%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LCL894+1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 12:00:56 PM UTC 2026
% Result : Theorem 2.23s 0.85s
% Output : Refutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 16
% Syntax : Number of formulae : 105 ( 25 unt; 5 def)
% Number of atoms : 226 ( 19 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 215 ( 94 ~; 100 |; 10 &)
% ( 6 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 82 ( 0 sgn 82 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
fof(f3,axiom,
! [X0] : '+'(X0,'0') = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
fof(f4,axiom,
! [X0] : '>='(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
fof(f5,axiom,
! [X0,X1,X2] :
( ( '>='(X0,X1)
& '>='(X1,X2) )
=> '>='(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
fof(f6,axiom,
! [X0,X1] :
( ( '>='(X0,X1)
& '>='(X1,X0) )
=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_06) ).
fof(f7,axiom,
! [X0,X1,X2] :
( '>='('+'(X0,X1),X2)
<=> '>='(X1,'==>'(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_07) ).
fof(f8,axiom,
! [X0] : '>='(X0,'0'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_08) ).
fof(f9,axiom,
! [X0,X1,X2] :
( '>='(X0,X1)
=> '>='('+'(X0,X2),'+'(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_09) ).
fof(f11,axiom,
! [X0,X1,X2] :
( '>='(X0,X1)
=> '>='('==>'(X2,X0),'==>'(X2,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_11) ).
fof(f12,axiom,
! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_12) ).
fof(f13,conjecture,
( ( '>='(c,a)
& '>='(c,b) )
<=> '>='(c,'+'(a,'==>'(a,b))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_13) ).
fof(f14,negated_conjecture,
~ ( ( '>='(c,a)
& '>='(c,b) )
<=> '>='(c,'+'(a,'==>'(a,b))) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f15,plain,
! [X0,X1,X2] :
( '>='(X0,X2)
| ~ '>='(X0,X1)
| ~ '>='(X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f16,plain,
! [X0,X1,X2] :
( '>='(X0,X2)
| ~ '>='(X0,X1)
| ~ '>='(X1,X2) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X0,X1)
| ~ '>='(X1,X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f18,plain,
! [X0,X1] :
( X0 = X1
| ~ '>='(X0,X1)
| ~ '>='(X1,X0) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( '>='('+'(X0,X2),'+'(X1,X2))
| ~ '>='(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f21,plain,
! [X0,X1,X2] :
( '>='('==>'(X2,X0),'==>'(X2,X1))
| ~ '>='(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f22,plain,
( ( '>='(c,a)
& '>='(c,b) )
<~> '>='(c,'+'(a,'==>'(a,b))) ),
inference(ennf_transformation,[],[f14]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ( '>='('+'(X0,X1),X2)
| ~ '>='(X1,'==>'(X0,X2)) )
& ( '>='(X1,'==>'(X0,X2))
| ~ '>='('+'(X0,X1),X2) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f24,plain,
( ( ~ '>='(c,'+'(a,'==>'(a,b)))
| ~ '>='(c,a)
| ~ '>='(c,b) )
& ( '>='(c,'+'(a,'==>'(a,b)))
| ( '>='(c,a)
& '>='(c,b) ) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f25,plain,
( ( ~ '>='(c,'+'(a,'==>'(a,b)))
| ~ '>='(c,a)
| ~ '>='(c,b) )
& ( '>='(c,'+'(a,'==>'(a,b)))
| ( '>='(c,a)
& '>='(c,b) ) ) ),
inference(flattening,[],[f24]) ).
fof(f27,plain,
! [X0,X1] : '+'(X0,X1) = '+'(X1,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f28,plain,
! [X0] : '+'(X0,'0') = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f29,plain,
! [X0] : '>='(X0,X0),
inference(cnf_transformation,[],[f4]) ).
fof(f30,plain,
! [X2,X0,X1] :
( ~ '>='(X1,X2)
| ~ '>='(X0,X1)
| '>='(X0,X2) ),
inference(cnf_transformation,[],[f16]) ).
fof(f31,plain,
! [X0,X1] :
( ~ '>='(X1,X0)
| ~ '>='(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f18]) ).
fof(f32,plain,
! [X2,X0,X1] :
( ~ '>='('+'(X0,X1),X2)
| '>='(X1,'==>'(X0,X2)) ),
inference(cnf_transformation,[],[f23]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ '>='(X1,'==>'(X0,X2))
| '>='('+'(X0,X1),X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f34,plain,
! [X0] : '>='(X0,'0'),
inference(cnf_transformation,[],[f8]) ).
fof(f35,plain,
! [X2,X0,X1] :
( '>='('+'(X0,X2),'+'(X1,X2))
| ~ '>='(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f37,plain,
! [X2,X0,X1] :
( '>='('==>'(X2,X0),'==>'(X2,X1))
| ~ '>='(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
fof(f38,plain,
! [X0,X1] : '+'(X0,'==>'(X0,X1)) = '+'(X1,'==>'(X1,X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f39,plain,
( '>='(c,'+'(a,'==>'(a,b)))
| '>='(c,b) ),
inference(cnf_transformation,[],[f25]) ).
fof(f40,plain,
( '>='(c,'+'(a,'==>'(a,b)))
| '>='(c,a) ),
inference(cnf_transformation,[],[f25]) ).
fof(f41,plain,
( ~ '>='(c,'+'(a,'==>'(a,b)))
| ~ '>='(c,a)
| ~ '>='(c,b) ),
inference(cnf_transformation,[],[f25]) ).
fof(f42,definition,
sF0 = '==>'(a,b),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f43,plain,
'==>'(a,b) = sF0,
inference(reorient_equations,[],[f42]) ).
fof(f44,definition,
sF1 = '+'(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f45,plain,
'+'(a,sF0) = sF1,
inference(reorient_equations,[],[f44]) ).
fof(f46,plain,
( ~ '>='(c,sF1)
| ~ '>='(c,a)
| ~ '>='(c,b) ),
inference(definition_folding,[],[f41,f45,f43]) ).
fof(f47,plain,
( '>='(c,sF1)
| '>='(c,a) ),
inference(definition_folding,[],[f40,f45,f43]) ).
fof(f48,plain,
( '>='(c,sF1)
| '>='(c,b) ),
inference(definition_folding,[],[f39,f45,f43]) ).
fof(f50,definition,
( spl2_1
<=> '>='(c,b) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f51,plain,
( ~ '>='(c,b)
| spl2_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f52,plain,
( '>='(c,b)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f54,definition,
( spl2_2
<=> '>='(c,sF1) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f55,plain,
( ~ '>='(c,sF1)
| spl2_2 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f56,plain,
( '>='(c,sF1)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f57,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f48,f54,f50]) ).
fof(f59,definition,
( spl2_3
<=> '>='(c,a) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f60,plain,
( ~ '>='(c,a)
| spl2_3 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f61,plain,
( '>='(c,a)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f62,plain,
( spl2_3
| spl2_2 ),
inference(avatar_split_clause,[],[f47,f54,f59]) ).
fof(f63,plain,
( ~ spl2_1
| ~ spl2_3
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f46,f54,f59,f50]) ).
fof(f64,plain,
sF1 = '+'(sF0,a),
inference(forward_demodulation,[],[f45,f27]) ).
fof(f68,plain,
! [X0] : '+'('0',X0) = X0,
inference(superposition,[],[f28,f27]) ).
fof(f79,plain,
! [X0] :
( ~ '>='('0',X0)
| '0' = X0 ),
inference(resolution,[],[f31,f34]) ).
fof(f91,plain,
! [X0,X1] :
( ~ '>='(X0,X1)
| '>='('0','==>'(X0,X1)) ),
inference(superposition,[],[f32,f28]) ).
fof(f100,plain,
! [X0,X1] : '>='('+'(X0,'==>'(X0,X1)),X1),
inference(resolution,[],[f33,f29]) ).
fof(f111,plain,
! [X0] :
( '>='(sF1,'+'(X0,a))
| ~ '>='(sF0,X0) ),
inference(superposition,[],[f35,f64]) ).
fof(f116,plain,
! [X0] :
( '>='('+'(X0,a),sF1)
| ~ '>='(X0,sF0) ),
inference(superposition,[],[f35,f64]) ).
fof(f135,plain,
! [X2,X0,X1] :
( '>='('+'(X2,'==>'(X2,X0)),X1)
| ~ '>='(X0,X1) ),
inference(resolution,[],[f37,f33]) ).
fof(f247,plain,
'>='('+'(a,sF0),b),
inference(superposition,[],[f100,f43]) ).
fof(f254,plain,
'>='('+'(sF0,a),b),
inference(forward_demodulation,[],[f247,f27]) ).
fof(f255,plain,
'>='(sF1,b),
inference(forward_demodulation,[],[f254,f64]) ).
fof(f297,plain,
( '>='('0','==>'(c,sF1))
| ~ spl2_2 ),
inference(resolution,[],[f91,f56]) ).
fof(f299,plain,
( '0' = '==>'(c,sF1)
| ~ spl2_2 ),
inference(resolution,[],[f297,f79]) ).
fof(f380,plain,
! [X0] :
( ~ '>='(X0,sF0)
| '>='('0','==>'('+'(X0,a),sF1)) ),
inference(resolution,[],[f116,f91]) ).
fof(f665,plain,
( ! [X0] :
( '>='('+'(c,'0'),X0)
| ~ '>='(sF1,X0) )
| ~ spl2_2 ),
inference(superposition,[],[f135,f299]) ).
fof(f672,plain,
( ! [X0] :
( ~ '>='(sF1,X0)
| '>='(c,X0) )
| ~ spl2_2 ),
inference(forward_demodulation,[],[f665,f28]) ).
fof(f676,plain,
( ! [X0] :
( '>='(c,'+'(X0,a))
| ~ '>='(sF0,X0) )
| ~ spl2_2 ),
inference(resolution,[],[f672,f111]) ).
fof(f2302,plain,
( '>='(c,a)
| ~ '>='(sF0,'0')
| ~ spl2_2 ),
inference(superposition,[],[f676,f68]) ).
fof(f2305,plain,
( ~ '>='(sF0,'0')
| ~ spl2_2
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f2302,f60]) ).
fof(f2308,plain,
( $false
| ~ spl2_2
| spl2_3 ),
inference(forward_subsumption_resolution,[],[f2305,f34]) ).
fof(f2309,plain,
( ~ spl2_2
| spl2_3 ),
inference(avatar_contradiction_clause,[],[f2308]) ).
fof(f2313,plain,
( '>='('0','==>'(c,a))
| ~ spl2_3 ),
inference(resolution,[],[f61,f91]) ).
fof(f2326,plain,
( '0' = '==>'(c,a)
| ~ spl2_3 ),
inference(resolution,[],[f2313,f79]) ).
fof(f3457,plain,
( '>='(c,b)
| ~ spl2_2 ),
inference(resolution,[],[f255,f672]) ).
fof(f3476,plain,
( $false
| spl2_1
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f3457,f51]) ).
fof(f3477,plain,
( spl2_1
| ~ spl2_2 ),
inference(avatar_contradiction_clause,[],[f3476]) ).
fof(f3478,plain,
( ! [X0] :
( ~ '>='(X0,c)
| '>='(X0,b) )
| ~ spl2_1 ),
inference(resolution,[],[f52,f30]) ).
fof(f3496,plain,
( ! [X0] : '>='('+'(X0,'==>'(X0,c)),b)
| ~ spl2_1 ),
inference(resolution,[],[f3478,f100]) ).
fof(f3637,plain,
( ! [X0] : '>='('==>'(X0,c),'==>'(X0,b))
| ~ spl2_1 ),
inference(resolution,[],[f3496,f32]) ).
fof(f4806,plain,
( '>='('==>'(a,c),sF0)
| ~ spl2_1 ),
inference(superposition,[],[f3637,f43]) ).
fof(f7639,plain,
( '>='('0','==>'('+'('==>'(a,c),a),sF1))
| ~ spl2_1 ),
inference(resolution,[],[f380,f4806]) ).
fof(f7644,plain,
( '>='('0','==>'('+'(a,'==>'(a,c)),sF1))
| ~ spl2_1 ),
inference(forward_demodulation,[],[f7639,f27]) ).
fof(f7658,plain,
( '>='('0','==>'('+'(c,'==>'(c,a)),sF1))
| ~ spl2_1 ),
inference(forward_demodulation,[],[f7644,f38]) ).
fof(f7668,plain,
( '>='('0','==>'('+'(c,'0'),sF1))
| ~ spl2_1
| ~ spl2_3 ),
inference(forward_demodulation,[],[f7658,f2326]) ).
fof(f7670,plain,
( '>='('0','==>'(c,sF1))
| ~ spl2_1
| ~ spl2_3 ),
inference(forward_demodulation,[],[f7668,f28]) ).
fof(f7679,plain,
( '>='('+'(c,'0'),sF1)
| ~ spl2_1
| ~ spl2_3 ),
inference(resolution,[],[f7670,f33]) ).
fof(f7694,plain,
( '>='(c,sF1)
| ~ spl2_1
| ~ spl2_3 ),
inference(forward_demodulation,[],[f7679,f28]) ).
fof(f7704,plain,
( $false
| ~ spl2_1
| spl2_2
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f7694,f55]) ).
fof(f7705,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_3 ),
inference(avatar_contradiction_clause,[],[f7704]) ).
cnf(s1,plain,
( spl2_1
| spl2_2 ),
inference(sat_conversion,[],[f57]) ).
cnf(s2,plain,
( spl2_2
| spl2_3 ),
inference(sat_conversion,[],[f62]) ).
cnf(s3,plain,
( ~ spl2_1
| ~ spl2_2
| ~ spl2_3 ),
inference(sat_conversion,[],[f63]) ).
cnf(s10,plain,
( ~ spl2_2
| spl2_3 ),
inference(sat_conversion,[],[f2309]) ).
cnf(s19,plain,
( spl2_1
| ~ spl2_2 ),
inference(sat_conversion,[],[f3477]) ).
cnf(s45,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_3 ),
inference(sat_conversion,[],[f7705]) ).
cnf(s47,plain,
spl2_1,
inference(rat,[],[s1,s19]) ).
cnf(s48,plain,
spl2_2,
inference(rat,[],[s2,s45,s47]) ).
cnf(s49,plain,
spl2_3,
inference(rat,[],[s10,s48]) ).
cnf(s50,plain,
$false,
inference(rat,[],[s3,s47,s49,s48]) ).
fof(f7714,plain,
$false,
inference(avatar_sat_refutation,[],[s50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL894+1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.37 % Computer : n016.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 17:10:03 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.23/0.84 % (2854863)Will run a generic schedule for satisfiability detection.
% 2.23/0.84 % (2854873)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2471076693:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.23/0.84 % (2854868)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1351020642_2999 on theBenchmark for (2999ds/0Mi)
% 2.23/0.84 % (2854874)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3585466949:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.23/0.84 % (2854870)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2139719054:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.23/0.84 % (2854871)dis+10_1_sil=32000:sp=arity:random_seed=2608639328:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.23/0.84 % (2854872)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=774068125:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.23/0.84 % TRYING [1]
% 2.23/0.84 % TRYING [2]
% 2.23/0.84 % TRYING [3]
% 2.23/0.84 % TRYING [4]
% 2.23/0.84 % (2854869)% WARNING: option uhcvi not known.
% 2.23/0.84 % (2854869)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4248504946:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.23/0.84 % TRYING [5]
% 2.23/0.84 % (2854873)Instruction limit reached!
% 2.23/0.84 % (2854873)------------------------------
% 2.23/0.84 % (2854873)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.84 % (2854873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.84 % (2854873)CaDiCaL version: 2.1.3
% 2.23/0.84 % (2854873)Termination reason: Instruction limit
% 2.23/0.84 % (2854873)Termination phase: Saturation
% 2.23/0.84 % (2854873)Time elapsed: 0.047 s
% 2.23/0.84 % (2854873)Peak memory usage: 13 MB
% 2.23/0.84 % (2854873)Instructions burned: 133 (million)
% 2.23/0.84 % (2854882)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=374166002:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.23/0.84 % TRYING [6]
% 2.23/0.84 % TRYING [1]
% 2.23/0.84 % TRYING [2]
% 2.23/0.84 % TRYING [3]
% 2.23/0.84 % TRYING [4]
% 2.23/0.84 % TRYING [5]
% 2.23/0.84 % (2854871)Instruction limit reached!
% 2.23/0.84 % (2854871)------------------------------
% 2.23/0.84 % (2854871)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.84 % (2854871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.84 % (2854871)CaDiCaL version: 2.1.3
% 2.23/0.84 % (2854871)Termination reason: Instruction limit
% 2.23/0.84 % (2854871)Termination phase: Saturation
% 2.23/0.84 % (2854871)Time elapsed: 0.065 s
% 2.23/0.84 % (2854871)Peak memory usage: 12 MB
% 2.23/0.84 % (2854871)Instructions burned: 103 (million)
% 2.23/0.84 % (2854872)Instruction limit reached!
% 2.23/0.84 % (2854872)------------------------------
% 2.23/0.84 % (2854872)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.84 % (2854872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.84 % (2854872)CaDiCaL version: 2.1.3
% 2.23/0.84 % (2854872)Termination reason: Instruction limit
% 2.23/0.84 % (2854872)Termination phase: Saturation
% 2.23/0.84 % (2854872)Time elapsed: 0.069 s
% 2.23/0.84 % (2854872)Peak memory usage: 12 MB
% 2.23/0.84 % (2854872)Instructions burned: 116 (million)
% 2.23/0.84 % TRYING [6]
% 2.23/0.84 % (2854884)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4261765698:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 2.23/0.84 % (2854885)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3596891223:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 2.23/0.84 % TRYING [7]
% 2.23/0.84 % (2854874)Instruction limit reached!
% 2.23/0.84 % (2854874)------------------------------
% 2.23/0.84 % (2854874)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.84 % (2854874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.84 % (2854874)CaDiCaL version: 2.1.3
% 2.23/0.84 % (2854874)Termination reason: Instruction limit
% 2.23/0.84 % (2854874)Termination phase: Saturation
% 2.23/0.84 % (2854874)Time elapsed: 0.117 s
% 2.23/0.84 % (2854874)Peak memory usage: 13 MB
% 2.23/0.84 % (2854874)Instructions burned: 159 (million)
% 2.23/0.84 % (2854888)ott-21_1_sil=16000:fs=off:random_seed=3093233395:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.23/0.84 % TRYING [7]
% 2.23/0.84 % (2854884)Instruction limit reached!
% 2.23/0.84 % (2854884)------------------------------
% 2.23/0.84 % (2854884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.84 % (2854884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.84 % (2854884)CaDiCaL version: 2.1.3
% 2.23/0.84 % (2854884)Termination reason: Instruction limit
% 2.23/0.84 % (2854884)Termination phase: Saturation
% 2.23/0.84 % (2854884)Time elapsed: 0.086 s
% 2.23/0.84 % (2854884)Peak memory usage: 13 MB
% 2.23/0.84 % (2854884)Instructions burned: 132 (million)
% 2.23/0.84 % TRYING [8]
% 2.23/0.84 % (2854890)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4005511363:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.23/0.84 % (2854882)Instruction limit reached!
% 2.23/0.84 % (2854882)------------------------------
% 2.23/0.84 % (2854882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.84 % (2854882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.84 % (2854882)CaDiCaL version: 2.1.3
% 2.23/0.84 % (2854882)Termination reason: Instruction limit
% 2.23/0.84 % (2854882)Termination phase: Finite model building constraint generation
% 2.23/0.84 % (2854882)Time elapsed: 0.152 s
% 2.23/0.84 % (2854882)Peak memory usage: 26 MB
% 2.23/0.84 % (2854882)Instructions burned: 718 (million)
% 2.23/0.84 % (2854888)Instruction limit reached!
% 2.23/0.84 % (2854888)------------------------------
% 2.23/0.84 % (2854888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.84 % (2854888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.84 % (2854888)CaDiCaL version: 2.1.3
% 2.23/0.84 % (2854888)Termination reason: Instruction limit
% 2.23/0.84 % (2854888)Termination phase: Saturation
% 2.23/0.84 % (2854888)Time elapsed: 0.074 s
% 2.23/0.84 % (2854888)Peak memory usage: 12 MB
% 2.23/0.84 % (2854888)Instructions burned: 180 (million)
% 2.23/0.84 % (2854892)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1111991616:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.23/0.84 % TRYING [1]
% 2.23/0.84 % TRYING [2]
% 2.23/0.84 % TRYING [3]
% 2.23/0.84 % TRYING [4]
% 2.23/0.84 % (2854893)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2224003933:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.23/0.84 % TRYING [5]
% 2.23/0.84 % TRYING [6]
% 2.23/0.84 % TRYING [7]
% 2.23/0.84 % (2854892)Instruction limit reached!
% 2.23/0.85 % (2854892)------------------------------
% 2.23/0.85 % (2854892)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.85 % (2854892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.85 % (2854892)CaDiCaL version: 2.1.3
% 2.23/0.85 % (2854892)Termination reason: Instruction limit
% 2.23/0.85 % (2854892)Termination phase: Finite model building SAT solving
% 2.23/0.85 % (2854892)Time elapsed: 0.170 s
% 2.23/0.85 % (2854892)Peak memory usage: 21 MB
% 2.23/0.85 % (2854892)Instructions burned: 866 (million)
% 2.23/0.85 % (2854893) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2854863-2854893"...
% 2.23/0.85 % (2854893)...printing done.
% 2.23/0.85 % (2854893)Refutation found. Thanks to Tanya!
% 2.23/0.85 % SZS status Theorem for theBenchmark
% 2.23/0.85 % SZS output start Proof for theBenchmark
% See solution above
% 2.23/0.85 % (2854893)------------------------------
% 2.23/0.85 % (2854893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.85 % (2854893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.85 % (2854893)CaDiCaL version: 2.1.3
% 2.23/0.85 % (2854893)Termination reason: Refutation
% 2.23/0.85 % (2854893)Time elapsed: 0.160 s
% 2.23/0.85 % (2854893)Peak memory usage: 15 MB
% 2.23/0.85 % (2854893)Instructions burned: 243 (million)
% 2.23/0.85 % (2854863)Success in time 0.427 s
% 2.23/0.85 % Vampire exiting
%------------------------------------------------------------------------------