%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO523_1 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 02:27:07 PM UTC 2026
% Result : Theorem 6.22s 1.91s
% Output : Refutation 6.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 62 ( 28 unt; 0 typ; 15 def)
% Number of atoms : 152 ( 44 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 135 ( 45 ~; 36 |; 34 &)
% ( 12 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number arithmetic : 206 ( 60 atm; 0 fun; 128 num; 18 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 16 ( 12 usr; 13 prp; 0-2 aty)
% Number of functors : 9 ( 4 usr; 8 con; 0-1 aty)
% Number of variables : 18 ( 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
f: $int > $int ).
tff(func_def_10,type,
sF0: $int ).
tff(func_def_11,type,
sF1: $int ).
tff(func_def_12,type,
sF2: $int ).
tff(f1,conjecture,
( ( $less(6,f(3))
& ! [X1: $int,X0: $int] :
( ( f(X0) = f(X1) )
=> ( X0 = X1 ) )
& $less(f(4),9)
& $less(f(3),9)
& $less(6,f(4)) )
=> ( $lesseq(f(5),6)
| $lesseq(9,f(5)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',injective_f_pigeonhole) ).
tff(f2,negated_conjecture,
~ ( ( $less(6,f(3))
& ! [X1: $int,X0: $int] :
( ( f(X0) = f(X1) )
=> ( X0 = X1 ) )
& $less(f(4),9)
& $less(f(3),9)
& $less(6,f(4)) )
=> ( $lesseq(f(5),6)
| $lesseq(9,f(5)) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,plain,
~ ( ( $less(6,f(3))
& ! [X1: $int,X0: $int] :
( ( f(X0) = f(X1) )
=> ( X0 = X1 ) )
& $less(f(4),9)
& $less(f(3),9)
& $less(6,f(4)) )
=> ( ~ $less(6,f(5))
| ~ $less(f(5),9) ) ),
inference(theory_normalization,[],[f2]) ).
tff(f16,plain,
~ ( ( ! [X1: $int,X0: $int] :
( ( f(X0) = f(X1) )
=> ( X0 = X1 ) )
& $less(f(4),9)
& $less(6,f(3))
& $less(6,f(4))
& $less(f(3),9) )
=> ( ~ $less(6,f(5))
| ~ $less(f(5),9) ) ),
inference(rectify,[],[f3]) ).
tff(f17,plain,
( $less(6,f(5))
& $less(f(5),9)
& ! [X1: $int,X0: $int] :
( ( f(X0) != f(X1) )
| ( X0 = X1 ) )
& $less(f(4),9)
& $less(6,f(3))
& $less(6,f(4))
& $less(f(3),9) ),
inference(ennf_transformation,[],[f16]) ).
tff(f18,plain,
( $less(6,f(4))
& $less(f(5),9)
& $less(f(4),9)
& $less(6,f(5))
& $less(f(3),9)
& $less(6,f(3))
& ! [X1: $int,X0: $int] :
( ( f(X0) != f(X1) )
| ( X0 = X1 ) ) ),
inference(flattening,[],[f17]) ).
tff(f19,plain,
( $less(6,f(4))
& $less(f(5),9)
& $less(f(4),9)
& $less(6,f(5))
& $less(f(3),9)
& $less(6,f(3))
& ! [X0: $int,X1: $int] :
( ( f(X0) != f(X1) )
| ( X0 = X1 ) ) ),
inference(rectify,[],[f18]) ).
tff(f20,plain,
! [X0: $int,X1: $int] :
( ( f(X0) != f(X1) )
| ( X0 = X1 ) ),
inference(cnf_transformation,[],[f19]) ).
tff(f21,plain,
$less(6,f(3)),
inference(cnf_transformation,[],[f19]) ).
tff(f22,plain,
$less(f(3),9),
inference(cnf_transformation,[],[f19]) ).
tff(f23,plain,
$less(6,f(5)),
inference(cnf_transformation,[],[f19]) ).
tff(f24,plain,
$less(f(4),9),
inference(cnf_transformation,[],[f19]) ).
tff(f25,plain,
$less(f(5),9),
inference(cnf_transformation,[],[f19]) ).
tff(f26,plain,
$less(6,f(4)),
inference(cnf_transformation,[],[f19]) ).
tff(f27,definition,
sF0 = f(4),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
tff(f28,plain,
f(4) = sF0,
inference(reorient_equations,[],[f27]) ).
tff(f29,plain,
$less(6,sF0),
inference(definition_folding,[],[f26,f28]) ).
tff(f30,definition,
sF1 = f(5),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
tff(f31,plain,
f(5) = sF1,
inference(reorient_equations,[],[f30]) ).
tff(f32,plain,
$less(sF1,9),
inference(definition_folding,[],[f25,f31]) ).
tff(f33,plain,
$less(sF0,9),
inference(definition_folding,[],[f24,f28]) ).
tff(f34,plain,
$less(6,sF1),
inference(definition_folding,[],[f23,f31]) ).
tff(f35,definition,
sF2 = f(3),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
tff(f36,plain,
f(3) = sF2,
inference(reorient_equations,[],[f35]) ).
tff(f37,plain,
$less(sF2,9),
inference(definition_folding,[],[f22,f36]) ).
tff(f38,plain,
$less(6,sF2),
inference(definition_folding,[],[f21,f36]) ).
tff(f40,definition,
( spl3_1
<=> ( f(4) = sF0 ) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
tff(f42,plain,
( ( f(4) = sF0 )
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f40]) ).
tff(f43,plain,
spl3_1,
inference(avatar_split_clause,[],[f28,f40]) ).
tff(f45,definition,
( spl3_2
<=> ( f(5) = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
tff(f47,plain,
( ( f(5) = sF1 )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f45]) ).
tff(f48,plain,
spl3_2,
inference(avatar_split_clause,[],[f31,f45]) ).
tff(f50,definition,
( spl3_3
<=> $less(6,sF2) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
tff(f53,plain,
spl3_3,
inference(avatar_split_clause,[],[f38,f50]) ).
tff(f55,definition,
( spl3_4
<=> $less(sF1,9) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
tff(f58,plain,
spl3_4,
inference(avatar_split_clause,[],[f32,f55]) ).
tff(f60,definition,
( spl3_5
<=> $less(sF0,9) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
tff(f63,plain,
spl3_5,
inference(avatar_split_clause,[],[f33,f60]) ).
tff(f65,definition,
( spl3_6
<=> ( f(3) = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
tff(f67,plain,
( ( f(3) = sF2 )
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f65]) ).
tff(f68,plain,
spl3_6,
inference(avatar_split_clause,[],[f36,f65]) ).
tff(f70,definition,
( spl3_7
<=> $less(sF2,9) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
tff(f73,plain,
spl3_7,
inference(avatar_split_clause,[],[f37,f70]) ).
tff(f75,definition,
( spl3_8
<=> $less(6,sF0) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
tff(f78,plain,
spl3_8,
inference(avatar_split_clause,[],[f29,f75]) ).
tff(f80,definition,
( spl3_9
<=> $less(6,sF1) ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
tff(f83,plain,
spl3_9,
inference(avatar_split_clause,[],[f34,f80]) ).
tff(f85,plain,
( ! [X0: $int] :
( ( f(X0) != sF0 )
| ( 4 = X0 ) )
| ~ spl3_1 ),
inference(superposition,[],[f20,f42]) ).
tff(f87,plain,
( ! [X0: $int] :
( ( f(X0) != sF1 )
| ( 5 = X0 ) )
| ~ spl3_2 ),
inference(superposition,[],[f20,f47]) ).
tff(f89,plain,
( ( 4 = 5 )
| ( sF0 != sF1 )
| ~ spl3_1
| ~ spl3_2 ),
inference(superposition,[],[f85,f47]) ).
tff(f90,plain,
( ( sF0 != sF1 )
| ~ spl3_1
| ~ spl3_2 ),
inference(evaluation,[],[f89]) ).
tff(f92,definition,
( spl3_10
<=> ( sF0 = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl3_10])],[avatar_definition]) ).
tff(f95,plain,
( ~ spl3_10
| ~ spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f90,f45,f40,f92]) ).
tff(f96,plain,
( ( sF0 != sF2 )
| ( 3 = 4 )
| ~ spl3_1
| ~ spl3_6 ),
inference(superposition,[],[f85,f67]) ).
tff(f99,plain,
( ( sF0 != sF2 )
| ~ spl3_1
| ~ spl3_6 ),
inference(evaluation,[],[f96]) ).
tff(f101,definition,
( spl3_11
<=> ( sF0 = sF2 ) ),
introduced(definition,[new_symbols(definition,[spl3_11])],[avatar_definition]) ).
tff(f104,plain,
( ~ spl3_11
| ~ spl3_1
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f99,f65,f40,f101]) ).
tff(f106,plain,
( ( 3 = 5 )
| ( sF2 != sF1 )
| ~ spl3_2
| ~ spl3_6 ),
inference(superposition,[],[f87,f67]) ).
tff(f107,plain,
( ( sF2 != sF1 )
| ~ spl3_2
| ~ spl3_6 ),
inference(evaluation,[],[f106]) ).
tff(f110,definition,
( spl3_12
<=> ( sF2 = sF1 ) ),
introduced(definition,[new_symbols(definition,[spl3_12])],[avatar_definition]) ).
tff(f113,plain,
( ~ spl3_12
| ~ spl3_2
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f107,f65,f45,f110]) ).
tff(f114,plain,
$false,
inference(avatar_smt_refutation,[],[f113,f104,f95,f83,f78,f73,f68,f63,f58,f53,f48,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO523_1 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.24 % Computer : n006.cluster.edu
% 0.11/0.24 % Model : x86_64 x86_64
% 0.11/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.24 % Memory : 8046.5625MB
% 0.11/0.24 % OS : Linux 6.8.0-71-generic
% 0.11/0.24 % CPULimit : 300
% 0.11/0.24 % WCLimit : 300
% 0.11/0.24 % DateTime : Mon Sep 28 17:46:55 UTC 2026
% 0.11/0.24 % CPUTime :
% 0.11/0.24 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.28/0.30 Running first-order theorem proving
% 0.28/0.30 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
% 4.46/1.68 % (4193512)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 4.46/1.68 % (4193519)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2085695948:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 4.46/1.68 % (4193520)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3889330829:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 4.46/1.68 % (4193520)Instruction limit reached!
% 4.46/1.68 % (4193520)------------------------------
% 4.46/1.68 % (4193520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.68 % (4193520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.68 % (4193520)CaDiCaL version: 2.1.3
% 4.46/1.68 % (4193520)Termination reason: Instruction limit
% 4.46/1.68 % (4193520)Termination phase: Saturation
% 4.46/1.68 % (4193520)Time elapsed: 0.008 s
% 4.46/1.68 % (4193520)Peak memory usage: 88 MB
% 4.46/1.68 % (4193520)Instructions burned: 7 (million)
% 4.46/1.68 % (4193518)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=4053084507:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 4.46/1.68 % (4193521)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=2092762515:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 4.46/1.68 % (4193522)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=4272577023:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 4.46/1.68 % (4193517)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3100470598:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 4.46/1.68 % (4193523)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=444800508:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 4.46/1.68 % (4193521)Instruction limit reached!
% 4.46/1.68 % (4193521)------------------------------
% 4.46/1.68 % (4193521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.68 % (4193521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.68 % (4193521)CaDiCaL version: 2.1.3
% 4.46/1.68 % (4193521)Termination reason: Instruction limit
% 4.46/1.68 % (4193521)Termination phase: Saturation
% 4.46/1.68 % (4193521)Time elapsed: 0.005 s
% 4.46/1.68 % (4193521)Peak memory usage: 88 MB
% 4.46/1.68 % (4193521)Instructions burned: 4 (million)
% 4.46/1.68 % (4193522)Refutation not found, incomplete strategy
% 4.46/1.68 % (4193522)------------------------------
% 4.46/1.68 % (4193522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.68 % (4193522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.68 % (4193522)CaDiCaL version: 2.1.3
% 4.46/1.68 % (4193522)Termination reason: Refutation not found, incomplete strategy
% 4.46/1.68 % (4193522)Time elapsed: 0.041 s
% 4.46/1.68 % (4193522)Peak memory usage: 115 MB
% 4.46/1.68 % (4193522)Instructions burned: 7 (million)
% 4.46/1.68 % (4193517)Instruction limit reached!
% 4.46/1.68 % (4193517)------------------------------
% 4.46/1.68 % (4193517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.68 % (4193517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.68 % (4193517)CaDiCaL version: 2.1.3
% 4.46/1.68 % (4193517)Termination reason: Instruction limit
% 4.46/1.68 % (4193517)Termination phase: Saturation
% 4.46/1.68 % (4193517)Time elapsed: 0.044 s
% 4.46/1.68 % (4193517)Peak memory usage: 115 MB
% 4.46/1.68 % (4193517)Instructions burned: 12 (million)
% 4.46/1.68 % (4193518)Refutation not found, incomplete strategy
% 4.46/1.68 % (4193518)------------------------------
% 4.46/1.68 % (4193518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.68 % (4193518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.68 % (4193518)CaDiCaL version: 2.1.3
% 4.46/1.68 % (4193518)Termination reason: Refutation not found, incomplete strategy
% 4.46/1.68 % (4193518)Time elapsed: 0.045 s
% 4.46/1.68 % (4193518)Peak memory usage: 115 MB
% 4.46/1.68 % (4193518)Instructions burned: 10 (million)
% 4.46/1.68 % (4193523)First to succeed.
% 4.46/1.68 % (4193523)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4193512"
% 4.46/1.68 % (4193519)Instruction limit reached!
% 4.46/1.68 % (4193519)------------------------------
% 4.46/1.68 % (4193519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.91 % (4193519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.91 % (4193519)CaDiCaL version: 2.1.3
% 6.22/1.91 % (4193519)Termination reason: Instruction limit
% 6.22/1.91 % (4193519)Termination phase: Saturation
% 6.22/1.91 % (4193519)Time elapsed: 0.152 s
% 6.22/1.91 % (4193519)Peak memory usage: 117 MB
% 6.22/1.91 % (4193519)Instructions burned: 202 (million)
% 6.22/1.91 % (4193528)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=4040836697:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 6.22/1.91 % (4193528)Refutation not found, incomplete strategy
% 6.22/1.91 % (4193528)------------------------------
% 6.22/1.91 % (4193528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.91 % (4193528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.91 % (4193528)CaDiCaL version: 2.1.3
% 6.22/1.91 % (4193528)Termination reason: Refutation not found, incomplete strategy
% 6.22/1.91 % (4193528)Time elapsed: 0.002 s
% 6.22/1.91 % (4193528)Peak memory usage: 88 MB
% 6.22/1.91 % (4193535)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=3414870043:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/16Mi)
% 6.22/1.91 % (4193535)Instruction limit reached!
% 6.22/1.91 % (4193535)------------------------------
% 6.22/1.91 % (4193535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.91 % (4193535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.91 % (4193535)CaDiCaL version: 2.1.3
% 6.22/1.91 % (4193535)Termination reason: Instruction limit
% 6.22/1.91 % (4193535)Termination phase: Saturation
% 6.22/1.91 % (4193535)Time elapsed: 0.010 s
% 6.22/1.91 % (4193535)Peak memory usage: 90 MB
% 6.22/1.91 % (4193535)Instructions burned: 16 (million)
% 6.22/1.91 % (4193534)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=4217603546:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2997 on theBenchmark for (2997ds/29Mi)
% 6.22/1.91 % (4193534)Instruction limit reached!
% 6.22/1.91 % (4193534)------------------------------
% 6.22/1.91 % (4193534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.91 % (4193534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.91 % (4193534)CaDiCaL version: 2.1.3
% 6.22/1.91 % (4193534)Termination reason: Instruction limit
% 6.22/1.91 % (4193534)Termination phase: Saturation
% 6.22/1.91 % (4193534)Time elapsed: 0.031 s
% 6.22/1.91 % (4193534)Peak memory usage: 88 MB
% 6.22/1.91 % (4193534)Instructions burned: 30 (million)
% 6.22/1.91 % (4193536)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=3845259162:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 6.22/1.91 % (4193536)Instruction limit reached!
% 6.22/1.91 % (4193536)------------------------------
% 6.22/1.91 % (4193536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.91 % (4193536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.91 % (4193536)CaDiCaL version: 2.1.3
% 6.22/1.91 % (4193536)Termination reason: Instruction limit
% 6.22/1.91 % (4193536)Termination phase: Saturation
% 6.22/1.91 % (4193536)Time elapsed: 0.028 s
% 6.22/1.91 % (4193536)Peak memory usage: 89 MB
% 6.22/1.91 % (4193536)Instructions burned: 24 (million)
% 6.22/1.91 % (4193522)------------------------------
% 6.22/1.91 % (4193522)------------------------------
% 6.22/1.91 % (4193518)------------------------------
% 6.22/1.91 % (4193518)------------------------------
% 6.22/1.91 % (4193539)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=1198088520:i=27:canc=cautious:fsr=off:rtra=on_2995 on theBenchmark for (2995ds/27Mi)
% 6.22/1.91 % (4193523)Refutation found. Thanks to Tanya!
% 6.22/1.91 % SZS status Theorem for theBenchmark
% 6.22/1.91 % SZS output start Proof for theBenchmark
% See solution above
% 6.22/1.91 % (4193523)------------------------------
% 6.22/1.91 % (4193523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.22/1.91 % (4193523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.22/1.91 % (4193523)CaDiCaL version: 2.1.3
% 6.22/1.91 % (4193523)Termination reason: Refutation
% 6.22/1.91 % (4193523)Time elapsed: 0.055 s
% 6.22/1.91 % (4193523)Peak memory usage: 116 MB
% 6.22/1.91 % (4193523)Instructions burned: 16 (million)
% 6.22/1.91 % (4193523)------------------------------
% 6.22/1.91 % (4193523)------------------------------
% 6.22/1.91 % (4193512)Success in time 0.748 s
% 6.22/1.91 % Vampire exiting
%------------------------------------------------------------------------------