%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU263+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:48:04 PM UTC 2026
% Result : Theorem 11.12s 2.47s
% Output : Refutation 11.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 59 ( 14 unt; 2 def)
% Number of atoms : 131 ( 2 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 126 ( 54 ~; 47 |; 12 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 2 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 106 ( 0 sgn 98 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f29,axiom,
! [X0,X1,X2] :
( relation_of2(X2,X0,X1)
<=> subset(X2,cartesian_product2(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_relset_1) ).
fof(f109,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f184,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f198,axiom,
! [X0,X1,X2,X3] :
( ( subset(X0,X1)
& subset(X2,X3) )
=> subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t119_zfmisc_1) ).
fof(f199,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( subset(relation_dom(X2),X0)
& subset(relation_rng(X2),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_relset_1) ).
fof(f210,conjecture,
! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(relation_rng(X3),X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_relset_1) ).
fof(f211,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( relation_of2_as_subset(X3,X2,X0)
=> ( subset(relation_rng(X3),X1)
=> relation_of2_as_subset(X3,X2,X1) ) ),
inference(negated_conjecture,[status(cth)],[f210]) ).
fof(f225,axiom,
! [X0,X1,X2] :
( ( subset(X0,X1)
& subset(X1,X2) )
=> subset(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f231,axiom,
! [X0] :
( relation(X0)
=> subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_relat_1) ).
fof(f349,plain,
! [X0,X1,X2] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f6]) ).
fof(f424,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f109]) ).
fof(f495,plain,
! [X0,X1,X2,X3] :
( subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
| ~ subset(X0,X1)
| ~ subset(X2,X3) ),
inference(ennf_transformation,[],[f198]) ).
fof(f496,plain,
! [X0,X1,X2,X3] :
( subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
| ~ subset(X0,X1)
| ~ subset(X2,X3) ),
inference(flattening,[],[f495]) ).
fof(f497,plain,
! [X0,X1,X2] :
( ( subset(relation_dom(X2),X0)
& subset(relation_rng(X2),X1) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f199]) ).
fof(f512,plain,
? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(relation_rng(X3),X1)
& relation_of2_as_subset(X3,X2,X0) ),
inference(ennf_transformation,[],[f211]) ).
fof(f513,plain,
? [X0,X1,X2,X3] :
( ~ relation_of2_as_subset(X3,X2,X1)
& subset(relation_rng(X3),X1)
& relation_of2_as_subset(X3,X2,X0) ),
inference(flattening,[],[f512]) ).
fof(f529,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(ennf_transformation,[],[f225]) ).
fof(f530,plain,
! [X0,X1,X2] :
( subset(X0,X2)
| ~ subset(X0,X1)
| ~ subset(X1,X2) ),
inference(flattening,[],[f529]) ).
fof(f538,plain,
! [X0] :
( subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f231]) ).
fof(f705,plain,
! [X0,X1,X2] :
( ( relation_of2(X2,X0,X1)
| ~ subset(X2,cartesian_product2(X0,X1)) )
& ( subset(X2,cartesian_product2(X0,X1))
| ~ relation_of2(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f851,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f184]) ).
fof(f861,plain,
( ~ relation_of2_as_subset(sK113,sK112,sK111)
& subset(relation_rng(sK113),sK111)
& relation_of2_as_subset(sK113,sK112,sK110) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK110,sK111,sK112,sK113]),skolemize(X0,sK110),skolemize(X1,sK111),skolemize(X2,sK112),skolemize(X3,sK113)],[f513]) ).
fof(f923,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(cnf_transformation,[],[f349]) ).
fof(f1004,plain,
! [X2,X0,X1] :
( ~ subset(X2,cartesian_product2(X0,X1))
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f705]) ).
fof(f1213,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f424]) ).
fof(f1360,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f851]) ).
fof(f1380,plain,
! [X2,X3,X0,X1] :
( subset(cartesian_product2(X0,X2),cartesian_product2(X1,X3))
| ~ subset(X0,X1)
| ~ subset(X2,X3) ),
inference(cnf_transformation,[],[f496]) ).
fof(f1382,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| subset(relation_dom(X2),X0) ),
inference(cnf_transformation,[],[f497]) ).
fof(f1398,plain,
relation_of2_as_subset(sK113,sK112,sK110),
inference(cnf_transformation,[],[f861]) ).
fof(f1399,plain,
subset(relation_rng(sK113),sK111),
inference(cnf_transformation,[],[f861]) ).
fof(f1400,plain,
~ relation_of2_as_subset(sK113,sK112,sK111),
inference(cnf_transformation,[],[f861]) ).
fof(f1420,plain,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ subset(X0,X1)
| subset(X0,X2) ),
inference(cnf_transformation,[],[f530]) ).
fof(f1430,plain,
! [X0] :
( subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f538]) ).
fof(f1895,definition,
sF131 = relation_rng(sK113),
introduced(definition,[new_symbols(definition,[sF131])],[function_definition]) ).
fof(f1896,plain,
relation_rng(sK113) = sF131,
inference(reorient_equations,[],[f1895]) ).
fof(f1897,plain,
subset(sF131,sK111),
inference(definition_folding,[],[f1399,f1896]) ).
fof(f1931,plain,
subset(relation_dom(sK113),sK112),
inference(resolution,[],[f1382,f1398]) ).
fof(f2010,definition,
( spl132_13
<=> relation(sK113) ),
introduced(definition,[new_symbols(definition,[spl132_13])],[avatar_definition]) ).
fof(f2011,plain,
( relation(sK113)
| ~ spl132_13 ),
inference(avatar_component_clause,[],[f2010]) ).
fof(f2012,plain,
( ~ relation(sK113)
| spl132_13 ),
inference(avatar_component_clause,[],[f2010]) ).
fof(f2021,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| relation(X0) ),
inference(resolution,[],[f923,f1213]) ).
fof(f2022,plain,
relation(sK113),
inference(resolution,[],[f2021,f1398]) ).
fof(f2023,plain,
( $false
| spl132_13 ),
inference(forward_subsumption_resolution,[],[f2022,f2012]) ).
fof(f2024,plain,
spl132_13,
inference(avatar_contradiction_clause,[],[f2023]) ).
fof(f2032,plain,
! [X2,X3,X0,X1,X4] :
( ~ subset(X4,cartesian_product2(X0,X2))
| ~ subset(X2,X3)
| ~ subset(X0,X1)
| subset(X4,cartesian_product2(X1,X3)) ),
inference(resolution,[],[f1380,f1420]) ).
fof(f2075,plain,
( subset(sK113,cartesian_product2(relation_dom(sK113),sF131))
| ~ relation(sK113) ),
inference(superposition,[],[f1430,f1896]) ).
fof(f2076,plain,
( subset(sK113,cartesian_product2(relation_dom(sK113),sF131))
| ~ spl132_13 ),
inference(forward_subsumption_resolution,[],[f2075,f2011]) ).
fof(f6577,plain,
( ! [X0,X1] :
( subset(sK113,cartesian_product2(X1,X0))
| ~ subset(relation_dom(sK113),X1)
| ~ subset(sF131,X0) )
| ~ spl132_13 ),
inference(resolution,[],[f2032,f2076]) ).
fof(f6581,plain,
( ! [X0,X1] :
( ~ subset(relation_dom(sK113),X0)
| ~ subset(sF131,X1)
| relation_of2(sK113,X0,X1) )
| ~ spl132_13 ),
inference(resolution,[],[f6577,f1004]) ).
fof(f6593,plain,
( ! [X0] :
( relation_of2(sK113,sK112,X0)
| ~ subset(sF131,X0) )
| ~ spl132_13 ),
inference(resolution,[],[f6581,f1931]) ).
fof(f6628,plain,
( ! [X0] :
( relation_of2_as_subset(sK113,sK112,X0)
| ~ subset(sF131,X0) )
| ~ spl132_13 ),
inference(resolution,[],[f6593,f1360]) ).
fof(f6629,plain,
( ~ subset(sF131,sK111)
| ~ spl132_13 ),
inference(resolution,[],[f6628,f1400]) ).
fof(f6639,plain,
( $false
| ~ spl132_13 ),
inference(forward_subsumption_resolution,[],[f6629,f1897]) ).
fof(f6640,plain,
~ spl132_13,
inference(avatar_contradiction_clause,[],[f6639]) ).
cnf(s9,plain,
spl132_13,
inference(sat_conversion,[],[f2024]) ).
cnf(s340,plain,
~ spl132_13,
inference(sat_conversion,[],[f6640]) ).
cnf(s341,plain,
$false,
inference(rat,[],[s9,s340]) ).
fof(f6641,plain,
$false,
inference(avatar_sat_refutation,[],[s341]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU263+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n008.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 04:23:54 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 11.12/2.47 % (1868431)Detected formulas, will run a generic FOF schedule.
% 11.12/2.47 % (1868438)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=2061671833:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.12/2.47 % (1868440)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3291192710:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.12/2.47 % (1868442)dis-21_1_sil=8000:lcm=predicate:random_seed=314874887: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)
% 11.12/2.47 % (1868439)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2443308972:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.12/2.47 % (1868437)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=3839690864:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.12/2.47 % (1868436)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=909260724:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.12/2.47 % (1868441)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3810378845:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.12/2.47 % (1868442)Instruction limit reached!
% 11.12/2.47 % (1868442)------------------------------
% 11.12/2.47 % (1868442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.47 % (1868442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.47 % (1868442)CaDiCaL version: 2.1.3
% 11.12/2.47 % (1868442)Termination reason: Instruction limit
% 11.12/2.47 % (1868442)Termination phase: Saturation
% 11.12/2.47 % (1868442)Time elapsed: 0.066 s
% 11.12/2.47 % (1868442)Peak memory usage: 90 MB
% 11.12/2.47 % (1868442)Instructions burned: 131 (million)
% 11.12/2.47 % (1868439)Instruction limit reached!
% 11.12/2.47 % (1868439)------------------------------
% 11.12/2.47 % (1868439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.47 % (1868439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.47 % (1868439)CaDiCaL version: 2.1.3
% 11.12/2.47 % (1868439)Termination reason: Instruction limit
% 11.12/2.47 % (1868439)Termination phase: Saturation
% 11.12/2.47 % (1868439)Time elapsed: 0.069 s
% 11.12/2.47 % (1868439)Peak memory usage: 90 MB
% 11.12/2.47 % (1868439)Instructions burned: 110 (million)
% 11.12/2.47 % (1868440)Instruction limit reached!
% 11.12/2.47 % (1868440)------------------------------
% 11.12/2.47 % (1868440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.47 % (1868440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.47 % (1868440)CaDiCaL version: 2.1.3
% 11.12/2.47 % (1868440)Termination reason: Instruction limit
% 11.12/2.47 % (1868440)Termination phase: Saturation
% 11.12/2.47 % (1868440)Time elapsed: 0.078 s
% 11.12/2.47 % (1868440)Peak memory usage: 89 MB
% 11.12/2.47 % (1868440)Instructions burned: 119 (million)
% 11.12/2.47 % (1868441)Instruction limit reached!
% 11.12/2.47 % (1868441)------------------------------
% 11.12/2.47 % (1868441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.47 % (1868441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.47 % (1868441)CaDiCaL version: 2.1.3
% 11.12/2.47 % (1868441)Termination reason: Instruction limit
% 11.12/2.47 % (1868441)Termination phase: Saturation
% 11.12/2.47 % (1868441)Time elapsed: 0.101 s
% 11.12/2.47 % (1868441)Peak memory usage: 91 MB
% 11.12/2.47 % (1868441)Instructions burned: 140 (million)
% 11.12/2.47 % (1868451)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4166801442:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 11.12/2.47 % (1868450)lrs+10_1_sil=8000:sp=occurrence:random_seed=1760856291:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 11.12/2.47 % (1868452)lrs+1011_1_sil=32000:sp=occurrence:random_seed=500540783:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 11.12/2.47 % (1868453)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=177489108:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 11.12/2.47 % (1868451)Instruction limit reached!
% 11.12/2.47 % (1868451)------------------------------
% 11.12/2.47 % (1868451)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.47 % (1868451)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.47 % (1868451)CaDiCaL version: 2.1.3
% 11.12/2.47 % (1868451)Termination reason: Instruction limit
% 11.12/2.47 % (1868451)Termination phase: Saturation
% 11.12/2.47 % (1868451)Time elapsed: 0.085 s
% 11.12/2.47 % (1868451)Peak memory usage: 90 MB
% 11.12/2.47 % (1868451)Instructions burned: 158 (million)
% 11.12/2.47 % (1868450)Instruction limit reached!
% 11.12/2.47 % (1868450)------------------------------
% 11.12/2.47 % (1868450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.47 % (1868450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.47 % (1868450)CaDiCaL version: 2.1.3
% 11.12/2.47 % (1868450)Termination reason: Instruction limit
% 11.12/2.47 % (1868450)Termination phase: Saturation
% 11.12/2.47 % (1868450)Time elapsed: 0.186 s
% 11.12/2.47 % (1868450)Peak memory usage: 93 MB
% 11.12/2.47 % (1868450)Instructions burned: 285 (million)
% 11.12/2.47 % (1868453)Instruction limit reached!
% 11.12/2.47 % (1868453)------------------------------
% 11.12/2.47 % (1868453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.47 % (1868453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.47 % (1868453)CaDiCaL version: 2.1.3
% 11.12/2.47 % (1868453)Termination reason: Instruction limit
% 11.12/2.47 % (1868453)Termination phase: Saturation
% 11.12/2.47 % (1868453)Time elapsed: 0.144 s
% 11.12/2.47 % (1868453)Peak memory usage: 93 MB
% 11.12/2.47 % (1868453)Instructions burned: 249 (million)
% 11.12/2.47 % (1868452)Instruction limit reached!
% 11.12/2.47 % (1868452)------------------------------
% 11.12/2.47 % (1868452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.47 % (1868452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.47 % (1868452)CaDiCaL version: 2.1.3
% 11.12/2.47 % (1868452)Termination reason: Instruction limit
% 11.12/2.47 % (1868452)Termination phase: Saturation
% 11.12/2.47 % (1868452)Time elapsed: 0.221 s
% 11.12/2.47 % (1868452)Peak memory usage: 93 MB
% 11.12/2.47 % (1868452)Instructions burned: 325 (million)
% 11.12/2.47 % (1868458)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=286740520:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 11.12/2.47 % (1868459)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=249783499:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 11.12/2.47 % (1868460)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2773435210:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 11.12/2.47 % (1868461)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3875718153:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 11.12/2.47 % (1868460)Instruction limit reached!
% 11.12/2.47 % (1868460)------------------------------
% 11.12/2.47 % (1868460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.47 % (1868460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.47 % (1868460)CaDiCaL version: 2.1.3
% 11.12/2.47 % (1868460)Termination reason: Instruction limit
% 11.12/2.47 % (1868460)Termination phase: Saturation
% 11.12/2.47 % (1868460)Time elapsed: 0.070 s
% 11.12/2.47 % (1868460)Peak memory usage: 90 MB
% 11.12/2.47 % (1868460)Instructions burned: 114 (million)
% 11.12/2.47 % (1868458)Instruction limit reached!
% 11.12/2.47 % (1868458)------------------------------
% 11.12/2.47 % (1868458)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.47 % (1868458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.47 % (1868458)CaDiCaL version: 2.1.3
% 11.12/2.47 % (1868458)Termination reason: Instruction limit
% 11.12/2.47 % (1868458)Termination phase: Saturation
% 11.12/2.47 % (1868458)Time elapsed: 0.189 s
% 11.12/2.47 % (1868458)Peak memory usage: 91 MB
% 11.12/2.47 % (1868458)Instructions burned: 295 (million)
% 11.12/2.47 % (1868461)Instruction limit reached!
% 11.12/2.47 % (1868461)------------------------------
% 11.12/2.47 % (1868461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.47 % (1868461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.47 % (1868461)CaDiCaL version: 2.1.3
% 11.12/2.47 % (1868461)Termination reason: Instruction limit
% 11.12/2.47 % (1868461)Termination phase: Saturation
% 11.12/2.47 % (1868461)Time elapsed: 0.068 s
% 11.12/2.47 % (1868461)Peak memory usage: 90 MB
% 11.12/2.47 % (1868461)Instructions burned: 128 (million)
% 11.12/2.47 % (1868466)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1859970805:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 11.12/2.47 % (1868467)lrs+10_1_sil=8000:sp=occurrence:random_seed=4168295934:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 11.12/2.47 % (1868468)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2269503776:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 11.12/2.47 % (1868466)Instruction limit reached!
% 11.12/2.47 % (1868466)------------------------------
% 11.12/2.47 % (1868466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.47 % (1868466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.47 % (1868466)CaDiCaL version: 2.1.3
% 11.12/2.47 % (1868466)Termination reason: Instruction limit
% 11.12/2.47 % (1868466)Termination phase: Saturation
% 11.12/2.47 % (1868466)Time elapsed: 0.073 s
% 11.12/2.47 % (1868466)Peak memory usage: 89 MB
% 11.12/2.47 % (1868466)Instructions burned: 115 (million)
% 11.12/2.47 % (1868472)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1576322519:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 11.12/2.47 % (1868468)Instruction limit reached!
% 11.12/2.47 % (1868468)------------------------------
% 11.12/2.47 % (1868468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.47 % (1868468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.47 % (1868468)CaDiCaL version: 2.1.3
% 11.12/2.47 % (1868468)Termination reason: Instruction limit
% 11.12/2.47 % (1868468)Termination phase: Saturation
% 11.12/2.47 % (1868468)Time elapsed: 0.261 s
% 11.12/2.47 % (1868468)Peak memory usage: 93 MB
% 11.12/2.47 % (1868468)Instructions burned: 437 (million)
% 11.12/2.47 % (1868436)First to succeed.
% 11.12/2.47 % (1868436)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1868431"
% 11.12/2.47 % (1868474)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=771387692:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 11.12/2.47 % (1868474)Instruction limit reached!
% 11.12/2.47 % (1868474)------------------------------
% 11.12/2.47 % (1868474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.47 % (1868474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.47 % (1868474)CaDiCaL version: 2.1.3
% 11.12/2.47 % (1868474)Termination reason: Instruction limit
% 11.12/2.47 % (1868474)Termination phase: Saturation
% 11.12/2.47 % (1868474)Time elapsed: 0.080 s
% 11.12/2.47 % (1868474)Peak memory usage: 92 MB
% 11.12/2.47 % (1868474)Instructions burned: 136 (million)
% 11.12/2.47 % (1868467)Instruction limit reached!
% 11.12/2.47 % (1868467)------------------------------
% 11.12/2.47 % (1868467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.47 % (1868467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.47 % (1868467)CaDiCaL version: 2.1.3
% 11.12/2.47 % (1868467)Termination reason: Instruction limit
% 11.12/2.47 % (1868467)Termination phase: Saturation
% 11.12/2.47 % (1868467)Time elapsed: 0.566 s
% 11.12/2.47 % (1868467)Peak memory usage: 101 MB
% 11.12/2.47 % (1868467)Instructions burned: 908 (million)
% 11.12/2.47 % (1868436)Refutation found. Thanks to Tanya!
% 11.12/2.47 % SZS status Theorem for theBenchmark
% 11.12/2.47 % SZS output start Proof for theBenchmark
% See solution above
% 11.80/2.67 % (1868436)------------------------------
% 11.80/2.67 % (1868436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.80/2.67 % (1868436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.80/2.67 % (1868436)CaDiCaL version: 2.1.3
% 11.80/2.67 % (1868436)Termination reason: Refutation
% 11.80/2.67 % (1868436)Time elapsed: 1.160 s
% 11.80/2.67 % (1868436)Peak memory usage: 139 MB
% 11.80/2.67 % (1868436)Instructions burned: 1795 (million)
% 11.80/2.67 % (1868436)------------------------------
% 11.80/2.67 % (1868436)------------------------------
% 11.80/2.67 % (1868431)Success in time 1.593 s
% 11.80/2.67 % Vampire exiting
%------------------------------------------------------------------------------