%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS139+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 : n004.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 11:42:22 AM UTC 2026
% Result : Theorem 0.17s 5.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 69 ( 23 unt; 7 def)
% Number of atoms : 175 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 184 ( 78 ~; 77 |; 16 &)
% ( 11 <=>; 1 =>; 0 <=; 1 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 8 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 24 ( 0 sgn 22 !; 2 ?)
% 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,X1] :
( rpath(X0,X1)
=> rpath(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
cowlThing(iAntwerp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
cowlThing(iGhent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
rpath(iGhent,iAntwerp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cowlThing(iAntwerp)
& rpath(iAntwerp,iGhent)
& cowlThing(iGhent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f8,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cowlThing(iAntwerp)
& rpath(iAntwerp,iGhent)
& cowlThing(iGhent) ),
inference(negated_conjecture,[status(cth)],[f7]) ).
fof(f9,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cowlThing(iAntwerp)
& rpath(iAntwerp,iGhent)
& cowlThing(iGhent) ),
inference(rectify,[],[f8]) ).
fof(f10,plain,
! [X0,X1] :
( rpath(X1,X0)
| ~ rpath(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f11,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cowlThing(iAntwerp)
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iGhent) ),
inference(ennf_transformation,[],[f9]) ).
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,[],[f2]) ).
fof(f15,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f16,plain,
! [X0,X1] :
( ~ rpath(X0,X1)
| rpath(X1,X0) ),
inference(cnf_transformation,[],[f10]) ).
fof(f17,plain,
cowlThing(iAntwerp),
inference(cnf_transformation,[],[f4]) ).
fof(f18,plain,
cowlThing(iGhent),
inference(cnf_transformation,[],[f5]) ).
fof(f19,plain,
rpath(iGhent,iAntwerp),
inference(cnf_transformation,[],[f6]) ).
fof(f20,plain,
( ~ cowlThing(iGhent)
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f21,plain,
( ~ cowlThing(iGhent)
| ~ rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| ~ xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(cnf_transformation,[],[f11]) ).
fof(f22,plain,
! [X0] :
( ~ xsd_string(X0)
| xsd_integer(X0) ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f23,plain,
! [X0] :
( ~ xsd_integer(X0)
| xsd_string(X0) ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f24,plain,
! [X0,X1] :
( ~ rpath(X1,X0)
| rpath(X0,X1) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f25,plain,
~ rpath(iGhent,iAntwerp),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f26,plain,
( ~ cowlThing(iGhent)
| rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| xsd_integer(sK0)
| xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f27,plain,
( ~ cowlThing(iGhent)
| rpath(iAntwerp,iGhent)
| ~ cowlThing(iAntwerp)
| ~ xsd_integer(sK0)
| ~ xsd_string(sK0)
| cowlNothing(sK1)
| ~ cowlThing(sK1) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f29,definition,
( spl2_1
<=> cowlThing(sK1) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f31,plain,
( ~ cowlThing(sK1)
| spl2_1 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f33,definition,
( spl2_2
<=> cowlNothing(sK1) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f35,plain,
( cowlNothing(sK1)
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f33]) ).
fof(f37,definition,
( spl2_3
<=> xsd_string(sK0) ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f38,plain,
( xsd_string(sK0)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f41,definition,
( spl2_4
<=> xsd_integer(sK0) ),
introduced(definition,[new_symbols(definition,[spl2_4])],[avatar_definition]) ).
fof(f42,plain,
( xsd_integer(sK0)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f45,definition,
( spl2_5
<=> cowlThing(iAntwerp) ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f49,definition,
( spl2_6
<=> rpath(iAntwerp,iGhent) ),
introduced(definition,[new_symbols(definition,[spl2_6])],[avatar_definition]) ).
fof(f51,plain,
( rpath(iAntwerp,iGhent)
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f53,definition,
( spl2_7
<=> cowlThing(iGhent) ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f56,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5
| spl2_6
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f27,f53,f49,f45,f41,f37,f33,f29]) ).
fof(f57,plain,
( ~ spl2_1
| spl2_2
| spl2_3
| spl2_4
| ~ spl2_5
| spl2_6
| ~ spl2_7 ),
inference(avatar_split_clause,[],[f26,f53,f49,f45,f41,f37,f33,f29]) ).
fof(f58,plain,
spl2_7,
inference(avatar_split_clause,[],[f18,f53]) ).
fof(f59,plain,
spl2_5,
inference(avatar_split_clause,[],[f17,f45]) ).
fof(f60,plain,
( $false
| spl2_1 ),
inference(backward_subsumption_resolution,[],[f31,f13]) ).
fof(f61,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f60]) ).
fof(f62,plain,
( xsd_integer(sK0)
| ~ spl2_3 ),
inference(resolution,[],[f22,f38]) ).
fof(f65,plain,
( spl2_4
| ~ spl2_3 ),
inference(avatar_split_clause,[],[f62,f37,f41]) ).
fof(f66,plain,
( xsd_string(sK0)
| ~ spl2_4 ),
inference(resolution,[],[f23,f42]) ).
fof(f67,plain,
( rpath(iGhent,iAntwerp)
| ~ spl2_6 ),
inference(resolution,[],[f24,f51]) ).
fof(f68,plain,
( $false
| ~ spl2_6 ),
inference(forward_subsumption_resolution,[],[f67,f25]) ).
fof(f69,plain,
~ spl2_6,
inference(avatar_contradiction_clause,[],[f68]) ).
fof(f70,plain,
( $false
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f35,f12]) ).
fof(f71,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f70]) ).
fof(f72,plain,
( spl2_3
| ~ spl2_4 ),
inference(avatar_split_clause,[],[f66,f41,f37]) ).
cnf(s1,plain,
( ~ spl2_1
| spl2_2
| ~ spl2_3
| ~ spl2_4
| ~ spl2_5
| spl2_6
| ~ spl2_7 ),
inference(sat_conversion,[],[f56]) ).
cnf(s2,plain,
( ~ spl2_1
| spl2_2
| spl2_3
| spl2_4
| ~ spl2_5
| spl2_6
| ~ spl2_7 ),
inference(sat_conversion,[],[f57]) ).
cnf(s3,plain,
spl2_7,
inference(sat_conversion,[],[f58]) ).
cnf(s4,plain,
spl2_5,
inference(sat_conversion,[],[f59]) ).
cnf(s5,plain,
spl2_1,
inference(sat_conversion,[],[f61]) ).
cnf(s7,plain,
( ~ spl2_3
| spl2_4 ),
inference(sat_conversion,[],[f65]) ).
cnf(s8,plain,
~ spl2_6,
inference(sat_conversion,[],[f69]) ).
cnf(s9,plain,
~ spl2_2,
inference(sat_conversion,[],[f71]) ).
cnf(s10,plain,
( spl2_3
| ~ spl2_4 ),
inference(sat_conversion,[],[f72]) ).
cnf(s11,plain,
( spl2_3
| spl2_4 ),
inference(rat,[],[s2,s3,s8,s4,s9,s5]) ).
cnf(s12,plain,
( ~ spl2_3
| ~ spl2_4 ),
inference(rat,[],[s1,s3,s8,s4,s9,s5]) ).
cnf(s13,plain,
spl2_3,
inference(rat,[],[s11,s10]) ).
cnf(s14,plain,
spl2_4,
inference(rat,[],[s7,s13]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s12,s14,s13]) ).
fof(f73,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS139+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/5.39 % Computer : n004.cluster.edu
% 0.12/5.39 % Model : x86_64 x86_64
% 0.12/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.39 % Memory : 8046.5625MB
% 0.12/5.39 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Sun Sep 27 13:28:30 UTC 2026
% 0.12/5.40 % CPUTime :
% 0.12/5.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.17/5.43 Running first-order model finding
% 0.17/5.43 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
% 0.17/5.47 % (3527997)Will run a generic schedule for satisfiability detection.
% 0.17/5.47 % (3528003)% WARNING: option uhcvi not known.
% 0.17/5.47 % (3528003)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=130455717:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/5.47 % (3528003) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3527997-3528003"...
% 0.17/5.47 % (3528003)...printing done.
% 0.17/5.47 % (3528003)Refutation found. Thanks to Tanya!
% 0.17/5.47 % SZS status Theorem for theBenchmark
% 0.17/5.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/5.47 % (3528003)------------------------------
% 0.17/5.47 % (3528003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/5.47 % (3528003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/5.47 % (3528003)CaDiCaL version: 2.1.3
% 0.17/5.47 % (3528003)Termination reason: Refutation
% 0.17/5.47 % (3528003)Time elapsed: 0.001 s
% 0.17/5.47 % (3528003)Peak memory usage: 12 MB
% 0.17/5.47 % (3528003)Instructions burned: 1 (million)
% 0.17/5.47 % (3527997)Success in time 0.035 s
% 0.17/5.47 % Vampire exiting
%------------------------------------------------------------------------------