%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG231+4 : 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 : n006.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 15.87s 8.07s
% Output : Refutation 35.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 49 ( 7 unt; 0 def)
% Number of atoms : 248 ( 7 equ)
% Maximal formula atoms : 17 ( 5 avg)
% Number of connectives : 337 ( 138 ~; 129 |; 46 &)
% ( 3 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-4 aty)
% Number of variables : 147 ( 136 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f81,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
=> k2_xboole_0(X0,X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
fof(f8120,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/sandbox/benchmark/theBenchmark.p',t28_pboole) ).
fof(f8269,axiom,
! [X0,X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m4_pboole(X2,X0,X1)
=> m1_pboole(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m4_pboole) ).
fof(f42791,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/sandbox/benchmark/theBenchmark.p',dt_k2_closure3) ).
fof(f42795,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/sandbox/benchmark/theBenchmark.p',redefinition_k3_closure3) ).
fof(f42817,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/sandbox/benchmark/theBenchmark.p',t11_closure3) ).
fof(f42818,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/sandbox/benchmark/theBenchmark.p',t12_closure3) ).
fof(f42819,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)],[f42818]) ).
fof(f42911,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,[],[f42819]) ).
fof(f42912,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,[],[f42911]) ).
fof(f42981,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,[],[f42817]) ).
fof(f42986,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,[],[f42791]) ).
fof(f42987,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,[],[f42986]) ).
fof(f43223,plain,
! [X0,X1] :
( ! [X2] :
( m1_pboole(X2,X0)
| ~ m4_pboole(X2,X0,X1) )
| ~ m1_pboole(X1,X0) ),
inference(ennf_transformation,[],[f8269]) ).
fof(f43242,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,[],[f8120]) ).
fof(f43243,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,[],[f43242]) ).
fof(f43254,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,[],[f42795]) ).
fof(f43255,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,[],[f43254]) ).
fof(f43834,plain,
! [X0,X1] :
( k2_xboole_0(X0,X1) = X1
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f81]) ).
fof(f48065,plain,
( ~ r2_pboole(sK83,k2_closure3(sK83,sK84,sK85),k2_closure3(sK83,sK84,sK86))
& r1_tarski(sK85,sK86)
& m1_subset_1(sK86,k1_zfmisc_1(k1_closure2(sK83,sK84)))
& m1_subset_1(sK85,k1_zfmisc_1(k1_closure2(sK83,sK84)))
& m1_pboole(sK84,sK83) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK83,sK84,sK85,sK86]),skolemize(X0,sK83),skolemize(X1,sK84),skolemize(X2,sK85),skolemize(X3,sK86)],[f42912]) ).
fof(f48250,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,[],[f43243]) ).
fof(f48251,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,[],[f48250]) ).
fof(f48252,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,[],[f48251]) ).
fof(f48253,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,sK173(X0,X1,X2,X3))
& r2_pboole(X0,X2,sK173(X0,X1,X2,X3))
& r2_pboole(X0,X3,sK173(X0,X1,X2,X3))
& m1_pboole(sK173(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,[sK173]),skolemize(X4,sK173(X0,X1,X2,X3))],[f48252]) ).
fof(f49696,plain,
m1_pboole(sK84,sK83),
inference(cnf_transformation,[],[f48065]) ).
fof(f49697,plain,
m1_subset_1(sK85,k1_zfmisc_1(k1_closure2(sK83,sK84))),
inference(cnf_transformation,[],[f48065]) ).
fof(f49698,plain,
m1_subset_1(sK86,k1_zfmisc_1(k1_closure2(sK83,sK84))),
inference(cnf_transformation,[],[f48065]) ).
fof(f49699,plain,
r1_tarski(sK85,sK86),
inference(cnf_transformation,[],[f48065]) ).
fof(f49700,plain,
~ r2_pboole(sK83,k2_closure3(sK83,sK84,sK85),k2_closure3(sK83,sK84,sK86)),
inference(cnf_transformation,[],[f48065]) ).
fof(f49792,plain,
! [X2,X3,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)))
| ~ 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(cnf_transformation,[],[f42981]) ).
fof(f49801,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,[],[f42987]) ).
fof(f50299,plain,
! [X2,X0,X1] :
( ~ m4_pboole(X2,X0,X1)
| m1_pboole(X2,X0)
| ~ m1_pboole(X1,X0) ),
inference(cnf_transformation,[],[f43223]) ).
fof(f50324,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,[],[f48253]) ).
fof(f50340,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,[],[f43255]) ).
fof(f51353,plain,
! [X0,X1] :
( k2_xboole_0(X0,X1) = X1
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f43834]) ).
fof(f59134,plain,
! [X2,X0,X1] :
( ~ m1_pboole(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X1,X0)))
| m1_pboole(k2_closure3(X1,X0,X2),X1)
| ~ m1_pboole(X0,X1) ),
inference(resolution,[],[f49801,f50299]) ).
fof(f59135,plain,
! [X2,X0,X1] :
( m1_pboole(k2_closure3(X1,X0,X2),X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_closure2(X1,X0)))
| ~ m1_pboole(X0,X1) ),
inference(duplicate_literal_removal,[],[f59134]) ).
fof(f59927,plain,
! [X2,X3,X0,X1] :
( r2_pboole(X0,k2_closure3(X0,X1,X2),k2_closure3(X0,X1,k3_closure3(X0,X1,X2,X3)))
| ~ m1_pboole(k2_closure3(X0,X1,X3),X0)
| ~ m1_pboole(k2_closure3(X0,X1,X2),X0)
| ~ m1_pboole(k2_closure3(X0,X1,k3_closure3(X0,X1,X2,X3)),X0)
| ~ 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(resolution,[],[f50324,f49792]) ).
fof(f59935,plain,
! [X2,X3,X0,X1] :
( r2_pboole(X0,k2_closure3(X0,X1,X2),k2_closure3(X0,X1,k3_closure3(X0,X1,X2,X3)))
| ~ m1_pboole(k2_closure3(X0,X1,X2),X0)
| ~ m1_pboole(k2_closure3(X0,X1,k3_closure3(X0,X1,X2,X3)),X0)
| ~ 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(forward_subsumption_resolution,[],[f59927,f59135]) ).
fof(f59936,plain,
! [X2,X3,X0,X1] :
( r2_pboole(X0,k2_closure3(X0,X1,X2),k2_closure3(X0,X1,k3_closure3(X0,X1,X2,X3)))
| ~ m1_pboole(k2_closure3(X0,X1,k3_closure3(X0,X1,X2,X3)),X0)
| ~ 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(forward_subsumption_resolution,[],[f59935,f59135]) ).
fof(f59938,plain,
! [X2,X3,X0,X1] :
( r2_pboole(X2,k2_closure3(X2,X3,X0),k2_closure3(X2,X3,k2_xboole_0(X0,X1)))
| ~ m1_pboole(k2_closure3(X2,X3,k2_xboole_0(X0,X1)),X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(X2,X3)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(X2,X3)))
| ~ m1_pboole(X3,X2)
| ~ m1_pboole(X3,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(X2,X3)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(X2,X3))) ),
inference(superposition,[],[f59936,f50340]) ).
fof(f59939,plain,
! [X2,X3,X0,X1] :
( r2_pboole(X2,k2_closure3(X2,X3,X0),k2_closure3(X2,X3,k2_xboole_0(X0,X1)))
| ~ m1_pboole(k2_closure3(X2,X3,k2_xboole_0(X0,X1)),X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_closure2(X2,X3)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(X2,X3)))
| ~ m1_pboole(X3,X2) ),
inference(duplicate_literal_removal,[],[f59938]) ).
fof(f59967,plain,
! [X2,X3,X0,X1] :
( r2_pboole(X1,k2_closure3(X1,X2,X3),k2_closure3(X1,X2,X0))
| ~ m1_pboole(k2_closure3(X1,X2,X0),X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_pboole(X2,X1)
| ~ r1_tarski(X3,X0) ),
inference(superposition,[],[f59939,f51353]) ).
fof(f59969,plain,
! [X2,X3,X0,X1] :
( r2_pboole(X1,k2_closure3(X1,X2,X3),k2_closure3(X1,X2,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_closure2(X1,X2)))
| ~ m1_pboole(X2,X1)
| ~ r1_tarski(X3,X0) ),
inference(forward_subsumption_resolution,[],[f59967,f59135]) ).
fof(f59970,plain,
( ~ m1_subset_1(sK86,k1_zfmisc_1(k1_closure2(sK83,sK84)))
| ~ m1_subset_1(sK85,k1_zfmisc_1(k1_closure2(sK83,sK84)))
| ~ m1_pboole(sK84,sK83)
| ~ r1_tarski(sK85,sK86) ),
inference(resolution,[],[f59969,f49700]) ).
fof(f59979,plain,
( ~ m1_subset_1(sK85,k1_zfmisc_1(k1_closure2(sK83,sK84)))
| ~ m1_pboole(sK84,sK83)
| ~ r1_tarski(sK85,sK86) ),
inference(forward_subsumption_resolution,[],[f59970,f49698]) ).
fof(f59984,plain,
( ~ m1_pboole(sK84,sK83)
| ~ r1_tarski(sK85,sK86) ),
inference(forward_subsumption_resolution,[],[f59979,f49697]) ).
fof(f59989,plain,
~ r1_tarski(sK85,sK86),
inference(forward_subsumption_resolution,[],[f59984,f49696]) ).
fof(f59990,plain,
$false,
inference(forward_subsumption_resolution,[],[f59989,f49699]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG231+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n006.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 19:55:07 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running first-order theorem proving
% 0.10/0.23 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
% 17.97/5.75 % (109637)Detected formulas, will run a generic FOF schedule.
% 17.97/5.75 % (110437)dis-21_1_sil=8000:lcm=predicate:random_seed=3185993343:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2971 on theBenchmark for (2971ds/129Mi)
% 17.97/5.75 % (110427)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3218931622:i=109:sd=1:ins=1:gsp=on:ss=axioms_2971 on theBenchmark for (2971ds/109Mi)
% 17.97/5.75 % (110426)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=3485476731:i=141695:sd=1:nm=32:gsp=on:ss=included_2971 on theBenchmark for (2971ds/141695Mi)
% 17.97/5.75 % (110423)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=1489554357:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2971 on theBenchmark for (2971ds/134677Mi)
% 17.97/5.75 % (110420)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=1856174179:i=141193_2971 on theBenchmark for (2971ds/141193Mi)
% 17.97/5.75 % (110430)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2873372901:i=119:av=off:ss=axioms_2971 on theBenchmark for (2971ds/119Mi)
% 17.97/5.75 % (110434)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2338271043:s2a=on:i=139:gtg=position_2971 on theBenchmark for (2971ds/139Mi)
% 17.97/5.75 % (110437)Instruction limit reached!
% 17.97/5.75 % (110437)------------------------------
% 17.97/5.75 % (110437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/5.75 % (110437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/5.75 % (110437)CaDiCaL version: 2.1.3
% 17.97/5.75 % (110437)Termination reason: Instruction limit
% 17.97/5.75 % (110437)Termination phase: SInE selection
% 17.97/5.75 % (110437)Time elapsed: 0.059 s
% 17.97/5.75 % (110437)Peak memory usage: 149 MB
% 17.97/5.75 % (110437)Instructions burned: 130 (million)
% 17.97/5.75 % (110434)Instruction limit reached!
% 17.97/5.75 % (110434)------------------------------
% 17.97/5.75 % (110434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/5.75 % (110434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/5.75 % (110434)CaDiCaL version: 2.1.3
% 17.97/5.75 % (110434)Termination reason: Instruction limit
% 17.97/5.75 % (110434)Termination phase: Property scanning
% 17.97/5.75 % (110434)Time elapsed: 0.063 s
% 17.97/5.75 % (110434)Peak memory usage: 149 MB
% 17.97/5.75 % (110434)Instructions burned: 139 (million)
% 17.97/5.75 % (110427)Instruction limit reached!
% 17.97/5.75 % (110427)------------------------------
% 17.97/5.75 % (110427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/5.75 % (110427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/5.75 % (110427)CaDiCaL version: 2.1.3
% 17.97/5.75 % (110427)Termination reason: Instruction limit
% 17.97/5.75 % (110427)Termination phase: SInE selection
% 17.97/5.75 % (110427)Time elapsed: 0.083 s
% 17.97/5.75 % (110427)Peak memory usage: 148 MB
% 17.97/5.75 % (110427)Instructions burned: 110 (million)
% 17.97/5.75 % (110430)Instruction limit reached!
% 17.97/5.75 % (110430)------------------------------
% 17.97/5.75 % (110430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.97/5.75 % (110430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.97/5.75 % (110430)CaDiCaL version: 2.1.3
% 17.97/5.75 % (110430)Termination reason: Instruction limit
% 17.97/5.75 % (110430)Termination phase: SInE selection
% 17.97/5.75 % (110430)Time elapsed: 0.091 s
% 17.97/5.75 % (110430)Peak memory usage: 148 MB
% 17.97/5.75 % (110430)Instructions burned: 120 (million)
% 17.97/5.75 % (110532)lrs+10_1_sil=8000:sp=occurrence:random_seed=3171525401:i=285:sd=3:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/285Mi)
% 17.97/5.75 % (110556)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2092811571:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2969 on theBenchmark for (2969ds/157Mi)
% 17.97/5.75 % (110568)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1471612809:i=325:sd=1:ss=axioms:sgt=32_2968 on theBenchmark for (2968ds/325Mi)
% 17.97/5.75 % (110572)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=1923549692:s2a=on:i=248:s2at=1.23:gtg=position_2968 on theBenchmark for (2968ds/248Mi)
% 17.97/5.75 % (110532)Instruction limit reached!
% 17.97/5.75 % (110532)------------------------------
% 30.49/7.45 % (110532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.49/7.45 % (110532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.49/7.45 % (110532)CaDiCaL version: 2.1.3
% 30.49/7.45 % (110532)Termination reason: Instruction limit
% 30.49/7.45 % (110532)Termination phase: SInE selection
% 30.49/7.45 % (110532)Time elapsed: 0.119 s
% 30.49/7.45 % (110532)Peak memory usage: 149 MB
% 30.49/7.45 % (110532)Instructions burned: 288 (million)
% 30.49/7.45 % (110556)Instruction limit reached!
% 30.49/7.45 % (110556)------------------------------
% 30.49/7.45 % (110556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.49/7.45 % (110556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.49/7.45 % (110556)CaDiCaL version: 2.1.3
% 30.49/7.45 % (110556)Termination reason: Instruction limit
% 30.49/7.45 % (110556)Termination phase: Property scanning
% 30.49/7.45 % (110556)Time elapsed: 0.072 s
% 30.49/7.45 % (110556)Peak memory usage: 149 MB
% 30.49/7.45 % (110556)Instructions burned: 159 (million)
% 30.49/7.45 % (110572)Instruction limit reached!
% 30.49/7.45 % (110572)------------------------------
% 30.49/7.45 % (110572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.49/7.45 % (110572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.49/7.45 % (110572)CaDiCaL version: 2.1.3
% 30.49/7.45 % (110572)Termination reason: Instruction limit
% 30.49/7.45 % (110572)Termination phase: Property scanning
% 30.49/7.45 % (110572)Time elapsed: 0.109 s
% 30.49/7.45 % (110572)Peak memory usage: 149 MB
% 30.49/7.45 % (110572)Instructions burned: 249 (million)
% 30.49/7.45 % (110663)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1323203193:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2967 on theBenchmark for (2967ds/294Mi)
% 30.49/7.45 % (110682)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3825069325:i=2350_2966 on theBenchmark for (2966ds/2350Mi)
% 30.49/7.45 % (110663)Instruction limit reached!
% 30.49/7.45 % (110663)------------------------------
% 30.49/7.45 % (110663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.49/7.45 % (110663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.49/7.45 % (110663)CaDiCaL version: 2.1.3
% 30.49/7.45 % (110663)Termination reason: Instruction limit
% 30.49/7.45 % (110663)Termination phase: SInE selection
% 30.49/7.45 % (110663)Time elapsed: 0.108 s
% 30.49/7.45 % (110663)Peak memory usage: 149 MB
% 30.49/7.45 % (110663)Instructions burned: 296 (million)
% 30.49/7.45 % (110568)Instruction limit reached!
% 30.49/7.45 % (110568)------------------------------
% 30.49/7.45 % (110568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.49/7.45 % (110568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.49/7.45 % (110568)CaDiCaL version: 2.1.3
% 30.49/7.45 % (110568)Termination reason: Instruction limit
% 30.49/7.45 % (110568)Termination phase: Saturation
% 30.49/7.45 % (110568)Time elapsed: 0.258 s
% 30.49/7.45 % (110568)Peak memory usage: 155 MB
% 30.49/7.45 % (110568)Instructions burned: 325 (million)
% 30.49/7.45 % (110720)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4034260484:cts=off:i=113:fsr=off:ss=included:sgt=4_2966 on theBenchmark for (2966ds/113Mi)
% 30.49/7.45 % (110787)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3074396495:i=127:av=off:fsr=off:sup=off_2965 on theBenchmark for (2965ds/127Mi)
% 30.49/7.45 % (110720)Instruction limit reached!
% 30.49/7.45 % (110720)------------------------------
% 30.49/7.45 % (110720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.49/7.45 % (110720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.49/7.45 % (110720)CaDiCaL version: 2.1.3
% 30.49/7.45 % (110720)Termination reason: Instruction limit
% 30.49/7.45 % (110720)Termination phase: SInE selection
% 30.49/7.45 % (110720)Time elapsed: 0.088 s
% 30.49/7.45 % (110720)Peak memory usage: 149 MB
% 30.49/7.45 % (110720)Instructions burned: 113 (million)
% 30.49/7.45 % (110787)Instruction limit reached!
% 30.49/7.45 % (110787)------------------------------
% 30.49/7.45 % (110787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 30.49/7.45 % (110787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 30.49/7.45 % (110787)CaDiCaL version: 2.1.3
% 30.49/7.45 % (110787)Termination reason: Instruction limit
% 30.49/7.45 % (110787)Termination phase: Preprocessing 1
% 30.49/7.45 % (110787)Time elapsed: 0.056 s
% 15.87/8.07 % (110787)Peak memory usage: 150 MB
% 15.87/8.07 % (110787)Instructions burned: 127 (million)
% 15.87/8.07 % (110799)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1194880006:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2964 on theBenchmark for (2964ds/114Mi)
% 15.87/8.07 % (110799)Instruction limit reached!
% 15.87/8.07 % (110799)------------------------------
% 15.87/8.07 % (110799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.87/8.07 % (110799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.87/8.07 % (110799)CaDiCaL version: 2.1.3
% 15.87/8.07 % (110799)Termination reason: Instruction limit
% 15.87/8.07 % (110799)Termination phase: Property scanning
% 15.87/8.07 % (110799)Time elapsed: 0.053 s
% 15.87/8.07 % (110799)Peak memory usage: 149 MB
% 15.87/8.07 % (110799)Instructions burned: 115 (million)
% 15.87/8.07 % (110813)lrs+10_1_sil=8000:sp=occurrence:random_seed=1038661284:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2963 on theBenchmark for (2963ds/907Mi)
% 15.87/8.07 % (110815)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1505190871:i=437:sd=1:aac=none:ss=included_2963 on theBenchmark for (2963ds/437Mi)
% 15.87/8.07 % (110816)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3880376017:i=5202:ss=axioms:sgt=16_2962 on theBenchmark for (2962ds/5202Mi)
% 15.87/8.07 % (110815)Instruction limit reached!
% 15.87/8.07 % (110815)------------------------------
% 15.87/8.07 % (110815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.87/8.07 % (110815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.87/8.07 % (110815)CaDiCaL version: 2.1.3
% 15.87/8.07 % (110815)Termination reason: Instruction limit
% 15.87/8.07 % (110815)Termination phase: Saturation
% 15.87/8.07 % (110815)Time elapsed: 0.293 s
% 15.87/8.07 % (110815)Peak memory usage: 156 MB
% 15.87/8.07 % (110815)Instructions burned: 438 (million)
% 15.87/8.07 % (110880)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3186174146:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2959 on theBenchmark for (2959ds/134Mi)
% 15.87/8.07 % (110880)Instruction limit reached!
% 15.87/8.07 % (110880)------------------------------
% 15.87/8.07 % (110880)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.87/8.07 % (110880)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.87/8.07 % (110880)CaDiCaL version: 2.1.3
% 15.87/8.07 % (110880)Termination reason: Instruction limit
% 15.87/8.07 % (110880)Termination phase: SInE selection
% 15.87/8.07 % (110880)Time elapsed: 0.107 s
% 15.87/8.07 % (110880)Peak memory usage: 149 MB
% 15.87/8.07 % (110880)Instructions burned: 134 (million)
% 15.87/8.07 % (110813)Instruction limit reached!
% 15.87/8.07 % (110813)------------------------------
% 15.87/8.07 % (110813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.87/8.07 % (110813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.87/8.07 % (110813)CaDiCaL version: 2.1.3
% 15.87/8.07 % (110813)Termination reason: Instruction limit
% 15.87/8.07 % (110813)Termination phase: Property scanning
% 15.87/8.07 % (110813)Time elapsed: 0.596 s
% 15.87/8.07 % (110813)Peak memory usage: 164 MB
% 15.87/8.07 % (110813)Instructions burned: 909 (million)
% 15.87/8.07 % (110936)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=199124796:st=8:i=592:sd=3:ep=RST:ss=axioms_2956 on theBenchmark for (2956ds/592Mi)
% 15.87/8.07 % (110942)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3819680611:st=3:i=13193:sd=3:ss=axioms_2956 on theBenchmark for (2956ds/13193Mi)
% 15.87/8.07 % (110936)Instruction limit reached!
% 15.87/8.07 % (110936)------------------------------
% 15.87/8.07 % (110936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.87/8.07 % (110936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.87/8.07 % (110936)CaDiCaL version: 2.1.3
% 15.87/8.07 % (110936)Termination reason: Instruction limit
% 15.87/8.07 % (110936)Termination phase: Preprocessing 1
% 15.87/8.07 % (110936)Time elapsed: 0.421 s
% 15.87/8.07 % (110936)Peak memory usage: 152 MB
% 15.87/8.07 % (110936)Instructions burned: 593 (million)
% 15.87/8.07 % (110682)Instruction limit reached!
% 15.87/8.07 % (110682)------------------------------
% 15.87/8.07 % (110682)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.87/8.07 % (110682)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.87/8.07 % (110682)CaDiCaL version: 2.1.3
% 15.87/8.07 % (110682)Termination reason: Instruction limit
% 15.87/8.07 % (110682)Termination phase: Preprocessing 3
% 15.87/8.07 % (110682)Time elapsed: 1.615 s
% 15.87/8.07 % (110682)Peak memory usage: 249 MB
% 15.87/8.07 % (110682)Instructions burned: 2350 (million)
% 15.87/8.07 % (110956)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=223773706:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2950 on theBenchmark for (2950ds/125Mi)
% 15.87/8.07 % (110956)Instruction limit reached!
% 15.87/8.07 % (110956)------------------------------
% 15.87/8.07 % (110956)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.87/8.07 % (110956)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.87/8.07 % (110956)CaDiCaL version: 2.1.3
% 15.87/8.07 % (110956)Termination reason: Instruction limit
% 15.87/8.07 % (110956)Termination phase: Property scanning
% 15.87/8.07 % (110956)Time elapsed: 0.058 s
% 15.87/8.07 % (110956)Peak memory usage: 149 MB
% 15.87/8.07 % (110956)Instructions burned: 125 (million)
% 15.87/8.07 % (110957)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2127025664:i=134:gtgl=5:slsql=off:gtg=exists_sym_2949 on theBenchmark for (2949ds/134Mi)
% 15.87/8.07 % (110957)Instruction limit reached!
% 15.87/8.07 % (110957)------------------------------
% 15.87/8.07 % (110957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.87/8.07 % (110957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.87/8.07 % (110957)CaDiCaL version: 2.1.3
% 15.87/8.07 % (110957)Termination reason: Instruction limit
% 15.87/8.07 % (110957)Termination phase: Property scanning
% 15.87/8.07 % (110957)Time elapsed: 0.061 s
% 15.87/8.07 % (110957)Peak memory usage: 149 MB
% 15.87/8.07 % (110957)Instructions burned: 135 (million)
% 15.87/8.07 % (110959)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=884838104:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2948 on theBenchmark for (2948ds/141Mi)
% 15.87/8.07 % (110959)Instruction limit reached!
% 15.87/8.07 % (110959)------------------------------
% 15.87/8.07 % (110959)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.87/8.07 % (110959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.87/8.07 % (110959)CaDiCaL version: 2.1.3
% 15.87/8.07 % (110959)Termination reason: Instruction limit
% 15.87/8.07 % (110959)Termination phase: SInE selection
% 15.87/8.07 % (110959)Time elapsed: 0.132 s
% 15.87/8.07 % (110959)Peak memory usage: 149 MB
% 15.87/8.07 % (110959)Instructions burned: 141 (million)
% 15.87/8.07 % (110961)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2564733179:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2946 on theBenchmark for (2946ds/431Mi)
% 15.87/8.07 % (110977)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=2683197498:i=6060:aac=none:ins=25_2944 on theBenchmark for (2944ds/6060Mi)
% 15.87/8.07 % (110961)Instruction limit reached!
% 15.87/8.07 % (110961)------------------------------
% 15.87/8.07 % (110961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.87/8.07 % (110961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.87/8.07 % (110961)CaDiCaL version: 2.1.3
% 15.87/8.07 % (110961)Termination reason: Instruction limit
% 15.87/8.07 % (110961)Termination phase: Saturation
% 15.87/8.07 % (110961)Time elapsed: 0.492 s
% 15.87/8.07 % (110961)Peak memory usage: 155 MB
% 15.87/8.07 % (110961)Instructions burned: 432 (million)
% 15.87/8.07 % (110993)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=2317335338:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2939 on theBenchmark for (2939ds/150Mi)
% 15.87/8.07 % (110993)Instruction limit reached!
% 15.87/8.07 % (110993)------------------------------
% 15.87/8.07 % (110993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.87/8.07 % (110993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.87/8.07 % (110993)CaDiCaL version: 2.1.3
% 15.87/8.07 % (110993)Termination reason: Instruction limit
% 15.87/8.07 % (110993)Termination phase: SInE selection
% 15.87/8.07 % (110993)Time elapsed: 0.170 s
% 15.87/8.07 % (110993)Peak memory usage: 149 MB
% 15.87/8.07 % (110993)Instructions burned: 150 (million)
% 15.87/8.07 % (111000)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3365193573:i=14155:bd=all_2935 on theBenchmark for (2935ds/14155Mi)
% 15.87/8.07 % (110816)First to succeed.
% 15.87/8.07 % (110816)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-109637"
% 15.87/8.07 % (110816)Refutation found. Thanks to Tanya!
% 15.87/8.07 % SZS status Theorem for theBenchmark
% 15.87/8.07 % SZS output start Proof for theBenchmark
% See solution above
% 35.54/8.33 % (110816)------------------------------
% 35.54/8.33 % (110816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.54/8.33 % (110816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.54/8.33 % (110816)CaDiCaL version: 2.1.3
% 35.54/8.33 % (110816)Termination reason: Refutation
% 35.54/8.33 % (110816)Time elapsed: 2.986 s
% 35.54/8.33 % (110816)Peak memory usage: 290 MB
% 35.54/8.33 % (110816)Instructions burned: 4661 (million)
% 35.54/8.33 % (110816)------------------------------
% 35.54/8.33 % (110816)------------------------------
% 35.54/8.33 % (109637)Success in time 7.393 s
% 35.54/8.33 % Vampire exiting
%------------------------------------------------------------------------------