%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU290+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 12:48:11 PM UTC 2026
% Result : Theorem 8.76s 2.09s
% Output : Refutation 9.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 49 ( 11 unt; 0 def)
% Number of atoms : 208 ( 71 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 243 ( 84 ~; 86 |; 48 &)
% ( 13 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-3 aty)
% Number of variables : 118 ( 101 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
=> relation(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f27,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> ( ( ( X1 = empty_set
=> X0 = empty_set )
=> ( quasi_total(X2,X0,X1)
<=> X0 = relation_dom_as_subset(X0,X1,X2) ) )
& ( X1 = empty_set
=> ( X0 = empty_set
| ( quasi_total(X2,X0,X1)
<=> X2 = empty_set ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_funct_2) ).
fof(f61,axiom,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f120,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
=> element(X2,powerset(cartesian_product2(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f196,axiom,
! [X0,X1,X2] :
( relation_of2(X2,X0,X1)
=> relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f201,axiom,
! [X0,X1,X2] :
( relation_of2_as_subset(X2,X0,X1)
<=> relation_of2(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f357,conjecture,
! [X0,X1,X2,X3] :
( ( function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) )
=> ( in(X2,X0)
=> ( X1 = empty_set
| in(apply(X3,X2),relation_rng(X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_funct_2) ).
fof(f358,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) )
=> ( in(X2,X0)
=> ( X1 = empty_set
| in(apply(X3,X2),relation_rng(X3)) ) ) ),
inference(negated_conjecture,[status(cth)],[f357]) ).
fof(f415,plain,
! [X0,X1,X2] :
( relation(X2)
| ~ element(X2,powerset(cartesian_product2(X0,X1))) ),
inference(ennf_transformation,[],[f6]) ).
fof(f438,plain,
! [X0,X1,X2] :
( ( ( ( quasi_total(X2,X0,X1)
<=> X0 = relation_dom_as_subset(X0,X1,X2) )
| ( empty_set != X0
& X1 = empty_set ) )
& ( X0 = empty_set
| ( quasi_total(X2,X0,X1)
<=> X2 = empty_set )
| empty_set != X1 ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f439,plain,
! [X0,X1,X2] :
( ( ( ( quasi_total(X2,X0,X1)
<=> X0 = relation_dom_as_subset(X0,X1,X2) )
| ( empty_set != X0
& X1 = empty_set ) )
& ( X0 = empty_set
| ( quasi_total(X2,X0,X1)
<=> X2 = empty_set )
| empty_set != X1 ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(flattening,[],[f438]) ).
fof(f462,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f463,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) ) ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(flattening,[],[f462]) ).
fof(f498,plain,
! [X0,X1,X2] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(ennf_transformation,[],[f120]) ).
fof(f555,plain,
! [X0,X1,X2] :
( relation_dom_as_subset(X0,X1,X2) = relation_dom(X2)
| ~ relation_of2(X2,X0,X1) ),
inference(ennf_transformation,[],[f196]) ).
fof(f756,plain,
? [X0,X1,X2,X3] :
( empty_set != X1
& ~ in(apply(X3,X2),relation_rng(X3))
& in(X2,X0)
& function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) ),
inference(ennf_transformation,[],[f358]) ).
fof(f757,plain,
? [X0,X1,X2,X3] :
( empty_set != X1
& ~ in(apply(X3,X2),relation_rng(X3))
& in(X2,X0)
& function(X3)
& quasi_total(X3,X0,X1)
& relation_of2_as_subset(X3,X0,X1) ),
inference(flattening,[],[f756]) ).
fof(f844,plain,
! [X0,X1,X2] :
( ( ( ( ( quasi_total(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) != X0 )
& ( X0 = relation_dom_as_subset(X0,X1,X2)
| ~ quasi_total(X2,X0,X1) ) )
| ( empty_set != X0
& X1 = empty_set ) )
& ( X0 = empty_set
| ( ( quasi_total(X2,X0,X1)
| empty_set != X2 )
& ( X2 = empty_set
| ~ quasi_total(X2,X0,X1) ) )
| empty_set != X1 ) )
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(nnf_transformation,[],[f439]) ).
fof(f936,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
| ~ in(X2,X1) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 ) )
& ( ? [X3] :
( in(X3,relation_dom(X0))
& X2 = apply(X0,X3) )
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(nnf_transformation,[],[f463]) ).
fof(f937,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != X2 )
| ~ in(X2,X1) )
& ( ? [X4] :
( in(X4,relation_dom(X0))
& apply(X0,X4) = X2 )
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 ) )
& ( ? [X7] :
( in(X7,relation_dom(X0))
& apply(X0,X7) = X5 )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(rectify,[],[f936]) ).
fof(f938,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != sK79(X0,X1) )
| ~ in(sK79(X0,X1),X1) )
& ( ( in(sK80(X0,X1),relation_dom(X0))
& sK79(X0,X1) = apply(X0,sK80(X0,X1)) )
| in(sK79(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 ) )
& ( ( in(sK81(X0,X5),relation_dom(X0))
& apply(X0,sK81(X0,X5)) = X5 )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK79,sK80,sK81]),skolemize(X2,sK79(X0,X1)),skolemize(X4,sK80(X0,X1)),skolemize(X7,sK81(X0,X5))],[f937]) ).
fof(f1014,plain,
! [X0,X1,X2] :
( ( relation_of2_as_subset(X2,X0,X1)
| ~ relation_of2(X2,X0,X1) )
& ( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f201]) ).
fof(f1162,plain,
( empty_set != sK262
& ~ in(apply(sK264,sK263),relation_rng(sK264))
& in(sK263,sK261)
& function(sK264)
& quasi_total(sK264,sK261,sK262)
& relation_of2_as_subset(sK264,sK261,sK262) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK261,sK262,sK263,sK264]),skolemize(X0,sK261),skolemize(X1,sK262),skolemize(X2,sK263),skolemize(X3,sK264)],[f757]) ).
fof(f1179,plain,
! [X2,X0,X1] :
( ~ element(X2,powerset(cartesian_product2(X0,X1)))
| relation(X2) ),
inference(cnf_transformation,[],[f415]) ).
fof(f1258,plain,
! [X2,X0,X1] :
( ~ quasi_total(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = X0
| empty_set = X1
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f844]) ).
fof(f1411,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f938]) ).
fof(f1500,plain,
! [X2,X0,X1] :
( element(X2,powerset(cartesian_product2(X0,X1)))
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f498]) ).
fof(f1656,plain,
! [X2,X0,X1] :
( ~ relation_of2(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
inference(cnf_transformation,[],[f555]) ).
fof(f1661,plain,
! [X2,X0,X1] :
( relation_of2(X2,X0,X1)
| ~ relation_of2_as_subset(X2,X0,X1) ),
inference(cnf_transformation,[],[f1014]) ).
fof(f2084,plain,
relation_of2_as_subset(sK264,sK261,sK262),
inference(cnf_transformation,[],[f1162]) ).
fof(f2085,plain,
quasi_total(sK264,sK261,sK262),
inference(cnf_transformation,[],[f1162]) ).
fof(f2086,plain,
function(sK264),
inference(cnf_transformation,[],[f1162]) ).
fof(f2087,plain,
in(sK263,sK261),
inference(cnf_transformation,[],[f1162]) ).
fof(f2088,plain,
~ in(apply(sK264,sK263),relation_rng(sK264)),
inference(cnf_transformation,[],[f1162]) ).
fof(f2089,plain,
empty_set != sK262,
inference(cnf_transformation,[],[f1162]) ).
fof(f2511,plain,
! [X0,X1,X6] :
( in(apply(X0,X6),X1)
| ~ in(X6,relation_dom(X0))
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f1411]) ).
fof(f2512,plain,
! [X0,X6] :
( ~ relation(X0)
| ~ in(X6,relation_dom(X0))
| in(apply(X0,X6),relation_rng(X0))
| ~ function(X0) ),
inference(equality_resolution,[],[f2511]) ).
fof(f2690,plain,
( sK261 = relation_dom_as_subset(sK261,sK262,sK264)
| empty_set = sK262
| ~ relation_of2_as_subset(sK264,sK261,sK262) ),
inference(resolution,[],[f2085,f1258]) ).
fof(f2691,plain,
( sK261 = relation_dom_as_subset(sK261,sK262,sK264)
| ~ relation_of2_as_subset(sK264,sK261,sK262) ),
inference(forward_subsumption_resolution,[],[f2690,f2089]) ).
fof(f2692,plain,
sK261 = relation_dom_as_subset(sK261,sK262,sK264),
inference(forward_subsumption_resolution,[],[f2691,f2084]) ).
fof(f2693,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X2,X0,X1)
| relation_dom_as_subset(X0,X1,X2) = relation_dom(X2) ),
inference(resolution,[],[f1656,f1661]) ).
fof(f2694,plain,
relation_dom_as_subset(sK261,sK262,sK264) = relation_dom(sK264),
inference(resolution,[],[f2693,f2084]) ).
fof(f2695,plain,
sK261 = relation_dom(sK264),
inference(forward_demodulation,[],[f2694,f2692]) ).
fof(f2703,plain,
! [X2,X0,X1] :
( ~ relation_of2_as_subset(X0,X1,X2)
| relation(X0) ),
inference(resolution,[],[f1179,f1500]) ).
fof(f2704,plain,
relation(sK264),
inference(resolution,[],[f2703,f2084]) ).
fof(f2708,plain,
! [X0] :
( ~ in(X0,relation_dom(sK264))
| in(apply(sK264,X0),relation_rng(sK264))
| ~ function(sK264) ),
inference(resolution,[],[f2704,f2512]) ).
fof(f2709,plain,
! [X0] :
( ~ in(X0,relation_dom(sK264))
| in(apply(sK264,X0),relation_rng(sK264)) ),
inference(forward_subsumption_resolution,[],[f2708,f2086]) ).
fof(f2712,plain,
! [X0] :
( in(apply(sK264,X0),relation_rng(sK264))
| ~ in(X0,sK261) ),
inference(forward_demodulation,[],[f2709,f2695]) ).
fof(f2721,plain,
$false,
inference(unit_resulting_resolution,[],[f2712,f2087,f2088]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU290+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.36 % Computer : n002.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 04:34:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 8.76/2.09 % (4146988)Detected formulas, will run a generic FOF schedule.
% 8.76/2.09 % (4146997)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2314919858:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.76/2.09 % (4146999)dis-21_1_sil=8000:lcm=predicate:random_seed=3931902511:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 8.76/2.09 % (4146993)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=1958171593:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.76/2.09 % (4146994)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=250138899:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.76/2.09 % (4146996)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=21199582:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.76/2.09 % (4146995)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=509982721:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.76/2.09 % (4146998)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=311225086:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.76/2.09 % (4146997)Instruction limit reached!
% 8.76/2.09 % (4146997)------------------------------
% 8.76/2.09 % (4146997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.09 % (4146997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.09 % (4146997)CaDiCaL version: 2.1.3
% 8.76/2.09 % (4146997)Termination reason: Instruction limit
% 8.76/2.09 % (4146997)Termination phase: Saturation
% 8.76/2.09 % (4146997)Time elapsed: 0.045 s
% 8.76/2.09 % (4146997)Peak memory usage: 91 MB
% 8.76/2.09 % (4146997)Instructions burned: 122 (million)
% 8.76/2.09 % (4146999)Instruction limit reached!
% 8.76/2.09 % (4146999)------------------------------
% 8.76/2.09 % (4146999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.09 % (4146999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.09 % (4146999)CaDiCaL version: 2.1.3
% 8.76/2.09 % (4146999)Termination reason: Instruction limit
% 8.76/2.09 % (4146999)Termination phase: Saturation
% 8.76/2.09 % (4146999)Time elapsed: 0.063 s
% 8.76/2.09 % (4146999)Peak memory usage: 90 MB
% 8.76/2.09 % (4146999)Instructions burned: 131 (million)
% 8.76/2.09 % (4146996)Instruction limit reached!
% 8.76/2.09 % (4146996)------------------------------
% 8.76/2.09 % (4146996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.09 % (4146996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.09 % (4146996)CaDiCaL version: 2.1.3
% 8.76/2.09 % (4146996)Termination reason: Instruction limit
% 8.76/2.09 % (4146996)Termination phase: Saturation
% 8.76/2.09 % (4146996)Time elapsed: 0.063 s
% 8.76/2.09 % (4146996)Peak memory usage: 91 MB
% 8.76/2.09 % (4146996)Instructions burned: 109 (million)
% 8.76/2.09 % (4147007)lrs+10_1_sil=8000:sp=occurrence:random_seed=251497368:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.76/2.09 % (4146998)Instruction limit reached!
% 8.76/2.09 % (4146998)------------------------------
% 8.76/2.09 % (4146998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.09 % (4146998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.09 % (4146998)CaDiCaL version: 2.1.3
% 8.76/2.09 % (4146998)Termination reason: Instruction limit
% 8.76/2.09 % (4146998)Termination phase: Saturation
% 8.76/2.09 % (4146998)Time elapsed: 0.095 s
% 8.76/2.09 % (4146998)Peak memory usage: 91 MB
% 8.76/2.09 % (4146998)Instructions burned: 141 (million)
% 8.76/2.09 % (4147007)Instruction limit reached!
% 8.76/2.09 % (4147007)------------------------------
% 8.76/2.09 % (4147007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.09 % (4147007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.09 % (4147007)CaDiCaL version: 2.1.3
% 8.76/2.09 % (4147007)Termination reason: Instruction limit
% 8.76/2.09 % (4147007)Termination phase: Saturation
% 8.76/2.09 % (4147007)Time elapsed: 0.104 s
% 8.76/2.09 % (4147007)Peak memory usage: 94 MB
% 8.76/2.09 % (4147007)Instructions burned: 287 (million)
% 8.76/2.09 % (4147009)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2500431530:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.76/2.09 % (4147008)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1601703321:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.76/2.09 % (4147011)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=2454780098:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 8.76/2.09 % (4147014)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4235269919:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 8.76/2.09 % (4147008)Instruction limit reached!
% 8.76/2.09 % (4147008)------------------------------
% 8.76/2.09 % (4147008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.09 % (4147008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.09 % (4147008)CaDiCaL version: 2.1.3
% 8.76/2.09 % (4147008)Termination reason: Instruction limit
% 8.76/2.09 % (4147008)Termination phase: Saturation
% 8.76/2.09 % (4147008)Time elapsed: 0.082 s
% 8.76/2.09 % (4147008)Peak memory usage: 91 MB
% 8.76/2.09 % (4147008)Instructions burned: 157 (million)
% 8.76/2.09 % (4147011)Instruction limit reached!
% 8.76/2.09 % (4147011)------------------------------
% 8.76/2.09 % (4147011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.09 % (4147011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.09 % (4147011)CaDiCaL version: 2.1.3
% 8.76/2.09 % (4147011)Termination reason: Instruction limit
% 8.76/2.09 % (4147011)Termination phase: Saturation
% 8.76/2.09 % (4147011)Time elapsed: 0.135 s
% 8.76/2.09 % (4147011)Peak memory usage: 93 MB
% 8.76/2.09 % (4147011)Instructions burned: 248 (million)
% 8.76/2.09 % (4147014)Instruction limit reached!
% 8.76/2.09 % (4147014)------------------------------
% 8.76/2.09 % (4147014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.09 % (4147014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.09 % (4147014)CaDiCaL version: 2.1.3
% 8.76/2.09 % (4147014)Termination reason: Instruction limit
% 8.76/2.09 % (4147014)Termination phase: Saturation
% 8.76/2.09 % (4147014)Time elapsed: 0.101 s
% 8.76/2.09 % (4147014)Peak memory usage: 92 MB
% 8.76/2.09 % (4147014)Instructions burned: 295 (million)
% 8.76/2.09 % (4147017)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3849127419:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 8.76/2.09 % (4147009)Instruction limit reached!
% 8.76/2.09 % (4147009)------------------------------
% 8.76/2.09 % (4147009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.09 % (4147009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.09 % (4147009)CaDiCaL version: 2.1.3
% 8.76/2.09 % (4147009)Termination reason: Instruction limit
% 8.76/2.09 % (4147009)Termination phase: Saturation
% 8.76/2.09 % (4147009)Time elapsed: 0.231 s
% 8.76/2.09 % (4147009)Peak memory usage: 94 MB
% 8.76/2.09 % (4147009)Instructions burned: 325 (million)
% 8.76/2.09 % (4147019)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4064224099:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 8.76/2.09 % (4147018)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=952968126:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 8.76/2.09 % (4147019)Instruction limit reached!
% 8.76/2.09 % (4147019)------------------------------
% 8.76/2.09 % (4147019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.09 % (4147019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.09 % (4147019)CaDiCaL version: 2.1.3
% 8.76/2.09 % (4147019)Termination reason: Instruction limit
% 8.76/2.09 % (4147019)Termination phase: Saturation
% 8.76/2.09 % (4147019)Time elapsed: 0.037 s
% 8.76/2.09 % (4147019)Peak memory usage: 90 MB
% 8.76/2.09 % (4147019)Instructions burned: 127 (million)
% 8.76/2.09 % (4147018)Instruction limit reached!
% 8.76/2.09 % (4147018)------------------------------
% 8.76/2.09 % (4147018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.09 % (4147018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.09 % (4147018)CaDiCaL version: 2.1.3
% 8.76/2.09 % (4147018)Termination reason: Instruction limit
% 8.76/2.09 % (4147018)Termination phase: Saturation
% 8.76/2.09 % (4147018)Time elapsed: 0.071 s
% 8.76/2.09 % (4147018)Peak memory usage: 91 MB
% 8.76/2.09 % (4147018)Instructions burned: 114 (million)
% 8.76/2.09 % (4147021)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2725191535:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2994 on theBenchmark for (2994ds/114Mi)
% 8.76/2.09 % (4147024)lrs+10_1_sil=8000:sp=occurrence:random_seed=2032031391:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2993 on theBenchmark for (2993ds/907Mi)
% 8.76/2.09 % (4147021)Instruction limit reached!
% 8.76/2.09 % (4147021)------------------------------
% 8.76/2.09 % (4147021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.09 % (4147021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.09 % (4147021)CaDiCaL version: 2.1.3
% 8.76/2.09 % (4147021)Termination reason: Instruction limit
% 8.76/2.09 % (4147021)Termination phase: Saturation
% 8.76/2.09 % (4147021)Time elapsed: 0.070 s
% 8.76/2.09 % (4147021)Peak memory usage: 89 MB
% 8.76/2.09 % (4147021)Instructions burned: 114 (million)
% 8.76/2.09 % (4147025)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=918114244:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 8.76/2.09 % (4147028)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1731042727:i=5202:ss=axioms:sgt=16_2991 on theBenchmark for (2991ds/5202Mi)
% 8.76/2.09 % (4146994)First to succeed.
% 8.76/2.09 % (4146993)Also succeeded, but the first one will report.
% 8.76/2.09 % (4146994)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4146988"
% 8.76/2.09 % (4146995)Also succeeded, but the first one will report.
% 8.76/2.09 % (4147024)Instruction limit reached!
% 8.76/2.09 % (4147024)------------------------------
% 8.76/2.09 % (4147024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.09 % (4147024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.09 % (4147024)CaDiCaL version: 2.1.3
% 8.76/2.09 % (4147024)Termination reason: Instruction limit
% 8.76/2.09 % (4147024)Termination phase: Saturation
% 8.76/2.09 % (4147024)Time elapsed: 0.317 s
% 8.76/2.09 % (4147024)Peak memory usage: 104 MB
% 8.76/2.09 % (4147024)Instructions burned: 908 (million)
% 8.76/2.09 % (4147025)Instruction limit reached!
% 8.76/2.09 % (4147025)------------------------------
% 8.76/2.09 % (4147025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.09 % (4147025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.09 % (4147025)CaDiCaL version: 2.1.3
% 8.76/2.09 % (4147025)Termination reason: Instruction limit
% 8.76/2.09 % (4147025)Termination phase: Saturation
% 8.76/2.09 % (4147025)Time elapsed: 0.274 s
% 8.76/2.09 % (4147025)Peak memory usage: 94 MB
% 8.76/2.09 % (4147025)Instructions burned: 437 (million)
% 8.76/2.09 % (4147031)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1007887097:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2989 on theBenchmark for (2989ds/134Mi)
% 8.76/2.09 % (4147031)Instruction limit reached!
% 8.76/2.09 % (4147031)------------------------------
% 8.76/2.09 % (4147031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.76/2.09 % (4147031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.76/2.09 % (4147031)CaDiCaL version: 2.1.3
% 8.76/2.09 % (4147031)Termination reason: Instruction limit
% 8.76/2.09 % (4147031)Termination phase: Saturation
% 8.76/2.09 % (4147031)Time elapsed: 0.043 s
% 8.76/2.09 % (4147031)Peak memory usage: 92 MB
% 8.76/2.09 % (4147031)Instructions burned: 137 (million)
% 8.76/2.09 % (4146994)Refutation found. Thanks to Tanya!
% 8.76/2.09 % SZS status Theorem for theBenchmark
% 8.76/2.09 % SZS output start Proof for theBenchmark
% See solution above
% 9.31/2.28 % (4146994)------------------------------
% 9.31/2.28 % (4146994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.31/2.28 % (4146994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.31/2.28 % (4146994)CaDiCaL version: 2.1.3
% 9.31/2.28 % (4146994)Termination reason: Refutation
% 9.31/2.28 % (4146994)Time elapsed: 0.832 s
% 9.31/2.28 % (4146994)Peak memory usage: 142 MB
% 9.31/2.28 % (4146994)Instructions burned: 1310 (million)
% 9.31/2.28 % (4146994)------------------------------
% 9.31/2.28 % (4146994)------------------------------
% 9.31/2.28 % (4146988)Success in time 1.257 s
% 9.31/2.28 % Vampire exiting
%------------------------------------------------------------------------------