%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU353+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 : 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 12:48:30 PM UTC 2026
% Result : Theorem 8.44s 2.23s
% Output : Refutation 10.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 15
% Syntax : Number of formulae : 92 ( 33 unt; 6 def)
% Number of atoms : 214 ( 38 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 208 ( 86 ~; 87 |; 21 &)
% ( 4 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 4 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-4 aty)
% Number of variables : 67 ( 0 sgn 63 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,axiom,
! [X0] :
( one_sorted_str(X0)
=> identity_on_carrier(X0) = identity_as_relation_of(the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d11_grcat_1) ).
fof(f215,axiom,
! [X0] :
( one_sorted_str(X0)
=> ( function(identity_on_carrier(X0))
& quasi_total(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0))
& relation_of2_as_subset(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_grcat_1) ).
fof(f265,axiom,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ~ empty(the_carrier(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f404,axiom,
! [X0] : identity_as_relation_of(X0) = identity_relation(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
fof(f407,axiom,
! [X0,X1,X2,X3] :
( ( ~ empty(X0)
& function(X2)
& quasi_total(X2,X0,X1)
& relation_of2(X2,X0,X1)
& element(X3,X0) )
=> apply_as_element(X0,X1,X2,X3) = apply(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(f408,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(f550,axiom,
! [X0,X1] :
( element(X0,X1)
=> ( empty(X1)
| in(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f568,axiom,
! [X0,X1] :
( in(X1,X0)
=> apply(identity_relation(X0),X1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_funct_1) ).
fof(f658,conjecture,
! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t91_tmap_1) ).
fof(f659,negated_conjecture,
~ ! [X0] :
( ( ~ empty_carrier(X0)
& one_sorted_str(X0) )
=> ! [X1] :
( element(X1,the_carrier(X0))
=> apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) = X1 ) ),
inference(negated_conjecture,[status(cth)],[f658]) ).
fof(f795,plain,
! [X0] :
( identity_on_carrier(X0) = identity_as_relation_of(the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f969,plain,
! [X0] :
( ( function(identity_on_carrier(X0))
& quasi_total(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0))
& relation_of2_as_subset(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0)) )
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f215]) ).
fof(f1010,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(ennf_transformation,[],[f265]) ).
fof(f1011,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(flattening,[],[f1010]) ).
fof(f1153,plain,
! [X0,X1,X2,X3] :
( apply_as_element(X0,X1,X2,X3) = apply(X2,X3)
| empty(X0)
| ~ function(X2)
| ~ quasi_total(X2,X0,X1)
| ~ relation_of2(X2,X0,X1)
| ~ element(X3,X0) ),
inference(ennf_transformation,[],[f407]) ).
fof(f1154,plain,
! [X0,X1,X2,X3] :
( apply_as_element(X0,X1,X2,X3) = apply(X2,X3)
| empty(X0)
| ~ function(X2)
| ~ quasi_total(X2,X0,X1)
| ~ relation_of2(X2,X0,X1)
| ~ element(X3,X0) ),
inference(flattening,[],[f1153]) ).
fof(f1369,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(ennf_transformation,[],[f550]) ).
fof(f1370,plain,
! [X0,X1] :
( empty(X1)
| in(X0,X1)
| ~ element(X0,X1) ),
inference(flattening,[],[f1369]) ).
fof(f1393,plain,
! [X0,X1] :
( apply(identity_relation(X0),X1) = X1
| ~ in(X1,X0) ),
inference(ennf_transformation,[],[f568]) ).
fof(f1497,plain,
? [X0] :
( ? [X1] :
( apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) != X1
& element(X1,the_carrier(X0)) )
& ~ empty_carrier(X0)
& one_sorted_str(X0) ),
inference(ennf_transformation,[],[f659]) ).
fof(f1498,plain,
? [X0] :
( ? [X1] :
( apply_as_element(the_carrier(X0),the_carrier(X0),identity_on_carrier(X0),X1) != X1
& element(X1,the_carrier(X0)) )
& ~ empty_carrier(X0)
& one_sorted_str(X0) ),
inference(flattening,[],[f1497]) ).
fof(f1901,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,[],[f408]) ).
fof(f2249,plain,
( sK500 != apply_as_element(the_carrier(sK499),the_carrier(sK499),identity_on_carrier(sK499),sK500)
& element(sK500,the_carrier(sK499))
& ~ empty_carrier(sK499)
& one_sorted_str(sK499) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK499,sK500]),skolemize(X0,sK499),skolemize(X1,sK500)],[f1498]) ).
fof(f2357,plain,
! [X0] :
( ~ one_sorted_str(X0)
| identity_on_carrier(X0) = identity_as_relation_of(the_carrier(X0)) ),
inference(cnf_transformation,[],[f795]) ).
fof(f2817,plain,
! [X0] :
( relation_of2_as_subset(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f969]) ).
fof(f2818,plain,
! [X0] :
( quasi_total(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f969]) ).
fof(f2819,plain,
! [X0] :
( function(identity_on_carrier(X0))
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f969]) ).
fof(f2890,plain,
! [X0] :
( ~ empty(the_carrier(X0))
| empty_carrier(X0)
| ~ one_sorted_str(X0) ),
inference(cnf_transformation,[],[f1011]) ).
fof(f3253,plain,
! [X0] : identity_relation(X0) = identity_as_relation_of(X0),
inference(cnf_transformation,[],[f404]) ).
fof(f3256,plain,
! [X2,X3,X0,X1] :
( ~ quasi_total(X2,X0,X1)
| empty(X0)
| ~ function(X2)
| apply(X2,X3) = apply_as_element(X0,X1,X2,X3)
| ~ relation_of2(X2,X0,X1)
| ~ element(X3,X0) ),
inference(cnf_transformation,[],[f1154]) ).
fof(f3257,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_of2(X2,X0,X1) ),
inference(cnf_transformation,[],[f1901]) ).
fof(f3891,plain,
! [X0,X1] :
( ~ element(X0,X1)
| in(X0,X1)
| empty(X1) ),
inference(cnf_transformation,[],[f1370]) ).
fof(f3922,plain,
! [X0,X1] :
( apply(identity_relation(X0),X1) = X1
| ~ in(X1,X0) ),
inference(cnf_transformation,[],[f1393]) ).
fof(f4080,plain,
one_sorted_str(sK499),
inference(cnf_transformation,[],[f2249]) ).
fof(f4081,plain,
~ empty_carrier(sK499),
inference(cnf_transformation,[],[f2249]) ).
fof(f4082,plain,
element(sK500,the_carrier(sK499)),
inference(cnf_transformation,[],[f2249]) ).
fof(f4083,plain,
sK500 != apply_as_element(the_carrier(sK499),the_carrier(sK499),identity_on_carrier(sK499),sK500),
inference(cnf_transformation,[],[f2249]) ).
fof(f4468,plain,
! [X0,X1] :
( ~ in(X1,X0)
| apply(identity_as_relation_of(X0),X1) = X1 ),
inference(definition_unfolding,[],[f3922,f3253]) ).
fof(f4761,definition,
sF503 = the_carrier(sK499),
introduced(definition,[new_symbols(definition,[sF503])],[function_definition]) ).
fof(f4762,plain,
the_carrier(sK499) = sF503,
inference(reorient_equations,[],[f4761]) ).
fof(f4763,definition,
sF504 = identity_on_carrier(sK499),
introduced(definition,[new_symbols(definition,[sF504])],[function_definition]) ).
fof(f4764,plain,
identity_on_carrier(sK499) = sF504,
inference(reorient_equations,[],[f4763]) ).
fof(f4765,definition,
sF505 = apply_as_element(sF503,sF503,sF504,sK500),
introduced(definition,[new_symbols(definition,[sF505])],[function_definition]) ).
fof(f4766,plain,
apply_as_element(sF503,sF503,sF504,sK500) = sF505,
inference(reorient_equations,[],[f4765]) ).
fof(f4767,plain,
sK500 != sF505,
inference(definition_folding,[],[f4083,f4766,f4764,f4762,f4762]) ).
fof(f4768,plain,
element(sK500,sF503),
inference(definition_folding,[],[f4082,f4762]) ).
fof(f5111,plain,
identity_on_carrier(sK499) = identity_as_relation_of(the_carrier(sK499)),
inference(resolution,[],[f2357,f4080]) ).
fof(f5112,plain,
identity_on_carrier(sK499) = identity_as_relation_of(sF503),
inference(forward_demodulation,[],[f5111,f4762]) ).
fof(f5113,plain,
sF504 = identity_as_relation_of(sF503),
inference(forward_demodulation,[],[f5112,f4764]) ).
fof(f5115,plain,
( quasi_total(identity_on_carrier(sK499),sF503,sF503)
| ~ one_sorted_str(sK499) ),
inference(superposition,[],[f2818,f4762]) ).
fof(f5116,plain,
quasi_total(identity_on_carrier(sK499),sF503,sF503),
inference(forward_subsumption_resolution,[],[f5115,f4080]) ).
fof(f5118,plain,
quasi_total(sF504,sF503,sF503),
inference(forward_demodulation,[],[f5116,f4764]) ).
fof(f5121,plain,
( relation_of2_as_subset(identity_on_carrier(sK499),sF503,sF503)
| ~ one_sorted_str(sK499) ),
inference(superposition,[],[f2817,f4762]) ).
fof(f5122,plain,
relation_of2_as_subset(identity_on_carrier(sK499),sF503,sF503),
inference(forward_subsumption_resolution,[],[f5121,f4080]) ).
fof(f5124,plain,
relation_of2_as_subset(sF504,sF503,sF503),
inference(forward_demodulation,[],[f5122,f4764]) ).
fof(f5130,definition,
( spl506_59
<=> relation_of2(sF504,sF503,sF503) ),
introduced(definition,[new_symbols(definition,[spl506_59])],[avatar_definition]) ).
fof(f5131,plain,
( relation_of2(sF504,sF503,sF503)
| ~ spl506_59 ),
inference(avatar_component_clause,[],[f5130]) ).
fof(f5132,plain,
( ~ relation_of2(sF504,sF503,sF503)
| spl506_59 ),
inference(avatar_component_clause,[],[f5130]) ).
fof(f5134,definition,
( spl506_60
<=> function(sF504) ),
introduced(definition,[new_symbols(definition,[spl506_60])],[avatar_definition]) ).
fof(f5135,plain,
( function(sF504)
| ~ spl506_60 ),
inference(avatar_component_clause,[],[f5134]) ).
fof(f5138,definition,
( spl506_61
<=> empty(sF503) ),
introduced(definition,[new_symbols(definition,[spl506_61])],[avatar_definition]) ).
fof(f5139,plain,
( ~ empty(sF503)
| spl506_61 ),
inference(avatar_component_clause,[],[f5138]) ).
fof(f5146,plain,
( ~ empty(sF503)
| empty_carrier(sK499)
| ~ one_sorted_str(sK499) ),
inference(superposition,[],[f2890,f4762]) ).
fof(f5147,plain,
( ~ empty(sF503)
| ~ one_sorted_str(sK499) ),
inference(forward_subsumption_resolution,[],[f5146,f4081]) ).
fof(f5148,plain,
~ empty(sF503),
inference(forward_subsumption_resolution,[],[f5147,f4080]) ).
fof(f5149,plain,
~ spl506_61,
inference(avatar_split_clause,[],[f5148,f5138]) ).
fof(f5150,plain,
( function(sF504)
| ~ one_sorted_str(sK499) ),
inference(superposition,[],[f2819,f4764]) ).
fof(f5151,plain,
function(sF504),
inference(forward_subsumption_resolution,[],[f5150,f4080]) ).
fof(f5152,plain,
spl506_60,
inference(avatar_split_clause,[],[f5151,f5134]) ).
fof(f5154,plain,
! [X0] :
( empty(sF503)
| ~ function(sF504)
| apply(sF504,X0) = apply_as_element(sF503,sF503,sF504,X0)
| ~ relation_of2(sF504,sF503,sF503)
| ~ element(X0,sF503) ),
inference(resolution,[],[f3256,f5118]) ).
fof(f5173,plain,
relation_of2(sF504,sF503,sF503),
inference(resolution,[],[f3257,f5124]) ).
fof(f5174,plain,
( $false
| spl506_59 ),
inference(forward_subsumption_resolution,[],[f5173,f5132]) ).
fof(f5175,plain,
spl506_59,
inference(avatar_contradiction_clause,[],[f5174]) ).
fof(f5176,plain,
( ! [X0] :
( ~ function(sF504)
| apply(sF504,X0) = apply_as_element(sF503,sF503,sF504,X0)
| ~ relation_of2(sF504,sF503,sF503)
| ~ element(X0,sF503) )
| spl506_61 ),
inference(forward_subsumption_resolution,[],[f5154,f5139]) ).
fof(f5177,plain,
( ! [X0] :
( apply(sF504,X0) = apply_as_element(sF503,sF503,sF504,X0)
| ~ relation_of2(sF504,sF503,sF503)
| ~ element(X0,sF503) )
| ~ spl506_60
| spl506_61 ),
inference(forward_subsumption_resolution,[],[f5176,f5135]) ).
fof(f5178,plain,
( ! [X0] :
( ~ element(X0,sF503)
| apply(sF504,X0) = apply_as_element(sF503,sF503,sF504,X0) )
| ~ spl506_59
| ~ spl506_60
| spl506_61 ),
inference(forward_subsumption_resolution,[],[f5177,f5131]) ).
fof(f5180,plain,
( apply_as_element(sF503,sF503,sF504,sK500) = apply(sF504,sK500)
| ~ spl506_59
| ~ spl506_60
| spl506_61 ),
inference(resolution,[],[f5178,f4768]) ).
fof(f5183,plain,
( sF505 = apply(sF504,sK500)
| ~ spl506_59
| ~ spl506_60
| spl506_61 ),
inference(forward_demodulation,[],[f5180,f4766]) ).
fof(f5267,plain,
( in(sK500,sF503)
| empty(sF503) ),
inference(resolution,[],[f3891,f4768]) ).
fof(f5270,plain,
( in(sK500,sF503)
| spl506_61 ),
inference(forward_subsumption_resolution,[],[f5267,f5139]) ).
fof(f5272,plain,
( sK500 = apply(identity_as_relation_of(sF503),sK500)
| spl506_61 ),
inference(resolution,[],[f5270,f4468]) ).
fof(f5274,plain,
( sK500 = apply(sF504,sK500)
| spl506_61 ),
inference(forward_demodulation,[],[f5272,f5113]) ).
fof(f5275,plain,
( sK500 = sF505
| ~ spl506_59
| ~ spl506_60
| spl506_61 ),
inference(forward_demodulation,[],[f5274,f5183]) ).
fof(f5276,plain,
( $false
| ~ spl506_59
| ~ spl506_60
| spl506_61 ),
inference(forward_subsumption_resolution,[],[f5275,f4767]) ).
fof(f5277,plain,
( ~ spl506_59
| ~ spl506_60
| spl506_61 ),
inference(avatar_contradiction_clause,[],[f5276]) ).
cnf(s50,plain,
~ spl506_61,
inference(sat_conversion,[],[f5149]) ).
cnf(s51,plain,
spl506_60,
inference(sat_conversion,[],[f5152]) ).
cnf(s53,plain,
spl506_59,
inference(sat_conversion,[],[f5175]) ).
cnf(s55,plain,
( ~ spl506_59
| ~ spl506_60
| spl506_61 ),
inference(sat_conversion,[],[f5277]) ).
cnf(s56,plain,
spl506_61,
inference(rat,[],[s55,s53,s51]) ).
cnf(s57,plain,
$false,
inference(rat,[],[s50,s56]) ).
fof(f5278,plain,
$false,
inference(avatar_sat_refutation,[],[s57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU353+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n006.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 04:51:55 UTC 2026
% 0.15/0.38 % CPUTime :
% 0.15/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 8.44/2.23 % (3590167)Detected formulas, will run a generic FOF schedule.
% 8.44/2.23 % (3590177)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1823345200:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.44/2.23 % (3590173)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=3234771513:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.44/2.23 % (3590174)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=1395434511:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.44/2.23 % (3590175)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=2485232324:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.44/2.23 % (3590176)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2218061724:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.44/2.23 % (3590177)Instruction limit reached!
% 8.44/2.23 % (3590177)------------------------------
% 8.44/2.23 % (3590177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.23 % (3590177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.23 % (3590177)CaDiCaL version: 2.1.3
% 8.44/2.23 % (3590177)Termination reason: Instruction limit
% 8.44/2.23 % (3590177)Termination phase: Saturation
% 8.44/2.23 % (3590177)Time elapsed: 0.042 s
% 8.44/2.23 % (3590177)Peak memory usage: 91 MB
% 8.44/2.23 % (3590177)Instructions burned: 121 (million)
% 8.44/2.23 % (3590178)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=88810617:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.44/2.23 % (3590179)dis-21_1_sil=8000:lcm=predicate:random_seed=1806558836: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)
% 8.44/2.23 % (3590176)Instruction limit reached!
% 8.44/2.23 % (3590176)------------------------------
% 8.44/2.23 % (3590176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.23 % (3590176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.23 % (3590176)CaDiCaL version: 2.1.3
% 8.44/2.23 % (3590176)Termination reason: Instruction limit
% 8.44/2.23 % (3590176)Termination phase: Saturation
% 8.44/2.23 % (3590176)Time elapsed: 0.059 s
% 8.44/2.23 % (3590176)Peak memory usage: 91 MB
% 8.44/2.23 % (3590176)Instructions burned: 110 (million)
% 8.44/2.23 % (3590179)Instruction limit reached!
% 8.44/2.23 % (3590179)------------------------------
% 8.44/2.23 % (3590179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.23 % (3590179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.23 % (3590179)CaDiCaL version: 2.1.3
% 8.44/2.23 % (3590179)Termination reason: Instruction limit
% 8.44/2.23 % (3590179)Termination phase: Saturation
% 8.44/2.23 % (3590179)Time elapsed: 0.066 s
% 8.44/2.23 % (3590179)Peak memory usage: 91 MB
% 8.44/2.23 % (3590179)Instructions burned: 131 (million)
% 8.44/2.23 % (3590178)Instruction limit reached!
% 8.44/2.23 % (3590178)------------------------------
% 8.44/2.23 % (3590178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.23 % (3590178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.23 % (3590178)CaDiCaL version: 2.1.3
% 8.44/2.23 % (3590178)Termination reason: Instruction limit
% 8.44/2.23 % (3590178)Termination phase: Saturation
% 8.44/2.23 % (3590178)Time elapsed: 0.086 s
% 8.44/2.23 % (3590178)Peak memory usage: 92 MB
% 8.44/2.23 % (3590178)Instructions burned: 139 (million)
% 8.44/2.23 % (3590187)lrs+10_1_sil=8000:sp=occurrence:random_seed=3230554078:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.44/2.23 % (3590188)lrs+10_1_sil=32000:urr=on:br=off:random_seed=661301962:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.44/2.23 % (3590188)Refutation not found, incomplete strategy
% 8.44/2.23 % (3590188)------------------------------
% 8.44/2.23 % (3590188)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.23 % (3590188)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.23 % (3590188)CaDiCaL version: 2.1.3
% 8.44/2.23 % (3590188)Termination reason: Refutation not found, incomplete strategy
% 8.44/2.23 % (3590188)Time elapsed: 0.007 s
% 8.44/2.23 % (3590188)Peak memory usage: 89 MB
% 8.44/2.23 % (3590188)Instructions burned: 9 (million)
% 8.44/2.23 % (3590189)lrs+1011_1_sil=32000:sp=occurrence:random_seed=687071501:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.44/2.23 % (3590190)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=1419227873:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.44/2.23 % (3590187)Instruction limit reached!
% 8.44/2.23 % (3590187)------------------------------
% 8.44/2.23 % (3590187)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.23 % (3590187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.23 % (3590187)CaDiCaL version: 2.1.3
% 8.44/2.23 % (3590187)Termination reason: Instruction limit
% 8.44/2.23 % (3590187)Termination phase: Saturation
% 8.44/2.23 % (3590187)Time elapsed: 0.207 s
% 8.44/2.23 % (3590187)Peak memory usage: 95 MB
% 8.44/2.23 % (3590187)Instructions burned: 285 (million)
% 8.44/2.23 % (3590190)Instruction limit reached!
% 8.44/2.23 % (3590190)------------------------------
% 8.44/2.23 % (3590190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.23 % (3590190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.23 % (3590190)CaDiCaL version: 2.1.3
% 8.44/2.23 % (3590190)Termination reason: Instruction limit
% 8.44/2.23 % (3590190)Termination phase: Saturation
% 8.44/2.23 % (3590190)Time elapsed: 0.138 s
% 8.44/2.23 % (3590190)Peak memory usage: 94 MB
% 8.44/2.23 % (3590190)Instructions burned: 249 (million)
% 8.44/2.23 % (3590189)Instruction limit reached!
% 8.44/2.23 % (3590189)------------------------------
% 8.44/2.23 % (3590189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.23 % (3590189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.23 % (3590189)CaDiCaL version: 2.1.3
% 8.44/2.23 % (3590189)Termination reason: Instruction limit
% 8.44/2.23 % (3590189)Termination phase: Saturation
% 8.44/2.23 % (3590189)Time elapsed: 0.215 s
% 8.44/2.23 % (3590189)Peak memory usage: 95 MB
% 8.44/2.23 % (3590189)Instructions burned: 326 (million)
% 8.44/2.23 % (3590188)------------------------------
% 8.44/2.23 % (3590188)------------------------------
% 8.44/2.23 % (3590195)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3687715889:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 8.44/2.23 % (3590196)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=537005421:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 8.44/2.23 % (3590197)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2207229685:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 8.44/2.23 % (3590198)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3499454790:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 8.44/2.23 % (3590197)Instruction limit reached!
% 8.44/2.23 % (3590197)------------------------------
% 8.44/2.23 % (3590197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.23 % (3590197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.23 % (3590197)CaDiCaL version: 2.1.3
% 8.44/2.23 % (3590197)Termination reason: Instruction limit
% 8.44/2.23 % (3590197)Termination phase: Saturation
% 8.44/2.23 % (3590197)Time elapsed: 0.063 s
% 8.44/2.23 % (3590197)Peak memory usage: 92 MB
% 8.44/2.23 % (3590197)Instructions burned: 113 (million)
% 8.44/2.23 % (3590198)Instruction limit reached!
% 8.44/2.23 % (3590198)------------------------------
% 8.44/2.23 % (3590198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.23 % (3590198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.23 % (3590198)CaDiCaL version: 2.1.3
% 8.44/2.23 % (3590198)Termination reason: Instruction limit
% 8.44/2.23 % (3590198)Termination phase: Saturation
% 8.44/2.23 % (3590198)Time elapsed: 0.069 s
% 8.44/2.23 % (3590198)Peak memory usage: 91 MB
% 8.44/2.23 % (3590198)Instructions burned: 127 (million)
% 8.44/2.23 % (3590195)Instruction limit reached!
% 8.44/2.23 % (3590195)------------------------------
% 8.44/2.23 % (3590195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.23 % (3590195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.23 % (3590195)CaDiCaL version: 2.1.3
% 8.44/2.23 % (3590195)Termination reason: Instruction limit
% 8.44/2.23 % (3590195)Termination phase: Saturation
% 8.44/2.23 % (3590195)Time elapsed: 0.167 s
% 8.44/2.23 % (3590195)Peak memory usage: 93 MB
% 8.44/2.23 % (3590195)Instructions burned: 296 (million)
% 8.44/2.23 % (3590203)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1598268615:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 8.44/2.23 % (3590205)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=829726688:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 8.44/2.23 % (3590204)lrs+10_1_sil=8000:sp=occurrence:random_seed=4083165014:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 8.44/2.23 % (3590203)Instruction limit reached!
% 8.44/2.23 % (3590203)------------------------------
% 8.44/2.23 % (3590203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.23 % (3590203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.23 % (3590203)CaDiCaL version: 2.1.3
% 8.44/2.23 % (3590203)Termination reason: Instruction limit
% 8.44/2.23 % (3590203)Termination phase: Saturation
% 8.44/2.23 % (3590203)Time elapsed: 0.068 s
% 8.44/2.23 % (3590203)Peak memory usage: 89 MB
% 8.44/2.23 % (3590203)Instructions burned: 115 (million)
% 8.44/2.23 % (3590173)First to succeed.
% 8.44/2.23 % (3590173)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3590167"
% 8.44/2.23 % (3590205)Instruction limit reached!
% 8.44/2.23 % (3590205)------------------------------
% 8.44/2.23 % (3590205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.23 % (3590205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.23 % (3590205)CaDiCaL version: 2.1.3
% 8.44/2.23 % (3590205)Termination reason: Instruction limit
% 8.44/2.23 % (3590205)Termination phase: Saturation
% 8.44/2.23 % (3590205)Time elapsed: 0.144 s
% 8.44/2.23 % (3590205)Peak memory usage: 95 MB
% 8.44/2.23 % (3590205)Instructions burned: 439 (million)
% 8.44/2.23 % (3590209)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2535103474:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 8.44/2.23 % (3590174)Also succeeded, but the first one will report.
% 8.44/2.23 % (3590210)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=121173620:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 8.44/2.23 % (3590210)Instruction limit reached!
% 8.44/2.23 % (3590210)------------------------------
% 8.44/2.23 % (3590210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.44/2.23 % (3590210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.44/2.23 % (3590210)CaDiCaL version: 2.1.3
% 8.44/2.23 % (3590210)Termination reason: Instruction limit
% 8.44/2.23 % (3590210)Termination phase: Saturation
% 8.44/2.23 % (3590210)Time elapsed: 0.038 s
% 8.44/2.23 % (3590210)Peak memory usage: 92 MB
% 8.44/2.23 % (3590210)Instructions burned: 135 (million)
% 8.44/2.23 % (3590173)Refutation found. Thanks to Tanya!
% 8.44/2.23 % SZS status Theorem for theBenchmark
% 8.44/2.23 % SZS output start Proof for theBenchmark
% See solution above
% 10.16/2.43 % (3590173)------------------------------
% 10.16/2.43 % (3590173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.16/2.43 % (3590173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.16/2.43 % (3590173)CaDiCaL version: 2.1.3
% 10.16/2.43 % (3590173)Termination reason: Refutation
% 10.16/2.43 % (3590173)Time elapsed: 0.910 s
% 10.16/2.43 % (3590173)Peak memory usage: 155 MB
% 10.16/2.43 % (3590173)Instructions burned: 1634 (million)
% 10.16/2.43 % (3590173)------------------------------
% 10.16/2.43 % (3590173)------------------------------
% 10.16/2.43 % (3590167)Success in time 1.378 s
% 10.16/2.43 % Vampire exiting
%------------------------------------------------------------------------------