%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU430+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 : n004.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 12:48:59 PM UTC 2026
% Result : Theorem 22.94s 9.02s
% Output : Refutation 24.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 67 ( 10 unt; 5 def)
% Number of atoms : 190 ( 79 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 215 ( 92 ~; 83 |; 27 &)
% ( 7 <=>; 5 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 6 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 51 ( 0 sgn 37 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f669,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> k5_setfam_1(X0,X1) = k3_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
fof(f5328,axiom,
np__0 = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t51_card_1) ).
fof(f5904,axiom,
! [X0] :
( ~ ( ? [X1] :
( X1 != k1_xboole_0
& r2_hidden(X1,X0) )
& k3_tarski(X0) = k1_xboole_0 )
& ~ ( k3_tarski(X0) != k1_xboole_0
& ! [X1] :
~ ( X1 != k1_xboole_0
& r2_hidden(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t91_orders_1) ).
fof(f71112,conjecture,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ( k5_setfam_1(X0,X1) = k1_xboole_0
<=> ! [X2] :
( r2_hidden(X2,X1)
=> X2 = k1_xboole_0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_relset_2) ).
fof(f71113,negated_conjecture,
~ ! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ( k5_setfam_1(X0,X1) = k1_xboole_0
<=> ! [X2] :
( r2_hidden(X2,X1)
=> X2 = k1_xboole_0 ) ) ),
inference(negated_conjecture,[status(cth)],[f71112]) ).
fof(f71133,plain,
! [X0] :
( ~ ( ? [X1] :
( X1 != k1_xboole_0
& r2_hidden(X1,X0) )
& k3_tarski(X0) = k1_xboole_0 )
& ~ ( k3_tarski(X0) != k1_xboole_0
& ! [X2] :
~ ( k1_xboole_0 != X2
& r2_hidden(X2,X0) ) ) ),
inference(rectify,[],[f5904]) ).
fof(f71217,plain,
? [X0,X1] :
( ( k5_setfam_1(X0,X1) = k1_xboole_0
<~> ! [X2] :
( X2 = k1_xboole_0
| ~ r2_hidden(X2,X1) ) )
& m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f71113]) ).
fof(f71867,plain,
! [X0] :
( ( ! [X1] :
( k1_xboole_0 = X1
| ~ r2_hidden(X1,X0) )
| k3_tarski(X0) != k1_xboole_0 )
& ( k3_tarski(X0) = k1_xboole_0
| ? [X2] :
( k1_xboole_0 != X2
& r2_hidden(X2,X0) ) ) ),
inference(ennf_transformation,[],[f71133]) ).
fof(f71884,plain,
! [X0,X1] :
( k5_setfam_1(X0,X1) = k3_tarski(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f669]) ).
fof(f72067,plain,
? [X0,X1] :
( ( ? [X2] :
( k1_xboole_0 != X2
& r2_hidden(X2,X1) )
| k1_xboole_0 != k5_setfam_1(X0,X1) )
& ( ! [X2] :
( X2 = k1_xboole_0
| ~ r2_hidden(X2,X1) )
| k5_setfam_1(X0,X1) = k1_xboole_0 )
& m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(nnf_transformation,[],[f71217]) ).
fof(f72068,plain,
? [X0,X1] :
( ( ? [X2] :
( k1_xboole_0 != X2
& r2_hidden(X2,X1) )
| k1_xboole_0 != k5_setfam_1(X0,X1) )
& ( ! [X2] :
( X2 = k1_xboole_0
| ~ r2_hidden(X2,X1) )
| k5_setfam_1(X0,X1) = k1_xboole_0 )
& m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(flattening,[],[f72067]) ).
fof(f72069,plain,
? [X0,X1] :
( ( ? [X2] :
( k1_xboole_0 != X2
& r2_hidden(X2,X1) )
| k1_xboole_0 != k5_setfam_1(X0,X1) )
& ( ! [X3] :
( k1_xboole_0 = X3
| ~ r2_hidden(X3,X1) )
| k5_setfam_1(X0,X1) = k1_xboole_0 )
& m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(rectify,[],[f72068]) ).
fof(f72070,plain,
( ( ( k1_xboole_0 != sK7
& r2_hidden(sK7,sK6) )
| k1_xboole_0 != k5_setfam_1(sK5,sK6) )
& ( ! [X3] :
( k1_xboole_0 = X3
| ~ r2_hidden(X3,sK6) )
| k1_xboole_0 = k5_setfam_1(sK5,sK6) )
& m1_subset_1(sK6,k1_zfmisc_1(k1_zfmisc_1(sK5))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7)],[f72069]) ).
fof(f72321,plain,
! [X0] :
( ( ! [X1] :
( k1_xboole_0 = X1
| ~ r2_hidden(X1,X0) )
| k3_tarski(X0) != k1_xboole_0 )
& ( k3_tarski(X0) = k1_xboole_0
| ( k1_xboole_0 != sK191(X0)
& r2_hidden(sK191(X0),X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK191]),skolemize(X2,sK191(X0))],[f71867]) ).
fof(f72458,plain,
m1_subset_1(sK6,k1_zfmisc_1(k1_zfmisc_1(sK5))),
inference(cnf_transformation,[],[f72070]) ).
fof(f72459,plain,
! [X3] :
( k1_xboole_0 = X3
| ~ r2_hidden(X3,sK6)
| k1_xboole_0 = k5_setfam_1(sK5,sK6) ),
inference(cnf_transformation,[],[f72070]) ).
fof(f72460,plain,
( r2_hidden(sK7,sK6)
| k1_xboole_0 != k5_setfam_1(sK5,sK6) ),
inference(cnf_transformation,[],[f72070]) ).
fof(f72461,plain,
( k1_xboole_0 != sK7
| k1_xboole_0 != k5_setfam_1(sK5,sK6) ),
inference(cnf_transformation,[],[f72070]) ).
fof(f72927,plain,
k1_xboole_0 = np__0,
inference(cnf_transformation,[],[f5328]) ).
fof(f73500,plain,
! [X0] :
( k3_tarski(X0) = k1_xboole_0
| r2_hidden(sK191(X0),X0) ),
inference(cnf_transformation,[],[f72321]) ).
fof(f73501,plain,
! [X0] :
( k3_tarski(X0) = k1_xboole_0
| k1_xboole_0 != sK191(X0) ),
inference(cnf_transformation,[],[f72321]) ).
fof(f73502,plain,
! [X0,X1] :
( k1_xboole_0 = X1
| ~ r2_hidden(X1,X0)
| k3_tarski(X0) != k1_xboole_0 ),
inference(cnf_transformation,[],[f72321]) ).
fof(f73547,plain,
! [X0,X1] :
( k3_tarski(X1) = k5_setfam_1(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f71884]) ).
fof(f73812,plain,
( np__0 != sK7
| np__0 != k5_setfam_1(sK5,sK6) ),
inference(definition_unfolding,[],[f72461,f72927,f72927]) ).
fof(f73813,plain,
( r2_hidden(sK7,sK6)
| np__0 != k5_setfam_1(sK5,sK6) ),
inference(definition_unfolding,[],[f72460,f72927]) ).
fof(f73814,plain,
! [X3] :
( np__0 = X3
| ~ r2_hidden(X3,sK6)
| np__0 = k5_setfam_1(sK5,sK6) ),
inference(definition_unfolding,[],[f72459,f72927,f72927]) ).
fof(f74250,plain,
! [X0,X1] :
( np__0 = X1
| ~ r2_hidden(X1,X0)
| k3_tarski(X0) != np__0 ),
inference(definition_unfolding,[],[f73502,f72927,f72927]) ).
fof(f74251,plain,
! [X0] :
( k3_tarski(X0) = np__0
| np__0 != sK191(X0) ),
inference(definition_unfolding,[],[f73501,f72927,f72927]) ).
fof(f74252,plain,
! [X0] :
( k3_tarski(X0) = np__0
| r2_hidden(sK191(X0),X0) ),
inference(definition_unfolding,[],[f73500,f72927]) ).
fof(f74764,definition,
( spl373_1
<=> np__0 = k5_setfam_1(sK5,sK6) ),
introduced(definition,[new_symbols(definition,[spl373_1])],[avatar_definition]) ).
fof(f74765,plain,
( np__0 != k5_setfam_1(sK5,sK6)
| spl373_1 ),
inference(avatar_component_clause,[],[f74764]) ).
fof(f74766,plain,
( np__0 = k5_setfam_1(sK5,sK6)
| ~ spl373_1 ),
inference(avatar_component_clause,[],[f74764]) ).
fof(f74768,definition,
( spl373_2
<=> ! [X3] :
( np__0 = X3
| ~ r2_hidden(X3,sK6) ) ),
introduced(definition,[new_symbols(definition,[spl373_2])],[avatar_definition]) ).
fof(f74769,plain,
( ! [X3] :
( ~ r2_hidden(X3,sK6)
| np__0 = X3 )
| ~ spl373_2 ),
inference(avatar_component_clause,[],[f74768]) ).
fof(f74770,plain,
( spl373_1
| spl373_2 ),
inference(avatar_split_clause,[],[f73814,f74768,f74764]) ).
fof(f74772,definition,
( spl373_3
<=> r2_hidden(sK7,sK6) ),
introduced(definition,[new_symbols(definition,[spl373_3])],[avatar_definition]) ).
fof(f74774,plain,
( r2_hidden(sK7,sK6)
| ~ spl373_3 ),
inference(avatar_component_clause,[],[f74772]) ).
fof(f74775,plain,
( ~ spl373_1
| spl373_3 ),
inference(avatar_split_clause,[],[f73813,f74772,f74764]) ).
fof(f74777,definition,
( spl373_4
<=> m1_subset_1(sK6,k1_zfmisc_1(k1_zfmisc_1(sK5))) ),
introduced(definition,[new_symbols(definition,[spl373_4])],[avatar_definition]) ).
fof(f74779,plain,
( m1_subset_1(sK6,k1_zfmisc_1(k1_zfmisc_1(sK5)))
| ~ spl373_4 ),
inference(avatar_component_clause,[],[f74777]) ).
fof(f74780,plain,
spl373_4,
inference(avatar_split_clause,[],[f72458,f74777]) ).
fof(f74809,plain,
( k5_setfam_1(sK5,sK6) = k3_tarski(sK6)
| ~ spl373_4 ),
inference(resolution,[],[f74779,f73547]) ).
fof(f75345,plain,
( np__0 = sK191(sK6)
| np__0 = k3_tarski(sK6)
| ~ spl373_2 ),
inference(resolution,[],[f74769,f74252]) ).
fof(f75371,plain,
( np__0 = k3_tarski(sK6)
| ~ spl373_2 ),
inference(forward_subsumption_resolution,[],[f75345,f74251]) ).
fof(f75515,definition,
( spl373_5
<=> np__0 = sK7 ),
introduced(definition,[new_symbols(definition,[spl373_5])],[avatar_definition]) ).
fof(f75517,plain,
( np__0 != sK7
| spl373_5 ),
inference(avatar_component_clause,[],[f75515]) ).
fof(f75518,plain,
( ~ spl373_1
| ~ spl373_5 ),
inference(avatar_split_clause,[],[f73812,f75515,f74764]) ).
fof(f75623,plain,
( np__0 = sK7
| np__0 != k3_tarski(sK6)
| ~ spl373_3 ),
inference(resolution,[],[f74774,f74250]) ).
fof(f75692,plain,
( np__0 != k3_tarski(sK6)
| ~ spl373_3
| spl373_5 ),
inference(forward_subsumption_resolution,[],[f75623,f75517]) ).
fof(f75747,plain,
( np__0 = k3_tarski(sK6)
| ~ m1_subset_1(sK6,k1_zfmisc_1(k1_zfmisc_1(sK5)))
| ~ spl373_1 ),
inference(superposition,[],[f74766,f73547]) ).
fof(f75769,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(k1_zfmisc_1(sK5)))
| ~ spl373_1
| ~ spl373_3
| spl373_5 ),
inference(forward_subsumption_resolution,[],[f75747,f75692]) ).
fof(f75772,plain,
( $false
| ~ spl373_1
| ~ spl373_3
| ~ spl373_4
| spl373_5 ),
inference(forward_subsumption_resolution,[],[f75769,f74779]) ).
fof(f75773,plain,
( ~ spl373_1
| ~ spl373_3
| ~ spl373_4
| spl373_5 ),
inference(avatar_contradiction_clause,[],[f75772]) ).
fof(f75774,plain,
( np__0 != k3_tarski(sK6)
| spl373_1
| ~ spl373_4 ),
inference(forward_demodulation,[],[f74765,f74809]) ).
fof(f75779,plain,
( $false
| spl373_1
| ~ spl373_2
| ~ spl373_4 ),
inference(forward_subsumption_resolution,[],[f75774,f75371]) ).
fof(f75780,plain,
( spl373_1
| ~ spl373_2
| ~ spl373_4 ),
inference(avatar_contradiction_clause,[],[f75779]) ).
cnf(s1,plain,
( spl373_1
| spl373_2 ),
inference(sat_conversion,[],[f74770]) ).
cnf(s2,plain,
( ~ spl373_1
| spl373_3 ),
inference(sat_conversion,[],[f74775]) ).
cnf(s3,plain,
spl373_4,
inference(sat_conversion,[],[f74780]) ).
cnf(s4,plain,
( ~ spl373_1
| ~ spl373_5 ),
inference(sat_conversion,[],[f75518]) ).
cnf(s7,plain,
( ~ spl373_1
| ~ spl373_3
| ~ spl373_4
| spl373_5 ),
inference(sat_conversion,[],[f75773]) ).
cnf(s10,plain,
( spl373_1
| ~ spl373_2
| ~ spl373_4 ),
inference(sat_conversion,[],[f75780]) ).
cnf(s11,plain,
spl373_1,
inference(rat,[],[s1,s10,s3]) ).
cnf(s12,plain,
~ spl373_5,
inference(rat,[],[s4,s11]) ).
cnf(s13,plain,
spl373_3,
inference(rat,[],[s2,s11]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s7,s11,s3,s12,s13]) ).
fof(f75781,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU430+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 28 05:26:03 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.39 Running first-order theorem proving
% 0.09/0.39 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
% 18.77/8.26 % (20119)Detected formulas, will run a generic FOF schedule.
% 18.77/8.26 % (20127)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3391500017:i=109:sd=1:ins=1:gsp=on:ss=axioms_2944 on theBenchmark for (2944ds/109Mi)
% 18.77/8.26 % (20124)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=2165219684:i=141193_2944 on theBenchmark for (2944ds/141193Mi)
% 18.77/8.26 % (20125)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=4155051335:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2944 on theBenchmark for (2944ds/134677Mi)
% 18.77/8.26 % (20126)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=30181150:i=141695:sd=1:nm=32:gsp=on:ss=included_2944 on theBenchmark for (2944ds/141695Mi)
% 18.77/8.26 % (20128)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3317024135:i=119:av=off:ss=axioms_2944 on theBenchmark for (2944ds/119Mi)
% 18.77/8.26 % (20129)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1116740602:s2a=on:i=139:gtg=position_2944 on theBenchmark for (2944ds/139Mi)
% 18.77/8.26 % (20127)Instruction limit reached!
% 18.77/8.26 % (20127)------------------------------
% 18.77/8.26 % (20127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.77/8.26 % (20127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.77/8.26 % (20127)CaDiCaL version: 2.1.3
% 18.77/8.26 % (20127)Termination reason: Instruction limit
% 18.77/8.26 % (20127)Termination phase: SInE selection
% 18.77/8.26 % (20127)Time elapsed: 0.052 s
% 18.77/8.26 % (20127)Peak memory usage: 201 MB
% 18.77/8.26 % (20127)Instructions burned: 110 (million)
% 18.77/8.26 % (20130)dis-21_1_sil=8000:lcm=predicate:random_seed=3692434126:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2944 on theBenchmark for (2944ds/129Mi)
% 18.77/8.26 % (20129)Instruction limit reached!
% 18.77/8.26 % (20129)------------------------------
% 18.77/8.26 % (20129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.77/8.26 % (20129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.77/8.26 % (20129)CaDiCaL version: 2.1.3
% 18.77/8.26 % (20129)Termination reason: Instruction limit
% 18.77/8.26 % (20129)Termination phase: Property scanning
% 18.77/8.26 % (20129)Time elapsed: 0.068 s
% 18.77/8.26 % (20129)Peak memory usage: 201 MB
% 18.77/8.26 % (20129)Instructions burned: 139 (million)
% 18.77/8.26 % (20128)Instruction limit reached!
% 18.77/8.26 % (20128)------------------------------
% 18.77/8.26 % (20128)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.77/8.26 % (20128)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.77/8.26 % (20128)CaDiCaL version: 2.1.3
% 18.77/8.26 % (20128)Termination reason: Instruction limit
% 18.77/8.26 % (20128)Termination phase: SInE selection
% 18.77/8.26 % (20128)Time elapsed: 0.095 s
% 18.77/8.26 % (20128)Peak memory usage: 201 MB
% 18.77/8.26 % (20128)Instructions burned: 119 (million)
% 18.77/8.26 % (20130)Instruction limit reached!
% 18.77/8.26 % (20130)------------------------------
% 18.77/8.26 % (20130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.77/8.26 % (20130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.77/8.26 % (20130)CaDiCaL version: 2.1.3
% 18.77/8.26 % (20130)Termination reason: Instruction limit
% 18.77/8.26 % (20130)Termination phase: SInE selection
% 18.77/8.26 % (20130)Time elapsed: 0.101 s
% 18.77/8.26 % (20130)Peak memory usage: 201 MB
% 18.77/8.26 % (20130)Instructions burned: 130 (million)
% 18.77/8.26 % (20137)lrs+10_1_sil=8000:sp=occurrence:random_seed=2470089064:i=285:sd=3:ss=axioms:sgt=8_2942 on theBenchmark for (2942ds/285Mi)
% 18.77/8.26 % (20139)lrs+10_1_sil=32000:urr=on:br=off:random_seed=948585027:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2942 on theBenchmark for (2942ds/157Mi)
% 18.77/8.26 % (20137)Instruction limit reached!
% 18.77/8.26 % (20137)------------------------------
% 18.77/8.26 % (20137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.77/8.26 % (20137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.77/8.26 % (20137)CaDiCaL version: 2.1.3
% 18.77/8.26 % (20137)Termination reason: Instruction limit
% 18.77/8.26 % (20137)Termination phase: SInE selection
% 18.77/8.26 % (20137)Time elapsed: 0.123 s
% 18.77/8.26 % (20137)Peak memory usage: 201 MB
% 22.94/9.02 % (20137)Instructions burned: 285 (million)
% 22.94/9.02 % (20140)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1910357588:i=325:sd=1:ss=axioms:sgt=32_2941 on theBenchmark for (2941ds/325Mi)
% 22.94/9.02 % (20142)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=513841107:s2a=on:i=248:s2at=1.23:gtg=position_2941 on theBenchmark for (2941ds/248Mi)
% 22.94/9.02 % (20139)Instruction limit reached!
% 22.94/9.02 % (20139)------------------------------
% 22.94/9.02 % (20139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.94/9.02 % (20139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.94/9.02 % (20139)CaDiCaL version: 2.1.3
% 22.94/9.02 % (20139)Termination reason: Instruction limit
% 22.94/9.02 % (20139)Termination phase: Property scanning
% 22.94/9.02 % (20139)Time elapsed: 0.076 s
% 22.94/9.02 % (20139)Peak memory usage: 201 MB
% 22.94/9.02 % (20139)Instructions burned: 159 (million)
% 22.94/9.02 % (20145)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3258317089:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2940 on theBenchmark for (2940ds/294Mi)
% 22.94/9.02 % (20142)Instruction limit reached!
% 22.94/9.02 % (20142)------------------------------
% 22.94/9.02 % (20142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.94/9.02 % (20142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.94/9.02 % (20142)CaDiCaL version: 2.1.3
% 22.94/9.02 % (20142)Termination reason: Instruction limit
% 22.94/9.02 % (20142)Termination phase: Property scanning
% 22.94/9.02 % (20142)Time elapsed: 0.115 s
% 22.94/9.02 % (20142)Peak memory usage: 201 MB
% 22.94/9.02 % (20142)Instructions burned: 250 (million)
% 22.94/9.02 % (20147)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3110094134:i=2350_2939 on theBenchmark for (2939ds/2350Mi)
% 22.94/9.02 % (20140)Instruction limit reached!
% 22.94/9.02 % (20140)------------------------------
% 22.94/9.02 % (20140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.94/9.02 % (20140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.94/9.02 % (20140)CaDiCaL version: 2.1.3
% 22.94/9.02 % (20140)Termination reason: Instruction limit
% 22.94/9.02 % (20140)Termination phase: SInE selection
% 22.94/9.02 % (20140)Time elapsed: 0.250 s
% 22.94/9.02 % (20140)Peak memory usage: 201 MB
% 22.94/9.02 % (20140)Instructions burned: 325 (million)
% 22.94/9.02 % (20145)Instruction limit reached!
% 22.94/9.02 % (20145)------------------------------
% 22.94/9.02 % (20145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.94/9.02 % (20145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.94/9.02 % (20145)CaDiCaL version: 2.1.3
% 22.94/9.02 % (20145)Termination reason: Instruction limit
% 22.94/9.02 % (20145)Termination phase: SInE selection
% 22.94/9.02 % (20145)Time elapsed: 0.126 s
% 22.94/9.02 % (20145)Peak memory usage: 201 MB
% 22.94/9.02 % (20145)Instructions burned: 295 (million)
% 22.94/9.02 % (20149)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=109506326:cts=off:i=113:fsr=off:ss=included:sgt=4_2938 on theBenchmark for (2938ds/113Mi)
% 22.94/9.02 % (20152)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=375468363:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2937 on theBenchmark for (2937ds/114Mi)
% 22.94/9.02 % (20149)Instruction limit reached!
% 22.94/9.02 % (20149)------------------------------
% 22.94/9.02 % (20149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.94/9.02 % (20149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.94/9.02 % (20149)CaDiCaL version: 2.1.3
% 22.94/9.02 % (20149)Termination reason: Instruction limit
% 22.94/9.02 % (20149)Termination phase: SInE selection
% 22.94/9.02 % (20149)Time elapsed: 0.088 s
% 22.94/9.02 % (20149)Peak memory usage: 201 MB
% 22.94/9.02 % (20149)Instructions burned: 114 (million)
% 22.94/9.02 % (20152)Instruction limit reached!
% 22.94/9.02 % (20152)------------------------------
% 22.94/9.02 % (20152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.94/9.02 % (20152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.94/9.02 % (20152)CaDiCaL version: 2.1.3
% 22.94/9.02 % (20152)Termination reason: Instruction limit
% 22.94/9.02 % (20152)Termination phase: Property scanning
% 22.94/9.02 % (20152)Time elapsed: 0.032 s
% 22.94/9.02 % (20152)Peak memory usage: 201 MB
% 22.94/9.02 % (20152)Instructions burned: 115 (million)
% 22.94/9.02 % (20151)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1715024279:i=127:av=off:fsr=off:sup=off_2937 on theBenchmark for (2937ds/127Mi)
% 22.94/9.02 % (20151)Instruction limit reached!
% 22.94/9.02 % (20151)------------------------------
% 22.94/9.02 % (20151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.94/9.02 % (20151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.94/9.02 % (20151)CaDiCaL version: 2.1.3
% 22.94/9.02 % (20151)Termination reason: Instruction limit
% 22.94/9.02 % (20151)Termination phase: Preprocessing 1
% 22.94/9.02 % (20151)Time elapsed: 0.100 s
% 22.94/9.02 % (20151)Peak memory usage: 202 MB
% 22.94/9.02 % (20151)Instructions burned: 128 (million)
% 22.94/9.02 % (20157)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=264194725:i=437:sd=1:aac=none:ss=included_2935 on theBenchmark for (2935ds/437Mi)
% 22.94/9.02 % (20156)lrs+10_1_sil=8000:sp=occurrence:random_seed=756131871:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2936 on theBenchmark for (2936ds/907Mi)
% 22.94/9.02 % (20158)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3056853632:i=5202:ss=axioms:sgt=16_2934 on theBenchmark for (2934ds/5202Mi)
% 22.94/9.02 % (20157)Instruction limit reached!
% 22.94/9.02 % (20157)------------------------------
% 22.94/9.02 % (20157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.94/9.02 % (20157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.94/9.02 % (20157)CaDiCaL version: 2.1.3
% 22.94/9.02 % (20157)Termination reason: Instruction limit
% 22.94/9.02 % (20157)Termination phase: SInE selection
% 22.94/9.02 % (20157)Time elapsed: 0.184 s
% 22.94/9.02 % (20157)Peak memory usage: 202 MB
% 22.94/9.02 % (20157)Instructions burned: 438 (million)
% 22.94/9.02 % (20162)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2919918678:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2932 on theBenchmark for (2932ds/134Mi)
% 22.94/9.02 % (20162)Instruction limit reached!
% 22.94/9.02 % (20162)------------------------------
% 22.94/9.02 % (20162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.94/9.02 % (20162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.94/9.02 % (20162)CaDiCaL version: 2.1.3
% 22.94/9.02 % (20162)Termination reason: Instruction limit
% 22.94/9.02 % (20162)Termination phase: SInE selection
% 22.94/9.02 % (20162)Time elapsed: 0.059 s
% 22.94/9.02 % (20162)Peak memory usage: 201 MB
% 22.94/9.02 % (20162)Instructions burned: 136 (million)
% 22.94/9.02 % (20164)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2441352252:st=8:i=592:sd=3:ep=RST:ss=axioms_2930 on theBenchmark for (2930ds/592Mi)
% 22.94/9.02 % (20156)Instruction limit reached!
% 22.94/9.02 % (20156)------------------------------
% 22.94/9.02 % (20156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.94/9.02 % (20156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.94/9.02 % (20156)CaDiCaL version: 2.1.3
% 22.94/9.02 % (20156)Termination reason: Instruction limit
% 22.94/9.02 % (20156)Termination phase: Preprocessing 2
% 22.94/9.02 % (20156)Time elapsed: 0.670 s
% 22.94/9.02 % (20156)Peak memory usage: 207 MB
% 22.94/9.02 % (20156)Instructions burned: 907 (million)
% 22.94/9.02 % (20164)Instruction limit reached!
% 22.94/9.02 % (20164)------------------------------
% 22.94/9.02 % (20164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.94/9.02 % (20164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.94/9.02 % (20164)CaDiCaL version: 2.1.3
% 22.94/9.02 % (20164)Termination reason: Instruction limit
% 22.94/9.02 % (20164)Termination phase: SInE selection
% 22.94/9.02 % (20164)Time elapsed: 0.217 s
% 22.94/9.02 % (20164)Peak memory usage: 203 MB
% 22.94/9.02 % (20164)Instructions burned: 593 (million)
% 22.94/9.02 % (20166)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2796689268:st=3:i=13193:sd=3:ss=axioms_2927 on theBenchmark for (2927ds/13193Mi)
% 22.94/9.02 % (20167)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=964329912:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2927 on theBenchmark for (2927ds/125Mi)
% 22.94/9.02 % (20167)Instruction limit reached!
% 22.94/9.02 % (20167)------------------------------
% 22.94/9.02 % (20167)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.94/9.02 % (20167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.94/9.02 % (20167)CaDiCaL version: 2.1.3
% 22.94/9.02 % (20167)Termination reason: Instruction limit
% 22.94/9.02 % (20167)Termination phase: Property scanning
% 22.94/9.02 % (20167)Time elapsed: 0.035 s
% 22.94/9.02 % (20167)Peak memory usage: 201 MB
% 22.94/9.02 % (20167)Instructions burned: 130 (million)
% 22.94/9.02 % (20170)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1811453132:i=134:gtgl=5:slsql=off:gtg=exists_sym_2925 on theBenchmark for (2925ds/134Mi)
% 22.94/9.02 % (20170)Instruction limit reached!
% 22.94/9.02 % (20170)------------------------------
% 22.94/9.02 % (20170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.94/9.02 % (20170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.94/9.02 % (20170)CaDiCaL version: 2.1.3
% 22.94/9.02 % (20170)Termination reason: Instruction limit
% 22.94/9.02 % (20170)Termination phase: Property scanning
% 22.94/9.02 % (20170)Time elapsed: 0.037 s
% 22.94/9.02 % (20170)Peak memory usage: 201 MB
% 22.94/9.02 % (20170)Instructions burned: 136 (million)
% 22.94/9.02 % (20172)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=334477918:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2923 on theBenchmark for (2923ds/141Mi)
% 22.94/9.02 % (20172)Instruction limit reached!
% 22.94/9.02 % (20172)------------------------------
% 22.94/9.02 % (20172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.94/9.02 % (20172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.94/9.02 % (20172)CaDiCaL version: 2.1.3
% 22.94/9.02 % (20172)Termination reason: Instruction limit
% 22.94/9.02 % (20172)Termination phase: SInE selection
% 22.94/9.02 % (20172)Time elapsed: 0.062 s
% 22.94/9.02 % (20172)Peak memory usage: 201 MB
% 22.94/9.02 % (20172)Instructions burned: 141 (million)
% 22.94/9.02 % (20126)First to succeed.
% 22.94/9.02 % (20126)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20119"
% 22.94/9.02 % (20174)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=663556677:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2921 on theBenchmark for (2921ds/431Mi)
% 22.94/9.02 % (20147)Instruction limit reached!
% 22.94/9.02 % (20147)------------------------------
% 22.94/9.02 % (20147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.94/9.02 % (20147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.94/9.02 % (20147)CaDiCaL version: 2.1.3
% 22.94/9.02 % (20147)Termination reason: Instruction limit
% 22.94/9.02 % (20147)Termination phase: Preprocessing 3
% 22.94/9.02 % (20147)Time elapsed: 1.835 s
% 22.94/9.02 % (20147)Peak memory usage: 305 MB
% 22.94/9.02 % (20147)Instructions burned: 2350 (million)
% 22.94/9.02 % (20126)Refutation found. Thanks to Tanya!
% 22.94/9.02 % SZS status Theorem for theBenchmark
% 22.94/9.02 % SZS output start Proof for theBenchmark
% See solution above
% 24.80/9.15 % (20126)------------------------------
% 24.80/9.15 % (20126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.80/9.15 % (20126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.80/9.15 % (20126)CaDiCaL version: 2.1.3
% 24.80/9.15 % (20126)Termination reason: Refutation
% 24.80/9.15 % (20126)Time elapsed: 2.151 s
% 24.80/9.15 % (20126)Peak memory usage: 283 MB
% 24.80/9.15 % (20126)Instructions burned: 3073 (million)
% 24.80/9.15 % (20126)------------------------------
% 24.80/9.15 % (20126)------------------------------
% 24.80/9.15 % (20119)Success in time 8.19 s
% 24.80/9.15 % Vampire exiting
%------------------------------------------------------------------------------