%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS175+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 11:41:50 AM UTC 2026
% Result : Theorem 1.44s 1.31s
% Output : Refutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 17
% Syntax : Number of formulae : 119 ( 23 unt; 9 def)
% Number of atoms : 433 ( 50 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 523 ( 209 ~; 261 |; 32 &)
% ( 19 <=>; 0 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 10 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 41 ( 0 sgn 32 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f9,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f10,axiom,
! [X0] :
( cA(X0)
<=> X0 = ia ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f11,axiom,
! [X0] :
( cA_and_B(X0)
<=> ( cA(X0)
| cB(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f12,axiom,
! [X0] :
( cB(X0)
<=> X0 = ib ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f13,axiom,
cowlThing(ia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f14,axiom,
cowlThing(ib),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f15,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cA_and_B(X0)
<=> ( X0 = ib
| X0 = ia ) )
& cowlThing(ia)
& cowlThing(ib) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f16,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cA_and_B(X0)
<=> ( X0 = ib
| X0 = ia ) )
& cowlThing(ia)
& cowlThing(ib) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
fof(f17,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2] :
( cA_and_B(X2)
<=> ( ib = X2
| ia = X2 ) )
& cowlThing(ia)
& cowlThing(ib) ),
inference(rectify,[],[f16]) ).
fof(f32,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2] :
( cA_and_B(X2)
<~> ( ib = X2
| ia = X2 ) )
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(ennf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f34,plain,
! [X0] :
( ( cA(X0)
| ia != X0 )
& ( X0 = ia
| ~ cA(X0) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f35,plain,
! [X0] :
( ( cA_and_B(X0)
| ( ~ cA(X0)
& ~ cB(X0) ) )
& ( cA(X0)
| cB(X0)
| ~ cA_and_B(X0) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f36,plain,
! [X0] :
( ( cA_and_B(X0)
| ( ~ cA(X0)
& ~ cB(X0) ) )
& ( cA(X0)
| cB(X0)
| ~ cA_and_B(X0) ) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0] :
( ( cB(X0)
| ib != X0 )
& ( X0 = ib
| ~ cB(X0) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f38,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X2] :
( ( ( ib != X2
& ia != X2 )
| ~ cA_and_B(X2) )
& ( ib = X2
| ia = X2
| cA_and_B(X2) ) )
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(nnf_transformation,[],[f32]) ).
fof(f39,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X2] :
( ( ( ib != X2
& ia != X2 )
| ~ cA_and_B(X2) )
& ( ib = X2
| ia = X2
| cA_and_B(X2) ) )
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(flattening,[],[f38]) ).
fof(f40,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) )
| ( ( ( ib != sK2
& ia != sK2 )
| ~ cA_and_B(sK2) )
& ( ib = sK2
| ia = sK2
| cA_and_B(sK2) ) )
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f39]) ).
fof(f48,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f8]) ).
fof(f49,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f8]) ).
fof(f50,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f51,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f33]) ).
fof(f52,plain,
! [X0] :
( ~ cA(X0)
| ia = X0 ),
inference(cnf_transformation,[],[f34]) ).
fof(f53,plain,
! [X0] :
( cA(X0)
| ia != X0 ),
inference(cnf_transformation,[],[f34]) ).
fof(f54,plain,
! [X0] :
( cB(X0)
| cA(X0)
| ~ cA_and_B(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f55,plain,
! [X0] :
( cA_and_B(X0)
| ~ cB(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f56,plain,
! [X0] :
( cA_and_B(X0)
| ~ cA(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f57,plain,
! [X0] :
( ~ cB(X0)
| ib = X0 ),
inference(cnf_transformation,[],[f37]) ).
fof(f58,plain,
! [X0] :
( cB(X0)
| ib != X0 ),
inference(cnf_transformation,[],[f37]) ).
fof(f59,plain,
cowlThing(ia),
inference(cnf_transformation,[],[f13]) ).
fof(f60,plain,
cowlThing(ib),
inference(cnf_transformation,[],[f14]) ).
fof(f61,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ib = sK2
| ia = sK2
| cA_and_B(sK2)
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(cnf_transformation,[],[f40]) ).
fof(f62,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ia != sK2
| ~ cA_and_B(sK2)
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(cnf_transformation,[],[f40]) ).
fof(f63,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ib != sK2
| ~ cA_and_B(sK2)
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(cnf_transformation,[],[f40]) ).
fof(f64,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ib = sK2
| ia = sK2
| cA_and_B(sK2)
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(cnf_transformation,[],[f40]) ).
fof(f65,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ia != sK2
| ~ cA_and_B(sK2)
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(cnf_transformation,[],[f40]) ).
fof(f66,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ib != sK2
| ~ cA_and_B(sK2)
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(cnf_transformation,[],[f40]) ).
fof(f74,plain,
cA(ia),
inference(equality_resolution,[],[f53]) ).
fof(f75,plain,
cB(ib),
inference(equality_resolution,[],[f58]) ).
fof(f77,definition,
( spl3_1
<=> cowlThing(ib) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f81,definition,
( spl3_2
<=> cowlThing(ia) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f85,definition,
( spl3_3
<=> cA_and_B(sK2) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f86,plain,
( ~ cA_and_B(sK2)
| spl3_3 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f87,plain,
( cA_and_B(sK2)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f89,definition,
( spl3_4
<=> ia = sK2 ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f90,plain,
( ia != sK2
| spl3_4 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f91,plain,
( ia = sK2
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f93,definition,
( spl3_5
<=> ib = sK2 ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f94,plain,
( ib != sK2
| spl3_5 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f95,plain,
( ib = sK2
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f97,definition,
( spl3_6
<=> xsd_string(sK1) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f99,plain,
( xsd_string(sK1)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f101,definition,
( spl3_7
<=> xsd_integer(sK1) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f103,plain,
( ~ xsd_integer(sK1)
| spl3_7 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f105,definition,
( spl3_8
<=> cowlNothing(sK0) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f107,plain,
( cowlNothing(sK0)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f109,definition,
( spl3_9
<=> cowlThing(sK0) ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
fof(f111,plain,
( ~ cowlThing(sK0)
| spl3_9 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f112,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_3
| spl3_4
| spl3_5
| spl3_6
| ~ spl3_7
| spl3_8
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f61,f109,f105,f101,f97,f93,f89,f85,f81,f77]) ).
fof(f113,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| spl3_6
| ~ spl3_7
| spl3_8
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f62,f109,f105,f101,f97,f89,f85,f81,f77]) ).
fof(f114,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| spl3_6
| ~ spl3_7
| spl3_8
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f63,f109,f105,f101,f97,f93,f85,f81,f77]) ).
fof(f115,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_3
| spl3_4
| spl3_5
| ~ spl3_6
| spl3_7
| spl3_8
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f64,f109,f105,f101,f97,f93,f89,f85,f81,f77]) ).
fof(f116,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| spl3_7
| spl3_8
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f65,f109,f105,f101,f97,f89,f85,f81,f77]) ).
fof(f117,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| spl3_7
| spl3_8
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f66,f109,f105,f101,f97,f93,f85,f81,f77]) ).
fof(f118,plain,
spl3_1,
inference(avatar_split_clause,[],[f60,f77]) ).
fof(f119,plain,
spl3_2,
inference(avatar_split_clause,[],[f59,f81]) ).
fof(f120,plain,
( $false
| spl3_9 ),
inference(resolution,[],[f49,f111]) ).
fof(f121,plain,
spl3_9,
inference(avatar_contradiction_clause,[],[f120]) ).
fof(f122,plain,
( xsd_string(sK1)
| spl3_7 ),
inference(resolution,[],[f51,f103]) ).
fof(f125,plain,
( ~ xsd_integer(sK1)
| ~ spl3_6 ),
inference(resolution,[],[f99,f50]) ).
fof(f126,plain,
( ~ spl3_7
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f125,f97,f101]) ).
fof(f127,plain,
( $false
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f107,f48]) ).
fof(f128,plain,
~ spl3_8,
inference(avatar_contradiction_clause,[],[f127]) ).
fof(f132,plain,
! [X0] :
( cA(X0)
| ~ cA_and_B(X0)
| ib = X0 ),
inference(resolution,[],[f54,f57]) ).
fof(f133,plain,
! [X0] :
( ~ cA_and_B(X0)
| ib = X0
| ia = X0 ),
inference(resolution,[],[f132,f52]) ).
fof(f134,plain,
( ib = sK2
| ia = sK2
| ~ spl3_3 ),
inference(resolution,[],[f133,f87]) ).
fof(f137,plain,
( ia = sK2
| ~ spl3_3
| spl3_5 ),
inference(forward_subsumption_resolution,[],[f134,f94]) ).
fof(f138,plain,
( $false
| ~ spl3_3
| spl3_4
| spl3_5 ),
inference(forward_subsumption_resolution,[],[f137,f90]) ).
fof(f139,plain,
( ~ spl3_3
| spl3_4
| spl3_5 ),
inference(avatar_contradiction_clause,[],[f138]) ).
fof(f140,plain,
( ~ cA(sK2)
| spl3_3 ),
inference(resolution,[],[f86,f56]) ).
fof(f141,plain,
( ~ cB(sK2)
| spl3_3 ),
inference(resolution,[],[f86,f55]) ).
fof(f142,plain,
( cA(sK2)
| ~ spl3_4 ),
inference(superposition,[],[f74,f91]) ).
fof(f146,plain,
( $false
| spl3_3
| ~ spl3_4 ),
inference(forward_subsumption_resolution,[],[f142,f140]) ).
fof(f147,plain,
( spl3_3
| ~ spl3_4 ),
inference(avatar_contradiction_clause,[],[f146]) ).
fof(f148,plain,
( spl3_6
| spl3_7 ),
inference(avatar_split_clause,[],[f122,f101,f97]) ).
fof(f151,plain,
( cB(sK2)
| ~ spl3_5 ),
inference(superposition,[],[f75,f95]) ).
fof(f153,plain,
( $false
| spl3_3
| ~ spl3_5 ),
inference(forward_subsumption_resolution,[],[f151,f141]) ).
fof(f154,plain,
( spl3_3
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f153]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_3
| spl3_4
| spl3_5
| spl3_6
| ~ spl3_7
| spl3_8
| ~ spl3_9 ),
inference(sat_conversion,[],[f112]) ).
cnf(s2,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| spl3_6
| ~ spl3_7
| spl3_8
| ~ spl3_9 ),
inference(sat_conversion,[],[f113]) ).
cnf(s3,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| spl3_6
| ~ spl3_7
| spl3_8
| ~ spl3_9 ),
inference(sat_conversion,[],[f114]) ).
cnf(s4,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_3
| spl3_4
| spl3_5
| ~ spl3_6
| spl3_7
| spl3_8
| ~ spl3_9 ),
inference(sat_conversion,[],[f115]) ).
cnf(s5,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| spl3_7
| spl3_8
| ~ spl3_9 ),
inference(sat_conversion,[],[f116]) ).
cnf(s6,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| spl3_7
| spl3_8
| ~ spl3_9 ),
inference(sat_conversion,[],[f117]) ).
cnf(s7,plain,
spl3_1,
inference(sat_conversion,[],[f118]) ).
cnf(s8,plain,
spl3_2,
inference(sat_conversion,[],[f119]) ).
cnf(s9,plain,
spl3_9,
inference(sat_conversion,[],[f121]) ).
cnf(s11,plain,
( ~ spl3_6
| ~ spl3_7 ),
inference(sat_conversion,[],[f126]) ).
cnf(s12,plain,
~ spl3_8,
inference(sat_conversion,[],[f128]) ).
cnf(s13,plain,
( ~ spl3_3
| spl3_4
| spl3_5 ),
inference(sat_conversion,[],[f139]) ).
cnf(s14,plain,
( spl3_3
| ~ spl3_4 ),
inference(sat_conversion,[],[f147]) ).
cnf(s16,plain,
( spl3_6
| spl3_7 ),
inference(sat_conversion,[],[f148]) ).
cnf(s19,plain,
( spl3_3
| ~ spl3_5 ),
inference(sat_conversion,[],[f154]) ).
cnf(s20,plain,
( ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| spl3_7 ),
inference(rat,[],[s6,s9,s12,s8,s7]) ).
cnf(s21,plain,
( ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| spl3_7 ),
inference(rat,[],[s5,s9,s12,s8,s7]) ).
cnf(s22,plain,
( spl3_3
| spl3_4
| spl3_5
| ~ spl3_6
| spl3_7 ),
inference(rat,[],[s4,s9,s12,s8,s7]) ).
cnf(s23,plain,
( ~ spl3_3
| ~ spl3_5
| spl3_6
| ~ spl3_7 ),
inference(rat,[],[s3,s9,s12,s8,s7]) ).
cnf(s24,plain,
( ~ spl3_3
| ~ spl3_4
| spl3_6
| ~ spl3_7 ),
inference(rat,[],[s2,s9,s12,s8,s7]) ).
cnf(s25,plain,
( spl3_3
| spl3_4
| spl3_5
| spl3_6
| ~ spl3_7 ),
inference(rat,[],[s1,s9,s12,s8,s7]) ).
cnf(s26,plain,
( spl3_6
| spl3_3 ),
inference(rat,[],[s25,s16,s19,s14]) ).
cnf(s27,plain,
spl3_3,
inference(rat,[],[s22,s11,s26,s14,s19]) ).
cnf(s28,plain,
( spl3_6
| ~ spl3_5 ),
inference(rat,[],[s23,s16,s27]) ).
cnf(s29,plain,
~ spl3_5,
inference(rat,[],[s20,s11,s28,s27]) ).
cnf(s30,plain,
spl3_4,
inference(rat,[],[s13,s27,s29]) ).
cnf(s31,plain,
spl3_6,
inference(rat,[],[s24,s16,s27,s30]) ).
cnf(s32,plain,
~ spl3_7,
inference(rat,[],[s11,s31]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s21,s30,s27,s32,s31]) ).
fof(f155,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS175+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:36:36 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 1.44/1.31 % (3533503)Detected formulas, will run a generic FOF schedule.
% 1.44/1.31 % (3533611)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=249144040:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.44/1.31 % (3533610)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=1079403056:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.44/1.31 % (3533613)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=544216023:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.44/1.31 % (3533609)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=3610382554:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.44/1.31 % (3533613)Refutation not found, incomplete strategy
% 1.44/1.31 % (3533613)------------------------------
% 1.44/1.31 % (3533613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.44/1.31 % (3533613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/1.31 % (3533613)CaDiCaL version: 2.1.3
% 1.44/1.31 % (3533613)Termination reason: Refutation not found, incomplete strategy
% 1.44/1.31 % (3533613)Time elapsed: 0.005 s
% 1.44/1.31 % (3533613)Peak memory usage: 88 MB
% 1.44/1.31 % (3533613)Instructions burned: 8 (million)
% 1.44/1.31 % (3533614)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=491372929:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.44/1.31 % (3533615)dis-21_1_sil=8000:lcm=predicate:random_seed=2346610746: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)
% 1.44/1.31 % (3533615)Refutation not found, incomplete strategy
% 1.44/1.31 % (3533615)------------------------------
% 1.44/1.31 % (3533615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.44/1.31 % (3533615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/1.31 % (3533615)CaDiCaL version: 2.1.3
% 1.44/1.31 % (3533615)Termination reason: Refutation not found, incomplete strategy
% 1.44/1.31 % (3533615)Time elapsed: 0.002 s
% 1.44/1.31 % (3533615)Peak memory usage: 88 MB
% 1.44/1.31 % (3533615)Instructions burned: 1 (million)
% 1.44/1.31 % (3533614)First to succeed.
% 1.44/1.31 % (3533614)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3533503"
% 1.44/1.31 % (3533612)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1478561884:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.44/1.31 % (3533612)Also succeeded, but the first one will report.
% 1.44/1.31 % (3533613)------------------------------
% 1.44/1.31 % (3533613)------------------------------
% 1.44/1.31 % (3533615)------------------------------
% 1.44/1.31 % (3533615)------------------------------
% 1.44/1.31 % (3533614)Refutation found. Thanks to Tanya!
% 1.44/1.31 % SZS status Theorem for theBenchmark
% 1.44/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 3.70/1.41 % (3533614)------------------------------
% 3.70/1.41 % (3533614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.70/1.41 % (3533614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.70/1.41 % (3533614)CaDiCaL version: 2.1.3
% 3.70/1.41 % (3533614)Termination reason: Refutation
% 3.70/1.41 % (3533614)Time elapsed: 0.005 s
% 3.70/1.41 % (3533614)Peak memory usage: 90 MB
% 3.70/1.41 % (3533614)Instructions burned: 4 (million)
% 3.70/1.41 % (3533614)------------------------------
% 3.70/1.41 % (3533614)------------------------------
% 3.70/1.41 % (3533503)Success in time 0.449 s
% 3.70/1.41 % Vampire exiting
%------------------------------------------------------------------------------