%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n010.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 11:41:34 AM UTC 2026
% Result : Unsatisfiable 3.61s 1.49s
% Output : Refutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 51 ( 7 unt; 3 def)
% Number of atoms : 129 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 128 ( 50 ~; 58 |; 13 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 17 ( 0 sgn 17 !; 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] :
( cb(X0)
| ca(X0)
| ca(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f17,plain,
! [X0] :
( cb(X0)
| cb(X0)
| cc(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f18,plain,
! [X0] :
( cc(X0)
| ca(X0)
| ca(X0)
| ~ cUnsatisfiable(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)
| ca(X0)
| cb(X0) ),
inference(duplicate_literal_removal,[],[f14]) ).
fof(f28,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cc(X0)
| cb(X0) ),
inference(duplicate_literal_removal,[],[f17]) ).
fof(f29,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ca(X0)
| cc(X0) ),
inference(duplicate_literal_removal,[],[f18]) ).
fof(f32,plain,
( ca(i2003_11_14_17_18_1956)
| cb(i2003_11_14_17_18_1956) ),
inference(resolution,[],[f26,f25]) ).
fof(f34,definition,
( spl0_1
<=> cb(i2003_11_14_17_18_1956) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f35,plain,
( cb(i2003_11_14_17_18_1956)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f34]) ).
fof(f37,definition,
( spl0_2
<=> ca(i2003_11_14_17_18_1956) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f38,plain,
( ca(i2003_11_14_17_18_1956)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f39,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f32,f37,f34]) ).
fof(f40,plain,
( ~ cc(i2003_11_14_17_18_1956)
| ~ spl0_2 ),
inference(resolution,[],[f38,f23]) ).
fof(f41,plain,
( ~ cb(i2003_11_14_17_18_1956)
| ~ spl0_2 ),
inference(resolution,[],[f38,f22]) ).
fof(f42,plain,
( cc(i2003_11_14_17_18_1956)
| cb(i2003_11_14_17_18_1956) ),
inference(resolution,[],[f28,f25]) ).
fof(f44,definition,
( spl0_3
<=> cc(i2003_11_14_17_18_1956) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f45,plain,
( cc(i2003_11_14_17_18_1956)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f46,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f42,f44,f34]) ).
fof(f47,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f35,f41]) ).
fof(f48,plain,
( ~ cc(i2003_11_14_17_18_1956)
| ~ spl0_1 ),
inference(resolution,[],[f35,f24]) ).
fof(f49,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f47]) ).
fof(f50,plain,
( ca(i2003_11_14_17_18_1956)
| cc(i2003_11_14_17_18_1956) ),
inference(resolution,[],[f29,f25]) ).
fof(f51,plain,
( spl0_3
| spl0_2 ),
inference(avatar_split_clause,[],[f50,f37,f44]) ).
fof(f52,plain,
( $false
| ~ spl0_1
| ~ spl0_3 ),
inference(resolution,[],[f45,f48]) ).
fof(f53,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f52]) ).
fof(f56,plain,
( $false
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f40,f45]) ).
fof(f57,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(avatar_contradiction_clause,[],[f56]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f39]) ).
cnf(s2,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f46]) ).
cnf(s3,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f49]) ).
cnf(s4,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f51]) ).
cnf(s5,plain,
( ~ spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f53]) ).
cnf(s6,plain,
( ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f57]) ).
cnf(s7,plain,
spl0_1,
inference(rat,[],[s6,s1,s2]) ).
cnf(s8,plain,
~ spl0_3,
inference(rat,[],[s5,s7]) ).
cnf(s9,plain,
~ spl0_2,
inference(rat,[],[s3,s7]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s4,s8,s9]) ).
fof(f58,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----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 THM
% 0.12/0.38 % Computer : n010.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 13:18:33 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.61/1.49 % (965135)Detected formulas, will run a generic FOF schedule.
% 3.61/1.49 % (965140)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2004141535:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.61/1.49 % (965144)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2921769721:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.61/1.49 % (965143)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3404919415:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.61/1.49 % (965142)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=2678247838:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.61/1.49 % (965141)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=640376844:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.61/1.49 % (965146)dis-21_1_sil=8000:lcm=predicate:random_seed=1321655099:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.61/1.49 % (965144)Refutation not found, incomplete strategy
% 3.61/1.49 % (965144)------------------------------
% 3.61/1.49 % (965144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.49 % (965144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.49 % (965144)CaDiCaL version: 2.1.3
% 3.61/1.49 % (965144)Termination reason: Refutation not found, incomplete strategy
% 3.61/1.49 % (965144)Time elapsed: 0.0000 s
% 3.61/1.49 % (965144)Peak memory usage: 86 MB
% 3.61/1.49 % (965143)Refutation not found, incomplete strategy
% 3.61/1.49 % (965143)------------------------------
% 3.61/1.49 % (965143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.49 % (965143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.49 % (965143)CaDiCaL version: 2.1.3
% 3.61/1.49 % (965143)Termination reason: Refutation not found, incomplete strategy
% 3.61/1.49 % (965143)Time elapsed: 0.0000 s
% 3.61/1.49 % (965143)Peak memory usage: 86 MB
% 3.61/1.49 % (965146)First to succeed.
% 3.61/1.49 % (965146)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-965135"
% 3.61/1.49 % (965145)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=615765268:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.61/1.49 % (965145)Also succeeded, but the first one will report.
% 3.61/1.49 % (965143)------------------------------
% 3.61/1.49 % (965143)------------------------------
% 3.61/1.49 % (965144)------------------------------
% 3.61/1.49 % (965144)------------------------------
% 3.61/1.49 % (965146)Refutation found. Thanks to Tanya!
% 3.61/1.49 % SZS status Unsatisfiable for theBenchmark
% 3.61/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.61/1.49 % (965146)------------------------------
% 3.61/1.49 % (965146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.49 % (965146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.49 % (965146)CaDiCaL version: 2.1.3
% 3.61/1.49 % (965146)Termination reason: Refutation
% 3.61/1.49 % (965146)Time elapsed: 0.002 s
% 3.61/1.49 % (965146)Peak memory usage: 89 MB
% 3.61/1.49 % (965146)Instructions burned: 1 (million)
% 3.61/1.49 % (965146)------------------------------
% 3.61/1.49 % (965146)------------------------------
% 3.61/1.49 % (965135)Success in time 0.432 s
% 3.61/1.49 % Vampire exiting
%------------------------------------------------------------------------------