%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS137+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 0.09s 0.43s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 13 unt; 0 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 156 ( 65 ~; 62 |; 23 &)
% ( 5 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 25 ( 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,axiom,
cowlThing(iauto),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
cAutomobile(iauto),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
cowlThing(icar),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
cCar(icar),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cCar(iauto)
& cowlThing(iauto)
& cowlThing(icar)
& cAutomobile(icar) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).
fof(f9,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& cCar(iauto)
& cowlThing(iauto)
& cowlThing(icar)
& cAutomobile(icar) ),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& cCar(iauto)
& cowlThing(iauto)
& cowlThing(icar)
& cAutomobile(icar) ),
inference(rectify,[],[f9]) ).
fof(f11,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ~ cCar(iauto)
| ~ cowlThing(iauto)
| ~ cowlThing(icar)
| ~ cAutomobile(icar) ),
inference(ennf_transformation,[],[f10]) ).
fof(f12,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f13,plain,
! [X0] :
( ( cCar(X0)
| ~ cAutomobile(X0) )
& ( cAutomobile(X0)
| ~ cCar(X0) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f14,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( ( xsd_integer(X1)
| ~ xsd_string(X1) )
& ( ~ xsd_integer(X1)
| xsd_string(X1) ) )
| ~ cCar(iauto)
| ~ cowlThing(iauto)
| ~ cowlThing(icar)
| ~ cAutomobile(icar) ),
inference(nnf_transformation,[],[f11]) ).
fof(f15,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) )
| ~ cCar(iauto)
| ~ cowlThing(iauto)
| ~ cowlThing(icar)
| ~ cAutomobile(icar) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f14]) ).
fof(f16,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f17,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f18,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f19,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f20,plain,
! [X0] :
( cAutomobile(X0)
| ~ cCar(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f21,plain,
! [X0] :
( cCar(X0)
| ~ cAutomobile(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f22,plain,
cowlThing(iauto),
inference(cnf_transformation,[],[f4]) ).
fof(f23,plain,
cAutomobile(iauto),
inference(cnf_transformation,[],[f5]) ).
fof(f24,plain,
cowlThing(icar),
inference(cnf_transformation,[],[f6]) ).
fof(f25,plain,
cCar(icar),
inference(cnf_transformation,[],[f7]) ).
fof(f26,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ cCar(iauto)
| ~ cowlThing(iauto)
| ~ cowlThing(icar)
| ~ cAutomobile(icar) ),
inference(cnf_transformation,[],[f15]) ).
fof(f27,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ cCar(iauto)
| ~ cowlThing(iauto)
| ~ cowlThing(icar)
| ~ cAutomobile(icar) ),
inference(cnf_transformation,[],[f15]) ).
fof(f28,plain,
! [X0] :
( ~ xsd_string(X0)
| xsd_integer(X0) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f29,plain,
! [X0] :
( ~ xsd_integer(X0)
| xsd_string(X0) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f30,plain,
! [X0] :
( ~ cCar(X0)
| cAutomobile(X0) ),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f31,plain,
! [X0] :
( ~ cAutomobile(X0)
| cCar(X0) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f32,plain,
~ cAutomobile(iauto),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f33,plain,
~ cCar(icar),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f34,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| xsd_string(sK1)
| cCar(iauto)
| ~ cowlThing(iauto)
| ~ cowlThing(icar)
| cAutomobile(icar) ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f35,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| ~ xsd_string(sK1)
| cCar(iauto)
| ~ cowlThing(iauto)
| ~ cowlThing(icar)
| cAutomobile(icar) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f70,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f17,f16,f28,f29,f30,f31,f22,f32,f24,f33,f34,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS137+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 13:28:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.39 Running first-order model finding
% 0.09/0.39 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
% 0.09/0.43 % (3528389)Will run a generic schedule for satisfiability detection.
% 0.09/0.43 % (3528394)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=338599502_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.43 % Detected minimum model sizes of [1]
% 0.09/0.43 % Detected maximum model sizes of [4]
% 0.09/0.43 % TRYING [1]
% 0.09/0.43 % TRYING [2]
% 0.09/0.43 % TRYING [3]
% 0.09/0.43 % TRYING [4]
% 0.09/0.43 % (3528394) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3528389-3528394"...
% 0.09/0.43 % (3528394)...printing done.
% 0.09/0.43 % (3528394)Refutation found. Thanks to Tanya!
% 0.09/0.43 % SZS status Theorem for theBenchmark
% 0.09/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.43 % (3528394)------------------------------
% 0.09/0.43 % (3528394)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.43 % (3528394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.43 % (3528394)CaDiCaL version: 2.1.3
% 0.09/0.43 % (3528394)Termination reason: Refutation
% 0.09/0.43 % (3528394)Time elapsed: 0.002 s
% 0.09/0.43 % (3528394)Peak memory usage: 11 MB
% 0.09/0.43 % (3528394)Instructions burned: 3 (million)
% 0.09/0.43 % (3528389)Success in time 0.025 s
% 0.09/0.43 % Vampire exiting
%------------------------------------------------------------------------------