%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET518-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 12:41:05 PM UTC 2026
% Result : Unsatisfiable 8.54s 2.07s
% Output : Refutation 8.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 82 ( 13 unt; 5 def)
% Number of atoms : 214 ( 43 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 226 ( 94 ~; 127 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 55 ( 0 sgn 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f122,negated_conjecture,
member(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_no_cycles_length_2_1) ).
fof(f123,negated_conjecture,
member(y,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_no_cycles_length_2_2) ).
fof(f191,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| member(X0,X1)
| null_class = X1 ),
inference(superposition,[],[f21,f70]) ).
fof(f194,plain,
! [X0,X1] :
( ~ member(X0,regular(X1))
| member(X0,null_class)
| ~ member(X0,X1)
| null_class = X1 ),
inference(superposition,[],[f23,f70]) ).
fof(f196,plain,
! [X0] :
( ~ subclass(y,X0)
| member(x,X0) ),
inference(resolution,[],[f1,f122]) ).
fof(f197,plain,
! [X0] :
( ~ subclass(x,X0)
| member(y,X0) ),
inference(resolution,[],[f1,f123]) ).
fof(f199,plain,
member(x,universal_class),
inference(resolution,[],[f196,f4]) ).
fof(f201,plain,
member(y,universal_class),
inference(resolution,[],[f197,f4]) ).
fof(f220,plain,
! [X0,X1] :
( regular(unordered_pair(X0,X1)) = X1
| regular(unordered_pair(X0,X1)) = X0
| unordered_pair(X0,X1) = null_class ),
inference(resolution,[],[f8,f68]) ).
fof(f247,plain,
! [X2,X0,X1] :
( ~ member(X1,X0)
| member(X1,null_class)
| ~ member(X1,unordered_pair(X2,X0))
| null_class = unordered_pair(X2,X0)
| regular(unordered_pair(X2,X0)) = X2
| null_class = unordered_pair(X2,X0) ),
inference(superposition,[],[f194,f220]) ).
fof(f258,plain,
! [X2,X0,X1] :
( ~ member(X1,unordered_pair(X2,X0))
| member(X1,null_class)
| ~ member(X1,X0)
| null_class = unordered_pair(X2,X0)
| regular(unordered_pair(X2,X0)) = X2 ),
inference(duplicate_literal_removal,[],[f247]) ).
fof(f282,definition,
( spl0_1
<=> member(y,null_class) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f283,plain,
( ~ member(y,null_class)
| spl0_1 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f284,plain,
( member(y,null_class)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f282]) ).
fof(f295,definition,
( spl0_4
<=> member(x,null_class) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f296,plain,
( ~ member(x,null_class)
| spl0_4 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f297,plain,
( member(x,null_class)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f331,plain,
! [X0,X1] :
( ~ member(X0,universal_class)
| ~ member(X0,X1)
| unordered_pair(X0,X1) = null_class
| regular(unordered_pair(X0,X1)) = X0
| member(X0,null_class) ),
inference(resolution,[],[f258,f9]) ).
fof(f393,plain,
! [X0] :
( ~ member(x,X0)
| null_class = unordered_pair(x,X0)
| x = regular(unordered_pair(x,X0))
| member(x,null_class) ),
inference(resolution,[],[f331,f199]) ).
fof(f400,definition,
( spl0_12
<=> ! [X0] :
( ~ member(x,X0)
| x = regular(unordered_pair(x,X0))
| null_class = unordered_pair(x,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f401,plain,
( ! [X0] :
( ~ member(x,X0)
| x = regular(unordered_pair(x,X0))
| null_class = unordered_pair(x,X0) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f402,plain,
( spl0_4
| spl0_12 ),
inference(avatar_split_clause,[],[f393,f400,f295]) ).
fof(f668,plain,
( x = regular(unordered_pair(x,y))
| null_class = unordered_pair(x,y)
| ~ spl0_12 ),
inference(resolution,[],[f401,f122]) ).
fof(f675,definition,
( spl0_18
<=> null_class = unordered_pair(x,y) ),
introduced(definition,[new_symbols(definition,[spl0_18])],[avatar_definition]) ).
fof(f676,plain,
( null_class != unordered_pair(x,y)
| spl0_18 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f677,plain,
( null_class = unordered_pair(x,y)
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f679,definition,
( spl0_19
<=> x = regular(unordered_pair(x,y)) ),
introduced(definition,[new_symbols(definition,[spl0_19])],[avatar_definition]) ).
fof(f681,plain,
( x = regular(unordered_pair(x,y))
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f679]) ).
fof(f692,plain,
( ! [X0] :
( member(x,X0)
| null_class = X0 )
| ~ spl0_4 ),
inference(resolution,[],[f297,f191]) ).
fof(f709,plain,
( ! [X0] :
( ~ member(x,X0)
| complement(X0) = null_class )
| ~ spl0_4 ),
inference(resolution,[],[f692,f24]) ).
fof(f718,plain,
( null_class = complement(y)
| ~ spl0_4 ),
inference(resolution,[],[f709,f122]) ).
fof(f724,plain,
( ! [X0] :
( ~ member(X0,y)
| ~ member(X0,null_class) )
| ~ spl0_4 ),
inference(superposition,[],[f24,f718]) ).
fof(f733,plain,
( ~ member(x,null_class)
| ~ spl0_4 ),
inference(resolution,[],[f724,f122]) ).
fof(f736,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f733,f297]) ).
fof(f737,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f736]) ).
fof(f749,plain,
( spl0_18
| spl0_19
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f668,f400,f679,f675]) ).
fof(f752,plain,
( member(x,null_class)
| ~ member(x,universal_class)
| ~ spl0_18 ),
inference(superposition,[],[f9,f677]) ).
fof(f755,plain,
( ~ member(x,universal_class)
| spl0_4
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f752,f296]) ).
fof(f758,plain,
( $false
| spl0_4
| ~ spl0_18 ),
inference(forward_subsumption_resolution,[],[f755,f199]) ).
fof(f759,plain,
( spl0_4
| ~ spl0_18 ),
inference(avatar_contradiction_clause,[],[f758]) ).
fof(f763,plain,
( ! [X0] :
( ~ member(X0,x)
| member(X0,null_class)
| ~ member(X0,unordered_pair(x,y))
| null_class = unordered_pair(x,y) )
| ~ spl0_19 ),
inference(superposition,[],[f194,f681]) ).
fof(f764,plain,
( null_class = intersection(unordered_pair(x,y),x)
| null_class = unordered_pair(x,y)
| ~ spl0_19 ),
inference(superposition,[],[f70,f681]) ).
fof(f765,plain,
( null_class = intersection(unordered_pair(x,y),x)
| spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f764,f676]) ).
fof(f766,plain,
( ! [X0] :
( ~ member(X0,unordered_pair(x,y))
| member(X0,null_class)
| ~ member(X0,x) )
| spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f763,f676]) ).
fof(f770,plain,
( member(y,null_class)
| ~ member(y,x)
| ~ member(y,universal_class)
| spl0_18
| ~ spl0_19 ),
inference(resolution,[],[f766,f10]) ).
fof(f780,plain,
( ~ member(y,x)
| ~ member(y,universal_class)
| spl0_1
| spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f770,f283]) ).
fof(f782,plain,
( ~ member(y,universal_class)
| spl0_1
| spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f780,f123]) ).
fof(f784,plain,
( $false
| spl0_1
| spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f782,f201]) ).
fof(f785,plain,
( spl0_1
| spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f784]) ).
fof(f791,plain,
( ! [X0] :
( ~ member(X0,null_class)
| member(X0,x) )
| spl0_18
| ~ spl0_19 ),
inference(superposition,[],[f22,f765]) ).
fof(f799,plain,
( ! [X0] :
( member(y,X0)
| null_class = X0 )
| ~ spl0_1 ),
inference(resolution,[],[f284,f191]) ).
fof(f817,plain,
( ! [X0] :
( ~ member(y,X0)
| complement(X0) = null_class )
| ~ spl0_1 ),
inference(resolution,[],[f799,f24]) ).
fof(f826,plain,
( null_class = complement(x)
| ~ spl0_1 ),
inference(resolution,[],[f817,f123]) ).
fof(f832,plain,
( ! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,x) )
| ~ spl0_1 ),
inference(superposition,[],[f24,f826]) ).
fof(f833,plain,
( ! [X0] : ~ member(X0,null_class)
| ~ spl0_1
| spl0_18
| ~ spl0_19 ),
inference(forward_subsumption_resolution,[],[f832,f791]) ).
fof(f842,plain,
( $false
| ~ spl0_1
| spl0_18
| ~ spl0_19 ),
inference(resolution,[],[f833,f284]) ).
fof(f844,plain,
( ~ spl0_1
| spl0_18
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f842]) ).
cnf(s5,plain,
( spl0_4
| spl0_12 ),
inference(sat_conversion,[],[f402]) ).
cnf(s12,plain,
~ spl0_4,
inference(sat_conversion,[],[f737]) ).
cnf(s16,plain,
( ~ spl0_12
| spl0_18
| spl0_19 ),
inference(sat_conversion,[],[f749]) ).
cnf(s18,plain,
( spl0_4
| ~ spl0_18 ),
inference(sat_conversion,[],[f759]) ).
cnf(s19,plain,
( spl0_1
| spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f785]) ).
cnf(s20,plain,
( ~ spl0_1
| spl0_18
| ~ spl0_19 ),
inference(sat_conversion,[],[f844]) ).
cnf(s21,plain,
~ spl0_18,
inference(rat,[],[s18,s12]) ).
cnf(s23,plain,
spl0_12,
inference(rat,[],[s5,s12]) ).
cnf(s24,plain,
spl0_19,
inference(rat,[],[s16,s21,s23]) ).
cnf(s25,plain,
~ spl0_1,
inference(rat,[],[s20,s21,s24]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s19,s21,s24,s25]) ).
fof(f847,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET518-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n018.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 02:04:09 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.54/2.07 % (2918251)Input is clausal, will run a generic CNF schedule.
% 8.54/2.07 % (2918259)lrs+10_1_sil=8000:sp=occurrence:random_seed=741141293:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.54/2.07 % (2918259)Refutation not found, incomplete strategy
% 8.54/2.07 % (2918259)------------------------------
% 8.54/2.07 % (2918259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.07 % (2918259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.07 % (2918259)CaDiCaL version: 2.1.3
% 8.54/2.07 % (2918259)Termination reason: Refutation not found, incomplete strategy
% 8.54/2.07 % (2918259)Time elapsed: 0.0000 s
% 8.54/2.07 % (2918259)Peak memory usage: 86 MB
% 8.54/2.07 % (2918260)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1505158705:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.54/2.07 % (2918256)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=3863497037:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.54/2.07 % (2918257)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=698499859:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.54/2.07 % (2918262)dis-21_1_sil=8000:lcm=predicate:random_seed=2030220363: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)
% 8.54/2.07 % (2918261)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1272194364:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.54/2.07 % (2918258)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=984256210:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.54/2.07 % (2918260)Refutation not found, incomplete strategy
% 8.54/2.07 % (2918260)------------------------------
% 8.54/2.07 % (2918260)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.07 % (2918260)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.07 % (2918260)CaDiCaL version: 2.1.3
% 8.54/2.07 % (2918260)Termination reason: Refutation not found, incomplete strategy
% 8.54/2.07 % (2918260)Time elapsed: 0.001 s
% 8.54/2.07 % (2918260)Peak memory usage: 86 MB
% 8.54/2.07 % (2918262)Instruction limit reached!
% 8.54/2.07 % (2918262)------------------------------
% 8.54/2.07 % (2918262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.07 % (2918262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.07 % (2918262)CaDiCaL version: 2.1.3
% 8.54/2.07 % (2918262)Termination reason: Instruction limit
% 8.54/2.07 % (2918262)Termination phase: Saturation
% 8.54/2.07 % (2918262)Time elapsed: 0.071 s
% 8.54/2.07 % (2918262)Peak memory usage: 89 MB
% 8.54/2.07 % (2918262)Instructions burned: 118 (million)
% 8.54/2.07 % (2918259)------------------------------
% 8.54/2.07 % (2918259)------------------------------
% 8.54/2.07 % (2918261)Instruction limit reached!
% 8.54/2.07 % (2918261)------------------------------
% 8.54/2.07 % (2918261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.07 % (2918261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.07 % (2918261)CaDiCaL version: 2.1.3
% 8.54/2.07 % (2918261)Termination reason: Instruction limit
% 8.54/2.07 % (2918261)Termination phase: Saturation
% 8.54/2.07 % (2918261)Time elapsed: 0.135 s
% 8.54/2.07 % (2918261)Peak memory usage: 90 MB
% 8.54/2.07 % (2918261)Instructions burned: 181 (million)
% 8.54/2.07 % (2918270)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=721965677:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.54/2.07 % (2918270)Refutation not found, incomplete strategy
% 8.54/2.07 % (2918270)------------------------------
% 8.54/2.07 % (2918270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.07 % (2918270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.07 % (2918270)CaDiCaL version: 2.1.3
% 8.54/2.07 % (2918270)Termination reason: Refutation not found, incomplete strategy
% 8.54/2.07 % (2918270)Time elapsed: 0.001 s
% 8.54/2.07 % (2918270)Peak memory usage: 86 MB
% 8.54/2.07 % (2918271)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1616453888: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)
% 8.54/2.07 % (2918260)------------------------------
% 8.54/2.07 % (2918260)------------------------------
% 8.54/2.07 % (2918272)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2777958191:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 8.54/2.07 % (2918272)Refutation not found, incomplete strategy
% 8.54/2.07 % (2918272)------------------------------
% 8.54/2.07 % (2918272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.07 % (2918272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.07 % (2918272)CaDiCaL version: 2.1.3
% 8.54/2.07 % (2918272)Termination reason: Refutation not found, incomplete strategy
% 8.54/2.07 % (2918272)Time elapsed: 0.003 s
% 8.54/2.07 % (2918272)Peak memory usage: 88 MB
% 8.54/2.07 % (2918272)Instructions burned: 2 (million)
% 8.54/2.07 % (2918271)Instruction limit reached!
% 8.54/2.07 % (2918271)------------------------------
% 8.54/2.07 % (2918271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.07 % (2918271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.07 % (2918271)CaDiCaL version: 2.1.3
% 8.54/2.07 % (2918271)Termination reason: Instruction limit
% 8.54/2.07 % (2918271)Termination phase: Saturation
% 8.54/2.07 % (2918271)Time elapsed: 0.050 s
% 8.54/2.07 % (2918271)Peak memory usage: 90 MB
% 8.54/2.07 % (2918271)Instructions burned: 192 (million)
% 8.54/2.07 % (2918277)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2470657345:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.54/2.07 % (2918275)lrs+10_64_to=lpo:sil=8000:random_seed=73822486:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 8.54/2.07 % (2918277)Instruction limit reached!
% 8.54/2.07 % (2918277)------------------------------
% 8.54/2.07 % (2918277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.07 % (2918277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.07 % (2918277)CaDiCaL version: 2.1.3
% 8.54/2.07 % (2918277)Termination reason: Instruction limit
% 8.54/2.07 % (2918277)Termination phase: Saturation
% 8.54/2.07 % (2918277)Time elapsed: 0.063 s
% 8.54/2.07 % (2918277)Peak memory usage: 89 MB
% 8.54/2.07 % (2918277)Instructions burned: 195 (million)
% 8.54/2.07 % (2918270)------------------------------
% 8.54/2.07 % (2918270)------------------------------
% 8.54/2.07 % (2918275)Instruction limit reached!
% 8.54/2.07 % (2918275)------------------------------
% 8.54/2.07 % (2918275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.07 % (2918275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.07 % (2918275)CaDiCaL version: 2.1.3
% 8.54/2.07 % (2918275)Termination reason: Instruction limit
% 8.54/2.07 % (2918275)Termination phase: Saturation
% 8.54/2.07 % (2918275)Time elapsed: 0.077 s
% 8.54/2.07 % (2918275)Peak memory usage: 90 MB
% 8.54/2.07 % (2918275)Instructions burned: 127 (million)
% 8.54/2.07 % (2918272)------------------------------
% 8.54/2.07 % (2918272)------------------------------
% 8.54/2.07 % (2918280)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3093698148:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 8.54/2.07 % (2918281)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=871018213:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 8.54/2.07 % (2918282)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=1322902842:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 8.54/2.07 % (2918282)Refutation not found, incomplete strategy
% 8.54/2.07 % (2918282)------------------------------
% 8.54/2.07 % (2918282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.07 % (2918282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.07 % (2918282)CaDiCaL version: 2.1.3
% 8.54/2.07 % (2918282)Termination reason: Refutation not found, incomplete strategy
% 8.54/2.07 % (2918282)Time elapsed: 0.001 s
% 8.54/2.07 % (2918282)Peak memory usage: 86 MB
% 8.54/2.07 % (2918280)Instruction limit reached!
% 8.54/2.07 % (2918280)------------------------------
% 8.54/2.07 % (2918280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.07 % (2918280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.07 % (2918280)CaDiCaL version: 2.1.3
% 8.54/2.07 % (2918280)Termination reason: Instruction limit
% 8.54/2.07 % (2918280)Termination phase: Saturation
% 8.54/2.07 % (2918280)Time elapsed: 0.058 s
% 8.54/2.07 % (2918280)Peak memory usage: 91 MB
% 8.54/2.07 % (2918280)Instructions burned: 160 (million)
% 8.54/2.07 % (2918283)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3409580969:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 8.54/2.07 % (2918256)First to succeed.
% 8.54/2.07 % (2918256)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2918251"
% 8.54/2.07 % (2918258)Also succeeded, but the first one will report.
% 8.54/2.07 % (2918283)Instruction limit reached!
% 8.54/2.07 % (2918283)------------------------------
% 8.54/2.07 % (2918283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.07 % (2918283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.07 % (2918283)CaDiCaL version: 2.1.3
% 8.54/2.07 % (2918283)Termination reason: Instruction limit
% 8.54/2.07 % (2918283)Termination phase: Saturation
% 8.54/2.07 % (2918283)Time elapsed: 0.071 s
% 8.54/2.07 % (2918283)Peak memory usage: 89 MB
% 8.54/2.07 % (2918283)Instructions burned: 108 (million)
% 8.54/2.07 % (2918287)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=324075976:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 8.54/2.07 % (2918287)Instruction limit reached!
% 8.54/2.07 % (2918287)------------------------------
% 8.54/2.07 % (2918287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.07 % (2918287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.07 % (2918287)CaDiCaL version: 2.1.3
% 8.54/2.07 % (2918287)Termination reason: Instruction limit
% 8.54/2.07 % (2918287)Termination phase: Saturation
% 8.54/2.07 % (2918287)Time elapsed: 0.087 s
% 8.54/2.07 % (2918287)Peak memory usage: 91 MB
% 8.54/2.07 % (2918287)Instructions burned: 244 (million)
% 8.54/2.07 % (2918282)------------------------------
% 8.54/2.07 % (2918282)------------------------------
% 8.54/2.07 % (2918290)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4263155136:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 8.54/2.07 % (2918291)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2827877190:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 8.54/2.07 % (2918291)Refutation not found, incomplete strategy
% 8.54/2.07 % (2918291)------------------------------
% 8.54/2.07 % (2918291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.54/2.07 % (2918291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.54/2.07 % (2918291)CaDiCaL version: 2.1.3
% 8.54/2.07 % (2918291)Termination reason: Refutation not found, incomplete strategy
% 8.54/2.07 % (2918291)Time elapsed: 0.0000 s
% 8.54/2.07 % (2918291)Peak memory usage: 86 MB
% 8.54/2.07 % (2918256)Refutation found. Thanks to Tanya!
% 8.54/2.07 % SZS status Unsatisfiable for theBenchmark
% 8.54/2.07 % SZS output start Proof for theBenchmark
% See solution above
% 8.96/2.27 % (2918256)------------------------------
% 8.96/2.27 % (2918256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.27 % (2918256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.27 % (2918256)CaDiCaL version: 2.1.3
% 8.96/2.27 % (2918256)Termination reason: Refutation
% 8.96/2.27 % (2918256)Time elapsed: 0.745 s
% 8.96/2.27 % (2918256)Peak memory usage: 129 MB
% 8.96/2.27 % (2918256)Instructions burned: 1113 (million)
% 8.96/2.27 % (2918256)------------------------------
% 8.96/2.27 % (2918256)------------------------------
% 8.96/2.27 % (2918251)Success in time 1.189 s
% 8.96/2.27 % Vampire exiting
%------------------------------------------------------------------------------