%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU098+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 12:47:14 PM UTC 2026
% Result : Theorem 2.73s 1.38s
% Output : Refutation 4.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 14
% Syntax : Number of formulae : 89 ( 14 unt; 2 def)
% Number of atoms : 253 ( 15 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 283 ( 119 ~; 120 |; 27 &)
% ( 5 <=>; 10 =>; 0 <=; 2 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-4 aty)
% Number of variables : 102 ( 0 sgn 98 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0,X1] :
( relation(first_projection(X0,X1))
& function(first_projection(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_funct_3) ).
fof(f16,axiom,
! [X0,X1] :
( function(first_projection_as_func_of(X0,X1))
& quasi_total(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0)
& relation_of2_as_subset(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k9_funct_3) ).
fof(f22,axiom,
! [X0,X1] :
( ( relation(X0)
& function(X0)
& finite(X1) )
=> finite(relation_image(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc13_finset_1) ).
fof(f23,axiom,
! [X0,X1] :
( ( finite(X0)
& finite(X1) )
=> finite(cartesian_product2(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc14_finset_1) ).
fof(f62,axiom,
! [X0,X1,X2,X3] :
( ( function(X2)
& quasi_total(X2,X0,X1)
& relation_of2(X2,X0,X1) )
=> function_image(X0,X1,X2,X3) = relation_image(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
fof(f63,axiom,
! [X0,X1] : first_projection_as_func_of(X0,X1) = first_projection(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k9_funct_3) ).
fof(f64,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f66,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> function_image(cartesian_product2(relation_dom(X0),relation_rng(X0)),relation_dom(X0),first_projection_as_func_of(relation_dom(X0),relation_rng(X0)),X0) = relation_dom(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t100_funct_3) ).
fof(f67,axiom,
! [X0,X1] :
( ( subset(X0,X1)
& finite(X1) )
=> finite(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_finset_1) ).
fof(f71,axiom,
! [X0] :
( relation(X0)
=> subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_relat_1) ).
fof(f72,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( finite(relation_dom(X0))
=> finite(relation_rng(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_finset_1) ).
fof(f73,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ( finite(relation_dom(X0))
<=> finite(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t29_finset_1) ).
fof(f74,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ( finite(relation_dom(X0))
<=> finite(X0) ) ),
inference(negated_conjecture,[status(cth)],[f73]) ).
fof(f122,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ finite(X1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f123,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ finite(X1) ),
inference(flattening,[],[f122]) ).
fof(f124,plain,
! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X0)
| ~ finite(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f125,plain,
! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X0)
| ~ finite(X1) ),
inference(flattening,[],[f124]) ).
fof(f139,plain,
! [X0,X1,X2,X3] :
( function_image(X0,X1,X2,X3) = relation_image(X2,X3)
| ~ function(X2)
| ~ quasi_total(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f140,plain,
! [X0,X1,X2,X3] :
( function_image(X0,X1,X2,X3) = relation_image(X2,X3)
| ~ function(X2)
| ~ quasi_total(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) ),
inference(flattening,[],[f139]) ).
fof(f141,plain,
! [X0] :
( function_image(cartesian_product2(relation_dom(X0),relation_rng(X0)),relation_dom(X0),first_projection_as_func_of(relation_dom(X0),relation_rng(X0)),X0) = relation_dom(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f142,plain,
! [X0] :
( function_image(cartesian_product2(relation_dom(X0),relation_rng(X0)),relation_dom(X0),first_projection_as_func_of(relation_dom(X0),relation_rng(X0)),X0) = relation_dom(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f141]) ).
fof(f143,plain,
! [X0,X1] :
( finite(X0)
| ~ subset(X0,X1)
| ~ finite(X1) ),
inference(ennf_transformation,[],[f67]) ).
fof(f144,plain,
! [X0,X1] :
( finite(X0)
| ~ subset(X0,X1)
| ~ finite(X1) ),
inference(flattening,[],[f143]) ).
fof(f150,plain,
! [X0] :
( subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f151,plain,
! [X0] :
( finite(relation_rng(X0))
| ~ finite(relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f152,plain,
! [X0] :
( finite(relation_rng(X0))
| ~ finite(relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f151]) ).
fof(f153,plain,
? [X0] :
( ( finite(relation_dom(X0))
<~> finite(X0) )
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f154,plain,
? [X0] :
( ( finite(relation_dom(X0))
<~> finite(X0) )
& relation(X0)
& function(X0) ),
inference(flattening,[],[f153]) ).
fof(f192,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,[],[f64]) ).
fof(f193,plain,
? [X0] :
( ( ~ finite(X0)
| ~ finite(relation_dom(X0)) )
& ( finite(X0)
| finite(relation_dom(X0)) )
& relation(X0)
& function(X0) ),
inference(nnf_transformation,[],[f154]) ).
fof(f194,plain,
? [X0] :
( ( ~ finite(X0)
| ~ finite(relation_dom(X0)) )
& ( finite(X0)
| finite(relation_dom(X0)) )
& relation(X0)
& function(X0) ),
inference(flattening,[],[f193]) ).
fof(f195,plain,
( ( ~ finite(sK29)
| ~ finite(relation_dom(sK29)) )
& ( finite(sK29)
| finite(relation_dom(sK29)) )
& relation(sK29)
& function(sK29) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK29]),skolemize(X0,sK29)],[f194]) ).
fof(f222,plain,
! [X0,X1] : relation(first_projection(X0,X1)),
inference(cnf_transformation,[],[f15]) ).
fof(f223,plain,
! [X0,X1] : relation_of2_as_subset(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0),
inference(cnf_transformation,[],[f16]) ).
fof(f224,plain,
! [X0,X1] : quasi_total(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0),
inference(cnf_transformation,[],[f16]) ).
fof(f225,plain,
! [X0,X1] : function(first_projection_as_func_of(X0,X1)),
inference(cnf_transformation,[],[f16]) ).
fof(f232,plain,
! [X0,X1] :
( finite(relation_image(X0,X1))
| ~ relation(X0)
| ~ function(X0)
| ~ finite(X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f233,plain,
! [X0,X1] :
( finite(cartesian_product2(X0,X1))
| ~ finite(X0)
| ~ finite(X1) ),
inference(cnf_transformation,[],[f125]) ).
fof(f331,plain,
! [X2,X3,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| ~ function(X2)
| ~ quasi_total(X2,X0,X1)
| function_image(X0,X1,X2,X3) = relation_image(X2,X3) ),
inference(cnf_transformation,[],[f140]) ).
fof(f332,plain,
! [X0,X1] : first_projection(X0,X1) = first_projection_as_func_of(X0,X1),
inference(cnf_transformation,[],[f63]) ).
fof(f333,plain,
! [X2,X0,X1] :
( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f192]) ).
fof(f336,plain,
! [X0] :
( relation_dom(X0) = function_image(cartesian_product2(relation_dom(X0),relation_rng(X0)),relation_dom(X0),first_projection_as_func_of(relation_dom(X0),relation_rng(X0)),X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f337,plain,
! [X0,X1] :
( ~ subset(X0,X1)
| finite(X0)
| ~ finite(X1) ),
inference(cnf_transformation,[],[f144]) ).
fof(f341,plain,
! [X0] :
( subset(X0,cartesian_product2(relation_dom(X0),relation_rng(X0)))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f342,plain,
! [X0] :
( finite(relation_rng(X0))
| ~ finite(relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f343,plain,
function(sK29),
inference(cnf_transformation,[],[f195]) ).
fof(f344,plain,
relation(sK29),
inference(cnf_transformation,[],[f195]) ).
fof(f345,plain,
( finite(sK29)
| finite(relation_dom(sK29)) ),
inference(cnf_transformation,[],[f195]) ).
fof(f346,plain,
( ~ finite(sK29)
| ~ finite(relation_dom(sK29)) ),
inference(cnf_transformation,[],[f195]) ).
fof(f356,definition,
( spl30_1
<=> finite(relation_dom(sK29)) ),
introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).
fof(f357,plain,
( ~ finite(relation_dom(sK29))
| spl30_1 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f358,plain,
( finite(relation_dom(sK29))
| ~ spl30_1 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f360,definition,
( spl30_2
<=> finite(sK29) ),
introduced(definition,[new_symbols(definition,[spl30_2])],[avatar_definition]) ).
fof(f361,plain,
( ~ finite(sK29)
| spl30_2 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f362,plain,
( finite(sK29)
| ~ spl30_2 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f363,plain,
( spl30_1
| spl30_2 ),
inference(avatar_split_clause,[],[f345,f360,f356]) ).
fof(f364,plain,
( ~ spl30_1
| ~ spl30_2 ),
inference(avatar_split_clause,[],[f346,f360,f356]) ).
fof(f371,plain,
! [X0] :
( finite(X0)
| ~ relation(X0)
| ~ finite(cartesian_product2(relation_dom(X0),relation_rng(X0))) ),
inference(resolution,[],[f341,f337]) ).
fof(f431,plain,
! [X0,X1] : relation(first_projection_as_func_of(X0,X1)),
inference(superposition,[],[f222,f332]) ).
fof(f480,plain,
! [X2,X3,X0,X1] :
( ~ quasi_total(X0,X1,X2)
| ~ function(X0)
| ~ relation_of2_as_subset(X0,X1,X2)
| function_image(X1,X2,X0,X3) = relation_image(X0,X3) ),
inference(resolution,[],[f333,f331]) ).
fof(f584,plain,
! [X2,X0,X1] :
( ~ function(first_projection_as_func_of(X0,X1))
| ~ relation_of2_as_subset(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0)
| function_image(cartesian_product2(X0,X1),X0,first_projection_as_func_of(X0,X1),X2) = relation_image(first_projection_as_func_of(X0,X1),X2) ),
inference(resolution,[],[f480,f224]) ).
fof(f585,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(first_projection_as_func_of(X0,X1),cartesian_product2(X0,X1),X0)
| function_image(cartesian_product2(X0,X1),X0,first_projection_as_func_of(X0,X1),X2) = relation_image(first_projection_as_func_of(X0,X1),X2) ),
inference(forward_subsumption_resolution,[],[f584,f225]) ).
fof(f586,plain,
! [X2,X0,X1] : function_image(cartesian_product2(X0,X1),X0,first_projection_as_func_of(X0,X1),X2) = relation_image(first_projection_as_func_of(X0,X1),X2),
inference(forward_subsumption_resolution,[],[f585,f223]) ).
fof(f878,plain,
! [X0] :
( relation_dom(X0) = relation_image(first_projection_as_func_of(relation_dom(X0),relation_rng(X0)),X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(superposition,[],[f586,f336]) ).
fof(f1680,plain,
! [X0] :
( finite(relation_dom(X0))
| ~ relation(first_projection_as_func_of(relation_dom(X0),relation_rng(X0)))
| ~ function(first_projection_as_func_of(relation_dom(X0),relation_rng(X0)))
| ~ finite(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(superposition,[],[f232,f878]) ).
fof(f1681,plain,
! [X0] :
( finite(relation_dom(X0))
| ~ function(first_projection_as_func_of(relation_dom(X0),relation_rng(X0)))
| ~ finite(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_subsumption_resolution,[],[f1680,f431]) ).
fof(f1684,plain,
! [X0] :
( finite(relation_dom(X0))
| ~ finite(X0)
| ~ relation(X0)
| ~ function(X0) ),
inference(forward_subsumption_resolution,[],[f1681,f225]) ).
fof(f3021,plain,
( ~ finite(sK29)
| ~ relation(sK29)
| ~ function(sK29)
| spl30_1 ),
inference(resolution,[],[f1684,f357]) ).
fof(f3024,plain,
( ~ relation(sK29)
| ~ function(sK29)
| spl30_1
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f3021,f362]) ).
fof(f3025,plain,
( ~ function(sK29)
| spl30_1
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f3024,f344]) ).
fof(f3026,plain,
( $false
| spl30_1
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f3025,f343]) ).
fof(f3027,plain,
( spl30_1
| ~ spl30_2 ),
inference(avatar_contradiction_clause,[],[f3026]) ).
fof(f3041,plain,
( ~ relation(sK29)
| ~ finite(cartesian_product2(relation_dom(sK29),relation_rng(sK29)))
| spl30_2 ),
inference(resolution,[],[f361,f371]) ).
fof(f3044,plain,
( ~ finite(cartesian_product2(relation_dom(sK29),relation_rng(sK29)))
| spl30_2 ),
inference(forward_subsumption_resolution,[],[f3041,f344]) ).
fof(f3054,plain,
( ~ finite(relation_dom(sK29))
| ~ finite(relation_rng(sK29))
| spl30_2 ),
inference(resolution,[],[f3044,f233]) ).
fof(f3069,plain,
( ~ finite(relation_rng(sK29))
| ~ spl30_1
| spl30_2 ),
inference(forward_subsumption_resolution,[],[f3054,f358]) ).
fof(f3070,plain,
( ~ finite(relation_dom(sK29))
| ~ relation(sK29)
| ~ function(sK29)
| ~ spl30_1
| spl30_2 ),
inference(resolution,[],[f3069,f342]) ).
fof(f3085,plain,
( ~ relation(sK29)
| ~ function(sK29)
| ~ spl30_1
| spl30_2 ),
inference(forward_subsumption_resolution,[],[f3070,f358]) ).
fof(f3086,plain,
( ~ function(sK29)
| ~ spl30_1
| spl30_2 ),
inference(forward_subsumption_resolution,[],[f3085,f344]) ).
fof(f3087,plain,
( $false
| ~ spl30_1
| spl30_2 ),
inference(forward_subsumption_resolution,[],[f3086,f343]) ).
fof(f3088,plain,
( ~ spl30_1
| spl30_2 ),
inference(avatar_contradiction_clause,[],[f3087]) ).
cnf(s1,plain,
( spl30_1
| spl30_2 ),
inference(sat_conversion,[],[f363]) ).
cnf(s2,plain,
( ~ spl30_1
| ~ spl30_2 ),
inference(sat_conversion,[],[f364]) ).
cnf(s35,plain,
( spl30_1
| ~ spl30_2 ),
inference(sat_conversion,[],[f3027]) ).
cnf(s42,plain,
( ~ spl30_1
| spl30_2 ),
inference(sat_conversion,[],[f3088]) ).
cnf(s50,plain,
spl30_1,
inference(rat,[],[s1,s35]) ).
cnf(s51,plain,
spl30_2,
inference(rat,[],[s42,s50]) ).
cnf(s52,plain,
$false,
inference(rat,[],[s2,s51,s50]) ).
fof(f3089,plain,
$false,
inference(avatar_sat_refutation,[],[s52]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU098+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n001.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 03:39:28 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 2.73/1.38 % (4184093)Detected formulas, will run a generic FOF schedule.
% 2.73/1.38 % (4184102)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=570089091:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.73/1.38 % (4184102)Refutation not found, incomplete strategy
% 2.73/1.38 % (4184102)------------------------------
% 2.73/1.38 % (4184102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.38 % (4184102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.38 % (4184102)CaDiCaL version: 2.1.3
% 2.73/1.38 % (4184102)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.38 % (4184102)Time elapsed: 0.001 s
% 2.73/1.38 % (4184102)Peak memory usage: 88 MB
% 2.73/1.38 % (4184102)Instructions burned: 1 (million)
% 2.73/1.38 % (4184103)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1329838850:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.73/1.38 % (4184099)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=909427280:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.73/1.38 % (4184100)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=889526012:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.73/1.38 % (4184101)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2042940354:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.73/1.38 % (4184098)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=2746875090:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.73/1.38 % (4184101)Refutation not found, incomplete strategy
% 2.73/1.38 % (4184101)------------------------------
% 2.73/1.38 % (4184101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.38 % (4184101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.38 % (4184101)CaDiCaL version: 2.1.3
% 2.73/1.38 % (4184101)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.38 % (4184101)Time elapsed: 0.002 s
% 2.73/1.38 % (4184101)Peak memory usage: 88 MB
% 2.73/1.38 % (4184101)Instructions burned: 1 (million)
% 2.73/1.38 % (4184104)dis-21_1_sil=8000:lcm=predicate:random_seed=696794746: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)
% 2.73/1.38 % (4184103)First to succeed.
% 2.73/1.38 % (4184103)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4184093"
% 2.73/1.38 % (4184104)Instruction limit reached!
% 2.73/1.38 % (4184104)------------------------------
% 2.73/1.38 % (4184104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.38 % (4184104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.38 % (4184104)CaDiCaL version: 2.1.3
% 2.73/1.38 % (4184104)Termination reason: Instruction limit
% 2.73/1.38 % (4184104)Termination phase: Saturation
% 2.73/1.38 % (4184104)Time elapsed: 0.077 s
% 2.73/1.38 % (4184104)Peak memory usage: 90 MB
% 2.73/1.38 % (4184104)Instructions burned: 129 (million)
% 2.73/1.38 % (4184102)------------------------------
% 2.73/1.38 % (4184102)------------------------------
% 2.73/1.38 % (4184113)lrs+10_1_sil=32000:urr=on:br=off:random_seed=566670485:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.73/1.38 % (4184112)lrs+10_1_sil=8000:sp=occurrence:random_seed=3877891318:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.73/1.38 % (4184101)------------------------------
% 2.73/1.38 % (4184101)------------------------------
% 2.73/1.38 % (4184112)Also succeeded, but the first one will report.
% 2.73/1.38 % (4184113)Instruction limit reached!
% 2.73/1.38 % (4184113)------------------------------
% 2.73/1.38 % (4184113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.38 % (4184113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.38 % (4184113)CaDiCaL version: 2.1.3
% 2.73/1.38 % (4184113)Termination reason: Instruction limit
% 2.73/1.38 % (4184113)Termination phase: Saturation
% 2.73/1.38 % (4184113)Time elapsed: 0.049 s
% 2.73/1.38 % (4184113)Peak memory usage: 90 MB
% 2.73/1.38 % (4184113)Instructions burned: 158 (million)
% 2.73/1.38 % (4184103)Refutation found. Thanks to Tanya!
% 2.73/1.38 % SZS status Theorem for theBenchmark
% 2.73/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 4.12/1.58 % (4184103)------------------------------
% 4.12/1.58 % (4184103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.12/1.58 % (4184103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.12/1.58 % (4184103)CaDiCaL version: 2.1.3
% 4.12/1.58 % (4184103)Termination reason: Refutation
% 4.12/1.58 % (4184103)Time elapsed: 0.073 s
% 4.12/1.58 % (4184103)Peak memory usage: 90 MB
% 4.12/1.58 % (4184103)Instructions burned: 105 (million)
% 4.12/1.58 % (4184103)------------------------------
% 4.12/1.58 % (4184103)------------------------------
% 4.12/1.58 % (4184093)Success in time 0.501 s
% 4.12/1.58 % Vampire exiting
%------------------------------------------------------------------------------