%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWX078_1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 01:45:50 PM UTC 2026
% Result : Theorem 3.03s 1.11s
% Output : Refutation 3.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 4
% Syntax : Number of formulae : 47 ( 3 unt; 0 typ; 2 def)
% Number of atoms : 274 ( 94 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 356 ( 129 ~; 110 |; 105 &)
% ( 11 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 191 ( 74 atm; 0 fun; 36 num; 81 var)
% Number of types : 4 ( 2 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 17 ( 12 usr; 4 prp; 0-2 aty)
% Number of functors : 26 ( 25 usr; 9 con; 0-1 aty)
% Number of variables : 111 ( 59 !; 52 ?; 111 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
general: $tType ).
tff(type_def_6,type,
symbol: $tType ).
tff(func_def_0,type,
f__integer__: $int > general ).
tff(func_def_1,type,
f__symbolic__: symbol > general ).
tff(func_def_2,type,
c__infimum__: general ).
tff(func_def_3,type,
c__supremum__: general ).
tff(func_def_4,type,
n_i: $int ).
tff(func_def_7,type,
sK0: general > $int ).
tff(func_def_8,type,
sK1: general > $int ).
tff(func_def_9,type,
sK2: general > $int ).
tff(func_def_10,type,
sK3: general > symbol ).
tff(func_def_11,type,
sK4: general > general ).
tff(func_def_12,type,
sK5: general > general ).
tff(func_def_13,type,
sK6: general > general ).
tff(func_def_14,type,
sK7: general > general ).
tff(func_def_15,type,
sK8: general > general ).
tff(func_def_16,type,
sK9: general ).
tff(func_def_17,type,
sK10: $int ).
tff(func_def_18,type,
sK11: $int ).
tff(func_def_19,type,
sK12: $int ).
tff(func_def_20,type,
sK13: general > $int ).
tff(func_def_21,type,
sK14: general > general ).
tff(func_def_22,type,
sK15: general > general ).
tff(func_def_23,type,
sK16: general > general ).
tff(func_def_24,type,
sK17: general > general ).
tff(func_def_25,type,
sK18: general > general ).
tff(func_def_26,type,
sF19: general ).
tff(pred_def_1,type,
p__is_integer__: general > $o ).
tff(pred_def_2,type,
p__is_symbolic__: general > $o ).
tff(pred_def_3,type,
p__less_equal__: ( general * general ) > $o ).
tff(pred_def_4,type,
p__less__: ( general * general ) > $o ).
tff(pred_def_5,type,
p__greater_equal__: ( general * general ) > $o ).
tff(pred_def_6,type,
p__greater__: ( general * general ) > $o ).
tff(pred_def_8,type,
covered: general > $o ).
tff(pred_def_9,type,
in_cover: general > $o ).
tff(pred_def_10,type,
s: ( general * general ) > $o ).
tff(pred_def_11,type,
covered_p: general > $o ).
tff(f21,axiom,
! [X0: general] :
( ( in_cover(X0)
& ? [X2: $int,X1: $int,X3: $int] :
( ( X2 = n_i )
& ( X0 = f__integer__(X3) )
& $lesseq(X1,X3)
& $lesseq(X3,X2)
& ( X1 = 1 ) )
& $true )
<=> in_cover(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_5_completed_definition_of_in_cover_1) ).
tff(f24,conjecture,
! [X0: general] :
( ( ? [X1: $int,X3: $int,X2: $int] :
( $lesseq(X1,X3)
& ( X1 = 1 )
& ( X2 = n_i )
& $lesseq(X3,X2)
& ( X0 = f__integer__(X3) ) )
& in_cover(X0)
& $true )
<=> in_cover(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_8_completed_definition_of_in_cover_1) ).
tff(f25,negated_conjecture,
~ ! [X0: general] :
( ( ? [X1: $int,X3: $int,X2: $int] :
( $lesseq(X1,X3)
& ( X1 = 1 )
& ( X2 = n_i )
& $lesseq(X3,X2)
& ( X0 = f__integer__(X3) ) )
& in_cover(X0)
& $true )
<=> in_cover(X0) ),
inference(negated_conjecture,[status(cth)],[f24]) ).
tff(f28,plain,
~ ! [X0: general] :
( ( ? [X1: $int,X3: $int,X2: $int] :
( ~ $less(X3,X1)
& ( X1 = 1 )
& ( X2 = n_i )
& ~ $less(X2,X3)
& ( X0 = f__integer__(X3) ) )
& in_cover(X0)
& $true )
<=> in_cover(X0) ),
inference(theory_normalization,[],[f25]) ).
tff(f29,plain,
! [X0: general] :
( ( in_cover(X0)
& ? [X2: $int,X1: $int,X3: $int] :
( ( X2 = n_i )
& ( X0 = f__integer__(X3) )
& ~ $less(X3,X1)
& ~ $less(X2,X3)
& ( X1 = 1 ) )
& $true )
<=> in_cover(X0) ),
inference(theory_normalization,[],[f21]) ).
tff(f36,plain,
~ ! [X0: general] :
( ( ? [X1: $int,X3: $int,X2: $int] :
( ~ $less(X2,X1)
& ( f__integer__(X2) = X0 )
& ~ $less(X3,X2)
& ( X1 = 1 )
& ( n_i = X3 ) )
& in_cover(X0)
& $true )
<=> in_cover(X0) ),
inference(rectify,[],[f28]) ).
tff(f37,plain,
~ ! [X0: general] :
( in_cover(X0)
<=> ( ? [X1: $int,X3: $int,X2: $int] :
( ~ $less(X2,X1)
& ( f__integer__(X2) = X0 )
& ~ $less(X3,X2)
& ( X1 = 1 )
& ( n_i = X3 ) )
& in_cover(X0) ) ),
inference(true_and_false_elimination,[],[f36]) ).
tff(f38,plain,
! [X0: general] :
( ( in_cover(X0)
& ? [X2: $int,X3: $int,X1: $int] :
( ~ $less(X3,X2)
& ( X0 = f__integer__(X3) )
& ( n_i = X1 )
& ~ $less(X1,X3)
& ( 1 = X2 ) )
& $true )
<=> in_cover(X0) ),
inference(rectify,[],[f29]) ).
tff(f39,plain,
! [X0: general] :
( in_cover(X0)
<=> ( ? [X2: $int,X3: $int,X1: $int] :
( ~ $less(X3,X2)
& ( X0 = f__integer__(X3) )
& ( n_i = X1 )
& ~ $less(X1,X3)
& ( 1 = X2 ) )
& in_cover(X0) ) ),
inference(true_and_false_elimination,[],[f38]) ).
tff(f59,plain,
? [X0: general] :
( ( ? [X1: $int,X3: $int,X2: $int] :
( ~ $less(X2,X1)
& ( f__integer__(X2) = X0 )
& ~ $less(X3,X2)
& ( X1 = 1 )
& ( n_i = X3 ) )
& in_cover(X0) )
<~> in_cover(X0) ),
inference(ennf_transformation,[],[f37]) ).
tff(f63,plain,
! [X0: general] :
( ( in_cover(X0)
| ! [X2: $int,X3: $int,X1: $int] :
( $less(X3,X2)
| ( f__integer__(X3) != X0 )
| ( n_i != X1 )
| $less(X1,X3)
| ( 1 != X2 ) )
| ~ in_cover(X0) )
& ( ( ? [X2: $int,X3: $int,X1: $int] :
( ~ $less(X3,X2)
& ( X0 = f__integer__(X3) )
& ( n_i = X1 )
& ~ $less(X1,X3)
& ( 1 = X2 ) )
& in_cover(X0) )
| ~ in_cover(X0) ) ),
inference(nnf_transformation,[],[f39]) ).
tff(f64,plain,
! [X0: general] :
( ( in_cover(X0)
| ! [X2: $int,X3: $int,X1: $int] :
( $less(X3,X2)
| ( f__integer__(X3) != X0 )
| ( n_i != X1 )
| $less(X1,X3)
| ( 1 != X2 ) )
| ~ in_cover(X0) )
& ( ( ? [X2: $int,X3: $int,X1: $int] :
( ~ $less(X3,X2)
& ( X0 = f__integer__(X3) )
& ( n_i = X1 )
& ~ $less(X1,X3)
& ( 1 = X2 ) )
& in_cover(X0) )
| ~ in_cover(X0) ) ),
inference(flattening,[],[f63]) ).
tff(f65,plain,
! [X0: general] :
( ( in_cover(X0)
| ! [X1: $int,X2: $int,X3: $int] :
( $less(X2,X1)
| ( f__integer__(X2) != X0 )
| ( n_i != X3 )
| $less(X3,X2)
| ( 1 != X1 ) )
| ~ in_cover(X0) )
& ( ( ? [X4: $int,X5: $int,X6: $int] :
( ~ $less(X5,X4)
& ( f__integer__(X5) = X0 )
& ( n_i = X6 )
& ~ $less(X6,X5)
& ( 1 = X4 ) )
& in_cover(X0) )
| ~ in_cover(X0) ) ),
inference(rectify,[],[f64]) ).
tff(f66,plain,
! [X0: general] :
( ( in_cover(X0)
| ! [X1: $int,X2: $int,X3: $int] :
( $less(X2,X1)
| ( f__integer__(X2) != X0 )
| ( n_i != X3 )
| $less(X3,X2)
| ( 1 != X1 ) )
| ~ in_cover(X0) )
& ( ( ~ $less(sK1(X0),sK0(X0))
& ( f__integer__(sK1(X0)) = X0 )
& ( n_i = sK2(X0) )
& ~ $less(sK2(X0),sK1(X0))
& ( 1 = sK0(X0) )
& in_cover(X0) )
| ~ in_cover(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X4,sK0(X0)),skolemize(X5,sK1(X0)),skolemize(X6,sK2(X0))],[f65]) ).
tff(f82,plain,
? [X0: general] :
( ( ~ in_cover(X0)
| ! [X1: $int,X3: $int,X2: $int] :
( $less(X2,X1)
| ( f__integer__(X2) != X0 )
| $less(X3,X2)
| ( 1 != X1 )
| ( n_i != X3 ) )
| ~ in_cover(X0) )
& ( in_cover(X0)
| ( ? [X1: $int,X3: $int,X2: $int] :
( ~ $less(X2,X1)
& ( f__integer__(X2) = X0 )
& ~ $less(X3,X2)
& ( X1 = 1 )
& ( n_i = X3 ) )
& in_cover(X0) ) ) ),
inference(nnf_transformation,[],[f59]) ).
tff(f83,plain,
? [X0: general] :
( ( ~ in_cover(X0)
| ! [X1: $int,X3: $int,X2: $int] :
( $less(X2,X1)
| ( f__integer__(X2) != X0 )
| $less(X3,X2)
| ( 1 != X1 )
| ( n_i != X3 ) )
| ~ in_cover(X0) )
& ( in_cover(X0)
| ( ? [X1: $int,X3: $int,X2: $int] :
( ~ $less(X2,X1)
& ( f__integer__(X2) = X0 )
& ~ $less(X3,X2)
& ( X1 = 1 )
& ( n_i = X3 ) )
& in_cover(X0) ) ) ),
inference(flattening,[],[f82]) ).
tff(f84,plain,
? [X0: general] :
( ( ~ in_cover(X0)
| ! [X1: $int,X2: $int,X3: $int] :
( $less(X3,X1)
| ( f__integer__(X3) != X0 )
| $less(X2,X3)
| ( 1 != X1 )
| ( n_i != X2 ) )
| ~ in_cover(X0) )
& ( in_cover(X0)
| ( ? [X4: $int,X5: $int,X6: $int] :
( ~ $less(X6,X4)
& ( f__integer__(X6) = X0 )
& ~ $less(X5,X6)
& ( 1 = X4 )
& ( n_i = X5 ) )
& in_cover(X0) ) ) ),
inference(rectify,[],[f83]) ).
tff(f85,plain,
( ( ~ in_cover(sK9)
| ! [X1: $int,X2: $int,X3: $int] :
( $less(X3,X1)
| ( f__integer__(X3) != sK9 )
| $less(X2,X3)
| ( 1 != X1 )
| ( n_i != X2 ) )
| ~ in_cover(sK9) )
& ( in_cover(sK9)
| ( ~ $less(sK12,sK10)
& ( sK9 = f__integer__(sK12) )
& ~ $less(sK11,sK12)
& ( 1 = sK10 )
& ( n_i = sK11 )
& in_cover(sK9) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12]),skolemize(X0,sK9),skolemize(X4,sK10),skolemize(X5,sK11),skolemize(X6,sK12)],[f84]) ).
tff(f91,plain,
! [X0: general] :
( ( 1 = sK0(X0) )
| ~ in_cover(X0) ),
inference(cnf_transformation,[],[f66]) ).
tff(f92,plain,
! [X0: general] :
( ~ $less(sK2(X0),sK1(X0))
| ~ in_cover(X0) ),
inference(cnf_transformation,[],[f66]) ).
tff(f93,plain,
! [X0: general] :
( ( n_i = sK2(X0) )
| ~ in_cover(X0) ),
inference(cnf_transformation,[],[f66]) ).
tff(f94,plain,
! [X0: general] :
( ( f__integer__(sK1(X0)) = X0 )
| ~ in_cover(X0) ),
inference(cnf_transformation,[],[f66]) ).
tff(f95,plain,
! [X0: general] :
( ~ $less(sK1(X0),sK0(X0))
| ~ in_cover(X0) ),
inference(cnf_transformation,[],[f66]) ).
tff(f123,plain,
( in_cover(sK9)
| in_cover(sK9) ),
inference(cnf_transformation,[],[f85]) ).
tff(f129,plain,
! [X2: $int,X3: $int,X1: $int] :
( ~ in_cover(sK9)
| $less(X3,X1)
| ( f__integer__(X3) != sK9 )
| $less(X2,X3)
| ( 1 != X1 )
| ( n_i != X2 )
| ~ in_cover(sK9) ),
inference(cnf_transformation,[],[f85]) ).
tff(f167,plain,
! [X2: $int,X3: $int] :
( ~ in_cover(sK9)
| $less(X3,1)
| ( f__integer__(X3) != sK9 )
| $less(X2,X3)
| ( n_i != X2 )
| ~ in_cover(sK9) ),
inference(equality_resolution,[],[f129]) ).
tff(f168,plain,
! [X3: $int] :
( ( f__integer__(X3) != sK9 )
| ~ in_cover(sK9)
| $less(n_i,X3)
| $less(X3,1)
| ~ in_cover(sK9) ),
inference(equality_resolution,[],[f167]) ).
tff(f171,plain,
! [X3: $int] :
( $less(n_i,X3)
| ( f__integer__(X3) != sK9 )
| $less(X3,1)
| ~ in_cover(sK9) ),
inference(duplicate_literal_removal,[],[f168]) ).
tff(f172,plain,
in_cover(sK9),
inference(duplicate_literal_removal,[],[f123]) ).
tff(f179,definition,
( spl20_2
<=> in_cover(sK9) ),
introduced(definition,[new_symbols(definition,[spl20_2])],[avatar_definition]) ).
tff(f181,plain,
( in_cover(sK9)
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f179]) ).
tff(f193,definition,
( spl20_5
<=> ! [X3: $int] :
( $less(n_i,X3)
| $less(X3,1)
| ( f__integer__(X3) != sK9 ) ) ),
introduced(definition,[new_symbols(definition,[spl20_5])],[avatar_definition]) ).
tff(f194,plain,
( ! [X3: $int] :
( ( f__integer__(X3) != sK9 )
| $less(X3,1)
| $less(n_i,X3) )
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f193]) ).
tff(f195,plain,
( spl20_5
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f171,f179,f193]) ).
tff(f216,plain,
spl20_2,
inference(avatar_split_clause,[],[f172,f179]) ).
tff(f247,plain,
! [X0: general] :
( ~ in_cover(X0)
| ~ $less(n_i,sK1(X0))
| ~ in_cover(X0) ),
inference(superposition,[],[f92,f93]) ).
tff(f248,plain,
! [X0: general] :
( ~ $less(n_i,sK1(X0))
| ~ in_cover(X0) ),
inference(duplicate_literal_removal,[],[f247]) ).
tff(f251,plain,
( ! [X0: general] :
( $less(sK1(X0),1)
| ~ in_cover(X0)
| ( sK9 != X0 )
| $less(n_i,sK1(X0)) )
| ~ spl20_5 ),
inference(superposition,[],[f194,f94]) ).
tff(f252,plain,
! [X0: general] :
( ~ in_cover(X0)
| ~ in_cover(X0)
| ~ $less(sK1(X0),1) ),
inference(superposition,[],[f95,f91]) ).
tff(f253,plain,
! [X0: general] :
( ~ $less(sK1(X0),1)
| ~ in_cover(X0) ),
inference(duplicate_literal_removal,[],[f252]) ).
tff(f398,plain,
( ! [X0: general] :
( ~ in_cover(X0)
| $less(n_i,sK1(X0))
| ( sK9 != X0 )
| ~ in_cover(X0) )
| ~ spl20_5 ),
inference(resolution,[],[f253,f251]) ).
tff(f399,plain,
( ! [X0: general] :
( $less(n_i,sK1(X0))
| ~ in_cover(X0)
| ( sK9 != X0 ) )
| ~ spl20_5 ),
inference(duplicate_literal_removal,[],[f398]) ).
tff(f400,plain,
( ! [X0: general] :
( ( sK9 != X0 )
| ~ in_cover(X0) )
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f399,f248]) ).
tff(f401,plain,
( ~ in_cover(sK9)
| ~ spl20_5 ),
inference(equality_resolution,[],[f400]) ).
tff(f402,plain,
( $false
| ~ spl20_2
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f401,f181]) ).
tff(f403,plain,
( ~ spl20_2
| ~ spl20_5 ),
inference(avatar_contradiction_clause,[],[f402]) ).
tff(f404,plain,
$false,
inference(avatar_smt_refutation,[],[f403,f216,f195]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWX078_1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n008.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 15:00:55 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running first-order theorem proving
% 0.06/0.21 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
% 3.03/1.11 % (2311986)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.03/1.11 % (2311995)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=4006303020:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.03/1.11 % (2311995)Instruction limit reached!
% 3.03/1.11 % (2311995)------------------------------
% 3.03/1.11 % (2311995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.11 % (2311995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.11 % (2311995)CaDiCaL version: 2.1.3
% 3.03/1.11 % (2311995)Termination reason: Instruction limit
% 3.03/1.11 % (2311995)Termination phase: Saturation
% 3.03/1.11 % (2311995)Time elapsed: 0.003 s
% 3.03/1.11 % (2311995)Peak memory usage: 89 MB
% 3.03/1.11 % (2311995)Instructions burned: 7 (million)
% 3.03/1.11 % (2311992)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=2486841398:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.03/1.11 % (2311991)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=2214279744:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.03/1.11 % (2311993)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=2834448439:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.03/1.11 % (2311994)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3156135394:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.03/1.11 % (2311996)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=3121714371:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.03/1.11 % (2311997)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=381653445:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.03/1.11 % (2311994)Instruction limit reached!
% 3.03/1.11 % (2311994)------------------------------
% 3.03/1.11 % (2311994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.11 % (2311994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.11 % (2311994)CaDiCaL version: 2.1.3
% 3.03/1.11 % (2311994)Termination reason: Instruction limit
% 3.03/1.11 % (2311994)Termination phase: Saturation
% 3.03/1.11 % (2311994)Time elapsed: 0.006 s
% 3.03/1.11 % (2311994)Peak memory usage: 88 MB
% 3.03/1.11 % (2311994)Instructions burned: 8 (million)
% 3.03/1.11 % (2311991)Instruction limit reached!
% 3.03/1.11 % (2311991)------------------------------
% 3.03/1.11 % (2311991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.11 % (2311991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.11 % (2311991)CaDiCaL version: 2.1.3
% 3.03/1.11 % (2311991)Termination reason: Instruction limit
% 3.03/1.11 % (2311991)Termination phase: Saturation
% 3.03/1.11 % (2311991)Time elapsed: 0.031 s
% 3.03/1.11 % (2311991)Peak memory usage: 116 MB
% 3.03/1.11 % (2311991)Instructions burned: 12 (million)
% 3.03/1.11 % (2311992)First to succeed.
% 3.03/1.11 % (2311992)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2311986"
% 3.03/1.11 % (2311996)Also succeeded, but the first one will report.
% 3.03/1.11 % (2311999)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=2490087395:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.03/1.11 % (2311999)Also succeeded, but the first one will report.
% 3.03/1.11 % (2311997)Also succeeded, but the first one will report.
% 3.03/1.11 % (2311993)Also succeeded, but the first one will report.
% 3.03/1.11 % (2312006)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=3026156968:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.03/1.11 % (2312006)Also succeeded, but the first one will report.
% 3.03/1.11 % (2312007)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=633036953:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.03/1.11 % (2312007)Instruction limit reached!
% 3.03/1.11 % (2312007)------------------------------
% 3.03/1.11 % (2312007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.11 % (2312007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.11 % (2312007)CaDiCaL version: 2.1.3
% 3.03/1.11 % (2312007)Termination reason: Instruction limit
% 3.03/1.11 % (2312007)Termination phase: Saturation
% 3.03/1.11 % (2312007)Time elapsed: 0.012 s
% 3.03/1.11 % (2312007)Peak memory usage: 90 MB
% 3.03/1.11 % (2312007)Instructions burned: 17 (million)
% 3.03/1.11 % (2312012)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=3619376539:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 3.03/1.11 % (2311992)Refutation found. Thanks to Tanya!
% 3.03/1.11 % SZS status Theorem for theBenchmark
% 3.03/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 3.74/1.26 % (2311992)------------------------------
% 3.74/1.26 % (2311992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.26 % (2311992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.26 % (2311992)CaDiCaL version: 2.1.3
% 3.74/1.26 % (2311992)Termination reason: Refutation
% 3.74/1.26 % (2311992)Time elapsed: 0.047 s
% 3.74/1.26 % (2311992)Peak memory usage: 117 MB
% 3.74/1.26 % (2311992)Instructions burned: 29 (million)
% 3.74/1.26 % (2311992)------------------------------
% 3.74/1.26 % (2311992)------------------------------
% 3.74/1.26 % (2311986)Success in time 0.454 s
% 3.74/1.26 % Vampire exiting
%------------------------------------------------------------------------------