%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS170+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 : n013.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 11:42:26 AM UTC 2026
% Result : Theorem 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 12
% Syntax : Number of formulae : 101 ( 14 unt; 8 def)
% Number of atoms : 349 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 401 ( 153 ~; 205 |; 23 &)
% ( 13 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 9 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 45 ( 0 sgn 33 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).
fof(f3,axiom,
! [X0,X1] :
( rhasLeader(X0,X1)
<=> rhasHead(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0,X1] :
( rhasLeader(X0,X1)
=> rhasHead(X0,X1) )
& ! [X0,X1] :
( rhasHead(X0,X1)
=> rhasLeader(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f5,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0,X1] :
( rhasLeader(X0,X1)
=> rhasHead(X0,X1) )
& ! [X0,X1] :
( rhasHead(X0,X1)
=> rhasLeader(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2,X3] :
( rhasLeader(X2,X3)
=> rhasHead(X2,X3) )
& ! [X4,X5] :
( rhasHead(X4,X5)
=> rhasLeader(X4,X5) ) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2,X3] :
( ~ rhasHead(X2,X3)
& rhasLeader(X2,X3) )
| ? [X4,X5] :
( ~ rhasLeader(X4,X5)
& rhasHead(X4,X5) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f9,plain,
! [X0,X1] :
( ( rhasLeader(X0,X1)
| ~ rhasHead(X0,X1) )
& ( rhasHead(X0,X1)
| ~ rhasLeader(X0,X1) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f10,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ? [X2,X3] :
( ~ rhasHead(X2,X3)
& rhasLeader(X2,X3) )
| ? [X4,X5] :
( ~ rhasLeader(X4,X5)
& rhasHead(X4,X5) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f11,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) )
| ( ~ rhasHead(sK2,sK3)
& rhasLeader(sK2,sK3) )
| ( ~ rhasLeader(sK4,sK5)
& rhasHead(sK4,sK5) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f10]) ).
fof(f12,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f13,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f14,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f15,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f8]) ).
fof(f16,plain,
! [X0,X1] :
( ~ rhasLeader(X0,X1)
| rhasHead(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f17,plain,
! [X0,X1] :
( ~ rhasHead(X0,X1)
| rhasLeader(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f18,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| rhasLeader(sK2,sK3)
| rhasHead(sK4,sK5) ),
inference(cnf_transformation,[],[f11]) ).
fof(f19,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| rhasLeader(sK2,sK3)
| ~ rhasLeader(sK4,sK5) ),
inference(cnf_transformation,[],[f11]) ).
fof(f20,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ rhasHead(sK2,sK3)
| rhasHead(sK4,sK5) ),
inference(cnf_transformation,[],[f11]) ).
fof(f21,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ rhasHead(sK2,sK3)
| ~ rhasLeader(sK4,sK5) ),
inference(cnf_transformation,[],[f11]) ).
fof(f22,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| rhasLeader(sK2,sK3)
| rhasHead(sK4,sK5) ),
inference(cnf_transformation,[],[f11]) ).
fof(f23,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| rhasLeader(sK2,sK3)
| ~ rhasLeader(sK4,sK5) ),
inference(cnf_transformation,[],[f11]) ).
fof(f24,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ rhasHead(sK2,sK3)
| rhasHead(sK4,sK5) ),
inference(cnf_transformation,[],[f11]) ).
fof(f25,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ rhasHead(sK2,sK3)
| ~ rhasLeader(sK4,sK5) ),
inference(cnf_transformation,[],[f11]) ).
fof(f27,definition,
( spl6_1
<=> rhasHead(sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f29,plain,
( rhasHead(sK4,sK5)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f31,definition,
( spl6_2
<=> rhasLeader(sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f33,plain,
( rhasLeader(sK2,sK3)
| ~ spl6_2 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f35,definition,
( spl6_3
<=> xsd_string(sK1) ),
introduced(definition,[new_symbols(definition,[spl6_3])],[avatar_definition]) ).
fof(f36,plain,
( ~ xsd_string(sK1)
| spl6_3 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f37,plain,
( xsd_string(sK1)
| ~ spl6_3 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f39,definition,
( spl6_4
<=> xsd_integer(sK1) ),
introduced(definition,[new_symbols(definition,[spl6_4])],[avatar_definition]) ).
fof(f40,plain,
( xsd_integer(sK1)
| ~ spl6_4 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f41,plain,
( ~ xsd_integer(sK1)
| spl6_4 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f43,definition,
( spl6_5
<=> cowlNothing(sK0) ),
introduced(definition,[new_symbols(definition,[spl6_5])],[avatar_definition]) ).
fof(f45,plain,
( cowlNothing(sK0)
| ~ spl6_5 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f47,definition,
( spl6_6
<=> cowlThing(sK0) ),
introduced(definition,[new_symbols(definition,[spl6_6])],[avatar_definition]) ).
fof(f49,plain,
( ~ cowlThing(sK0)
| spl6_6 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f50,plain,
( spl6_1
| spl6_2
| spl6_3
| ~ spl6_4
| spl6_5
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f18,f47,f43,f39,f35,f31,f27]) ).
fof(f52,definition,
( spl6_7
<=> rhasLeader(sK4,sK5) ),
introduced(definition,[new_symbols(definition,[spl6_7])],[avatar_definition]) ).
fof(f54,plain,
( ~ rhasLeader(sK4,sK5)
| spl6_7 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f55,plain,
( ~ spl6_7
| spl6_2
| spl6_3
| ~ spl6_4
| spl6_5
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f19,f47,f43,f39,f35,f31,f52]) ).
fof(f57,definition,
( spl6_8
<=> rhasHead(sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl6_8])],[avatar_definition]) ).
fof(f59,plain,
( ~ rhasHead(sK2,sK3)
| spl6_8 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f60,plain,
( spl6_1
| ~ spl6_8
| spl6_3
| ~ spl6_4
| spl6_5
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f20,f47,f43,f39,f35,f57,f27]) ).
fof(f61,plain,
( ~ spl6_7
| ~ spl6_8
| spl6_3
| ~ spl6_4
| spl6_5
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f21,f47,f43,f39,f35,f57,f52]) ).
fof(f62,plain,
( spl6_1
| spl6_2
| ~ spl6_3
| spl6_4
| spl6_5
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f22,f47,f43,f39,f35,f31,f27]) ).
fof(f63,plain,
( ~ spl6_7
| spl6_2
| ~ spl6_3
| spl6_4
| spl6_5
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f23,f47,f43,f39,f35,f31,f52]) ).
fof(f64,plain,
( spl6_1
| ~ spl6_8
| ~ spl6_3
| spl6_4
| spl6_5
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f24,f47,f43,f39,f35,f57,f27]) ).
fof(f65,plain,
( ~ spl6_7
| ~ spl6_8
| ~ spl6_3
| spl6_4
| spl6_5
| ~ spl6_6 ),
inference(avatar_split_clause,[],[f25,f47,f43,f39,f35,f57,f52]) ).
fof(f66,plain,
( $false
| spl6_6 ),
inference(forward_subsumption_resolution,[],[f49,f13]) ).
fof(f67,plain,
spl6_6,
inference(avatar_contradiction_clause,[],[f66]) ).
fof(f68,plain,
( xsd_string(sK1)
| spl6_4 ),
inference(resolution,[],[f15,f41]) ).
fof(f70,plain,
( $false
| spl6_3
| spl6_4 ),
inference(forward_subsumption_resolution,[],[f68,f36]) ).
fof(f71,plain,
( spl6_3
| spl6_4 ),
inference(avatar_contradiction_clause,[],[f70]) ).
fof(f72,plain,
( $false
| ~ spl6_5 ),
inference(forward_subsumption_resolution,[],[f45,f12]) ).
fof(f73,plain,
~ spl6_5,
inference(avatar_contradiction_clause,[],[f72]) ).
fof(f74,plain,
( ~ xsd_string(sK1)
| ~ spl6_4 ),
inference(resolution,[],[f40,f14]) ).
fof(f75,plain,
( rhasLeader(sK4,sK5)
| ~ spl6_1 ),
inference(resolution,[],[f17,f29]) ).
fof(f76,plain,
( $false
| ~ spl6_1
| spl6_7 ),
inference(forward_subsumption_resolution,[],[f75,f54]) ).
fof(f77,plain,
( ~ spl6_1
| spl6_7 ),
inference(avatar_contradiction_clause,[],[f76]) ).
fof(f78,plain,
( rhasHead(sK2,sK3)
| ~ spl6_2 ),
inference(resolution,[],[f33,f16]) ).
fof(f79,plain,
( $false
| ~ spl6_2
| spl6_8 ),
inference(forward_subsumption_resolution,[],[f78,f59]) ).
fof(f80,plain,
( ~ spl6_2
| spl6_8 ),
inference(avatar_contradiction_clause,[],[f79]) ).
fof(f81,plain,
( $false
| ~ spl6_3
| ~ spl6_4 ),
inference(forward_subsumption_resolution,[],[f74,f37]) ).
fof(f82,plain,
( ~ spl6_3
| ~ spl6_4 ),
inference(avatar_contradiction_clause,[],[f81]) ).
cnf(s1,plain,
( spl6_1
| spl6_2
| spl6_3
| ~ spl6_4
| spl6_5
| ~ spl6_6 ),
inference(sat_conversion,[],[f50]) ).
cnf(s2,plain,
( spl6_2
| spl6_3
| ~ spl6_4
| spl6_5
| ~ spl6_6
| ~ spl6_7 ),
inference(sat_conversion,[],[f55]) ).
cnf(s3,plain,
( spl6_1
| spl6_3
| ~ spl6_4
| spl6_5
| ~ spl6_6
| ~ spl6_8 ),
inference(sat_conversion,[],[f60]) ).
cnf(s4,plain,
( spl6_3
| ~ spl6_4
| spl6_5
| ~ spl6_6
| ~ spl6_7
| ~ spl6_8 ),
inference(sat_conversion,[],[f61]) ).
cnf(s5,plain,
( spl6_1
| spl6_2
| ~ spl6_3
| spl6_4
| spl6_5
| ~ spl6_6 ),
inference(sat_conversion,[],[f62]) ).
cnf(s6,plain,
( spl6_2
| ~ spl6_3
| spl6_4
| spl6_5
| ~ spl6_6
| ~ spl6_7 ),
inference(sat_conversion,[],[f63]) ).
cnf(s7,plain,
( spl6_1
| ~ spl6_3
| spl6_4
| spl6_5
| ~ spl6_6
| ~ spl6_8 ),
inference(sat_conversion,[],[f64]) ).
cnf(s8,plain,
( ~ spl6_3
| spl6_4
| spl6_5
| ~ spl6_6
| ~ spl6_7
| ~ spl6_8 ),
inference(sat_conversion,[],[f65]) ).
cnf(s9,plain,
spl6_6,
inference(sat_conversion,[],[f67]) ).
cnf(s10,plain,
( spl6_3
| spl6_4 ),
inference(sat_conversion,[],[f71]) ).
cnf(s11,plain,
~ spl6_5,
inference(sat_conversion,[],[f73]) ).
cnf(s12,plain,
( ~ spl6_1
| spl6_7 ),
inference(sat_conversion,[],[f77]) ).
cnf(s13,plain,
( ~ spl6_2
| spl6_8 ),
inference(sat_conversion,[],[f80]) ).
cnf(s14,plain,
( ~ spl6_3
| ~ spl6_4 ),
inference(sat_conversion,[],[f82]) ).
cnf(s15,plain,
( ~ spl6_3
| spl6_4
| ~ spl6_7
| ~ spl6_8 ),
inference(rat,[],[s8,s9,s11]) ).
cnf(s16,plain,
( spl6_1
| ~ spl6_3
| spl6_4
| ~ spl6_8 ),
inference(rat,[],[s7,s9,s11]) ).
cnf(s17,plain,
( spl6_2
| ~ spl6_3
| spl6_4
| ~ spl6_7 ),
inference(rat,[],[s6,s9,s11]) ).
cnf(s18,plain,
( spl6_1
| spl6_2
| ~ spl6_3
| spl6_4 ),
inference(rat,[],[s5,s9,s11]) ).
cnf(s19,plain,
( spl6_3
| ~ spl6_4
| ~ spl6_7
| ~ spl6_8 ),
inference(rat,[],[s4,s9,s11]) ).
cnf(s20,plain,
( spl6_1
| spl6_3
| ~ spl6_4
| ~ spl6_8 ),
inference(rat,[],[s3,s9,s11]) ).
cnf(s21,plain,
( spl6_2
| spl6_3
| ~ spl6_4
| ~ spl6_7 ),
inference(rat,[],[s2,s9,s11]) ).
cnf(s22,plain,
( spl6_1
| spl6_2
| spl6_3
| ~ spl6_4 ),
inference(rat,[],[s1,s9,s11]) ).
cnf(s23,plain,
( spl6_3
| spl6_2
| spl6_1 ),
inference(rat,[],[s22,s10]) ).
cnf(s24,plain,
( spl6_2
| spl6_1 ),
inference(rat,[],[s18,s14,s23]) ).
cnf(s25,plain,
( spl6_3
| spl6_1 ),
inference(rat,[],[s20,s10,s13,s24]) ).
cnf(s26,plain,
spl6_1,
inference(rat,[],[s16,s14,s25,s13,s24]) ).
cnf(s27,plain,
spl6_7,
inference(rat,[],[s12,s26]) ).
cnf(s28,plain,
( ~ spl6_4
| spl6_3 ),
inference(rat,[],[s13,s19,s21,s27]) ).
cnf(s29,plain,
spl6_3,
inference(rat,[],[s28,s10]) ).
cnf(s30,plain,
~ spl6_4,
inference(rat,[],[s14,s29]) ).
cnf(s31,plain,
~ spl6_8,
inference(rat,[],[s15,s29,s27,s30]) ).
cnf(s32,plain,
spl6_2,
inference(rat,[],[s17,s27,s29,s30]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s13,s31,s32]) ).
fof(f83,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS170+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n013.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 13:33:06 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.45 % (233925)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (233935)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1223717611:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (233935) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-233925-233935"...
% 0.11/0.45 % (233935)...printing done.
% 0.11/0.45 % (233931)% WARNING: option uhcvi not known.
% 0.11/0.45 % (233935)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Theorem for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (233935)------------------------------
% 0.11/0.45 % (233935)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (233935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (233935)CaDiCaL version: 2.1.3
% 0.11/0.45 % (233935)Termination reason: Refutation
% 0.11/0.45 % (233935)Time elapsed: 0.002 s
% 0.11/0.45 % (233935)Peak memory usage: 12 MB
% 0.11/0.45 % (233935)Instructions burned: 2 (million)
% 0.11/0.45 % (233925)Success in time 0.03 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------