%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET134-6 : 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 : n026.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 12:40:15 PM UTC 2026
% Result : Unsatisfiable 6.92s 1.95s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 27
% Syntax : Number of formulae : 75 ( 46 unt; 17 def)
% Number of atoms : 111 ( 48 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 76 ( 40 ~; 34 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 11 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 20 con; 0-2 aty)
% Number of variables : 33 ( 0 sgn 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).
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(f101,axiom,
! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_set_builder) ).
fof(f102,negated_conjecture,
member(u,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_member_of_triple_1) ).
fof(f103,negated_conjecture,
set_builder(u,set_builder(y,set_builder(z,null_class))) = null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_corollary_2_to_member_of_triple_2) ).
fof(f104,plain,
null_class = set_builder(u,set_builder(y,set_builder(z,null_class))),
inference(reorient_equations,[],[f103]) ).
fof(f110,plain,
! [X0,X1] : set_builder(X0,X1) = complement(intersection(complement(unordered_pair(X0,X0)),complement(X1))),
inference(definition_unfolding,[],[f101,f26,f12]) ).
fof(f154,plain,
null_class = complement(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(y,y)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),
inference(definition_unfolding,[],[f104,f110,f110,f110]) ).
fof(f158,definition,
sF0 = unordered_pair(u,u),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f159,plain,
unordered_pair(u,u) = sF0,
inference(reorient_equations,[],[f158]) ).
fof(f160,definition,
sF1 = complement(sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f161,plain,
complement(sF0) = sF1,
inference(reorient_equations,[],[f160]) ).
fof(f162,definition,
sF2 = unordered_pair(y,y),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f163,plain,
unordered_pair(y,y) = sF2,
inference(reorient_equations,[],[f162]) ).
fof(f164,definition,
sF3 = complement(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f165,plain,
complement(sF2) = sF3,
inference(reorient_equations,[],[f164]) ).
fof(f166,definition,
sF4 = unordered_pair(z,z),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f167,plain,
unordered_pair(z,z) = sF4,
inference(reorient_equations,[],[f166]) ).
fof(f168,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f169,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f168]) ).
fof(f170,definition,
sF6 = complement(null_class),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f171,plain,
complement(null_class) = sF6,
inference(reorient_equations,[],[f170]) ).
fof(f172,definition,
sF7 = intersection(sF5,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f173,plain,
intersection(sF5,sF6) = sF7,
inference(reorient_equations,[],[f172]) ).
fof(f174,definition,
sF8 = complement(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f175,plain,
complement(sF7) = sF8,
inference(reorient_equations,[],[f174]) ).
fof(f176,definition,
sF9 = complement(sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f177,plain,
complement(sF8) = sF9,
inference(reorient_equations,[],[f176]) ).
fof(f178,definition,
sF10 = intersection(sF3,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f179,plain,
intersection(sF3,sF9) = sF10,
inference(reorient_equations,[],[f178]) ).
fof(f180,definition,
sF11 = complement(sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f181,plain,
complement(sF10) = sF11,
inference(reorient_equations,[],[f180]) ).
fof(f182,definition,
sF12 = complement(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f183,plain,
complement(sF11) = sF12,
inference(reorient_equations,[],[f182]) ).
fof(f184,definition,
sF13 = intersection(sF1,sF12),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f185,plain,
intersection(sF1,sF12) = sF13,
inference(reorient_equations,[],[f184]) ).
fof(f186,definition,
sF14 = complement(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f187,plain,
complement(sF13) = sF14,
inference(reorient_equations,[],[f186]) ).
fof(f188,plain,
null_class = sF14,
inference(definition_folding,[],[f154,f187,f185,f183,f181,f179,f177,f175,f173,f171,f169,f167,f165,f163,f161,f159]) ).
fof(f189,plain,
null_class = complement(sF13),
inference(forward_demodulation,[],[f187,f188]) ).
fof(f191,plain,
( member(u,sF0)
| ~ member(u,universal_class) ),
inference(superposition,[],[f9,f159]) ).
fof(f192,plain,
member(u,sF0),
inference(forward_subsumption_resolution,[],[f191,f102]) ).
fof(f224,plain,
! [X0,X1] :
( member(X0,X1)
| ~ member(X0,null_class)
| null_class = X1 ),
inference(superposition,[],[f21,f70]) ).
fof(f229,plain,
! [X0] :
( member(X0,sF1)
| ~ member(X0,sF13) ),
inference(superposition,[],[f21,f185]) ).
fof(f230,plain,
! [X0] :
( member(X0,null_class)
| ~ member(X0,universal_class)
| member(X0,sF13) ),
inference(superposition,[],[f25,f189]) ).
fof(f231,plain,
! [X0] :
( ~ member(X0,sF13)
| ~ member(X0,null_class) ),
inference(superposition,[],[f24,f189]) ).
fof(f232,plain,
! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,null_class)
| null_class = sF13 ),
inference(resolution,[],[f231,f224]) ).
fof(f233,plain,
! [X0] :
( ~ member(X0,null_class)
| null_class = sF13 ),
inference(duplicate_literal_removal,[],[f232]) ).
fof(f235,definition,
( spl15_5
<=> null_class = sF13 ),
introduced(definition,[new_symbols(definition,[spl15_5])],[avatar_definition]) ).
fof(f237,plain,
( null_class = sF13
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f239,definition,
( spl15_6
<=> ! [X0] : ~ member(X0,null_class) ),
introduced(definition,[new_symbols(definition,[spl15_6])],[avatar_definition]) ).
fof(f240,plain,
( ! [X0] : ~ member(X0,null_class)
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f239]) ).
fof(f241,plain,
( spl15_5
| spl15_6 ),
inference(avatar_split_clause,[],[f233,f239,f235]) ).
fof(f243,plain,
( ! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,null_class) )
| ~ spl15_5 ),
inference(backward_demodulation,[],[f231,f237]) ).
fof(f248,plain,
( ! [X0] : ~ member(X0,null_class)
| ~ spl15_5 ),
inference(duplicate_literal_removal,[],[f243]) ).
fof(f251,plain,
( spl15_6
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f248,f235,f239]) ).
fof(f261,plain,
! [X0] :
( ~ member(X0,sF1)
| ~ member(X0,sF0) ),
inference(superposition,[],[f24,f161]) ).
fof(f332,plain,
( ! [X0] :
( member(X0,sF13)
| ~ member(X0,universal_class) )
| ~ spl15_6 ),
inference(forward_subsumption_resolution,[],[f230,f240]) ).
fof(f351,plain,
! [X0] :
( ~ member(X0,sF13)
| ~ member(X0,sF0) ),
inference(resolution,[],[f229,f261]) ).
fof(f352,plain,
( ! [X0] :
( ~ member(X0,sF0)
| ~ member(X0,universal_class) )
| ~ spl15_6 ),
inference(resolution,[],[f351,f332]) ).
fof(f356,plain,
( ~ member(u,universal_class)
| ~ spl15_6 ),
inference(resolution,[],[f352,f192]) ).
fof(f358,plain,
( $false
| ~ spl15_6 ),
inference(forward_subsumption_resolution,[],[f356,f102]) ).
fof(f359,plain,
~ spl15_6,
inference(avatar_contradiction_clause,[],[f358]) ).
cnf(s5,plain,
( spl15_5
| spl15_6 ),
inference(sat_conversion,[],[f241]) ).
cnf(s6,plain,
( ~ spl15_5
| spl15_6 ),
inference(sat_conversion,[],[f251]) ).
cnf(s9,plain,
~ spl15_6,
inference(sat_conversion,[],[f359]) ).
cnf(s10,plain,
~ spl15_5,
inference(rat,[],[s6,s9]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s5,s9,s10]) ).
fof(f360,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET134-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n026.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 : Mon Sep 28 00:54:41 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 6.92/1.95 % (3374087)Input is clausal, will run a generic CNF schedule.
% 6.92/1.95 % (3374095)lrs+10_1_sil=8000:sp=occurrence:random_seed=2463609432:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.92/1.95 % (3374095)Refutation not found, incomplete strategy
% 6.92/1.95 % (3374095)------------------------------
% 6.92/1.95 % (3374095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.95 % (3374095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.95 % (3374095)CaDiCaL version: 2.1.3
% 6.92/1.95 % (3374095)Termination reason: Refutation not found, incomplete strategy
% 6.92/1.95 % (3374095)Time elapsed: 0.003 s
% 6.92/1.95 % (3374095)Peak memory usage: 88 MB
% 6.92/1.95 % (3374095)Instructions burned: 6 (million)
% 6.92/1.95 % (3374097)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2817784300:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.92/1.95 % (3374093)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=859191434:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.92/1.95 % (3374096)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=167632442:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.92/1.95 % (3374092)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=3729912827:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.92/1.95 % (3374098)dis-21_1_sil=8000:lcm=predicate:random_seed=369495230: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)
% 6.92/1.95 % (3374094)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=831024938:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.92/1.95 % (3374098)Instruction limit reached!
% 6.92/1.95 % (3374098)------------------------------
% 6.92/1.95 % (3374098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.95 % (3374098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.95 % (3374098)CaDiCaL version: 2.1.3
% 6.92/1.95 % (3374098)Termination reason: Instruction limit
% 6.92/1.95 % (3374098)Termination phase: Saturation
% 6.92/1.95 % (3374098)Time elapsed: 0.065 s
% 6.92/1.95 % (3374098)Peak memory usage: 88 MB
% 6.92/1.95 % (3374098)Instructions burned: 119 (million)
% 6.92/1.95 % (3374096)Instruction limit reached!
% 6.92/1.95 % (3374096)------------------------------
% 6.92/1.95 % (3374096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.95 % (3374096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.95 % (3374096)CaDiCaL version: 2.1.3
% 6.92/1.95 % (3374096)Termination reason: Instruction limit
% 6.92/1.95 % (3374096)Termination phase: Saturation
% 6.92/1.95 % (3374096)Time elapsed: 0.074 s
% 6.92/1.95 % (3374096)Peak memory usage: 89 MB
% 6.92/1.95 % (3374096)Instructions burned: 116 (million)
% 6.92/1.95 % (3374095)------------------------------
% 6.92/1.95 % (3374095)------------------------------
% 6.92/1.95 % (3374097)Instruction limit reached!
% 6.92/1.95 % (3374097)------------------------------
% 6.92/1.95 % (3374097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.95 % (3374097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.95 % (3374097)CaDiCaL version: 2.1.3
% 6.92/1.95 % (3374097)Termination reason: Instruction limit
% 6.92/1.95 % (3374097)Termination phase: Saturation
% 6.92/1.95 % (3374097)Time elapsed: 0.132 s
% 6.92/1.95 % (3374097)Peak memory usage: 90 MB
% 6.92/1.95 % (3374097)Instructions burned: 180 (million)
% 6.92/1.95 % (3374107)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3211267221: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)
% 6.92/1.95 % (3374106)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=270989210:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.92/1.95 % (3374106)Refutation not found, incomplete strategy
% 6.92/1.95 % (3374106)------------------------------
% 6.92/1.95 % (3374106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.95 % (3374106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.95 % (3374106)CaDiCaL version: 2.1.3
% 6.92/1.95 % (3374106)Termination reason: Refutation not found, incomplete strategy
% 6.92/1.95 % (3374106)Time elapsed: 0.003 s
% 6.92/1.95 % (3374106)Peak memory usage: 88 MB
% 6.92/1.95 % (3374106)Instructions burned: 3 (million)
% 6.92/1.95 % (3374108)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=276159757:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.92/1.95 % (3374108)Refutation not found, incomplete strategy
% 6.92/1.95 % (3374108)------------------------------
% 6.92/1.95 % (3374108)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.95 % (3374108)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.95 % (3374108)CaDiCaL version: 2.1.3
% 6.92/1.95 % (3374108)Termination reason: Refutation not found, incomplete strategy
% 6.92/1.95 % (3374108)Time elapsed: 0.002 s
% 6.92/1.95 % (3374108)Peak memory usage: 88 MB
% 6.92/1.95 % (3374108)Instructions burned: 3 (million)
% 6.92/1.95 % (3374109)lrs+10_64_to=lpo:sil=8000:random_seed=4142888293:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.92/1.95 % (3374107)Instruction limit reached!
% 6.92/1.95 % (3374107)------------------------------
% 6.92/1.95 % (3374107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.95 % (3374107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.95 % (3374107)CaDiCaL version: 2.1.3
% 6.92/1.95 % (3374107)Termination reason: Instruction limit
% 6.92/1.95 % (3374107)Termination phase: Saturation
% 6.92/1.95 % (3374107)Time elapsed: 0.092 s
% 6.92/1.95 % (3374107)Peak memory usage: 90 MB
% 6.92/1.95 % (3374107)Instructions burned: 191 (million)
% 6.92/1.95 % (3374109)Instruction limit reached!
% 6.92/1.95 % (3374109)------------------------------
% 6.92/1.95 % (3374109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.95 % (3374109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.95 % (3374109)CaDiCaL version: 2.1.3
% 6.92/1.95 % (3374109)Termination reason: Instruction limit
% 6.92/1.95 % (3374109)Termination phase: Saturation
% 6.92/1.95 % (3374109)Time elapsed: 0.080 s
% 6.92/1.95 % (3374109)Peak memory usage: 89 MB
% 6.92/1.95 % (3374109)Instructions burned: 126 (million)
% 6.92/1.95 % (3374108)------------------------------
% 6.92/1.95 % (3374108)------------------------------
% 6.92/1.95 % (3374114)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4060214380:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.92/1.95 % (3374106)------------------------------
% 6.92/1.95 % (3374106)------------------------------
% 6.92/1.95 % (3374116)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=854480848:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.92/1.95 % (3374115)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3562040025:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.92/1.95 % (3374114)Instruction limit reached!
% 6.92/1.95 % (3374114)------------------------------
% 6.92/1.95 % (3374114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.95 % (3374114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.95 % (3374114)CaDiCaL version: 2.1.3
% 6.92/1.95 % (3374114)Termination reason: Instruction limit
% 6.92/1.95 % (3374114)Termination phase: Saturation
% 6.92/1.95 % (3374114)Time elapsed: 0.130 s
% 6.92/1.95 % (3374114)Peak memory usage: 90 MB
% 6.92/1.95 % (3374114)Instructions burned: 195 (million)
% 6.92/1.95 % (3374115)Instruction limit reached!
% 6.92/1.95 % (3374115)------------------------------
% 6.92/1.95 % (3374115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.95 % (3374115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.95 % (3374115)CaDiCaL version: 2.1.3
% 6.92/1.95 % (3374115)Termination reason: Instruction limit
% 6.92/1.95 % (3374115)Termination phase: Saturation
% 6.92/1.95 % (3374115)Time elapsed: 0.107 s
% 6.92/1.95 % (3374115)Peak memory usage: 91 MB
% 6.92/1.95 % (3374115)Instructions burned: 158 (million)
% 6.92/1.95 % (3374118)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=2352431305:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.92/1.95 % (3374118)Instruction limit reached!
% 6.92/1.95 % (3374118)------------------------------
% 6.92/1.95 % (3374118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.95 % (3374118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.95 % (3374118)CaDiCaL version: 2.1.3
% 6.92/1.95 % (3374118)Termination reason: Instruction limit
% 6.92/1.95 % (3374118)Termination phase: Saturation
% 6.92/1.95 % (3374118)Time elapsed: 0.067 s
% 6.92/1.95 % (3374118)Peak memory usage: 90 MB
% 6.92/1.95 % (3374118)Instructions burned: 106 (million)
% 6.92/1.95 % (3374094)First to succeed.
% 6.92/1.95 % (3374092)Also succeeded, but the first one will report.
% 6.92/1.95 % (3374094)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3374087"
% 6.92/1.95 % (3374121)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3501892338:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 6.92/1.95 % (3374122)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=165712600:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.92/1.95 % (3374121)Instruction limit reached!
% 6.92/1.95 % (3374121)------------------------------
% 6.92/1.95 % (3374121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.95 % (3374121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.95 % (3374121)CaDiCaL version: 2.1.3
% 6.92/1.95 % (3374121)Termination reason: Instruction limit
% 6.92/1.95 % (3374121)Termination phase: Saturation
% 6.92/1.95 % (3374121)Time elapsed: 0.072 s
% 6.92/1.95 % (3374121)Peak memory usage: 89 MB
% 6.92/1.95 % (3374121)Instructions burned: 108 (million)
% 6.92/1.95 % (3374093)Also succeeded, but the first one will report.
% 6.92/1.95 % (3374124)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=4115067663:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 6.92/1.95 % (3374116)Also succeeded, but the first one will report.
% 6.92/1.95 % (3374122)Instruction limit reached!
% 6.92/1.95 % (3374122)------------------------------
% 6.92/1.95 % (3374122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.92/1.95 % (3374122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.92/1.95 % (3374122)CaDiCaL version: 2.1.3
% 6.92/1.95 % (3374122)Termination reason: Instruction limit
% 6.92/1.95 % (3374122)Termination phase: Saturation
% 6.92/1.95 % (3374122)Time elapsed: 0.154 s
% 6.92/1.95 % (3374122)Peak memory usage: 91 MB
% 6.92/1.95 % (3374122)Instructions burned: 243 (million)
% 6.92/1.95 % (3374127)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1762557889:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 6.92/1.95 % (3374094)Refutation found. Thanks to Tanya!
% 6.92/1.95 % SZS status Unsatisfiable for theBenchmark
% 6.92/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/2.14 % (3374094)------------------------------
% 0.17/2.14 % (3374094)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/2.14 % (3374094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/2.14 % (3374094)CaDiCaL version: 2.1.3
% 0.17/2.14 % (3374094)Termination reason: Refutation
% 0.17/2.14 % (3374094)Time elapsed: 0.672 s
% 0.17/2.14 % (3374094)Peak memory usage: 129 MB
% 0.17/2.14 % (3374094)Instructions burned: 1002 (million)
% 0.17/2.14 % (3374094)------------------------------
% 0.17/2.14 % (3374094)------------------------------
% 0.17/2.14 % (3374087)Success in time 1.088 s
% 0.17/2.14 % Vampire exiting
%------------------------------------------------------------------------------