%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS100+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 11:42:16 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 47 ( 10 unt; 4 def)
% Number of atoms : 133 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 138 ( 52 ~; 55 |; 18 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 39 ( 0 sgn 34 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( rr(X0,X1)
=> ( ce(X1)
| ~ cd(X1) ) )
& ! [X1] :
( rr(X0,X1)
=> cd(X1) )
& ? [X1] :
( rr(X0,X1)
& ~ ce(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f5,axiom,
cUnsatisfiable(i2003_11_14_17_20_32704),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( rr(X0,X1)
=> ( ce(X1)
| ~ cd(X1) ) )
& ! [X2] :
( rr(X0,X2)
=> cd(X2) )
& ? [X3] :
( rr(X0,X3)
& ~ ce(X3) ) ) ),
inference(rectify,[],[f3]) ).
fof(f7,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ( ! [X1] :
( rr(X0,X1)
=> ( ce(X1)
| ~ cd(X1) ) )
& ! [X2] :
( rr(X0,X2)
=> cd(X2) )
& ? [X3] :
( rr(X0,X3)
& ~ ce(X3) ) ) ),
inference(unused_predicate_definition_removal,[],[f6]) ).
fof(f11,plain,
! [X0] :
( ( ! [X1] :
( ce(X1)
| ~ cd(X1)
| ~ rr(X0,X1) )
& ! [X2] :
( cd(X2)
| ~ rr(X0,X2) )
& ? [X3] :
( rr(X0,X3)
& ~ ce(X3) ) )
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f12,plain,
! [X0] :
( ( ! [X1] :
( ce(X1)
| ~ cd(X1)
| ~ rr(X0,X1) )
& ! [X2] :
( cd(X2)
| ~ rr(X0,X2) )
& ? [X3] :
( rr(X0,X3)
& ~ ce(X3) ) )
| ~ cUnsatisfiable(X0) ),
inference(flattening,[],[f11]) ).
fof(f13,plain,
! [X0] :
( ( ! [X1] :
( ce(X1)
| ~ cd(X1)
| ~ rr(X0,X1) )
& ! [X2] :
( cd(X2)
| ~ rr(X0,X2) )
& rr(X0,sK0(X0))
& ~ ce(sK0(X0)) )
| ~ cUnsatisfiable(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0))],[f12]) ).
fof(f14,plain,
! [X0] :
( ~ ce(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f15,plain,
! [X0] :
( rr(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f16,plain,
! [X2,X0] :
( cd(X2)
| ~ rr(X0,X2)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f17,plain,
! [X0,X1] :
( ce(X1)
| ~ cd(X1)
| ~ rr(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f18,plain,
cUnsatisfiable(i2003_11_14_17_20_32704),
inference(cnf_transformation,[],[f5]) ).
fof(f19,plain,
! [X0,X1] :
( cd(X1)
| ~ ce(X1)
| rr(X0,X1)
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f17]) ).
fof(f20,plain,
! [X2,X0] :
( cUnsatisfiable(X0)
| rr(X0,X2)
| ~ cd(X2) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f21,plain,
! [X0] :
( ~ rr(X0,sK0(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f15]) ).
fof(f22,plain,
! [X0] :
( ce(sK0(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f14]) ).
fof(f23,plain,
~ cUnsatisfiable(i2003_11_14_17_20_32704),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f24,plain,
! [X0] :
( rr(i2003_11_14_17_20_32704,X0)
| ~ cd(X0) ),
inference(resolution,[],[f20,f23]) ).
fof(f25,plain,
( ~ cd(sK0(i2003_11_14_17_20_32704))
| cUnsatisfiable(i2003_11_14_17_20_32704) ),
inference(resolution,[],[f24,f21]) ).
fof(f27,definition,
( spl1_1
<=> cUnsatisfiable(i2003_11_14_17_20_32704) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f29,plain,
( cUnsatisfiable(i2003_11_14_17_20_32704)
| ~ spl1_1 ),
inference(avatar_component_clause,[],[f27]) ).
fof(f31,definition,
( spl1_2
<=> cd(sK0(i2003_11_14_17_20_32704)) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f33,plain,
( ~ cd(sK0(i2003_11_14_17_20_32704))
| spl1_2 ),
inference(avatar_component_clause,[],[f31]) ).
fof(f34,plain,
( spl1_1
| ~ spl1_2 ),
inference(avatar_split_clause,[],[f25,f31,f27]) ).
fof(f35,plain,
( ! [X0] :
( ~ ce(sK0(i2003_11_14_17_20_32704))
| rr(X0,sK0(i2003_11_14_17_20_32704))
| cUnsatisfiable(X0) )
| spl1_2 ),
inference(resolution,[],[f19,f33]) ).
fof(f37,definition,
( spl1_3
<=> ! [X0] :
( rr(X0,sK0(i2003_11_14_17_20_32704))
| cUnsatisfiable(X0) ) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f38,plain,
( ! [X0] :
( rr(X0,sK0(i2003_11_14_17_20_32704))
| cUnsatisfiable(X0) )
| ~ spl1_3 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f40,definition,
( spl1_4
<=> ce(sK0(i2003_11_14_17_20_32704)) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f42,plain,
( ~ ce(sK0(i2003_11_14_17_20_32704))
| spl1_4 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f43,plain,
( spl1_3
| ~ spl1_4
| spl1_2 ),
inference(avatar_split_clause,[],[f35,f31,f40,f37]) ).
fof(f44,plain,
( cUnsatisfiable(i2003_11_14_17_20_32704)
| spl1_4 ),
inference(resolution,[],[f42,f22]) ).
fof(f45,plain,
( spl1_1
| spl1_4 ),
inference(avatar_split_clause,[],[f44,f40,f27]) ).
fof(f46,plain,
( cUnsatisfiable(i2003_11_14_17_20_32704)
| cUnsatisfiable(i2003_11_14_17_20_32704)
| ~ spl1_3 ),
inference(resolution,[],[f38,f21]) ).
fof(f47,plain,
( cUnsatisfiable(i2003_11_14_17_20_32704)
| ~ spl1_3 ),
inference(duplicate_literal_removal,[],[f46]) ).
fof(f48,plain,
( spl1_1
| ~ spl1_3 ),
inference(avatar_split_clause,[],[f47,f37,f27]) ).
fof(f49,plain,
( $false
| ~ spl1_1 ),
inference(resolution,[],[f29,f23]) ).
fof(f50,plain,
~ spl1_1,
inference(avatar_contradiction_clause,[],[f49]) ).
cnf(s1,plain,
( spl1_1
| ~ spl1_2 ),
inference(sat_conversion,[],[f34]) ).
cnf(s2,plain,
( spl1_2
| spl1_3
| ~ spl1_4 ),
inference(sat_conversion,[],[f43]) ).
cnf(s3,plain,
( spl1_1
| spl1_4 ),
inference(sat_conversion,[],[f45]) ).
cnf(s4,plain,
( spl1_1
| ~ spl1_3 ),
inference(sat_conversion,[],[f48]) ).
cnf(s5,plain,
~ spl1_1,
inference(sat_conversion,[],[f50]) ).
cnf(s6,plain,
~ spl1_3,
inference(rat,[],[s4,s5]) ).
cnf(s7,plain,
spl1_4,
inference(rat,[],[s3,s5]) ).
cnf(s8,plain,
spl1_2,
inference(rat,[],[s2,s7,s6]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s1,s8,s5]) ).
fof(f51,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS100+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 13:22:37 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.45 % (3525974)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (3525985)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=980638314:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (3525985) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3525974-3525985"...
% 0.11/0.45 % (3525985)...printing done.
% 0.11/0.45 % (3525980)% WARNING: option uhcvi not known.
% 0.11/0.45 % (3525985)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (3525985)------------------------------
% 0.11/0.45 % (3525985)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (3525985)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (3525985)CaDiCaL version: 2.1.3
% 0.11/0.45 % (3525985)Termination reason: Refutation
% 0.11/0.45 % (3525985)Time elapsed: 0.001 s
% 0.11/0.45 % (3525985)Peak memory usage: 12 MB
% 0.11/0.45 % (3525985)Instructions burned: 1 (million)
% 0.11/0.45 % (3525974)Success in time 0.031 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------