%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU355+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 : n018.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 12:48:30 PM UTC 2026
% Result : Theorem 4.79s 1.66s
% Output : Refutation 4.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 43 ( 9 unt; 2 def)
% Number of atoms : 167 ( 8 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 205 ( 81 ~; 76 |; 27 &)
% ( 9 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 77 ( 0 sgn 69 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f89,axiom,
! [X0] :
( X0 = empty_set
<=> ! [X1] : ~ in(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
fof(f145,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1,X2] :
( element(X2,the_carrier(X0))
=> ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X1)
=> related(X0,X2,X3) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d8_lattice3) ).
fof(f153,axiom,
! [X0] :
( rel_str(X0)
=> ! [X1,X2] :
( element(X2,the_carrier(X0))
=> ( relstr_set_smaller(X0,X1,X2)
<=> ! [X3] :
( element(X3,the_carrier(X0))
=> ( in(X3,X1)
=> related(X0,X3,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_lattice3) ).
fof(f643,conjecture,
! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ( relstr_set_smaller(X0,empty_set,X1)
& relstr_element_smaller(X0,empty_set,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_yellow_0) ).
fof(f644,negated_conjecture,
~ ! [X0] :
( rel_str(X0)
=> ! [X1] :
( element(X1,the_carrier(X0))
=> ( relstr_set_smaller(X0,empty_set,X1)
& relstr_element_smaller(X0,empty_set,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f643]) ).
fof(f678,plain,
? [X0] :
( ? [X1] :
( ( ~ relstr_set_smaller(X0,empty_set,X1)
| ~ relstr_element_smaller(X0,empty_set,X1) )
& element(X1,the_carrier(X0)) )
& rel_str(X0) ),
inference(ennf_transformation,[],[f644]) ).
fof(f683,plain,
! [X0] :
( ! [X1,X2] :
( ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f145]) ).
fof(f684,plain,
! [X0] :
( ! [X1,X2] :
( ( relstr_element_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f683]) ).
fof(f685,plain,
! [X0] :
( ! [X1,X2] :
( ( relstr_set_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X3,X2)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(ennf_transformation,[],[f153]) ).
fof(f686,plain,
! [X0] :
( ! [X1,X2] :
( ( relstr_set_smaller(X0,X1,X2)
<=> ! [X3] :
( related(X0,X3,X2)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(flattening,[],[f685]) ).
fof(f687,plain,
( ( ~ relstr_set_smaller(sK0,empty_set,sK1)
| ~ relstr_element_smaller(sK0,empty_set,sK1) )
& element(sK1,the_carrier(sK0))
& rel_str(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f678]) ).
fof(f691,plain,
! [X0] :
( ( X0 = empty_set
| ? [X1] : in(X1,X0) )
& ( ! [X1] : ~ in(X1,X0)
| empty_set != X0 ) ),
inference(nnf_transformation,[],[f89]) ).
fof(f692,plain,
! [X0] :
( ( X0 = empty_set
| ? [X1] : in(X1,X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(rectify,[],[f691]) ).
fof(f693,plain,
! [X0] :
( ( X0 = empty_set
| in(sK6(X0),X0) )
& ( ! [X2] : ~ in(X2,X0)
| empty_set != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f692]) ).
fof(f694,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& in(X3,X1)
& element(X3,the_carrier(X0)) ) )
& ( ! [X3] :
( related(X0,X2,X3)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f684]) ).
fof(f695,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X2,X3)
& in(X3,X1)
& element(X3,the_carrier(X0)) ) )
& ( ! [X4] :
( related(X0,X2,X4)
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(rectify,[],[f694]) ).
fof(f696,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_element_smaller(X0,X1,X2)
| ( ~ related(X0,X2,sK7(X0,X1,X2))
& in(sK7(X0,X1,X2),X1)
& element(sK7(X0,X1,X2),the_carrier(X0)) ) )
& ( ! [X4] :
( related(X0,X2,X4)
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0)) )
| ~ relstr_element_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X3,sK7(X0,X1,X2))],[f695]) ).
fof(f697,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X3,X2)
& in(X3,X1)
& element(X3,the_carrier(X0)) ) )
& ( ! [X3] :
( related(X0,X3,X2)
| ~ in(X3,X1)
| ~ element(X3,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(nnf_transformation,[],[f686]) ).
fof(f698,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_set_smaller(X0,X1,X2)
| ? [X3] :
( ~ related(X0,X3,X2)
& in(X3,X1)
& element(X3,the_carrier(X0)) ) )
& ( ! [X4] :
( related(X0,X4,X2)
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(rectify,[],[f697]) ).
fof(f699,plain,
! [X0] :
( ! [X1,X2] :
( ( ( relstr_set_smaller(X0,X1,X2)
| ( ~ related(X0,sK8(X0,X1,X2),X2)
& in(sK8(X0,X1,X2),X1)
& element(sK8(X0,X1,X2),the_carrier(X0)) ) )
& ( ! [X4] :
( related(X0,X4,X2)
| ~ in(X4,X1)
| ~ element(X4,the_carrier(X0)) )
| ~ relstr_set_smaller(X0,X1,X2) ) )
| ~ element(X2,the_carrier(X0)) )
| ~ rel_str(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X3,sK8(X0,X1,X2))],[f698]) ).
fof(f700,plain,
rel_str(sK0),
inference(cnf_transformation,[],[f687]) ).
fof(f701,plain,
element(sK1,the_carrier(sK0)),
inference(cnf_transformation,[],[f687]) ).
fof(f702,plain,
( ~ relstr_set_smaller(sK0,empty_set,sK1)
| ~ relstr_element_smaller(sK0,empty_set,sK1) ),
inference(cnf_transformation,[],[f687]) ).
fof(f712,plain,
! [X2,X0] :
( ~ in(X2,X0)
| empty_set != X0 ),
inference(cnf_transformation,[],[f693]) ).
fof(f716,plain,
! [X2,X0,X1] :
( in(sK7(X0,X1,X2),X1)
| relstr_element_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f696]) ).
fof(f720,plain,
! [X2,X0,X1] :
( in(sK8(X0,X1,X2),X1)
| relstr_set_smaller(X0,X1,X2)
| ~ element(X2,the_carrier(X0))
| ~ rel_str(X0) ),
inference(cnf_transformation,[],[f699]) ).
fof(f722,plain,
! [X2] : ~ in(X2,empty_set),
inference(equality_resolution,[],[f712]) ).
fof(f724,definition,
( spl9_1
<=> relstr_element_smaller(sK0,empty_set,sK1) ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f726,plain,
( ~ relstr_element_smaller(sK0,empty_set,sK1)
| spl9_1 ),
inference(avatar_component_clause,[],[f724]) ).
fof(f728,definition,
( spl9_2
<=> relstr_set_smaller(sK0,empty_set,sK1) ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
fof(f730,plain,
( ~ relstr_set_smaller(sK0,empty_set,sK1)
| spl9_2 ),
inference(avatar_component_clause,[],[f728]) ).
fof(f731,plain,
( ~ spl9_1
| ~ spl9_2 ),
inference(avatar_split_clause,[],[f702,f728,f724]) ).
fof(f741,plain,
( ~ rel_str(sK0)
| spl9_1 ),
inference(unit_resulting_resolution,[],[f716,f701,f726,f722]) ).
fof(f750,plain,
( $false
| spl9_1 ),
inference(forward_subsumption_resolution,[],[f741,f700]) ).
fof(f751,plain,
spl9_1,
inference(avatar_contradiction_clause,[],[f750]) ).
fof(f757,plain,
( ~ rel_str(sK0)
| spl9_2 ),
inference(unit_resulting_resolution,[],[f720,f701,f730,f722]) ).
fof(f766,plain,
( $false
| spl9_2 ),
inference(forward_subsumption_resolution,[],[f757,f700]) ).
fof(f767,plain,
spl9_2,
inference(avatar_contradiction_clause,[],[f766]) ).
cnf(s1,plain,
( ~ spl9_1
| ~ spl9_2 ),
inference(sat_conversion,[],[f731]) ).
cnf(s6,plain,
spl9_1,
inference(sat_conversion,[],[f751]) ).
cnf(s11,plain,
spl9_2,
inference(sat_conversion,[],[f767]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s1,s11,s6]) ).
fof(f768,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU355+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n018.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 04:55:40 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 3.12/1.47 % (2997711)Detected formulas, will run a generic FOF schedule.
% 3.12/1.47 % (2997721)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1782874188:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.12/1.47 % (2997722)dis-21_1_sil=8000:lcm=predicate:random_seed=4089567490: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)
% 3.12/1.47 % (2997719)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2899569051:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.12/1.47 % (2997716)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=1139559004:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.12/1.47 % (2997717)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=1690681429:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.12/1.47 % (2997718)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=2066237411:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.12/1.47 % (2997721)Instruction limit reached!
% 3.12/1.47 % (2997721)------------------------------
% 3.12/1.47 % (2997721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.47 % (2997721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.47 % (2997721)CaDiCaL version: 2.1.3
% 3.12/1.47 % (2997721)Termination reason: Instruction limit
% 3.12/1.47 % (2997721)Termination phase: Saturation
% 3.12/1.47 % (2997721)Time elapsed: 0.051 s
% 3.12/1.47 % (2997721)Peak memory usage: 92 MB
% 3.12/1.47 % (2997721)Instructions burned: 142 (million)
% 3.12/1.47 % (2997720)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3683953897:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.12/1.47 % (2997719)Instruction limit reached!
% 3.12/1.47 % (2997719)------------------------------
% 3.12/1.47 % (2997719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.47 % (2997719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.47 % (2997719)CaDiCaL version: 2.1.3
% 3.12/1.47 % (2997719)Termination reason: Instruction limit
% 3.12/1.47 % (2997719)Termination phase: Saturation
% 3.12/1.47 % (2997719)Time elapsed: 0.060 s
% 3.12/1.47 % (2997719)Peak memory usage: 91 MB
% 3.12/1.47 % (2997719)Instructions burned: 110 (million)
% 3.12/1.47 % (2997722)Instruction limit reached!
% 3.12/1.47 % (2997722)------------------------------
% 3.12/1.47 % (2997722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.47 % (2997722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.47 % (2997722)CaDiCaL version: 2.1.3
% 3.12/1.47 % (2997722)Termination reason: Instruction limit
% 3.12/1.47 % (2997722)Termination phase: Saturation
% 3.12/1.47 % (2997722)Time elapsed: 0.067 s
% 3.12/1.47 % (2997722)Peak memory usage: 91 MB
% 3.12/1.47 % (2997722)Instructions burned: 130 (million)
% 3.12/1.47 % (2997720)Instruction limit reached!
% 3.12/1.47 % (2997720)------------------------------
% 3.12/1.47 % (2997720)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.47 % (2997720)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.47 % (2997720)CaDiCaL version: 2.1.3
% 3.12/1.47 % (2997720)Termination reason: Instruction limit
% 3.12/1.47 % (2997720)Termination phase: Saturation
% 3.12/1.47 % (2997720)Time elapsed: 0.075 s
% 3.12/1.47 % (2997720)Peak memory usage: 91 MB
% 3.12/1.47 % (2997720)Instructions burned: 119 (million)
% 3.12/1.47 % (2997729)lrs+10_1_sil=8000:sp=occurrence:random_seed=2520178679:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.12/1.47 % (2997731)lrs+10_1_sil=32000:urr=on:br=off:random_seed=242674048:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.12/1.47 % (2997731)First to succeed.
% 3.12/1.47 % (2997731)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2997711"
% 3.12/1.47 % (2997732)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2715028956:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.12/1.47 % (2997733)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=967335301:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.79/1.66 % (2997729)Instruction limit reached!
% 4.79/1.66 % (2997729)------------------------------
% 4.79/1.66 % (2997729)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.66 % (2997729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.66 % (2997729)CaDiCaL version: 2.1.3
% 4.79/1.66 % (2997729)Termination reason: Instruction limit
% 4.79/1.66 % (2997729)Termination phase: Saturation
% 4.79/1.66 % (2997729)Time elapsed: 0.102 s
% 4.79/1.66 % (2997729)Peak memory usage: 95 MB
% 4.79/1.66 % (2997729)Instructions burned: 287 (million)
% 4.79/1.66 % (2997733)Also succeeded, but the first one will report.
% 4.79/1.66 % (2997738)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3054023551:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.79/1.66 % (2997738)Instruction limit reached!
% 4.79/1.66 % (2997738)------------------------------
% 4.79/1.66 % (2997738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.66 % (2997738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.66 % (2997738)CaDiCaL version: 2.1.3
% 4.79/1.66 % (2997738)Termination reason: Instruction limit
% 4.79/1.66 % (2997738)Termination phase: Saturation
% 4.79/1.66 % (2997738)Time elapsed: 0.099 s
% 4.79/1.66 % (2997738)Peak memory usage: 93 MB
% 4.79/1.66 % (2997738)Instructions burned: 297 (million)
% 4.79/1.66 % (2997732)Instruction limit reached!
% 4.79/1.66 % (2997732)------------------------------
% 4.79/1.66 % (2997732)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.66 % (2997732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.66 % (2997732)CaDiCaL version: 2.1.3
% 4.79/1.66 % (2997732)Termination reason: Instruction limit
% 4.79/1.66 % (2997732)Termination phase: Saturation
% 4.79/1.66 % (2997732)Time elapsed: 0.223 s
% 4.79/1.66 % (2997732)Peak memory usage: 95 MB
% 4.79/1.66 % (2997732)Instructions burned: 327 (million)
% 4.79/1.66 % (2997731)Refutation found. Thanks to Tanya!
% 4.79/1.66 % SZS status Theorem for theBenchmark
% 4.79/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 4.79/1.66 % (2997731)------------------------------
% 4.79/1.66 % (2997731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.79/1.66 % (2997731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.79/1.66 % (2997731)CaDiCaL version: 2.1.3
% 4.79/1.66 % (2997731)Termination reason: Refutation
% 4.79/1.66 % (2997731)Time elapsed: 0.009 s
% 4.79/1.66 % (2997731)Peak memory usage: 90 MB
% 4.79/1.66 % (2997731)Instructions burned: 12 (million)
% 4.79/1.66 % (2997731)------------------------------
% 4.79/1.66 % (2997731)------------------------------
% 4.79/1.66 % (2997711)Success in time 0.614 s
% 4.79/1.66 % Vampire exiting
%------------------------------------------------------------------------------