%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU439+1 : 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 : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:49:04 PM UTC 2026
% Result : Theorem 3.94s 1.24s
% Output : Refutation 4.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 46 ( 11 unt; 0 def)
% Number of atoms : 179 ( 23 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 216 ( 83 ~; 74 |; 36 &)
% ( 9 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 5 con; 0-4 aty)
% Number of variables : 136 ( 116 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( X2 != k1_xboole_0
=> r1_tarski(k8_relset_2(X0,X1,X2,X3),k9_relat_1(X3,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( X2 != k1_xboole_0
=> r1_tarski(k8_relset_2(X0,X1,X2,X3),k9_relat_1(X3,X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f7,axiom,
! [X0] :
( v1_relat_1(X0)
=> ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f8,axiom,
! [X0] :
( X0 = k1_xboole_0
<=> ! [X1] : ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f9,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(f53,axiom,
! [X0,X1,X2,X3] :
( m1_subset_1(X3,k1_zfmisc_1(X0))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> ( r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
=> ! [X5] :
( r2_hidden(X5,X3)
=> r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_relset_2) ).
fof(f61,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
<=> r2_hidden(k4_tarski(X1,X0),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9_relset_2) ).
fof(f69,plain,
? [X0,X1,X2] :
( ? [X3] :
( ~ r1_tarski(k8_relset_2(X0,X1,X2,X3),k9_relat_1(X3,X2))
& X2 != k1_xboole_0
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f70,plain,
? [X0,X1,X2] :
( ? [X3] :
( ~ r1_tarski(k8_relset_2(X0,X1,X2,X3),k9_relat_1(X3,X2))
& X2 != k1_xboole_0
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
& m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f69]) ).
fof(f73,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f5]) ).
fof(f74,plain,
! [X0] :
( ! [X1,X2] :
( X2 = k9_relat_1(X0,X1)
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) ) ) )
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f75,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f93,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ! [X5] :
( r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X3) )
| ~ r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f53]) ).
fof(f94,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ! [X5] :
( r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ r2_hidden(X5,X3) )
| ~ r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f93]) ).
fof(f103,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
<=> r2_hidden(k4_tarski(X1,X0),X2) )
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f61]) ).
fof(f104,plain,
( ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2))
& k1_xboole_0 != sK2
& m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
& m1_subset_1(sK2,k1_zfmisc_1(sK0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f70]) ).
fof(f105,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,X3),X0)
| ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X3,X2) )
& ( ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| ! [X4] :
( ~ r2_hidden(k4_tarski(X4,X3),X0)
| ~ r2_hidden(X4,X1) ) )
& ( ? [X4] :
( r2_hidden(k4_tarski(X4,X3),X0)
& r2_hidden(X4,X1) )
| ~ r2_hidden(X3,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0) ),
inference(nnf_transformation,[],[f74]) ).
fof(f106,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,X3),X0)
| ~ r2_hidden(X4,X1) )
| ~ r2_hidden(X3,X2) )
& ( ? [X5] :
( r2_hidden(k4_tarski(X5,X3),X0)
& r2_hidden(X5,X1) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X6] :
( ( r2_hidden(X6,X2)
| ! [X7] :
( ~ r2_hidden(k4_tarski(X7,X6),X0)
| ~ r2_hidden(X7,X1) ) )
& ( ? [X8] :
( r2_hidden(k4_tarski(X8,X6),X0)
& r2_hidden(X8,X1) )
| ~ r2_hidden(X6,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0) ),
inference(rectify,[],[f105]) ).
fof(f107,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = k9_relat_1(X0,X1)
| ( ( ! [X4] :
( ~ r2_hidden(k4_tarski(X4,sK4(X0,X1,X2)),X0)
| ~ r2_hidden(X4,X1) )
| ~ r2_hidden(sK4(X0,X1,X2),X2) )
& ( ( r2_hidden(k4_tarski(sK5(X0,X1,X2),sK4(X0,X1,X2)),X0)
& r2_hidden(sK5(X0,X1,X2),X1) )
| r2_hidden(sK4(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( r2_hidden(X6,X2)
| ! [X7] :
( ~ r2_hidden(k4_tarski(X7,X6),X0)
| ~ r2_hidden(X7,X1) ) )
& ( ( r2_hidden(k4_tarski(sK6(X0,X1,X6),X6),X0)
& r2_hidden(sK6(X0,X1,X6),X1) )
| ~ r2_hidden(X6,X2) ) )
| k9_relat_1(X0,X1) != X2 ) )
| ~ v1_relat_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5,sK6]),skolemize(X3,sK4(X0,X1,X2)),skolemize(X5,sK5(X0,X1,X2)),skolemize(X8,sK6(X0,X1,X6))],[f106]) ).
fof(f108,plain,
! [X0] :
( ( X0 = k1_xboole_0
| ? [X1] : r2_hidden(X1,X0) )
& ( ! [X1] : ~ r2_hidden(X1,X0)
| k1_xboole_0 != X0 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f109,plain,
! [X0] :
( ( X0 = k1_xboole_0
| ? [X1] : r2_hidden(X1,X0) )
& ( ! [X2] : ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ) ),
inference(rectify,[],[f108]) ).
fof(f110,plain,
! [X0] :
( ( X0 = k1_xboole_0
| r2_hidden(sK7(X0),X0) )
& ( ! [X2] : ~ r2_hidden(X2,X0)
| k1_xboole_0 != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X1,sK7(X0))],[f109]) ).
fof(f111,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,[],[f75]) ).
fof(f112,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,[],[f111]) ).
fof(f113,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK8(X0,X1),X1)
& r2_hidden(sK8(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X2,sK8(X0,X1))],[f112]) ).
fof(f126,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| ~ r2_hidden(k4_tarski(X1,X0),X2) )
& ( r2_hidden(k4_tarski(X1,X0),X2)
| ~ r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1))) ) )
| ~ v1_relat_1(X2) ),
inference(nnf_transformation,[],[f103]) ).
fof(f127,plain,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f104]) ).
fof(f128,plain,
m1_subset_1(sK3,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1))),
inference(cnf_transformation,[],[f104]) ).
fof(f129,plain,
k1_xboole_0 != sK2,
inference(cnf_transformation,[],[f104]) ).
fof(f130,plain,
~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2)),
inference(cnf_transformation,[],[f104]) ).
fof(f133,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f73]) ).
fof(f137,plain,
! [X2,X0,X1,X6,X7] :
( k9_relat_1(X0,X1) != X2
| ~ r2_hidden(k4_tarski(X7,X6),X0)
| ~ r2_hidden(X7,X1)
| r2_hidden(X6,X2)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f142,plain,
! [X0] :
( r2_hidden(sK7(X0),X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f110]) ).
fof(f144,plain,
! [X0,X1] :
( r2_hidden(sK8(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f145,plain,
! [X0,X1] :
( ~ r2_hidden(sK8(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f187,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ r2_hidden(X2,k8_relset_2(X0,X1,X3,X4))
| ~ r2_hidden(X5,X3)
| r2_hidden(X2,k9_relat_1(X4,k1_tarski(X5)))
| ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f94]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| r2_hidden(k4_tarski(X1,X0),X2)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f126]) ).
fof(f204,plain,
r2_hidden(sK7(sK2),sK2),
inference(unit_resulting_resolution,[],[f142,f129]) ).
fof(f228,plain,
v1_relat_1(sK3),
inference(unit_resulting_resolution,[],[f133,f128]) ).
fof(f231,plain,
r2_hidden(sK8(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2)),k8_relset_2(sK0,sK1,sK2,sK3)),
inference(unit_resulting_resolution,[],[f144,f130]) ).
fof(f233,plain,
~ r2_hidden(sK8(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2)),k9_relat_1(sK3,sK2)),
inference(unit_resulting_resolution,[],[f145,f130]) ).
fof(f261,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(k4_tarski(X0,X1),X2)
| ~ r2_hidden(X0,X3)
| r2_hidden(X1,k9_relat_1(X2,X3))
| ~ v1_relat_1(X2) ),
inference(equality_resolution,[],[f137]) ).
fof(f376,plain,
r2_hidden(sK8(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2)),k9_relat_1(sK3,k1_tarski(sK7(sK2)))),
inference(unit_resulting_resolution,[],[f187,f204,f127,f128,f231]) ).
fof(f1290,plain,
~ r2_hidden(k4_tarski(sK7(sK2),sK8(k8_relset_2(sK0,sK1,sK2,sK3),k9_relat_1(sK3,sK2))),sK3),
inference(unit_resulting_resolution,[],[f261,f228,f204,f233]) ).
fof(f6467,plain,
$false,
inference(unit_resulting_resolution,[],[f196,f228,f1290,f376]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SEU439+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.38 % Computer : n012.cluster.edu
% 0.04/0.38 % Model : x86_64 x86_64
% 0.04/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.38 % Memory : 8046.5625MB
% 0.04/0.38 % OS : Linux 6.8.0-71-generic
% 0.04/0.38 % CPULimit : 300
% 0.04/0.38 % WCLimit : 300
% 0.04/0.38 % DateTime : Mon Sep 28 05:28:34 UTC 2026
% 0.04/0.38 % CPUTime :
% 0.04/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.40 Running first-order theorem proving
% 0.04/0.40 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
% 3.94/1.24 % (3054437)Detected formulas, will run a generic FOF schedule.
% 3.94/1.24 % (3054448)dis-21_1_sil=8000:lcm=predicate:random_seed=1736014296:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.94/1.24 % (3054444)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=2853541504:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.94/1.24 % (3054443)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=192271932:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.94/1.24 % (3054442)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=2587642013:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.94/1.24 % (3054447)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1511867383:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.94/1.24 % (3054445)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=951081368:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.94/1.24 % (3054446)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=302852965:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.94/1.24 % (3054445)Refutation not found, incomplete strategy
% 3.94/1.24 % (3054445)------------------------------
% 3.94/1.24 % (3054445)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.24 % (3054445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.24 % (3054445)CaDiCaL version: 2.1.3
% 3.94/1.24 % (3054445)Termination reason: Refutation not found, incomplete strategy
% 3.94/1.24 % (3054445)Time elapsed: 0.001 s
% 3.94/1.24 % (3054445)Peak memory usage: 88 MB
% 3.94/1.24 % (3054445)Instructions burned: 1 (million)
% 3.94/1.24 % (3054448)Instruction limit reached!
% 3.94/1.24 % (3054448)------------------------------
% 3.94/1.24 % (3054448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.24 % (3054448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.24 % (3054448)CaDiCaL version: 2.1.3
% 3.94/1.24 % (3054448)Termination reason: Instruction limit
% 3.94/1.24 % (3054448)Termination phase: Saturation
% 3.94/1.24 % (3054448)Time elapsed: 0.039 s
% 3.94/1.24 % (3054448)Peak memory usage: 89 MB
% 3.94/1.24 % (3054448)Instructions burned: 130 (million)
% 3.94/1.24 % (3054446)Instruction limit reached!
% 3.94/1.24 % (3054446)------------------------------
% 3.94/1.24 % (3054446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.24 % (3054446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.24 % (3054446)CaDiCaL version: 2.1.3
% 3.94/1.24 % (3054446)Termination reason: Instruction limit
% 3.94/1.24 % (3054446)Termination phase: Saturation
% 3.94/1.24 % (3054446)Time elapsed: 0.041 s
% 3.94/1.24 % (3054446)Peak memory usage: 88 MB
% 3.94/1.24 % (3054446)Instructions burned: 121 (million)
% 3.94/1.24 % (3054447)Instruction limit reached!
% 3.94/1.24 % (3054447)------------------------------
% 3.94/1.24 % (3054447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.24 % (3054447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.24 % (3054447)CaDiCaL version: 2.1.3
% 3.94/1.24 % (3054447)Termination reason: Instruction limit
% 3.94/1.24 % (3054447)Termination phase: Saturation
% 3.94/1.24 % (3054447)Time elapsed: 0.053 s
% 3.94/1.24 % (3054447)Peak memory usage: 89 MB
% 3.94/1.24 % (3054447)Instructions burned: 139 (million)
% 3.94/1.24 % (3054445)------------------------------
% 3.94/1.24 % (3054445)------------------------------
% 3.94/1.24 % (3054457)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1042096254:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 3.94/1.24 % (3054456)lrs+10_1_sil=8000:sp=occurrence:random_seed=4278522482:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.94/1.24 % (3054458)lrs+1011_1_sil=32000:sp=occurrence:random_seed=665595101:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 3.94/1.24 % (3054457)Instruction limit reached!
% 3.94/1.24 % (3054457)------------------------------
% 3.94/1.24 % (3054457)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.24 % (3054457)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.24 % (3054457)CaDiCaL version: 2.1.3
% 3.94/1.24 % (3054457)Termination reason: Instruction limit
% 3.94/1.24 % (3054457)Termination phase: Saturation
% 3.94/1.24 % (3054457)Time elapsed: 0.045 s
% 3.94/1.24 % (3054457)Peak memory usage: 90 MB
% 3.94/1.24 % (3054457)Instructions burned: 159 (million)
% 3.94/1.24 % (3054456)Instruction limit reached!
% 3.94/1.24 % (3054456)------------------------------
% 3.94/1.24 % (3054456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.24 % (3054456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.24 % (3054456)CaDiCaL version: 2.1.3
% 3.94/1.24 % (3054456)Termination reason: Instruction limit
% 3.94/1.24 % (3054456)Termination phase: Saturation
% 3.94/1.24 % (3054456)Time elapsed: 0.099 s
% 3.94/1.24 % (3054456)Peak memory usage: 92 MB
% 3.94/1.24 % (3054456)Instructions burned: 288 (million)
% 3.94/1.24 % (3054459)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=24296190:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.94/1.24 % (3054458)Instruction limit reached!
% 3.94/1.24 % (3054458)------------------------------
% 3.94/1.24 % (3054458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.24 % (3054458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.24 % (3054458)CaDiCaL version: 2.1.3
% 3.94/1.24 % (3054458)Termination reason: Instruction limit
% 3.94/1.24 % (3054458)Termination phase: Saturation
% 3.94/1.24 % (3054458)Time elapsed: 0.128 s
% 3.94/1.24 % (3054458)Peak memory usage: 92 MB
% 3.94/1.24 % (3054458)Instructions burned: 327 (million)
% 3.94/1.24 % (3054463)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3194160467:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 3.94/1.24 % (3054459)First to succeed.
% 3.94/1.24 % (3054459)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3054437"
% 3.94/1.24 % (3054444)Also succeeded, but the first one will report.
% 3.94/1.24 % (3054464)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=959930479:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 3.94/1.24 % (3054463)Instruction limit reached!
% 3.94/1.24 % (3054463)------------------------------
% 3.94/1.24 % (3054463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.24 % (3054463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.24 % (3054463)CaDiCaL version: 2.1.3
% 3.94/1.24 % (3054463)Termination reason: Instruction limit
% 3.94/1.24 % (3054463)Termination phase: Saturation
% 3.94/1.24 % (3054463)Time elapsed: 0.078 s
% 3.94/1.24 % (3054463)Peak memory usage: 89 MB
% 3.94/1.24 % (3054463)Instructions burned: 295 (million)
% 3.94/1.24 % (3054466)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1796327764:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 3.94/1.24 % (3054466)Instruction limit reached!
% 3.94/1.24 % (3054466)------------------------------
% 3.94/1.24 % (3054466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.24 % (3054466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.24 % (3054466)CaDiCaL version: 2.1.3
% 3.94/1.24 % (3054466)Termination reason: Instruction limit
% 3.94/1.24 % (3054466)Termination phase: Saturation
% 3.94/1.24 % (3054466)Time elapsed: 0.047 s
% 3.94/1.24 % (3054466)Peak memory usage: 90 MB
% 3.94/1.24 % (3054466)Instructions burned: 115 (million)
% 3.94/1.24 % (3054459)Refutation found. Thanks to Tanya!
% 3.94/1.24 % SZS status Theorem for theBenchmark
% 3.94/1.24 % SZS output start Proof for theBenchmark
% See solution above
% 4.73/1.34 % (3054459)------------------------------
% 4.73/1.34 % (3054459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.34 % (3054459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.34 % (3054459)CaDiCaL version: 2.1.3
% 4.73/1.34 % (3054459)Termination reason: Refutation
% 4.73/1.34 % (3054459)Time elapsed: 0.071 s
% 4.73/1.34 % (3054459)Peak memory usage: 92 MB
% 4.73/1.34 % (3054459)Instructions burned: 218 (million)
% 4.73/1.34 % (3054459)------------------------------
% 4.73/1.34 % (3054459)------------------------------
% 4.73/1.34 % (3054437)Success in time 0.646 s
% 4.73/1.34 % Vampire exiting
%------------------------------------------------------------------------------