%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET068-7 : 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 : n017.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 12:39:55 PM UTC 2026
% Result : Unsatisfiable 7.74s 2.05s
% Output : Refutation 7.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 22
% Syntax : Number of formulae : 82 ( 26 unt; 11 def)
% Number of atoms : 167 ( 30 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 150 ( 65 ~; 76 |; 0 &)
% ( 9 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 23 ( 0 sgn 23 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ member(X2,X0)
| ~ subclass(X0,X1)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f9,axiom,
! [X0,X1] :
( member(X0,unordered_pair(X0,X1))
| ~ member(X0,universal_class) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair2) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f114,axiom,
! [X0] : subclass(null_class,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_class_is_subclass) ).
fof(f120,axiom,
! [X0,X1] : unordered_pair(X0,X1) = unordered_pair(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_unordered_pair) ).
fof(f121,negated_conjecture,
~ subclass(singleton(y),unordered_pair(x,y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_singleton_in_unordered_pair2_1) ).
fof(f174,plain,
~ subclass(unordered_pair(y,y),unordered_pair(x,y)),
inference(definition_unfolding,[],[f121,f12]) ).
fof(f178,definition,
sF0 = unordered_pair(y,y),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f179,plain,
unordered_pair(y,y) = sF0,
inference(reorient_equations,[],[f178]) ).
fof(f180,definition,
sF1 = unordered_pair(x,y),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f181,plain,
unordered_pair(x,y) = sF1,
inference(reorient_equations,[],[f180]) ).
fof(f182,plain,
~ subclass(sF0,sF1),
inference(definition_folding,[],[f174,f181,f179]) ).
fof(f184,definition,
( spl2_1
<=> subclass(sF0,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f186,plain,
( ~ subclass(sF0,sF1)
| spl2_1 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f187,plain,
~ spl2_1,
inference(avatar_split_clause,[],[f182,f184]) ).
fof(f229,definition,
( spl2_10
<=> unordered_pair(y,y) = sF0 ),
introduced(definition,[new_symbols(definition,[spl2_10])],[avatar_definition]) ).
fof(f231,plain,
( unordered_pair(y,y) = sF0
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f229]) ).
fof(f232,plain,
spl2_10,
inference(avatar_split_clause,[],[f179,f229]) ).
fof(f233,plain,
sF1 = unordered_pair(y,x),
inference(forward_demodulation,[],[f181,f120]) ).
fof(f235,definition,
( spl2_11
<=> sF1 = unordered_pair(y,x) ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
fof(f237,plain,
( sF1 = unordered_pair(y,x)
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f235]) ).
fof(f238,plain,
spl2_11,
inference(avatar_split_clause,[],[f233,f235]) ).
fof(f276,plain,
( member(y,sF1)
| ~ member(y,universal_class)
| ~ spl2_11 ),
inference(superposition,[],[f9,f237]) ).
fof(f280,definition,
( spl2_15
<=> member(y,universal_class) ),
introduced(definition,[new_symbols(definition,[spl2_15])],[avatar_definition]) ).
fof(f282,plain,
( ~ member(y,universal_class)
| spl2_15 ),
inference(avatar_component_clause,[],[f280]) ).
fof(f284,definition,
( spl2_16
<=> member(y,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_16])],[avatar_definition]) ).
fof(f286,plain,
( member(y,sF1)
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f284]) ).
fof(f287,plain,
( ~ spl2_15
| spl2_16
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f276,f235,f284,f280]) ).
fof(f289,definition,
( spl2_17
<=> member(y,sF0) ),
introduced(definition,[new_symbols(definition,[spl2_17])],[avatar_definition]) ).
fof(f291,plain,
( member(y,sF0)
| ~ spl2_17 ),
inference(avatar_component_clause,[],[f289]) ).
fof(f424,plain,
( ! [X0] :
( ~ member(X0,sF0)
| y = X0
| y = X0 )
| ~ spl2_10 ),
inference(superposition,[],[f8,f231]) ).
fof(f428,plain,
( ! [X0] :
( ~ member(X0,sF0)
| y = X0 )
| ~ spl2_10 ),
inference(duplicate_literal_removal,[],[f424]) ).
fof(f475,plain,
( y = regular(sF0)
| null_class = sF0
| ~ spl2_10 ),
inference(resolution,[],[f428,f68]) ).
fof(f476,plain,
( ! [X0] :
( subclass(sF0,X0)
| y = not_subclass_element(sF0,X0) )
| ~ spl2_10 ),
inference(resolution,[],[f428,f2]) ).
fof(f479,definition,
( spl2_32
<=> null_class = sF0 ),
introduced(definition,[new_symbols(definition,[spl2_32])],[avatar_definition]) ).
fof(f480,plain,
( null_class != sF0
| spl2_32 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f481,plain,
( null_class = sF0
| ~ spl2_32 ),
inference(avatar_component_clause,[],[f479]) ).
fof(f488,definition,
( spl2_34
<=> y = regular(sF0) ),
introduced(definition,[new_symbols(definition,[spl2_34])],[avatar_definition]) ).
fof(f490,plain,
( y = regular(sF0)
| ~ spl2_34 ),
inference(avatar_component_clause,[],[f488]) ).
fof(f491,plain,
( spl2_32
| spl2_34
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f475,f229,f488,f479]) ).
fof(f505,plain,
( ~ subclass(null_class,sF1)
| spl2_1
| ~ spl2_32 ),
inference(superposition,[],[f186,f481]) ).
fof(f506,plain,
( $false
| spl2_1
| ~ spl2_32 ),
inference(forward_subsumption_resolution,[],[f505,f114]) ).
fof(f507,plain,
( spl2_1
| ~ spl2_32 ),
inference(avatar_contradiction_clause,[],[f506]) ).
fof(f535,plain,
( member(y,sF0)
| null_class = sF0
| ~ spl2_34 ),
inference(superposition,[],[f68,f490]) ).
fof(f536,plain,
( member(y,sF0)
| spl2_32
| ~ spl2_34 ),
inference(forward_subsumption_resolution,[],[f535,f480]) ).
fof(f538,plain,
( spl2_17
| spl2_32
| ~ spl2_34 ),
inference(avatar_split_clause,[],[f536,f488,f479,f289]) ).
fof(f572,plain,
( ! [X0] :
( ~ subclass(sF0,X0)
| member(y,X0) )
| ~ spl2_17 ),
inference(resolution,[],[f291,f1]) ).
fof(f617,plain,
( member(y,universal_class)
| ~ spl2_17 ),
inference(resolution,[],[f572,f4]) ).
fof(f629,plain,
( $false
| spl2_15
| ~ spl2_17 ),
inference(forward_subsumption_resolution,[],[f617,f282]) ).
fof(f630,plain,
( spl2_15
| ~ spl2_17 ),
inference(avatar_contradiction_clause,[],[f629]) ).
fof(f3344,plain,
( y = not_subclass_element(sF0,sF1)
| spl2_1
| ~ spl2_10 ),
inference(resolution,[],[f476,f186]) ).
fof(f3407,definition,
( spl2_187
<=> y = not_subclass_element(sF0,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_187])],[avatar_definition]) ).
fof(f3409,plain,
( y = not_subclass_element(sF0,sF1)
| ~ spl2_187 ),
inference(avatar_component_clause,[],[f3407]) ).
fof(f3410,plain,
( spl2_187
| spl2_1
| ~ spl2_10 ),
inference(avatar_split_clause,[],[f3344,f229,f184,f3407]) ).
fof(f3604,plain,
( ~ member(y,sF1)
| subclass(sF0,sF1)
| ~ spl2_187 ),
inference(superposition,[],[f3,f3409]) ).
fof(f3718,plain,
( subclass(sF0,sF1)
| ~ spl2_16
| ~ spl2_187 ),
inference(forward_subsumption_resolution,[],[f3604,f286]) ).
fof(f3743,plain,
( $false
| spl2_1
| ~ spl2_16
| ~ spl2_187 ),
inference(forward_subsumption_resolution,[],[f3718,f186]) ).
fof(f3744,plain,
( spl2_1
| ~ spl2_16
| ~ spl2_187 ),
inference(avatar_contradiction_clause,[],[f3743]) ).
cnf(s1,plain,
~ spl2_1,
inference(sat_conversion,[],[f187]) ).
cnf(s10,plain,
spl2_10,
inference(sat_conversion,[],[f232]) ).
cnf(s11,plain,
spl2_11,
inference(sat_conversion,[],[f238]) ).
cnf(s15,plain,
( ~ spl2_11
| ~ spl2_15
| spl2_16 ),
inference(sat_conversion,[],[f287]) ).
cnf(s26,plain,
( ~ spl2_10
| spl2_32
| spl2_34 ),
inference(sat_conversion,[],[f491]) ).
cnf(s28,plain,
( spl2_1
| ~ spl2_32 ),
inference(sat_conversion,[],[f507]) ).
cnf(s30,plain,
( spl2_17
| spl2_32
| ~ spl2_34 ),
inference(sat_conversion,[],[f538]) ).
cnf(s33,plain,
( spl2_15
| ~ spl2_17 ),
inference(sat_conversion,[],[f630]) ).
cnf(s185,plain,
( spl2_1
| ~ spl2_10
| spl2_187 ),
inference(sat_conversion,[],[f3410]) ).
cnf(s254,plain,
( spl2_1
| ~ spl2_16
| ~ spl2_187 ),
inference(sat_conversion,[],[f3744]) ).
cnf(s272,plain,
spl2_187,
inference(rat,[],[s185,s10,s1]) ).
cnf(s273,plain,
~ spl2_32,
inference(rat,[],[s28,s1]) ).
cnf(s274,plain,
~ spl2_16,
inference(rat,[],[s254,s1,s272]) ).
cnf(s276,plain,
spl2_34,
inference(rat,[],[s26,s10,s273]) ).
cnf(s279,plain,
~ spl2_15,
inference(rat,[],[s15,s11,s274]) ).
cnf(s281,plain,
spl2_17,
inference(rat,[],[s30,s273,s276]) ).
cnf(s282,plain,
$false,
inference(rat,[],[s33,s281,s279]) ).
fof(f3746,plain,
$false,
inference(avatar_sat_refutation,[],[s282]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET068-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n017.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 00:24:35 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 6.10/1.86 % (3108691)Input is clausal, will run a generic CNF schedule.
% 6.10/1.86 % (3108699)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1707035142:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.10/1.86 % (3108698)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=328700603:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.10/1.86 % (3108704)dis-21_1_sil=8000:lcm=predicate:random_seed=476820259: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)
% 6.10/1.86 % (3108701)lrs+10_1_sil=8000:sp=occurrence:random_seed=4021010591:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.10/1.86 % (3108700)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3871221822:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.10/1.86 % (3108702)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3184239060:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.10/1.86 % (3108703)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3972856860:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.10/1.86 % (3108701)Refutation not found, incomplete strategy
% 6.10/1.86 % (3108701)------------------------------
% 6.10/1.86 % (3108701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.86 % (3108701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.86 % (3108701)CaDiCaL version: 2.1.3
% 6.10/1.86 % (3108701)Termination reason: Refutation not found, incomplete strategy
% 6.10/1.86 % (3108701)Time elapsed: 0.009 s
% 6.10/1.86 % (3108701)Peak memory usage: 88 MB
% 6.10/1.86 % (3108701)Instructions burned: 11 (million)
% 6.10/1.86 % (3108702)Instruction limit reached!
% 6.10/1.86 % (3108702)------------------------------
% 6.10/1.86 % (3108702)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.86 % (3108702)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.86 % (3108702)CaDiCaL version: 2.1.3
% 6.10/1.86 % (3108702)Termination reason: Instruction limit
% 6.10/1.86 % (3108702)Termination phase: Saturation
% 6.10/1.86 % (3108702)Time elapsed: 0.072 s
% 6.10/1.86 % (3108702)Peak memory usage: 88 MB
% 6.10/1.86 % (3108702)Instructions burned: 116 (million)
% 6.10/1.86 % (3108704)Instruction limit reached!
% 6.10/1.86 % (3108704)------------------------------
% 6.10/1.86 % (3108704)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.86 % (3108704)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.86 % (3108704)CaDiCaL version: 2.1.3
% 6.10/1.86 % (3108704)Termination reason: Instruction limit
% 6.10/1.86 % (3108704)Termination phase: Saturation
% 6.10/1.86 % (3108704)Time elapsed: 0.075 s
% 6.10/1.86 % (3108704)Peak memory usage: 88 MB
% 6.10/1.86 % (3108704)Instructions burned: 118 (million)
% 6.10/1.86 % (3108703)Instruction limit reached!
% 6.10/1.86 % (3108703)------------------------------
% 6.10/1.86 % (3108703)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.86 % (3108703)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.86 % (3108703)CaDiCaL version: 2.1.3
% 6.10/1.86 % (3108703)Termination reason: Instruction limit
% 6.10/1.86 % (3108703)Termination phase: Saturation
% 6.10/1.86 % (3108703)Time elapsed: 0.087 s
% 6.10/1.86 % (3108703)Peak memory usage: 89 MB
% 6.10/1.86 % (3108703)Instructions burned: 181 (million)
% 6.10/1.86 % (3108712)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=4225308965:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.10/1.86 % (3108713)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3697043555: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)
% 6.10/1.86 % (3108712)Refutation not found, incomplete strategy
% 6.10/1.86 % (3108712)------------------------------
% 6.10/1.86 % (3108712)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.86 % (3108712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.86 % (3108712)CaDiCaL version: 2.1.3
% 6.10/1.86 % (3108712)Termination reason: Refutation not found, incomplete strategy
% 6.10/1.86 % (3108712)Time elapsed: 0.004 s
% 6.10/1.86 % (3108712)Peak memory usage: 88 MB
% 6.10/1.86 % (3108712)Instructions burned: 4 (million)
% 6.10/1.86 % (3108714)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1386897946:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.10/1.86 % (3108701)------------------------------
% 6.10/1.86 % (3108701)------------------------------
% 6.10/1.86 % (3108714)Instruction limit reached!
% 6.10/1.86 % (3108714)------------------------------
% 6.10/1.86 % (3108714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.86 % (3108714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.86 % (3108714)CaDiCaL version: 2.1.3
% 6.10/1.86 % (3108714)Termination reason: Instruction limit
% 6.10/1.86 % (3108714)Termination phase: Saturation
% 6.10/1.86 % (3108714)Time elapsed: 0.086 s
% 6.10/1.86 % (3108714)Peak memory usage: 88 MB
% 6.10/1.86 % (3108714)Instructions burned: 219 (million)
% 6.10/1.86 % (3108713)Instruction limit reached!
% 6.10/1.86 % (3108713)------------------------------
% 6.10/1.86 % (3108713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.86 % (3108713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.86 % (3108713)CaDiCaL version: 2.1.3
% 6.10/1.86 % (3108713)Termination reason: Instruction limit
% 6.10/1.86 % (3108713)Termination phase: Saturation
% 6.10/1.86 % (3108713)Time elapsed: 0.099 s
% 6.10/1.86 % (3108713)Peak memory usage: 90 MB
% 6.10/1.86 % (3108713)Instructions burned: 191 (million)
% 6.10/1.86 % (3108718)lrs+10_64_to=lpo:sil=8000:random_seed=2838594065:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.10/1.86 % (3108712)------------------------------
% 6.10/1.86 % (3108712)------------------------------
% 6.10/1.86 % (3108720)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=4150532288:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 6.10/1.86 % (3108719)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=341093670:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.10/1.86 % (3108718)Instruction limit reached!
% 6.10/1.86 % (3108718)------------------------------
% 6.10/1.86 % (3108718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.86 % (3108718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.86 % (3108718)CaDiCaL version: 2.1.3
% 6.10/1.86 % (3108718)Termination reason: Instruction limit
% 6.10/1.86 % (3108718)Termination phase: Saturation
% 6.10/1.86 % (3108718)Time elapsed: 0.084 s
% 6.10/1.86 % (3108718)Peak memory usage: 89 MB
% 6.10/1.86 % (3108718)Instructions burned: 127 (million)
% 6.10/1.86 % (3108719)Instruction limit reached!
% 6.10/1.86 % (3108719)------------------------------
% 6.10/1.86 % (3108719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.86 % (3108719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.86 % (3108719)CaDiCaL version: 2.1.3
% 6.10/1.86 % (3108719)Termination reason: Instruction limit
% 6.10/1.86 % (3108719)Termination phase: Saturation
% 6.10/1.86 % (3108719)Time elapsed: 0.082 s
% 6.10/1.86 % (3108719)Peak memory usage: 88 MB
% 6.10/1.86 % (3108719)Instructions burned: 197 (million)
% 6.10/1.86 % (3108720)First to succeed.
% 6.10/1.86 % (3108720)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3108691"
% 6.10/1.86 % (3108724)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3152039343:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 6.10/1.86 % (3108725)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=773985387:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 6.10/1.86 % (3108700)Also succeeded, but the first one will report.
% 6.10/1.86 % (3108698)Also succeeded, but the first one will report.
% 6.10/1.86 % (3108725)Instruction limit reached!
% 6.10/1.86 % (3108725)------------------------------
% 6.10/1.86 % (3108725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.10/1.86 % (3108725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.10/1.86 % (3108725)CaDiCaL version: 2.1.3
% 6.10/1.86 % (3108725)Termination reason: Instruction limit
% 6.10/1.86 % (3108725)Termination phase: Saturation
% 6.10/1.86 % (3108725)Time elapsed: 0.060 s
% 7.74/2.05 % (3108725)Peak memory usage: 89 MB
% 7.74/2.05 % (3108725)Instructions burned: 106 (million)
% 7.74/2.05 % (3108726)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3204448095:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 7.74/2.05 % (3108726)Also succeeded, but the first one will report.
% 7.74/2.05 % (3108720)Refutation found. Thanks to Tanya!
% 7.74/2.05 % SZS status Unsatisfiable for theBenchmark
% 7.74/2.05 % SZS output start Proof for theBenchmark
% See solution above
% 7.74/2.05 % (3108720)------------------------------
% 7.74/2.05 % (3108720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.74/2.05 % (3108720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.74/2.05 % (3108720)CaDiCaL version: 2.1.3
% 7.74/2.05 % (3108720)Termination reason: Refutation
% 7.74/2.05 % (3108720)Time elapsed: 0.103 s
% 7.74/2.05 % (3108720)Peak memory usage: 92 MB
% 7.74/2.05 % (3108720)Instructions burned: 147 (million)
% 7.74/2.05 % (3108720)------------------------------
% 7.74/2.05 % (3108720)------------------------------
% 7.74/2.05 % (3108691)Success in time 1.012 s
% 7.74/2.05 % Vampire exiting
%------------------------------------------------------------------------------