%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA002-3 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 09:30:48 AM UTC 2026
% Result : Unsatisfiable 7.53s 1.64s
% Output : Refutation 9.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 76 ( 14 unt; 3 def)
% Number of atoms : 220 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 244 ( 100 ~; 141 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 46 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( less_than_or_equal(X0,X1)
| less_than_or_equal(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',totality_of_less) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ less_than_or_equal(X2,X1)
| ~ less_than_or_equal(X0,X2)
| less_than_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_less) ).
fof(f4,axiom,
! [X0,X1] :
( ~ less_than_or_equal(X0,q(X1,X0))
| less_than_or_equal(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',interpolation1) ).
fof(f5,axiom,
! [X0,X1] :
( ~ less_than_or_equal(q(X0,X1),X0)
| less_than_or_equal(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',interpolation2) ).
fof(f6,axiom,
! [X0] :
( ~ less_than_or_equal(X0,h(X0))
| less_than_or_equal(f(X0),n0)
| ~ less_than_or_equal(lower_bound,X0)
| ~ less_than_or_equal(X0,upper_bound) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',continuity1) ).
fof(f7,axiom,
! [X0,X1] :
( ~ less_than_or_equal(f(X1),n0)
| ~ less_than_or_equal(X1,X0)
| less_than_or_equal(f(X0),n0)
| less_than_or_equal(X1,h(X0))
| ~ less_than_or_equal(lower_bound,X0)
| ~ less_than_or_equal(X0,upper_bound) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',continuity2) ).
fof(f8,axiom,
! [X0] :
( ~ less_than_or_equal(k(X0),X0)
| less_than_or_equal(n0,f(X0))
| ~ less_than_or_equal(lower_bound,X0)
| ~ less_than_or_equal(X0,upper_bound) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',continuity3) ).
fof(f9,axiom,
! [X0,X1] :
( ~ less_than_or_equal(n0,f(X1))
| ~ less_than_or_equal(X0,X1)
| less_than_or_equal(n0,f(X0))
| less_than_or_equal(k(X0),X1)
| ~ less_than_or_equal(lower_bound,X0)
| ~ less_than_or_equal(X0,upper_bound) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',continuity4) ).
fof(f10,axiom,
! [X0] :
( ~ less_than_or_equal(f(X0),n0)
| ~ less_than_or_equal(X0,upper_bound)
| less_than_or_equal(X0,l) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',crossover1) ).
fof(f11,axiom,
! [X0] :
( less_than_or_equal(g(X0),upper_bound)
| less_than_or_equal(l,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',crossover2_and_g_function1) ).
fof(f12,axiom,
! [X0] :
( less_than_or_equal(f(g(X0)),n0)
| less_than_or_equal(l,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',crossover3_and_g_function2) ).
fof(f13,axiom,
! [X0] :
( ~ less_than_or_equal(g(X0),X0)
| less_than_or_equal(l,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',crossover4_and_g_function3) ).
fof(f14,axiom,
less_than_or_equal(lower_bound,upper_bound),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_interval) ).
fof(f15,axiom,
less_than_or_equal(f(lower_bound),n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lower_mapping) ).
fof(f16,axiom,
less_than_or_equal(n0,f(upper_bound)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',upper_mapping) ).
fof(f17,negated_conjecture,
! [X0] :
( ~ less_than_or_equal(n0,f(X0))
| ~ less_than_or_equal(f(X0),n0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_there_is_x_which_crosses) ).
fof(f25,plain,
( less_than_or_equal(l,upper_bound)
| less_than_or_equal(l,upper_bound) ),
inference(resolution,[],[f11,f13]) ).
fof(f26,plain,
less_than_or_equal(l,upper_bound),
inference(duplicate_literal_removal,[],[f25]) ).
fof(f29,plain,
! [X2,X0,X1] :
( ~ less_than_or_equal(X0,X1)
| less_than_or_equal(X0,X2)
| less_than_or_equal(X2,X1) ),
inference(resolution,[],[f3,f2]) ).
fof(f43,plain,
! [X0,X1] :
( less_than_or_equal(g(X0),h(X1))
| less_than_or_equal(f(X1),n0)
| ~ less_than_or_equal(g(X0),X1)
| ~ less_than_or_equal(lower_bound,X1)
| ~ less_than_or_equal(X1,upper_bound)
| less_than_or_equal(l,X0) ),
inference(resolution,[],[f7,f12]) ).
fof(f53,plain,
! [X0] :
( less_than_or_equal(f(X0),n0)
| ~ less_than_or_equal(g(h(X0)),X0)
| ~ less_than_or_equal(lower_bound,X0)
| ~ less_than_or_equal(X0,upper_bound)
| less_than_or_equal(l,h(X0))
| less_than_or_equal(l,h(X0)) ),
inference(resolution,[],[f43,f13]) ).
fof(f58,plain,
! [X0] :
( ~ less_than_or_equal(g(h(X0)),X0)
| less_than_or_equal(f(X0),n0)
| ~ less_than_or_equal(lower_bound,X0)
| ~ less_than_or_equal(X0,upper_bound)
| less_than_or_equal(l,h(X0)) ),
inference(duplicate_literal_removal,[],[f53]) ).
fof(f77,plain,
! [X0] :
( ~ less_than_or_equal(X0,upper_bound)
| less_than_or_equal(n0,f(X0))
| less_than_or_equal(k(X0),upper_bound)
| ~ less_than_or_equal(lower_bound,X0)
| ~ less_than_or_equal(X0,upper_bound) ),
inference(resolution,[],[f16,f9]) ).
fof(f81,plain,
! [X0] :
( less_than_or_equal(k(X0),upper_bound)
| less_than_or_equal(n0,f(X0))
| ~ less_than_or_equal(X0,upper_bound)
| ~ less_than_or_equal(lower_bound,X0) ),
inference(duplicate_literal_removal,[],[f77]) ).
fof(f122,plain,
! [X0] :
( ~ less_than_or_equal(g(X0),upper_bound)
| less_than_or_equal(g(X0),l)
| less_than_or_equal(l,X0) ),
inference(resolution,[],[f10,f12]) ).
fof(f123,plain,
( ~ less_than_or_equal(lower_bound,upper_bound)
| less_than_or_equal(lower_bound,l) ),
inference(resolution,[],[f10,f15]) ).
fof(f126,plain,
! [X0] :
( less_than_or_equal(n0,f(X0))
| less_than_or_equal(X0,l)
| ~ less_than_or_equal(X0,upper_bound) ),
inference(resolution,[],[f10,f2]) ).
fof(f128,plain,
less_than_or_equal(lower_bound,l),
inference(forward_subsumption_resolution,[],[f123,f14]) ).
fof(f129,plain,
! [X0] :
( less_than_or_equal(g(X0),l)
| less_than_or_equal(l,X0) ),
inference(forward_subsumption_resolution,[],[f122,f11]) ).
fof(f133,plain,
( less_than_or_equal(l,h(l))
| less_than_or_equal(f(l),n0)
| ~ less_than_or_equal(lower_bound,l)
| ~ less_than_or_equal(l,upper_bound)
| less_than_or_equal(l,h(l)) ),
inference(resolution,[],[f129,f58]) ).
fof(f136,plain,
( less_than_or_equal(l,h(l))
| less_than_or_equal(f(l),n0)
| ~ less_than_or_equal(lower_bound,l)
| ~ less_than_or_equal(l,upper_bound) ),
inference(duplicate_literal_removal,[],[f133]) ).
fof(f138,plain,
( less_than_or_equal(f(l),n0)
| ~ less_than_or_equal(lower_bound,l)
| ~ less_than_or_equal(l,upper_bound) ),
inference(forward_subsumption_resolution,[],[f136,f6]) ).
fof(f139,plain,
( less_than_or_equal(f(l),n0)
| ~ less_than_or_equal(l,upper_bound) ),
inference(forward_subsumption_resolution,[],[f138,f128]) ).
fof(f140,plain,
less_than_or_equal(f(l),n0),
inference(forward_subsumption_resolution,[],[f139,f26]) ).
fof(f177,plain,
! [X0,X1] :
( less_than_or_equal(X0,l)
| ~ less_than_or_equal(X0,upper_bound)
| ~ less_than_or_equal(X1,X0)
| less_than_or_equal(n0,f(X1))
| less_than_or_equal(k(X1),X0)
| ~ less_than_or_equal(lower_bound,X1)
| ~ less_than_or_equal(X1,upper_bound) ),
inference(resolution,[],[f126,f9]) ).
fof(f182,plain,
! [X0,X1] :
( less_than_or_equal(k(X1),X0)
| ~ less_than_or_equal(X0,upper_bound)
| ~ less_than_or_equal(X1,X0)
| less_than_or_equal(n0,f(X1))
| less_than_or_equal(X0,l)
| ~ less_than_or_equal(lower_bound,X1) ),
inference(forward_subsumption_resolution,[],[f177,f3]) ).
fof(f191,definition,
( spl0_4
<=> less_than_or_equal(k(l),upper_bound) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f192,plain,
( less_than_or_equal(k(l),upper_bound)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f193,plain,
( ~ less_than_or_equal(k(l),upper_bound)
| spl0_4 ),
inference(avatar_component_clause,[],[f191]) ).
fof(f216,plain,
( less_than_or_equal(n0,f(l))
| ~ less_than_or_equal(l,upper_bound)
| ~ less_than_or_equal(lower_bound,l)
| spl0_4 ),
inference(resolution,[],[f193,f81]) ).
fof(f221,plain,
( less_than_or_equal(n0,f(l))
| ~ less_than_or_equal(lower_bound,l)
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f216,f26]) ).
fof(f223,plain,
( less_than_or_equal(n0,f(l))
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f221,f128]) ).
fof(f226,plain,
( ~ less_than_or_equal(f(l),n0)
| spl0_4 ),
inference(resolution,[],[f223,f17]) ).
fof(f230,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f226,f140]) ).
fof(f231,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f230]) ).
fof(f233,plain,
( ! [X0] :
( less_than_or_equal(k(l),X0)
| less_than_or_equal(X0,upper_bound) )
| ~ spl0_4 ),
inference(resolution,[],[f192,f29]) ).
fof(f249,plain,
( ! [X0] :
( less_than_or_equal(q(X0,k(l)),upper_bound)
| less_than_or_equal(k(l),X0) )
| ~ spl0_4 ),
inference(resolution,[],[f233,f4]) ).
fof(f1710,plain,
! [X0,X1] :
( ~ less_than_or_equal(q(X0,k(X1)),upper_bound)
| ~ less_than_or_equal(X1,q(X0,k(X1)))
| less_than_or_equal(n0,f(X1))
| less_than_or_equal(q(X0,k(X1)),l)
| ~ less_than_or_equal(lower_bound,X1)
| less_than_or_equal(k(X1),X0) ),
inference(resolution,[],[f182,f4]) ).
fof(f1719,plain,
( ! [X0] :
( ~ less_than_or_equal(l,q(X0,k(l)))
| less_than_or_equal(n0,f(l))
| less_than_or_equal(q(X0,k(l)),l)
| ~ less_than_or_equal(lower_bound,l)
| less_than_or_equal(k(l),X0)
| less_than_or_equal(k(l),X0) )
| ~ spl0_4 ),
inference(resolution,[],[f1710,f249]) ).
fof(f1725,plain,
( ! [X0] :
( ~ less_than_or_equal(l,q(X0,k(l)))
| less_than_or_equal(n0,f(l))
| less_than_or_equal(q(X0,k(l)),l)
| ~ less_than_or_equal(lower_bound,l)
| less_than_or_equal(k(l),X0) )
| ~ spl0_4 ),
inference(duplicate_literal_removal,[],[f1719]) ).
fof(f1726,plain,
( ! [X0] :
( less_than_or_equal(n0,f(l))
| less_than_or_equal(q(X0,k(l)),l)
| ~ less_than_or_equal(lower_bound,l)
| less_than_or_equal(k(l),X0) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1725,f2]) ).
fof(f1727,plain,
( ! [X0] :
( less_than_or_equal(n0,f(l))
| less_than_or_equal(q(X0,k(l)),l)
| less_than_or_equal(k(l),X0) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1726,f128]) ).
fof(f1729,definition,
( spl0_91
<=> ! [X0] :
( less_than_or_equal(q(X0,k(l)),l)
| less_than_or_equal(k(l),X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_91])],[avatar_definition]) ).
fof(f1730,plain,
( ! [X0] :
( less_than_or_equal(q(X0,k(l)),l)
| less_than_or_equal(k(l),X0) )
| ~ spl0_91 ),
inference(avatar_component_clause,[],[f1729]) ).
fof(f1732,definition,
( spl0_92
<=> less_than_or_equal(n0,f(l)) ),
introduced(definition,[new_symbols(definition,[spl0_92])],[avatar_definition]) ).
fof(f1733,plain,
( ~ less_than_or_equal(n0,f(l))
| spl0_92 ),
inference(avatar_component_clause,[],[f1732]) ).
fof(f1734,plain,
( less_than_or_equal(n0,f(l))
| ~ spl0_92 ),
inference(avatar_component_clause,[],[f1732]) ).
fof(f1735,plain,
( spl0_91
| spl0_92
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1727,f191,f1732,f1729]) ).
fof(f1737,plain,
( ~ less_than_or_equal(f(l),n0)
| ~ spl0_92 ),
inference(resolution,[],[f1734,f17]) ).
fof(f1743,plain,
( $false
| ~ spl0_92 ),
inference(forward_subsumption_resolution,[],[f1737,f140]) ).
fof(f1744,plain,
~ spl0_92,
inference(avatar_contradiction_clause,[],[f1743]) ).
fof(f1748,plain,
( less_than_or_equal(k(l),l)
| less_than_or_equal(k(l),l)
| ~ spl0_91 ),
inference(resolution,[],[f1730,f5]) ).
fof(f1751,plain,
( less_than_or_equal(k(l),l)
| ~ spl0_91 ),
inference(duplicate_literal_removal,[],[f1748]) ).
fof(f1753,plain,
( less_than_or_equal(n0,f(l))
| ~ less_than_or_equal(lower_bound,l)
| ~ less_than_or_equal(l,upper_bound)
| ~ spl0_91 ),
inference(resolution,[],[f1751,f8]) ).
fof(f1756,plain,
( ~ less_than_or_equal(lower_bound,l)
| ~ less_than_or_equal(l,upper_bound)
| ~ spl0_91
| spl0_92 ),
inference(forward_subsumption_resolution,[],[f1753,f1733]) ).
fof(f1757,plain,
( ~ less_than_or_equal(l,upper_bound)
| ~ spl0_91
| spl0_92 ),
inference(forward_subsumption_resolution,[],[f1756,f128]) ).
fof(f1758,plain,
( $false
| ~ spl0_91
| spl0_92 ),
inference(forward_subsumption_resolution,[],[f1757,f26]) ).
fof(f1759,plain,
( ~ spl0_91
| spl0_92 ),
inference(avatar_contradiction_clause,[],[f1758]) ).
cnf(s4,plain,
spl0_4,
inference(sat_conversion,[],[f231]) ).
cnf(s67,plain,
( ~ spl0_4
| spl0_91
| spl0_92 ),
inference(sat_conversion,[],[f1735]) ).
cnf(s68,plain,
~ spl0_92,
inference(sat_conversion,[],[f1744]) ).
cnf(s70,plain,
( ~ spl0_91
| spl0_92 ),
inference(sat_conversion,[],[f1759]) ).
cnf(s71,plain,
~ spl0_91,
inference(rat,[],[s70,s68]) ).
cnf(s72,plain,
~ spl0_4,
inference(rat,[],[s67,s68,s71]) ).
cnf(s75,plain,
$false,
inference(rat,[],[s4,s72]) ).
fof(f1760,plain,
$false,
inference(avatar_sat_refutation,[],[s75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA002-3 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n001.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 20:31:04 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 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
% 7.53/1.64 % (684633)Input is clausal, will run a generic CNF schedule.
% 7.53/1.64 % (684643)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3282733510:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.53/1.64 % (684644)dis-21_1_sil=8000:lcm=predicate:random_seed=1926536277: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)
% 7.53/1.64 % (684639)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1082504769:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.53/1.64 % (684638)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=46160442:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.53/1.64 % (684641)lrs+10_1_sil=8000:sp=occurrence:random_seed=371245580:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.53/1.64 % (684642)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4104621737:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.53/1.64 % (684640)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=372520502:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.53/1.64 % (684642)Instruction limit reached!
% 7.53/1.64 % (684642)------------------------------
% 7.53/1.64 % (684642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.64 % (684642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.64 % (684642)CaDiCaL version: 2.1.3
% 7.53/1.64 % (684642)Termination reason: Instruction limit
% 7.53/1.64 % (684642)Termination phase: Saturation
% 7.53/1.64 % (684642)Time elapsed: 0.050 s
% 7.53/1.64 % (684642)Peak memory usage: 87 MB
% 7.53/1.64 % (684642)Instructions burned: 116 (million)
% 7.53/1.64 % (684643)Instruction limit reached!
% 7.53/1.64 % (684643)------------------------------
% 7.53/1.64 % (684643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.64 % (684643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.64 % (684643)CaDiCaL version: 2.1.3
% 7.53/1.64 % (684643)Termination reason: Instruction limit
% 7.53/1.64 % (684643)Termination phase: Saturation
% 7.53/1.64 % (684643)Time elapsed: 0.065 s
% 7.53/1.64 % (684643)Peak memory usage: 89 MB
% 7.53/1.64 % (684643)Instructions burned: 181 (million)
% 7.53/1.64 % (684641)Instruction limit reached!
% 7.53/1.64 % (684641)------------------------------
% 7.53/1.64 % (684641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.64 % (684641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.64 % (684641)CaDiCaL version: 2.1.3
% 7.53/1.64 % (684641)Termination reason: Instruction limit
% 7.53/1.64 % (684641)Termination phase: Saturation
% 7.53/1.64 % (684641)Time elapsed: 0.065 s
% 7.53/1.64 % (684641)Peak memory usage: 88 MB
% 7.53/1.64 % (684641)Instructions burned: 107 (million)
% 7.53/1.64 % (684644)Instruction limit reached!
% 7.53/1.64 % (684644)------------------------------
% 7.53/1.64 % (684644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.64 % (684644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.64 % (684644)CaDiCaL version: 2.1.3
% 7.53/1.64 % (684644)Termination reason: Instruction limit
% 7.53/1.64 % (684644)Termination phase: Saturation
% 7.53/1.64 % (684644)Time elapsed: 0.074 s
% 7.53/1.64 % (684644)Peak memory usage: 89 MB
% 7.53/1.64 % (684644)Instructions burned: 118 (million)
% 7.53/1.64 % (684653)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1619558628:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 7.53/1.64 % (684652)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=756518409:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.53/1.64 % (684653)Instruction limit reached!
% 7.53/1.64 % (684653)------------------------------
% 7.53/1.64 % (684653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.64 % (684653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.64 % (684653)CaDiCaL version: 2.1.3
% 7.53/1.64 % (684653)Termination reason: Instruction limit
% 7.53/1.64 % (684653)Termination phase: Saturation
% 7.53/1.64 % (684653)Time elapsed: 0.057 s
% 7.53/1.64 % (684653)Peak memory usage: 88 MB
% 7.53/1.64 % (684653)Instructions burned: 191 (million)
% 7.53/1.64 % (684655)lrs+10_64_to=lpo:sil=8000:random_seed=3120726829:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 7.53/1.64 % (684654)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=696099404:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.53/1.64 % (684652)Instruction limit reached!
% 7.53/1.64 % (684652)------------------------------
% 7.53/1.64 % (684652)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.64 % (684652)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.64 % (684652)CaDiCaL version: 2.1.3
% 7.53/1.64 % (684652)Termination reason: Instruction limit
% 7.53/1.64 % (684652)Termination phase: Saturation
% 7.53/1.64 % (684652)Time elapsed: 0.087 s
% 7.53/1.64 % (684652)Peak memory usage: 89 MB
% 7.53/1.64 % (684652)Instructions burned: 144 (million)
% 7.53/1.64 % (684658)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4138263272:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 7.53/1.64 % (684655)Instruction limit reached!
% 7.53/1.64 % (684655)------------------------------
% 7.53/1.64 % (684655)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.64 % (684655)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.64 % (684655)CaDiCaL version: 2.1.3
% 7.53/1.64 % (684655)Termination reason: Instruction limit
% 7.53/1.64 % (684655)Termination phase: Saturation
% 7.53/1.64 % (684655)Time elapsed: 0.082 s
% 7.53/1.64 % (684655)Peak memory usage: 89 MB
% 7.53/1.64 % (684655)Instructions burned: 126 (million)
% 7.53/1.64 % (684654)Instruction limit reached!
% 7.53/1.64 % (684654)------------------------------
% 7.53/1.64 % (684654)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.64 % (684654)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.64 % (684654)CaDiCaL version: 2.1.3
% 7.53/1.64 % (684654)Termination reason: Instruction limit
% 7.53/1.64 % (684654)Termination phase: Saturation
% 7.53/1.64 % (684654)Time elapsed: 0.132 s
% 7.53/1.64 % (684654)Peak memory usage: 89 MB
% 7.53/1.64 % (684654)Instructions burned: 220 (million)
% 7.53/1.64 % (684658)Instruction limit reached!
% 7.53/1.64 % (684658)------------------------------
% 7.53/1.64 % (684658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.64 % (684658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.64 % (684658)CaDiCaL version: 2.1.3
% 7.53/1.64 % (684658)Termination reason: Instruction limit
% 7.53/1.64 % (684658)Termination phase: Saturation
% 7.53/1.64 % (684658)Time elapsed: 0.060 s
% 7.53/1.64 % (684658)Peak memory usage: 88 MB
% 7.53/1.64 % (684658)Instructions burned: 197 (million)
% 7.53/1.64 % (684661)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2326325379:i=157:gtg=all_2996 on theBenchmark for (2996ds/157Mi)
% 7.53/1.64 % (684663)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1397357644:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 7.53/1.64 % (684665)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4006040377:i=107_2995 on theBenchmark for (2995ds/107Mi)
% 7.53/1.64 % (684665)Instruction limit reached!
% 7.53/1.64 % (684665)------------------------------
% 7.53/1.64 % (684665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.64 % (684665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.64 % (684665)CaDiCaL version: 2.1.3
% 7.53/1.64 % (684665)Termination reason: Instruction limit
% 7.53/1.64 % (684665)Termination phase: Saturation
% 7.53/1.64 % (684665)Time elapsed: 0.037 s
% 7.53/1.64 % (684665)Peak memory usage: 89 MB
% 7.53/1.64 % (684665)Instructions burned: 109 (million)
% 7.53/1.64 % (684664)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=1735108628:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2995 on theBenchmark for (2995ds/106Mi)
% 7.53/1.64 % (684664)Refutation not found, incomplete strategy
% 7.53/1.64 % (684664)------------------------------
% 7.53/1.64 % (684664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.64 % (684664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.64 % (684664)CaDiCaL version: 2.1.3
% 7.53/1.64 % (684664)Termination reason: Refutation not found, incomplete strategy
% 7.53/1.64 % (684664)Time elapsed: 0.002 s
% 7.53/1.64 % (684664)Peak memory usage: 88 MB
% 7.53/1.64 % (684664)Instructions burned: 2 (million)
% 7.53/1.64 % (684661)Instruction limit reached!
% 7.53/1.64 % (684661)------------------------------
% 7.53/1.64 % (684661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.64 % (684661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.64 % (684661)CaDiCaL version: 2.1.3
% 7.53/1.64 % (684661)Termination reason: Instruction limit
% 7.53/1.64 % (684661)Termination phase: Saturation
% 7.53/1.64 % (684661)Time elapsed: 0.099 s
% 7.53/1.64 % (684661)Peak memory usage: 89 MB
% 7.53/1.64 % (684661)Instructions burned: 163 (million)
% 7.53/1.64 % (684670)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2494999830:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2994 on theBenchmark for (2994ds/242Mi)
% 7.53/1.64 % (684671)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1875415554:cond=fast:i=5208:av=off_2993 on theBenchmark for (2993ds/5208Mi)
% 7.53/1.64 % (684670)Instruction limit reached!
% 7.53/1.64 % (684670)------------------------------
% 7.53/1.64 % (684670)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.64 % (684670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.64 % (684670)CaDiCaL version: 2.1.3
% 7.53/1.64 % (684670)Termination reason: Instruction limit
% 7.53/1.64 % (684670)Termination phase: Saturation
% 7.53/1.64 % (684670)Time elapsed: 0.082 s
% 7.53/1.64 % (684670)Peak memory usage: 89 MB
% 7.53/1.64 % (684670)Instructions burned: 242 (million)
% 7.53/1.64 % (684664)------------------------------
% 7.53/1.64 % (684664)------------------------------
% 7.53/1.64 % (684674)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1544969153:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 7.53/1.64 % (684674)Instruction limit reached!
% 7.53/1.64 % (684674)------------------------------
% 7.53/1.64 % (684674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.64 % (684674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.64 % (684674)CaDiCaL version: 2.1.3
% 7.53/1.64 % (684674)Termination reason: Instruction limit
% 7.53/1.64 % (684674)Termination phase: Saturation
% 7.53/1.64 % (684674)Time elapsed: 0.046 s
% 7.53/1.64 % (684674)Peak memory usage: 89 MB
% 7.53/1.64 % (684674)Instructions burned: 135 (million)
% 7.53/1.64 % (684638)First to succeed.
% 7.53/1.64 % (684638)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-684633"
% 7.53/1.64 % (684675)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4279583436:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 7.53/1.64 % (684677)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3279124228:i=191:fgj=on:bd=all_2991 on theBenchmark for (2991ds/191Mi)
% 7.53/1.64 % (684677)Instruction limit reached!
% 7.53/1.64 % (684677)------------------------------
% 7.53/1.64 % (684677)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.53/1.64 % (684677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.53/1.64 % (684677)CaDiCaL version: 2.1.3
% 7.53/1.64 % (684677)Termination reason: Instruction limit
% 7.53/1.64 % (684677)Termination phase: Saturation
% 7.53/1.64 % (684677)Time elapsed: 0.069 s
% 7.53/1.64 % (684677)Peak memory usage: 89 MB
% 7.53/1.64 % (684677)Instructions burned: 193 (million)
% 7.53/1.64 % (684680)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=653789216:i=264:kws=precedence:fsr=off_2989 on theBenchmark for (2989ds/264Mi)
% 7.53/1.64 % (684638)Refutation found. Thanks to Tanya!
% 7.53/1.64 % SZS status Unsatisfiable for theBenchmark
% 7.53/1.64 % SZS output start Proof for theBenchmark
% See solution above
% 9.07/1.84 % (684638)------------------------------
% 9.07/1.84 % (684638)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.07/1.84 % (684638)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.07/1.84 % (684638)CaDiCaL version: 2.1.3
% 9.07/1.84 % (684638)Termination reason: Refutation
% 9.07/1.84 % (684638)Time elapsed: 0.830 s
% 9.07/1.84 % (684638)Peak memory usage: 130 MB
% 9.07/1.84 % (684638)Instructions burned: 1225 (million)
% 9.07/1.84 % (684638)------------------------------
% 9.07/1.84 % (684638)------------------------------
% 9.07/1.84 % (684633)Success in time 1.227 s
% 9.07/1.84 % Vampire exiting
%------------------------------------------------------------------------------