%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS067+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 : n011.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 11:42:12 AM UTC 2026
% Result : Unsatisfiable 0.15s 5.45s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 4 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 71 ( 26 ~; 28 |; 13 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 19 ( 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ( cc(X0)
& cb(X0) )
| ( cb(X0)
& ca(X0) )
| ( cc(X0)
& ca(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( ca(X0)
=> ~ ( cc(X0)
| cb(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] :
( cb(X0)
=> ~ cc(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
cUnsatisfiable(i2003_11_14_17_18_1956),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ( ( cc(X0)
& cb(X0) )
| ( cb(X0)
& ca(X0) )
| ( cc(X0)
& ca(X0) ) ) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f10,plain,
! [X0] :
( ( cc(X0)
& cb(X0) )
| ( cb(X0)
& ca(X0) )
| ( cc(X0)
& ca(X0) )
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f11,plain,
! [X0] :
( ( cc(X0)
& cb(X0) )
| ( cb(X0)
& ca(X0) )
| ( cc(X0)
& ca(X0) )
| ~ cUnsatisfiable(X0) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
! [X0] :
( ( ~ cc(X0)
& ~ cb(X0) )
| ~ ca(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f13,plain,
! [X0] :
( ~ cc(X0)
| ~ cb(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f14,plain,
! [X0] :
( ca(X0)
| ~ cUnsatisfiable(X0)
| cb(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f17,plain,
! [X0] :
( ca(X0)
| ~ cUnsatisfiable(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f18,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cc(X0)
| cb(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f22,plain,
! [X0] :
( ~ ca(X0)
| ~ cb(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f23,plain,
! [X0] :
( ~ ca(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f24,plain,
! [X0] :
( ~ cb(X0)
| ~ cc(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f25,plain,
cUnsatisfiable(i2003_11_14_17_18_1956),
inference(cnf_transformation,[],[f6]) ).
fof(f26,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cb(X0)
| ~ cc(X0) ),
inference(resolution,[],[f14,f23]) ).
fof(f28,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cc(X0) ),
inference(forward_subsumption_resolution,[],[f26,f24]) ).
fof(f30,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cc(X0)
| ~ cb(X0) ),
inference(resolution,[],[f17,f22]) ).
fof(f31,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cc(X0) ),
inference(forward_subsumption_resolution,[],[f30,f18]) ).
fof(f32,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(forward_subsumption_resolution,[],[f31,f28]) ).
fof(f33,plain,
$false,
inference(resolution,[],[f32,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS067+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/5.37 % Computer : n011.cluster.edu
% 0.12/5.37 % Model : x86_64 x86_64
% 0.12/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.37 % Memory : 8046.5625MB
% 0.12/5.37 % OS : Linux 6.8.0-71-generic
% 0.12/5.37 % CPULimit : 300
% 0.12/5.37 % WCLimit : 300
% 0.12/5.37 % DateTime : Sun Sep 27 13:18:21 UTC 2026
% 0.12/5.38 % CPUTime :
% 0.12/5.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/5.41 Running first-order model finding
% 0.15/5.41 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
% 0.15/5.45 % (2405032)Will run a generic schedule for satisfiability detection.
% 0.15/5.45 % (2405041)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2419724895:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/5.45 % (2405041) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2405032-2405041"...
% 0.15/5.45 % (2405041)...printing done.
% 0.15/5.45 % (2405041)Refutation found. Thanks to Tanya!
% 0.15/5.45 % SZS status Unsatisfiable for theBenchmark
% 0.15/5.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/5.46 % (2405041)------------------------------
% 0.15/5.46 % (2405041)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.46 % (2405041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.46 % (2405041)CaDiCaL version: 2.1.3
% 0.15/5.46 % (2405041)Termination reason: Refutation
% 0.15/5.46 % (2405041)Time elapsed: 0.001 s
% 0.15/5.46 % (2405041)Peak memory usage: 11 MB
% 0.15/5.46 % (2405041)Instructions burned: 1 (million)
% 0.15/5.46 % (2405032)Success in time 0.034 s
% 0.15/5.46 % Vampire exiting
%------------------------------------------------------------------------------