%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET143+3 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:40:16 PM UTC 2026
% Result : Theorem 2.83s 1.31s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 15
% Syntax : Number of formulae : 101 ( 14 unt; 11 def)
% Number of atoms : 241 ( 12 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 220 ( 80 ~; 108 |; 16 &)
% ( 15 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 15 ( 13 usr; 11 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 60 ( 0 sgn 55 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( member(X2,intersection(X0,X1))
<=> ( member(X2,X0)
& member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',intersection_defn) ).
fof(f2,axiom,
! [X0,X1] :
( X0 = X1
<=> ( subset(X0,X1)
& subset(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equal_defn) ).
fof(f4,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X0)
=> member(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subset_defn) ).
fof(f7,conjecture,
! [X0,X1,X2] : intersection(intersection(X0,X1),X2) = intersection(X0,intersection(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_associativity_of_intersection) ).
fof(f8,negated_conjecture,
~ ! [X0,X1,X2] : intersection(intersection(X0,X1),X2) = intersection(X0,intersection(X1,X2)),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f10,plain,
? [X0,X1,X2] : intersection(intersection(X0,X1),X2) != intersection(X0,intersection(X1,X2)),
inference(ennf_transformation,[],[f8]) ).
fof(f11,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) )
& ( ( member(X2,X0)
& member(X2,X1) )
| ~ member(X2,intersection(X0,X1)) ) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f14,plain,
! [X0,X1] :
( ( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) )
& ( ( subset(X0,X1)
& subset(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f13]) ).
fof(f15,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X2] :
( member(X2,X1)
| ~ member(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f16,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ member(X2,X1)
& member(X2,X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ member(sK0(X0,X1),X1)
& member(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( member(X3,X1)
| ~ member(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f16]) ).
fof(f21,plain,
intersection(intersection(sK2,sK3),sK4) != intersection(sK2,intersection(sK3,sK4)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f10]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f23,plain,
! [X2,X0,X1] :
( ~ member(X2,intersection(X0,X1))
| member(X2,X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f24,plain,
! [X2,X0,X1] :
( member(X2,intersection(X0,X1))
| ~ member(X2,X0)
| ~ member(X2,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f27,plain,
! [X0,X1] :
( X0 = X1
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f30,plain,
! [X0,X1] :
( subset(X0,X1)
| member(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f31,plain,
! [X0,X1] :
( subset(X0,X1)
| ~ member(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f37,plain,
intersection(intersection(sK2,sK3),sK4) != intersection(sK2,intersection(sK3,sK4)),
inference(cnf_transformation,[],[f21]) ).
fof(f42,definition,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ5_eqProxy])],[equality_proxy_definition]) ).
fof(f43,plain,
! [X0,X1] :
( sQ5_eqProxy(X0,X1)
| ~ subset(X0,X1)
| ~ subset(X1,X0) ),
inference(equality_proxy_replacement,[],[f27,f42]) ).
fof(f47,plain,
~ sQ5_eqProxy(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),
inference(equality_proxy_replacement,[],[f37,f42]) ).
fof(f55,plain,
( ~ subset(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4)))
| ~ subset(intersection(sK2,intersection(sK3,sK4)),intersection(intersection(sK2,sK3),sK4)) ),
inference(resolution,[],[f43,f47]) ).
fof(f58,definition,
( spl6_1
<=> subset(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f59,plain,
( ~ subset(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4)))
| spl6_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f61,definition,
( spl6_2
<=> subset(intersection(sK2,intersection(sK3,sK4)),intersection(intersection(sK2,sK3),sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f62,plain,
( ~ subset(intersection(sK2,intersection(sK3,sK4)),intersection(intersection(sK2,sK3),sK4))
| spl6_2 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f64,plain,
( ~ spl6_2
| ~ spl6_1 ),
inference(avatar_split_clause,[],[f55,f58,f61]) ).
fof(f66,plain,
( member(sK0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(intersection(sK2,sK3),sK4))
| spl6_1 ),
inference(resolution,[],[f59,f30]) ).
fof(f67,plain,
( member(sK0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(sK2,sK3))
| spl6_1 ),
inference(resolution,[],[f66,f23]) ).
fof(f68,plain,
( member(sK0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK4)
| spl6_1 ),
inference(resolution,[],[f66,f22]) ).
fof(f73,definition,
( spl6_3
<=> member(sK0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(sK3,sK4)) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f74,plain,
( ~ member(sK0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(sK3,sK4))
| spl6_3 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,definition,
( spl6_4
<=> member(sK0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK2) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f77,plain,
( ~ member(sK0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK2)
| spl6_4 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f80,plain,
( member(sK0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK3)
| spl6_1 ),
inference(resolution,[],[f67,f22]) ).
fof(f81,plain,
( ~ member(sK0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK3)
| ~ member(sK0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK4)
| spl6_3 ),
inference(resolution,[],[f74,f24]) ).
fof(f83,definition,
( spl6_5
<=> member(sK0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK4) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f84,plain,
( ~ member(sK0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK4)
| spl6_5 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f86,definition,
( spl6_6
<=> member(sK0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK3) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f87,plain,
( ~ member(sK0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK3)
| spl6_6 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f88,plain,
( ~ spl6_5
| ~ spl6_6
| spl6_3 ),
inference(avatar_split_clause,[],[f81,f73,f86,f83]) ).
fof(f89,plain,
( $false
| spl6_1
| spl6_5 ),
inference(resolution,[],[f84,f68]) ).
fof(f90,plain,
( spl6_1
| spl6_5 ),
inference(avatar_contradiction_clause,[],[f89]) ).
fof(f91,plain,
( $false
| spl6_1
| spl6_6 ),
inference(resolution,[],[f87,f80]) ).
fof(f92,plain,
( spl6_1
| spl6_6 ),
inference(avatar_contradiction_clause,[],[f91]) ).
fof(f93,plain,
( ~ member(sK0(intersection(sK2,intersection(sK3,sK4)),intersection(intersection(sK2,sK3),sK4)),intersection(intersection(sK2,sK3),sK4))
| spl6_2 ),
inference(resolution,[],[f62,f31]) ).
fof(f94,plain,
( member(sK0(intersection(sK2,intersection(sK3,sK4)),intersection(intersection(sK2,sK3),sK4)),intersection(sK2,intersection(sK3,sK4)))
| spl6_2 ),
inference(resolution,[],[f62,f30]) ).
fof(f95,plain,
( ~ member(sK0(intersection(sK2,intersection(sK3,sK4)),intersection(intersection(sK2,sK3),sK4)),intersection(sK2,sK3))
| ~ member(sK0(intersection(sK2,intersection(sK3,sK4)),intersection(intersection(sK2,sK3),sK4)),sK4)
| spl6_2 ),
inference(resolution,[],[f93,f24]) ).
fof(f97,definition,
( spl6_7
<=> member(sK0(intersection(sK2,intersection(sK3,sK4)),intersection(intersection(sK2,sK3),sK4)),sK4) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
fof(f98,plain,
( ~ member(sK0(intersection(sK2,intersection(sK3,sK4)),intersection(intersection(sK2,sK3),sK4)),sK4)
| spl6_7 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f100,definition,
( spl6_8
<=> member(sK0(intersection(sK2,intersection(sK3,sK4)),intersection(intersection(sK2,sK3),sK4)),intersection(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
fof(f101,plain,
( ~ member(sK0(intersection(sK2,intersection(sK3,sK4)),intersection(intersection(sK2,sK3),sK4)),intersection(sK2,sK3))
| spl6_8 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f102,plain,
( ~ spl6_7
| ~ spl6_8
| spl6_2 ),
inference(avatar_split_clause,[],[f95,f61,f100,f97]) ).
fof(f103,plain,
( member(sK0(intersection(sK2,intersection(sK3,sK4)),intersection(intersection(sK2,sK3),sK4)),sK2)
| spl6_2 ),
inference(resolution,[],[f94,f23]) ).
fof(f104,plain,
( member(sK0(intersection(sK2,intersection(sK3,sK4)),intersection(intersection(sK2,sK3),sK4)),intersection(sK3,sK4))
| spl6_2 ),
inference(resolution,[],[f94,f22]) ).
fof(f105,plain,
( member(sK0(intersection(sK2,intersection(sK3,sK4)),intersection(intersection(sK2,sK3),sK4)),sK3)
| spl6_2 ),
inference(resolution,[],[f104,f23]) ).
fof(f106,plain,
( member(sK0(intersection(sK2,intersection(sK3,sK4)),intersection(intersection(sK2,sK3),sK4)),sK4)
| spl6_2 ),
inference(resolution,[],[f104,f22]) ).
fof(f107,plain,
( $false
| spl6_2
| spl6_7 ),
inference(resolution,[],[f106,f98]) ).
fof(f108,plain,
( spl6_2
| spl6_7 ),
inference(avatar_contradiction_clause,[],[f107]) ).
fof(f157,plain,
( ~ member(sK0(intersection(sK2,intersection(sK3,sK4)),intersection(intersection(sK2,sK3),sK4)),sK2)
| ~ member(sK0(intersection(sK2,intersection(sK3,sK4)),intersection(intersection(sK2,sK3),sK4)),sK3)
| spl6_8 ),
inference(resolution,[],[f101,f24]) ).
fof(f159,definition,
( spl6_21
<=> member(sK0(intersection(sK2,intersection(sK3,sK4)),intersection(intersection(sK2,sK3),sK4)),sK3) ),
introduced(definition,[new_symbols(definition,[spl6_21])],[avatar_definition]) ).
fof(f160,plain,
( ~ member(sK0(intersection(sK2,intersection(sK3,sK4)),intersection(intersection(sK2,sK3),sK4)),sK3)
| spl6_21 ),
inference(avatar_component_clause,[],[f159]) ).
fof(f162,definition,
( spl6_22
<=> member(sK0(intersection(sK2,intersection(sK3,sK4)),intersection(intersection(sK2,sK3),sK4)),sK2) ),
introduced(definition,[new_symbols(definition,[spl6_22])],[avatar_definition]) ).
fof(f163,plain,
( ~ member(sK0(intersection(sK2,intersection(sK3,sK4)),intersection(intersection(sK2,sK3),sK4)),sK2)
| spl6_22 ),
inference(avatar_component_clause,[],[f162]) ).
fof(f164,plain,
( ~ spl6_21
| ~ spl6_22
| spl6_8 ),
inference(avatar_split_clause,[],[f157,f100,f162,f159]) ).
fof(f165,plain,
( $false
| spl6_2
| spl6_21 ),
inference(resolution,[],[f160,f105]) ).
fof(f166,plain,
( spl6_2
| spl6_21 ),
inference(avatar_contradiction_clause,[],[f165]) ).
fof(f167,plain,
( $false
| spl6_2
| spl6_22 ),
inference(resolution,[],[f163,f103]) ).
fof(f168,plain,
( spl6_2
| spl6_22 ),
inference(avatar_contradiction_clause,[],[f167]) ).
fof(f169,plain,
( ~ member(sK0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(sK2,intersection(sK3,sK4)))
| spl6_1 ),
inference(resolution,[],[f59,f31]) ).
fof(f170,plain,
( member(sK0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(intersection(sK2,sK3),sK4))
| spl6_1 ),
inference(resolution,[],[f59,f30]) ).
fof(f171,plain,
( ~ member(sK0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK2)
| ~ member(sK0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(sK3,sK4))
| spl6_1 ),
inference(resolution,[],[f169,f24]) ).
fof(f172,plain,
( ~ spl6_3
| ~ spl6_4
| spl6_1 ),
inference(avatar_split_clause,[],[f171,f58,f76,f73]) ).
fof(f173,plain,
( member(sK0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),intersection(sK2,sK3))
| spl6_1 ),
inference(resolution,[],[f170,f23]) ).
fof(f175,plain,
( member(sK0(intersection(intersection(sK2,sK3),sK4),intersection(sK2,intersection(sK3,sK4))),sK2)
| spl6_1 ),
inference(resolution,[],[f173,f23]) ).
fof(f193,plain,
( $false
| spl6_1
| spl6_4 ),
inference(resolution,[],[f175,f77]) ).
fof(f194,plain,
( spl6_1
| spl6_4 ),
inference(avatar_contradiction_clause,[],[f193]) ).
cnf(s2,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f64]) ).
cnf(s4,plain,
( spl6_3
| ~ spl6_5
| ~ spl6_6 ),
inference(sat_conversion,[],[f88]) ).
cnf(s5,plain,
( spl6_1
| spl6_5 ),
inference(sat_conversion,[],[f90]) ).
cnf(s6,plain,
( spl6_1
| spl6_6 ),
inference(sat_conversion,[],[f92]) ).
cnf(s7,plain,
( spl6_2
| ~ spl6_7
| ~ spl6_8 ),
inference(sat_conversion,[],[f102]) ).
cnf(s8,plain,
( spl6_2
| spl6_7 ),
inference(sat_conversion,[],[f108]) ).
cnf(s15,plain,
( spl6_8
| ~ spl6_21
| ~ spl6_22 ),
inference(sat_conversion,[],[f164]) ).
cnf(s16,plain,
( spl6_2
| spl6_21 ),
inference(sat_conversion,[],[f166]) ).
cnf(s17,plain,
( spl6_2
| spl6_22 ),
inference(sat_conversion,[],[f168]) ).
cnf(s18,plain,
( spl6_1
| ~ spl6_3
| ~ spl6_4 ),
inference(sat_conversion,[],[f172]) ).
cnf(s19,plain,
( spl6_1
| spl6_4 ),
inference(sat_conversion,[],[f194]) ).
cnf(s20,plain,
( spl6_1
| ~ spl6_4 ),
inference(rat,[],[s4,s5,s6,s18]) ).
cnf(s21,plain,
spl6_1,
inference(rat,[],[s20,s19]) ).
cnf(s22,plain,
~ spl6_2,
inference(rat,[],[s2,s21]) ).
cnf(s23,plain,
spl6_22,
inference(rat,[],[s17,s22]) ).
cnf(s24,plain,
spl6_21,
inference(rat,[],[s16,s22]) ).
cnf(s25,plain,
spl6_7,
inference(rat,[],[s8,s22]) ).
cnf(s26,plain,
spl6_8,
inference(rat,[],[s15,s23,s24]) ).
cnf(s27,plain,
$false,
inference(rat,[],[s7,s22,s26,s25]) ).
fof(f195,plain,
$false,
inference(avatar_sat_refutation,[],[s27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET143+3 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n016.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 00:58:33 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 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
% 2.83/1.31 % (3158103)Detected formulas, will run a generic FOF schedule.
% 2.83/1.31 % (3158113)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2209376249:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.83/1.31 % (3158109)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=765256018:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.83/1.31 % (3158112)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1791650439:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.83/1.31 % (3158108)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=3448202447:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.83/1.31 % (3158110)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=144599805:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.83/1.31 % (3158111)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=818695499:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.83/1.31 % (3158111)Refutation not found, incomplete strategy
% 2.83/1.31 % (3158111)------------------------------
% 2.83/1.31 % (3158111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.31 % (3158111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.31 % (3158111)CaDiCaL version: 2.1.3
% 2.83/1.31 % (3158111)Termination reason: Refutation not found, incomplete strategy
% 2.83/1.31 % (3158111)Time elapsed: 0.001 s
% 2.83/1.31 % (3158111)Peak memory usage: 88 MB
% 2.83/1.31 % (3158113)Instruction limit reached!
% 2.83/1.31 % (3158113)------------------------------
% 2.83/1.31 % (3158113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.31 % (3158113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.31 % (3158113)CaDiCaL version: 2.1.3
% 2.83/1.31 % (3158113)Termination reason: Instruction limit
% 2.83/1.31 % (3158113)Termination phase: Saturation
% 2.83/1.31 % (3158113)Time elapsed: 0.048 s
% 2.83/1.31 % (3158113)Peak memory usage: 89 MB
% 2.83/1.31 % (3158113)Instructions burned: 141 (million)
% 2.83/1.31 % (3158114)dis-21_1_sil=8000:lcm=predicate:random_seed=1818776555: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)
% 2.83/1.31 % (3158114)First to succeed.
% 2.83/1.31 % (3158114)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3158103"
% 2.83/1.31 % (3158112)Instruction limit reached!
% 2.83/1.31 % (3158112)------------------------------
% 2.83/1.31 % (3158112)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.31 % (3158112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.31 % (3158112)CaDiCaL version: 2.1.3
% 2.83/1.31 % (3158112)Termination reason: Instruction limit
% 2.83/1.31 % (3158112)Termination phase: Saturation
% 2.83/1.31 % (3158112)Time elapsed: 0.072 s
% 2.83/1.31 % (3158112)Peak memory usage: 88 MB
% 2.83/1.31 % (3158112)Instructions burned: 119 (million)
% 2.83/1.31 % (3158121)lrs+10_1_sil=8000:sp=occurrence:random_seed=3032120602:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.83/1.31 % (3158121)Instruction limit reached!
% 2.83/1.31 % (3158121)------------------------------
% 2.83/1.31 % (3158121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.31 % (3158121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.31 % (3158121)CaDiCaL version: 2.1.3
% 2.83/1.31 % (3158121)Termination reason: Instruction limit
% 2.83/1.31 % (3158121)Termination phase: Saturation
% 2.83/1.31 % (3158121)Time elapsed: 0.087 s
% 2.83/1.31 % (3158121)Peak memory usage: 90 MB
% 2.83/1.31 % (3158121)Instructions burned: 285 (million)
% 2.83/1.31 % (3158123)lrs+10_1_sil=32000:urr=on:br=off:random_seed=445499775:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.83/1.31 % (3158123)Refutation not found, incomplete strategy
% 2.83/1.31 % (3158123)------------------------------
% 2.83/1.31 % (3158123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.83/1.31 % (3158123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.83/1.31 % (3158123)CaDiCaL version: 2.1.3
% 2.83/1.31 % (3158123)Termination reason: Refutation not found, incomplete strategy
% 2.83/1.31 % (3158123)Time elapsed: 0.002 s
% 2.83/1.31 % (3158123)Peak memory usage: 89 MB
% 2.83/1.31 % (3158123)Instructions burned: 1 (million)
% 2.83/1.31 % (3158111)------------------------------
% 2.83/1.31 % (3158111)------------------------------
% 2.83/1.31 % (3158114)Refutation found. Thanks to Tanya!
% 2.83/1.31 % SZS status Theorem for theBenchmark
% 2.83/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.51 % (3158114)------------------------------
% 0.17/1.51 % (3158114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.51 % (3158114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.51 % (3158114)CaDiCaL version: 2.1.3
% 0.17/1.51 % (3158114)Termination reason: Refutation
% 0.17/1.51 % (3158114)Time elapsed: 0.005 s
% 0.17/1.51 % (3158114)Peak memory usage: 89 MB
% 0.17/1.51 % (3158114)Instructions burned: 5 (million)
% 0.17/1.51 % (3158114)------------------------------
% 0.17/1.51 % (3158114)------------------------------
% 0.17/1.51 % (3158103)Success in time 0.444 s
% 0.17/1.51 % Vampire exiting
%------------------------------------------------------------------------------