%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SYO500_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 02:27:04 PM UTC 2026
% Result : Theorem 1.71s 0.58s
% Output : Refutation 2.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of formulae : 133 ( 14 unt; 0 typ; 14 def)
% Number of atoms : 488 ( 44 equ)
% Maximal formula atoms : 5 ( 3 avg)
% Number of connectives : 357 ( 148 ~; 188 |; 5 &)
% ( 15 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 150 ( 146 fml; 4 var)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 19 ( 16 usr; 17 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
bG0: $o ).
tff(func_def_3,type,
bG1: $o ).
tff(func_def_4,type,
bG2: $o ).
tff(func_def_5,type,
bG3: $o ).
tff(pred_def_1,type,
f: $o > $o ).
tff(f1,conjecture,
f(f(f(x))) = f(x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
tff(f2,negated_conjecture,
f(f(f(x))) != f(x),
inference(negated_conjecture,[status(cth)],[f1]) ).
tff(f3,definition,
( x
<=> ( bG0 = $true ) ),
introduced(definition,[new_symbols(definition,[bG0])],[fool_formula_definition]) ).
tff(f4,definition,
( f(bG0)
<=> ( $true = bG1 ) ),
introduced(definition,[new_symbols(definition,[bG1])],[fool_formula_definition]) ).
tff(f5,definition,
( f(bG1)
<=> ( $true = bG2 ) ),
introduced(definition,[new_symbols(definition,[bG2])],[fool_formula_definition]) ).
tff(f6,definition,
( x
<=> ( $true = bG3 ) ),
introduced(definition,[new_symbols(definition,[bG3])],[fool_formula_definition]) ).
tff(f7,plain,
~ ( f(bG2)
<=> f(bG3) ),
inference(fool_elimination,[],[f2,f6,f5,f4,f3]) ).
tff(f8,plain,
( f(bG2)
<~> f(bG3) ),
inference(ennf_transformation,[],[f7]) ).
tff(f9,plain,
( ( x
| ( $true != bG3 ) )
& ( ( $true = bG3 )
| ~ x ) ),
inference(nnf_transformation,[],[f6]) ).
tff(f10,plain,
( ( f(bG1)
| ( $true != bG2 ) )
& ( ( $true = bG2 )
| ~ f(bG1) ) ),
inference(nnf_transformation,[],[f5]) ).
tff(f11,plain,
( ( f(bG0)
| ( $true != bG1 ) )
& ( ( $true = bG1 )
| ~ f(bG0) ) ),
inference(nnf_transformation,[],[f4]) ).
tff(f12,plain,
( ( x
| ( bG0 != $true ) )
& ( ( bG0 = $true )
| ~ x ) ),
inference(nnf_transformation,[],[f3]) ).
tff(f13,plain,
( ( ~ f(bG3)
| ~ f(bG2) )
& ( f(bG3)
| f(bG2) ) ),
inference(nnf_transformation,[],[f8]) ).
tff(f14,plain,
( ( $true = bG3 )
| ~ x ),
inference(cnf_transformation,[],[f9]) ).
tff(f15,plain,
( x
| ( $true != bG3 ) ),
inference(cnf_transformation,[],[f9]) ).
tff(f16,plain,
( ( $true = bG2 )
| ~ f(bG1) ),
inference(cnf_transformation,[],[f10]) ).
tff(f17,plain,
( f(bG1)
| ( $true != bG2 ) ),
inference(cnf_transformation,[],[f10]) ).
tff(f18,plain,
( ( $true = bG1 )
| ~ f(bG0) ),
inference(cnf_transformation,[],[f11]) ).
tff(f19,plain,
( f(bG0)
| ( $true != bG1 ) ),
inference(cnf_transformation,[],[f11]) ).
tff(f20,plain,
( ( bG0 = $true )
| ~ x ),
inference(cnf_transformation,[],[f12]) ).
tff(f21,plain,
( x
| ( bG0 != $true ) ),
inference(cnf_transformation,[],[f12]) ).
tff(f22,plain,
( f(bG3)
| f(bG2) ),
inference(cnf_transformation,[],[f13]) ).
tff(f23,plain,
( ~ f(bG3)
| ~ f(bG2) ),
inference(cnf_transformation,[],[f13]) ).
tff(f25,plain,
! [X0: $o] :
( ( $false = (X0) )
| ( $true = (X0) ) ),
introduced(definition,[],[fool_exhaustiveness_axiom]) ).
tff(f27,definition,
( spl4_1
<=> f(bG2) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
tff(f28,plain,
( ~ f(bG2)
| spl4_1 ),
inference(avatar_component_clause,[],[f27]) ).
tff(f29,plain,
( f(bG2)
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f27]) ).
tff(f31,definition,
( spl4_2
<=> f(bG3) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
tff(f32,plain,
( ~ f(bG3)
| spl4_2 ),
inference(avatar_component_clause,[],[f31]) ).
tff(f33,plain,
( f(bG3)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f31]) ).
tff(f34,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f22,f31,f27]) ).
tff(f35,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(avatar_split_clause,[],[f23,f31,f27]) ).
tff(f37,definition,
( spl4_3
<=> x ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
tff(f41,definition,
( spl4_4
<=> ( bG0 = $true ) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
tff(f42,plain,
( ( bG0 != $true )
| spl4_4 ),
inference(avatar_component_clause,[],[f41]) ).
tff(f43,plain,
( ( bG0 = $true )
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f41]) ).
tff(f44,plain,
( ~ spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f20,f41,f37]) ).
tff(f45,plain,
( ~ spl4_4
| spl4_3 ),
inference(avatar_split_clause,[],[f21,f37,f41]) ).
tff(f47,definition,
( spl4_5
<=> f(bG0) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
tff(f48,plain,
( f(bG0)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f47]) ).
tff(f49,plain,
( ~ f(bG0)
| spl4_5 ),
inference(avatar_component_clause,[],[f47]) ).
tff(f51,definition,
( spl4_6
<=> ( $true = bG1 ) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
tff(f53,plain,
( ( $true = bG1 )
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f51]) ).
tff(f54,plain,
( ~ spl4_5
| spl4_6 ),
inference(avatar_split_clause,[],[f18,f51,f47]) ).
tff(f55,plain,
( ~ spl4_6
| spl4_5 ),
inference(avatar_split_clause,[],[f19,f47,f51]) ).
tff(f57,definition,
( spl4_7
<=> f(bG1) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
tff(f58,plain,
( f(bG1)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f57]) ).
tff(f59,plain,
( ~ f(bG1)
| spl4_7 ),
inference(avatar_component_clause,[],[f57]) ).
tff(f61,definition,
( spl4_8
<=> ( $true = bG2 ) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
tff(f63,plain,
( ( $true = bG2 )
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f61]) ).
tff(f64,plain,
( ~ spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f16,f61,f57]) ).
tff(f65,plain,
( ~ spl4_8
| spl4_7 ),
inference(avatar_split_clause,[],[f17,f57,f61]) ).
tff(f67,definition,
( spl4_9
<=> ( $true = bG3 ) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
tff(f68,plain,
( ( $true != bG3 )
| spl4_9 ),
inference(avatar_component_clause,[],[f67]) ).
tff(f69,plain,
( ( $true = bG3 )
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f67]) ).
tff(f70,plain,
( ~ spl4_3
| spl4_9 ),
inference(avatar_split_clause,[],[f14,f67,f37]) ).
tff(f71,plain,
( ~ spl4_9
| spl4_3 ),
inference(avatar_split_clause,[],[f15,f37,f67]) ).
tff(f78,plain,
( ~ f($false)
| ( $true = bG2 )
| spl4_1 ),
inference(superposition,[],[f28,f25]) ).
tff(f80,plain,
( f($false)
| ( $true = bG3 )
| ~ spl4_2 ),
inference(superposition,[],[f33,f25]) ).
tff(f82,plain,
( f($false)
| ~ spl4_2
| spl4_9 ),
inference(forward_subsumption_resolution,[],[f80,f68]) ).
tff(f86,plain,
( ! [X0: $o] :
( f((X0))
| ( $true = (X0) ) )
| ~ spl4_2
| spl4_9 ),
inference(superposition,[],[f82,f25]) ).
tff(f89,plain,
( ( $true = bG2 )
| spl4_1
| ~ spl4_2
| spl4_9 ),
inference(forward_subsumption_resolution,[],[f78,f82]) ).
tff(f90,plain,
( spl4_8
| spl4_1
| ~ spl4_2
| spl4_9 ),
inference(avatar_split_clause,[],[f89,f67,f31,f27,f61]) ).
tff(f91,plain,
( f($false)
| ( $true = bG1 )
| ~ spl4_7 ),
inference(superposition,[],[f58,f25]) ).
tff(f93,plain,
( ( bG0 = $true )
| ~ spl4_2
| spl4_5
| spl4_9 ),
inference(resolution,[],[f86,f49]) ).
tff(f94,plain,
( $false
| ~ spl4_2
| spl4_4
| spl4_5
| spl4_9 ),
inference(forward_subsumption_resolution,[],[f93,f42]) ).
tff(f95,plain,
( ~ spl4_2
| spl4_4
| spl4_5
| spl4_9 ),
inference(avatar_contradiction_clause,[],[f94]) ).
tff(f97,plain,
( f($false)
| ( $true = bG2 )
| ~ spl4_1 ),
inference(superposition,[],[f29,f25]) ).
tff(f99,definition,
( spl4_10
<=> f($false) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
tff(f102,plain,
( spl4_8
| spl4_10
| ~ spl4_1 ),
inference(avatar_split_clause,[],[f97,f27,f99,f61]) ).
tff(f103,plain,
( ~ f($false)
| ( $true = bG3 )
| spl4_2 ),
inference(superposition,[],[f32,f25]) ).
tff(f104,plain,
( ~ f($false)
| spl4_2
| spl4_9 ),
inference(forward_subsumption_resolution,[],[f103,f68]) ).
tff(f105,plain,
( ~ spl4_10
| spl4_2
| spl4_9 ),
inference(avatar_split_clause,[],[f104,f67,f31,f99]) ).
tff(f115,plain,
( ~ f($true)
| spl4_1
| ~ spl4_8 ),
inference(forward_demodulation,[],[f28,f63]) ).
tff(f121,plain,
( spl4_6
| spl4_10
| ~ spl4_7 ),
inference(avatar_split_clause,[],[f91,f57,f99,f51]) ).
tff(f124,plain,
( f($false)
| ( bG0 = $true )
| ~ spl4_5 ),
inference(superposition,[],[f48,f25]) ).
tff(f125,plain,
( f($false)
| spl4_4
| ~ spl4_5 ),
inference(forward_subsumption_resolution,[],[f124,f42]) ).
tff(f126,plain,
( spl4_10
| spl4_4
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f125,f47,f41,f99]) ).
tff(f129,plain,
( f($true)
| ~ spl4_6
| ~ spl4_7 ),
inference(superposition,[],[f58,f53]) ).
tff(f131,plain,
( $false
| spl4_1
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f129,f115]) ).
tff(f132,plain,
( spl4_1
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8 ),
inference(avatar_contradiction_clause,[],[f131]) ).
tff(f133,plain,
( f($true)
| ~ spl4_1
| ~ spl4_8 ),
inference(forward_demodulation,[],[f29,f63]) ).
tff(f137,plain,
( ~ f($true)
| spl4_2
| ~ spl4_9 ),
inference(superposition,[],[f32,f69]) ).
tff(f139,plain,
( $false
| ~ spl4_1
| spl4_2
| ~ spl4_8
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f137,f133]) ).
tff(f140,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_8
| ~ spl4_9 ),
inference(avatar_contradiction_clause,[],[f139]) ).
tff(f141,plain,
( ~ f($true)
| ~ spl4_6
| spl4_7 ),
inference(forward_demodulation,[],[f59,f53]) ).
tff(f147,plain,
( f($true)
| ~ spl4_4
| ~ spl4_5 ),
inference(superposition,[],[f48,f43]) ).
tff(f149,plain,
( $false
| ~ spl4_4
| ~ spl4_5
| ~ spl4_6
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f147,f141]) ).
tff(f150,plain,
( ~ spl4_4
| ~ spl4_5
| ~ spl4_6
| spl4_7 ),
inference(avatar_contradiction_clause,[],[f149]) ).
tff(f151,plain,
( ~ f($true)
| ~ spl4_4
| spl4_5 ),
inference(forward_demodulation,[],[f49,f43]) ).
tff(f154,plain,
( f($true)
| ~ spl4_2
| ~ spl4_9 ),
inference(forward_demodulation,[],[f33,f69]) ).
tff(f160,plain,
( $false
| spl4_1
| ~ spl4_2
| ~ spl4_8
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f154,f115]) ).
tff(f161,plain,
( spl4_1
| ~ spl4_2
| ~ spl4_8
| ~ spl4_9 ),
inference(avatar_contradiction_clause,[],[f160]) ).
tff(f164,plain,
( ~ f($false)
| ( $true = bG1 )
| spl4_7 ),
inference(superposition,[],[f59,f25]) ).
tff(f165,plain,
( spl4_6
| ~ spl4_10
| spl4_7 ),
inference(avatar_split_clause,[],[f164,f57,f99,f51]) ).
tff(f167,plain,
( $false
| ~ spl4_2
| ~ spl4_4
| spl4_5
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f151,f154]) ).
tff(f168,plain,
( ~ spl4_2
| ~ spl4_4
| spl4_5
| ~ spl4_9 ),
inference(avatar_contradiction_clause,[],[f167]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f34]) ).
cnf(s2,plain,
( ~ spl4_1
| ~ spl4_2 ),
inference(sat_conversion,[],[f35]) ).
cnf(s3,plain,
( ~ spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f44]) ).
cnf(s4,plain,
( spl4_3
| ~ spl4_4 ),
inference(sat_conversion,[],[f45]) ).
cnf(s5,plain,
( ~ spl4_5
| spl4_6 ),
inference(sat_conversion,[],[f54]) ).
cnf(s6,plain,
( spl4_5
| ~ spl4_6 ),
inference(sat_conversion,[],[f55]) ).
cnf(s7,plain,
( ~ spl4_7
| spl4_8 ),
inference(sat_conversion,[],[f64]) ).
cnf(s8,plain,
( spl4_7
| ~ spl4_8 ),
inference(sat_conversion,[],[f65]) ).
cnf(s9,plain,
( ~ spl4_3
| spl4_9 ),
inference(sat_conversion,[],[f70]) ).
cnf(s10,plain,
( spl4_3
| ~ spl4_9 ),
inference(sat_conversion,[],[f71]) ).
cnf(s12,plain,
( spl4_1
| ~ spl4_2
| spl4_8
| spl4_9 ),
inference(sat_conversion,[],[f90]) ).
cnf(s13,plain,
( ~ spl4_2
| spl4_4
| spl4_5
| spl4_9 ),
inference(sat_conversion,[],[f95]) ).
cnf(s15,plain,
( ~ spl4_1
| spl4_8
| spl4_10 ),
inference(sat_conversion,[],[f102]) ).
cnf(s16,plain,
( spl4_2
| spl4_9
| ~ spl4_10 ),
inference(sat_conversion,[],[f105]) ).
cnf(s22,plain,
( spl4_6
| ~ spl4_7
| spl4_10 ),
inference(sat_conversion,[],[f121]) ).
cnf(s24,plain,
( spl4_4
| ~ spl4_5
| spl4_10 ),
inference(sat_conversion,[],[f126]) ).
cnf(s25,plain,
( spl4_1
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8 ),
inference(sat_conversion,[],[f132]) ).
cnf(s27,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_8
| ~ spl4_9 ),
inference(sat_conversion,[],[f140]) ).
cnf(s28,plain,
( ~ spl4_4
| ~ spl4_5
| ~ spl4_6
| spl4_7 ),
inference(sat_conversion,[],[f150]) ).
cnf(s32,plain,
( spl4_1
| ~ spl4_2
| ~ spl4_8
| ~ spl4_9 ),
inference(sat_conversion,[],[f161]) ).
cnf(s36,plain,
( spl4_6
| spl4_7
| ~ spl4_10 ),
inference(sat_conversion,[],[f165]) ).
cnf(s37,plain,
( ~ spl4_2
| ~ spl4_4
| spl4_5
| ~ spl4_9 ),
inference(sat_conversion,[],[f168]) ).
cnf(s38,plain,
( spl4_3
| spl4_1 ),
inference(rat,[],[s25,s5,s8,s13,s12,s4,s10,s1]) ).
cnf(s39,plain,
spl4_1,
inference(rat,[],[s28,s5,s7,s37,s32,s3,s9,s38,s1]) ).
cnf(s40,plain,
~ spl4_2,
inference(rat,[],[s2,s39]) ).
cnf(s41,plain,
( spl4_4
| spl4_10 ),
inference(rat,[],[s22,s8,s6,s15,s24,s39]) ).
cnf(s42,plain,
spl4_3,
inference(rat,[],[s41,s16,s4,s10,s40]) ).
cnf(s43,plain,
spl4_9,
inference(rat,[],[s9,s42]) ).
cnf(s44,plain,
spl4_4,
inference(rat,[],[s3,s42]) ).
cnf(s45,plain,
~ spl4_8,
inference(rat,[],[s27,s39,s40,s43]) ).
cnf(s46,plain,
spl4_10,
inference(rat,[],[s15,s39,s45]) ).
cnf(s47,plain,
~ spl4_7,
inference(rat,[],[s7,s45]) ).
cnf(s48,plain,
spl4_6,
inference(rat,[],[s36,s46,s47]) ).
cnf(s49,plain,
spl4_5,
inference(rat,[],[s6,s48]) ).
cnf(s50,plain,
$false,
inference(rat,[],[s28,s47,s44,s49,s48]) ).
tff(f169,plain,
$false,
inference(avatar_sat_refutation,[],[s50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYO500_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Mon Sep 28 17:46:19 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.12 Running first-order theorem proving
% 0.09/0.12 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
% 1.71/0.58 % (3585164)Detected formulas, will run a generic FOF schedule.
% 1.71/0.58 % (3585175)dis-21_1_sil=8000:lcm=predicate:random_seed=1419417833:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 1.71/0.58 % (3585171)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1390007786:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.71/0.58 % (3585173)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2384236884:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.71/0.58 % (3585172)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3599524873:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.71/0.58 % (3585169)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=2599050639:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.71/0.58 % (3585174)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2773886668:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.71/0.58 % (3585170)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3676857513:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.71/0.58 % (3585175)Refutation not found, incomplete strategy
% 1.71/0.58 % (3585175)------------------------------
% 1.71/0.58 % (3585175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.71/0.58 % (3585175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.58 % (3585175)CaDiCaL version: 2.1.3
% 1.71/0.58 % (3585175)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.58 % (3585175)Time elapsed: 0.001 s
% 1.71/0.58 % (3585172)Refutation not found, incomplete strategy
% 1.71/0.58 % (3585172)------------------------------
% 1.71/0.58 % (3585172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.71/0.58 % (3585172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.71/0.58 % (3585172)CaDiCaL version: 2.1.3
% 1.71/0.58 % (3585175)Peak memory usage: 88 MB
% 1.71/0.58 % (3585172)Termination reason: Refutation not found, incomplete strategy
% 1.71/0.58 % (3585172)Time elapsed: 0.001 s
% 1.71/0.58 % (3585172)Peak memory usage: 88 MB
% 1.71/0.58 % (3585174)First to succeed.
% 1.71/0.58 % (3585174)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3585164"
% 1.71/0.58 % (3585173)Also succeeded, but the first one will report.
% 1.71/0.58 % (3585172)------------------------------
% 1.71/0.58 % (3585172)------------------------------
% 1.71/0.58 % (3585175)------------------------------
% 1.71/0.58 % (3585175)------------------------------
% 1.71/0.58 % (3585174)Refutation found. Thanks to Tanya!
% 1.71/0.58 % SZS status Theorem for theBenchmark
% 1.71/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 2.12/0.68 % (3585174)------------------------------
% 2.12/0.68 % (3585174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.12/0.68 % (3585174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.12/0.68 % (3585174)CaDiCaL version: 2.1.3
% 2.12/0.68 % (3585174)Termination reason: Refutation
% 2.12/0.68 % (3585174)Time elapsed: 0.003 s
% 2.12/0.68 % (3585174)Peak memory usage: 89 MB
% 2.12/0.68 % (3585174)Instructions burned: 5 (million)
% 2.12/0.68 % (3585174)------------------------------
% 2.12/0.68 % (3585174)------------------------------
% 2.12/0.68 % (3585164)Success in time 0.271 s
% 2.12/0.68 % Vampire exiting
%------------------------------------------------------------------------------