%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL456+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n010.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 11:52:30 AM UTC 2026
% Result : Theorem 9.41s 2.49s
% Output : Refutation 10.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of formulae : 81 ( 29 unt; 10 def)
% Number of atoms : 162 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 142 ( 61 ~; 57 |; 2 &)
% ( 15 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 17 ( 16 usr; 16 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 64 ( 0 sgn 62 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( modus_ponens
<=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modus_ponens) ).
fof(f10,axiom,
( or_1
<=> ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_1) ).
fof(f11,axiom,
( or_2
<=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_2) ).
fof(f12,axiom,
( or_3
<=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',or_3) ).
fof(f24,axiom,
( r3
<=> ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',r3) ).
fof(f35,axiom,
modus_ponens,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_modus_ponens) ).
fof(f43,axiom,
or_1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_or_1) ).
fof(f44,axiom,
or_2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_or_2) ).
fof(f45,axiom,
or_3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_or_3) ).
fof(f53,conjecture,
r3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',principia_r3) ).
fof(f54,negated_conjecture,
~ r3,
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f55,plain,
~ r3,
inference(flattening,[],[f54]) ).
fof(f56,plain,
( ! [X0,X1] : is_a_theorem(implies(or(X0,X1),or(X1,X0)))
=> r3 ),
inference(unused_predicate_definition_removal,[],[f24]) ).
fof(f60,plain,
( or_3
=> ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f61,plain,
( or_2
=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f11]) ).
fof(f62,plain,
( or_1
=> ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
inference(unused_predicate_definition_removal,[],[f10]) ).
fof(f71,plain,
( modus_ponens
=> ! [X0,X1] :
( ( is_a_theorem(X0)
& is_a_theorem(implies(X0,X1)) )
=> is_a_theorem(X1) ) ),
inference(unused_predicate_definition_removal,[],[f1]) ).
fof(f72,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(ennf_transformation,[],[f71]) ).
fof(f73,plain,
( ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) )
| ~ modus_ponens ),
inference(flattening,[],[f72]) ).
fof(f82,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1)))
| ~ or_1 ),
inference(ennf_transformation,[],[f62]) ).
fof(f83,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
| ~ or_2 ),
inference(ennf_transformation,[],[f61]) ).
fof(f84,plain,
( ! [X0,X1,X2] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2))))
| ~ or_3 ),
inference(ennf_transformation,[],[f60]) ).
fof(f88,plain,
( r3
| ? [X0,X1] : ~ is_a_theorem(implies(or(X0,X1),or(X1,X0))) ),
inference(ennf_transformation,[],[f56]) ).
fof(f94,plain,
( r3
| ~ is_a_theorem(implies(or(sK0,sK1),or(sK1,sK0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f88]) ).
fof(f95,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1))
| ~ modus_ponens ),
inference(cnf_transformation,[],[f73]) ).
fof(f104,plain,
! [X0,X1] :
( is_a_theorem(implies(X0,or(X0,X1)))
| ~ or_1 ),
inference(cnf_transformation,[],[f82]) ).
fof(f105,plain,
! [X0,X1] :
( is_a_theorem(implies(X1,or(X0,X1)))
| ~ or_2 ),
inference(cnf_transformation,[],[f83]) ).
fof(f106,plain,
! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2))))
| ~ or_3 ),
inference(cnf_transformation,[],[f84]) ).
fof(f110,plain,
( r3
| ~ is_a_theorem(implies(or(sK0,sK1),or(sK1,sK0))) ),
inference(cnf_transformation,[],[f94]) ).
fof(f119,plain,
modus_ponens,
inference(cnf_transformation,[],[f35]) ).
fof(f127,plain,
or_1,
inference(cnf_transformation,[],[f43]) ).
fof(f128,plain,
or_2,
inference(cnf_transformation,[],[f44]) ).
fof(f129,plain,
or_3,
inference(cnf_transformation,[],[f45]) ).
fof(f137,plain,
~ r3,
inference(cnf_transformation,[],[f55]) ).
fof(f179,definition,
( spl2_11
<=> is_a_theorem(implies(or(sK0,sK1),or(sK1,sK0))) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
fof(f181,plain,
( ~ is_a_theorem(implies(or(sK0,sK1),or(sK1,sK0)))
| spl2_11 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f183,definition,
( spl2_12
<=> r3 ),
introduced(definition,[new_symbols(definition,[spl2_12])],[avatar_definition]) ).
fof(f186,plain,
( ~ spl2_11
| spl2_12 ),
inference(avatar_split_clause,[],[f110,f183,f179]) ).
fof(f212,definition,
( spl2_19
<=> or_3 ),
introduced(definition,[new_symbols(definition,[spl2_19])],[avatar_definition]) ).
fof(f216,definition,
( spl2_20
<=> ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2)))) ),
introduced(definition,[new_symbols(definition,[spl2_20])],[avatar_definition]) ).
fof(f217,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X2),implies(implies(X1,X2),implies(or(X0,X1),X2))))
| ~ spl2_20 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f218,plain,
( ~ spl2_19
| spl2_20 ),
inference(avatar_split_clause,[],[f106,f216,f212]) ).
fof(f220,definition,
( spl2_21
<=> or_2 ),
introduced(definition,[new_symbols(definition,[spl2_21])],[avatar_definition]) ).
fof(f224,definition,
( spl2_22
<=> ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1))) ),
introduced(definition,[new_symbols(definition,[spl2_22])],[avatar_definition]) ).
fof(f225,plain,
( ! [X0,X1] : is_a_theorem(implies(X1,or(X0,X1)))
| ~ spl2_22 ),
inference(avatar_component_clause,[],[f224]) ).
fof(f226,plain,
( ~ spl2_21
| spl2_22 ),
inference(avatar_split_clause,[],[f105,f224,f220]) ).
fof(f228,definition,
( spl2_23
<=> or_1 ),
introduced(definition,[new_symbols(definition,[spl2_23])],[avatar_definition]) ).
fof(f232,definition,
( spl2_24
<=> ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1))) ),
introduced(definition,[new_symbols(definition,[spl2_24])],[avatar_definition]) ).
fof(f233,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,or(X0,X1)))
| ~ spl2_24 ),
inference(avatar_component_clause,[],[f232]) ).
fof(f234,plain,
( ~ spl2_23
| spl2_24 ),
inference(avatar_split_clause,[],[f104,f232,f228]) ).
fof(f300,definition,
( spl2_41
<=> modus_ponens ),
introduced(definition,[new_symbols(definition,[spl2_41])],[avatar_definition]) ).
fof(f304,definition,
( spl2_42
<=> ! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(X0)
| ~ is_a_theorem(implies(X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl2_42])],[avatar_definition]) ).
fof(f305,plain,
( ! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0)
| is_a_theorem(X1) )
| ~ spl2_42 ),
inference(avatar_component_clause,[],[f304]) ).
fof(f306,plain,
( ~ spl2_41
| spl2_42 ),
inference(avatar_split_clause,[],[f95,f304,f300]) ).
fof(f307,plain,
~ spl2_12,
inference(avatar_split_clause,[],[f137,f183]) ).
fof(f311,plain,
spl2_41,
inference(avatar_split_clause,[],[f119,f300]) ).
fof(f319,plain,
spl2_23,
inference(avatar_split_clause,[],[f127,f228]) ).
fof(f320,plain,
spl2_21,
inference(avatar_split_clause,[],[f128,f220]) ).
fof(f321,plain,
spl2_19,
inference(avatar_split_clause,[],[f129,f212]) ).
fof(f337,plain,
( ! [X0,X1] : ~ is_a_theorem(implies(implies(X0,or(X0,X1)),implies(or(sK0,sK1),or(sK1,sK0))))
| spl2_11
| ~ spl2_24
| ~ spl2_42 ),
inference(unit_resulting_resolution,[],[f305,f181,f233]) ).
fof(f5639,plain,
( ~ is_a_theorem(implies(sK0,or(sK1,sK0)))
| spl2_11
| ~ spl2_20
| ~ spl2_24
| ~ spl2_42 ),
inference(unit_resulting_resolution,[],[f305,f217,f337]) ).
fof(f5660,plain,
( $false
| spl2_11
| ~ spl2_20
| ~ spl2_22
| ~ spl2_24
| ~ spl2_42 ),
inference(forward_subsumption_resolution,[],[f5639,f225]) ).
fof(f5661,plain,
( spl2_11
| ~ spl2_20
| ~ spl2_22
| ~ spl2_24
| ~ spl2_42 ),
inference(avatar_contradiction_clause,[],[f5660]) ).
cnf(s6,plain,
( ~ spl2_11
| spl2_12 ),
inference(sat_conversion,[],[f186]) ).
cnf(s10,plain,
( ~ spl2_19
| spl2_20 ),
inference(sat_conversion,[],[f218]) ).
cnf(s11,plain,
( ~ spl2_21
| spl2_22 ),
inference(sat_conversion,[],[f226]) ).
cnf(s12,plain,
( ~ spl2_23
| spl2_24 ),
inference(sat_conversion,[],[f234]) ).
cnf(s21,plain,
( ~ spl2_41
| spl2_42 ),
inference(sat_conversion,[],[f306]) ).
cnf(s22,plain,
~ spl2_12,
inference(sat_conversion,[],[f307]) ).
cnf(s26,plain,
spl2_41,
inference(sat_conversion,[],[f311]) ).
cnf(s34,plain,
spl2_23,
inference(sat_conversion,[],[f319]) ).
cnf(s35,plain,
spl2_21,
inference(sat_conversion,[],[f320]) ).
cnf(s36,plain,
spl2_19,
inference(sat_conversion,[],[f321]) ).
cnf(s46,plain,
( spl2_11
| ~ spl2_20
| ~ spl2_22
| ~ spl2_24
| ~ spl2_42 ),
inference(sat_conversion,[],[f5661]) ).
cnf(s47,plain,
spl2_42,
inference(rat,[],[s21,s26]) ).
cnf(s56,plain,
spl2_24,
inference(rat,[],[s12,s34]) ).
cnf(s57,plain,
spl2_22,
inference(rat,[],[s11,s35]) ).
cnf(s58,plain,
spl2_20,
inference(rat,[],[s10,s36]) ).
cnf(s59,plain,
spl2_11,
inference(rat,[],[s46,s47,s56,s57,s58]) ).
cnf(s63,plain,
$false,
inference(rat,[],[s6,s22,s59]) ).
fof(f5662,plain,
$false,
inference(avatar_sat_refutation,[],[s63]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL456+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n010.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.44 % CPULimit : 300
% 0.17/0.44 % WCLimit : 300
% 0.17/0.44 % DateTime : Sun Sep 27 15:44:59 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 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
% 9.41/2.49 % (1122582)Detected formulas, will run a generic FOF schedule.
% 9.41/2.49 % (1122593)dis-21_1_sil=8000:lcm=predicate:random_seed=2507462277: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)
% 9.41/2.49 % (1122593)Refutation not found, incomplete strategy
% 9.41/2.49 % (1122593)------------------------------
% 9.41/2.49 % (1122593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.49 % (1122593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.49 % (1122593)CaDiCaL version: 2.1.3
% 9.41/2.49 % (1122593)Termination reason: Refutation not found, incomplete strategy
% 9.41/2.49 % (1122593)Time elapsed: 0.002 s
% 9.41/2.49 % (1122593)Peak memory usage: 88 MB
% 9.41/2.49 % (1122593)Instructions burned: 2 (million)
% 9.41/2.49 % (1122592)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3797148301:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.41/2.49 % (1122589)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=2999443718:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.41/2.49 % (1122587)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=211863417:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.41/2.49 % (1122590)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=784776746:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.41/2.49 % (1122591)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2944977740:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.41/2.49 % (1122588)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=703929550:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.41/2.49 % (1122591)Refutation not found, incomplete strategy
% 9.41/2.49 % (1122591)------------------------------
% 9.41/2.49 % (1122591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.49 % (1122591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.49 % (1122591)CaDiCaL version: 2.1.3
% 9.41/2.49 % (1122590)Refutation not found, incomplete strategy
% 9.41/2.49 % (1122590)------------------------------
% 9.41/2.49 % (1122590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.49 % (1122591)Termination reason: Refutation not found, incomplete strategy
% 9.41/2.49 % (1122591)Time elapsed: 0.001 s
% 9.41/2.49 % (1122591)Peak memory usage: 86 MB
% 9.41/2.49 % (1122590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.49 % (1122590)CaDiCaL version: 2.1.3
% 9.41/2.49 % (1122590)Termination reason: Refutation not found, incomplete strategy
% 9.41/2.49 % (1122590)Time elapsed: 0.001 s
% 9.41/2.49 % (1122590)Peak memory usage: 86 MB
% 9.41/2.49 % (1122592)Instruction limit reached!
% 9.41/2.49 % (1122592)------------------------------
% 9.41/2.49 % (1122592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.49 % (1122592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.49 % (1122592)CaDiCaL version: 2.1.3
% 9.41/2.49 % (1122592)Termination reason: Instruction limit
% 9.41/2.49 % (1122592)Termination phase: Saturation
% 9.41/2.49 % (1122592)Time elapsed: 0.106 s
% 9.41/2.49 % (1122592)Peak memory usage: 91 MB
% 9.41/2.49 % (1122592)Instructions burned: 139 (million)
% 9.41/2.49 % (1122593)------------------------------
% 9.41/2.49 % (1122593)------------------------------
% 9.41/2.49 % (1122601)lrs+10_1_sil=8000:sp=occurrence:random_seed=1271704225:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 9.41/2.49 % (1122601)Refutation not found, incomplete strategy
% 9.41/2.49 % (1122601)------------------------------
% 9.41/2.49 % (1122601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.49 % (1122601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.49 % (1122601)CaDiCaL version: 2.1.3
% 9.41/2.49 % (1122601)Termination reason: Refutation not found, incomplete strategy
% 9.41/2.49 % (1122601)Time elapsed: 0.001 s
% 9.41/2.49 % (1122601)Peak memory usage: 87 MB
% 9.41/2.49 % (1122590)------------------------------
% 9.41/2.49 % (1122590)------------------------------
% 9.41/2.49 % (1122591)------------------------------
% 9.41/2.49 % (1122591)------------------------------
% 9.41/2.49 % (1122602)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1334909401:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 9.41/2.49 % (1122602)Refutation not found, incomplete strategy
% 9.41/2.49 % (1122602)------------------------------
% 9.41/2.49 % (1122602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.49 % (1122602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.49 % (1122602)CaDiCaL version: 2.1.3
% 9.41/2.49 % (1122602)Termination reason: Refutation not found, incomplete strategy
% 9.41/2.49 % (1122602)Time elapsed: 0.001 s
% 9.41/2.49 % (1122602)Peak memory usage: 87 MB
% 9.41/2.49 % (1122605)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=2549536233:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 9.41/2.49 % (1122601)------------------------------
% 9.41/2.49 % (1122601)------------------------------
% 9.41/2.49 % (1122602)------------------------------
% 9.41/2.49 % (1122602)------------------------------
% 9.41/2.49 % (1122604)lrs+1011_1_sil=32000:sp=occurrence:random_seed=773267948:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 9.41/2.49 % (1122604)Refutation not found, incomplete strategy
% 9.41/2.49 % (1122604)------------------------------
% 9.41/2.49 % (1122604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.49 % (1122604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.49 % (1122604)CaDiCaL version: 2.1.3
% 9.41/2.49 % (1122604)Termination reason: Refutation not found, incomplete strategy
% 9.41/2.49 % (1122604)Time elapsed: 0.002 s
% 9.41/2.49 % (1122604)Peak memory usage: 86 MB
% 9.41/2.49 % (1122605)First to succeed.
% 9.41/2.49 % (1122605)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1122582"
% 9.41/2.49 % (1122589)Refutation not found, incomplete strategy
% 9.41/2.49 % (1122589)------------------------------
% 9.41/2.49 % (1122589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.49 % (1122589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.49 % (1122589)CaDiCaL version: 2.1.3
% 9.41/2.49 % (1122589)Termination reason: Refutation not found, incomplete strategy
% 9.41/2.49 % (1122589)Time elapsed: 0.896 s
% 9.41/2.49 % (1122589)Peak memory usage: 127 MB
% 9.41/2.49 % (1122589)Instructions burned: 831 (million)
% 9.41/2.49 % (1122609)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2495757049:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 9.41/2.49 % (1122608)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3076533485:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 9.41/2.49 % (1122608)Refutation not found, incomplete strategy
% 9.41/2.49 % (1122608)------------------------------
% 9.41/2.49 % (1122608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.41/2.49 % (1122608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.41/2.49 % (1122608)CaDiCaL version: 2.1.3
% 9.41/2.49 % (1122608)Termination reason: Refutation not found, incomplete strategy
% 9.41/2.49 % (1122608)Time elapsed: 0.001 s
% 9.41/2.49 % (1122608)Peak memory usage: 87 MB
% 9.41/2.49 % (1122587)Also succeeded, but the first one will report.
% 9.41/2.49 % (1122588)Also succeeded, but the first one will report.
% 9.41/2.49 % (1122604)------------------------------
% 9.41/2.49 % (1122604)------------------------------
% 9.41/2.49 % (1122605)Refutation found. Thanks to Tanya!
% 9.41/2.49 % SZS status Theorem for theBenchmark
% 9.41/2.49 % SZS output start Proof for theBenchmark
% See solution above
% 10.94/2.72 % (1122605)------------------------------
% 10.94/2.72 % (1122605)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.94/2.72 % (1122605)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.94/2.72 % (1122605)CaDiCaL version: 2.1.3
% 10.94/2.72 % (1122605)Termination reason: Refutation
% 10.94/2.72 % (1122605)Time elapsed: 0.152 s
% 10.94/2.72 % (1122605)Peak memory usage: 92 MB
% 10.94/2.72 % (1122605)Instructions burned: 151 (million)
% 10.94/2.72 % (1122605)------------------------------
% 10.94/2.72 % (1122605)------------------------------
% 10.94/2.72 % (1122582)Success in time 1.439 s
% 10.94/2.72 % Vampire exiting
%------------------------------------------------------------------------------