%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP025+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 02:33:53 PM UTC 2026
% Result : Theorem 8.96s 2.63s
% Output : Refutation 10.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 72 ( 13 unt; 4 def)
% Number of atoms : 264 ( 40 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 319 ( 127 ~; 130 |; 40 &)
% ( 9 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn 41 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12576,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v1_tex_2(X1,k1_zfmisc_1(X0))
<=> X1 != X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tex_2) ).
fof(f13329,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v3_pre_topc(X1,X0)
=> k3_tex_4(X0,X1) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_tex_4) ).
fof(f13332,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v4_pre_topc(X1,X0)
=> k3_tex_4(X0,X1) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_tex_4) ).
fof(f13476,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
<=> ( v1_tsp_1(X1,X0)
& k3_tex_4(X0,X1) = u1_struct_0(X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tsp_2) ).
fof(f13478,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ~ ( ( v3_pre_topc(X1,X0)
| v4_pre_topc(X1,X0) )
& v1_tsp_2(X1,X0)
& v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_tsp_2) ).
fof(f13479,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ~ ( ( v3_pre_topc(X1,X0)
| v4_pre_topc(X1,X0) )
& v1_tsp_2(X1,X0)
& v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
inference(negated_conjecture,[status(cth)],[f13478]) ).
fof(f13542,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( v1_tsp_1(X1,X0)
& k3_tex_4(X0,X1) = u1_struct_0(X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13476]) ).
fof(f13543,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( v1_tsp_1(X1,X0)
& k3_tex_4(X0,X1) = u1_struct_0(X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f13542]) ).
fof(f13546,plain,
? [X0] :
( ? [X1] :
( ( v3_pre_topc(X1,X0)
| v4_pre_topc(X1,X0) )
& v1_tsp_2(X1,X0)
& v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0)))
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13479]) ).
fof(f13547,plain,
? [X0] :
( ? [X1] :
( ( v3_pre_topc(X1,X0)
| v4_pre_topc(X1,X0) )
& v1_tsp_2(X1,X0)
& v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0)))
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f13546]) ).
fof(f13785,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13332]) ).
fof(f13786,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f13785]) ).
fof(f13791,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f13329]) ).
fof(f13792,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f13791]) ).
fof(f13913,plain,
! [X0,X1] :
( ( v1_tex_2(X1,k1_zfmisc_1(X0))
<=> X1 != X0 )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f12576]) ).
fof(f13965,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ~ v1_tsp_1(X1,X0)
| u1_struct_0(X0) != k3_tex_4(X0,X1) )
& ( ( v1_tsp_1(X1,X0)
& k3_tex_4(X0,X1) = u1_struct_0(X0) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f13543]) ).
fof(f13966,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ~ v1_tsp_1(X1,X0)
| u1_struct_0(X0) != k3_tex_4(X0,X1) )
& ( ( v1_tsp_1(X1,X0)
& k3_tex_4(X0,X1) = u1_struct_0(X0) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f13965]) ).
fof(f13967,plain,
( ( v3_pre_topc(sK18,sK17)
| v4_pre_topc(sK18,sK17) )
& v1_tsp_2(sK18,sK17)
& v1_tex_2(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
& m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
& ~ v3_struct_0(sK17)
& v2_pre_topc(sK17)
& l1_pre_topc(sK17) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18]),skolemize(X0,sK17),skolemize(X1,sK18)],[f13547]) ).
fof(f14114,plain,
! [X0,X1] :
( ( ( v1_tex_2(X1,k1_zfmisc_1(X0))
| X0 = X1 )
& ( X1 != X0
| ~ v1_tex_2(X1,k1_zfmisc_1(X0)) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f13913]) ).
fof(f14145,plain,
! [X0,X1] :
( u1_struct_0(X0) = k3_tex_4(X0,X1)
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f13966]) ).
fof(f14149,plain,
l1_pre_topc(sK17),
inference(cnf_transformation,[],[f13967]) ).
fof(f14150,plain,
v2_pre_topc(sK17),
inference(cnf_transformation,[],[f13967]) ).
fof(f14151,plain,
~ v3_struct_0(sK17),
inference(cnf_transformation,[],[f13967]) ).
fof(f14152,plain,
m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17))),
inference(cnf_transformation,[],[f13967]) ).
fof(f14153,plain,
v1_tex_2(sK18,k1_zfmisc_1(u1_struct_0(sK17))),
inference(cnf_transformation,[],[f13967]) ).
fof(f14154,plain,
v1_tsp_2(sK18,sK17),
inference(cnf_transformation,[],[f13967]) ).
fof(f14155,plain,
( v3_pre_topc(sK18,sK17)
| v4_pre_topc(sK18,sK17) ),
inference(cnf_transformation,[],[f13967]) ).
fof(f14459,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X1,X0)
| k3_tex_4(X0,X1) = X1
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f13786]) ).
fof(f14462,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X1,X0)
| k3_tex_4(X0,X1) = X1
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f13792]) ).
fof(f14625,plain,
! [X0,X1] :
( X0 != X1
| ~ v1_tex_2(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f14114]) ).
fof(f14703,plain,
! [X1] :
( ~ v1_tex_2(X1,k1_zfmisc_1(X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(X1)) ),
inference(equality_resolution,[],[f14625]) ).
fof(f14708,definition,
( spl93_1
<=> v4_pre_topc(sK18,sK17) ),
introduced(definition,[new_symbols(definition,[spl93_1])],[avatar_definition]) ).
fof(f14711,definition,
( spl93_2
<=> v3_pre_topc(sK18,sK17) ),
introduced(definition,[new_symbols(definition,[spl93_2])],[avatar_definition]) ).
fof(f14712,plain,
( v3_pre_topc(sK18,sK17)
| ~ spl93_2 ),
inference(avatar_component_clause,[],[f14711]) ).
fof(f14713,plain,
( spl93_1
| spl93_2 ),
inference(avatar_split_clause,[],[f14155,f14711,f14708]) ).
fof(f14736,plain,
( ~ v4_pre_topc(sK18,sK17)
| sK18 = k3_tex_4(sK17,sK18)
| v3_struct_0(sK17)
| ~ v2_pre_topc(sK17)
| ~ l1_pre_topc(sK17) ),
inference(resolution,[],[f14152,f14459]) ).
fof(f14737,plain,
( ~ v3_pre_topc(sK18,sK17)
| sK18 = k3_tex_4(sK17,sK18)
| v3_struct_0(sK17)
| ~ v2_pre_topc(sK17)
| ~ l1_pre_topc(sK17) ),
inference(resolution,[],[f14152,f14462]) ).
fof(f14816,plain,
( sK18 = k3_tex_4(sK17,sK18)
| v3_struct_0(sK17)
| ~ v2_pre_topc(sK17)
| ~ l1_pre_topc(sK17)
| ~ spl93_2 ),
inference(forward_subsumption_resolution,[],[f14737,f14712]) ).
fof(f14817,plain,
( ~ v4_pre_topc(sK18,sK17)
| sK18 = k3_tex_4(sK17,sK18)
| ~ v2_pre_topc(sK17)
| ~ l1_pre_topc(sK17) ),
inference(forward_subsumption_resolution,[],[f14736,f14151]) ).
fof(f14871,plain,
( sK18 = k3_tex_4(sK17,sK18)
| ~ v2_pre_topc(sK17)
| ~ l1_pre_topc(sK17)
| ~ spl93_2 ),
inference(forward_subsumption_resolution,[],[f14816,f14151]) ).
fof(f14872,plain,
( ~ v4_pre_topc(sK18,sK17)
| sK18 = k3_tex_4(sK17,sK18)
| ~ l1_pre_topc(sK17) ),
inference(forward_subsumption_resolution,[],[f14817,f14150]) ).
fof(f14925,plain,
( sK18 = k3_tex_4(sK17,sK18)
| ~ l1_pre_topc(sK17)
| ~ spl93_2 ),
inference(forward_subsumption_resolution,[],[f14871,f14150]) ).
fof(f14926,plain,
( ~ v4_pre_topc(sK18,sK17)
| sK18 = k3_tex_4(sK17,sK18) ),
inference(forward_subsumption_resolution,[],[f14872,f14149]) ).
fof(f14965,definition,
( spl93_29
<=> sK18 = u1_struct_0(sK17) ),
introduced(definition,[new_symbols(definition,[spl93_29])],[avatar_definition]) ).
fof(f14966,plain,
( sK18 = u1_struct_0(sK17)
| ~ spl93_29 ),
inference(avatar_component_clause,[],[f14965]) ).
fof(f14982,plain,
( sK18 = k3_tex_4(sK17,sK18)
| ~ spl93_2 ),
inference(forward_subsumption_resolution,[],[f14925,f14149]) ).
fof(f14984,definition,
( spl93_33
<=> sK18 = k3_tex_4(sK17,sK18) ),
introduced(definition,[new_symbols(definition,[spl93_33])],[avatar_definition]) ).
fof(f14985,plain,
( sK18 = k3_tex_4(sK17,sK18)
| ~ spl93_33 ),
inference(avatar_component_clause,[],[f14984]) ).
fof(f14986,plain,
( spl93_33
| ~ spl93_1 ),
inference(avatar_split_clause,[],[f14926,f14708,f14984]) ).
fof(f14999,plain,
( spl93_33
| ~ spl93_2 ),
inference(avatar_split_clause,[],[f14982,f14711,f14984]) ).
fof(f15403,plain,
( sK18 = u1_struct_0(sK17)
| ~ v1_tsp_2(sK18,sK17)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| v3_struct_0(sK17)
| ~ v2_pre_topc(sK17)
| ~ l1_pre_topc(sK17)
| ~ spl93_33 ),
inference(superposition,[],[f14145,f14985]) ).
fof(f15460,plain,
( sK18 = u1_struct_0(sK17)
| ~ m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK17)))
| v3_struct_0(sK17)
| ~ v2_pre_topc(sK17)
| ~ l1_pre_topc(sK17)
| ~ spl93_33 ),
inference(forward_subsumption_resolution,[],[f15403,f14154]) ).
fof(f15486,plain,
( sK18 = u1_struct_0(sK17)
| v3_struct_0(sK17)
| ~ v2_pre_topc(sK17)
| ~ l1_pre_topc(sK17)
| ~ spl93_33 ),
inference(forward_subsumption_resolution,[],[f15460,f14152]) ).
fof(f15512,plain,
( sK18 = u1_struct_0(sK17)
| ~ v2_pre_topc(sK17)
| ~ l1_pre_topc(sK17)
| ~ spl93_33 ),
inference(forward_subsumption_resolution,[],[f15486,f14151]) ).
fof(f15525,plain,
( sK18 = u1_struct_0(sK17)
| ~ l1_pre_topc(sK17)
| ~ spl93_33 ),
inference(forward_subsumption_resolution,[],[f15512,f14150]) ).
fof(f15531,plain,
( sK18 = u1_struct_0(sK17)
| ~ spl93_33 ),
inference(forward_subsumption_resolution,[],[f15525,f14149]) ).
fof(f15533,plain,
( spl93_29
| ~ spl93_33 ),
inference(avatar_split_clause,[],[f15531,f14984,f14965]) ).
fof(f15534,plain,
( m1_subset_1(sK18,k1_zfmisc_1(sK18))
| ~ spl93_29 ),
inference(superposition,[],[f14152,f14966]) ).
fof(f15535,plain,
( v1_tex_2(sK18,k1_zfmisc_1(sK18))
| ~ spl93_29 ),
inference(superposition,[],[f14153,f14966]) ).
fof(f16588,plain,
( ~ m1_subset_1(sK18,k1_zfmisc_1(sK18))
| ~ spl93_29 ),
inference(resolution,[],[f15535,f14703]) ).
fof(f16593,plain,
( $false
| ~ spl93_29 ),
inference(forward_subsumption_resolution,[],[f16588,f15534]) ).
fof(f16594,plain,
~ spl93_29,
inference(avatar_contradiction_clause,[],[f16593]) ).
cnf(s1,plain,
( spl93_1
| spl93_2 ),
inference(sat_conversion,[],[f14713]) ).
cnf(s33,plain,
( ~ spl93_1
| spl93_33 ),
inference(sat_conversion,[],[f14986]) ).
cnf(s38,plain,
( ~ spl93_2
| spl93_33 ),
inference(sat_conversion,[],[f14999]) ).
cnf(s79,plain,
( spl93_29
| ~ spl93_33 ),
inference(sat_conversion,[],[f15533]) ).
cnf(s113,plain,
~ spl93_29,
inference(sat_conversion,[],[f16594]) ).
cnf(s114,plain,
~ spl93_33,
inference(rat,[],[s79,s113]) ).
cnf(s117,plain,
~ spl93_2,
inference(rat,[],[s38,s114]) ).
cnf(s118,plain,
~ spl93_1,
inference(rat,[],[s33,s114]) ).
cnf(s134,plain,
$false,
inference(rat,[],[s1,s117,s118]) ).
fof(f16595,plain,
$false,
inference(avatar_sat_refutation,[],[s134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP025+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n019.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 18:51:06 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 8.96/2.63 % (107972)Detected formulas, will run a generic FOF schedule.
% 8.96/2.63 % (107982)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=394843871:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 8.96/2.63 % (107982)Instruction limit reached!
% 8.96/2.63 % (107982)------------------------------
% 8.96/2.63 % (107982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.63 % (107982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.63 % (107982)CaDiCaL version: 2.1.3
% 8.96/2.63 % (107982)Termination reason: Instruction limit
% 8.96/2.63 % (107982)Termination phase: Property scanning
% 8.96/2.63 % (107982)Time elapsed: 0.034 s
% 8.96/2.63 % (107982)Peak memory usage: 102 MB
% 8.96/2.63 % (107982)Instructions burned: 144 (million)
% 8.96/2.63 % (107977)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=2389834324:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 8.96/2.63 % (107979)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=3881037049:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 8.96/2.63 % (107981)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2731904910:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 8.96/2.63 % (107980)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2296495762:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 8.96/2.63 % (107978)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=2890768999:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 8.96/2.63 % (107983)dis-21_1_sil=8000:lcm=predicate:random_seed=53246247:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 8.96/2.63 % (107980)Refutation not found, incomplete strategy
% 8.96/2.63 % (107980)------------------------------
% 8.96/2.63 % (107980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.63 % (107980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.63 % (107980)CaDiCaL version: 2.1.3
% 8.96/2.63 % (107980)Termination reason: Refutation not found, incomplete strategy
% 8.96/2.63 % (107980)Time elapsed: 0.081 s
% 8.96/2.63 % (107980)Peak memory usage: 107 MB
% 8.96/2.63 % (107980)Instructions burned: 104 (million)
% 8.96/2.63 % (107981)Instruction limit reached!
% 8.96/2.63 % (107981)------------------------------
% 8.96/2.63 % (107981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.63 % (107981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.63 % (107981)CaDiCaL version: 2.1.3
% 8.96/2.63 % (107981)Termination reason: Instruction limit
% 8.96/2.63 % (107981)Termination phase: Preprocessing 3
% 8.96/2.63 % (107981)Time elapsed: 0.099 s
% 8.96/2.63 % (107981)Peak memory usage: 106 MB
% 8.96/2.63 % (107981)Instructions burned: 120 (million)
% 8.96/2.63 % (107983)Instruction limit reached!
% 8.96/2.63 % (107983)------------------------------
% 8.96/2.63 % (107983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.63 % (107983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.63 % (107983)CaDiCaL version: 2.1.3
% 8.96/2.63 % (107983)Termination reason: Instruction limit
% 8.96/2.63 % (107983)Termination phase: Preprocessing 1
% 8.96/2.63 % (107983)Time elapsed: 0.099 s
% 8.96/2.63 % (107983)Peak memory usage: 103 MB
% 8.96/2.63 % (107983)Instructions burned: 129 (million)
% 8.96/2.63 % (107985)lrs+10_1_sil=8000:sp=occurrence:random_seed=2640598504:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 8.96/2.63 % (107985)Instruction limit reached!
% 8.96/2.63 % (107985)------------------------------
% 8.96/2.63 % (107985)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.63 % (107985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.63 % (107985)CaDiCaL version: 2.1.3
% 8.96/2.63 % (107985)Termination reason: Instruction limit
% 8.96/2.63 % (107985)Termination phase: Saturation
% 8.96/2.63 % (107985)Time elapsed: 0.102 s
% 8.96/2.63 % (107985)Peak memory usage: 110 MB
% 8.96/2.63 % (107985)Instructions burned: 286 (million)
% 8.96/2.63 % (107992)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2135037763:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 8.96/2.63 % (107994)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1253407397:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 8.96/2.63 % (107980)------------------------------
% 8.96/2.63 % (107980)------------------------------
% 8.96/2.63 % (107992)Instruction limit reached!
% 8.96/2.63 % (107992)------------------------------
% 8.96/2.63 % (107992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.63 % (107992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.63 % (107992)CaDiCaL version: 2.1.3
% 8.96/2.63 % (107992)Termination reason: Instruction limit
% 8.96/2.63 % (107992)Termination phase: Property scanning
% 8.96/2.63 % (107992)Time elapsed: 0.067 s
% 8.96/2.63 % (107992)Peak memory usage: 102 MB
% 8.96/2.63 % (107992)Instructions burned: 158 (million)
% 8.96/2.63 % (107995)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2248900255:s2a=on:i=248:s2at=1.23:gtg=position_2989 on theBenchmark for (2989ds/248Mi)
% 8.96/2.63 % (107995)Instruction limit reached!
% 8.96/2.63 % (107995)------------------------------
% 8.96/2.63 % (107995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.63 % (107995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.63 % (107995)CaDiCaL version: 2.1.3
% 8.96/2.63 % (107995)Termination reason: Instruction limit
% 8.96/2.63 % (107995)Termination phase: SInE selection
% 8.96/2.63 % (107995)Time elapsed: 0.071 s
% 8.96/2.63 % (107995)Peak memory usage: 103 MB
% 8.96/2.63 % (107995)Instructions burned: 249 (million)
% 8.96/2.63 % (107998)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3950015481:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2988 on theBenchmark for (2988ds/294Mi)
% 8.96/2.63 % (107994)Instruction limit reached!
% 8.96/2.63 % (107994)------------------------------
% 8.96/2.63 % (107994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.63 % (107994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.63 % (107994)CaDiCaL version: 2.1.3
% 8.96/2.63 % (107994)Termination reason: Instruction limit
% 8.96/2.63 % (107994)Termination phase: Saturation
% 8.96/2.63 % (107994)Time elapsed: 0.224 s
% 8.96/2.63 % (107994)Peak memory usage: 109 MB
% 8.96/2.63 % (107994)Instructions burned: 326 (million)
% 8.96/2.63 % (107999)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2722107343:i=2350_2988 on theBenchmark for (2988ds/2350Mi)
% 8.96/2.63 % (108001)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2408719725:cts=off:i=113:fsr=off:ss=included:sgt=4_2987 on theBenchmark for (2987ds/113Mi)
% 8.96/2.63 % (108001)Instruction limit reached!
% 8.96/2.63 % (108001)------------------------------
% 8.96/2.63 % (108001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.63 % (108001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.63 % (108001)CaDiCaL version: 2.1.3
% 8.96/2.63 % (108001)Termination reason: Instruction limit
% 8.96/2.63 % (108001)Termination phase: Preprocessing 3
% 8.96/2.63 % (108001)Time elapsed: 0.054 s
% 8.96/2.63 % (108001)Peak memory usage: 105 MB
% 8.96/2.63 % (108001)Instructions burned: 113 (million)
% 8.96/2.63 % (108004)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1784058440:i=127:av=off:fsr=off:sup=off_2986 on theBenchmark for (2986ds/127Mi)
% 8.96/2.63 % (107998)Instruction limit reached!
% 8.96/2.63 % (107998)------------------------------
% 8.96/2.63 % (107998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.63 % (107998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.63 % (107998)CaDiCaL version: 2.1.3
% 8.96/2.63 % (107998)Termination reason: Instruction limit
% 8.96/2.63 % (107998)Termination phase: Saturation
% 8.96/2.63 % (107998)Time elapsed: 0.187 s
% 8.96/2.63 % (107998)Peak memory usage: 110 MB
% 8.96/2.63 % (107998)Instructions burned: 295 (million)
% 8.96/2.63 % (108006)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=209222681:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 8.96/2.63 % (108006)Instruction limit reached!
% 8.96/2.63 % (108006)------------------------------
% 8.96/2.63 % (108006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.63 % (108006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.63 % (108006)CaDiCaL version: 2.1.3
% 8.96/2.63 % (108006)Termination reason: Instruction limit
% 8.96/2.63 % (108006)Termination phase: Property scanning
% 8.96/2.63 % (108006)Time elapsed: 0.027 s
% 8.96/2.63 % (108006)Peak memory usage: 102 MB
% 8.96/2.63 % (108006)Instructions burned: 117 (million)
% 8.96/2.63 % (108004)Instruction limit reached!
% 8.96/2.63 % (108004)------------------------------
% 8.96/2.63 % (108004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.96/2.63 % (108004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.96/2.63 % (108004)CaDiCaL version: 2.1.3
% 8.96/2.63 % (108004)Termination reason: Instruction limit
% 8.96/2.63 % (108004)Termination phase: Preprocessing 2
% 8.96/2.63 % (108004)Time elapsed: 0.102 s
% 8.96/2.63 % (108004)Peak memory usage: 106 MB
% 8.96/2.63 % (108004)Instructions burned: 128 (million)
% 8.96/2.63 % (108008)lrs+10_1_sil=8000:sp=occurrence:random_seed=2251173738:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2984 on theBenchmark for (2984ds/907Mi)
% 8.96/2.63 % (108010)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2421363:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 8.96/2.63 % (108010)First to succeed.
% 8.96/2.63 % (108010)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-107972"
% 8.96/2.63 % (108011)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4058763276:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 8.96/2.63 % (108010)Refutation found. Thanks to Tanya!
% 8.96/2.63 % SZS status Theorem for theBenchmark
% 8.96/2.63 % SZS output start Proof for theBenchmark
% See solution above
% 10.26/2.72 % (108010)------------------------------
% 10.26/2.72 % (108010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.26/2.72 % (108010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.26/2.72 % (108010)CaDiCaL version: 2.1.3
% 10.26/2.72 % (108010)Termination reason: Refutation
% 10.26/2.72 % (108010)Time elapsed: 0.067 s
% 10.26/2.72 % (108010)Peak memory usage: 109 MB
% 10.26/2.72 % (108010)Instructions burned: 171 (million)
% 10.26/2.72 % (108010)------------------------------
% 10.26/2.72 % (108010)------------------------------
% 10.26/2.72 % (107972)Success in time 1.944 s
% 10.26/2.72 % Vampire exiting
%------------------------------------------------------------------------------