%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG227+2 : 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 : n011.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 7.98s 2.10s
% Output : Refutation 7.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 57 ( 17 unt; 5 def)
% Number of atoms : 189 ( 49 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 215 ( 83 ~; 82 |; 29 &)
% ( 10 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 64 ( 0 sgn 53 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4703,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_pboole(X2,X1) )
=> ( r2_hidden(X0,a_2_0_closure3(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,X1)
& X0 = X3
& k1_funct_1(X2,X3) != k1_xboole_0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_closure3) ).
fof(f4728,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( X2 = k1_closure3(X0,X1)
<=> X2 = a_2_0_closure3(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_closure3) ).
fof(f4731,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ( ~ r2_hidden(X2,k1_closure3(X0,X1))
=> k1_funct_1(X1,X2) = k1_xboole_0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_closure3) ).
fof(f4732,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_pboole(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,X0)
=> ( ~ r2_hidden(X2,k1_closure3(X0,X1))
=> k1_funct_1(X1,X2) = k1_xboole_0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f4731]) ).
fof(f4765,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,X1)
& X0 = X3
& k1_funct_1(X2,X3) != k1_xboole_0 ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(ennf_transformation,[],[f4703]) ).
fof(f4766,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
<=> ? [X3] :
( m1_subset_1(X3,X1)
& X0 = X3
& k1_funct_1(X2,X3) != k1_xboole_0 ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(flattening,[],[f4765]) ).
fof(f4806,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k1_closure3(X0,X1)
<=> X2 = a_2_0_closure3(X0,X1) )
| ~ m1_pboole(X1,X0) )
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f4728]) ).
fof(f4811,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_xboole_0 != k1_funct_1(X1,X2)
& ~ r2_hidden(X2,k1_closure3(X0,X1))
& m1_subset_1(X2,X0) )
& m1_pboole(X1,X0) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f4732]) ).
fof(f4812,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_xboole_0 != k1_funct_1(X1,X2)
& ~ r2_hidden(X2,k1_closure3(X0,X1))
& m1_subset_1(X2,X0) )
& m1_pboole(X1,X0) )
& ~ v1_xboole_0(X0) ),
inference(flattening,[],[f4811]) ).
fof(f5183,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| X0 != X3
| k1_xboole_0 = k1_funct_1(X2,X3) ) )
& ( ? [X3] :
( m1_subset_1(X3,X1)
& X0 = X3
& k1_funct_1(X2,X3) != k1_xboole_0 )
| ~ r2_hidden(X0,a_2_0_closure3(X1,X2)) ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(nnf_transformation,[],[f4766]) ).
fof(f5184,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| X0 != X3
| k1_xboole_0 = k1_funct_1(X2,X3) ) )
& ( ? [X4] :
( m1_subset_1(X4,X1)
& X0 = X4
& k1_xboole_0 != k1_funct_1(X2,X4) )
| ~ r2_hidden(X0,a_2_0_closure3(X1,X2)) ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(rectify,[],[f5183]) ).
fof(f5185,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_closure3(X1,X2))
| ! [X3] :
( ~ m1_subset_1(X3,X1)
| X0 != X3
| k1_xboole_0 = k1_funct_1(X2,X3) ) )
& ( ( m1_subset_1(sK0(X0,X1,X2),X1)
& sK0(X0,X1,X2) = X0
& k1_xboole_0 != k1_funct_1(X2,sK0(X0,X1,X2)) )
| ~ r2_hidden(X0,a_2_0_closure3(X1,X2)) ) )
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X4,sK0(X0,X1,X2))],[f5184]) ).
fof(f5194,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k1_closure3(X0,X1)
| a_2_0_closure3(X0,X1) != X2 )
& ( X2 = a_2_0_closure3(X0,X1)
| k1_closure3(X0,X1) != X2 ) )
| ~ m1_pboole(X1,X0) )
| v1_xboole_0(X0) ),
inference(nnf_transformation,[],[f4806]) ).
fof(f5195,plain,
( k1_xboole_0 != k1_funct_1(sK7,sK8)
& ~ r2_hidden(sK8,k1_closure3(sK6,sK7))
& m1_subset_1(sK8,sK6)
& m1_pboole(sK7,sK6)
& ~ v1_xboole_0(sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X0,sK6),skolemize(X1,sK7),skolemize(X2,sK8)],[f4812]) ).
fof(f5302,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,a_2_0_closure3(X1,X2))
| ~ m1_subset_1(X3,X1)
| X0 != X3
| k1_xboole_0 = k1_funct_1(X2,X3)
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(cnf_transformation,[],[f5185]) ).
fof(f5332,plain,
! [X2,X0,X1] :
( a_2_0_closure3(X0,X1) = X2
| k1_closure3(X0,X1) != X2
| ~ m1_pboole(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f5194]) ).
fof(f5336,plain,
~ v1_xboole_0(sK6),
inference(cnf_transformation,[],[f5195]) ).
fof(f5337,plain,
m1_pboole(sK7,sK6),
inference(cnf_transformation,[],[f5195]) ).
fof(f5338,plain,
m1_subset_1(sK8,sK6),
inference(cnf_transformation,[],[f5195]) ).
fof(f5339,plain,
~ r2_hidden(sK8,k1_closure3(sK6,sK7)),
inference(cnf_transformation,[],[f5195]) ).
fof(f5340,plain,
k1_xboole_0 != k1_funct_1(sK7,sK8),
inference(cnf_transformation,[],[f5195]) ).
fof(f5905,plain,
! [X2,X3,X1] :
( r2_hidden(X3,a_2_0_closure3(X1,X2))
| ~ m1_subset_1(X3,X1)
| k1_xboole_0 = k1_funct_1(X2,X3)
| v1_xboole_0(X1)
| ~ m1_pboole(X2,X1) ),
inference(equality_resolution,[],[f5302]) ).
fof(f5907,plain,
! [X0,X1] :
( k1_closure3(X0,X1) = a_2_0_closure3(X0,X1)
| ~ m1_pboole(X1,X0)
| v1_xboole_0(X0) ),
inference(equality_resolution,[],[f5332]) ).
fof(f6017,definition,
( spl101_1
<=> m1_subset_1(sK8,sK6) ),
introduced(definition,[new_symbols(definition,[spl101_1])],[avatar_definition]) ).
fof(f6019,plain,
( m1_subset_1(sK8,sK6)
| ~ spl101_1 ),
inference(avatar_component_clause,[],[f6017]) ).
fof(f6020,plain,
spl101_1,
inference(avatar_split_clause,[],[f5338,f6017]) ).
fof(f6033,definition,
( spl101_2
<=> m1_pboole(sK7,sK6) ),
introduced(definition,[new_symbols(definition,[spl101_2])],[avatar_definition]) ).
fof(f6035,plain,
( m1_pboole(sK7,sK6)
| ~ spl101_2 ),
inference(avatar_component_clause,[],[f6033]) ).
fof(f6036,plain,
spl101_2,
inference(avatar_split_clause,[],[f5337,f6033]) ).
fof(f6180,plain,
( ! [X0] :
( r2_hidden(X0,a_2_0_closure3(sK6,sK7))
| ~ m1_subset_1(X0,sK6)
| k1_xboole_0 = k1_funct_1(sK7,X0)
| v1_xboole_0(sK6) )
| ~ spl101_2 ),
inference(resolution,[],[f6035,f5905]) ).
fof(f6182,plain,
( k1_closure3(sK6,sK7) = a_2_0_closure3(sK6,sK7)
| v1_xboole_0(sK6)
| ~ spl101_2 ),
inference(resolution,[],[f6035,f5907]) ).
fof(f6214,plain,
( k1_closure3(sK6,sK7) = a_2_0_closure3(sK6,sK7)
| ~ spl101_2 ),
inference(forward_subsumption_resolution,[],[f6182,f5336]) ).
fof(f6216,plain,
( ! [X0] :
( r2_hidden(X0,a_2_0_closure3(sK6,sK7))
| ~ m1_subset_1(X0,sK6)
| k1_xboole_0 = k1_funct_1(sK7,X0) )
| ~ spl101_2 ),
inference(forward_subsumption_resolution,[],[f6180,f5336]) ).
fof(f6226,plain,
( ! [X0] :
( r2_hidden(X0,k1_closure3(sK6,sK7))
| ~ m1_subset_1(X0,sK6)
| k1_xboole_0 = k1_funct_1(sK7,X0) )
| ~ spl101_2 ),
inference(forward_demodulation,[],[f6216,f6214]) ).
fof(f6231,definition,
( spl101_3
<=> k1_xboole_0 = k1_funct_1(sK7,sK8) ),
introduced(definition,[new_symbols(definition,[spl101_3])],[avatar_definition]) ).
fof(f6233,plain,
( k1_xboole_0 != k1_funct_1(sK7,sK8)
| spl101_3 ),
inference(avatar_component_clause,[],[f6231]) ).
fof(f6234,plain,
~ spl101_3,
inference(avatar_split_clause,[],[f5340,f6231]) ).
fof(f6236,definition,
( spl101_4
<=> ! [X0] :
( r2_hidden(X0,k1_closure3(sK6,sK7))
| ~ m1_subset_1(X0,sK6)
| k1_xboole_0 = k1_funct_1(sK7,X0) ) ),
introduced(definition,[new_symbols(definition,[spl101_4])],[avatar_definition]) ).
fof(f6237,plain,
( ! [X0] :
( r2_hidden(X0,k1_closure3(sK6,sK7))
| ~ m1_subset_1(X0,sK6)
| k1_xboole_0 = k1_funct_1(sK7,X0) )
| ~ spl101_4 ),
inference(avatar_component_clause,[],[f6236]) ).
fof(f6238,plain,
( spl101_4
| ~ spl101_2 ),
inference(avatar_split_clause,[],[f6226,f6033,f6236]) ).
fof(f6240,definition,
( spl101_5
<=> r2_hidden(sK8,k1_closure3(sK6,sK7)) ),
introduced(definition,[new_symbols(definition,[spl101_5])],[avatar_definition]) ).
fof(f6242,plain,
( ~ r2_hidden(sK8,k1_closure3(sK6,sK7))
| spl101_5 ),
inference(avatar_component_clause,[],[f6240]) ).
fof(f6243,plain,
~ spl101_5,
inference(avatar_split_clause,[],[f5339,f6240]) ).
fof(f6322,plain,
( ~ m1_subset_1(sK8,sK6)
| k1_xboole_0 = k1_funct_1(sK7,sK8)
| ~ spl101_4
| spl101_5 ),
inference(resolution,[],[f6237,f6242]) ).
fof(f6343,plain,
( k1_xboole_0 = k1_funct_1(sK7,sK8)
| ~ spl101_1
| ~ spl101_4
| spl101_5 ),
inference(forward_subsumption_resolution,[],[f6322,f6019]) ).
fof(f6349,plain,
( $false
| ~ spl101_1
| spl101_3
| ~ spl101_4
| spl101_5 ),
inference(forward_subsumption_resolution,[],[f6343,f6233]) ).
fof(f6350,plain,
( ~ spl101_1
| spl101_3
| ~ spl101_4
| spl101_5 ),
inference(avatar_contradiction_clause,[],[f6349]) ).
cnf(s1,plain,
spl101_1,
inference(sat_conversion,[],[f6020]) ).
cnf(s2,plain,
spl101_2,
inference(sat_conversion,[],[f6036]) ).
cnf(s3,plain,
~ spl101_3,
inference(sat_conversion,[],[f6234]) ).
cnf(s4,plain,
( ~ spl101_2
| spl101_4 ),
inference(sat_conversion,[],[f6238]) ).
cnf(s5,plain,
~ spl101_5,
inference(sat_conversion,[],[f6243]) ).
cnf(s6,plain,
( ~ spl101_1
| spl101_3
| ~ spl101_4
| spl101_5 ),
inference(sat_conversion,[],[f6350]) ).
cnf(s7,plain,
spl101_4,
inference(rat,[],[s4,s2]) ).
cnf(s8,plain,
~ spl101_1,
inference(rat,[],[s6,s5,s3,s7]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s8]) ).
fof(f6352,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG227+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n011.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 19:51:47 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 Running first-order theorem proving
% 0.08/0.25 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
% 5.33/1.90 % (3704452)Detected formulas, will run a generic FOF schedule.
% 5.33/1.90 % (3704457)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=1252634695:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 5.33/1.90 % (3704459)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=2318922298:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 5.33/1.90 % (3704462)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1948002745:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 5.33/1.90 % (3704461)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=653542774:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 5.33/1.90 % (3704463)dis-21_1_sil=8000:lcm=predicate:random_seed=4781791:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 5.33/1.90 % (3704458)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=2514898154:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 5.33/1.90 % (3704460)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3317650255:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 5.33/1.90 % (3704460)Instruction limit reached!
% 5.33/1.90 % (3704460)------------------------------
% 5.33/1.90 % (3704460)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.90 % (3704460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.90 % (3704460)CaDiCaL version: 2.1.3
% 5.33/1.90 % (3704460)Termination reason: Instruction limit
% 5.33/1.90 % (3704460)Termination phase: Saturation
% 5.33/1.90 % (3704460)Time elapsed: 0.074 s
% 5.33/1.90 % (3704460)Peak memory usage: 94 MB
% 5.33/1.90 % (3704460)Instructions burned: 110 (million)
% 5.33/1.90 % (3704461)Instruction limit reached!
% 5.33/1.90 % (3704461)------------------------------
% 5.33/1.90 % (3704461)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.90 % (3704461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.90 % (3704461)CaDiCaL version: 2.1.3
% 5.33/1.90 % (3704461)Termination reason: Instruction limit
% 5.33/1.90 % (3704461)Termination phase: Saturation
% 5.33/1.90 % (3704461)Time elapsed: 0.079 s
% 5.33/1.90 % (3704461)Peak memory usage: 94 MB
% 5.33/1.90 % (3704461)Instructions burned: 119 (million)
% 5.33/1.90 % (3704462)Instruction limit reached!
% 5.33/1.90 % (3704462)------------------------------
% 5.33/1.90 % (3704462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.90 % (3704462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.90 % (3704462)CaDiCaL version: 2.1.3
% 5.33/1.90 % (3704462)Termination reason: Instruction limit
% 5.33/1.90 % (3704462)Termination phase: Naming
% 5.33/1.90 % (3704462)Time elapsed: 0.089 s
% 5.33/1.90 % (3704462)Peak memory usage: 94 MB
% 5.33/1.90 % (3704462)Instructions burned: 139 (million)
% 5.33/1.90 % (3704463)Instruction limit reached!
% 5.33/1.90 % (3704463)------------------------------
% 5.33/1.90 % (3704463)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.90 % (3704463)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.90 % (3704463)CaDiCaL version: 2.1.3
% 5.33/1.90 % (3704463)Termination reason: Instruction limit
% 5.33/1.90 % (3704463)Termination phase: Preprocessing 3
% 5.33/1.90 % (3704463)Time elapsed: 0.092 s
% 5.33/1.90 % (3704463)Peak memory usage: 95 MB
% 5.33/1.90 % (3704463)Instructions burned: 130 (million)
% 5.33/1.90 % (3704471)lrs+10_1_sil=8000:sp=occurrence:random_seed=4273833999:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 5.33/1.90 % (3704472)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3627717753:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 5.33/1.90 % (3704473)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2317669373:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 5.33/1.90 % (3704474)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=3515321661:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 5.33/1.90 % (3704472)Refutation not found, incomplete strategy
% 5.33/1.90 % (3704472)------------------------------
% 5.33/1.90 % (3704472)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.90 % (3704472)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.90 % (3704472)CaDiCaL version: 2.1.3
% 5.33/1.90 % (3704472)Termination reason: Refutation not found, incomplete strategy
% 5.33/1.90 % (3704472)Time elapsed: 0.052 s
% 5.33/1.90 % (3704472)Peak memory usage: 94 MB
% 5.33/1.90 % (3704472)Instructions burned: 92 (million)
% 5.33/1.90 % (3704474)Instruction limit reached!
% 5.33/1.90 % (3704474)------------------------------
% 5.33/1.90 % (3704474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.90 % (3704474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.90 % (3704474)CaDiCaL version: 2.1.3
% 5.33/1.90 % (3704474)Termination reason: Instruction limit
% 5.33/1.90 % (3704474)Termination phase: Property scanning
% 5.33/1.90 % (3704474)Time elapsed: 0.153 s
% 5.33/1.90 % (3704474)Peak memory usage: 100 MB
% 5.33/1.90 % (3704474)Instructions burned: 249 (million)
% 5.33/1.90 % (3704471)Instruction limit reached!
% 5.33/1.90 % (3704471)------------------------------
% 5.33/1.90 % (3704471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.90 % (3704471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.90 % (3704471)CaDiCaL version: 2.1.3
% 5.33/1.90 % (3704471)Termination reason: Instruction limit
% 5.33/1.90 % (3704471)Termination phase: Saturation
% 5.33/1.90 % (3704471)Time elapsed: 0.196 s
% 5.33/1.90 % (3704471)Peak memory usage: 98 MB
% 5.33/1.90 % (3704471)Instructions burned: 286 (million)
% 5.33/1.90 % (3704473)Instruction limit reached!
% 5.33/1.90 % (3704473)------------------------------
% 5.33/1.90 % (3704473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.90 % (3704473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.90 % (3704473)CaDiCaL version: 2.1.3
% 5.33/1.90 % (3704473)Termination reason: Instruction limit
% 5.33/1.90 % (3704473)Termination phase: Saturation
% 5.33/1.90 % (3704473)Time elapsed: 0.201 s
% 5.33/1.90 % (3704473)Peak memory usage: 96 MB
% 5.33/1.90 % (3704473)Instructions burned: 325 (million)
% 5.33/1.90 % (3704472)------------------------------
% 5.33/1.90 % (3704472)------------------------------
% 5.33/1.90 % (3704479)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2049980618:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 5.33/1.90 % (3704480)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=341446648:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 5.33/1.90 % (3704481)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=78459777:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 5.33/1.90 % (3704481)Instruction limit reached!
% 5.33/1.90 % (3704481)------------------------------
% 5.33/1.90 % (3704481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.90 % (3704481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.90 % (3704481)CaDiCaL version: 2.1.3
% 5.33/1.90 % (3704481)Termination reason: Instruction limit
% 5.33/1.90 % (3704481)Termination phase: Property scanning
% 5.33/1.90 % (3704481)Time elapsed: 0.072 s
% 5.33/1.90 % (3704481)Peak memory usage: 94 MB
% 5.33/1.90 % (3704481)Instructions burned: 115 (million)
% 5.33/1.90 % (3704459)First to succeed.
% 5.33/1.90 % (3704459)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3704452"
% 5.33/1.90 % (3704482)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=564765985:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 5.33/1.90 % (3704479)Instruction limit reached!
% 5.33/1.90 % (3704479)------------------------------
% 5.33/1.90 % (3704479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.33/1.90 % (3704479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.33/1.90 % (3704479)CaDiCaL version: 2.1.3
% 5.33/1.90 % (3704479)Termination reason: Instruction limit
% 5.33/1.90 % (3704479)Termination phase: Saturation
% 5.33/1.90 % (3704479)Time elapsed: 0.174 s
% 5.33/1.90 % (3704479)Peak memory usage: 97 MB
% 5.33/1.90 % (3704479)Instructions burned: 295 (million)
% 5.33/1.90 % (3704482)Instruction limit reached!
% 5.33/1.90 % (3704482)------------------------------
% 5.33/1.90 % (3704482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/2.10 % (3704482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/2.10 % (3704482)CaDiCaL version: 2.1.3
% 7.98/2.10 % (3704482)Termination reason: Instruction limit
% 7.98/2.10 % (3704482)Termination phase: Preprocessing 3
% 7.98/2.10 % (3704482)Time elapsed: 0.091 s
% 7.98/2.10 % (3704482)Peak memory usage: 97 MB
% 7.98/2.10 % (3704482)Instructions burned: 127 (million)
% 7.98/2.10 % (3704459)Refutation found. Thanks to Tanya!
% 7.98/2.10 % SZS status Theorem for theBenchmark
% 7.98/2.10 % SZS output start Proof for theBenchmark
% See solution above
% 7.98/2.10 % (3704459)------------------------------
% 7.98/2.10 % (3704459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.98/2.10 % (3704459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.98/2.10 % (3704459)CaDiCaL version: 2.1.3
% 7.98/2.10 % (3704459)Termination reason: Refutation
% 7.98/2.10 % (3704459)Time elapsed: 0.674 s
% 7.98/2.10 % (3704459)Peak memory usage: 138 MB
% 7.98/2.10 % (3704459)Instructions burned: 1156 (million)
% 7.98/2.10 % (3704459)------------------------------
% 7.98/2.10 % (3704459)------------------------------
% 7.98/2.10 % (3704452)Success in time 1.214 s
% 7.98/2.10 % Vampire exiting
%------------------------------------------------------------------------------