%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA004-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 09:30:49 AM UTC 2026
% Result : Unsatisfiable 6.49s 2.10s
% Output : Refutation 6.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of formulae : 72 ( 13 unt; 8 def)
% Number of atoms : 172 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 175 ( 75 ~; 92 |; 0 &)
% ( 8 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 10 ( 9 usr; 9 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : less_or_equal(absolute(add(X0,X1)),add(absolute(X0),absolute(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absolute_sum_less_or_equal_sum_of_absolutes1) ).
fof(f15,axiom,
! [X2,X0,X1] :
( less_or_equal(add(X0,X2),X1)
| ~ less_or_equal(X2,half(X1))
| ~ less_or_equal(X0,half(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',less_or_equal_sum_of_halves) ).
fof(f16,axiom,
! [X0] :
( ~ less_or_equal(half(X0),n0)
| less_or_equal(X0,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_and_half) ).
fof(f19,axiom,
! [X0,X1] :
( less_or_equal(X1,X0)
| less_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_less_or_equal) ).
fof(f20,axiom,
! [X2,X0,X1] :
( less_or_equal(X0,X2)
| ~ less_or_equal(X1,X2)
| ~ less_or_equal(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_or_equal) ).
fof(f27,axiom,
! [X0] :
( ~ less_or_equal(delta_1(X0),n0)
| less_or_equal(X0,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f28,axiom,
! [X0] :
( ~ less_or_equal(delta_2(X0),n0)
| less_or_equal(X0,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f29,axiom,
! [X0,X1] :
( less_or_equal(absolute(add(f(X1),negate(f(a_real_number)))),X0)
| ~ less_or_equal(absolute(add(X1,negate(a_real_number))),delta_1(X0))
| less_or_equal(X0,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).
fof(f30,axiom,
! [X0,X1] :
( less_or_equal(absolute(add(g(X1),negate(g(a_real_number)))),X0)
| ~ less_or_equal(absolute(add(X1,negate(a_real_number))),delta_2(X0))
| less_or_equal(X0,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).
fof(f31,axiom,
~ less_or_equal(epsilon_0,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f32,axiom,
! [X0] :
( less_or_equal(absolute(add(xs(X0),negate(a_real_number))),X0)
| less_or_equal(X0,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_6) ).
fof(f33,negated_conjecture,
! [X0] :
( ~ less_or_equal(absolute(add(add(f(xs(X0)),negate(f(a_real_number))),add(g(xs(X0)),negate(g(a_real_number))))),epsilon_0)
| less_or_equal(X0,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7_1) ).
fof(f72,plain,
! [X0,X1] :
( ~ less_or_equal(absolute(add(add(f(xs(X1)),negate(f(a_real_number))),add(g(xs(X1)),negate(g(a_real_number))))),X0)
| ~ less_or_equal(X0,epsilon_0)
| less_or_equal(X1,n0) ),
inference(resolution,[],[f20,f33]) ).
fof(f83,plain,
! [X0] :
( ~ less_or_equal(add(absolute(add(f(xs(X0)),negate(f(a_real_number)))),absolute(add(g(xs(X0)),negate(g(a_real_number))))),epsilon_0)
| less_or_equal(X0,n0) ),
inference(resolution,[],[f1,f72]) ).
fof(f122,plain,
! [X0] :
( ~ less_or_equal(absolute(add(g(xs(X0)),negate(g(a_real_number)))),half(epsilon_0))
| ~ less_or_equal(absolute(add(f(xs(X0)),negate(f(a_real_number)))),half(epsilon_0))
| less_or_equal(X0,n0) ),
inference(resolution,[],[f15,f83]) ).
fof(f139,definition,
( spl1_1
<=> less_or_equal(half(epsilon_0),n0) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f140,plain,
( less_or_equal(half(epsilon_0),n0)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f139]) ).
fof(f157,plain,
! [X0] :
( ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_2(half(epsilon_0)))
| less_or_equal(half(epsilon_0),n0)
| ~ less_or_equal(absolute(add(f(xs(X0)),negate(f(a_real_number)))),half(epsilon_0))
| less_or_equal(X0,n0) ),
inference(resolution,[],[f30,f122]) ).
fof(f161,definition,
( spl1_3
<=> ! [X0] :
( ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_2(half(epsilon_0)))
| less_or_equal(X0,n0)
| ~ less_or_equal(absolute(add(f(xs(X0)),negate(f(a_real_number)))),half(epsilon_0)) ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f162,plain,
( ! [X0] :
( ~ less_or_equal(absolute(add(f(xs(X0)),negate(f(a_real_number)))),half(epsilon_0))
| less_or_equal(X0,n0)
| ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_2(half(epsilon_0))) )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f163,plain,
( spl1_1
| spl1_3 ),
inference(avatar_split_clause,[],[f157,f161,f139]) ).
fof(f164,plain,
( less_or_equal(epsilon_0,n0)
| ~ spl1_1 ),
inference(resolution,[],[f140,f16]) ).
fof(f165,plain,
( $false
| ~ spl1_1 ),
inference(resolution,[],[f164,f31]) ).
fof(f166,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f165]) ).
fof(f167,plain,
( ! [X0] :
( less_or_equal(X0,n0)
| ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_2(half(epsilon_0)))
| ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_1(half(epsilon_0)))
| less_or_equal(half(epsilon_0),n0) )
| ~ spl1_3 ),
inference(resolution,[],[f162,f29]) ).
fof(f171,definition,
( spl1_4
<=> ! [X0] :
( less_or_equal(X0,n0)
| ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_1(half(epsilon_0)))
| ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_2(half(epsilon_0))) ) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f172,plain,
( ! [X0] :
( ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_2(half(epsilon_0)))
| ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_1(half(epsilon_0)))
| less_or_equal(X0,n0) )
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f173,plain,
( spl1_1
| spl1_4
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f167,f161,f171,f139]) ).
fof(f174,plain,
( ~ less_or_equal(absolute(add(xs(delta_2(half(epsilon_0))),negate(a_real_number))),delta_1(half(epsilon_0)))
| less_or_equal(delta_2(half(epsilon_0)),n0)
| less_or_equal(delta_2(half(epsilon_0)),n0)
| ~ spl1_4 ),
inference(resolution,[],[f172,f32]) ).
fof(f176,plain,
( ! [X0] :
( ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_1(half(epsilon_0)))
| less_or_equal(X0,n0)
| less_or_equal(delta_2(half(epsilon_0)),absolute(add(xs(X0),negate(a_real_number)))) )
| ~ spl1_4 ),
inference(resolution,[],[f172,f19]) ).
fof(f177,plain,
( ~ less_or_equal(absolute(add(xs(delta_2(half(epsilon_0))),negate(a_real_number))),delta_1(half(epsilon_0)))
| less_or_equal(delta_2(half(epsilon_0)),n0)
| ~ spl1_4 ),
inference(duplicate_literal_removal,[],[f174]) ).
fof(f179,definition,
( spl1_5
<=> less_or_equal(delta_2(half(epsilon_0)),n0) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f180,plain,
( less_or_equal(delta_2(half(epsilon_0)),n0)
| ~ spl1_5 ),
inference(avatar_component_clause,[],[f179]) ).
fof(f182,definition,
( spl1_6
<=> less_or_equal(absolute(add(xs(delta_2(half(epsilon_0))),negate(a_real_number))),delta_1(half(epsilon_0))) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f183,plain,
( ~ less_or_equal(absolute(add(xs(delta_2(half(epsilon_0))),negate(a_real_number))),delta_1(half(epsilon_0)))
| spl1_6 ),
inference(avatar_component_clause,[],[f182]) ).
fof(f184,plain,
( spl1_5
| ~ spl1_6
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f177,f171,f182,f179]) ).
fof(f185,plain,
( ! [X0] :
( ~ less_or_equal(absolute(add(xs(delta_2(half(epsilon_0))),negate(a_real_number))),X0)
| ~ less_or_equal(X0,delta_1(half(epsilon_0))) )
| spl1_6 ),
inference(resolution,[],[f183,f20]) ).
fof(f208,plain,
( less_or_equal(delta_1(half(epsilon_0)),n0)
| less_or_equal(delta_2(half(epsilon_0)),absolute(add(xs(delta_1(half(epsilon_0))),negate(a_real_number))))
| less_or_equal(delta_1(half(epsilon_0)),n0)
| ~ spl1_4 ),
inference(resolution,[],[f176,f32]) ).
fof(f211,plain,
( less_or_equal(delta_1(half(epsilon_0)),n0)
| less_or_equal(delta_2(half(epsilon_0)),absolute(add(xs(delta_1(half(epsilon_0))),negate(a_real_number))))
| ~ spl1_4 ),
inference(duplicate_literal_removal,[],[f208]) ).
fof(f213,definition,
( spl1_10
<=> less_or_equal(delta_2(half(epsilon_0)),absolute(add(xs(delta_1(half(epsilon_0))),negate(a_real_number)))) ),
introduced(definition,[new_symbols(definition,[spl1_10])],[avatar_definition]) ).
fof(f216,definition,
( spl1_11
<=> less_or_equal(delta_1(half(epsilon_0)),n0) ),
introduced(definition,[new_symbols(definition,[spl1_11])],[avatar_definition]) ).
fof(f217,plain,
( less_or_equal(delta_1(half(epsilon_0)),n0)
| ~ spl1_11 ),
inference(avatar_component_clause,[],[f216]) ).
fof(f218,plain,
( spl1_10
| spl1_11
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f211,f171,f216,f213]) ).
fof(f233,plain,
( ~ less_or_equal(delta_2(half(epsilon_0)),delta_1(half(epsilon_0)))
| less_or_equal(delta_2(half(epsilon_0)),n0)
| spl1_6 ),
inference(resolution,[],[f185,f32]) ).
fof(f255,definition,
( spl1_17
<=> less_or_equal(delta_2(half(epsilon_0)),delta_1(half(epsilon_0))) ),
introduced(definition,[new_symbols(definition,[spl1_17])],[avatar_definition]) ).
fof(f256,plain,
( ~ less_or_equal(delta_2(half(epsilon_0)),delta_1(half(epsilon_0)))
| spl1_17 ),
inference(avatar_component_clause,[],[f255]) ).
fof(f257,plain,
( spl1_5
| ~ spl1_17
| spl1_6 ),
inference(avatar_split_clause,[],[f233,f182,f255,f179]) ).
fof(f261,plain,
( ! [X0] :
( ~ less_or_equal(X0,delta_1(half(epsilon_0)))
| ~ less_or_equal(delta_2(half(epsilon_0)),X0) )
| spl1_17 ),
inference(resolution,[],[f256,f20]) ).
fof(f691,plain,
( less_or_equal(half(epsilon_0),n0)
| ~ spl1_5 ),
inference(resolution,[],[f180,f28]) ).
fof(f693,plain,
( spl1_1
| ~ spl1_5 ),
inference(avatar_split_clause,[],[f691,f179,f139]) ).
fof(f782,plain,
( ~ less_or_equal(delta_2(half(epsilon_0)),absolute(add(xs(delta_1(half(epsilon_0))),negate(a_real_number))))
| less_or_equal(delta_1(half(epsilon_0)),n0)
| spl1_17 ),
inference(resolution,[],[f261,f32]) ).
fof(f823,plain,
( spl1_11
| ~ spl1_10
| spl1_17 ),
inference(avatar_split_clause,[],[f782,f255,f213,f216]) ).
fof(f824,plain,
( less_or_equal(half(epsilon_0),n0)
| ~ spl1_11 ),
inference(resolution,[],[f217,f27]) ).
fof(f826,plain,
( spl1_1
| ~ spl1_11 ),
inference(avatar_split_clause,[],[f824,f216,f139]) ).
cnf(s2,plain,
( spl1_1
| spl1_3 ),
inference(sat_conversion,[],[f163]) ).
cnf(s3,plain,
~ spl1_1,
inference(sat_conversion,[],[f166]) ).
cnf(s4,plain,
( spl1_1
| ~ spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f173]) ).
cnf(s5,plain,
( ~ spl1_4
| spl1_5
| ~ spl1_6 ),
inference(sat_conversion,[],[f184]) ).
cnf(s8,plain,
( ~ spl1_4
| spl1_10
| spl1_11 ),
inference(sat_conversion,[],[f218]) ).
cnf(s13,plain,
( spl1_5
| spl1_6
| ~ spl1_17 ),
inference(sat_conversion,[],[f257]) ).
cnf(s68,plain,
( spl1_1
| ~ spl1_5 ),
inference(sat_conversion,[],[f693]) ).
cnf(s86,plain,
( ~ spl1_10
| spl1_11
| spl1_17 ),
inference(sat_conversion,[],[f823]) ).
cnf(s87,plain,
( spl1_1
| ~ spl1_11 ),
inference(sat_conversion,[],[f826]) ).
cnf(s94,plain,
~ spl1_11,
inference(rat,[],[s87,s3]) ).
cnf(s95,plain,
~ spl1_5,
inference(rat,[],[s68,s3]) ).
cnf(s98,plain,
spl1_3,
inference(rat,[],[s2,s3]) ).
cnf(s104,plain,
spl1_4,
inference(rat,[],[s4,s3,s98]) ).
cnf(s109,plain,
spl1_10,
inference(rat,[],[s8,s94,s104]) ).
cnf(s110,plain,
~ spl1_6,
inference(rat,[],[s5,s95,s104]) ).
cnf(s111,plain,
spl1_17,
inference(rat,[],[s86,s94,s109]) ).
cnf(s112,plain,
$false,
inference(rat,[],[s13,s95,s111,s110]) ).
fof(f827,plain,
$false,
inference(avatar_sat_refutation,[],[s112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ANA004-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n008.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 20:26:39 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 2.39/1.76 % (2589313)Input is clausal, will run a generic CNF schedule.
% 2.39/1.76 % (2589321)lrs+10_1_sil=8000:sp=occurrence:random_seed=2637826065:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.39/1.76 % (2589321)Instruction limit reached!
% 2.39/1.76 % (2589321)------------------------------
% 2.39/1.76 % (2589321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.39/1.76 % (2589321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/1.76 % (2589321)CaDiCaL version: 2.1.3
% 2.39/1.76 % (2589321)Termination reason: Instruction limit
% 2.39/1.76 % (2589321)Termination phase: Saturation
% 2.39/1.76 % (2589321)Time elapsed: 0.052 s
% 2.39/1.76 % (2589321)Peak memory usage: 88 MB
% 2.39/1.76 % (2589321)Instructions burned: 109 (million)
% 2.39/1.76 % (2589318)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=81393733:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.39/1.76 % (2589319)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3231295341:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.39/1.76 % (2589320)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4189376455:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.39/1.76 % (2589323)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2617620938:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.39/1.76 % (2589322)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1539498248:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.39/1.76 % (2589324)dis-21_1_sil=8000:lcm=predicate:random_seed=132088644: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)
% 2.39/1.76 % (2589324)First to succeed.
% 2.39/1.76 % (2589324)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2589313"
% 2.39/1.76 % (2589322)Instruction limit reached!
% 2.39/1.76 % (2589322)------------------------------
% 2.39/1.76 % (2589322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.39/1.76 % (2589322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/1.76 % (2589322)CaDiCaL version: 2.1.3
% 2.39/1.76 % (2589322)Termination reason: Instruction limit
% 2.39/1.76 % (2589322)Termination phase: Saturation
% 2.39/1.76 % (2589322)Time elapsed: 0.117 s
% 2.39/1.76 % (2589322)Peak memory usage: 88 MB
% 2.39/1.76 % (2589322)Instructions burned: 114 (million)
% 2.39/1.76 % (2589323)Instruction limit reached!
% 2.39/1.76 % (2589323)------------------------------
% 2.39/1.76 % (2589323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.39/1.76 % (2589323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/1.76 % (2589323)CaDiCaL version: 2.1.3
% 2.39/1.76 % (2589323)Termination reason: Instruction limit
% 2.39/1.76 % (2589323)Termination phase: Saturation
% 2.39/1.76 % (2589323)Time elapsed: 0.177 s
% 2.39/1.76 % (2589323)Peak memory usage: 89 MB
% 2.39/1.76 % (2589323)Instructions burned: 180 (million)
% 2.39/1.76 % (2589329)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=2448880860:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 2.39/1.76 % (2589329)Instruction limit reached!
% 2.39/1.76 % (2589329)------------------------------
% 2.39/1.76 % (2589329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.39/1.76 % (2589329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.39/1.76 % (2589329)CaDiCaL version: 2.1.3
% 2.39/1.76 % (2589329)Termination reason: Instruction limit
% 2.39/1.76 % (2589329)Termination phase: Saturation
% 2.39/1.76 % (2589329)Time elapsed: 0.074 s
% 2.39/1.76 % (2589329)Peak memory usage: 88 MB
% 2.39/1.76 % (2589329)Instructions burned: 144 (million)
% 2.39/1.76 % (2589333)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3004945202:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2995 on theBenchmark for (2995ds/189Mi)
% 2.39/1.76 % (2589334)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1736141935:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 2.39/1.76 % (2589324)Refutation found. Thanks to Tanya!
% 6.49/2.10 % SZS status Unsatisfiable for theBenchmark
% 6.49/2.10 % SZS output start Proof for theBenchmark
% See solution above
% 6.49/2.10 % (2589324)------------------------------
% 6.49/2.10 % (2589324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.49/2.10 % (2589324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.49/2.10 % (2589324)CaDiCaL version: 2.1.3
% 6.49/2.10 % (2589324)Termination reason: Refutation
% 6.49/2.10 % (2589324)Time elapsed: 0.026 s
% 6.49/2.10 % (2589324)Peak memory usage: 90 MB
% 6.49/2.10 % (2589324)Instructions burned: 23 (million)
% 6.49/2.10 % (2589324)------------------------------
% 6.49/2.10 % (2589324)------------------------------
% 6.49/2.10 % (2589313)Success in time 0.779 s
% 6.49/2.10 % Vampire exiting
%------------------------------------------------------------------------------