%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS171+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 : n001.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 0.13s 0.43s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 3 unt; 0 def)
% Number of atoms : 127 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 154 ( 59 ~; 69 |; 15 &)
% ( 7 <=>; 2 =>; 0 <=; 2 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 45 ( 37 !; 8 ?)
% 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] :
( rhasHead(X0,X1)
=> rhasLeader(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0,X1] :
( rhasLeader(X0,X1)
=> rhasHead(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,conjecture,
( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0,X1] :
( rhasLeader(X0,X1)
<=> rhasHead(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).
fof(f6,negated_conjecture,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X0] :
( xsd_string(X0)
<=> ~ xsd_integer(X0) )
& ! [X0,X1] :
( rhasLeader(X0,X1)
<=> rhasHead(X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,plain,
~ ( ! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) )
& ! [X1] :
( xsd_string(X1)
<=> ~ xsd_integer(X1) )
& ! [X2,X3] :
( rhasLeader(X2,X3)
<=> rhasHead(X2,X3) ) ),
inference(rectify,[],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( rhasLeader(X0,X1)
| ~ rhasHead(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f9,plain,
! [X0,X1] :
( rhasHead(X0,X1)
| ~ rhasLeader(X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f10,plain,
( ? [X0] :
( ~ cowlThing(X0)
| cowlNothing(X0) )
| ? [X1] :
( xsd_string(X1)
<~> ~ xsd_integer(X1) )
| ? [X2,X3] :
( rhasLeader(X2,X3)
<~> rhasHead(X2,X3) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f11,plain,
! [X0] :
( ( xsd_string(X0)
| xsd_integer(X0) )
& ( ~ xsd_integer(X0)
| ~ xsd_string(X0) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f12,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) )
& ( rhasHead(X2,X3)
| rhasLeader(X2,X3) ) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f13,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ( ( xsd_integer(sK1)
| ~ xsd_string(sK1) )
& ( ~ xsd_integer(sK1)
| xsd_string(sK1) ) )
| ( ( ~ rhasHead(sK2,sK3)
| ~ rhasLeader(sK2,sK3) )
& ( rhasHead(sK2,sK3)
| rhasLeader(sK2,sK3) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f12]) ).
fof(f14,plain,
! [X0] : ~ cowlNothing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f15,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f16,plain,
! [X0] :
( ~ xsd_integer(X0)
| ~ xsd_string(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f17,plain,
! [X0] :
( xsd_string(X0)
| xsd_integer(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f18,plain,
! [X0,X1] :
( rhasLeader(X0,X1)
| ~ rhasHead(X0,X1) ),
inference(cnf_transformation,[],[f8]) ).
fof(f19,plain,
! [X0,X1] :
( rhasHead(X0,X1)
| ~ rhasLeader(X0,X1) ),
inference(cnf_transformation,[],[f9]) ).
fof(f20,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| rhasHead(sK2,sK3)
| rhasLeader(sK2,sK3) ),
inference(cnf_transformation,[],[f13]) ).
fof(f21,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ rhasHead(sK2,sK3)
| ~ rhasLeader(sK2,sK3) ),
inference(cnf_transformation,[],[f13]) ).
fof(f22,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| rhasHead(sK2,sK3)
| rhasLeader(sK2,sK3) ),
inference(cnf_transformation,[],[f13]) ).
fof(f23,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ rhasHead(sK2,sK3)
| ~ rhasLeader(sK2,sK3) ),
inference(cnf_transformation,[],[f13]) ).
fof(f24,plain,
! [X0] :
( ~ xsd_string(X0)
| ~ xsd_integer(X0) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f25,plain,
! [X0] :
( xsd_integer(X0)
| xsd_string(X0) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f26,plain,
! [X0,X1] :
( rhasLeader(X0,X1)
| rhasHead(X0,X1) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f27,plain,
! [X0,X1] :
( ~ rhasHead(X0,X1)
| ~ rhasLeader(X0,X1) ),
inference(consistent_polarity_flipping,[],[f19]) ).
fof(f28,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| rhasHead(sK2,sK3)
| ~ rhasLeader(sK2,sK3) ),
inference(consistent_polarity_flipping,[],[f23]) ).
fof(f29,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| ~ xsd_integer(sK1)
| xsd_string(sK1)
| ~ rhasHead(sK2,sK3)
| rhasLeader(sK2,sK3) ),
inference(consistent_polarity_flipping,[],[f22]) ).
fof(f30,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| rhasHead(sK2,sK3)
| ~ rhasLeader(sK2,sK3) ),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f31,plain,
( ~ cowlThing(sK0)
| cowlNothing(sK0)
| xsd_integer(sK1)
| ~ xsd_string(sK1)
| ~ rhasHead(sK2,sK3)
| rhasLeader(sK2,sK3) ),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f84,plain,
$false,
inference(finite_model_not_found_(exhaustively_excluded_all_possible_domain_size_assignments),[],[f15,f14,f24,f25,f26,f27,f28,f29,f30,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS171+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.36 % Computer : n001.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
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Sun Sep 27 13:39:15 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 Running first-order model finding
% 0.13/0.39 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
% 0.13/0.43 % (3577019)Will run a generic schedule for satisfiability detection.
% 0.13/0.43 % (3577024)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2685303935_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.43 % Detected minimum model sizes of [1]
% 0.13/0.43 % Detected maximum model sizes of [4]
% 0.13/0.43 % TRYING [1]
% 0.13/0.43 % (3577024) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3577019-3577024"...
% 0.13/0.43 % (3577024)...printing done.
% 0.13/0.43 % (3577024)Refutation found. Thanks to Tanya!
% 0.13/0.43 % SZS status Theorem for theBenchmark
% 0.13/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.43 % (3577024)------------------------------
% 0.13/0.43 % (3577024)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.43 % (3577024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.43 % (3577024)CaDiCaL version: 2.1.3
% 0.13/0.43 % (3577024)Termination reason: Refutation
% 0.13/0.43 % (3577024)Time elapsed: 0.001 s
% 0.13/0.43 % (3577024)Peak memory usage: 11 MB
% 0.13/0.43 % (3577024)Instructions burned: 3 (million)
% 0.13/0.43 % (3577019)Success in time 0.026 s
% 0.13/0.43 % Vampire exiting
%------------------------------------------------------------------------------