%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM172-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/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 12:11:52 PM UTC 2026
% Result : Unsatisfiable 6.71s 2.01s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 29
% Syntax : Number of formulae : 95 ( 36 unt; 10 def)
% Number of atoms : 168 ( 51 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 136 ( 63 ~; 68 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-3 aty)
% Number of variables : 61 ( 0 sgn 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singleton_set) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',restriction1) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain1) ).
fof(f44,axiom,
! [X0] : union(X0,singleton(X0)) = successor(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f176,negated_conjecture,
member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_successor_is_different_1) ).
fof(f177,negated_conjecture,
successor(x) = x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_successor_is_different_2) ).
fof(f178,plain,
x = successor(x),
inference(reorient_equations,[],[f177]) ).
fof(f184,plain,
! [X0] : successor(X0) = complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),
inference(definition_unfolding,[],[f44,f26,f12]) ).
fof(f203,plain,
! [X0,X1] :
( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f28,f12]) ).
fof(f269,plain,
x = complement(intersection(complement(x),complement(unordered_pair(x,x)))),
inference(definition_unfolding,[],[f178,f184]) ).
fof(f276,definition,
sF0 = complement(x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f277,plain,
complement(x) = sF0,
inference(reorient_equations,[],[f276]) ).
fof(f278,definition,
sF1 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f279,plain,
unordered_pair(x,x) = sF1,
inference(reorient_equations,[],[f278]) ).
fof(f280,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f281,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f280]) ).
fof(f282,definition,
sF3 = intersection(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f283,plain,
intersection(sF0,sF2) = sF3,
inference(reorient_equations,[],[f282]) ).
fof(f284,definition,
sF4 = complement(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f285,plain,
complement(sF3) = sF4,
inference(reorient_equations,[],[f284]) ).
fof(f286,plain,
x = sF4,
inference(definition_folding,[],[f269,f285,f283,f281,f279,f277]) ).
fof(f287,plain,
x = complement(sF3),
inference(forward_demodulation,[],[f285,f286]) ).
fof(f291,plain,
! [X0] :
( ~ member(X0,sF2)
| ~ member(X0,sF1) ),
inference(superposition,[],[f24,f281]) ).
fof(f292,plain,
! [X0] :
( ~ member(X0,sF3)
| member(X0,sF2) ),
inference(superposition,[],[f22,f283]) ).
fof(f293,plain,
( member(x,sF1)
| ~ member(x,universal_class) ),
inference(superposition,[],[f9,f279]) ).
fof(f294,plain,
member(x,sF1),
inference(forward_subsumption_resolution,[],[f293,f176]) ).
fof(f296,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,x)
| member(X0,sF3) ),
inference(superposition,[],[f25,f287]) ).
fof(f299,plain,
( member(x,x)
| member(x,sF3) ),
inference(resolution,[],[f296,f176]) ).
fof(f301,definition,
( spl5_1
<=> member(x,sF3) ),
introduced(definition,[new_symbols(definition,[spl5_1])],[avatar_definition]) ).
fof(f303,plain,
( member(x,sF3)
| ~ spl5_1 ),
inference(avatar_component_clause,[],[f301]) ).
fof(f305,definition,
( spl5_2
<=> member(x,x) ),
introduced(definition,[new_symbols(definition,[spl5_2])],[avatar_definition]) ).
fof(f307,plain,
( member(x,x)
| ~ spl5_2 ),
inference(avatar_component_clause,[],[f305]) ).
fof(f308,plain,
( spl5_1
| spl5_2 ),
inference(avatar_split_clause,[],[f299,f305,f301]) ).
fof(f327,plain,
! [X0] :
( ~ member(X0,sF1)
| x = X0
| x = X0 ),
inference(superposition,[],[f8,f279]) ).
fof(f328,plain,
! [X0] :
( ~ member(X0,sF1)
| x = X0 ),
inference(duplicate_literal_removal,[],[f327]) ).
fof(f351,plain,
( null_class = sF1
| x = regular(sF1) ),
inference(resolution,[],[f68,f328]) ).
fof(f395,definition,
( spl5_11
<=> x = regular(sF1) ),
introduced(definition,[new_symbols(definition,[spl5_11])],[avatar_definition]) ).
fof(f397,plain,
( x = regular(sF1)
| ~ spl5_11 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f399,definition,
( spl5_12
<=> null_class = sF1 ),
introduced(definition,[new_symbols(definition,[spl5_12])],[avatar_definition]) ).
fof(f401,plain,
( null_class = sF1
| ~ spl5_12 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f402,plain,
( spl5_11
| spl5_12 ),
inference(avatar_split_clause,[],[f351,f399,f395]) ).
fof(f473,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f502,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f473,f3]) ).
fof(f524,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f502]) ).
fof(f546,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f524,f70]) ).
fof(f622,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0
| null_class = X0 ),
inference(resolution,[],[f7,f546]) ).
fof(f623,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f622]) ).
fof(f874,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f623,f524]) ).
fof(f887,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f203,f874]) ).
fof(f888,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f887]) ).
fof(f892,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f888,f68]) ).
fof(f898,plain,
! [X0] : ~ member(X0,null_class),
inference(superposition,[],[f888,f892]) ).
fof(f918,plain,
( null_class = intersection(sF1,x)
| null_class = sF1
| ~ spl5_11 ),
inference(superposition,[],[f70,f397]) ).
fof(f920,definition,
( spl5_23
<=> null_class = intersection(sF1,x) ),
introduced(definition,[new_symbols(definition,[spl5_23])],[avatar_definition]) ).
fof(f922,plain,
( null_class = intersection(sF1,x)
| ~ spl5_23 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f923,plain,
( spl5_12
| spl5_23
| ~ spl5_11 ),
inference(avatar_split_clause,[],[f918,f395,f920,f399]) ).
fof(f926,plain,
( member(x,null_class)
| ~ spl5_12 ),
inference(superposition,[],[f294,f401]) ).
fof(f928,plain,
( $false
| ~ spl5_12 ),
inference(forward_subsumption_resolution,[],[f926,f898]) ).
fof(f929,plain,
~ spl5_12,
inference(avatar_contradiction_clause,[],[f928]) ).
fof(f1050,plain,
( ! [X0] :
( member(X0,null_class)
| ~ member(X0,x)
| ~ member(X0,sF1) )
| ~ spl5_23 ),
inference(superposition,[],[f23,f922]) ).
fof(f1058,plain,
( ! [X0] :
( ~ member(X0,sF1)
| ~ member(X0,x) )
| ~ spl5_23 ),
inference(forward_subsumption_resolution,[],[f1050,f898]) ).
fof(f1065,plain,
( ~ member(x,x)
| ~ spl5_23 ),
inference(resolution,[],[f1058,f294]) ).
fof(f1066,plain,
( $false
| ~ spl5_2
| ~ spl5_23 ),
inference(forward_subsumption_resolution,[],[f1065,f307]) ).
fof(f1067,plain,
( ~ spl5_2
| ~ spl5_23 ),
inference(avatar_contradiction_clause,[],[f1066]) ).
fof(f1083,plain,
( member(x,sF2)
| ~ spl5_1 ),
inference(resolution,[],[f303,f292]) ).
fof(f1089,plain,
( ~ member(x,sF1)
| ~ spl5_1 ),
inference(resolution,[],[f1083,f291]) ).
fof(f1092,plain,
( $false
| ~ spl5_1 ),
inference(forward_subsumption_resolution,[],[f1089,f294]) ).
fof(f1093,plain,
~ spl5_1,
inference(avatar_contradiction_clause,[],[f1092]) ).
cnf(s1,plain,
( spl5_1
| spl5_2 ),
inference(sat_conversion,[],[f308]) ).
cnf(s7,plain,
( spl5_11
| spl5_12 ),
inference(sat_conversion,[],[f402]) ).
cnf(s15,plain,
( ~ spl5_11
| spl5_12
| spl5_23 ),
inference(sat_conversion,[],[f923]) ).
cnf(s16,plain,
~ spl5_12,
inference(sat_conversion,[],[f929]) ).
cnf(s17,plain,
( ~ spl5_2
| ~ spl5_23 ),
inference(sat_conversion,[],[f1067]) ).
cnf(s22,plain,
~ spl5_1,
inference(sat_conversion,[],[f1093]) ).
cnf(s23,plain,
( ~ spl5_11
| spl5_23 ),
inference(rat,[],[s15,s16]) ).
cnf(s27,plain,
spl5_11,
inference(rat,[],[s7,s16]) ).
cnf(s28,plain,
spl5_23,
inference(rat,[],[s23,s27]) ).
cnf(s29,plain,
~ spl5_2,
inference(rat,[],[s17,s28]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s1,s29,s22]) ).
fof(f1094,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM172-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n006.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 19:04:56 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 6.71/2.01 % (3259657)Input is clausal, will run a generic CNF schedule.
% 6.71/2.01 % (3259663)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3197143190:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.71/2.01 % (3259665)lrs+10_1_sil=8000:sp=occurrence:random_seed=3500176796:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.71/2.01 % (3259662)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=1313492581:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.71/2.01 % (3259666)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4130113823:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.71/2.01 % (3259668)dis-21_1_sil=8000:lcm=predicate:random_seed=2718404082:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.71/2.01 % (3259664)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=150565508:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.71/2.01 % (3259667)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1249713836:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.71/2.01 % (3259668)Instruction limit reached!
% 6.71/2.01 % (3259668)------------------------------
% 6.71/2.01 % (3259668)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.01 % (3259668)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.01 % (3259668)CaDiCaL version: 2.1.3
% 6.71/2.01 % (3259668)Termination reason: Instruction limit
% 6.71/2.01 % (3259668)Termination phase: Saturation
% 6.71/2.01 % (3259668)Time elapsed: 0.058 s
% 6.71/2.01 % (3259668)Peak memory usage: 89 MB
% 6.71/2.01 % (3259668)Instructions burned: 118 (million)
% 6.71/2.01 % (3259666)Instruction limit reached!
% 6.71/2.01 % (3259666)------------------------------
% 6.71/2.01 % (3259666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.01 % (3259666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.01 % (3259666)CaDiCaL version: 2.1.3
% 6.71/2.01 % (3259666)Termination reason: Instruction limit
% 6.71/2.01 % (3259666)Termination phase: Saturation
% 6.71/2.01 % (3259666)Time elapsed: 0.073 s
% 6.71/2.01 % (3259666)Peak memory usage: 89 MB
% 6.71/2.01 % (3259666)Instructions burned: 114 (million)
% 6.71/2.01 % (3259665)Instruction limit reached!
% 6.71/2.01 % (3259665)------------------------------
% 6.71/2.01 % (3259665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.01 % (3259665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.01 % (3259665)CaDiCaL version: 2.1.3
% 6.71/2.01 % (3259665)Termination reason: Instruction limit
% 6.71/2.01 % (3259665)Termination phase: Saturation
% 6.71/2.01 % (3259665)Time elapsed: 0.074 s
% 6.71/2.01 % (3259665)Peak memory usage: 90 MB
% 6.71/2.01 % (3259665)Instructions burned: 107 (million)
% 6.71/2.01 % (3259667)Instruction limit reached!
% 6.71/2.01 % (3259667)------------------------------
% 6.71/2.01 % (3259667)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.01 % (3259667)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.01 % (3259667)CaDiCaL version: 2.1.3
% 6.71/2.01 % (3259667)Termination reason: Instruction limit
% 6.71/2.01 % (3259667)Termination phase: Saturation
% 6.71/2.01 % (3259667)Time elapsed: 0.137 s
% 6.71/2.01 % (3259667)Peak memory usage: 91 MB
% 6.71/2.01 % (3259667)Instructions burned: 181 (million)
% 6.71/2.01 % (3259676)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3940051708:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.71/2.01 % (3259678)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1289638417:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.71/2.01 % (3259677)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4175180008:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.71/2.01 % (3259676)Instruction limit reached!
% 6.71/2.01 % (3259676)------------------------------
% 6.71/2.01 % (3259676)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.01 % (3259676)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.01 % (3259676)CaDiCaL version: 2.1.3
% 6.71/2.01 % (3259676)Termination reason: Instruction limit
% 6.71/2.01 % (3259676)Termination phase: Saturation
% 6.71/2.01 % (3259676)Time elapsed: 0.069 s
% 6.71/2.01 % (3259676)Peak memory usage: 88 MB
% 6.71/2.01 % (3259676)Instructions burned: 145 (million)
% 6.71/2.01 % (3259677)Instruction limit reached!
% 6.71/2.01 % (3259677)------------------------------
% 6.71/2.01 % (3259677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.01 % (3259677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.01 % (3259677)CaDiCaL version: 2.1.3
% 6.71/2.01 % (3259677)Termination reason: Instruction limit
% 6.71/2.01 % (3259677)Termination phase: Saturation
% 6.71/2.01 % (3259677)Time elapsed: 0.086 s
% 6.71/2.01 % (3259677)Peak memory usage: 91 MB
% 6.71/2.01 % (3259677)Instructions burned: 190 (million)
% 6.71/2.01 % (3259679)lrs+10_64_to=lpo:sil=8000:random_seed=162743121:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 6.71/2.01 % (3259678)Instruction limit reached!
% 6.71/2.01 % (3259678)------------------------------
% 6.71/2.01 % (3259678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.01 % (3259678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.01 % (3259678)CaDiCaL version: 2.1.3
% 6.71/2.01 % (3259678)Termination reason: Instruction limit
% 6.71/2.01 % (3259678)Termination phase: Saturation
% 6.71/2.01 % (3259678)Time elapsed: 0.147 s
% 6.71/2.01 % (3259678)Peak memory usage: 90 MB
% 6.71/2.01 % (3259678)Instructions burned: 220 (million)
% 6.71/2.01 % (3259685)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3902896237:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.71/2.01 % (3259679)Instruction limit reached!
% 6.71/2.01 % (3259679)------------------------------
% 6.71/2.01 % (3259679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.01 % (3259679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.01 % (3259679)CaDiCaL version: 2.1.3
% 6.71/2.01 % (3259679)Termination reason: Instruction limit
% 6.71/2.01 % (3259679)Termination phase: Saturation
% 6.71/2.01 % (3259679)Time elapsed: 0.083 s
% 6.71/2.01 % (3259679)Peak memory usage: 89 MB
% 6.71/2.01 % (3259679)Instructions burned: 127 (million)
% 6.71/2.01 % (3259683)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1027955919:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.71/2.01 % (3259685)Instruction limit reached!
% 6.71/2.01 % (3259685)------------------------------
% 6.71/2.01 % (3259685)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.01 % (3259685)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.01 % (3259685)CaDiCaL version: 2.1.3
% 6.71/2.01 % (3259685)Termination reason: Instruction limit
% 6.71/2.01 % (3259685)Termination phase: Saturation
% 6.71/2.01 % (3259685)Time elapsed: 0.061 s
% 6.71/2.01 % (3259685)Peak memory usage: 91 MB
% 6.71/2.01 % (3259685)Instructions burned: 158 (million)
% 6.71/2.01 % (3259686)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3792516034:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.71/2.01 % (3259683)Instruction limit reached!
% 6.71/2.01 % (3259683)------------------------------
% 6.71/2.01 % (3259683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.01 % (3259683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.01 % (3259683)CaDiCaL version: 2.1.3
% 6.71/2.01 % (3259683)Termination reason: Instruction limit
% 6.71/2.01 % (3259683)Termination phase: Saturation
% 6.71/2.01 % (3259683)Time elapsed: 0.119 s
% 6.71/2.01 % (3259683)Peak memory usage: 89 MB
% 6.71/2.01 % (3259683)Instructions burned: 195 (million)
% 6.71/2.01 % (3259688)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1730942648:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.71/2.01 % (3259690)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3955873855:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 6.71/2.01 % (3259690)Instruction limit reached!
% 6.71/2.01 % (3259690)------------------------------
% 6.71/2.01 % (3259690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.01 % (3259690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.01 % (3259690)CaDiCaL version: 2.1.3
% 6.71/2.01 % (3259690)Termination reason: Instruction limit
% 6.71/2.01 % (3259690)Termination phase: Saturation
% 6.71/2.01 % (3259690)Time elapsed: 0.038 s
% 6.71/2.01 % (3259690)Peak memory usage: 89 MB
% 6.71/2.01 % (3259690)Instructions burned: 107 (million)
% 6.71/2.01 % (3259688)Instruction limit reached!
% 6.71/2.01 % (3259688)------------------------------
% 6.71/2.01 % (3259688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.01 % (3259688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.01 % (3259688)CaDiCaL version: 2.1.3
% 6.71/2.01 % (3259688)Termination reason: Instruction limit
% 6.71/2.01 % (3259688)Termination phase: Saturation
% 6.71/2.01 % (3259688)Time elapsed: 0.056 s
% 6.71/2.01 % (3259688)Peak memory usage: 92 MB
% 6.71/2.01 % (3259688)Instructions burned: 107 (million)
% 6.71/2.01 % (3259692)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=901814312:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.71/2.01 % (3259695)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=26362804:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.71/2.01 % (3259696)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1014387878:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 6.71/2.01 % (3259662)First to succeed.
% 6.71/2.01 % (3259662)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3259657"
% 6.71/2.01 % (3259664)Also succeeded, but the first one will report.
% 6.71/2.01 % (3259696)Instruction limit reached!
% 6.71/2.01 % (3259696)------------------------------
% 6.71/2.01 % (3259696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.01 % (3259696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.01 % (3259696)CaDiCaL version: 2.1.3
% 6.71/2.01 % (3259696)Termination reason: Instruction limit
% 6.71/2.01 % (3259696)Termination phase: Saturation
% 6.71/2.01 % (3259696)Time elapsed: 0.068 s
% 6.71/2.01 % (3259696)Peak memory usage: 90 MB
% 6.71/2.01 % (3259696)Instructions burned: 136 (million)
% 6.71/2.01 % (3259692)Instruction limit reached!
% 6.71/2.01 % (3259692)------------------------------
% 6.71/2.01 % (3259692)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.71/2.01 % (3259692)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.71/2.01 % (3259692)CaDiCaL version: 2.1.3
% 6.71/2.01 % (3259692)Termination reason: Instruction limit
% 6.71/2.01 % (3259692)Termination phase: Saturation
% 6.71/2.01 % (3259692)Time elapsed: 0.169 s
% 6.71/2.01 % (3259692)Peak memory usage: 91 MB
% 6.71/2.01 % (3259692)Instructions burned: 242 (million)
% 6.71/2.01 % (3259700)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3802169676:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 6.71/2.01 % (3259701)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3938626854:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 6.71/2.01 % (3259662)Refutation found. Thanks to Tanya!
% 6.71/2.01 % SZS status Unsatisfiable for theBenchmark
% 6.71/2.01 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/2.21 % (3259662)------------------------------
% 0.17/2.21 % (3259662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/2.21 % (3259662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/2.21 % (3259662)CaDiCaL version: 2.1.3
% 0.17/2.21 % (3259662)Termination reason: Refutation
% 0.17/2.21 % (3259662)Time elapsed: 0.738 s
% 0.17/2.21 % (3259662)Peak memory usage: 131 MB
% 0.17/2.21 % (3259662)Instructions burned: 1109 (million)
% 0.17/2.21 % (3259662)------------------------------
% 0.17/2.21 % (3259662)------------------------------
% 0.17/2.21 % (3259657)Success in time 1.155 s
% 0.17/2.21 % Vampire exiting
%------------------------------------------------------------------------------