%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG226+4 : TPTP v9.3.1. Released v3.4.0.
% 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 09:19:28 AM UTC 2026
% Result : Theorem 5.28s 2.60s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 10
% Syntax : Number of formulae : 66 ( 24 unt; 5 def)
% Number of atoms : 181 ( 37 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 183 ( 68 ~; 66 |; 30 &)
% ( 8 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 44 ( 0 sgn 38 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5328,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_card_1) ).
fof(f8088,axiom,
! [X0] : k1_pboole(X0) = k2_funcop_1(X0,k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_pboole) ).
fof(f8280,axiom,
! [X0,X1,X2] :
( ( m1_pboole(X1,X0)
& m1_pboole(X2,X0) )
=> ( r6_pboole(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r6_pboole) ).
fof(f42810,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( v2_relat_1(X1)
& m1_pboole(X1,X0) )
=> X1 = k1_funct_4(k1_pboole(X0),k7_relat_1(X1,k1_closure3(X0,X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_closure3) ).
fof(f42811,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( v2_relat_1(X1)
& m1_pboole(X1,X0) )
=> ! [X2] :
( ( v2_relat_1(X2)
& m1_pboole(X2,X0) )
=> ( ( k1_closure3(X0,X1) = k1_closure3(X0,X2)
& k7_relat_1(X1,k1_closure3(X0,X1)) = k7_relat_1(X2,k1_closure3(X0,X2)) )
=> r6_pboole(X0,X1,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_closure3) ).
fof(f42812,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( ( v2_relat_1(X1)
& m1_pboole(X1,X0) )
=> ! [X2] :
( ( v2_relat_1(X2)
& m1_pboole(X2,X0) )
=> ( ( k1_closure3(X0,X1) = k1_closure3(X0,X2)
& k7_relat_1(X1,k1_closure3(X0,X1)) = k7_relat_1(X2,k1_closure3(X0,X2)) )
=> r6_pboole(X0,X1,X2) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f42811]) ).
fof(f42890,plain,
! [X0] :
( ! [X1] :
( X1 = k1_funct_4(k1_pboole(X0),k7_relat_1(X1,k1_closure3(X0,X1)))
| ~ v2_relat_1(X1)
| ~ m1_pboole(X1,X0) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f42810]) ).
fof(f42891,plain,
! [X0] :
( ! [X1] :
( X1 = k1_funct_4(k1_pboole(X0),k7_relat_1(X1,k1_closure3(X0,X1)))
| ~ v2_relat_1(X1)
| ~ m1_pboole(X1,X0) )
| v1_xboole_0(X0) ),
inference(flattening,[],[f42890]) ).
fof(f42892,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r6_pboole(X0,X1,X2)
& k1_closure3(X0,X1) = k1_closure3(X0,X2)
& k7_relat_1(X1,k1_closure3(X0,X1)) = k7_relat_1(X2,k1_closure3(X0,X2))
& v2_relat_1(X2)
& m1_pboole(X2,X0) )
& v2_relat_1(X1)
& m1_pboole(X1,X0) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f42812]) ).
fof(f42893,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r6_pboole(X0,X1,X2)
& k1_closure3(X0,X1) = k1_closure3(X0,X2)
& k7_relat_1(X1,k1_closure3(X0,X1)) = k7_relat_1(X2,k1_closure3(X0,X2))
& v2_relat_1(X2)
& m1_pboole(X2,X0) )
& v2_relat_1(X1)
& m1_pboole(X1,X0) )
& ~ v1_xboole_0(X0) ),
inference(flattening,[],[f42892]) ).
fof(f43318,plain,
! [X0,X1,X2] :
( ( r6_pboole(X0,X1,X2)
<=> X1 = X2 )
| ~ m1_pboole(X1,X0)
| ~ m1_pboole(X2,X0) ),
inference(ennf_transformation,[],[f8280]) ).
fof(f43319,plain,
! [X0,X1,X2] :
( ( r6_pboole(X0,X1,X2)
<=> X1 = X2 )
| ~ m1_pboole(X1,X0)
| ~ m1_pboole(X2,X0) ),
inference(flattening,[],[f43318]) ).
fof(f43473,plain,
( ~ r6_pboole(sK7,sK8,sK9)
& k1_closure3(sK7,sK8) = k1_closure3(sK7,sK9)
& k7_relat_1(sK8,k1_closure3(sK7,sK8)) = k7_relat_1(sK9,k1_closure3(sK7,sK9))
& v2_relat_1(sK9)
& m1_pboole(sK9,sK7)
& v2_relat_1(sK8)
& m1_pboole(sK8,sK7)
& ~ v1_xboole_0(sK7) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X0,sK7),skolemize(X1,sK8),skolemize(X2,sK9)],[f42893]) ).
fof(f43610,plain,
! [X0,X1,X2] :
( ( ( r6_pboole(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r6_pboole(X0,X1,X2) ) )
| ~ m1_pboole(X1,X0)
| ~ m1_pboole(X2,X0) ),
inference(nnf_transformation,[],[f43319]) ).
fof(f43672,plain,
! [X0,X1] :
( k1_funct_4(k1_pboole(X0),k7_relat_1(X1,k1_closure3(X0,X1))) = X1
| ~ v2_relat_1(X1)
| ~ m1_pboole(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f42891]) ).
fof(f43673,plain,
~ v1_xboole_0(sK7),
inference(cnf_transformation,[],[f43473]) ).
fof(f43674,plain,
m1_pboole(sK8,sK7),
inference(cnf_transformation,[],[f43473]) ).
fof(f43675,plain,
v2_relat_1(sK8),
inference(cnf_transformation,[],[f43473]) ).
fof(f43676,plain,
m1_pboole(sK9,sK7),
inference(cnf_transformation,[],[f43473]) ).
fof(f43677,plain,
v2_relat_1(sK9),
inference(cnf_transformation,[],[f43473]) ).
fof(f43678,plain,
k7_relat_1(sK8,k1_closure3(sK7,sK8)) = k7_relat_1(sK9,k1_closure3(sK7,sK9)),
inference(cnf_transformation,[],[f43473]) ).
fof(f43680,plain,
~ r6_pboole(sK7,sK8,sK9),
inference(cnf_transformation,[],[f43473]) ).
fof(f43705,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f5328]) ).
fof(f44219,plain,
! [X2,X0,X1] :
( r6_pboole(X0,X1,X2)
| X1 != X2
| ~ m1_pboole(X1,X0)
| ~ m1_pboole(X2,X0) ),
inference(cnf_transformation,[],[f43610]) ).
fof(f44349,plain,
! [X0] : k1_pboole(X0) = k2_funcop_1(X0,k1_xboole_0),
inference(cnf_transformation,[],[f8088]) ).
fof(f44353,plain,
! [X0] : k1_pboole(X0) = k2_funcop_1(X0,np__0),
inference(definition_unfolding,[],[f44349,f43705]) ).
fof(f44358,plain,
! [X0,X1] :
( k1_funct_4(k2_funcop_1(X0,np__0),k7_relat_1(X1,k1_closure3(X0,X1))) = X1
| ~ v2_relat_1(X1)
| ~ m1_pboole(X1,X0)
| v1_xboole_0(X0) ),
inference(definition_unfolding,[],[f43672,f44353]) ).
fof(f44536,plain,
! [X2,X0] :
( r6_pboole(X0,X2,X2)
| ~ m1_pboole(X2,X0)
| ~ m1_pboole(X2,X0) ),
inference(equality_resolution,[],[f44219]) ).
fof(f44685,plain,
! [X2,X0] :
( r6_pboole(X0,X2,X2)
| ~ m1_pboole(X2,X0) ),
inference(duplicate_literal_removal,[],[f44536]) ).
fof(f44687,definition,
( spl162_1
<=> v1_xboole_0(sK7) ),
introduced(definition,[new_symbols(definition,[spl162_1])],[avatar_definition]) ).
fof(f44689,plain,
( ~ v1_xboole_0(sK7)
| spl162_1 ),
inference(avatar_component_clause,[],[f44687]) ).
fof(f44690,plain,
~ spl162_1,
inference(avatar_split_clause,[],[f43673,f44687]) ).
fof(f44692,definition,
( spl162_2
<=> r6_pboole(sK7,sK8,sK9) ),
introduced(definition,[new_symbols(definition,[spl162_2])],[avatar_definition]) ).
fof(f44694,plain,
( ~ r6_pboole(sK7,sK8,sK9)
| spl162_2 ),
inference(avatar_component_clause,[],[f44692]) ).
fof(f44695,plain,
~ spl162_2,
inference(avatar_split_clause,[],[f43680,f44692]) ).
fof(f44759,definition,
( spl162_3
<=> m1_pboole(sK8,sK7) ),
introduced(definition,[new_symbols(definition,[spl162_3])],[avatar_definition]) ).
fof(f44761,plain,
( m1_pboole(sK8,sK7)
| ~ spl162_3 ),
inference(avatar_component_clause,[],[f44759]) ).
fof(f44762,plain,
spl162_3,
inference(avatar_split_clause,[],[f43674,f44759]) ).
fof(f44870,plain,
( sK8 = k1_funct_4(k2_funcop_1(sK7,np__0),k7_relat_1(sK8,k1_closure3(sK7,sK8)))
| ~ v2_relat_1(sK8)
| v1_xboole_0(sK7)
| ~ spl162_3 ),
inference(resolution,[],[f44761,f44358]) ).
fof(f44962,plain,
( r6_pboole(sK7,sK8,sK8)
| ~ spl162_3 ),
inference(resolution,[],[f44761,f44685]) ).
fof(f44974,plain,
( sK8 = k1_funct_4(k2_funcop_1(sK7,np__0),k7_relat_1(sK8,k1_closure3(sK7,sK8)))
| v1_xboole_0(sK7)
| ~ spl162_3 ),
inference(forward_subsumption_resolution,[],[f44870,f43675]) ).
fof(f44996,plain,
( sK8 = k1_funct_4(k2_funcop_1(sK7,np__0),k7_relat_1(sK8,k1_closure3(sK7,sK8)))
| spl162_1
| ~ spl162_3 ),
inference(forward_subsumption_resolution,[],[f44974,f44689]) ).
fof(f45008,definition,
( spl162_4
<=> m1_pboole(sK9,sK7) ),
introduced(definition,[new_symbols(definition,[spl162_4])],[avatar_definition]) ).
fof(f45010,plain,
( m1_pboole(sK9,sK7)
| ~ spl162_4 ),
inference(avatar_component_clause,[],[f45008]) ).
fof(f45011,plain,
spl162_4,
inference(avatar_split_clause,[],[f43676,f45008]) ).
fof(f45119,plain,
( sK9 = k1_funct_4(k2_funcop_1(sK7,np__0),k7_relat_1(sK9,k1_closure3(sK7,sK9)))
| ~ v2_relat_1(sK9)
| v1_xboole_0(sK7)
| ~ spl162_4 ),
inference(resolution,[],[f45010,f44358]) ).
fof(f45223,plain,
( sK9 = k1_funct_4(k2_funcop_1(sK7,np__0),k7_relat_1(sK9,k1_closure3(sK7,sK9)))
| v1_xboole_0(sK7)
| ~ spl162_4 ),
inference(forward_subsumption_resolution,[],[f45119,f43677]) ).
fof(f45246,plain,
( sK9 = k1_funct_4(k2_funcop_1(sK7,np__0),k7_relat_1(sK9,k1_closure3(sK7,sK9)))
| spl162_1
| ~ spl162_4 ),
inference(forward_subsumption_resolution,[],[f45223,f44689]) ).
fof(f45254,plain,
( sK9 = k1_funct_4(k2_funcop_1(sK7,np__0),k7_relat_1(sK8,k1_closure3(sK7,sK8)))
| spl162_1
| ~ spl162_4 ),
inference(forward_demodulation,[],[f45246,f43678]) ).
fof(f45255,plain,
( sK8 = sK9
| spl162_1
| ~ spl162_3
| ~ spl162_4 ),
inference(forward_demodulation,[],[f45254,f44996]) ).
fof(f45263,definition,
( spl162_6
<=> sK8 = sK9 ),
introduced(definition,[new_symbols(definition,[spl162_6])],[avatar_definition]) ).
fof(f45265,plain,
( sK8 = sK9
| ~ spl162_6 ),
inference(avatar_component_clause,[],[f45263]) ).
fof(f45266,plain,
( spl162_6
| spl162_1
| ~ spl162_3
| ~ spl162_4 ),
inference(avatar_split_clause,[],[f45255,f45008,f44759,f44687,f45263]) ).
fof(f45268,plain,
( ~ r6_pboole(sK7,sK8,sK8)
| spl162_2
| ~ spl162_6 ),
inference(superposition,[],[f44694,f45265]) ).
fof(f45269,plain,
( $false
| spl162_2
| ~ spl162_3
| ~ spl162_6 ),
inference(forward_subsumption_resolution,[],[f45268,f44962]) ).
fof(f45270,plain,
( spl162_2
| ~ spl162_3
| ~ spl162_6 ),
inference(avatar_contradiction_clause,[],[f45269]) ).
cnf(s1,plain,
~ spl162_1,
inference(sat_conversion,[],[f44690]) ).
cnf(s2,plain,
~ spl162_2,
inference(sat_conversion,[],[f44695]) ).
cnf(s3,plain,
spl162_3,
inference(sat_conversion,[],[f44762]) ).
cnf(s4,plain,
spl162_4,
inference(sat_conversion,[],[f45011]) ).
cnf(s6,plain,
( spl162_1
| ~ spl162_3
| ~ spl162_4
| spl162_6 ),
inference(sat_conversion,[],[f45266]) ).
cnf(s7,plain,
( spl162_2
| ~ spl162_3
| ~ spl162_6 ),
inference(sat_conversion,[],[f45270]) ).
cnf(s8,plain,
~ spl162_6,
inference(rat,[],[s7,s3,s2]) ).
cnf(s9,plain,
spl162_1,
inference(rat,[],[s6,s3,s4,s8]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s1,s9]) ).
fof(f45271,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : ALG226+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % 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 19:51:12 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 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
% 5.28/2.60 % (3677748)Detected formulas, will run a generic FOF schedule.
% 5.28/2.60 % (3677753)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=2472222078:i=141193_2988 on theBenchmark for (2988ds/141193Mi)
% 5.28/2.60 % (3677755)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=3849564669:i=141695:sd=1:nm=32:gsp=on:ss=included_2988 on theBenchmark for (2988ds/141695Mi)
% 5.28/2.60 % (3677756)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=156765595:i=109:sd=1:ins=1:gsp=on:ss=axioms_2988 on theBenchmark for (2988ds/109Mi)
% 5.28/2.60 % (3677754)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=1094412788:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2988 on theBenchmark for (2988ds/134677Mi)
% 5.28/2.60 % (3677757)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2152874786:i=119:av=off:ss=axioms_2988 on theBenchmark for (2988ds/119Mi)
% 5.28/2.60 % (3677758)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3550987798:s2a=on:i=139:gtg=position_2988 on theBenchmark for (2988ds/139Mi)
% 5.28/2.60 % (3677759)dis-21_1_sil=8000:lcm=predicate:random_seed=632898910:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2988 on theBenchmark for (2988ds/129Mi)
% 5.28/2.60 % (3677756)Instruction limit reached!
% 5.28/2.60 % (3677756)------------------------------
% 5.28/2.60 % (3677756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.60 % (3677756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.60 % (3677756)CaDiCaL version: 2.1.3
% 5.28/2.60 % (3677756)Termination reason: Instruction limit
% 5.28/2.60 % (3677756)Termination phase: SInE selection
% 5.28/2.60 % (3677756)Time elapsed: 0.044 s
% 5.28/2.60 % (3677756)Peak memory usage: 148 MB
% 5.28/2.60 % (3677756)Instructions burned: 110 (million)
% 5.28/2.60 % (3677758)Instruction limit reached!
% 5.28/2.60 % (3677758)------------------------------
% 5.28/2.60 % (3677758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.60 % (3677758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.60 % (3677758)CaDiCaL version: 2.1.3
% 5.28/2.60 % (3677758)Termination reason: Instruction limit
% 5.28/2.60 % (3677758)Termination phase: Property scanning
% 5.28/2.60 % (3677758)Time elapsed: 0.035 s
% 5.28/2.60 % (3677758)Peak memory usage: 149 MB
% 5.28/2.60 % (3677758)Instructions burned: 140 (million)
% 5.28/2.60 % (3677757)Instruction limit reached!
% 5.28/2.60 % (3677757)------------------------------
% 5.28/2.60 % (3677757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.60 % (3677757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.60 % (3677757)CaDiCaL version: 2.1.3
% 5.28/2.60 % (3677757)Termination reason: Instruction limit
% 5.28/2.60 % (3677757)Termination phase: SInE selection
% 5.28/2.60 % (3677757)Time elapsed: 0.052 s
% 5.28/2.60 % (3677757)Peak memory usage: 148 MB
% 5.28/2.60 % (3677757)Instructions burned: 121 (million)
% 5.28/2.60 % (3677759)Instruction limit reached!
% 5.28/2.60 % (3677759)------------------------------
% 5.28/2.60 % (3677759)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.60 % (3677759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.60 % (3677759)CaDiCaL version: 2.1.3
% 5.28/2.60 % (3677759)Termination reason: Instruction limit
% 5.28/2.60 % (3677759)Termination phase: SInE selection
% 5.28/2.60 % (3677759)Time elapsed: 0.057 s
% 5.28/2.60 % (3677759)Peak memory usage: 148 MB
% 5.28/2.60 % (3677759)Instructions burned: 130 (million)
% 5.28/2.60 % (3677767)lrs+10_1_sil=8000:sp=occurrence:random_seed=636384616:i=285:sd=3:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/285Mi)
% 5.28/2.60 % (3677768)lrs+10_1_sil=32000:urr=on:br=off:random_seed=394397510:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2986 on theBenchmark for (2986ds/157Mi)
% 5.28/2.60 % (3677770)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=1571589700:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 5.28/2.60 % (3677769)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3353625879:i=325:sd=1:ss=axioms:sgt=32_2986 on theBenchmark for (2986ds/325Mi)
% 5.28/2.60 % (3677768)Instruction limit reached!
% 5.28/2.60 % (3677768)------------------------------
% 5.28/2.60 % (3677768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.60 % (3677768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.60 % (3677768)CaDiCaL version: 2.1.3
% 5.28/2.60 % (3677768)Termination reason: Instruction limit
% 5.28/2.60 % (3677768)Termination phase: Property scanning
% 5.28/2.60 % (3677768)Time elapsed: 0.040 s
% 5.28/2.60 % (3677768)Peak memory usage: 149 MB
% 5.28/2.60 % (3677768)Instructions burned: 161 (million)
% 5.28/2.60 % (3677770)Instruction limit reached!
% 5.28/2.60 % (3677770)------------------------------
% 5.28/2.60 % (3677770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.60 % (3677770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.60 % (3677770)CaDiCaL version: 2.1.3
% 5.28/2.60 % (3677770)Termination reason: Instruction limit
% 5.28/2.60 % (3677770)Termination phase: Property scanning
% 5.28/2.60 % (3677770)Time elapsed: 0.062 s
% 5.28/2.60 % (3677770)Peak memory usage: 148 MB
% 5.28/2.60 % (3677770)Instructions burned: 252 (million)
% 5.28/2.60 % (3677767)Instruction limit reached!
% 5.28/2.60 % (3677767)------------------------------
% 5.28/2.60 % (3677767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.60 % (3677767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.60 % (3677767)CaDiCaL version: 2.1.3
% 5.28/2.60 % (3677767)Termination reason: Instruction limit
% 5.28/2.60 % (3677767)Termination phase: SInE selection
% 5.28/2.60 % (3677767)Time elapsed: 0.128 s
% 5.28/2.60 % (3677767)Peak memory usage: 149 MB
% 5.28/2.60 % (3677767)Instructions burned: 287 (million)
% 5.28/2.60 % (3677775)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1392375603:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2984 on theBenchmark for (2984ds/294Mi)
% 5.28/2.60 % (3677769)Instruction limit reached!
% 5.28/2.60 % (3677769)------------------------------
% 5.28/2.60 % (3677769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.60 % (3677769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.60 % (3677769)CaDiCaL version: 2.1.3
% 5.28/2.60 % (3677769)Termination reason: Instruction limit
% 5.28/2.60 % (3677769)Termination phase: Saturation
% 5.28/2.60 % (3677769)Time elapsed: 0.163 s
% 5.28/2.60 % (3677769)Peak memory usage: 155 MB
% 5.28/2.60 % (3677769)Instructions burned: 325 (million)
% 5.28/2.60 % (3677776)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1253732299:i=2350_2984 on theBenchmark for (2984ds/2350Mi)
% 5.28/2.60 % (3677777)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3363570003:cts=off:i=113:fsr=off:ss=included:sgt=4_2984 on theBenchmark for (2984ds/113Mi)
% 5.28/2.60 % (3677775)Instruction limit reached!
% 5.28/2.60 % (3677775)------------------------------
% 5.28/2.60 % (3677775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.60 % (3677775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.60 % (3677775)CaDiCaL version: 2.1.3
% 5.28/2.60 % (3677775)Termination reason: Instruction limit
% 5.28/2.60 % (3677775)Termination phase: SInE selection
% 5.28/2.60 % (3677775)Time elapsed: 0.115 s
% 5.28/2.60 % (3677775)Peak memory usage: 149 MB
% 5.28/2.60 % (3677775)Instructions burned: 295 (million)
% 5.28/2.60 % (3677777)Instruction limit reached!
% 5.28/2.60 % (3677777)------------------------------
% 5.28/2.60 % (3677777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.60 % (3677777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.60 % (3677777)CaDiCaL version: 2.1.3
% 5.28/2.60 % (3677777)Termination reason: Instruction limit
% 5.28/2.60 % (3677777)Termination phase: SInE selection
% 5.28/2.60 % (3677777)Time elapsed: 0.054 s
% 5.28/2.60 % (3677777)Peak memory usage: 149 MB
% 5.28/2.60 % (3677777)Instructions burned: 114 (million)
% 5.28/2.60 % (3677779)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=288573402:i=127:av=off:fsr=off:sup=off_2983 on theBenchmark for (2983ds/127Mi)
% 5.28/2.60 % (3677779)Instruction limit reached!
% 5.28/2.60 % (3677779)------------------------------
% 5.28/2.60 % (3677779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.60 % (3677779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.60 % (3677779)CaDiCaL version: 2.1.3
% 5.28/2.60 % (3677779)Termination reason: Instruction limit
% 5.28/2.60 % (3677779)Termination phase: Preprocessing 1
% 5.28/2.60 % (3677779)Time elapsed: 0.058 s
% 5.28/2.60 % (3677779)Peak memory usage: 150 MB
% 5.28/2.60 % (3677779)Instructions burned: 128 (million)
% 5.28/2.60 % (3677782)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1543194101:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2982 on theBenchmark for (2982ds/114Mi)
% 5.28/2.60 % (3677783)lrs+10_1_sil=8000:sp=occurrence:random_seed=96383135:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2982 on theBenchmark for (2982ds/907Mi)
% 5.28/2.60 % (3677782)Instruction limit reached!
% 5.28/2.60 % (3677782)------------------------------
% 5.28/2.60 % (3677782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.60 % (3677782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.60 % (3677782)CaDiCaL version: 2.1.3
% 5.28/2.60 % (3677782)Termination reason: Instruction limit
% 5.28/2.60 % (3677782)Termination phase: Property scanning
% 5.28/2.60 % (3677782)Time elapsed: 0.031 s
% 5.28/2.60 % (3677782)Peak memory usage: 149 MB
% 5.28/2.60 % (3677782)Instructions burned: 116 (million)
% 5.28/2.60 % (3677785)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3066151434:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 5.28/2.60 % (3677788)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=665244367:i=5202:ss=axioms:sgt=16_2980 on theBenchmark for (2980ds/5202Mi)
% 5.28/2.60 % (3677755)First to succeed.
% 5.28/2.60 % (3677755)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3677748"
% 5.28/2.60 % (3677785)Instruction limit reached!
% 5.28/2.60 % (3677785)------------------------------
% 5.28/2.60 % (3677785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.28/2.60 % (3677785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.28/2.60 % (3677785)CaDiCaL version: 2.1.3
% 5.28/2.60 % (3677785)Termination reason: Instruction limit
% 5.28/2.60 % (3677785)Termination phase: Saturation
% 5.28/2.60 % (3677785)Time elapsed: 0.196 s
% 5.28/2.60 % (3677785)Peak memory usage: 156 MB
% 5.28/2.60 % (3677785)Instructions burned: 439 (million)
% 5.28/2.60 % (3677755)Refutation found. Thanks to Tanya!
% 5.28/2.60 % SZS status Theorem for theBenchmark
% 5.28/2.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/2.70 % (3677755)------------------------------
% 0.09/2.70 % (3677755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.09/2.70 % (3677755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/2.70 % (3677755)CaDiCaL version: 2.1.3
% 0.09/2.70 % (3677755)Termination reason: Refutation
% 0.09/2.70 % (3677755)Time elapsed: 0.805 s
% 0.09/2.70 % (3677755)Peak memory usage: 225 MB
% 0.09/2.70 % (3677755)Instructions burned: 2082 (million)
% 0.09/2.70 % (3677755)------------------------------
% 0.09/2.70 % (3677755)------------------------------
% 0.09/2.70 % (3677748)Success in time 2.279 s
% 0.09/2.70 % Vampire exiting
%------------------------------------------------------------------------------