%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU170+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:47:33 PM UTC 2026
% Result : Theorem 4.75s 1.68s
% Output : Refutation 6.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 81 ( 9 unt; 2 def)
% Number of atoms : 324 ( 28 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 388 ( 145 ~; 143 |; 81 &)
% ( 10 <=>; 8 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 154 ( 0 sgn 131 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f14,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f15,axiom,
! [X0,X1,X2] :
( X2 = set_intersection2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f17,axiom,
! [X0,X1,X2] :
( X2 = set_difference(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& ~ in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_xboole_0) ).
fof(f18,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> subset_complement(X0,X1) = set_difference(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_subset_1) ).
fof(f50,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> ! [X2] :
( in(X2,X1)
=> in(X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_subset_1) ).
fof(f86,axiom,
! [X0,X1] :
( ~ ( ~ disjoint(X0,X1)
& ! [X2] :
~ ( in(X2,X0)
& in(X2,X1) ) )
& ~ ( ? [X2] :
( in(X2,X0)
& in(X2,X1) )
& disjoint(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_0) ).
fof(f89,conjecture,
! [X0,X1] :
( element(X1,powerset(X0))
=> ! [X2] :
( element(X2,powerset(X0))
=> ( disjoint(X1,X2)
<=> subset(X1,subset_complement(X0,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_subset_1) ).
fof(f90,negated_conjecture,
~ ! [X0,X1] :
( element(X1,powerset(X0))
=> ! [X2] :
( element(X2,powerset(X0))
=> ( disjoint(X1,X2)
<=> subset(X1,subset_complement(X0,X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f89]) ).
fof(f95,axiom,
! [X0,X1] :
( ~ ( ~ disjoint(X0,X1)
& ! [X2] : ~ in(X2,set_intersection2(X0,X1)) )
& ~ ( ? [X2] : in(X2,set_intersection2(X0,X1))
& disjoint(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_xboole_0) ).
fof(f117,plain,
! [X0,X1] :
( ~ ( ~ disjoint(X0,X1)
& ! [X2] :
~ ( in(X2,X0)
& in(X2,X1) ) )
& ~ ( ? [X3] :
( in(X3,X0)
& in(X3,X1) )
& disjoint(X0,X1) ) ),
inference(rectify,[],[f86]) ).
fof(f118,plain,
! [X0,X1] :
( ~ ( ~ disjoint(X0,X1)
& ! [X2] : ~ in(X2,set_intersection2(X0,X1)) )
& ~ ( ? [X3] : in(X3,set_intersection2(X0,X1))
& disjoint(X0,X1) ) ),
inference(rectify,[],[f95]) ).
fof(f126,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f127,plain,
! [X0,X1] :
( subset_complement(X0,X1) = set_difference(X0,X1)
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f18]) ).
fof(f137,plain,
! [X0,X1] :
( ! [X2] :
( in(X2,X0)
| ~ in(X2,X1) )
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f50]) ).
fof(f159,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| ? [X2] :
( in(X2,X0)
& in(X2,X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X3,X1) )
| ~ disjoint(X0,X1) ) ),
inference(ennf_transformation,[],[f117]) ).
fof(f161,plain,
? [X0,X1] :
( ? [X2] :
( ( disjoint(X1,X2)
<~> subset(X1,subset_complement(X0,X2)) )
& element(X2,powerset(X0)) )
& element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f90]) ).
fof(f164,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| ? [X2] : in(X2,set_intersection2(X0,X1)) )
& ( ! [X3] : ~ in(X3,set_intersection2(X0,X1))
| ~ disjoint(X0,X1) ) ),
inference(ennf_transformation,[],[f118]) ).
fof(f202,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,[],[f126]) ).
fof(f203,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,[],[f202]) ).
fof(f204,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK10(X0,X1),X1)
& in(sK10(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f203]) ).
fof(f205,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X1) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f206,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X1) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(flattening,[],[f205]) ).
fof(f207,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(rectify,[],[f206]) ).
fof(f208,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ( ( ~ in(sK11(X0,X1,X2),X0)
| ~ in(sK11(X0,X1,X2),X1)
| ~ in(sK11(X0,X1,X2),X2) )
& ( ( in(sK11(X0,X1,X2),X0)
& in(sK11(X0,X1,X2),X1) )
| in(sK11(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X3,sK11(X0,X1,X2))],[f207]) ).
fof(f212,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| in(X3,X1) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f213,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| in(X3,X1) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| ~ in(X3,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(flattening,[],[f212]) ).
fof(f214,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& ~ in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1) )
& ( ( in(X4,X0)
& ~ in(X4,X1) )
| ~ in(X4,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(rectify,[],[f213]) ).
fof(f215,plain,
! [X0,X1,X2] :
( ( X2 = set_difference(X0,X1)
| ( ( ~ in(sK15(X0,X1,X2),X0)
| in(sK15(X0,X1,X2),X1)
| ~ in(sK15(X0,X1,X2),X2) )
& ( ( in(sK15(X0,X1,X2),X0)
& ~ in(sK15(X0,X1,X2),X1) )
| in(sK15(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| in(X4,X1) )
& ( ( in(X4,X0)
& ~ in(X4,X1) )
| ~ in(X4,X2) ) )
| set_difference(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X3,sK15(X0,X1,X2))],[f214]) ).
fof(f239,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| ( in(sK23(X0,X1),X0)
& in(sK23(X0,X1),X1) ) )
& ( ! [X3] :
( ~ in(X3,X0)
| ~ in(X3,X1) )
| ~ disjoint(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(X2,sK23(X0,X1))],[f159]) ).
fof(f240,plain,
? [X0,X1] :
( ? [X2] :
( ( ~ subset(X1,subset_complement(X0,X2))
| ~ disjoint(X1,X2) )
& ( subset(X1,subset_complement(X0,X2))
| disjoint(X1,X2) )
& element(X2,powerset(X0)) )
& element(X1,powerset(X0)) ),
inference(nnf_transformation,[],[f161]) ).
fof(f241,plain,
? [X0,X1] :
( ? [X2] :
( ( ~ subset(X1,subset_complement(X0,X2))
| ~ disjoint(X1,X2) )
& ( subset(X1,subset_complement(X0,X2))
| disjoint(X1,X2) )
& element(X2,powerset(X0)) )
& element(X1,powerset(X0)) ),
inference(flattening,[],[f240]) ).
fof(f242,plain,
( ( ~ subset(sK25,subset_complement(sK24,sK26))
| ~ disjoint(sK25,sK26) )
& ( subset(sK25,subset_complement(sK24,sK26))
| disjoint(sK25,sK26) )
& element(sK26,powerset(sK24))
& element(sK25,powerset(sK24)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24,sK25,sK26]),skolemize(X0,sK24),skolemize(X1,sK25),skolemize(X2,sK26)],[f241]) ).
fof(f243,plain,
! [X0,X1] :
( ( disjoint(X0,X1)
| in(sK27(X0,X1),set_intersection2(X0,X1)) )
& ( ! [X3] : ~ in(X3,set_intersection2(X0,X1))
| ~ disjoint(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27]),skolemize(X2,sK27(X0,X1))],[f164]) ).
fof(f251,plain,
! [X0,X1] : set_intersection2(X0,X1) = set_intersection2(X1,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f289,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f290,plain,
! [X0,X1] :
( in(sK10(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f291,plain,
! [X0,X1] :
( ~ in(sK10(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f294,plain,
! [X2,X0,X1,X4] :
( set_intersection2(X0,X1) != X2
| ~ in(X4,X0)
| ~ in(X4,X1)
| in(X4,X2) ),
inference(cnf_transformation,[],[f208]) ).
fof(f304,plain,
! [X2,X0,X1,X4] :
( set_difference(X0,X1) != X2
| ~ in(X4,X2)
| ~ in(X4,X1) ),
inference(cnf_transformation,[],[f215]) ).
fof(f306,plain,
! [X2,X0,X1,X4] :
( set_difference(X0,X1) != X2
| ~ in(X4,X0)
| in(X4,X1)
| in(X4,X2) ),
inference(cnf_transformation,[],[f215]) ).
fof(f310,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| set_difference(X0,X1) = subset_complement(X0,X1) ),
inference(cnf_transformation,[],[f127]) ).
fof(f334,plain,
! [X2,X0,X1] :
( ~ element(X1,powerset(X0))
| ~ in(X2,X1)
| in(X2,X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f390,plain,
! [X0,X1] :
( in(sK23(X0,X1),X1)
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f239]) ).
fof(f391,plain,
! [X0,X1] :
( in(sK23(X0,X1),X0)
| disjoint(X0,X1) ),
inference(cnf_transformation,[],[f239]) ).
fof(f394,plain,
element(sK25,powerset(sK24)),
inference(cnf_transformation,[],[f242]) ).
fof(f395,plain,
element(sK26,powerset(sK24)),
inference(cnf_transformation,[],[f242]) ).
fof(f396,plain,
( subset(sK25,subset_complement(sK24,sK26))
| disjoint(sK25,sK26) ),
inference(cnf_transformation,[],[f242]) ).
fof(f397,plain,
( ~ subset(sK25,subset_complement(sK24,sK26))
| ~ disjoint(sK25,sK26) ),
inference(cnf_transformation,[],[f242]) ).
fof(f402,plain,
! [X3,X0,X1] :
( ~ in(X3,set_intersection2(X0,X1))
| ~ disjoint(X0,X1) ),
inference(cnf_transformation,[],[f243]) ).
fof(f426,definition,
( spl30_1
<=> disjoint(sK25,sK26) ),
introduced(definition,[new_symbols(definition,[spl30_1])],[avatar_definition]) ).
fof(f427,plain,
( ~ disjoint(sK25,sK26)
| spl30_1 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f428,plain,
( disjoint(sK25,sK26)
| ~ spl30_1 ),
inference(avatar_component_clause,[],[f426]) ).
fof(f430,definition,
( spl30_2
<=> subset(sK25,subset_complement(sK24,sK26)) ),
introduced(definition,[new_symbols(definition,[spl30_2])],[avatar_definition]) ).
fof(f431,plain,
( ~ subset(sK25,subset_complement(sK24,sK26))
| spl30_2 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f432,plain,
( subset(sK25,subset_complement(sK24,sK26))
| ~ spl30_2 ),
inference(avatar_component_clause,[],[f430]) ).
fof(f433,plain,
( spl30_1
| spl30_2 ),
inference(avatar_split_clause,[],[f396,f430,f426]) ).
fof(f434,plain,
( ~ spl30_1
| ~ spl30_2 ),
inference(avatar_split_clause,[],[f397,f430,f426]) ).
fof(f465,plain,
( in(sK23(sK25,sK26),sK26)
| spl30_1 ),
inference(unit_resulting_resolution,[],[f390,f427]) ).
fof(f467,plain,
( in(sK23(sK25,sK26),sK25)
| spl30_1 ),
inference(unit_resulting_resolution,[],[f391,f427]) ).
fof(f511,plain,
( in(sK23(sK25,sK26),subset_complement(sK24,sK26))
| spl30_1
| ~ spl30_2 ),
inference(unit_resulting_resolution,[],[f289,f467,f432]) ).
fof(f548,plain,
subset_complement(sK24,sK26) = set_difference(sK24,sK26),
inference(unit_resulting_resolution,[],[f310,f395]) ).
fof(f3320,plain,
( ~ in(sK23(sK25,sK26),sK26)
| spl30_1
| ~ spl30_2 ),
inference(unit_resulting_resolution,[],[f304,f548,f511]) ).
fof(f3348,plain,
( $false
| spl30_1
| ~ spl30_2 ),
inference(forward_subsumption_resolution,[],[f3320,f465]) ).
fof(f3349,plain,
( spl30_1
| ~ spl30_2 ),
inference(avatar_contradiction_clause,[],[f3348]) ).
fof(f3356,plain,
( ! [X0] : ~ in(X0,set_intersection2(sK25,sK26))
| ~ spl30_1 ),
inference(unit_resulting_resolution,[],[f402,f428]) ).
fof(f3363,plain,
( in(sK10(sK25,subset_complement(sK24,sK26)),sK25)
| spl30_2 ),
inference(unit_resulting_resolution,[],[f290,f431]) ).
fof(f3364,plain,
( ~ in(sK10(sK25,subset_complement(sK24,sK26)),subset_complement(sK24,sK26))
| spl30_2 ),
inference(unit_resulting_resolution,[],[f291,f431]) ).
fof(f3668,plain,
( ~ in(sK10(sK25,subset_complement(sK24,sK26)),sK26)
| ~ spl30_1
| spl30_2 ),
inference(unit_resulting_resolution,[],[f294,f251,f3356,f3363]) ).
fof(f3708,plain,
( in(sK10(sK25,subset_complement(sK24,sK26)),sK24)
| spl30_2 ),
inference(unit_resulting_resolution,[],[f334,f394,f3363]) ).
fof(f8515,plain,
( subset_complement(sK24,sK26) != set_difference(sK24,sK26)
| ~ spl30_1
| spl30_2 ),
inference(unit_resulting_resolution,[],[f306,f3364,f3668,f3708]) ).
fof(f8668,plain,
( $false
| ~ spl30_1
| spl30_2 ),
inference(forward_subsumption_resolution,[],[f8515,f548]) ).
fof(f8669,plain,
( ~ spl30_1
| spl30_2 ),
inference(avatar_contradiction_clause,[],[f8668]) ).
cnf(s1,plain,
( spl30_1
| spl30_2 ),
inference(sat_conversion,[],[f433]) ).
cnf(s2,plain,
( ~ spl30_1
| ~ spl30_2 ),
inference(sat_conversion,[],[f434]) ).
cnf(s13,plain,
( spl30_1
| ~ spl30_2 ),
inference(sat_conversion,[],[f3349]) ).
cnf(s45,plain,
( ~ spl30_1
| spl30_2 ),
inference(sat_conversion,[],[f8669]) ).
cnf(s46,plain,
spl30_1,
inference(rat,[],[s1,s13]) ).
cnf(s47,plain,
spl30_2,
inference(rat,[],[s45,s46]) ).
cnf(s48,plain,
$false,
inference(rat,[],[s2,s47,s46]) ).
fof(f8670,plain,
$false,
inference(avatar_sat_refutation,[],[s48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU170+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Mon Sep 28 03:47:36 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.75/1.68 % (3186210)Detected formulas, will run a generic FOF schedule.
% 4.75/1.68 % (3186221)dis-21_1_sil=8000:lcm=predicate:random_seed=1873326710: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)
% 4.75/1.68 % (3186216)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=2416775309:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.75/1.68 % (3186217)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=385192114:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.75/1.68 % (3186219)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=949011865:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.75/1.68 % (3186215)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=2583842575:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.75/1.68 % (3186218)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2578760132:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.75/1.68 % (3186220)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2076959394:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.75/1.68 % (3186221)Instruction limit reached!
% 4.75/1.68 % (3186221)------------------------------
% 4.75/1.68 % (3186221)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.68 % (3186221)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.68 % (3186221)CaDiCaL version: 2.1.3
% 4.75/1.68 % (3186221)Termination reason: Instruction limit
% 4.75/1.68 % (3186221)Termination phase: Saturation
% 4.75/1.68 % (3186221)Time elapsed: 0.047 s
% 4.75/1.68 % (3186221)Peak memory usage: 89 MB
% 4.75/1.68 % (3186221)Instructions burned: 132 (million)
% 4.75/1.68 % (3186218)Instruction limit reached!
% 4.75/1.68 % (3186218)------------------------------
% 4.75/1.68 % (3186218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.68 % (3186218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.68 % (3186218)CaDiCaL version: 2.1.3
% 4.75/1.68 % (3186218)Termination reason: Instruction limit
% 4.75/1.68 % (3186218)Termination phase: Saturation
% 4.75/1.68 % (3186218)Time elapsed: 0.074 s
% 4.75/1.68 % (3186218)Peak memory usage: 89 MB
% 4.75/1.68 % (3186218)Instructions burned: 109 (million)
% 4.75/1.68 % (3186219)Instruction limit reached!
% 4.75/1.68 % (3186219)------------------------------
% 4.75/1.68 % (3186219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.68 % (3186219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.68 % (3186219)CaDiCaL version: 2.1.3
% 4.75/1.68 % (3186219)Termination reason: Instruction limit
% 4.75/1.68 % (3186219)Termination phase: Saturation
% 4.75/1.68 % (3186219)Time elapsed: 0.079 s
% 4.75/1.68 % (3186219)Peak memory usage: 89 MB
% 4.75/1.68 % (3186219)Instructions burned: 120 (million)
% 4.75/1.68 % (3186220)Instruction limit reached!
% 4.75/1.68 % (3186220)------------------------------
% 4.75/1.68 % (3186220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.68 % (3186220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.68 % (3186220)CaDiCaL version: 2.1.3
% 4.75/1.68 % (3186220)Termination reason: Instruction limit
% 4.75/1.68 % (3186220)Termination phase: Saturation
% 4.75/1.68 % (3186220)Time elapsed: 0.102 s
% 4.75/1.68 % (3186220)Peak memory usage: 90 MB
% 4.75/1.68 % (3186220)Instructions burned: 140 (million)
% 4.75/1.68 % (3186229)lrs+10_1_sil=8000:sp=occurrence:random_seed=1668736508:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.75/1.68 % (3186231)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1493233196:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.75/1.68 % (3186230)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1876467109:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.75/1.68 % (3186229)Instruction limit reached!
% 4.75/1.68 % (3186229)------------------------------
% 4.75/1.68 % (3186229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.68 % (3186229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.68 % (3186229)CaDiCaL version: 2.1.3
% 4.75/1.68 % (3186229)Termination reason: Instruction limit
% 4.75/1.68 % (3186229)Termination phase: Saturation
% 4.75/1.68 % (3186229)Time elapsed: 0.105 s
% 4.75/1.68 % (3186229)Peak memory usage: 92 MB
% 4.75/1.68 % (3186229)Instructions burned: 286 (million)
% 4.75/1.68 % (3186232)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=3784531031:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.75/1.68 % (3186230)Instruction limit reached!
% 4.75/1.68 % (3186230)------------------------------
% 4.75/1.68 % (3186230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.68 % (3186230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.68 % (3186230)CaDiCaL version: 2.1.3
% 4.75/1.68 % (3186230)Termination reason: Instruction limit
% 4.75/1.68 % (3186230)Termination phase: Saturation
% 4.75/1.68 % (3186230)Time elapsed: 0.098 s
% 4.75/1.68 % (3186230)Peak memory usage: 90 MB
% 4.75/1.68 % (3186230)Instructions burned: 157 (million)
% 4.75/1.68 % (3186236)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3135462545:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.75/1.68 % (3186232)First to succeed.
% 4.75/1.68 % (3186232)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3186210"
% 4.75/1.68 % (3186236)Instruction limit reached!
% 4.75/1.68 % (3186236)------------------------------
% 4.75/1.68 % (3186236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.68 % (3186236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.68 % (3186236)CaDiCaL version: 2.1.3
% 4.75/1.68 % (3186236)Termination reason: Instruction limit
% 4.75/1.68 % (3186236)Termination phase: Saturation
% 4.75/1.68 % (3186236)Time elapsed: 0.100 s
% 4.75/1.68 % (3186236)Peak memory usage: 90 MB
% 4.75/1.68 % (3186236)Instructions burned: 297 (million)
% 4.75/1.68 % (3186231)Instruction limit reached!
% 4.75/1.68 % (3186231)------------------------------
% 4.75/1.68 % (3186231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.68 % (3186231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.68 % (3186231)CaDiCaL version: 2.1.3
% 4.75/1.68 % (3186231)Termination reason: Instruction limit
% 4.75/1.68 % (3186231)Termination phase: Saturation
% 4.75/1.68 % (3186231)Time elapsed: 0.230 s
% 4.75/1.68 % (3186231)Peak memory usage: 92 MB
% 4.75/1.68 % (3186231)Instructions burned: 326 (million)
% 4.75/1.68 % (3186238)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3908099466:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.75/1.68 % (3186240)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=700781721:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 4.75/1.68 % (3186240)Instruction limit reached!
% 4.75/1.68 % (3186240)------------------------------
% 4.75/1.68 % (3186240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.75/1.68 % (3186240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.75/1.68 % (3186240)CaDiCaL version: 2.1.3
% 4.75/1.68 % (3186240)Termination reason: Instruction limit
% 4.75/1.68 % (3186240)Termination phase: Saturation
% 4.75/1.68 % (3186240)Time elapsed: 0.037 s
% 4.75/1.68 % (3186240)Peak memory usage: 89 MB
% 4.75/1.68 % (3186240)Instructions burned: 117 (million)
% 4.75/1.68 % (3186241)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3793672035:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 4.75/1.68 % (3186232)Refutation found. Thanks to Tanya!
% 4.75/1.68 % SZS status Theorem for theBenchmark
% 4.75/1.68 % SZS output start Proof for theBenchmark
% See solution above
% 6.39/1.88 % (3186232)------------------------------
% 6.39/1.88 % (3186232)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.39/1.88 % (3186232)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.39/1.88 % (3186232)CaDiCaL version: 2.1.3
% 6.39/1.88 % (3186232)Termination reason: Refutation
% 6.39/1.88 % (3186232)Time elapsed: 0.149 s
% 6.39/1.88 % (3186232)Peak memory usage: 93 MB
% 6.39/1.88 % (3186232)Instructions burned: 249 (million)
% 6.39/1.88 % (3186232)------------------------------
% 6.39/1.88 % (3186232)------------------------------
% 6.39/1.88 % (3186210)Success in time 0.827 s
% 6.39/1.88 % Vampire exiting
%------------------------------------------------------------------------------