%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM144-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:11:49 PM UTC 2026
% Result : Unsatisfiable 6.37s 1.69s
% Output : Refutation 8.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 24
% Syntax : Number of formulae : 86 ( 24 unt; 9 def)
% Number of atoms : 183 ( 33 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 180 ( 83 ~; 93 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(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(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',union) ).
fof(f44,axiom,
! [X0] : union(X0,singleton(X0)) = successor(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor) ).
fof(f176,negated_conjecture,
~ member(x,universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_successor_of_proper_class_is_class_1) ).
fof(f177,negated_conjecture,
successor(x) != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_successor_of_proper_class_is_class_2) ).
fof(f178,plain,
x != successor(x),
inference(reorient_equations,[],[f177]) ).
fof(f184,plain,
! [X0] : successor(X0) = complement(intersection(complement(X0),complement(unordered_pair(X0,X0)))),
inference(definition_unfolding,[],[f44,f26,f12]) ).
fof(f269,plain,
x != complement(intersection(complement(x),complement(unordered_pair(x,x)))),
inference(definition_unfolding,[],[f178,f184]) ).
fof(f276,definition,
sF0 = complement(x),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f277,plain,
complement(x) = sF0,
inference(reorient_equations,[],[f276]) ).
fof(f278,definition,
sF1 = unordered_pair(x,x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f279,plain,
unordered_pair(x,x) = sF1,
inference(reorient_equations,[],[f278]) ).
fof(f280,definition,
sF2 = complement(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f281,plain,
complement(sF1) = sF2,
inference(reorient_equations,[],[f280]) ).
fof(f282,definition,
sF3 = intersection(sF0,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f283,plain,
intersection(sF0,sF2) = sF3,
inference(reorient_equations,[],[f282]) ).
fof(f284,definition,
sF4 = complement(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f285,plain,
complement(sF3) = sF4,
inference(reorient_equations,[],[f284]) ).
fof(f286,plain,
x != sF4,
inference(definition_folding,[],[f269,f285,f283,f281,f279,f277]) ).
fof(f288,plain,
! [X0] :
( member(X0,sF0)
| ~ member(X0,sF3) ),
inference(superposition,[],[f21,f283]) ).
fof(f291,plain,
! [X0] :
( ~ member(X0,sF0)
| ~ member(X0,x) ),
inference(superposition,[],[f24,f277]) ).
fof(f292,plain,
! [X0] :
( ~ member(X0,sF4)
| ~ member(X0,sF3) ),
inference(superposition,[],[f24,f285]) ).
fof(f298,plain,
! [X0] :
( ~ member(not_subclass_element(sF4,X0),sF3)
| subclass(sF4,X0) ),
inference(resolution,[],[f2,f292]) ).
fof(f308,plain,
! [X0] :
( member(X0,sF0)
| ~ member(X0,universal_class)
| member(X0,x) ),
inference(superposition,[],[f25,f277]) ).
fof(f309,plain,
! [X0] :
( member(X0,sF4)
| ~ member(X0,universal_class)
| member(X0,sF3) ),
inference(superposition,[],[f25,f285]) ).
fof(f310,plain,
! [X0] :
( member(X0,sF2)
| ~ member(X0,universal_class)
| member(X0,sF1) ),
inference(superposition,[],[f25,f281]) ).
fof(f313,plain,
! [X0] :
( ~ member(X0,sF3)
| ~ member(X0,x) ),
inference(resolution,[],[f288,f291]) ).
fof(f318,plain,
! [X0] :
( ~ member(X0,sF1)
| x = X0
| x = X0 ),
inference(superposition,[],[f8,f279]) ).
fof(f319,plain,
! [X0] :
( ~ member(X0,sF1)
| x = X0 ),
inference(duplicate_literal_removal,[],[f318]) ).
fof(f335,plain,
! [X0] :
( member(not_subclass_element(X0,sF4),sF3)
| ~ member(not_subclass_element(X0,sF4),universal_class)
| subclass(X0,sF4) ),
inference(resolution,[],[f3,f309]) ).
fof(f339,plain,
! [X0] :
( ~ member(not_subclass_element(X0,sF4),x)
| subclass(X0,sF4)
| ~ member(not_subclass_element(X0,sF4),universal_class) ),
inference(resolution,[],[f335,f313]) ).
fof(f353,plain,
( subclass(x,sF4)
| ~ member(not_subclass_element(x,sF4),universal_class)
| subclass(x,sF4) ),
inference(resolution,[],[f339,f2]) ).
fof(f355,plain,
( subclass(x,sF4)
| ~ member(not_subclass_element(x,sF4),universal_class) ),
inference(duplicate_literal_removal,[],[f353]) ).
fof(f357,definition,
( spl5_3
<=> member(not_subclass_element(x,sF4),universal_class) ),
introduced(definition,[new_symbols(definition,[spl5_3])],[avatar_definition]) ).
fof(f359,plain,
( ~ member(not_subclass_element(x,sF4),universal_class)
| spl5_3 ),
inference(avatar_component_clause,[],[f357]) ).
fof(f361,definition,
( spl5_4
<=> subclass(x,sF4) ),
introduced(definition,[new_symbols(definition,[spl5_4])],[avatar_definition]) ).
fof(f363,plain,
( subclass(x,sF4)
| ~ spl5_4 ),
inference(avatar_component_clause,[],[f361]) ).
fof(f364,plain,
( ~ spl5_3
| spl5_4 ),
inference(avatar_split_clause,[],[f355,f361,f357]) ).
fof(f365,plain,
( ! [X0] :
( ~ member(not_subclass_element(x,sF4),X0)
| ~ subclass(X0,universal_class) )
| spl5_3 ),
inference(resolution,[],[f359,f1]) ).
fof(f366,plain,
( ! [X0] : ~ member(not_subclass_element(x,sF4),X0)
| spl5_3 ),
inference(forward_subsumption_resolution,[],[f365,f4]) ).
fof(f367,plain,
( subclass(x,sF4)
| spl5_3 ),
inference(resolution,[],[f366,f2]) ).
fof(f377,plain,
( spl5_4
| spl5_3 ),
inference(avatar_split_clause,[],[f367,f357,f361]) ).
fof(f378,plain,
( ~ subclass(sF4,x)
| x = sF4
| ~ spl5_4 ),
inference(resolution,[],[f363,f7]) ).
fof(f379,plain,
( ~ subclass(sF4,x)
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f378,f286]) ).
fof(f459,plain,
! [X0] :
( member(X0,sF3)
| ~ member(X0,sF2)
| ~ member(X0,sF0) ),
inference(superposition,[],[f23,f283]) ).
fof(f463,plain,
! [X0] :
( ~ member(not_subclass_element(sF4,X0),sF2)
| ~ member(not_subclass_element(sF4,X0),sF0)
| subclass(sF4,X0) ),
inference(resolution,[],[f459,f298]) ).
fof(f466,plain,
! [X0] :
( member(not_subclass_element(sF4,X0),sF1)
| subclass(sF4,X0)
| ~ member(not_subclass_element(sF4,X0),universal_class)
| ~ member(not_subclass_element(sF4,X0),sF0) ),
inference(resolution,[],[f463,f310]) ).
fof(f472,plain,
! [X0] :
( ~ member(not_subclass_element(sF4,X0),sF0)
| ~ member(not_subclass_element(sF4,X0),universal_class)
| subclass(sF4,X0)
| x = not_subclass_element(sF4,X0) ),
inference(resolution,[],[f466,f319]) ).
fof(f489,plain,
! [X0] :
( ~ member(not_subclass_element(sF4,X0),universal_class)
| subclass(sF4,X0)
| x = not_subclass_element(sF4,X0)
| ~ member(not_subclass_element(sF4,X0),universal_class)
| member(not_subclass_element(sF4,X0),x) ),
inference(resolution,[],[f472,f308]) ).
fof(f491,plain,
! [X0] :
( member(not_subclass_element(sF4,X0),x)
| subclass(sF4,X0)
| x = not_subclass_element(sF4,X0)
| ~ member(not_subclass_element(sF4,X0),universal_class) ),
inference(duplicate_literal_removal,[],[f489]) ).
fof(f493,plain,
( subclass(sF4,x)
| x = not_subclass_element(sF4,x)
| ~ member(not_subclass_element(sF4,x),universal_class)
| subclass(sF4,x) ),
inference(resolution,[],[f491,f3]) ).
fof(f494,plain,
( subclass(sF4,x)
| x = not_subclass_element(sF4,x)
| ~ member(not_subclass_element(sF4,x),universal_class) ),
inference(duplicate_literal_removal,[],[f493]) ).
fof(f496,plain,
( x = not_subclass_element(sF4,x)
| ~ member(not_subclass_element(sF4,x),universal_class)
| ~ spl5_4 ),
inference(forward_subsumption_resolution,[],[f494,f379]) ).
fof(f498,definition,
( spl5_19
<=> member(not_subclass_element(sF4,x),universal_class) ),
introduced(definition,[new_symbols(definition,[spl5_19])],[avatar_definition]) ).
fof(f499,plain,
( member(not_subclass_element(sF4,x),universal_class)
| ~ spl5_19 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f500,plain,
( ~ member(not_subclass_element(sF4,x),universal_class)
| spl5_19 ),
inference(avatar_component_clause,[],[f498]) ).
fof(f502,definition,
( spl5_20
<=> x = not_subclass_element(sF4,x) ),
introduced(definition,[new_symbols(definition,[spl5_20])],[avatar_definition]) ).
fof(f504,plain,
( x = not_subclass_element(sF4,x)
| ~ spl5_20 ),
inference(avatar_component_clause,[],[f502]) ).
fof(f505,plain,
( ~ spl5_19
| spl5_20
| ~ spl5_4 ),
inference(avatar_split_clause,[],[f496,f361,f502,f498]) ).
fof(f506,plain,
( ! [X0] :
( ~ member(not_subclass_element(sF4,x),X0)
| ~ subclass(X0,universal_class) )
| spl5_19 ),
inference(resolution,[],[f500,f1]) ).
fof(f507,plain,
( ! [X0] : ~ member(not_subclass_element(sF4,x),X0)
| spl5_19 ),
inference(forward_subsumption_resolution,[],[f506,f4]) ).
fof(f510,plain,
( subclass(sF4,x)
| spl5_19 ),
inference(resolution,[],[f507,f2]) ).
fof(f522,plain,
( $false
| ~ spl5_4
| spl5_19 ),
inference(forward_subsumption_resolution,[],[f510,f379]) ).
fof(f523,plain,
( ~ spl5_4
| spl5_19 ),
inference(avatar_contradiction_clause,[],[f522]) ).
fof(f524,plain,
( member(x,universal_class)
| ~ spl5_19
| ~ spl5_20 ),
inference(backward_demodulation,[],[f499,f504]) ).
fof(f525,plain,
( $false
| ~ spl5_19
| ~ spl5_20 ),
inference(forward_subsumption_resolution,[],[f524,f176]) ).
fof(f526,plain,
( ~ spl5_19
| ~ spl5_20 ),
inference(avatar_contradiction_clause,[],[f525]) ).
cnf(s2,plain,
( ~ spl5_3
| spl5_4 ),
inference(sat_conversion,[],[f364]) ).
cnf(s3,plain,
( spl5_3
| spl5_4 ),
inference(sat_conversion,[],[f377]) ).
cnf(s11,plain,
( ~ spl5_4
| ~ spl5_19
| spl5_20 ),
inference(sat_conversion,[],[f505]) ).
cnf(s12,plain,
( ~ spl5_4
| spl5_19 ),
inference(sat_conversion,[],[f523]) ).
cnf(s13,plain,
( ~ spl5_19
| ~ spl5_20 ),
inference(sat_conversion,[],[f526]) ).
cnf(s14,plain,
~ spl5_4,
inference(rat,[],[s11,s13,s12]) ).
cnf(s15,plain,
spl5_3,
inference(rat,[],[s3,s14]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s2,s14,s15]) ).
fof(f527,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM144-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n007.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 18:58:10 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.37/1.69 % (1715219)Input is clausal, will run a generic CNF schedule.
% 6.37/1.69 % (1715225)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=718713505:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.37/1.69 % (1715228)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3066957292:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.37/1.69 % (1715224)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=4018482122:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.37/1.69 % (1715229)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3253082427:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.37/1.69 % (1715227)lrs+10_1_sil=8000:sp=occurrence:random_seed=3353848632:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.37/1.69 % (1715230)dis-21_1_sil=8000:lcm=predicate:random_seed=1523430962: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)
% 6.37/1.69 % (1715226)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1736328383:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.37/1.69 % (1715230)Instruction limit reached!
% 6.37/1.69 % (1715230)------------------------------
% 6.37/1.69 % (1715230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (1715230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (1715230)CaDiCaL version: 2.1.3
% 6.37/1.69 % (1715230)Termination reason: Instruction limit
% 6.37/1.69 % (1715230)Termination phase: Saturation
% 6.37/1.69 % (1715230)Time elapsed: 0.069 s
% 6.37/1.69 % (1715230)Peak memory usage: 89 MB
% 6.37/1.69 % (1715230)Instructions burned: 118 (million)
% 6.37/1.69 % (1715228)Instruction limit reached!
% 6.37/1.69 % (1715228)------------------------------
% 6.37/1.69 % (1715228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (1715228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (1715228)CaDiCaL version: 2.1.3
% 6.37/1.69 % (1715228)Termination reason: Instruction limit
% 6.37/1.69 % (1715228)Termination phase: Saturation
% 6.37/1.69 % (1715228)Time elapsed: 0.071 s
% 6.37/1.69 % (1715228)Peak memory usage: 89 MB
% 6.37/1.69 % (1715228)Instructions burned: 115 (million)
% 6.37/1.69 % (1715227)Instruction limit reached!
% 6.37/1.69 % (1715227)------------------------------
% 6.37/1.69 % (1715227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (1715227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (1715227)CaDiCaL version: 2.1.3
% 6.37/1.69 % (1715227)Termination reason: Instruction limit
% 6.37/1.69 % (1715227)Termination phase: Saturation
% 6.37/1.69 % (1715227)Time elapsed: 0.072 s
% 6.37/1.69 % (1715227)Peak memory usage: 89 MB
% 6.37/1.69 % (1715227)Instructions burned: 108 (million)
% 6.37/1.69 % (1715229)Instruction limit reached!
% 6.37/1.69 % (1715229)------------------------------
% 6.37/1.69 % (1715229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (1715229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (1715229)CaDiCaL version: 2.1.3
% 6.37/1.69 % (1715229)Termination reason: Instruction limit
% 6.37/1.69 % (1715229)Termination phase: Saturation
% 6.37/1.69 % (1715229)Time elapsed: 0.135 s
% 6.37/1.69 % (1715229)Peak memory usage: 90 MB
% 6.37/1.69 % (1715229)Instructions burned: 181 (million)
% 6.37/1.69 % (1715239)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=939976018: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)
% 6.37/1.69 % (1715238)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=3179872173:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.37/1.69 % (1715240)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=525253723:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.37/1.69 % (1715238)Refutation not found, incomplete strategy
% 6.37/1.69 % (1715238)------------------------------
% 6.37/1.69 % (1715238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (1715238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (1715238)CaDiCaL version: 2.1.3
% 6.37/1.69 % (1715238)Termination reason: Refutation not found, incomplete strategy
% 6.37/1.69 % (1715238)Time elapsed: 0.002 s
% 6.37/1.69 % (1715238)Peak memory usage: 88 MB
% 6.37/1.69 % (1715238)Instructions burned: 2 (million)
% 6.37/1.69 % (1715239)Instruction limit reached!
% 6.37/1.69 % (1715239)------------------------------
% 6.37/1.69 % (1715239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (1715239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (1715239)CaDiCaL version: 2.1.3
% 6.37/1.69 % (1715239)Termination reason: Instruction limit
% 6.37/1.69 % (1715239)Termination phase: Saturation
% 6.37/1.69 % (1715239)Time elapsed: 0.051 s
% 6.37/1.69 % (1715239)Peak memory usage: 91 MB
% 6.37/1.69 % (1715239)Instructions burned: 193 (million)
% 6.37/1.69 % (1715241)lrs+10_64_to=lpo:sil=8000:random_seed=2605501420:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.37/1.69 % (1715245)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3660866443:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 6.37/1.69 % (1715240)Instruction limit reached!
% 6.37/1.69 % (1715240)------------------------------
% 6.37/1.69 % (1715240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (1715240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (1715240)CaDiCaL version: 2.1.3
% 6.37/1.69 % (1715240)Termination reason: Instruction limit
% 6.37/1.69 % (1715240)Termination phase: Saturation
% 6.37/1.69 % (1715240)Time elapsed: 0.145 s
% 6.37/1.69 % (1715240)Peak memory usage: 90 MB
% 6.37/1.69 % (1715240)Instructions burned: 219 (million)
% 6.37/1.69 % (1715245)Instruction limit reached!
% 6.37/1.69 % (1715245)------------------------------
% 6.37/1.69 % (1715245)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (1715245)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (1715245)CaDiCaL version: 2.1.3
% 6.37/1.69 % (1715245)Termination reason: Instruction limit
% 6.37/1.69 % (1715245)Termination phase: Saturation
% 6.37/1.69 % (1715245)Time elapsed: 0.050 s
% 6.37/1.69 % (1715245)Peak memory usage: 89 MB
% 6.37/1.69 % (1715245)Instructions burned: 197 (million)
% 6.37/1.69 % (1715241)Instruction limit reached!
% 6.37/1.69 % (1715241)------------------------------
% 6.37/1.69 % (1715241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (1715241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (1715241)CaDiCaL version: 2.1.3
% 6.37/1.69 % (1715241)Termination reason: Instruction limit
% 6.37/1.69 % (1715241)Termination phase: Saturation
% 6.37/1.69 % (1715241)Time elapsed: 0.083 s
% 6.37/1.69 % (1715241)Peak memory usage: 89 MB
% 6.37/1.69 % (1715241)Instructions burned: 126 (million)
% 6.37/1.69 % (1715249)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1980770688:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 6.37/1.69 % (1715238)------------------------------
% 6.37/1.69 % (1715238)------------------------------
% 6.37/1.69 % (1715248)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3931425470:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.37/1.69 % (1715250)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=157469211:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 6.37/1.69 % (1715250)Instruction limit reached!
% 6.37/1.69 % (1715250)------------------------------
% 6.37/1.69 % (1715250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (1715250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (1715250)CaDiCaL version: 2.1.3
% 6.37/1.69 % (1715250)Termination reason: Instruction limit
% 6.37/1.69 % (1715250)Termination phase: Saturation
% 6.37/1.69 % (1715250)Time elapsed: 0.064 s
% 6.37/1.69 % (1715250)Peak memory usage: 89 MB
% 6.37/1.69 % (1715250)Instructions burned: 107 (million)
% 6.37/1.69 % (1715252)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2542058829:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 6.37/1.69 % (1715252)Refutation not found, incomplete strategy
% 6.37/1.69 % (1715252)------------------------------
% 6.37/1.69 % (1715252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (1715252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (1715252)CaDiCaL version: 2.1.3
% 6.37/1.69 % (1715252)Termination reason: Refutation not found, incomplete strategy
% 6.37/1.69 % (1715252)Time elapsed: 0.006 s
% 6.37/1.69 % (1715252)Peak memory usage: 88 MB
% 6.37/1.69 % (1715252)Instructions burned: 11 (million)
% 6.37/1.69 % (1715248)Instruction limit reached!
% 6.37/1.69 % (1715248)------------------------------
% 6.37/1.69 % (1715248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (1715248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (1715248)CaDiCaL version: 2.1.3
% 6.37/1.69 % (1715248)Termination reason: Instruction limit
% 6.37/1.69 % (1715248)Termination phase: Saturation
% 6.37/1.69 % (1715248)Time elapsed: 0.112 s
% 6.37/1.69 % (1715248)Peak memory usage: 91 MB
% 6.37/1.69 % (1715248)Instructions burned: 158 (million)
% 6.37/1.69 % (1715255)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1915400473:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 6.37/1.69 % (1715226)First to succeed.
% 6.37/1.69 % (1715226)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1715219"
% 6.37/1.69 % (1715224)Also succeeded, but the first one will report.
% 6.37/1.69 % (1715257)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1815481764:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.37/1.69 % (1715252)------------------------------
% 6.37/1.69 % (1715252)------------------------------
% 6.37/1.69 % (1715255)Instruction limit reached!
% 6.37/1.69 % (1715255)------------------------------
% 6.37/1.69 % (1715255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.37/1.69 % (1715255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.37/1.69 % (1715255)CaDiCaL version: 2.1.3
% 6.37/1.69 % (1715255)Termination reason: Instruction limit
% 6.37/1.69 % (1715255)Termination phase: Saturation
% 6.37/1.69 % (1715255)Time elapsed: 0.141 s
% 6.37/1.69 % (1715255)Peak memory usage: 91 MB
% 6.37/1.69 % (1715255)Instructions burned: 242 (million)
% 6.37/1.69 % (1715249)Also succeeded, but the first one will report.
% 6.37/1.69 % (1715261)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1227111740:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 6.37/1.69 % (1715260)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1787705893:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 6.37/1.69 % (1715226)Refutation found. Thanks to Tanya!
% 6.37/1.69 % SZS status Unsatisfiable for theBenchmark
% 6.37/1.69 % SZS output start Proof for theBenchmark
% See solution above
% 8.00/1.88 % (1715226)------------------------------
% 8.00/1.88 % (1715226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.00/1.88 % (1715226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.88 % (1715226)CaDiCaL version: 2.1.3
% 8.00/1.88 % (1715226)Termination reason: Refutation
% 8.00/1.88 % (1715226)Time elapsed: 0.686 s
% 8.00/1.88 % (1715226)Peak memory usage: 131 MB
% 8.00/1.88 % (1715226)Instructions burned: 1036 (million)
% 8.00/1.88 % (1715226)------------------------------
% 8.00/1.88 % (1715226)------------------------------
% 8.00/1.88 % (1715219)Success in time 1.085 s
% 8.00/1.88 % Vampire exiting
%------------------------------------------------------------------------------