%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS175+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 11:42:27 AM UTC 2026
% Result : Theorem 0.16s 0.47s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 18
% Syntax : Number of formulae : 130 ( 26 unt; 10 def)
% Number of atoms : 488 ( 53 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 617 ( 259 ~; 304 |; 32 &)
% ( 20 <=>; 0 =>; 0 <=; 2 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 11 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/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f9,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f10,axiom,
! [X0] :
( cA(X0)
<=> X0 = ia ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f11,axiom,
! [X0] :
( cA_and_B(X0)
<=> ( cA(X0)
| cB(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f12,axiom,
! [X0] :
( cB(X0)
<=> X0 = ib ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f13,axiom,
cowlThing(ia),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f14,axiom,
cowlThing(ib),
file('/export/starexec/sandbox2/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/sandbox2/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_string(X0)
| xsd_integer(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] :
( ~ cB(X0)
| cA_and_B(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,plain,
! [X0] : cowlNothing(X0),
inference(consistent_polarity_flipping,[],[f48]) ).
fof(f78,plain,
( ~ cowlThing(sK0)
| ~ cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ib != sK2
| ~ cA_and_B(sK2)
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(consistent_polarity_flipping,[],[f66]) ).
fof(f79,plain,
( ~ cowlThing(sK0)
| ~ cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ia != sK2
| ~ cA_and_B(sK2)
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(consistent_polarity_flipping,[],[f65]) ).
fof(f80,plain,
( ~ cowlThing(sK0)
| ~ cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ib = sK2
| ia = sK2
| cA_and_B(sK2)
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(consistent_polarity_flipping,[],[f64]) ).
fof(f81,plain,
( ~ cowlThing(sK0)
| ~ cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ib != sK2
| ~ cA_and_B(sK2)
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(consistent_polarity_flipping,[],[f63]) ).
fof(f82,plain,
( ~ cowlThing(sK0)
| ~ cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ia != sK2
| ~ cA_and_B(sK2)
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(consistent_polarity_flipping,[],[f62]) ).
fof(f83,plain,
( ~ cowlThing(sK0)
| ~ cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ib = sK2
| ia = sK2
| cA_and_B(sK2)
| ~ cowlThing(ia)
| ~ cowlThing(ib) ),
inference(consistent_polarity_flipping,[],[f61]) ).
fof(f85,definition,
( spl3_1
<=> cowlThing(ib) ),
introduced(definition,[new_symbols(definition,[spl3_1])],[avatar_definition]) ).
fof(f89,definition,
( spl3_2
<=> cowlThing(ia) ),
introduced(definition,[new_symbols(definition,[spl3_2])],[avatar_definition]) ).
fof(f93,definition,
( spl3_3
<=> cA_and_B(sK2) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f94,plain,
( ~ cA_and_B(sK2)
| spl3_3 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f95,plain,
( cA_and_B(sK2)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f93]) ).
fof(f97,definition,
( spl3_4
<=> ia = sK2 ),
introduced(definition,[new_symbols(definition,[spl3_4])],[avatar_definition]) ).
fof(f99,plain,
( ia = sK2
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f101,definition,
( spl3_5
<=> ib = sK2 ),
introduced(definition,[new_symbols(definition,[spl3_5])],[avatar_definition]) ).
fof(f103,plain,
( ib = sK2
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f105,definition,
( spl3_6
<=> xsd_string(sK1) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f106,plain,
( ~ xsd_string(sK1)
| spl3_6 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f107,plain,
( xsd_string(sK1)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f109,definition,
( spl3_7
<=> xsd_integer(sK1) ),
introduced(definition,[new_symbols(definition,[spl3_7])],[avatar_definition]) ).
fof(f113,definition,
( spl3_8
<=> cowlNothing(sK0) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f115,plain,
( ~ cowlNothing(sK0)
| spl3_8 ),
inference(avatar_component_clause,[],[f113]) ).
fof(f117,definition,
( spl3_9
<=> cowlThing(sK0) ),
introduced(definition,[new_symbols(definition,[spl3_9])],[avatar_definition]) ).
fof(f119,plain,
( ~ cowlThing(sK0)
| spl3_9 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f120,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_3
| spl3_4
| spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f83,f117,f113,f109,f105,f101,f97,f93,f89,f85]) ).
fof(f121,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| spl3_6
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f82,f117,f113,f109,f105,f97,f93,f89,f85]) ).
fof(f122,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f81,f117,f113,f109,f105,f101,f93,f89,f85]) ).
fof(f123,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_3
| spl3_4
| spl3_5
| ~ spl3_6
| spl3_7
| ~ spl3_8
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f80,f117,f113,f109,f105,f101,f97,f93,f89,f85]) ).
fof(f124,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| spl3_7
| ~ spl3_8
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f79,f117,f113,f109,f105,f97,f93,f89,f85]) ).
fof(f125,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| spl3_7
| ~ spl3_8
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f78,f117,f113,f109,f105,f101,f93,f89,f85]) ).
fof(f126,plain,
spl3_1,
inference(avatar_split_clause,[],[f60,f85]) ).
fof(f127,plain,
spl3_2,
inference(avatar_split_clause,[],[f59,f89]) ).
fof(f128,plain,
( $false
| spl3_9 ),
inference(resolution,[],[f49,f119]) ).
fof(f129,plain,
spl3_9,
inference(avatar_contradiction_clause,[],[f128]) ).
fof(f130,plain,
( $false
| spl3_8 ),
inference(resolution,[],[f77,f115]) ).
fof(f131,plain,
spl3_8,
inference(avatar_contradiction_clause,[],[f130]) ).
fof(f132,plain,
( xsd_integer(sK1)
| spl3_6 ),
inference(resolution,[],[f51,f106]) ).
fof(f134,plain,
( spl3_7
| spl3_6 ),
inference(avatar_split_clause,[],[f132,f105,f109]) ).
fof(f135,plain,
cA_and_B(ib),
inference(resolution,[],[f55,f75]) ).
fof(f138,plain,
! [X0] :
( ~ cA_and_B(X0)
| cA(X0)
| ib = X0 ),
inference(resolution,[],[f54,f57]) ).
fof(f140,plain,
( cA(sK2)
| ib = sK2
| ~ spl3_3 ),
inference(resolution,[],[f138,f95]) ).
fof(f144,definition,
( spl3_10
<=> cA(sK2) ),
introduced(definition,[new_symbols(definition,[spl3_10])],[avatar_definition]) ).
fof(f145,plain,
( ~ cA(sK2)
| spl3_10 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f146,plain,
( cA(sK2)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f147,plain,
( spl3_5
| spl3_10
| ~ spl3_3 ),
inference(avatar_split_clause,[],[f140,f93,f144,f101]) ).
fof(f148,plain,
( ~ xsd_integer(sK1)
| ~ spl3_6 ),
inference(resolution,[],[f107,f50]) ).
fof(f149,plain,
( ~ spl3_7
| ~ spl3_6 ),
inference(avatar_split_clause,[],[f148,f105,f109]) ).
fof(f151,plain,
( ia = sK2
| ~ spl3_10 ),
inference(resolution,[],[f146,f52]) ).
fof(f152,plain,
( spl3_4
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f151,f144,f97]) ).
fof(f153,plain,
( ~ cA(sK2)
| spl3_3 ),
inference(resolution,[],[f94,f56]) ).
fof(f154,plain,
( ~ spl3_10
| spl3_3 ),
inference(avatar_split_clause,[],[f153,f93,f144]) ).
fof(f156,plain,
( ~ cA(ia)
| ~ spl3_4
| spl3_10 ),
inference(superposition,[],[f145,f99]) ).
fof(f160,plain,
( $false
| ~ spl3_4
| spl3_10 ),
inference(resolution,[],[f156,f74]) ).
fof(f161,plain,
( ~ spl3_4
| spl3_10 ),
inference(avatar_contradiction_clause,[],[f160]) ).
fof(f164,plain,
( ~ cA_and_B(ib)
| spl3_3
| ~ spl3_5 ),
inference(superposition,[],[f94,f103]) ).
fof(f165,plain,
( $false
| spl3_3
| ~ spl3_5 ),
inference(resolution,[],[f164,f135]) ).
fof(f167,plain,
( spl3_3
| ~ spl3_5 ),
inference(avatar_contradiction_clause,[],[f165]) ).
cnf(s1,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_3
| spl3_4
| spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9 ),
inference(sat_conversion,[],[f120]) ).
cnf(s2,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| spl3_6
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9 ),
inference(sat_conversion,[],[f121]) ).
cnf(s3,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| spl3_6
| ~ spl3_7
| ~ spl3_8
| ~ spl3_9 ),
inference(sat_conversion,[],[f122]) ).
cnf(s4,plain,
( ~ spl3_1
| ~ spl3_2
| spl3_3
| spl3_4
| spl3_5
| ~ spl3_6
| spl3_7
| ~ spl3_8
| ~ spl3_9 ),
inference(sat_conversion,[],[f123]) ).
cnf(s5,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| spl3_7
| ~ spl3_8
| ~ spl3_9 ),
inference(sat_conversion,[],[f124]) ).
cnf(s6,plain,
( ~ spl3_1
| ~ spl3_2
| ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| spl3_7
| ~ spl3_8
| ~ spl3_9 ),
inference(sat_conversion,[],[f125]) ).
cnf(s7,plain,
spl3_1,
inference(sat_conversion,[],[f126]) ).
cnf(s8,plain,
spl3_2,
inference(sat_conversion,[],[f127]) ).
cnf(s9,plain,
spl3_9,
inference(sat_conversion,[],[f129]) ).
cnf(s10,plain,
spl3_8,
inference(sat_conversion,[],[f131]) ).
cnf(s11,plain,
( spl3_6
| spl3_7 ),
inference(sat_conversion,[],[f134]) ).
cnf(s12,plain,
( ~ spl3_3
| spl3_5
| spl3_10 ),
inference(sat_conversion,[],[f147]) ).
cnf(s13,plain,
( ~ spl3_6
| ~ spl3_7 ),
inference(sat_conversion,[],[f149]) ).
cnf(s14,plain,
( spl3_4
| ~ spl3_10 ),
inference(sat_conversion,[],[f152]) ).
cnf(s16,plain,
( spl3_3
| ~ spl3_10 ),
inference(sat_conversion,[],[f154]) ).
cnf(s17,plain,
( ~ spl3_4
| spl3_10 ),
inference(sat_conversion,[],[f161]) ).
cnf(s18,plain,
( spl3_3
| ~ spl3_5 ),
inference(sat_conversion,[],[f167]) ).
cnf(s19,plain,
( ~ spl3_3
| ~ spl3_5
| ~ spl3_6
| spl3_7 ),
inference(rat,[],[s6,s9,s10,s8,s7]) ).
cnf(s20,plain,
( ~ spl3_3
| ~ spl3_4
| ~ spl3_6
| spl3_7 ),
inference(rat,[],[s5,s9,s10,s8,s7]) ).
cnf(s21,plain,
( spl3_3
| spl3_4
| spl3_5
| ~ spl3_6
| spl3_7 ),
inference(rat,[],[s4,s9,s10,s8,s7]) ).
cnf(s22,plain,
( ~ spl3_3
| ~ spl3_5
| spl3_6
| ~ spl3_7 ),
inference(rat,[],[s3,s9,s10,s8,s7]) ).
cnf(s23,plain,
( ~ spl3_3
| ~ spl3_4
| spl3_6
| ~ spl3_7 ),
inference(rat,[],[s2,s9,s10,s8,s7]) ).
cnf(s24,plain,
( spl3_3
| spl3_4
| spl3_5
| spl3_6
| ~ spl3_7 ),
inference(rat,[],[s1,s9,s10,s8,s7]) ).
cnf(s25,plain,
( spl3_6
| spl3_3 ),
inference(rat,[],[s24,s11,s18,s17,s16]) ).
cnf(s26,plain,
spl3_3,
inference(rat,[],[s21,s13,s25,s17,s16,s18]) ).
cnf(s27,plain,
( spl3_6
| ~ spl3_5 ),
inference(rat,[],[s22,s11,s26]) ).
cnf(s28,plain,
~ spl3_5,
inference(rat,[],[s19,s13,s27,s26]) ).
cnf(s29,plain,
spl3_10,
inference(rat,[],[s12,s26,s28]) ).
cnf(s30,plain,
spl3_4,
inference(rat,[],[s14,s29]) ).
cnf(s31,plain,
spl3_6,
inference(rat,[],[s23,s11,s26,s30]) ).
cnf(s32,plain,
~ spl3_7,
inference(rat,[],[s13,s31]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s20,s30,s26,s32,s31]) ).
fof(f168,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS175+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39 % Computer : n002.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Sun Sep 27 13:36:37 UTC 2026
% 0.16/0.39 % CPUTime :
% 0.16/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.43 Running first-order model finding
% 0.16/0.43 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
% 0.16/0.47 % (3533631)Will run a generic schedule for satisfiability detection.
% 0.16/0.47 % (3533642)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2414147098:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.47 % (3533642) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3533631-3533642"...
% 0.16/0.47 % (3533637)% WARNING: option uhcvi not known.
% 0.16/0.47 % (3533642)...printing done.
% 0.16/0.47 % (3533642)Refutation found. Thanks to Tanya!
% 0.16/0.47 % SZS status Theorem for theBenchmark
% 0.16/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.47 % (3533642)------------------------------
% 0.16/0.47 % (3533642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.47 % (3533642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.47 % (3533642)CaDiCaL version: 2.1.3
% 0.16/0.47 % (3533642)Termination reason: Refutation
% 0.16/0.47 % (3533642)Time elapsed: 0.004 s
% 0.16/0.47 % (3533642)Peak memory usage: 12 MB
% 0.16/0.47 % (3533642)Instructions burned: 4 (million)
% 0.16/0.47 % (3533631)Success in time 0.03 s
% 0.16/0.47 % Vampire exiting
%------------------------------------------------------------------------------