%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA004-5 : 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 2.22s 1.83s
% Output : Refutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of formulae : 73 ( 13 unt; 8 def)
% Number of atoms : 174 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 177 ( 76 ~; 93 |; 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(f6,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(f7,axiom,
! [X0] :
( ~ less_or_equal(half(X0),n0)
| less_or_equal(X0,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_and_half) ).
fof(f8,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(f9,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(f10,axiom,
! [X0] :
( ~ less_or_equal(delta_1(X0),n0)
| less_or_equal(X0,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).
fof(f11,axiom,
! [X0] :
( ~ less_or_equal(delta_2(X0),n0)
| less_or_equal(X0,n0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_2) ).
fof(f12,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(f13,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(f14,axiom,
~ less_or_equal(epsilon_0,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_5) ).
fof(f15,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(f16,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(f22,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,[],[f9,f16]) ).
fof(f31,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,f22]) ).
fof(f34,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,[],[f6,f31]) ).
fof(f42,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)))
| less_or_equal(half(epsilon_0),n0) ),
inference(resolution,[],[f34,f13]) ).
fof(f46,definition,
( spl0_1
<=> less_or_equal(half(epsilon_0),n0) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f47,plain,
( less_or_equal(half(epsilon_0),n0)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f49,definition,
( spl0_2
<=> ! [X0] :
( ~ less_or_equal(absolute(add(f(xs(X0)),negate(f(a_real_number)))),half(epsilon_0))
| ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_2(half(epsilon_0)))
| less_or_equal(X0,n0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f50,plain,
( ! [X0] :
( ~ less_or_equal(absolute(add(f(xs(X0)),negate(f(a_real_number)))),half(epsilon_0))
| ~ less_or_equal(absolute(add(xs(X0),negate(a_real_number))),delta_2(half(epsilon_0)))
| less_or_equal(X0,n0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f51,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f42,f49,f46]) ).
fof(f52,plain,
( ! [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(xs(X0),negate(a_real_number))),delta_1(half(epsilon_0)))
| less_or_equal(half(epsilon_0),n0) )
| ~ spl0_2 ),
inference(resolution,[],[f50,f12]) ).
fof(f56,definition,
( spl0_3
<=> ! [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) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f57,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) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f58,plain,
( spl0_1
| spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f52,f49,f56,f46]) ).
fof(f59,plain,
( less_or_equal(epsilon_0,n0)
| ~ spl0_1 ),
inference(resolution,[],[f47,f7]) ).
fof(f60,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f59,f14]) ).
fof(f61,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f60]) ).
fof(f62,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)
| ~ spl0_3 ),
inference(resolution,[],[f57,f15]) ).
fof(f64,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)))) )
| ~ spl0_3 ),
inference(resolution,[],[f57,f8]) ).
fof(f65,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)
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f62]) ).
fof(f67,definition,
( spl0_4
<=> less_or_equal(delta_2(half(epsilon_0)),n0) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f68,plain,
( less_or_equal(delta_2(half(epsilon_0)),n0)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f70,definition,
( spl0_5
<=> 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,[spl0_5])],[avatar_definition]) ).
fof(f71,plain,
( ~ less_or_equal(absolute(add(xs(delta_2(half(epsilon_0))),negate(a_real_number))),delta_1(half(epsilon_0)))
| spl0_5 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f72,plain,
( spl0_4
| ~ spl0_5
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f65,f56,f70,f67]) ).
fof(f73,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))) )
| spl0_5 ),
inference(resolution,[],[f71,f9]) ).
fof(f101,plain,
( ~ less_or_equal(delta_2(half(epsilon_0)),delta_1(half(epsilon_0)))
| less_or_equal(delta_2(half(epsilon_0)),n0)
| spl0_5 ),
inference(resolution,[],[f73,f15]) ).
fof(f115,definition,
( spl0_12
<=> less_or_equal(delta_2(half(epsilon_0)),delta_1(half(epsilon_0))) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f116,plain,
( ~ less_or_equal(delta_2(half(epsilon_0)),delta_1(half(epsilon_0)))
| spl0_12 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f117,plain,
( spl0_4
| ~ spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f101,f70,f115,f67]) ).
fof(f136,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)
| ~ spl0_3 ),
inference(resolution,[],[f64,f15]) ).
fof(f139,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))))
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f136]) ).
fof(f141,definition,
( spl0_15
<=> 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,[spl0_15])],[avatar_definition]) ).
fof(f144,definition,
( spl0_16
<=> less_or_equal(delta_1(half(epsilon_0)),n0) ),
introduced(definition,[new_symbols(definition,[spl0_16])],[avatar_definition]) ).
fof(f145,plain,
( less_or_equal(delta_1(half(epsilon_0)),n0)
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f146,plain,
( spl0_15
| spl0_16
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f139,f56,f144,f141]) ).
fof(f638,plain,
( less_or_equal(half(epsilon_0),n0)
| ~ spl0_4 ),
inference(resolution,[],[f68,f11]) ).
fof(f641,plain,
( spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f638,f67,f46]) ).
fof(f667,plain,
( ! [X0] :
( ~ less_or_equal(X0,delta_1(half(epsilon_0)))
| ~ less_or_equal(delta_2(half(epsilon_0)),X0) )
| spl0_12 ),
inference(resolution,[],[f116,f9]) ).
fof(f3226,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)
| spl0_12 ),
inference(resolution,[],[f667,f15]) ).
fof(f3260,plain,
( spl0_16
| ~ spl0_15
| spl0_12 ),
inference(avatar_split_clause,[],[f3226,f115,f141,f144]) ).
fof(f3375,plain,
( less_or_equal(half(epsilon_0),n0)
| ~ spl0_16 ),
inference(resolution,[],[f145,f10]) ).
fof(f3380,plain,
( spl0_1
| ~ spl0_16 ),
inference(avatar_split_clause,[],[f3375,f144,f46]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f51]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f58]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f61]) ).
cnf(s4,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f72]) ).
cnf(s9,plain,
( spl0_4
| spl0_5
| ~ spl0_12 ),
inference(sat_conversion,[],[f117]) ).
cnf(s11,plain,
( ~ spl0_3
| spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f146]) ).
cnf(s97,plain,
( spl0_1
| ~ spl0_4 ),
inference(sat_conversion,[],[f641]) ).
cnf(s597,plain,
( spl0_12
| ~ spl0_15
| spl0_16 ),
inference(sat_conversion,[],[f3260]) ).
cnf(s618,plain,
( spl0_1
| ~ spl0_16 ),
inference(sat_conversion,[],[f3380]) ).
cnf(s689,plain,
~ spl0_16,
inference(rat,[],[s618,s3]) ).
cnf(s691,plain,
~ spl0_4,
inference(rat,[],[s97,s3]) ).
cnf(s701,plain,
( ~ spl0_2
| spl0_3 ),
inference(rat,[],[s2,s3]) ).
cnf(s702,plain,
spl0_2,
inference(rat,[],[s1,s3]) ).
cnf(s715,plain,
spl0_3,
inference(rat,[],[s701,s702]) ).
cnf(s720,plain,
spl0_15,
inference(rat,[],[s11,s689,s715]) ).
cnf(s721,plain,
~ spl0_5,
inference(rat,[],[s4,s691,s715]) ).
cnf(s722,plain,
spl0_12,
inference(rat,[],[s597,s689,s720]) ).
cnf(s730,plain,
$false,
inference(rat,[],[s9,s691,s722,s721]) ).
fof(f3381,plain,
$false,
inference(avatar_sat_refutation,[],[s730]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ANA004-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 % Computer : n008.cluster.edu
% 0.10/0.26 % Model : x86_64 x86_64
% 0.10/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26 % Memory : 8046.5625MB
% 0.10/0.26 % OS : Linux 6.8.0-71-generic
% 0.10/0.26 % CPULimit : 300
% 0.10/0.26 % WCLimit : 300
% 0.10/0.26 % DateTime : Mon Sep 28 20:26:54 UTC 2026
% 0.10/0.26 % CPUTime :
% 0.10/0.26 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.32 Running first-order theorem proving
% 0.26/0.32 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
% 2.22/1.83 % (2589736)Input is clausal, will run a generic CNF schedule.
% 2.22/1.83 % (2589743)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=270461778:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.22/1.83 % (2589741)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=423745690:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.22/1.83 % (2589742)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=73240742:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.22/1.83 % (2589744)lrs+10_1_sil=8000:sp=occurrence:random_seed=2890067301:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.22/1.83 % (2589745)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4275659564:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.22/1.83 % (2589746)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2416206171:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.22/1.83 % (2589747)dis-21_1_sil=8000:lcm=predicate:random_seed=1971477626: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)
% 2.22/1.83 % (2589745)Instruction limit reached!
% 2.22/1.83 % (2589745)------------------------------
% 2.22/1.83 % (2589745)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.22/1.83 % (2589745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/1.83 % (2589745)CaDiCaL version: 2.1.3
% 2.22/1.83 % (2589745)Termination reason: Instruction limit
% 2.22/1.83 % (2589745)Termination phase: Saturation
% 2.22/1.83 % (2589745)Time elapsed: 0.081 s
% 2.22/1.83 % (2589745)Peak memory usage: 87 MB
% 2.22/1.83 % (2589745)Instructions burned: 115 (million)
% 2.22/1.83 % (2589747)First to succeed.
% 2.22/1.83 % (2589744)Instruction limit reached!
% 2.22/1.83 % (2589744)------------------------------
% 2.22/1.83 % (2589744)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.22/1.83 % (2589744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/1.83 % (2589744)CaDiCaL version: 2.1.3
% 2.22/1.83 % (2589744)Termination reason: Instruction limit
% 2.22/1.83 % (2589744)Termination phase: Saturation
% 2.22/1.83 % (2589744)Time elapsed: 0.097 s
% 2.22/1.83 % (2589744)Peak memory usage: 87 MB
% 2.22/1.83 % (2589744)Instructions burned: 108 (million)
% 2.22/1.83 % (2589747)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2589736"
% 2.22/1.83 % (2589746)Instruction limit reached!
% 2.22/1.83 % (2589746)------------------------------
% 2.22/1.83 % (2589746)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.22/1.83 % (2589746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.22/1.83 % (2589746)CaDiCaL version: 2.1.3
% 2.22/1.83 % (2589746)Termination reason: Instruction limit
% 2.22/1.83 % (2589746)Termination phase: Saturation
% 2.22/1.83 % (2589746)Time elapsed: 0.174 s
% 2.22/1.83 % (2589746)Peak memory usage: 89 MB
% 2.22/1.83 % (2589746)Instructions burned: 181 (million)
% 2.22/1.83 % (2589755)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=2986856887:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 2.22/1.83 % (2589756)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3784975320:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 2.22/1.83 % (2589757)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3740385836:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 2.22/1.83 % (2589747)Refutation found. Thanks to Tanya!
% 2.22/1.83 % SZS status Unsatisfiable for theBenchmark
% 2.22/1.83 % SZS output start Proof for theBenchmark
% See solution above
% 0.30/2.22 % (2589747)------------------------------
% 0.30/2.22 % (2589747)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.30/2.22 % (2589747)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.30/2.22 % (2589747)CaDiCaL version: 2.1.3
% 0.30/2.22 % (2589747)Termination reason: Refutation
% 0.30/2.22 % (2589747)Time elapsed: 0.084 s
% 0.30/2.22 % (2589747)Peak memory usage: 90 MB
% 0.30/2.22 % (2589747)Instructions burned: 88 (million)
% 0.30/2.22 % (2589747)------------------------------
% 0.30/2.22 % (2589747)------------------------------
% 0.30/2.22 % (2589736)Success in time 0.791 s
% 0.30/2.22 % Vampire exiting
%------------------------------------------------------------------------------