%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CSR128_8 : TPTP v9.3.1. Released v8.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.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 09:43:48 AM UTC 2026
% Result : Theorem 2.85s 1.07s
% Output : Refutation 3.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 18
% Syntax : Number of formulae : 110 ( 23 unt; 0 typ; 14 def)
% Number of atoms : 415 ( 48 equ)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 234 ( 108 ~; 102 |; 6 &)
% ( 16 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 196 ( 179 fml; 17 var)
% Number of types : 3 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 24 ( 21 usr; 18 prp; 0-2 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 60 ( 0 sgn 54 !; 6 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
num: $tType ).
tff(func_def_5,type,
bG0: $o ).
tff(func_def_8,type,
bG1: $i > $o ).
tff(func_def_9,type,
bG2: $i > $o ).
tff(pred_def_1,type,
holdsDuring_THFTYPE_IiooI: ( $i * $o ) > $o ).
tff(f1,axiom,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
tff(f2,axiom,
! [X0: $i] :
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
=> likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax_001) ).
tff(f3,conjecture,
? [X0: $i,X1: $i] : holdsDuring_THFTYPE_IiooI(X0,likes_THFTYPE_IiioI(lSue_THFTYPE_i,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
tff(f4,negated_conjecture,
~ ? [X0: $i,X1: $i] : holdsDuring_THFTYPE_IiooI(X0,likes_THFTYPE_IiioI(lSue_THFTYPE_i,X1)),
inference(negated_conjecture,[status(cth)],[f3]) ).
tff(f5,definition,
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
<=> ( bG0 = $true ) ),
introduced(definition,[new_symbols(definition,[bG0])],[fool_formula_definition]) ).
tff(f6,plain,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0),
inference(fool_elimination,[],[f1,f5]) ).
tff(f7,definition,
! [X0: $i] :
( ( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
=> likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )
<=> ( $true = bG1(X0) ) ),
introduced(definition,[new_symbols(definition,[bG1])],[fool_formula_definition]) ).
tff(f8,plain,
! [X0: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1(X0)),
inference(fool_elimination,[],[f2,f7]) ).
tff(f9,definition,
! [X1: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X1)
<=> ( $true = bG2(X1) ) ),
introduced(definition,[new_symbols(definition,[bG2])],[fool_formula_definition]) ).
tff(f10,plain,
~ ? [X0: $i,X1: $i] : holdsDuring_THFTYPE_IiooI(X0,bG2(X1)),
inference(fool_elimination,[],[f4,f9]) ).
tff(f11,plain,
! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
<=> ( $true = bG2(X0) ) ),
inference(rectify,[],[f9]) ).
tff(f12,plain,
! [X0: $i] :
( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
<=> ( $true = bG1(X0) ) ),
inference(ennf_transformation,[],[f7]) ).
tff(f13,plain,
! [X0: $i,X1: $i] : ~ holdsDuring_THFTYPE_IiooI(X0,bG2(X1)),
inference(ennf_transformation,[],[f10]) ).
tff(f14,plain,
! [X0: $i] :
( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ( $true != bG2(X0) ) )
& ( ( $true = bG2(X0) )
| ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) ) ),
inference(nnf_transformation,[],[f11]) ).
tff(f15,plain,
! [X0: $i] :
( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ( $true != bG1(X0) ) )
& ( ( $true = bG1(X0) )
| ( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) ) ) ),
inference(nnf_transformation,[],[f12]) ).
tff(f16,plain,
! [X0: $i] :
( ( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ( $true != bG1(X0) ) )
& ( ( $true = bG1(X0) )
| ( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
& likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) ) ) ),
inference(flattening,[],[f15]) ).
tff(f17,plain,
( ( likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| ( bG0 != $true ) )
& ( ( bG0 = $true )
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ) ),
inference(nnf_transformation,[],[f5]) ).
tff(f18,plain,
! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ( $true = bG2(X0) ) ),
inference(cnf_transformation,[],[f14]) ).
tff(f20,plain,
! [X0: $i] :
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ( $true = bG1(X0) ) ),
inference(cnf_transformation,[],[f16]) ).
tff(f22,plain,
! [X0: $i] :
( ( $true != bG1(X0) )
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) ),
inference(cnf_transformation,[],[f16]) ).
tff(f23,plain,
( ( bG0 = $true )
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ),
inference(cnf_transformation,[],[f17]) ).
tff(f24,plain,
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| ( bG0 != $true ) ),
inference(cnf_transformation,[],[f17]) ).
tff(f25,plain,
holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG0),
inference(cnf_transformation,[],[f6]) ).
tff(f26,plain,
! [X0: $i] : holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),bG1(X0)),
inference(cnf_transformation,[],[f8]) ).
tff(f27,plain,
! [X0: $i,X1: $i] : ~ holdsDuring_THFTYPE_IiooI(X0,bG2(X1)),
inference(cnf_transformation,[],[f13]) ).
tff(f29,plain,
! [X0: $o] :
( ( $false = (X0) )
| ( $true = (X0) ) ),
introduced(definition,[],[fool_exhaustiveness_axiom]) ).
tff(f31,definition,
( spl3_1
<=> likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
tff(f32,plain,
( likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f31]) ).
tff(f33,plain,
( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,lBill_THFTYPE_i)
| spl3_1 ),
inference(avatar_component_clause,[],[f31]) ).
tff(f35,definition,
( spl3_2
<=> ( bG0 = $true ) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
tff(f37,plain,
( ( bG0 = $true )
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f35]) ).
tff(f38,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f23,f35,f31]) ).
tff(f39,plain,
( ~ spl3_2
| spl3_1 ),
inference(avatar_split_clause,[],[f24,f31,f35]) ).
tff(f40,plain,
! [X0: $o,X1: $o] :
( ( $true = (X1) )
| ( (X0) = (X1) )
| ( $true = (X0) ) ),
inference(superposition,[],[f29,f29]) ).
tff(f42,plain,
( holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false)
| ( bG0 = $true ) ),
inference(superposition,[],[f25,f29]) ).
tff(f45,plain,
! [X0: $i,X1: $i] :
( ~ holdsDuring_THFTYPE_IiooI(X0,$false)
| ( $true = bG2(X1) ) ),
inference(superposition,[],[f27,f29]) ).
tff(f48,definition,
( spl3_3
<=> ! [X1: $i] : ( $true = bG2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
tff(f49,plain,
( ! [X1: $i] : ( $true = bG2(X1) )
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f48]) ).
tff(f51,definition,
( spl3_4
<=> ! [X0: $i] : ~ holdsDuring_THFTYPE_IiooI(X0,$false) ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
tff(f52,plain,
( ! [X0: $i] : ~ holdsDuring_THFTYPE_IiooI(X0,$false)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f51]) ).
tff(f53,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f45,f51,f48]) ).
tff(f55,definition,
( spl3_5
<=> ! [X0: $i] : ( $true = bG1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
tff(f56,plain,
( ! [X0: $i] : ( $true = bG1(X0) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f55]) ).
tff(f58,definition,
( spl3_6
<=> holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
tff(f60,plain,
( holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$false)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f58]) ).
tff(f64,plain,
( ( $true = bG1(lBill_THFTYPE_i) )
| spl3_1 ),
inference(resolution,[],[f20,f33]) ).
tff(f67,plain,
( ! [X0: $i] : ~ holdsDuring_THFTYPE_IiooI(X0,$true)
| ~ spl3_3 ),
inference(superposition,[],[f27,f49]) ).
tff(f76,plain,
( holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true)
| spl3_1 ),
inference(superposition,[],[f26,f64]) ).
tff(f79,plain,
( $false
| spl3_1
| ~ spl3_3 ),
inference(forward_subsumption_resolution,[],[f76,f67]) ).
tff(f80,plain,
( spl3_1
| ~ spl3_3 ),
inference(avatar_contradiction_clause,[],[f79]) ).
tff(f81,plain,
( spl3_2
| spl3_6 ),
inference(avatar_split_clause,[],[f42,f58,f35]) ).
tff(f83,plain,
( holdsDuring_THFTYPE_IiooI(lYearFn_THFTYPE_IiiI(n2009_THFTYPE_i),$true)
| ~ spl3_2 ),
inference(superposition,[],[f25,f37]) ).
tff(f85,plain,
( $false
| ~ spl3_2
| ~ spl3_3 ),
inference(forward_subsumption_resolution,[],[f83,f67]) ).
tff(f86,plain,
( ~ spl3_2
| ~ spl3_3 ),
inference(avatar_contradiction_clause,[],[f85]) ).
tff(f87,plain,
( ! [X0: $o,X1: $i] :
( ~ holdsDuring_THFTYPE_IiooI(X1,(X0))
| ( $true = (X0) ) )
| ~ spl3_4 ),
inference(superposition,[],[f52,f29]) ).
tff(f89,plain,
( ! [X0: $i] : ( $true = bG1(X0) )
| ~ spl3_4 ),
inference(resolution,[],[f87,f26]) ).
tff(f91,plain,
( spl3_5
| ~ spl3_4 ),
inference(avatar_split_clause,[],[f89,f51,f55]) ).
tff(f93,plain,
( ! [X0: $i] :
( ( $true != $true )
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )
| ~ spl3_5 ),
inference(superposition,[],[f22,f56]) ).
tff(f95,plain,
( ! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) )
| ~ spl3_5 ),
inference(trivial_inequality_removal,[],[f93]) ).
tff(f97,plain,
( $false
| ~ spl3_4
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f60,f52]) ).
tff(f98,plain,
( ~ spl3_4
| ~ spl3_6 ),
inference(avatar_contradiction_clause,[],[f97]) ).
tff(f106,plain,
! [X2: $o,X0: $i,X1: $i] :
( ~ holdsDuring_THFTYPE_IiooI(X0,$true)
| ( bG2(X1) = (X2) )
| ( $true = (X2) ) ),
inference(superposition,[],[f27,f40]) ).
tff(f114,definition,
( spl3_7
<=> ! [X2: $o,X1: $i] :
( ( bG2(X1) = (X2) )
| ( $true = (X2) ) ) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
tff(f115,plain,
( ! [X2: $o,X1: $i] :
( ( bG2(X1) = (X2) )
| ( $true = (X2) ) )
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f114]) ).
tff(f117,definition,
( spl3_8
<=> ! [X0: $i] : ~ holdsDuring_THFTYPE_IiooI(X0,$true) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
tff(f118,plain,
( ! [X0: $i] : ~ holdsDuring_THFTYPE_IiooI(X0,$true)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f117]) ).
tff(f119,plain,
( spl3_7
| spl3_8 ),
inference(avatar_split_clause,[],[f106,f117,f114]) ).
tff(f123,definition,
( spl3_9
<=> ! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
tff(f124,plain,
( ! [X0: $i] :
( likes_THFTYPE_IiioI(lSue_THFTYPE_i,X0)
| ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0) )
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f123]) ).
tff(f126,definition,
( spl3_10
<=> ! [X1: $o] : ( $true = (X1) ) ),
introduced(definition,[new_symbols(definition,[spl3_10])],[avatar_definition]) ).
tff(f127,plain,
( ! [X1: $o] : ( $true = (X1) )
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f126]) ).
tff(f129,plain,
( $false
| ~ spl3_2
| ~ spl3_8 ),
inference(resolution,[],[f118,f83]) ).
tff(f131,plain,
( ~ spl3_2
| ~ spl3_8 ),
inference(avatar_contradiction_clause,[],[f129]) ).
tff(f143,plain,
( ! [X0: $o,X1: $i] :
( ( $true != bG2(X1) )
| ( $true = (X0) ) )
| ~ spl3_7 ),
inference(equality_factoring,[],[f115]) ).
tff(f146,definition,
( spl3_11
<=> ! [X1: $i] : ( $true != bG2(X1) ) ),
introduced(definition,[new_symbols(definition,[spl3_11])],[avatar_definition]) ).
tff(f147,plain,
( ! [X1: $i] : ( $true != bG2(X1) )
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f146]) ).
tff(f148,plain,
( spl3_10
| spl3_11
| ~ spl3_7 ),
inference(avatar_split_clause,[],[f143,f114,f146,f126]) ).
tff(f159,plain,
( spl3_9
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f95,f55,f123]) ).
tff(f161,plain,
( ! [X0: $i] :
( ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ( $true = bG2(X0) ) )
| ~ spl3_9 ),
inference(resolution,[],[f124,f18]) ).
tff(f162,plain,
( ! [X0: $i] : ~ likes_THFTYPE_IiioI(lMary_THFTYPE_i,X0)
| ~ spl3_9
| ~ spl3_11 ),
inference(forward_subsumption_resolution,[],[f161,f147]) ).
tff(f166,plain,
( $false
| ~ spl3_1
| ~ spl3_9
| ~ spl3_11 ),
inference(resolution,[],[f162,f32]) ).
tff(f167,plain,
( ~ spl3_1
| ~ spl3_9
| ~ spl3_11 ),
inference(avatar_contradiction_clause,[],[f166]) ).
tff(f178,plain,
( ! [X0: $i] : ~ holdsDuring_THFTYPE_IiooI(X0,$true)
| ~ spl3_10 ),
inference(superposition,[],[f27,f127]) ).
tff(f182,plain,
( spl3_8
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f178,f126,f117]) ).
cnf(s1,plain,
( ~ spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f38]) ).
cnf(s2,plain,
( spl3_1
| ~ spl3_2 ),
inference(sat_conversion,[],[f39]) ).
cnf(s3,plain,
( spl3_3
| spl3_4 ),
inference(sat_conversion,[],[f53]) ).
cnf(s7,plain,
( spl3_1
| ~ spl3_3 ),
inference(sat_conversion,[],[f80]) ).
cnf(s8,plain,
( spl3_2
| spl3_6 ),
inference(sat_conversion,[],[f81]) ).
cnf(s9,plain,
( ~ spl3_2
| ~ spl3_3 ),
inference(sat_conversion,[],[f86]) ).
cnf(s10,plain,
( ~ spl3_4
| spl3_5 ),
inference(sat_conversion,[],[f91]) ).
cnf(s11,plain,
( ~ spl3_4
| ~ spl3_6 ),
inference(sat_conversion,[],[f98]) ).
cnf(s12,plain,
( spl3_7
| spl3_8 ),
inference(sat_conversion,[],[f119]) ).
cnf(s14,plain,
( ~ spl3_2
| ~ spl3_8 ),
inference(sat_conversion,[],[f131]) ).
cnf(s15,plain,
( ~ spl3_7
| spl3_10
| spl3_11 ),
inference(sat_conversion,[],[f148]) ).
cnf(s17,plain,
( ~ spl3_5
| spl3_9 ),
inference(sat_conversion,[],[f159]) ).
cnf(s18,plain,
( ~ spl3_1
| ~ spl3_9
| ~ spl3_11 ),
inference(sat_conversion,[],[f167]) ).
cnf(s19,plain,
( spl3_8
| ~ spl3_10 ),
inference(sat_conversion,[],[f182]) ).
cnf(s21,plain,
spl3_1,
inference(rat,[],[s11,s8,s3,s2,s7]) ).
cnf(s22,plain,
spl3_2,
inference(rat,[],[s1,s21]) ).
cnf(s23,plain,
~ spl3_8,
inference(rat,[],[s14,s22]) ).
cnf(s24,plain,
~ spl3_3,
inference(rat,[],[s9,s22]) ).
cnf(s25,plain,
~ spl3_10,
inference(rat,[],[s19,s23]) ).
cnf(s26,plain,
spl3_7,
inference(rat,[],[s12,s23]) ).
cnf(s27,plain,
spl3_4,
inference(rat,[],[s3,s24]) ).
cnf(s28,plain,
spl3_11,
inference(rat,[],[s15,s25,s26]) ).
cnf(s30,plain,
spl3_5,
inference(rat,[],[s10,s27]) ).
cnf(s31,plain,
~ spl3_9,
inference(rat,[],[s18,s21,s28]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s17,s31,s30]) ).
tff(f184,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR128_8 : TPTP v9.3.1. Released v8.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n005.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 23:35:17 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 2.85/1.07 % (1281966)Detected formulas, will run a generic FOF schedule.
% 2.85/1.07 % (1281979)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=597803964:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.85/1.07 % (1281979)Instruction limit reached!
% 2.85/1.07 % (1281979)------------------------------
% 2.85/1.07 % (1281979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.85/1.07 % (1281979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/1.07 % (1281979)CaDiCaL version: 2.1.3
% 2.85/1.07 % (1281979)Termination reason: Instruction limit
% 2.85/1.07 % (1281979)Termination phase: Saturation
% 2.85/1.07 % (1281979)Time elapsed: 0.028 s
% 2.85/1.07 % (1281979)Peak memory usage: 88 MB
% 2.85/1.07 % (1281979)Instructions burned: 120 (million)
% 2.85/1.07 % (1281976)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=3719567906:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.85/1.07 % (1281977)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=2701950770:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.85/1.07 % (1281975)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=3721869222:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.85/1.07 % (1281978)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2600960458:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.85/1.07 % (1281978)Refutation not found, incomplete strategy
% 2.85/1.07 % (1281978)------------------------------
% 2.85/1.07 % (1281978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.85/1.07 % (1281978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/1.07 % (1281978)CaDiCaL version: 2.1.3
% 2.85/1.07 % (1281978)Termination reason: Refutation not found, incomplete strategy
% 2.85/1.07 % (1281978)Time elapsed: 0.001 s
% 2.85/1.07 % (1281978)Peak memory usage: 88 MB
% 2.85/1.07 % (1281981)dis-21_1_sil=8000:lcm=predicate:random_seed=483258910: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)
% 2.85/1.07 % (1281980)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2313703381:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.85/1.07 % (1281981)Refutation not found, incomplete strategy
% 2.85/1.07 % (1281981)------------------------------
% 2.85/1.07 % (1281981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.85/1.07 % (1281981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.85/1.07 % (1281981)CaDiCaL version: 2.1.3
% 2.85/1.07 % (1281981)Termination reason: Refutation not found, incomplete strategy
% 2.85/1.07 % (1281981)Time elapsed: 0.002 s
% 2.85/1.07 % (1281981)Peak memory usage: 88 MB
% 2.85/1.07 % (1281981)Instructions burned: 1 (million)
% 2.85/1.07 % (1281980)First to succeed.
% 2.85/1.07 % (1281980)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1281966"
% 2.85/1.07 % (1281983)lrs+10_1_sil=8000:sp=occurrence:random_seed=872170940:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.85/1.07 % (1281983)Also succeeded, but the first one will report.
% 2.85/1.07 % (1281978)------------------------------
% 2.85/1.07 % (1281978)------------------------------
% 2.85/1.07 % (1281981)------------------------------
% 2.85/1.07 % (1281981)------------------------------
% 2.85/1.07 % (1281980)Refutation found. Thanks to Tanya!
% 2.85/1.07 % SZS status Theorem for theBenchmark
% 2.85/1.07 % SZS output start Proof for theBenchmark
% See solution above
% 3.58/1.26 % (1281980)------------------------------
% 3.58/1.26 % (1281980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.58/1.26 % (1281980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.58/1.26 % (1281980)CaDiCaL version: 2.1.3
% 3.58/1.26 % (1281980)Termination reason: Refutation
% 3.58/1.26 % (1281980)Time elapsed: 0.006 s
% 3.58/1.26 % (1281980)Peak memory usage: 90 MB
% 3.58/1.26 % (1281980)Instructions burned: 6 (million)
% 3.58/1.26 % (1281980)------------------------------
% 3.58/1.26 % (1281980)------------------------------
% 3.58/1.26 % (1281966)Success in time 0.417 s
% 3.58/1.26 % Vampire exiting
%------------------------------------------------------------------------------