%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS093+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 : n014.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 11:42:15 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.43s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 4 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 39 ( 19 ~; 12 |; 3 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cf(X0)
& ce3(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cc(X0)
=> ~ cd(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f7,axiom,
! [X0] :
( ce3(X0)
=> cc(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
! [X0] :
( cf(X0)
=> cd(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
cUnsatisfiable(i2003_11_14_17_20_07201),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f10,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ( cf(X0)
& ce3(X0) ) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f15,plain,
! [X0] :
( ( cf(X0)
& ce3(X0) )
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f16,plain,
! [X0] :
( ~ cd(X0)
| ~ cc(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f17,plain,
! [X0] :
( cc(X0)
| ~ ce3(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f18,plain,
! [X0] :
( cd(X0)
| ~ cf(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f19,plain,
! [X0] :
( ce3(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f20,plain,
! [X0] :
( cf(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f15]) ).
fof(f21,plain,
! [X0] :
( ~ cd(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f16]) ).
fof(f22,plain,
! [X0] :
( cc(X0)
| ~ ce3(X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f23,plain,
! [X0] :
( cd(X0)
| ~ cf(X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f24,plain,
cUnsatisfiable(i2003_11_14_17_20_07201),
inference(cnf_transformation,[],[f9]) ).
fof(f25,plain,
! [X0] :
( ~ cc(X0)
| ~ cf(X0) ),
inference(resolution,[],[f23,f21]) ).
fof(f26,plain,
! [X0] :
( ~ ce3(X0)
| ~ cf(X0) ),
inference(resolution,[],[f25,f22]) ).
fof(f27,plain,
! [X0] :
( ~ cf(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f26,f19]) ).
fof(f28,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(forward_subsumption_resolution,[],[f27,f20]) ).
fof(f29,plain,
$false,
inference(resolution,[],[f28,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS093+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 13:23:16 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 Running first-order model finding
% 0.10/0.40 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
% 0.10/0.43 % (818158)Will run a generic schedule for satisfiability detection.
% 0.10/0.43 % (818167)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1718045486:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.43 % (818167) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-818158-818167"...
% 0.10/0.43 % (818167)...printing done.
% 0.10/0.43 % (818167)Refutation found. Thanks to Tanya!
% 0.10/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.43 % (818167)------------------------------
% 0.10/0.43 % (818167)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.43 % (818167)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.43 % (818167)CaDiCaL version: 2.1.3
% 0.10/0.43 % (818167)Termination reason: Refutation
% 0.10/0.43 % (818167)Time elapsed: 0.001 s
% 0.10/0.43 % (818167)Peak memory usage: 11 MB
% 0.10/0.43 % (818158)Success in time 0.025 s
% 0.10/0.43 % Vampire exiting
%------------------------------------------------------------------------------