%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PHI012+1 : TPTP v9.3.1. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 12:27:28 PM UTC 2026
% Result : Theorem 0.12s 0.46s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 91 ( 16 unt; 9 def)
% Number of atoms : 322 ( 20 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 368 ( 137 ~; 163 |; 46 &)
% ( 11 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 10 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 65 ( 0 sgn 49 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( object(X0)
=> ( exemplifies_property(none_greater,X0)
<=> ( exemplifies_property(conceivable,X0)
& ~ ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_none_greater) ).
fof(f2,axiom,
! [X0,X1] :
( ( object(X0)
& object(X1) )
=> ( exemplifies_relation(greater_than,X0,X1)
| exemplifies_relation(greater_than,X1,X0)
| X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',connectedness_of_greater_than) ).
fof(f3,conjecture,
( ? [X0] :
( object(X0)
& exemplifies_property(none_greater,X0) )
=> ? [X0] :
( object(X0)
& exemplifies_property(none_greater,X0)
& ! [X1] :
( object(X1)
=> ( exemplifies_property(none_greater,X1)
=> X1 = X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lemma_2) ).
fof(f4,negated_conjecture,
~ ( ? [X0] :
( object(X0)
& exemplifies_property(none_greater,X0) )
=> ? [X0] :
( object(X0)
& exemplifies_property(none_greater,X0)
& ! [X1] :
( object(X1)
=> ( exemplifies_property(none_greater,X1)
=> X1 = X0 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ ( ? [X0] :
( object(X0)
& exemplifies_property(none_greater,X0) )
=> ? [X1] :
( object(X1)
& exemplifies_property(none_greater,X1)
& ! [X2] :
( object(X2)
=> ( exemplifies_property(none_greater,X2)
=> X1 = X2 ) ) ) ),
inference(rectify,[],[f4]) ).
fof(f6,plain,
! [X0] :
( ( exemplifies_property(none_greater,X0)
<=> ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ object(X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ exemplifies_property(conceivable,X1) ) ) )
| ~ object(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f7,plain,
! [X0,X1] :
( exemplifies_relation(greater_than,X0,X1)
| exemplifies_relation(greater_than,X1,X0)
| X0 = X1
| ~ object(X0)
| ~ object(X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f8,plain,
! [X0,X1] :
( exemplifies_relation(greater_than,X0,X1)
| exemplifies_relation(greater_than,X1,X0)
| X0 = X1
| ~ object(X0)
| ~ object(X1) ),
inference(flattening,[],[f7]) ).
fof(f9,plain,
( ! [X1] :
( ~ object(X1)
| ~ exemplifies_property(none_greater,X1)
| ? [X2] :
( X1 != X2
& exemplifies_property(none_greater,X2)
& object(X2) ) )
& ? [X0] :
( object(X0)
& exemplifies_property(none_greater,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f10,plain,
( ! [X1] :
( ~ object(X1)
| ~ exemplifies_property(none_greater,X1)
| ? [X2] :
( X1 != X2
& exemplifies_property(none_greater,X2)
& object(X2) ) )
& ? [X0] :
( object(X0)
& exemplifies_property(none_greater,X0) ) ),
inference(flattening,[],[f9]) ).
fof(f11,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) ) )
& ( ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ object(X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ exemplifies_property(conceivable,X1) ) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(nnf_transformation,[],[f6]) ).
fof(f12,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) ) )
& ( ( exemplifies_property(conceivable,X0)
& ! [X1] :
( ~ object(X1)
| ~ exemplifies_relation(greater_than,X1,X0)
| ~ exemplifies_property(conceivable,X1) ) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ? [X1] :
( object(X1)
& exemplifies_relation(greater_than,X1,X0)
& exemplifies_property(conceivable,X1) ) )
& ( ( exemplifies_property(conceivable,X0)
& ! [X2] :
( ~ object(X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ exemplifies_property(conceivable,X2) ) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(rectify,[],[f12]) ).
fof(f14,plain,
! [X0] :
( ( ( exemplifies_property(none_greater,X0)
| ~ exemplifies_property(conceivable,X0)
| ( object(sK0(X0))
& exemplifies_relation(greater_than,sK0(X0),X0)
& exemplifies_property(conceivable,sK0(X0)) ) )
& ( ( exemplifies_property(conceivable,X0)
& ! [X2] :
( ~ object(X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ exemplifies_property(conceivable,X2) ) )
| ~ exemplifies_property(none_greater,X0) ) )
| ~ object(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f13]) ).
fof(f15,plain,
( ! [X0] :
( ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| ? [X1] :
( X0 != X1
& exemplifies_property(none_greater,X1)
& object(X1) ) )
& ? [X2] :
( object(X2)
& exemplifies_property(none_greater,X2) ) ),
inference(rectify,[],[f10]) ).
fof(f16,plain,
( ! [X0] :
( ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| ( sK1(X0) != X0
& exemplifies_property(none_greater,sK1(X0))
& object(sK1(X0)) ) )
& object(sK2)
& exemplifies_property(none_greater,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X1,sK1(X0)),skolemize(X2,sK2)],[f15]) ).
fof(f17,plain,
! [X2,X0] :
( ~ object(X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f18,plain,
! [X0] :
( exemplifies_property(conceivable,X0)
| ~ exemplifies_property(none_greater,X0)
| ~ object(X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f22,plain,
! [X0,X1] :
( exemplifies_relation(greater_than,X0,X1)
| exemplifies_relation(greater_than,X1,X0)
| X0 = X1
| ~ object(X0)
| ~ object(X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f23,plain,
exemplifies_property(none_greater,sK2),
inference(cnf_transformation,[],[f16]) ).
fof(f24,plain,
object(sK2),
inference(cnf_transformation,[],[f16]) ).
fof(f25,plain,
! [X0] :
( ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| object(sK1(X0)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f26,plain,
! [X0] :
( ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| exemplifies_property(none_greater,sK1(X0)) ),
inference(cnf_transformation,[],[f16]) ).
fof(f27,plain,
! [X0] :
( ~ object(X0)
| ~ exemplifies_property(none_greater,X0)
| sK1(X0) != X0 ),
inference(cnf_transformation,[],[f16]) ).
fof(f31,plain,
! [X0] :
( exemplifies_property(conceivable,X0)
| ~ exemplifies_property(none_greater,X0)
| object(X0) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f32,plain,
! [X2,X0] :
( object(X2)
| ~ exemplifies_relation(greater_than,X2,X0)
| ~ exemplifies_property(conceivable,X2)
| ~ exemplifies_property(none_greater,X0)
| object(X0) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f33,plain,
! [X0,X1] :
( object(X1)
| exemplifies_relation(greater_than,X1,X0)
| X0 = X1
| object(X0)
| exemplifies_relation(greater_than,X0,X1) ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f34,plain,
! [X0] :
( ~ exemplifies_property(none_greater,X0)
| object(X0)
| sK1(X0) != X0 ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f35,plain,
! [X0] :
( exemplifies_property(none_greater,sK1(X0))
| ~ exemplifies_property(none_greater,X0)
| object(X0) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f36,plain,
! [X0] :
( ~ exemplifies_property(none_greater,X0)
| object(X0)
| ~ object(sK1(X0)) ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f37,plain,
~ object(sK2),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f38,plain,
( object(sK2)
| ~ object(sK1(sK2)) ),
inference(resolution,[],[f36,f23]) ).
fof(f40,definition,
( spl3_1
<=> object(sK1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f42,plain,
( ~ object(sK1(sK2))
| spl3_1 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f44,definition,
( spl3_2
<=> object(sK2) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f46,plain,
( object(sK2)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f47,plain,
( ~ spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f38,f44,f40]) ).
fof(f48,plain,
( object(sK2)
| sK2 != sK1(sK2) ),
inference(resolution,[],[f34,f23]) ).
fof(f50,definition,
( spl3_3
<=> sK2 = sK1(sK2) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f53,plain,
( ~ spl3_3
| spl3_2 ),
inference(avatar_split_clause,[],[f48,f44,f50]) ).
fof(f62,definition,
( spl3_5
<=> exemplifies_property(none_greater,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f64,plain,
( ~ exemplifies_property(none_greater,sK2)
| spl3_5 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f66,plain,
( $false
| spl3_5 ),
inference(resolution,[],[f64,f23]) ).
fof(f67,plain,
spl3_5,
inference(avatar_contradiction_clause,[],[f66]) ).
fof(f74,definition,
( spl3_7
<=> exemplifies_property(none_greater,sK1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f76,plain,
( ~ exemplifies_property(none_greater,sK1(sK2))
| spl3_7 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f78,plain,
( ~ exemplifies_property(none_greater,sK2)
| object(sK2)
| spl3_7 ),
inference(resolution,[],[f76,f35]) ).
fof(f79,plain,
( spl3_2
| ~ spl3_5
| spl3_7 ),
inference(avatar_split_clause,[],[f78,f74,f62,f44]) ).
fof(f99,plain,
( $false
| ~ spl3_2 ),
inference(resolution,[],[f46,f37]) ).
fof(f100,plain,
~ spl3_2,
inference(avatar_contradiction_clause,[],[f99]) ).
fof(f463,plain,
! [X0] :
( ~ exemplifies_relation(greater_than,sK2,X0)
| ~ exemplifies_property(conceivable,sK2)
| ~ exemplifies_property(none_greater,X0)
| object(X0) ),
inference(resolution,[],[f32,f37]) ).
fof(f478,plain,
( ! [X0] :
( ~ exemplifies_relation(greater_than,sK1(sK2),X0)
| ~ exemplifies_property(conceivable,sK1(sK2))
| ~ exemplifies_property(none_greater,X0)
| object(X0) )
| spl3_1 ),
inference(resolution,[],[f32,f42]) ).
fof(f543,definition,
( spl3_77
<=> exemplifies_property(conceivable,sK1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl3_77])],[avatar_definition]) ).
fof(f545,plain,
( ~ exemplifies_property(conceivable,sK1(sK2))
| spl3_77 ),
inference(avatar_component_clause,[],[f543]) ).
fof(f547,definition,
( spl3_78
<=> ! [X0] :
( ~ exemplifies_relation(greater_than,sK1(sK2),X0)
| object(X0)
| ~ exemplifies_property(none_greater,X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_78])],[avatar_definition]) ).
fof(f548,plain,
( ! [X0] :
( ~ exemplifies_relation(greater_than,sK1(sK2),X0)
| object(X0)
| ~ exemplifies_property(none_greater,X0) )
| ~ spl3_78 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f549,plain,
( ~ spl3_77
| spl3_78
| spl3_1 ),
inference(avatar_split_clause,[],[f478,f40,f547,f543]) ).
fof(f635,definition,
( spl3_100
<=> exemplifies_property(conceivable,sK2) ),
introduced(definition,[new_symbols(definition,[spl3_100])],[avatar_definition]) ).
fof(f637,plain,
( ~ exemplifies_property(conceivable,sK2)
| spl3_100 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f639,definition,
( spl3_101
<=> ! [X0] :
( ~ exemplifies_relation(greater_than,sK2,X0)
| object(X0)
| ~ exemplifies_property(none_greater,X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_101])],[avatar_definition]) ).
fof(f640,plain,
( ! [X0] :
( ~ exemplifies_relation(greater_than,sK2,X0)
| object(X0)
| ~ exemplifies_property(none_greater,X0) )
| ~ spl3_101 ),
inference(avatar_component_clause,[],[f639]) ).
fof(f641,plain,
( ~ spl3_100
| spl3_101 ),
inference(avatar_split_clause,[],[f463,f639,f635]) ).
fof(f642,plain,
( ~ exemplifies_property(none_greater,sK2)
| object(sK2)
| spl3_100 ),
inference(resolution,[],[f637,f31]) ).
fof(f643,plain,
( spl3_2
| ~ spl3_5
| spl3_100 ),
inference(avatar_split_clause,[],[f642,f635,f62,f44]) ).
fof(f646,plain,
( ~ exemplifies_property(none_greater,sK1(sK2))
| object(sK1(sK2))
| spl3_77 ),
inference(resolution,[],[f545,f31]) ).
fof(f647,plain,
( spl3_1
| ~ spl3_7
| spl3_77 ),
inference(avatar_split_clause,[],[f646,f543,f74,f40]) ).
fof(f670,plain,
! [X0] :
( exemplifies_relation(greater_than,sK2,X0)
| sK2 = X0
| object(X0)
| exemplifies_relation(greater_than,X0,sK2) ),
inference(resolution,[],[f33,f37]) ).
fof(f697,plain,
( ! [X0] :
( sK2 = X0
| object(X0)
| exemplifies_relation(greater_than,X0,sK2)
| object(X0)
| ~ exemplifies_property(none_greater,X0) )
| ~ spl3_101 ),
inference(resolution,[],[f670,f640]) ).
fof(f698,plain,
( ! [X0] :
( exemplifies_relation(greater_than,X0,sK2)
| object(X0)
| sK2 = X0
| ~ exemplifies_property(none_greater,X0) )
| ~ spl3_101 ),
inference(duplicate_literal_removal,[],[f697]) ).
fof(f700,plain,
( object(sK1(sK2))
| sK2 = sK1(sK2)
| ~ exemplifies_property(none_greater,sK1(sK2))
| object(sK2)
| ~ exemplifies_property(none_greater,sK2)
| ~ spl3_78
| ~ spl3_101 ),
inference(resolution,[],[f698,f548]) ).
fof(f708,plain,
( ~ spl3_5
| spl3_2
| ~ spl3_7
| spl3_3
| spl3_1
| ~ spl3_78
| ~ spl3_101 ),
inference(avatar_split_clause,[],[f700,f639,f547,f40,f50,f74,f44,f62]) ).
cnf(s1,plain,
( ~ spl3_1
| spl3_2 ),
inference(sat_conversion,[],[f47]) ).
cnf(s2,plain,
( spl3_2
| ~ spl3_3 ),
inference(sat_conversion,[],[f53]) ).
cnf(s4,plain,
spl3_5,
inference(sat_conversion,[],[f67]) ).
cnf(s6,plain,
( spl3_2
| ~ spl3_5
| spl3_7 ),
inference(sat_conversion,[],[f79]) ).
cnf(s10,plain,
~ spl3_2,
inference(sat_conversion,[],[f100]) ).
cnf(s70,plain,
( spl3_1
| ~ spl3_77
| spl3_78 ),
inference(sat_conversion,[],[f549]) ).
cnf(s85,plain,
( ~ spl3_100
| spl3_101 ),
inference(sat_conversion,[],[f641]) ).
cnf(s86,plain,
( spl3_2
| ~ spl3_5
| spl3_100 ),
inference(sat_conversion,[],[f643]) ).
cnf(s87,plain,
( spl3_1
| ~ spl3_7
| spl3_77 ),
inference(sat_conversion,[],[f647]) ).
cnf(s95,plain,
( spl3_1
| spl3_2
| spl3_3
| ~ spl3_5
| ~ spl3_7
| ~ spl3_78
| ~ spl3_101 ),
inference(sat_conversion,[],[f708]) ).
cnf(s96,plain,
( ~ spl3_5
| spl3_7 ),
inference(rat,[],[s6,s10]) ).
cnf(s97,plain,
spl3_100,
inference(rat,[],[s86,s10,s4]) ).
cnf(s98,plain,
spl3_7,
inference(rat,[],[s96,s4]) ).
cnf(s99,plain,
spl3_101,
inference(rat,[],[s85,s97]) ).
cnf(s101,plain,
~ spl3_3,
inference(rat,[],[s2,s10]) ).
cnf(s102,plain,
~ spl3_1,
inference(rat,[],[s1,s10]) ).
cnf(s103,plain,
~ spl3_78,
inference(rat,[],[s95,s99,s101,s98,s4,s10,s102]) ).
cnf(s104,plain,
spl3_77,
inference(rat,[],[s87,s98,s102]) ).
cnf(s105,plain,
$false,
inference(rat,[],[s70,s103,s104,s102]) ).
fof(f709,plain,
$false,
inference(avatar_sat_refutation,[],[s105]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI012+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n003.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 : Sun Sep 27 22:08:56 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.46 % (961739)Will run a generic schedule for satisfiability detection.
% 0.12/0.46 % (961755)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2844964259:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.12/0.46 % (961750)% WARNING: option uhcvi not known.
% 0.12/0.46 % (961751)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1869891587:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.12/0.46 % (961752)dis+10_1_sil=32000:sp=arity:random_seed=825537017:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.12/0.46 % (961749)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=722536612_2999 on theBenchmark for (2999ds/0Mi)
% 0.12/0.46 % (961750)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=912909693:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.12/0.46 % (961755) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-961739-961755"...
% 0.12/0.46 % (961754)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3719343773:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.12/0.46 % (961753)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2464427536:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.12/0.46 % (961755)...printing done.
% 0.12/0.46 % TRYING [1]
% 0.12/0.46 % TRYING [2]
% 0.12/0.46 % (961755)Refutation found. Thanks to Tanya!
% 0.12/0.46 % SZS status Theorem for theBenchmark
% 0.12/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.46 % (961755)------------------------------
% 0.12/0.46 % (961755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.12/0.46 % (961755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.12/0.46 % (961755)CaDiCaL version: 2.1.3
% 0.12/0.46 % (961755)Termination reason: Refutation
% 0.12/0.46 % (961755)Time elapsed: 0.008 s
% 0.12/0.46 % (961755)Peak memory usage: 13 MB
% 0.12/0.46 % (961755)Instructions burned: 20 (million)
% 0.12/0.46 % (961739)Success in time 0.034 s
% 0.12/0.46 % Vampire exiting
%------------------------------------------------------------------------------