%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SEU003+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 12:51:46 PM UTC 2026
% Result : Theorem 2.92s 0.92s
% Output : Refutation 2.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 11
% Syntax : Number of formulae : 80 ( 27 unt; 7 def)
% Number of atoms : 282 ( 50 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 331 ( 129 ~; 126 |; 53 &)
% ( 13 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 104 ( 0 sgn 89 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f5,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/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f29,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_1) ).
fof(f30,conjecture,
! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( relation_dom(relation_composition(X1,X0)) = relation_dom(X1)
=> subset(relation_rng(X1),relation_dom(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t27_funct_1) ).
fof(f31,negated_conjecture,
~ ! [X0] :
( ( relation(X0)
& function(X0) )
=> ! [X1] :
( ( relation(X1)
& function(X1) )
=> ( relation_dom(relation_composition(X1,X0)) = relation_dom(X1)
=> subset(relation_rng(X1),relation_dom(X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f30]) ).
fof(f45,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f46,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,[],[f5]) ).
fof(f47,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,[],[f46]) ).
fof(f64,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f65,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f64]) ).
fof(f66,plain,
? [X0] :
( ? [X1] :
( ~ subset(relation_rng(X1),relation_dom(X0))
& relation_dom(relation_composition(X1,X0)) = relation_dom(X1)
& relation(X1)
& function(X1) )
& relation(X0)
& function(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f67,plain,
? [X0] :
( ? [X1] :
( ~ subset(relation_rng(X1),relation_dom(X0))
& relation_dom(relation_composition(X1,X0)) = relation_dom(X1)
& relation(X1)
& function(X1) )
& relation(X0)
& function(X0) ),
inference(flattening,[],[f66]) ).
fof(f76,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f77,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f76]) ).
fof(f78,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK0(X0,X1),X1)
& in(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f77]) ).
fof(f79,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,[],[f47]) ).
fof(f80,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,[],[f79]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] :
( ~ in(X3,relation_dom(X0))
| apply(X0,X3) != sK1(X0,X1) )
| ~ in(sK1(X0,X1),X1) )
& ( ( in(sK2(X0,X1),relation_dom(X0))
& sK1(X0,X1) = apply(X0,sK2(X0,X1)) )
| in(sK1(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] :
( ~ in(X6,relation_dom(X0))
| apply(X0,X6) != X5 ) )
& ( ( in(sK3(X0,X5),relation_dom(X0))
& apply(X0,sK3(X0,X5)) = X5 )
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0)
| ~ function(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X2,sK1(X0,X1)),skolemize(X4,sK2(X0,X1)),skolemize(X7,sK3(X0,X5))],[f80]) ).
fof(f91,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(X0,relation_dom(X2))
| ~ in(apply(X2,X0),relation_dom(X1)) )
& ( ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(nnf_transformation,[],[f65]) ).
fof(f92,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(X0,relation_dom(X2))
| ~ in(apply(X2,X0),relation_dom(X1)) )
& ( ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
( ~ subset(relation_rng(sK14),relation_dom(sK13))
& relation_dom(sK14) = relation_dom(relation_composition(sK14,sK13))
& relation(sK14)
& function(sK14)
& relation(sK13)
& function(sK13) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13,sK14]),skolemize(X0,sK13),skolemize(X1,sK14)],[f67]) ).
fof(f99,plain,
! [X0,X1] :
( subset(X0,X1)
| in(sK0(X0,X1),X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f100,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f78]) ).
fof(f101,plain,
! [X0,X1,X5] :
( apply(X0,sK3(X0,X5)) = X5
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f102,plain,
! [X0,X1,X5] :
( in(sK3(X0,X5),relation_dom(X0))
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0)
| ~ function(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_composition(X2,X1)))
| in(apply(X2,X0),relation_dom(X1))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f92]) ).
fof(f145,plain,
function(sK13),
inference(cnf_transformation,[],[f93]) ).
fof(f146,plain,
relation(sK13),
inference(cnf_transformation,[],[f93]) ).
fof(f147,plain,
function(sK14),
inference(cnf_transformation,[],[f93]) ).
fof(f148,plain,
relation(sK14),
inference(cnf_transformation,[],[f93]) ).
fof(f149,plain,
relation_dom(sK14) = relation_dom(relation_composition(sK14,sK13)),
inference(cnf_transformation,[],[f93]) ).
fof(f150,plain,
~ subset(relation_rng(sK14),relation_dom(sK13)),
inference(cnf_transformation,[],[f93]) ).
fof(f161,plain,
! [X0,X5] :
( ~ in(X5,relation_rng(X0))
| in(sK3(X0,X5),relation_dom(X0))
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f102]) ).
fof(f162,plain,
! [X0,X5] :
( ~ in(X5,relation_rng(X0))
| apply(X0,sK3(X0,X5)) = X5
| ~ relation(X0)
| ~ function(X0) ),
inference(equality_resolution,[],[f101]) ).
fof(f163,definition,
sF15 = relation_rng(sK14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f164,plain,
relation_rng(sK14) = sF15,
inference(reorient_equations,[],[f163]) ).
fof(f165,definition,
sF16 = relation_dom(sK13),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f166,plain,
relation_dom(sK13) = sF16,
inference(reorient_equations,[],[f165]) ).
fof(f167,plain,
~ subset(sF15,sF16),
inference(definition_folding,[],[f150,f166,f164]) ).
fof(f168,definition,
sF17 = relation_dom(sK14),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f169,plain,
relation_dom(sK14) = sF17,
inference(reorient_equations,[],[f168]) ).
fof(f170,definition,
sF18 = relation_composition(sK14,sK13),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f171,plain,
relation_composition(sK14,sK13) = sF18,
inference(reorient_equations,[],[f170]) ).
fof(f172,definition,
sF19 = relation_dom(sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f173,plain,
relation_dom(sF18) = sF19,
inference(reorient_equations,[],[f172]) ).
fof(f174,plain,
sF17 = sF19,
inference(definition_folding,[],[f149,f173,f171,f169]) ).
fof(f175,plain,
sF17 = relation_dom(sF18),
inference(forward_demodulation,[],[f173,f174]) ).
fof(f278,plain,
in(sK0(sF15,sF16),sF15),
inference(resolution,[],[f99,f167]) ).
fof(f452,plain,
! [X0] :
( ~ in(X0,sF15)
| in(sK3(sK14,X0),relation_dom(sK14))
| ~ relation(sK14)
| ~ function(sK14) ),
inference(superposition,[],[f161,f164]) ).
fof(f453,plain,
! [X0] :
( ~ in(X0,sF15)
| in(sK3(sK14,X0),relation_dom(sK14))
| ~ function(sK14) ),
inference(forward_subsumption_resolution,[],[f452,f148]) ).
fof(f454,plain,
! [X0] :
( ~ in(X0,sF15)
| in(sK3(sK14,X0),relation_dom(sK14)) ),
inference(forward_subsumption_resolution,[],[f453,f147]) ).
fof(f455,plain,
! [X0] :
( in(sK3(sK14,X0),sF17)
| ~ in(X0,sF15) ),
inference(forward_demodulation,[],[f454,f169]) ).
fof(f460,plain,
! [X0] :
( ~ in(X0,sF15)
| apply(sK14,sK3(sK14,X0)) = X0
| ~ relation(sK14)
| ~ function(sK14) ),
inference(superposition,[],[f162,f164]) ).
fof(f461,plain,
! [X0] :
( ~ in(X0,sF15)
| apply(sK14,sK3(sK14,X0)) = X0
| ~ function(sK14) ),
inference(forward_subsumption_resolution,[],[f460,f148]) ).
fof(f462,plain,
! [X0] :
( ~ in(X0,sF15)
| apply(sK14,sK3(sK14,X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f461,f147]) ).
fof(f517,plain,
! [X0] :
( ~ in(X0,relation_dom(sF18))
| in(apply(sK14,X0),relation_dom(sK13))
| ~ relation(sK14)
| ~ function(sK14)
| ~ relation(sK13)
| ~ function(sK13) ),
inference(superposition,[],[f142,f171]) ).
fof(f518,plain,
! [X0] :
( ~ in(X0,relation_dom(sF18))
| in(apply(sK14,X0),relation_dom(sK13))
| ~ function(sK14)
| ~ relation(sK13)
| ~ function(sK13) ),
inference(forward_subsumption_resolution,[],[f517,f148]) ).
fof(f519,plain,
! [X0] :
( ~ in(X0,relation_dom(sF18))
| in(apply(sK14,X0),relation_dom(sK13))
| ~ relation(sK13)
| ~ function(sK13) ),
inference(forward_subsumption_resolution,[],[f518,f147]) ).
fof(f520,plain,
! [X0] :
( ~ in(X0,relation_dom(sF18))
| in(apply(sK14,X0),relation_dom(sK13))
| ~ function(sK13) ),
inference(forward_subsumption_resolution,[],[f519,f146]) ).
fof(f521,plain,
! [X0] :
( ~ in(X0,relation_dom(sF18))
| in(apply(sK14,X0),relation_dom(sK13)) ),
inference(forward_subsumption_resolution,[],[f520,f145]) ).
fof(f522,plain,
! [X0] :
( ~ in(X0,sF17)
| in(apply(sK14,X0),relation_dom(sK13)) ),
inference(forward_demodulation,[],[f521,f175]) ).
fof(f523,plain,
! [X0] :
( in(apply(sK14,X0),sF16)
| ~ in(X0,sF17) ),
inference(forward_demodulation,[],[f522,f166]) ).
fof(f693,plain,
sK0(sF15,sF16) = apply(sK14,sK3(sK14,sK0(sF15,sF16))),
inference(resolution,[],[f462,f278]) ).
fof(f2183,plain,
( in(sK0(sF15,sF16),sF16)
| ~ in(sK3(sK14,sK0(sF15,sF16)),sF17) ),
inference(superposition,[],[f523,f693]) ).
fof(f2196,definition,
( spl20_38
<=> in(sK3(sK14,sK0(sF15,sF16)),sF17) ),
introduced(definition,[new_symbols(definition,[spl20_38])],[avatar_definition]) ).
fof(f2198,plain,
( ~ in(sK3(sK14,sK0(sF15,sF16)),sF17)
| spl20_38 ),
inference(avatar_component_clause,[],[f2196]) ).
fof(f2200,definition,
( spl20_39
<=> in(sK0(sF15,sF16),sF16) ),
introduced(definition,[new_symbols(definition,[spl20_39])],[avatar_definition]) ).
fof(f2202,plain,
( in(sK0(sF15,sF16),sF16)
| ~ spl20_39 ),
inference(avatar_component_clause,[],[f2200]) ).
fof(f2203,plain,
( ~ spl20_38
| spl20_39 ),
inference(avatar_split_clause,[],[f2183,f2200,f2196]) ).
fof(f2249,plain,
( ~ in(sK0(sF15,sF16),sF15)
| spl20_38 ),
inference(resolution,[],[f2198,f455]) ).
fof(f2250,plain,
( $false
| spl20_38 ),
inference(forward_subsumption_resolution,[],[f2249,f278]) ).
fof(f2251,plain,
spl20_38,
inference(avatar_contradiction_clause,[],[f2250]) ).
fof(f2337,plain,
( subset(sF15,sF16)
| ~ spl20_39 ),
inference(resolution,[],[f2202,f100]) ).
fof(f2342,plain,
( $false
| ~ spl20_39 ),
inference(forward_subsumption_resolution,[],[f2337,f167]) ).
fof(f2343,plain,
~ spl20_39,
inference(avatar_contradiction_clause,[],[f2342]) ).
cnf(s28,plain,
( ~ spl20_38
| spl20_39 ),
inference(sat_conversion,[],[f2203]) ).
cnf(s35,plain,
spl20_38,
inference(sat_conversion,[],[f2251]) ).
cnf(s46,plain,
~ spl20_39,
inference(sat_conversion,[],[f2343]) ).
cnf(s53,plain,
$false,
inference(rat,[],[s28,s46,s35]) ).
fof(f2344,plain,
$false,
inference(avatar_sat_refutation,[],[s53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU003+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.35 % Computer : n008.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Sep 28 03:22:39 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39 Running first-order model finding
% 0.14/0.39 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
% 2.92/0.92 % (1837434)Will run a generic schedule for satisfiability detection.
% 2.92/0.92 % (1837439)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2564247_2999 on theBenchmark for (2999ds/0Mi)
% 2.92/0.92 % TRYING [1]
% 2.92/0.92 % TRYING [2]
% 2.92/0.92 % TRYING [3]
% 2.92/0.92 % TRYING [4]
% 2.92/0.92 % (1837440)% WARNING: option uhcvi not known.
% 2.92/0.92 % (1837441)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1470423339:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.92/0.92 % (1837442)dis+10_1_sil=32000:sp=arity:random_seed=1645440944:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.92/0.92 % (1837443)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1860747537:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.92/0.92 % (1837444)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1144479418:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.92/0.92 % (1837445)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1205653307:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.92/0.92 % TRYING [5]
% 2.92/0.92 % (1837440)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=118172418:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.92/0.92 % TRYING [6]
% 2.92/0.92 % TRYING [7]
% 2.92/0.92 % (1837442)Instruction limit reached!
% 2.92/0.92 % (1837442)------------------------------
% 2.92/0.92 % (1837442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (1837442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (1837442)CaDiCaL version: 2.1.3
% 2.92/0.92 % (1837442)Termination reason: Instruction limit
% 2.92/0.92 % (1837442)Termination phase: Saturation
% 2.92/0.92 % (1837442)Time elapsed: 0.061 s
% 2.92/0.92 % (1837442)Peak memory usage: 12 MB
% 2.92/0.92 % (1837442)Instructions burned: 103 (million)
% 2.92/0.92 % (1837443)Instruction limit reached!
% 2.92/0.92 % (1837443)------------------------------
% 2.92/0.92 % (1837443)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (1837443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (1837443)CaDiCaL version: 2.1.3
% 2.92/0.92 % (1837443)Termination reason: Instruction limit
% 2.92/0.92 % (1837443)Termination phase: Saturation
% 2.92/0.92 % (1837443)Time elapsed: 0.070 s
% 2.92/0.92 % (1837443)Peak memory usage: 13 MB
% 2.92/0.92 % (1837443)Instructions burned: 116 (million)
% 2.92/0.92 % (1837444)Instruction limit reached!
% 2.92/0.92 % (1837444)------------------------------
% 2.92/0.92 % (1837444)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (1837444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (1837444)CaDiCaL version: 2.1.3
% 2.92/0.92 % (1837444)Termination reason: Instruction limit
% 2.92/0.92 % (1837444)Termination phase: Saturation
% 2.92/0.92 % (1837444)Time elapsed: 0.075 s
% 2.92/0.92 % (1837444)Peak memory usage: 13 MB
% 2.92/0.92 % (1837444)Instructions burned: 131 (million)
% 2.92/0.92 % (1837453)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2257269379:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.92/0.92 % TRYING [1]
% 2.92/0.92 % TRYING [2]
% 2.92/0.92 % TRYING [3]
% 2.92/0.92 % TRYING [4]
% 2.92/0.92 % (1837454)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1779850476:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.92/0.92 % (1837445)Instruction limit reached!
% 2.92/0.92 % (1837445)------------------------------
% 2.92/0.92 % (1837445)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (1837445)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (1837445)CaDiCaL version: 2.1.3
% 2.92/0.92 % (1837445)Termination reason: Instruction limit
% 2.92/0.92 % (1837445)Termination phase: Saturation
% 2.92/0.92 % (1837445)Time elapsed: 0.093 s
% 2.92/0.92 % (1837445)Peak memory usage: 14 MB
% 2.92/0.92 % (1837445)Instructions burned: 159 (million)
% 2.92/0.92 % (1837455)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=3439089815:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.92/0.92 % TRYING [5]
% 2.92/0.92 % TRYING [6]
% 2.92/0.92 % (1837458)ott-21_1_sil=16000:fs=off:random_seed=3646363722:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.92/0.92 % TRYING [7]
% 2.92/0.92 % (1837454)Instruction limit reached!
% 2.92/0.92 % (1837454)------------------------------
% 2.92/0.92 % (1837454)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (1837454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (1837454)CaDiCaL version: 2.1.3
% 2.92/0.92 % (1837454)Termination reason: Instruction limit
% 2.92/0.92 % (1837454)Termination phase: Saturation
% 2.92/0.92 % (1837454)Time elapsed: 0.080 s
% 2.92/0.92 % (1837454)Peak memory usage: 13 MB
% 2.92/0.92 % (1837454)Instructions burned: 131 (million)
% 2.92/0.92 % (1837461)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=4034284559:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.92/0.92 % (1837458)Instruction limit reached!
% 2.92/0.92 % (1837458)------------------------------
% 2.92/0.92 % (1837458)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (1837458)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (1837458)CaDiCaL version: 2.1.3
% 2.92/0.92 % (1837458)Termination reason: Instruction limit
% 2.92/0.92 % (1837458)Termination phase: Saturation
% 2.92/0.92 % (1837458)Time elapsed: 0.095 s
% 2.92/0.92 % (1837458)Peak memory usage: 12 MB
% 2.92/0.92 % (1837458)Instructions burned: 180 (million)
% 2.92/0.92 % TRYING [8]
% 2.92/0.92 % (1837463)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2208630081:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.92/0.92 % TRYING [1]
% 2.92/0.92 % TRYING [2]
% 2.92/0.92 % TRYING [3]
% 2.92/0.92 % TRYING [4]
% 2.92/0.92 % TRYING [5]
% 2.92/0.92 % TRYING [6]
% 2.92/0.92 % TRYING [7]
% 2.92/0.92 % (1837455)Instruction limit reached!
% 2.92/0.92 % (1837455)------------------------------
% 2.92/0.92 % (1837455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (1837455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (1837455)CaDiCaL version: 2.1.3
% 2.92/0.92 % (1837455)Termination reason: Instruction limit
% 2.92/0.92 % (1837455)Termination phase: Saturation
% 2.92/0.92 % (1837455)Time elapsed: 0.325 s
% 2.92/0.92 % (1837455)Peak memory usage: 18 MB
% 2.92/0.92 % (1837455)Instructions burned: 685 (million)
% 2.92/0.92 % TRYING [8]
% 2.92/0.92 % (1837465)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=199792466:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 2.92/0.92 % (1837453)Instruction limit reached!
% 2.92/0.92 % (1837453)------------------------------
% 2.92/0.92 % (1837453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (1837453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (1837453)CaDiCaL version: 2.1.3
% 2.92/0.92 % (1837453)Termination reason: Instruction limit
% 2.92/0.92 % (1837453)Termination phase: Finite model building constraint generation
% 2.92/0.92 % (1837453)Time elapsed: 0.365 s
% 2.92/0.92 % (1837453)Peak memory usage: 21 MB
% 2.92/0.92 % (1837453)Instructions burned: 716 (million)
% 2.92/0.92 % (1837467)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1513909710:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 2.92/0.92 % (1837465) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1837434-1837465"...
% 2.92/0.92 % (1837465)...printing done.
% 2.92/0.92 % (1837465)Refutation found. Thanks to Tanya!
% 2.92/0.92 % SZS status Theorem for theBenchmark
% 2.92/0.92 % SZS output start Proof for theBenchmark
% See solution above
% 2.92/0.92 % (1837465)------------------------------
% 2.92/0.92 % (1837465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.92/0.92 % (1837465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/0.92 % (1837465)CaDiCaL version: 2.1.3
% 2.92/0.92 % (1837465)Termination reason: Refutation
% 2.92/0.92 % (1837465)Time elapsed: 0.040 s
% 2.92/0.92 % (1837465)Peak memory usage: 13 MB
% 2.92/0.92 % (1837465)Instructions burned: 66 (million)
% 2.92/0.92 % (1837434)Success in time 0.523 s
% 2.92/0.92 % Vampire exiting
%------------------------------------------------------------------------------