%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS165+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.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 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 96 ( 14 unt; 8 def)
% Number of atoms : 320 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 366 ( 142 ~; 189 |; 15 &)
% ( 13 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 15 ( 14 usr; 9 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 25 ( 0 sgn 21 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f2,axiom,
! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).
fof(f3,axiom,
! [X0] :
( cCar(X0)
<=> cAutomobile(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cAutomobile(X0)
=> cCar(X0) )
& ! [X0] :
( cCar(X0)
=> cAutomobile(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f5,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0] :
( cAutomobile(X0)
=> cCar(X0) )
& ! [X0] :
( cCar(X0)
=> cAutomobile(X0) ) ),
inference(negated_conjecture,[status(cth)],[f4]) ).
fof(f6,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2] :
( cAutomobile(X2)
=> cCar(X2) )
& ! [X3] :
( cCar(X3)
=> cAutomobile(X3) ) ),
inference(rectify,[],[f5]) ).
fof(f7,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2] :
( ~ cCar(X2)
& cAutomobile(X2) )
| ? [X3] :
( ~ cAutomobile(X3)
& cCar(X3) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f8,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f9,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f10,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f11,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f12,plain,
! [X0] :
( ~ cAutomobile(X0)
| cCar(X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f13,plain,
! [X0] :
( cAutomobile(X0)
| ~ cCar(X0) ),
inference(cnf_transformation,[],[f3]) ).
fof(f14,plain,
( ~ cAutomobile(sK0)
| cAutomobile(sK1)
| xsd_integer(sK2)
| ~ xsd_string(sK2)
| cowlNothing(sK3)
| ~ cowlThing(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f15,plain,
( ~ cAutomobile(sK0)
| cAutomobile(sK1)
| ~ xsd_integer(sK2)
| xsd_string(sK2)
| cowlNothing(sK3)
| ~ cowlThing(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f16,plain,
( ~ cAutomobile(sK0)
| ~ cCar(sK1)
| xsd_integer(sK2)
| ~ xsd_string(sK2)
| cowlNothing(sK3)
| ~ cowlThing(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f17,plain,
( ~ cAutomobile(sK0)
| ~ cCar(sK1)
| ~ xsd_integer(sK2)
| xsd_string(sK2)
| cowlNothing(sK3)
| ~ cowlThing(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f18,plain,
( cCar(sK0)
| cAutomobile(sK1)
| xsd_integer(sK2)
| ~ xsd_string(sK2)
| cowlNothing(sK3)
| ~ cowlThing(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f19,plain,
( cCar(sK0)
| cAutomobile(sK1)
| ~ xsd_integer(sK2)
| xsd_string(sK2)
| cowlNothing(sK3)
| ~ cowlThing(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f20,plain,
( cCar(sK0)
| ~ cCar(sK1)
| xsd_integer(sK2)
| ~ xsd_string(sK2)
| cowlNothing(sK3)
| ~ cowlThing(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f21,plain,
( cCar(sK0)
| ~ cCar(sK1)
| ~ xsd_integer(sK2)
| xsd_string(sK2)
| cowlNothing(sK3)
| ~ cowlThing(sK3) ),
inference(cnf_transformation,[],[f7]) ).
fof(f23,definition,
( spl4_1
<=> cowlThing(sK3) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f25,plain,
( ~ cowlThing(sK3)
| spl4_1 ),
inference(avatar_component_clause,[],[f23]) ).
fof(f27,definition,
( spl4_2
<=> cowlNothing(sK3) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f29,plain,
( cowlNothing(sK3)
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f31,definition,
( spl4_3
<=> xsd_string(sK2) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f32,plain,
( xsd_string(sK2)
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f33,plain,
( ~ xsd_string(sK2)
| spl4_3 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f35,definition,
( spl4_4
<=> xsd_integer(sK2) ),
introduced(definition,[new_symbols(definition,[spl4_4])],[avatar_definition]) ).
fof(f36,plain,
( ~ xsd_integer(sK2)
| spl4_4 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f37,plain,
( xsd_integer(sK2)
| ~ spl4_4 ),
inference(avatar_component_clause,[],[f35]) ).
fof(f39,definition,
( spl4_5
<=> cAutomobile(sK1) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f41,plain,
( cAutomobile(sK1)
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f39]) ).
fof(f43,definition,
( spl4_6
<=> cAutomobile(sK0) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f45,plain,
( ~ cAutomobile(sK0)
| spl4_6 ),
inference(avatar_component_clause,[],[f43]) ).
fof(f46,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_3
| spl4_4
| spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f14,f43,f39,f35,f31,f27,f23]) ).
fof(f47,plain,
( ~ spl4_1
| spl4_2
| spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f15,f43,f39,f35,f31,f27,f23]) ).
fof(f49,definition,
( spl4_7
<=> cCar(sK1) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f51,plain,
( ~ cCar(sK1)
| spl4_7 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f52,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_3
| spl4_4
| ~ spl4_7
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f16,f43,f49,f35,f31,f27,f23]) ).
fof(f53,plain,
( ~ spl4_1
| spl4_2
| spl4_3
| ~ spl4_4
| ~ spl4_7
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f17,f43,f49,f35,f31,f27,f23]) ).
fof(f55,definition,
( spl4_8
<=> cCar(sK0) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f57,plain,
( cCar(sK0)
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f58,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_3
| spl4_4
| spl4_5
| spl4_8 ),
inference(avatar_split_clause,[],[f18,f55,f39,f35,f31,f27,f23]) ).
fof(f59,plain,
( ~ spl4_1
| spl4_2
| spl4_3
| ~ spl4_4
| spl4_5
| spl4_8 ),
inference(avatar_split_clause,[],[f19,f55,f39,f35,f31,f27,f23]) ).
fof(f60,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_3
| spl4_4
| ~ spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f20,f55,f49,f35,f31,f27,f23]) ).
fof(f61,plain,
( ~ spl4_1
| spl4_2
| spl4_3
| ~ spl4_4
| ~ spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f21,f55,f49,f35,f31,f27,f23]) ).
fof(f62,plain,
( $false
| spl4_1 ),
inference(forward_subsumption_resolution,[],[f25,f9]) ).
fof(f63,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f62]) ).
fof(f64,plain,
( xsd_string(sK2)
| spl4_4 ),
inference(resolution,[],[f10,f36]) ).
fof(f65,plain,
( $false
| spl4_3
| spl4_4 ),
inference(forward_subsumption_resolution,[],[f64,f33]) ).
fof(f66,plain,
( spl4_3
| spl4_4 ),
inference(avatar_contradiction_clause,[],[f65]) ).
fof(f68,plain,
( ~ xsd_string(sK2)
| ~ spl4_4 ),
inference(resolution,[],[f11,f37]) ).
fof(f69,plain,
( cCar(sK1)
| ~ spl4_5 ),
inference(resolution,[],[f12,f41]) ).
fof(f70,plain,
( $false
| ~ spl4_5
| spl4_7 ),
inference(forward_subsumption_resolution,[],[f69,f51]) ).
fof(f71,plain,
( ~ spl4_5
| spl4_7 ),
inference(avatar_contradiction_clause,[],[f70]) ).
fof(f74,plain,
( ~ cCar(sK0)
| spl4_6 ),
inference(resolution,[],[f13,f45]) ).
fof(f75,plain,
( $false
| spl4_6
| ~ spl4_8 ),
inference(forward_subsumption_resolution,[],[f74,f57]) ).
fof(f76,plain,
( spl4_6
| ~ spl4_8 ),
inference(avatar_contradiction_clause,[],[f75]) ).
fof(f77,plain,
( $false
| ~ spl4_2 ),
inference(forward_subsumption_resolution,[],[f29,f8]) ).
fof(f78,plain,
~ spl4_2,
inference(avatar_contradiction_clause,[],[f77]) ).
fof(f79,plain,
( $false
| ~ spl4_3
| ~ spl4_4 ),
inference(forward_subsumption_resolution,[],[f68,f32]) ).
fof(f80,plain,
( ~ spl4_3
| ~ spl4_4 ),
inference(avatar_contradiction_clause,[],[f79]) ).
cnf(s1,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_3
| spl4_4
| spl4_5
| ~ spl4_6 ),
inference(sat_conversion,[],[f46]) ).
cnf(s2,plain,
( ~ spl4_1
| spl4_2
| spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_6 ),
inference(sat_conversion,[],[f47]) ).
cnf(s3,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_3
| spl4_4
| ~ spl4_6
| ~ spl4_7 ),
inference(sat_conversion,[],[f52]) ).
cnf(s4,plain,
( ~ spl4_1
| spl4_2
| spl4_3
| ~ spl4_4
| ~ spl4_6
| ~ spl4_7 ),
inference(sat_conversion,[],[f53]) ).
cnf(s5,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_3
| spl4_4
| spl4_5
| spl4_8 ),
inference(sat_conversion,[],[f58]) ).
cnf(s6,plain,
( ~ spl4_1
| spl4_2
| spl4_3
| ~ spl4_4
| spl4_5
| spl4_8 ),
inference(sat_conversion,[],[f59]) ).
cnf(s7,plain,
( ~ spl4_1
| spl4_2
| ~ spl4_3
| spl4_4
| ~ spl4_7
| spl4_8 ),
inference(sat_conversion,[],[f60]) ).
cnf(s8,plain,
( ~ spl4_1
| spl4_2
| spl4_3
| ~ spl4_4
| ~ spl4_7
| spl4_8 ),
inference(sat_conversion,[],[f61]) ).
cnf(s9,plain,
spl4_1,
inference(sat_conversion,[],[f63]) ).
cnf(s10,plain,
( spl4_3
| spl4_4 ),
inference(sat_conversion,[],[f66]) ).
cnf(s11,plain,
( ~ spl4_5
| spl4_7 ),
inference(sat_conversion,[],[f71]) ).
cnf(s12,plain,
( spl4_6
| ~ spl4_8 ),
inference(sat_conversion,[],[f76]) ).
cnf(s13,plain,
~ spl4_2,
inference(sat_conversion,[],[f78]) ).
cnf(s14,plain,
( ~ spl4_3
| ~ spl4_4 ),
inference(sat_conversion,[],[f80]) ).
cnf(s15,plain,
( spl4_3
| ~ spl4_4
| ~ spl4_7
| spl4_8 ),
inference(rat,[],[s8,s13,s9]) ).
cnf(s16,plain,
( ~ spl4_3
| spl4_4
| ~ spl4_7
| spl4_8 ),
inference(rat,[],[s7,s13,s9]) ).
cnf(s17,plain,
( spl4_3
| ~ spl4_4
| spl4_5
| spl4_8 ),
inference(rat,[],[s6,s13,s9]) ).
cnf(s18,plain,
( ~ spl4_3
| spl4_4
| spl4_5
| spl4_8 ),
inference(rat,[],[s5,s13,s9]) ).
cnf(s19,plain,
( spl4_3
| ~ spl4_4
| ~ spl4_6
| ~ spl4_7 ),
inference(rat,[],[s4,s13,s9]) ).
cnf(s20,plain,
( ~ spl4_3
| spl4_4
| ~ spl4_6
| ~ spl4_7 ),
inference(rat,[],[s3,s13,s9]) ).
cnf(s21,plain,
( spl4_3
| ~ spl4_4
| spl4_5
| ~ spl4_6 ),
inference(rat,[],[s2,s13,s9]) ).
cnf(s22,plain,
( ~ spl4_3
| spl4_4
| spl4_5
| ~ spl4_6 ),
inference(rat,[],[s1,s13,s9]) ).
cnf(s23,plain,
( spl4_5
| ~ spl4_4
| spl4_3 ),
inference(rat,[],[s12,s17,s21]) ).
cnf(s24,plain,
( ~ spl4_7
| ~ spl4_4
| spl4_3 ),
inference(rat,[],[s12,s19,s15]) ).
cnf(s25,plain,
( ~ spl4_4
| spl4_3 ),
inference(rat,[],[s24,s11,s23]) ).
cnf(s26,plain,
spl4_3,
inference(rat,[],[s25,s10]) ).
cnf(s27,plain,
~ spl4_4,
inference(rat,[],[s14,s26]) ).
cnf(s28,plain,
spl4_5,
inference(rat,[],[s12,s18,s22,s26,s27]) ).
cnf(s29,plain,
spl4_7,
inference(rat,[],[s11,s28]) ).
cnf(s30,plain,
spl4_8,
inference(rat,[],[s16,s27,s26,s29]) ).
cnf(s31,plain,
~ spl4_6,
inference(rat,[],[s20,s27,s26,s29]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s12,s30,s31]) ).
fof(f81,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS165+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n003.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 13:34:56 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.43 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
% 0.18/0.47 % (534476)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (534485)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=243486244:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47 % (534485) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-534476-534485"...
% 0.18/0.47 % (534482)% WARNING: option uhcvi not known.
% 0.18/0.47 % (534485)...printing done.
% 0.18/0.47 % (534485)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Theorem for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (534485)------------------------------
% 0.18/0.47 % (534485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (534485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (534485)CaDiCaL version: 2.1.3
% 0.18/0.47 % (534485)Termination reason: Refutation
% 0.18/0.47 % (534485)Time elapsed: 0.002 s
% 0.18/0.47 % (534485)Peak memory usage: 12 MB
% 0.18/0.47 % (534485)Instructions burned: 2 (million)
% 0.18/0.47 % (534476)Success in time 0.03 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------