1(k2_finseq_2(np__1,X0),k2_finseq_2(np__1,X1)))) = k3_tarski(k2_relat_1(k7_finseq_1(k2_finseq_2(np__1,X1),k2_finseq_2(np__1,X0)))),
inference(forward_demodulation,[],[f15100,f13966]) ).
fof(f15442,plain,
! [X0,X1] : k3_tarski(k2_relat_1(k7_finseq_1(k2_finseq_2(np__1,X0),k1_tarski(k4_tarski(np__1,X1))))) = k3_tarski(k2_relat_1(k7_finseq_1(k2_finseq_2(np__1,X0),k2_finseq_2(np__1,k4_xboole_0(X1,X0))))),
inference(forward_demodulation,[],[f15125,f13966]) ).
fof(f15450,plain,
! [X0,X1] : k3_tarski(k2_relat_1(k7_finseq_1(k2_finseq_2(np__1,k4_xboole_0(X0,k4_xboole_0(X0,X1))),k2_finseq_2(np__1,k4_xboole_0(X0,X1))))) = X0,
inference(forward_demodulation,[],[f15133,f13966]) ).
fof(f15485,plain,
! [X2,X3,X0,X1] :
( ~ m1_pboole(X1,X0)
| k3_closure3(X0,X1,X2,X3) = k3_tarski(k2_relat_1(k7_finseq_1(k2_finseq_2(np__1,X2),k2_finseq_2(np__1,X3))))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X0,X1))) ),
inference(forward_demodulation,[],[f15170,f13966]) ).
fof(f15595,plain,
! [X0,X1] : k3_tarski(k2_relat_1(k7_finseq_1(k2_finseq_2(np__1,X0),k2_finseq_2(np__1,X1)))) = k3_tarski(k2_relat_1(k7_finseq_1(k2_finseq_2(np__1,X0),k2_finseq_2(np__1,k4_xboole_0(X1,X0))))),
inference(forward_demodulation,[],[f15442,f13966]) ).
fof(f15598,plain,
! [X0,X1] : k3_tarski(k2_relat_1(k7_finseq_1(k2_finseq_2(np__1,k4_xboole_0(X0,X1)),k2_finseq_2(np__1,k4_xboole_0(X0,k4_xboole_0(X0,X1)))))) = X0,
inference(forward_demodulation,[],[f15450,f15417]) ).
fof(f15680,plain,
! [X0,X1] : k3_tarski(k2_relat_1(k7_finseq_1(k2_finseq_2(np__1,k4_xboole_0(X0,X1)),k2_finseq_2(np__1,X0)))) = X0,
inference(forward_demodulation,[],[f15598,f15595]) ).
fof(f15716,plain,
! [X0,X1] : k3_tarski(k2_relat_1(k7_finseq_1(k2_finseq_2(np__1,X0),k2_finseq_2(np__1,k4_xboole_0(X0,X1))))) = X0,
inference(forward_demodulation,[],[f15680,f15417]) ).
fof(f15765,plain,
k1_closure2(sK18,sK19) = k6_closure2(sK18,sK19),
inference(resolution,[],[f8907,f8842]) ).
fof(f15767,plain,
m1_subset_1(sK21,k1_zfmisc_1(k6_closure2(sK18,sK19))),
inference(superposition,[],[f8844,f15765]) ).
fof(f15777,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK18,sK19)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK18,sK19)))
| r6_pboole(sK18,k2_closure3(sK18,sK19,k3_closure3(sK18,sK19,X1,X0)),k2_pboole(sK18,k2_closure3(sK18,sK19,X1),k2_closure3(sK18,sK19,X0))) ),
inference(resolution,[],[f8841,f8842]) ).
fof(f15778,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k6_closure2(sK18,sK19)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK18,sK19)))
| r6_pboole(sK18,k2_closure3(sK18,sK19,k3_closure3(sK18,sK19,X1,X0)),k2_pboole(sK18,k2_closure3(sK18,sK19,X1),k2_closure3(sK18,sK19,X0))) ),
inference(forward_demodulation,[],[f15777,f15765]) ).
fof(f15779,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k6_closure2(sK18,sK19)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k6_closure2(sK18,sK19)))
| r6_pboole(sK18,k2_closure3(sK18,sK19,k3_closure3(sK18,sK19,X1,X0)),k2_pboole(sK18,k2_closure3(sK18,sK19,X1),k2_closure3(sK18,sK19,X0))) ),
inference(forward_demodulation,[],[f15778,f15765]) ).
fof(f15831,plain,
! [X0] :
( ~ m4_pboole(X0,sK18,sK19)
| m1_pboole(X0,sK18) ),
inference(resolution,[],[f8927,f8842]) ).
fof(f15832,plain,
! [X0] :
( m1_pboole(k2_closure3(sK18,sK19,X0),sK18)
| ~ m1_pboole(sK19,sK18)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK18,sK19))) ),
inference(resolution,[],[f15831,f8797]) ).
fof(f15833,plain,
! [X0] :
( m1_pboole(k2_closure3(sK18,sK19,X0),sK18)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK18,sK19))) ),
inference(forward_subsumption_resolution,[],[f15832,f8842]) ).
fof(f15834,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k6_closure2(sK18,sK19)))
| m1_pboole(k2_closure3(sK18,sK19,X0),sK18) ),
inference(forward_demodulation,[],[f15833,f15765]) ).
fof(f15835,plain,
m1_pboole(k2_closure3(sK18,sK19,sK21),sK18),
inference(resolution,[],[f15834,f15767]) ).
fof(f15870,plain,
! [X0] :
( r6_pboole(sK18,k2_closure3(sK18,sK19,k3_closure3(sK18,sK19,X0,sK21)),k2_pboole(sK18,k2_closure3(sK18,sK19,X0),k2_closure3(sK18,sK19,sK21)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k6_closure2(sK18,sK19))) ),
inference(resolution,[],[f15779,f15767]) ).
fof(f15924,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK18,sK19)))
| m1_subset_1(k4_xboole_0(X0,X1),k1_zfmisc_1(k1_closure2(sK18,sK19))) ),
inference(resolution,[],[f8902,f8842]) ).
fof(f15929,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k6_closure2(sK18,sK19)))
| m1_subset_1(k4_xboole_0(X0,X1),k1_zfmisc_1(k1_closure2(sK18,sK19))) ),
inference(forward_demodulation,[],[f15924,f15765]) ).
fof(f15932,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k6_closure2(sK18,sK19)))
| m1_subset_1(k4_xboole_0(X0,X1),k1_zfmisc_1(k6_closure2(sK18,sK19))) ),
inference(forward_demodulation,[],[f15929,f15765]) ).
fof(f15933,plain,
! [X0] : m1_subset_1(k4_xboole_0(sK21,X0),k1_zfmisc_1(k6_closure2(sK18,sK19))),
inference(resolution,[],[f15932,f15767]) ).
fof(f16208,plain,
sK20 = k4_xboole_0(sK20,k4_xboole_0(sK20,sK21)),
inference(resolution,[],[f13075,f8845]) ).
fof(f16271,plain,
! [X0] : m1_subset_1(k4_xboole_0(X0,k4_xboole_0(X0,sK21)),k1_zfmisc_1(k6_closure2(sK18,sK19))),
inference(superposition,[],[f15933,f13087]) ).
fof(f16296,plain,
! [X0] :
( ~ m1_pboole(sK19,sK18)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK18,sK19)))
| k3_closure3(sK18,sK19,X0,sK21) = k3_closure3(sK18,sK19,sK21,X0) ),
inference(resolution,[],[f8799,f8844]) ).
fof(f16307,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK18,sK19)))
| k3_closure3(sK18,sK19,X0,sK21) = k3_closure3(sK18,sK19,sK21,X0) ),
inference(forward_subsumption_resolution,[],[f16296,f8842]) ).
fof(f16309,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k6_closure2(sK18,sK19)))
| k3_closure3(sK18,sK19,X0,sK21) = k3_closure3(sK18,sK19,sK21,X0) ),
inference(forward_demodulation,[],[f16307,f15765]) ).
fof(f16450,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k6_closure2(sK18,sK19)))
| r2_pboole(sK18,k2_closure3(sK18,sK19,X0),k2_closure3(sK18,sK19,k3_closure3(sK18,sK19,X0,sK21)))
| ~ m1_pboole(k2_closure3(sK18,sK19,sK21),sK18)
| ~ m1_pboole(k2_closure3(sK18,sK19,X0),sK18)
| ~ m1_pboole(k2_closure3(sK18,sK19,k3_closure3(sK18,sK19,X0,sK21)),sK18) ),
inference(resolution,[],[f15870,f9653]) ).
fof(f16452,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k6_closure2(sK18,sK19)))
| r2_pboole(sK18,k2_closure3(sK18,sK19,X0),k2_closure3(sK18,sK19,k3_closure3(sK18,sK19,X0,sK21)))
| ~ m1_pboole(k2_closure3(sK18,sK19,sK21),sK18)
| ~ m1_pboole(k2_closure3(sK18,sK19,k3_closure3(sK18,sK19,X0,sK21)),sK18) ),
inference(forward_subsumption_resolution,[],[f16450,f15834]) ).
fof(f16454,plain,
! [X0] :
( ~ m1_pboole(k2_closure3(sK18,sK19,k3_closure3(sK18,sK19,X0,sK21)),sK18)
| r2_pboole(sK18,k2_closure3(sK18,sK19,X0),k2_closure3(sK18,sK19,k3_closure3(sK18,sK19,X0,sK21)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k6_closure2(sK18,sK19))) ),
inference(forward_subsumption_resolution,[],[f16452,f15835]) ).
fof(f16542,plain,
! [X0,X1] :
( k3_tarski(k2_relat_1(k7_finseq_1(k2_finseq_2(np__1,X0),k2_finseq_2(np__1,X1)))) = k3_closure3(sK18,sK19,X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(sK18,sK19)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK18,sK19))) ),
inference(resolution,[],[f15485,f8842]) ).
fof(f16554,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k6_closure2(sK18,sK19)))
| k3_tarski(k2_relat_1(k7_finseq_1(k2_finseq_2(np__1,X0),k2_finseq_2(np__1,X1)))) = k3_closure3(sK18,sK19,X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(sK18,sK19))) ),
inference(forward_demodulation,[],[f16542,f15765]) ).
fof(f16560,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k6_closure2(sK18,sK19)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k6_closure2(sK18,sK19)))
| k3_tarski(k2_relat_1(k7_finseq_1(k2_finseq_2(np__1,X0),k2_finseq_2(np__1,X1)))) = k3_closure3(sK18,sK19,X0,X1) ),
inference(forward_demodulation,[],[f16554,f15765]) ).
fof(f16568,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k6_closure2(sK18,sK19)))
| k3_closure3(sK18,sK19,sK21,X0) = k3_tarski(k2_relat_1(k7_finseq_1(k2_finseq_2(np__1,sK21),k2_finseq_2(np__1,X0)))) ),
inference(resolution,[],[f16560,f15767]) ).
fof(f18346,plain,
! [X0] : k3_closure3(sK18,sK19,sK21,k4_xboole_0(sK21,X0)) = k3_tarski(k2_relat_1(k7_finseq_1(k2_finseq_2(np__1,sK21),k2_finseq_2(np__1,k4_xboole_0(sK21,X0))))),
inference(resolution,[],[f16568,f15933]) ).
fof(f18380,plain,
! [X0] : sK21 = k3_closure3(sK18,sK19,sK21,k4_xboole_0(sK21,X0)),
inference(forward_demodulation,[],[f18346,f15716]) ).
fof(f18399,plain,
! [X0] : sK21 = k3_closure3(sK18,sK19,sK21,k4_xboole_0(X0,k4_xboole_0(X0,sK21))),
inference(superposition,[],[f18380,f13087]) ).
fof(f19342,plain,
! [X0] : k3_closure3(sK18,sK19,sK21,k4_xboole_0(X0,k4_xboole_0(X0,sK21))) = k3_closure3(sK18,sK19,k4_xboole_0(X0,k4_xboole_0(X0,sK21)),sK21),
inference(resolution,[],[f16271,f16309]) ).
fof(f19362,plain,
! [X0] : sK21 = k3_closure3(sK18,sK19,k4_xboole_0(X0,k4_xboole_0(X0,sK21)),sK21),
inference(forward_demodulation,[],[f19342,f18399]) ).
fof(f19376,plain,
! [X0] :
( ~ m1_pboole(k2_closure3(sK18,sK19,sK21),sK18)
| r2_pboole(sK18,k2_closure3(sK18,sK19,k4_xboole_0(X0,k4_xboole_0(X0,sK21))),k2_closure3(sK18,sK19,sK21))
| ~ m1_subset_1(k4_xboole_0(X0,k4_xboole_0(X0,sK21)),k1_zfmisc_1(k6_closure2(sK18,sK19))) ),
inference(superposition,[],[f16454,f19362]) ).
fof(f19379,plain,
! [X0] :
( r2_pboole(sK18,k2_closure3(sK18,sK19,k4_xboole_0(X0,k4_xboole_0(X0,sK21))),k2_closure3(sK18,sK19,sK21))
| ~ m1_subset_1(k4_xboole_0(X0,k4_xboole_0(X0,sK21)),k1_zfmisc_1(k6_closure2(sK18,sK19))) ),
inference(forward_subsumption_resolution,[],[f19376,f15835]) ).
fof(f19384,plain,
! [X0] : r2_pboole(sK18,k2_closure3(sK18,sK19,k4_xboole_0(X0,k4_xboole_0(X0,sK21))),k2_closure3(sK18,sK19,sK21)),
inference(forward_subsumption_resolution,[],[f19379,f16271]) ).
fof(f19387,plain,
r2_pboole(sK18,k2_closure3(sK18,sK19,sK20),k2_closure3(sK18,sK19,sK21)),
inference(superposition,[],[f19384,f16208]) ).
fof(f19393,plain,
$false,
inference(forward_subsumption_resolution,[],[f19387,f8846]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG231+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n008.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 19:55:25 UTC 2026
% 0.09/0.24 % CPUTime :
% 0.09/0.24 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.28 Running first-order theorem proving
% 0.25/0.29 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
% 18.99/3.85 % (2565892)Detected formulas, will run a generic FOF schedule.
% 18.99/3.85 % (2565902)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=445306789:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 18.99/3.85 % (2565902)Instruction limit reached!
% 18.99/3.85 % (2565902)------------------------------
% 18.99/3.85 % (2565902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.99/3.85 % (2565902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.99/3.85 % (2565902)CaDiCaL version: 2.1.3
% 18.99/3.85 % (2565902)Termination reason: Instruction limit
% 18.99/3.85 % (2565902)Termination phase: Saturation
% 18.99/3.85 % (2565902)Time elapsed: 0.041 s
% 18.99/3.85 % (2565902)Peak memory usage: 94 MB
% 18.99/3.85 % (2565902)Instructions burned: 111 (million)
% 18.99/3.85 % (2565905)dis-21_1_sil=8000:lcm=predicate:random_seed=3262612107:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 18.99/3.85 % (2565899)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=3091521440:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 18.99/3.86 % (2565903)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=459764744:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 18.99/3.86 % (2565904)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2449868636:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 18.99/3.86 % (2565901)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=642533930:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 18.99/3.86 % (2565900)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=3819192310:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 18.99/3.86 % (2565905)Instruction limit reached!
% 18.99/3.86 % (2565905)------------------------------
% 18.99/3.86 % (2565905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.99/3.86 % (2565905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.99/3.86 % (2565905)CaDiCaL version: 2.1.3
% 18.99/3.86 % (2565905)Termination reason: Instruction limit
% 18.99/3.86 % (2565905)Termination phase: Preprocessing 3
% 18.99/3.86 % (2565905)Time elapsed: 0.130 s
% 18.99/3.86 % (2565905)Peak memory usage: 95 MB
% 18.99/3.86 % (2565905)Instructions burned: 129 (million)
% 18.99/3.86 % (2565907)lrs+10_1_sil=8000:sp=occurrence:random_seed=499946830:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 18.99/3.86 % (2565903)Instruction limit reached!
% 18.99/3.86 % (2565903)------------------------------
% 18.99/3.86 % (2565903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.99/3.86 % (2565903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.99/3.86 % (2565903)CaDiCaL version: 2.1.3
% 18.99/3.86 % (2565903)Termination reason: Instruction limit
% 18.99/3.86 % (2565903)Termination phase: Saturation
% 18.99/3.86 % (2565903)Time elapsed: 0.127 s
% 18.99/3.86 % (2565903)Peak memory usage: 95 MB
% 18.99/3.86 % (2565903)Instructions burned: 119 (million)
% 18.99/3.86 % (2565904)Instruction limit reached!
% 18.99/3.86 % (2565904)------------------------------
% 18.99/3.86 % (2565904)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.99/3.86 % (2565904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.99/3.86 % (2565904)CaDiCaL version: 2.1.3
% 18.99/3.86 % (2565904)Termination reason: Instruction limit
% 18.99/3.86 % (2565904)Termination phase: Naming
% 18.99/3.86 % (2565904)Time elapsed: 0.147 s
% 18.99/3.86 % (2565904)Peak memory usage: 95 MB
% 18.99/3.86 % (2565904)Instructions burned: 139 (million)
% 18.99/3.86 % (2565907)Instruction limit reached!
% 18.99/3.86 % (2565907)------------------------------
% 18.99/3.86 % (2565907)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.99/3.86 % (2565907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.99/3.86 % (2565907)CaDiCaL version: 2.1.3
% 18.99/3.86 % (2565907)Termination reason: Instruction limit
% 18.99/3.86 % (2565907)Termination phase: Saturation
% 18.99/3.86 % (2565907)Time elapsed: 0.166 s
% 18.99/3.86 % (2565907)Peak memory usage: 98 MB
% 18.99/3.86 % (2565907)Instructions burned: 286 (million)
% 28.48/5.04 % (2565917)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=2465044130:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 28.48/5.04 % (2565916)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2639880404:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 28.48/5.04 % (2565914)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3009746446:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2994 on theBenchmark for (2994ds/157Mi)
% 28.48/5.04 % (2565914)Instruction limit reached!
% 28.48/5.04 % (2565914)------------------------------
% 28.48/5.04 % (2565914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.48/5.04 % (2565914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.48/5.04 % (2565914)CaDiCaL version: 2.1.3
% 28.48/5.04 % (2565914)Termination reason: Instruction limit
% 28.48/5.04 % (2565914)Termination phase: Saturation
% 28.48/5.04 % (2565914)Time elapsed: 0.151 s
% 28.48/5.04 % (2565914)Peak memory usage: 94 MB
% 28.48/5.04 % (2565914)Instructions burned: 157 (million)
% 28.48/5.04 % (2565917)Instruction limit reached!
% 28.48/5.04 % (2565917)------------------------------
% 28.48/5.04 % (2565917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.48/5.04 % (2565917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.48/5.04 % (2565917)CaDiCaL version: 2.1.3
% 28.48/5.04 % (2565917)Termination reason: Instruction limit
% 28.48/5.04 % (2565917)Termination phase: Property scanning
% 28.48/5.04 % (2565917)Time elapsed: 0.163 s
% 28.48/5.04 % (2565917)Peak memory usage: 99 MB
% 28.48/5.04 % (2565917)Instructions burned: 249 (million)
% 28.48/5.04 % (2565918)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=36437346:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 28.48/5.04 % (2565922)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=939388333:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 28.48/5.04 % (2565916)Instruction limit reached!
% 28.48/5.04 % (2565916)------------------------------
% 28.48/5.04 % (2565916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.48/5.04 % (2565916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.48/5.04 % (2565916)CaDiCaL version: 2.1.3
% 28.48/5.04 % (2565916)Termination reason: Instruction limit
% 28.48/5.04 % (2565916)Termination phase: Saturation
% 28.48/5.04 % (2565916)Time elapsed: 0.368 s
% 28.48/5.04 % (2565916)Peak memory usage: 96 MB
% 28.48/5.04 % (2565916)Instructions burned: 325 (million)
% 28.48/5.04 % (2565923)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1324339788:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 28.48/5.04 % (2565918)Instruction limit reached!
% 28.48/5.04 % (2565918)------------------------------
% 28.48/5.04 % (2565918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.48/5.04 % (2565918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.48/5.04 % (2565918)CaDiCaL version: 2.1.3
% 28.48/5.04 % (2565918)Termination reason: Instruction limit
% 28.48/5.04 % (2565918)Termination phase: Saturation
% 28.48/5.04 % (2565918)Time elapsed: 0.304 s
% 28.48/5.04 % (2565918)Peak memory usage: 98 MB
% 28.48/5.04 % (2565918)Instructions burned: 295 (million)
% 28.48/5.04 % (2565923)Instruction limit reached!
% 28.48/5.04 % (2565923)------------------------------
% 28.48/5.04 % (2565923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.48/5.04 % (2565923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.48/5.04 % (2565923)CaDiCaL version: 2.1.3
% 28.48/5.04 % (2565923)Termination reason: Instruction limit
% 28.48/5.04 % (2565923)Termination phase: Property scanning
% 28.48/5.04 % (2565923)Time elapsed: 0.118 s
% 28.48/5.04 % (2565923)Peak memory usage: 94 MB
% 28.48/5.04 % (2565923)Instructions burned: 113 (million)
% 28.48/5.04 % (2565926)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2315767594:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 28.48/5.04 % (2565926)Instruction limit reached!
% 28.48/5.04 % (2565926)------------------------------
% 28.48/5.04 % (2565926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.48/5.04 % (2565926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.48/5.04 % (2565926)CaDiCaL version: 2.1.3
% 28.48/5.04 % (2565926)Termination reason: Instruction limit
% 29.77/5.90 % (2565926)Termination phase: Preprocessing 3
% 29.77/5.90 % (2565926)Time elapsed: 0.143 s
% 29.77/5.90 % (2565926)Peak memory usage: 97 MB
% 29.77/5.90 % (2565926)Instructions burned: 127 (million)
% 29.77/5.90 % (2565928)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=993360772:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2986 on theBenchmark for (2986ds/114Mi)
% 29.77/5.90 % (2565929)lrs+10_1_sil=8000:sp=occurrence:random_seed=488442659:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2986 on theBenchmark for (2986ds/907Mi)
% 29.77/5.90 % (2565928)Instruction limit reached!
% 29.77/5.90 % (2565928)------------------------------
% 29.77/5.90 % (2565928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.77/5.90 % (2565928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.77/5.90 % (2565928)CaDiCaL version: 2.1.3
% 29.77/5.90 % (2565928)Termination reason: Instruction limit
% 29.77/5.90 % (2565928)Termination phase: SInE selection
% 29.77/5.90 % (2565928)Time elapsed: 0.096 s
% 29.77/5.90 % (2565928)Peak memory usage: 90 MB
% 29.77/5.90 % (2565928)Instructions burned: 114 (million)
% 29.77/5.90 % (2565931)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=34613187:i=437:sd=1:aac=none:ss=included_2983 on theBenchmark for (2983ds/437Mi)
% 29.77/5.90 % (2565934)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4102755993:i=5202:ss=axioms:sgt=16_2982 on theBenchmark for (2982ds/5202Mi)
% 29.77/5.90 % (2565931)Instruction limit reached!
% 29.77/5.90 % (2565931)------------------------------
% 29.77/5.90 % (2565931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.77/5.90 % (2565931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.77/5.90 % (2565931)CaDiCaL version: 2.1.3
% 29.77/5.90 % (2565931)Termination reason: Instruction limit
% 29.77/5.90 % (2565931)Termination phase: Saturation
% 29.77/5.90 % (2565931)Time elapsed: 0.455 s
% 29.77/5.90 % (2565931)Peak memory usage: 98 MB
% 29.77/5.90 % (2565931)Instructions burned: 438 (million)
% 29.77/5.90 % (2565938)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3288233623:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2976 on theBenchmark for (2976ds/134Mi)
% 29.77/5.90 % (2565922)Instruction limit reached!
% 29.77/5.90 % (2565922)------------------------------
% 29.77/5.90 % (2565922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.77/5.90 % (2565922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.77/5.90 % (2565922)CaDiCaL version: 2.1.3
% 29.77/5.90 % (2565922)Termination reason: Instruction limit
% 29.77/5.90 % (2565922)Termination phase: Saturation
% 29.77/5.90 % (2565922)Time elapsed: 1.369 s
% 29.77/5.90 % (2565922)Peak memory usage: 226 MB
% 29.77/5.90 % (2565922)Instructions burned: 2351 (million)
% 29.77/5.90 % (2565938)Instruction limit reached!
% 29.77/5.90 % (2565938)------------------------------
% 29.77/5.90 % (2565938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.77/5.90 % (2565938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.77/5.90 % (2565938)CaDiCaL version: 2.1.3
% 29.77/5.90 % (2565938)Termination reason: Instruction limit
% 29.77/5.90 % (2565938)Termination phase: Saturation
% 29.77/5.90 % (2565938)Time elapsed: 0.121 s
% 29.77/5.90 % (2565938)Peak memory usage: 96 MB
% 29.77/5.90 % (2565938)Instructions burned: 134 (million)
% 29.77/5.90 % (2565929)Instruction limit reached!
% 29.77/5.90 % (2565929)------------------------------
% 29.77/5.90 % (2565929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.77/5.90 % (2565929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.77/5.90 % (2565929)CaDiCaL version: 2.1.3
% 29.77/5.90 % (2565929)Termination reason: Instruction limit
% 29.77/5.90 % (2565929)Termination phase: Saturation
% 29.77/5.90 % (2565929)Time elapsed: 0.972 s
% 29.77/5.90 % (2565929)Peak memory usage: 109 MB
% 29.77/5.90 % (2565929)Instructions burned: 907 (million)
% 29.77/5.90 % (2565941)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=619925038:st=8:i=592:sd=3:ep=RST:ss=axioms_2974 on theBenchmark for (2974ds/592Mi)
% 29.77/5.90 % (2565943)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3059055836:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2973 on theBenchmark for (2973ds/125Mi)
% 29.77/5.90 % (2565942)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1370865958:st=3:i=13193:sd=3:ss=axioms_2973 on theBenchmark for (2973ds/13193Mi)
% 29.77/5.90 % (2565943)Instruction limit reached!
% 29.77/5.90 % (2565943)------------------------------
% 29.77/5.90 % (2565943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.77/5.90 % (2565943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.77/5.90 % (2565943)CaDiCaL version: 2.1.3
% 29.77/5.90 % (2565943)Termination reason: Instruction limit
% 29.77/5.90 % (2565943)Termination phase: Property scanning
% 29.77/5.90 % (2565943)Time elapsed: 0.088 s
% 29.77/5.90 % (2565943)Peak memory usage: 92 MB
% 29.77/5.90 % (2565943)Instructions burned: 125 (million)
% 29.77/5.90 % (2565941)Instruction limit reached!
% 29.77/5.90 % (2565941)------------------------------
% 29.77/5.90 % (2565941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.77/5.90 % (2565941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.77/5.90 % (2565941)CaDiCaL version: 2.1.3
% 29.77/5.90 % (2565941)Termination reason: Instruction limit
% 29.77/5.90 % (2565941)Termination phase: Saturation
% 29.77/5.90 % (2565941)Time elapsed: 0.278 s
% 29.77/5.90 % (2565941)Peak memory usage: 107 MB
% 29.77/5.90 % (2565941)Instructions burned: 595 (million)
% 29.77/5.90 % (2565947)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2971057362:i=134:gtgl=5:slsql=off:gtg=exists_sym_2970 on theBenchmark for (2970ds/134Mi)
% 29.77/5.90 % (2565948)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=3668245684:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/141Mi)
% 29.77/5.90 % (2565947)Instruction limit reached!
% 29.77/5.90 % (2565947)------------------------------
% 29.77/5.90 % (2565947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.77/5.90 % (2565947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.77/5.90 % (2565947)CaDiCaL version: 2.1.3
% 29.77/5.90 % (2565947)Termination reason: Instruction limit
% 29.77/5.90 % (2565947)Termination phase: SInE selection
% 29.77/5.90 % (2565947)Time elapsed: 0.124 s
% 29.77/5.90 % (2565947)Peak memory usage: 90 MB
% 29.77/5.90 % (2565947)Instructions burned: 134 (million)
% 29.77/5.90 % (2565948)Instruction limit reached!
% 29.77/5.90 % (2565948)------------------------------
% 29.77/5.90 % (2565948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.77/5.90 % (2565948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.77/5.90 % (2565948)CaDiCaL version: 2.1.3
% 29.77/5.90 % (2565948)Termination reason: Instruction limit
% 29.77/5.90 % (2565948)Termination phase: Saturation
% 29.77/5.90 % (2565948)Time elapsed: 0.083 s
% 29.77/5.90 % (2565948)Peak memory usage: 95 MB
% 29.77/5.90 % (2565948)Instructions burned: 142 (million)
% 29.77/5.90 % (2565951)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=281283503:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2966 on theBenchmark for (2966ds/431Mi)
% 29.77/5.90 % (2565952)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3490779173:i=6060:aac=none:ins=25_2966 on theBenchmark for (2966ds/6060Mi)
% 29.77/5.90 % (2565951)Instruction limit reached!
% 29.77/5.90 % (2565951)------------------------------
% 29.77/5.90 % (2565951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.77/5.90 % (2565951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.77/5.90 % (2565951)CaDiCaL version: 2.1.3
% 29.77/5.90 % (2565951)Termination reason: Instruction limit
% 29.77/5.90 % (2565951)Termination phase: Saturation
% 29.77/5.90 % (2565951)Time elapsed: 0.231 s
% 29.77/5.90 % (2565951)Peak memory usage: 98 MB
% 29.77/5.90 % (2565951)Instructions burned: 432 (million)
% 29.77/5.90 % (2565955)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=2497355961:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2961 on theBenchmark for (2961ds/150Mi)
% 29.77/5.90 % (2565955)Instruction limit reached!
% 29.77/5.90 % (2565955)------------------------------
% 29.77/5.90 % (2565955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.77/5.90 % (2565955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.77/5.90 % (2565955)CaDiCaL version: 2.1.3
% 29.77/5.90 % (2565955)Termination reason: Instruction limit
% 29.77/5.90 % (2565955)Termination phase: Preprocessing 3
% 29.77/5.90 % (2565955)Time elapsed: 0.111 s
% 29.77/5.90 % (2565955)Peak memory usage: 97 MB
% 29.77/5.90 % (2565955)Instructions burned: 151 (million)
% 29.77/5.90 % (2565957)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=378602341:i=14155:bd=all_2958 on theBenchmark for (2958ds/14155Mi)
% 29.77/5.90 % (2565900)First to succeed.
% 29.77/5.90 % (2565900)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2565892"
% 29.77/5.90 % (2565900)Refutation found. Thanks to Tanya!
% 29.77/5.90 % SZS status Theorem for theBenchmark
% 29.77/5.90 % SZS output start Proof for theBenchmark
% See solution above
% 34.91/6.27 % (2565900)------------------------------
% 34.91/6.27 % (2565900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.91/6.27 % (2565900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.91/6.27 % (2565900)CaDiCaL version: 2.1.3
% 34.91/6.27 % (2565900)Termination reason: Refutation
% 34.91/6.27 % (2565900)Time elapsed: 4.066 s
% 34.91/6.27 % (2565900)Peak memory usage: 189 MB
% 34.91/6.27 % (2565900)Instructions burned: 3865 (million)
% 34.91/6.27 % (2565900)------------------------------
% 34.91/6.27 % (2565900)------------------------------
% 34.91/6.27 % (2565892)Success in time 5.008 s
% 34.91/6.27 % Vampire exiting
%------------------------------------------------------------------------------