%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET503-6 : 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 : n015.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 12:41:03 PM UTC 2026
% Result : Unsatisfiable 8.32s 7.08s
% Output : Refutation 8.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 47 ( 8 unt; 2 def)
% Number of atoms : 108 ( 29 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 105 ( 44 ~; 59 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 39 ( 0 sgn 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f10,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X1,X0))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair3) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection1) ).
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(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(f122,negated_conjecture,
member(universal_class,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_universal_class_not_set_1) ).
fof(f190,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(f202,plain,
! [X0] :
( ~ subclass(x,X0)
| member(universal_class,X0) ),
inference(resolution,[],[f1,f122]) ).
fof(f214,plain,
member(universal_class,universal_class),
inference(resolution,[],[f4,f202]) ).
fof(f241,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(f248,plain,
! [X0,X1] :
( X0 != X1
| regular(unordered_pair(X0,X1)) = X0
| unordered_pair(X0,X1) = null_class ),
inference(equality_factoring,[],[f241]) ).
fof(f256,plain,
! [X0] :
( regular(unordered_pair(X0,X0)) = X0
| unordered_pair(X0,X0) = null_class ),
inference(equality_resolution,[],[f248]) ).
fof(f258,plain,
! [X0,X1] :
( ~ member(X1,X0)
| member(X1,null_class)
| ~ member(X1,unordered_pair(X0,X0))
| unordered_pair(X0,X0) = null_class
| unordered_pair(X0,X0) = null_class ),
inference(superposition,[],[f194,f256]) ).
fof(f261,plain,
! [X0,X1] :
( ~ member(X1,unordered_pair(X0,X0))
| member(X1,null_class)
| ~ member(X1,X0)
| unordered_pair(X0,X0) = null_class ),
inference(duplicate_literal_removal,[],[f258]) ).
fof(f264,plain,
! [X0] :
( ~ member(X0,universal_class)
| ~ member(X0,X0)
| unordered_pair(X0,X0) = null_class
| member(X0,null_class) ),
inference(resolution,[],[f261,f10]) ).
fof(f274,plain,
( ~ member(universal_class,universal_class)
| null_class = unordered_pair(universal_class,universal_class)
| member(universal_class,null_class) ),
inference(resolution,[],[f264,f214]) ).
fof(f293,plain,
( null_class = unordered_pair(universal_class,universal_class)
| member(universal_class,null_class) ),
inference(forward_subsumption_resolution,[],[f274,f214]) ).
fof(f295,definition,
( spl0_5
<=> member(universal_class,null_class) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f296,plain,
( ~ member(universal_class,null_class)
| spl0_5 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f297,plain,
( member(universal_class,null_class)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f295]) ).
fof(f299,definition,
( spl0_6
<=> null_class = unordered_pair(universal_class,universal_class) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f301,plain,
( null_class = unordered_pair(universal_class,universal_class)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f302,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f293,f299,f295]) ).
fof(f303,plain,
( ! [X0] :
( member(universal_class,X0)
| null_class = X0 )
| ~ spl0_5 ),
inference(resolution,[],[f297,f190]) ).
fof(f311,plain,
( ! [X0] :
( ~ member(universal_class,X0)
| complement(X0) = null_class )
| ~ spl0_5 ),
inference(resolution,[],[f303,f24]) ).
fof(f319,plain,
( null_class = complement(x)
| ~ spl0_5 ),
inference(resolution,[],[f311,f122]) ).
fof(f325,plain,
( ! [X0] :
( ~ member(X0,x)
| ~ member(X0,null_class) )
| ~ spl0_5 ),
inference(superposition,[],[f24,f319]) ).
fof(f329,plain,
( ~ member(universal_class,null_class)
| ~ spl0_5 ),
inference(resolution,[],[f325,f122]) ).
fof(f342,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f329,f297]) ).
fof(f343,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f342]) ).
fof(f346,plain,
( member(universal_class,null_class)
| ~ member(universal_class,universal_class)
| ~ spl0_6 ),
inference(superposition,[],[f10,f301]) ).
fof(f351,plain,
( ~ member(universal_class,universal_class)
| spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f346,f296]) ).
fof(f354,plain,
( $false
| spl0_5
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f351,f214]) ).
fof(f355,plain,
( spl0_5
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f354]) ).
cnf(s2,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f302]) ).
cnf(s4,plain,
~ spl0_5,
inference(sat_conversion,[],[f343]) ).
cnf(s7,plain,
( spl0_5
| ~ spl0_6 ),
inference(sat_conversion,[],[f355]) ).
cnf(s8,plain,
~ spl0_6,
inference(rat,[],[s7,s4]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s2,s8,s4]) ).
fof(f356,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET503-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/5.38 % Computer : n015.cluster.edu
% 0.11/5.38 % Model : x86_64 x86_64
% 0.11/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38 % Memory : 8046.5625MB
% 0.11/5.38 % OS : Linux 6.8.0-71-generic
% 0.11/5.38 % CPULimit : 300
% 0.11/5.38 % WCLimit : 300
% 0.11/5.38 % DateTime : Mon Sep 28 02:03:38 UTC 2026
% 0.11/5.38 % CPUTime :
% 0.11/5.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 6.88/6.98 % (2193816)Input is clausal, will run a generic CNF schedule.
% 6.88/6.98 % (2193825)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4292331452:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.88/6.98 % (2193825)Refutation not found, incomplete strategy
% 6.88/6.98 % (2193825)------------------------------
% 6.88/6.98 % (2193825)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/6.98 % (2193825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/6.98 % (2193825)CaDiCaL version: 2.1.3
% 6.88/6.98 % (2193825)Termination reason: Refutation not found, incomplete strategy
% 6.88/6.98 % (2193825)Time elapsed: 0.001 s
% 6.88/6.98 % (2193825)Peak memory usage: 88 MB
% 6.88/6.98 % (2193825)Instructions burned: 1 (million)
% 6.88/6.98 % (2193823)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2477501866:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.88/6.98 % (2193822)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=659245256:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.88/6.98 % (2193824)lrs+10_1_sil=8000:sp=occurrence:random_seed=816377603:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.88/6.98 % (2193821)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=1973586004:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.88/6.98 % (2193824)Refutation not found, incomplete strategy
% 6.88/6.98 % (2193824)------------------------------
% 6.88/6.98 % (2193824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/6.98 % (2193824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/6.98 % (2193824)CaDiCaL version: 2.1.3
% 6.88/6.98 % (2193824)Termination reason: Refutation not found, incomplete strategy
% 6.88/6.98 % (2193824)Time elapsed: 0.001 s
% 6.88/6.98 % (2193824)Peak memory usage: 86 MB
% 6.88/6.98 % (2193827)dis-21_1_sil=8000:lcm=predicate:random_seed=1124439098: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)
% 6.88/6.98 % (2193826)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3860133841:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.88/6.98 % (2193827)Instruction limit reached!
% 6.88/6.98 % (2193827)------------------------------
% 6.88/6.98 % (2193827)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/6.98 % (2193827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/6.98 % (2193827)CaDiCaL version: 2.1.3
% 6.88/6.98 % (2193827)Termination reason: Instruction limit
% 6.88/6.98 % (2193827)Termination phase: Saturation
% 6.88/6.98 % (2193827)Time elapsed: 0.073 s
% 6.88/6.98 % (2193827)Peak memory usage: 89 MB
% 6.88/6.98 % (2193827)Instructions burned: 117 (million)
% 6.88/6.98 % (2193825)------------------------------
% 6.88/6.98 % (2193825)------------------------------
% 6.88/6.98 % (2193826)Instruction limit reached!
% 6.88/6.98 % (2193826)------------------------------
% 6.88/6.98 % (2193826)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/6.98 % (2193826)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/6.98 % (2193826)CaDiCaL version: 2.1.3
% 6.88/6.98 % (2193826)Termination reason: Instruction limit
% 6.88/6.98 % (2193826)Termination phase: Saturation
% 6.88/6.98 % (2193826)Time elapsed: 0.135 s
% 6.88/6.98 % (2193826)Peak memory usage: 90 MB
% 6.88/6.98 % (2193826)Instructions burned: 180 (million)
% 6.88/6.98 % (2193836)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=911681002: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)
% 6.88/6.98 % (2193835)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=2371258829:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.88/6.98 % (2193835)Refutation not found, incomplete strategy
% 6.88/6.98 % (2193835)------------------------------
% 6.88/6.98 % (2193835)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/6.98 % (2193835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/6.98 % (2193835)CaDiCaL version: 2.1.3
% 6.88/6.98 % (2193835)Termination reason: Refutation not found, incomplete strategy
% 6.88/6.98 % (2193835)Time elapsed: 0.001 s
% 6.88/6.98 % (2193835)Peak memory usage: 86 MB
% 6.88/6.98 % (2193824)------------------------------
% 6.88/6.98 % (2193824)------------------------------
% 6.88/6.98 % (2193836)Instruction limit reached!
% 6.88/6.98 % (2193836)------------------------------
% 6.88/6.98 % (2193836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/6.98 % (2193836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/6.98 % (2193836)CaDiCaL version: 2.1.3
% 6.88/6.98 % (2193836)Termination reason: Instruction limit
% 6.88/6.98 % (2193836)Termination phase: Saturation
% 6.88/6.98 % (2193836)Time elapsed: 0.053 s
% 6.88/6.98 % (2193836)Peak memory usage: 90 MB
% 6.88/6.98 % (2193836)Instructions burned: 193 (million)
% 6.88/6.98 % (2193837)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=722175456:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 6.88/6.98 % (2193837)Refutation not found, incomplete strategy
% 6.88/6.98 % (2193837)------------------------------
% 6.88/6.98 % (2193837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/6.98 % (2193837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/6.98 % (2193837)CaDiCaL version: 2.1.3
% 6.88/6.98 % (2193837)Termination reason: Refutation not found, incomplete strategy
% 6.88/6.98 % (2193837)Time elapsed: 0.003 s
% 6.88/6.98 % (2193837)Peak memory usage: 88 MB
% 6.88/6.98 % (2193837)Instructions burned: 2 (million)
% 6.88/6.98 % (2193840)lrs+10_64_to=lpo:sil=8000:random_seed=3326274156:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.88/6.98 % (2193841)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1577873968:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.88/6.98 % (2193841)Instruction limit reached!
% 6.88/6.98 % (2193841)------------------------------
% 6.88/6.98 % (2193841)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/6.98 % (2193841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/6.98 % (2193841)CaDiCaL version: 2.1.3
% 6.88/6.98 % (2193841)Termination reason: Instruction limit
% 6.88/6.98 % (2193841)Termination phase: Saturation
% 6.88/6.98 % (2193841)Time elapsed: 0.065 s
% 6.88/6.98 % (2193841)Peak memory usage: 90 MB
% 6.88/6.98 % (2193841)Instructions burned: 196 (million)
% 6.88/6.98 % (2193840)Instruction limit reached!
% 6.88/6.98 % (2193840)------------------------------
% 6.88/6.98 % (2193840)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/6.98 % (2193840)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/6.98 % (2193840)CaDiCaL version: 2.1.3
% 6.88/6.98 % (2193840)Termination reason: Instruction limit
% 6.88/6.98 % (2193840)Termination phase: Saturation
% 6.88/6.98 % (2193840)Time elapsed: 0.080 s
% 6.88/6.98 % (2193840)Peak memory usage: 89 MB
% 6.88/6.98 % (2193840)Instructions burned: 126 (million)
% 6.88/6.98 % (2193835)------------------------------
% 6.88/6.98 % (2193835)------------------------------
% 6.88/6.98 % (2193837)------------------------------
% 6.88/6.98 % (2193837)------------------------------
% 6.88/6.98 % (2193845)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1422154793:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 6.88/6.98 % (2193846)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2246160878:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.88/6.98 % (2193845)Instruction limit reached!
% 6.88/6.98 % (2193845)------------------------------
% 6.88/6.98 % (2193845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.88/6.98 % (2193845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.88/6.98 % (2193845)CaDiCaL version: 2.1.3
% 6.88/6.98 % (2193845)Termination reason: Instruction limit
% 6.88/6.98 % (2193845)Termination phase: Saturation
% 6.88/6.98 % (2193845)Time elapsed: 0.057 s
% 6.88/6.98 % (2193845)Peak memory usage: 91 MB
% 6.88/6.98 % (2193845)Instructions burned: 157 (million)
% 6.88/6.98 % (2193847)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=1162038045:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.88/6.98 % (2193847)Refutation not found, incomplete strategy
% 6.88/6.98 % (2193847)------------------------------
% 8.32/7.08 % (2193847)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/7.08 % (2193847)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/7.08 % (2193847)CaDiCaL version: 2.1.3
% 8.32/7.08 % (2193847)Termination reason: Refutation not found, incomplete strategy
% 8.32/7.08 % (2193847)Time elapsed: 0.001 s
% 8.32/7.08 % (2193847)Peak memory usage: 86 MB
% 8.32/7.08 % (2193821)First to succeed.
% 8.32/7.08 % (2193821)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2193816"
% 8.32/7.08 % (2193848)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=732188489:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 8.32/7.08 % (2193852)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=338715703:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 8.32/7.08 % (2193823)Also succeeded, but the first one will report.
% 8.32/7.08 % (2193848)Instruction limit reached!
% 8.32/7.08 % (2193848)------------------------------
% 8.32/7.08 % (2193848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/7.08 % (2193848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/7.08 % (2193848)CaDiCaL version: 2.1.3
% 8.32/7.08 % (2193848)Termination reason: Instruction limit
% 8.32/7.08 % (2193848)Termination phase: Saturation
% 8.32/7.08 % (2193848)Time elapsed: 0.068 s
% 8.32/7.08 % (2193848)Peak memory usage: 89 MB
% 8.32/7.08 % (2193848)Instructions burned: 107 (million)
% 8.32/7.08 % (2193852)Instruction limit reached!
% 8.32/7.08 % (2193852)------------------------------
% 8.32/7.08 % (2193852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/7.08 % (2193852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/7.08 % (2193852)CaDiCaL version: 2.1.3
% 8.32/7.08 % (2193852)Termination reason: Instruction limit
% 8.32/7.08 % (2193852)Termination phase: Saturation
% 8.32/7.08 % (2193852)Time elapsed: 0.088 s
% 8.32/7.08 % (2193852)Peak memory usage: 90 MB
% 8.32/7.08 % (2193852)Instructions burned: 243 (million)
% 8.32/7.08 % (2193847)------------------------------
% 8.32/7.08 % (2193847)------------------------------
% 8.32/7.08 % (2193821)Refutation found. Thanks to Tanya!
% 8.32/7.08 % SZS status Unsatisfiable for theBenchmark
% 8.32/7.08 % SZS output start Proof for theBenchmark
% See solution above
% 8.32/7.09 % (2193821)------------------------------
% 8.32/7.09 % (2193821)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.32/7.09 % (2193821)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.32/7.09 % (2193821)CaDiCaL version: 2.1.3
% 8.32/7.09 % (2193821)Termination reason: Refutation
% 8.32/7.09 % (2193821)Time elapsed: 0.672 s
% 8.32/7.09 % (2193821)Peak memory usage: 129 MB
% 8.32/7.09 % (2193821)Instructions burned: 1006 (million)
% 8.32/7.09 % (2193821)------------------------------
% 8.32/7.09 % (2193821)------------------------------
% 8.32/7.09 % (2193816)Success in time 1.115 s
% 8.32/7.09 % Vampire exiting
%------------------------------------------------------------------------------