%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET135-6 : 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 : n014.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 4.78s 1.92s
% Output : Refutation 8.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 32
% Syntax : Number of formulae : 104 ( 50 unt; 21 def)
% Number of atoms : 166 ( 47 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 118 ( 56 ~; 56 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 11 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 20 con; 0-2 aty)
% Number of variables : 31 ( 0 sgn 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(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(f101,axiom,
! [X0,X1] : union(singleton(X0),X1) = set_builder(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_set_builder) ).
fof(f102,negated_conjecture,
member(u,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_3_to_member_of_triple_1) ).
fof(f103,negated_conjecture,
set_builder(x,set_builder(u,set_builder(z,null_class))) = null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_3_to_member_of_triple_2) ).
fof(f104,plain,
null_class = set_builder(x,set_builder(u,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(x,x)),complement(complement(intersection(complement(unordered_pair(u,u)),complement(complement(intersection(complement(unordered_pair(z,z)),complement(null_class))))))))),
inference(definition_unfolding,[],[f104,f110,f110,f110]) ).
fof(f158,definition,
sF0 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f159,plain,
unordered_pair(x,x) = 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(u,u),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f163,plain,
unordered_pair(u,u) = 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,
! [X0] :
( ~ member(X0,sF13)
| ~ member(X0,null_class) ),
inference(superposition,[],[f24,f189]) ).
fof(f192,plain,
! [X0] :
( ~ member(X0,sF12)
| ~ member(X0,sF11) ),
inference(superposition,[],[f24,f183]) ).
fof(f193,plain,
! [X0] :
( ~ member(X0,sF10)
| member(X0,sF3) ),
inference(superposition,[],[f21,f179]) ).
fof(f199,plain,
! [X0] :
( ~ member(X0,sF3)
| ~ member(X0,sF2) ),
inference(superposition,[],[f24,f165]) ).
fof(f202,plain,
! [X0] :
( ~ member(X0,sF13)
| member(X0,sF12) ),
inference(superposition,[],[f22,f185]) ).
fof(f205,plain,
( member(u,sF2)
| ~ member(u,universal_class) ),
inference(superposition,[],[f9,f163]) ).
fof(f226,plain,
member(u,sF2),
inference(forward_subsumption_resolution,[],[f205,f102]) ).
fof(f237,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,sF11)
| member(X0,sF10) ),
inference(superposition,[],[f25,f181]) ).
fof(f239,plain,
! [X0] :
( ~ member(X0,universal_class)
| member(X0,null_class)
| member(X0,sF13) ),
inference(superposition,[],[f25,f189]) ).
fof(f240,plain,
( member(u,null_class)
| member(u,sF13) ),
inference(resolution,[],[f239,f102]) ).
fof(f242,definition,
( spl15_5
<=> member(u,sF13) ),
introduced(definition,[new_symbols(definition,[spl15_5])],[avatar_definition]) ).
fof(f243,plain,
( ~ member(u,sF13)
| spl15_5 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f244,plain,
( member(u,sF13)
| ~ spl15_5 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f246,definition,
( spl15_6
<=> member(u,null_class) ),
introduced(definition,[new_symbols(definition,[spl15_6])],[avatar_definition]) ).
fof(f248,plain,
( member(u,null_class)
| ~ spl15_6 ),
inference(avatar_component_clause,[],[f246]) ).
fof(f249,plain,
( spl15_5
| spl15_6 ),
inference(avatar_split_clause,[],[f240,f246,f242]) ).
fof(f275,plain,
( member(u,sF11)
| member(u,sF10) ),
inference(resolution,[],[f237,f102]) ).
fof(f277,definition,
( spl15_11
<=> member(u,sF10) ),
introduced(definition,[new_symbols(definition,[spl15_11])],[avatar_definition]) ).
fof(f279,plain,
( member(u,sF10)
| ~ spl15_11 ),
inference(avatar_component_clause,[],[f277]) ).
fof(f281,definition,
( spl15_12
<=> member(u,sF11) ),
introduced(definition,[new_symbols(definition,[spl15_12])],[avatar_definition]) ).
fof(f283,plain,
( member(u,sF11)
| ~ spl15_12 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f284,plain,
( spl15_11
| spl15_12 ),
inference(avatar_split_clause,[],[f275,f281,f277]) ).
fof(f296,definition,
( spl15_14
<=> member(u,sF12) ),
introduced(definition,[new_symbols(definition,[spl15_14])],[avatar_definition]) ).
fof(f298,plain,
( member(u,sF12)
| ~ spl15_14 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f319,plain,
( member(u,sF12)
| ~ spl15_5 ),
inference(resolution,[],[f202,f244]) ).
fof(f320,plain,
( spl15_14
| ~ spl15_5 ),
inference(avatar_split_clause,[],[f319,f242,f296]) ).
fof(f321,plain,
( ~ member(u,sF11)
| ~ spl15_14 ),
inference(resolution,[],[f298,f192]) ).
fof(f322,plain,
( $false
| ~ spl15_12
| ~ spl15_14 ),
inference(forward_subsumption_resolution,[],[f321,f283]) ).
fof(f323,plain,
( ~ spl15_12
| ~ spl15_14 ),
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f325,plain,
( member(u,sF3)
| ~ spl15_11 ),
inference(resolution,[],[f279,f193]) ).
fof(f329,plain,
! [X0,X1] :
( ~ member(X0,null_class)
| member(X0,X1)
| null_class = X1 ),
inference(superposition,[],[f21,f70]) ).
fof(f330,plain,
( ! [X0] :
( member(u,X0)
| null_class = X0 )
| ~ spl15_6 ),
inference(resolution,[],[f329,f248]) ).
fof(f358,plain,
( null_class = sF13
| ~ member(u,null_class)
| ~ spl15_6 ),
inference(resolution,[],[f330,f191]) ).
fof(f359,plain,
( null_class = sF13
| ~ spl15_6 ),
inference(forward_subsumption_resolution,[],[f358,f248]) ).
fof(f363,definition,
( spl15_17
<=> member(u,sF3) ),
introduced(definition,[new_symbols(definition,[spl15_17])],[avatar_definition]) ).
fof(f365,plain,
( member(u,sF3)
| ~ spl15_17 ),
inference(avatar_component_clause,[],[f363]) ).
fof(f402,plain,
( spl15_17
| ~ spl15_11 ),
inference(avatar_split_clause,[],[f325,f277,f363]) ).
fof(f423,plain,
( member(u,sF13)
| ~ spl15_6 ),
inference(superposition,[],[f248,f359]) ).
fof(f428,plain,
( $false
| spl15_5
| ~ spl15_6 ),
inference(forward_subsumption_resolution,[],[f423,f243]) ).
fof(f429,plain,
( spl15_5
| ~ spl15_6 ),
inference(avatar_contradiction_clause,[],[f428]) ).
fof(f457,plain,
( ~ member(u,sF2)
| ~ spl15_17 ),
inference(resolution,[],[f365,f199]) ).
fof(f458,plain,
( $false
| ~ spl15_17 ),
inference(forward_subsumption_resolution,[],[f457,f226]) ).
fof(f459,plain,
~ spl15_17,
inference(avatar_contradiction_clause,[],[f458]) ).
cnf(s3,plain,
( spl15_5
| spl15_6 ),
inference(sat_conversion,[],[f249]) ).
cnf(s7,plain,
( spl15_11
| spl15_12 ),
inference(sat_conversion,[],[f284]) ).
cnf(s15,plain,
( ~ spl15_5
| spl15_14 ),
inference(sat_conversion,[],[f320]) ).
cnf(s16,plain,
( ~ spl15_12
| ~ spl15_14 ),
inference(sat_conversion,[],[f323]) ).
cnf(s26,plain,
( ~ spl15_11
| spl15_17 ),
inference(sat_conversion,[],[f402]) ).
cnf(s28,plain,
( spl15_5
| ~ spl15_6 ),
inference(sat_conversion,[],[f429]) ).
cnf(s35,plain,
~ spl15_17,
inference(sat_conversion,[],[f459]) ).
cnf(s36,plain,
~ spl15_11,
inference(rat,[],[s26,s35]) ).
cnf(s38,plain,
spl15_12,
inference(rat,[],[s7,s36]) ).
cnf(s39,plain,
~ spl15_14,
inference(rat,[],[s16,s38]) ).
cnf(s40,plain,
~ spl15_5,
inference(rat,[],[s15,s39]) ).
cnf(s41,plain,
~ spl15_6,
inference(rat,[],[s28,s40]) ).
cnf(s43,plain,
$false,
inference(rat,[],[s3,s41,s40]) ).
fof(f460,plain,
$false,
inference(avatar_sat_refutation,[],[s43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET135-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n014.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 00:51:47 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 4.78/1.92 % (1327546)Input is clausal, will run a generic CNF schedule.
% 4.78/1.92 % (1327557)dis-21_1_sil=8000:lcm=predicate:random_seed=765071511: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)
% 4.78/1.92 % (1327557)Instruction limit reached!
% 4.78/1.92 % (1327557)------------------------------
% 4.78/1.92 % (1327557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.92 % (1327557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.92 % (1327557)CaDiCaL version: 2.1.3
% 4.78/1.92 % (1327557)Termination reason: Instruction limit
% 4.78/1.92 % (1327557)Termination phase: Saturation
% 4.78/1.92 % (1327557)Time elapsed: 0.035 s
% 4.78/1.92 % (1327557)Peak memory usage: 88 MB
% 4.78/1.92 % (1327557)Instructions burned: 120 (million)
% 4.78/1.92 % (1327556)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1449215842:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.78/1.92 % (1327551)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=3778881825:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.78/1.92 % (1327555)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3858833618:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.78/1.92 % (1327554)lrs+10_1_sil=8000:sp=occurrence:random_seed=4153310984:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.78/1.92 % (1327552)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3930430793:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.78/1.92 % (1327553)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3063976525:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.78/1.92 % (1327554)Refutation not found, incomplete strategy
% 4.78/1.92 % (1327554)------------------------------
% 4.78/1.92 % (1327554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.92 % (1327554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.92 % (1327554)CaDiCaL version: 2.1.3
% 4.78/1.92 % (1327554)Termination reason: Refutation not found, incomplete strategy
% 4.78/1.92 % (1327554)Time elapsed: 0.005 s
% 4.78/1.92 % (1327554)Peak memory usage: 88 MB
% 4.78/1.92 % (1327554)Instructions burned: 6 (million)
% 4.78/1.92 % (1327555)Instruction limit reached!
% 4.78/1.92 % (1327555)------------------------------
% 4.78/1.92 % (1327555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.92 % (1327555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.92 % (1327555)CaDiCaL version: 2.1.3
% 4.78/1.92 % (1327555)Termination reason: Instruction limit
% 4.78/1.92 % (1327555)Termination phase: Saturation
% 4.78/1.92 % (1327555)Time elapsed: 0.071 s
% 4.78/1.92 % (1327555)Peak memory usage: 89 MB
% 4.78/1.92 % (1327555)Instructions burned: 114 (million)
% 4.78/1.92 % (1327565)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=816382018:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.78/1.92 % (1327565)Refutation not found, incomplete strategy
% 4.78/1.92 % (1327565)------------------------------
% 4.78/1.92 % (1327565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.92 % (1327565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.92 % (1327565)CaDiCaL version: 2.1.3
% 4.78/1.92 % (1327565)Termination reason: Refutation not found, incomplete strategy
% 4.78/1.92 % (1327565)Time elapsed: 0.001 s
% 4.78/1.92 % (1327565)Peak memory usage: 88 MB
% 4.78/1.92 % (1327565)Instructions burned: 3 (million)
% 4.78/1.92 % (1327556)Instruction limit reached!
% 4.78/1.92 % (1327556)------------------------------
% 4.78/1.92 % (1327556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.92 % (1327556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.92 % (1327556)CaDiCaL version: 2.1.3
% 4.78/1.92 % (1327556)Termination reason: Instruction limit
% 4.78/1.92 % (1327556)Termination phase: Saturation
% 4.78/1.92 % (1327556)Time elapsed: 0.137 s
% 4.78/1.92 % (1327556)Peak memory usage: 90 MB
% 4.78/1.92 % (1327556)Instructions burned: 180 (million)
% 4.78/1.92 % (1327566)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1429444274: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)
% 4.78/1.92 % (1327565)------------------------------
% 4.78/1.92 % (1327565)------------------------------
% 4.78/1.92 % (1327554)------------------------------
% 4.78/1.92 % (1327554)------------------------------
% 4.78/1.92 % (1327568)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3255015411:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.78/1.92 % (1327568)Refutation not found, incomplete strategy
% 4.78/1.92 % (1327568)------------------------------
% 4.78/1.92 % (1327568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.92 % (1327568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.92 % (1327568)CaDiCaL version: 2.1.3
% 4.78/1.92 % (1327568)Termination reason: Refutation not found, incomplete strategy
% 4.78/1.92 % (1327568)Time elapsed: 0.003 s
% 4.78/1.92 % (1327568)Peak memory usage: 88 MB
% 4.78/1.92 % (1327568)Instructions burned: 3 (million)
% 4.78/1.92 % (1327566)Instruction limit reached!
% 4.78/1.92 % (1327566)------------------------------
% 4.78/1.92 % (1327566)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.92 % (1327566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.92 % (1327566)CaDiCaL version: 2.1.3
% 4.78/1.92 % (1327566)Termination reason: Instruction limit
% 4.78/1.92 % (1327566)Termination phase: Saturation
% 4.78/1.92 % (1327566)Time elapsed: 0.092 s
% 4.78/1.92 % (1327566)Peak memory usage: 90 MB
% 4.78/1.92 % (1327566)Instructions burned: 190 (million)
% 4.78/1.92 % (1327570)lrs+10_64_to=lpo:sil=8000:random_seed=347259873:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 4.78/1.92 % (1327570)Instruction limit reached!
% 4.78/1.92 % (1327570)------------------------------
% 4.78/1.92 % (1327570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.92 % (1327570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.92 % (1327570)CaDiCaL version: 2.1.3
% 4.78/1.92 % (1327570)Termination reason: Instruction limit
% 4.78/1.92 % (1327570)Termination phase: Saturation
% 4.78/1.92 % (1327570)Time elapsed: 0.044 s
% 4.78/1.92 % (1327570)Peak memory usage: 89 MB
% 4.78/1.92 % (1327570)Instructions burned: 128 (million)
% 4.78/1.92 % (1327571)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1932611946:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.78/1.92 % (1327573)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3466494979:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.78/1.92 % (1327575)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2849534105:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 4.78/1.92 % (1327568)------------------------------
% 4.78/1.92 % (1327568)------------------------------
% 4.78/1.92 % (1327571)Instruction limit reached!
% 4.78/1.92 % (1327571)------------------------------
% 4.78/1.92 % (1327571)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.92 % (1327571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.92 % (1327571)CaDiCaL version: 2.1.3
% 4.78/1.92 % (1327571)Termination reason: Instruction limit
% 4.78/1.92 % (1327571)Termination phase: Saturation
% 4.78/1.92 % (1327571)Time elapsed: 0.128 s
% 4.78/1.92 % (1327571)Peak memory usage: 90 MB
% 4.78/1.92 % (1327571)Instructions burned: 195 (million)
% 4.78/1.92 % (1327573)Instruction limit reached!
% 4.78/1.92 % (1327573)------------------------------
% 4.78/1.92 % (1327573)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.92 % (1327573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.92 % (1327573)CaDiCaL version: 2.1.3
% 4.78/1.92 % (1327573)Termination reason: Instruction limit
% 4.78/1.92 % (1327573)Termination phase: Saturation
% 4.78/1.92 % (1327573)Time elapsed: 0.106 s
% 4.78/1.92 % (1327573)Peak memory usage: 91 MB
% 4.78/1.92 % (1327573)Instructions burned: 157 (million)
% 4.78/1.92 % (1327579)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=2657754382:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 4.78/1.92 % (1327580)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2305577439:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 4.78/1.92 % (1327551)First to succeed.
% 4.78/1.92 % (1327581)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3632995893:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 4.78/1.92 % (1327551)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1327546"
% 4.78/1.92 % (1327553)Also succeeded, but the first one will report.
% 4.78/1.92 % (1327579)Instruction limit reached!
% 4.78/1.92 % (1327579)------------------------------
% 4.78/1.92 % (1327579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.92 % (1327579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.92 % (1327579)CaDiCaL version: 2.1.3
% 4.78/1.92 % (1327579)Termination reason: Instruction limit
% 4.78/1.92 % (1327579)Termination phase: Saturation
% 4.78/1.92 % (1327579)Time elapsed: 0.066 s
% 4.78/1.92 % (1327579)Peak memory usage: 90 MB
% 4.78/1.92 % (1327579)Instructions burned: 107 (million)
% 4.78/1.92 % (1327580)Instruction limit reached!
% 4.78/1.92 % (1327580)------------------------------
% 4.78/1.92 % (1327580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.92 % (1327580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.92 % (1327580)CaDiCaL version: 2.1.3
% 4.78/1.92 % (1327580)Termination reason: Instruction limit
% 4.78/1.92 % (1327580)Termination phase: Saturation
% 4.78/1.92 % (1327580)Time elapsed: 0.072 s
% 4.78/1.92 % (1327580)Peak memory usage: 89 MB
% 4.78/1.92 % (1327580)Instructions burned: 108 (million)
% 4.78/1.92 % (1327581)Instruction limit reached!
% 4.78/1.92 % (1327581)------------------------------
% 4.78/1.92 % (1327581)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.78/1.92 % (1327581)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.78/1.92 % (1327581)CaDiCaL version: 2.1.3
% 4.78/1.92 % (1327581)Termination reason: Instruction limit
% 4.78/1.92 % (1327581)Termination phase: Saturation
% 4.78/1.92 % (1327581)Time elapsed: 0.151 s
% 4.78/1.92 % (1327581)Peak memory usage: 91 MB
% 4.78/1.92 % (1327581)Instructions burned: 242 (million)
% 4.78/1.92 % (1327585)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=610445222:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 4.78/1.92 % (1327586)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1761367542:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 4.78/1.92 % (1327575)Also succeeded, but the first one will report.
% 4.78/1.92 % (1327551)Refutation found. Thanks to Tanya!
% 4.78/1.92 % SZS status Unsatisfiable for theBenchmark
% 4.78/1.92 % SZS output start Proof for theBenchmark
% See solution above
% 8.12/2.12 % (1327551)------------------------------
% 8.12/2.12 % (1327551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.12/2.12 % (1327551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.12/2.12 % (1327551)CaDiCaL version: 2.1.3
% 8.12/2.12 % (1327551)Termination reason: Refutation
% 8.12/2.12 % (1327551)Time elapsed: 0.665 s
% 8.12/2.12 % (1327551)Peak memory usage: 129 MB
% 8.12/2.12 % (1327551)Instructions burned: 992 (million)
% 8.12/2.12 % (1327551)------------------------------
% 8.12/2.12 % (1327551)------------------------------
% 8.12/2.12 % (1327546)Success in time 1.077 s
% 8.12/2.12 % Vampire exiting
%------------------------------------------------------------------------------