%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS090+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 11:41:37 AM UTC 2026
% Result : Unsatisfiable 3.50s 1.46s
% Output : Refutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 56 ( 11 unt; 4 def)
% Number of atoms : 135 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 135 ( 56 ~; 57 |; 11 &)
% ( 4 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 5 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 29 ( 0 sgn 27 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( cC2(X0)
=> ( ( ~ cB(X0)
| cA(X0) )
& ( cB(X0)
| cA(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f5,axiom,
! [X0] :
( cC3(X0)
=> ( ( ~ cB(X0)
| ~ cA(X0) )
& ( cB(X0)
| ~ cA(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f6,axiom,
! [X0] :
( cC4(X0)
=> ? [X1] :
( rR(X0,X1)
& cC2(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f7,axiom,
! [X0] :
( cC5(X0)
=> ! [X1] :
( rR(X0,X1)
=> cC3(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
! [X0] :
( cTEST(X0)
=> ( cC4(X0)
& cC1(X0)
& cC5(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
cTEST(i2003_11_14_17_19_57994),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).
fof(f42,plain,
! [X0] :
( cTEST(X0)
=> ( cC4(X0)
& cC5(X0) ) ),
inference(pure_predicate_removal,[],[f8]) ).
fof(f45,plain,
! [X0] :
( ( ( ~ cB(X0)
| cA(X0) )
& ( cB(X0)
| cA(X0) ) )
| ~ cC2(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f46,plain,
! [X0] :
( ( ( ~ cB(X0)
| ~ cA(X0) )
& ( cB(X0)
| ~ cA(X0) ) )
| ~ cC3(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f47,plain,
! [X0] :
( ? [X1] :
( rR(X0,X1)
& cC2(X1) )
| ~ cC4(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f48,plain,
! [X0] :
( ! [X1] :
( cC3(X1)
| ~ rR(X0,X1) )
| ~ cC5(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f49,plain,
! [X0] :
( ( cC4(X0)
& cC5(X0) )
| ~ cTEST(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f50,plain,
! [X0] :
( ( rR(X0,sK0(X0))
& cC2(sK0(X0)) )
| ~ cC4(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f47]) ).
fof(f51,plain,
! [X0] :
( ~ cC2(X0)
| cA(X0)
| cB(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f52,plain,
! [X0] :
( ~ cC2(X0)
| cA(X0)
| ~ cB(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f53,plain,
! [X0] :
( ~ cC3(X0)
| ~ cA(X0)
| cB(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f54,plain,
! [X0] :
( ~ cC3(X0)
| ~ cA(X0)
| ~ cB(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f55,plain,
! [X0] :
( ~ cC4(X0)
| cC2(sK0(X0)) ),
inference(cnf_transformation,[],[f50]) ).
fof(f56,plain,
! [X0] :
( rR(X0,sK0(X0))
| ~ cC4(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f57,plain,
! [X0,X1] :
( ~ cC5(X0)
| ~ rR(X0,X1)
| cC3(X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f58,plain,
! [X0] :
( cC5(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f59,plain,
! [X0] :
( ~ cTEST(X0)
| cC4(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f60,plain,
cTEST(i2003_11_14_17_19_57994),
inference(cnf_transformation,[],[f9]) ).
fof(f61,plain,
cC4(i2003_11_14_17_19_57994),
inference(resolution,[],[f59,f60]) ).
fof(f62,plain,
cC2(sK0(i2003_11_14_17_19_57994)),
inference(resolution,[],[f61,f55]) ).
fof(f63,plain,
( cA(sK0(i2003_11_14_17_19_57994))
| cB(sK0(i2003_11_14_17_19_57994)) ),
inference(resolution,[],[f62,f51]) ).
fof(f65,definition,
( spl1_1
<=> cB(sK0(i2003_11_14_17_19_57994)) ),
introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition]) ).
fof(f68,definition,
( spl1_2
<=> cA(sK0(i2003_11_14_17_19_57994)) ),
introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition]) ).
fof(f70,plain,
( spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f63,f68,f65]) ).
fof(f71,plain,
( cA(sK0(i2003_11_14_17_19_57994))
| ~ cB(sK0(i2003_11_14_17_19_57994)) ),
inference(resolution,[],[f52,f62]) ).
fof(f72,plain,
! [X0,X1] :
( ~ rR(X0,X1)
| cC3(X1)
| ~ cTEST(X0) ),
inference(resolution,[],[f57,f58]) ).
fof(f73,plain,
! [X0] :
( ~ cTEST(X0)
| cC3(sK0(X0))
| ~ cC4(X0) ),
inference(resolution,[],[f72,f56]) ).
fof(f74,plain,
( cC3(sK0(i2003_11_14_17_19_57994))
| ~ cC4(i2003_11_14_17_19_57994) ),
inference(resolution,[],[f73,f60]) ).
fof(f76,definition,
( spl1_3
<=> cC4(i2003_11_14_17_19_57994) ),
introduced(definition,[new_symbols(definition,[spl1_3])],[avatar_definition]) ).
fof(f77,plain,
( ~ cC4(i2003_11_14_17_19_57994)
| spl1_3 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,definition,
( spl1_4
<=> cC3(sK0(i2003_11_14_17_19_57994)) ),
introduced(definition,[new_symbols(definition,[spl1_4])],[avatar_definition]) ).
fof(f80,plain,
( cC3(sK0(i2003_11_14_17_19_57994))
| ~ spl1_4 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f81,plain,
( ~ spl1_3
| spl1_4 ),
inference(avatar_split_clause,[],[f74,f79,f76]) ).
fof(f82,plain,
( $false
| spl1_3 ),
inference(resolution,[],[f77,f61]) ).
fof(f83,plain,
spl1_3,
inference(avatar_contradiction_clause,[],[f82]) ).
fof(f84,plain,
( ~ cA(sK0(i2003_11_14_17_19_57994))
| ~ cB(sK0(i2003_11_14_17_19_57994))
| ~ spl1_4 ),
inference(resolution,[],[f80,f54]) ).
fof(f85,plain,
( ~ cA(sK0(i2003_11_14_17_19_57994))
| cB(sK0(i2003_11_14_17_19_57994))
| ~ spl1_4 ),
inference(resolution,[],[f80,f53]) ).
fof(f87,plain,
( spl1_1
| ~ spl1_2
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f85,f79,f68,f65]) ).
fof(f89,plain,
( ~ spl1_1
| ~ spl1_2
| ~ spl1_4 ),
inference(avatar_split_clause,[],[f84,f79,f68,f65]) ).
fof(f90,plain,
( ~ spl1_1
| spl1_2 ),
inference(avatar_split_clause,[],[f71,f68,f65]) ).
cnf(s1,plain,
( spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f70]) ).
cnf(s2,plain,
( ~ spl1_3
| spl1_4 ),
inference(sat_conversion,[],[f81]) ).
cnf(s3,plain,
spl1_3,
inference(sat_conversion,[],[f83]) ).
cnf(s4,plain,
( spl1_1
| ~ spl1_2
| ~ spl1_4 ),
inference(sat_conversion,[],[f87]) ).
cnf(s5,plain,
( ~ spl1_1
| ~ spl1_2
| ~ spl1_4 ),
inference(sat_conversion,[],[f89]) ).
cnf(s6,plain,
( ~ spl1_1
| spl1_2 ),
inference(sat_conversion,[],[f90]) ).
cnf(s7,plain,
spl1_4,
inference(rat,[],[s2,s3]) ).
cnf(s8,plain,
spl1_1,
inference(rat,[],[s1,s4,s7]) ).
cnf(s9,plain,
spl1_2,
inference(rat,[],[s6,s8]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s5,s7,s9,s8]) ).
fof(f91,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS090+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n014.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 13:22:17 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.50/1.46 % (816511)Detected formulas, will run a generic FOF schedule.
% 3.50/1.46 % (816519)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2256931979:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.50/1.46 % (816519)Refutation not found, incomplete strategy
% 3.50/1.46 % (816519)------------------------------
% 3.50/1.46 % (816519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.46 % (816519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.46 % (816519)CaDiCaL version: 2.1.3
% 3.50/1.46 % (816519)Termination reason: Refutation not found, incomplete strategy
% 3.50/1.46 % (816519)Time elapsed: 0.0000 s
% 3.50/1.46 % (816519)Peak memory usage: 86 MB
% 3.50/1.46 % (816516)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=2870729043:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.50/1.46 % (816518)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=557522603:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.50/1.46 % (816522)dis-21_1_sil=8000:lcm=predicate:random_seed=1383574435: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)
% 3.50/1.46 % (816517)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=3646108545:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.50/1.46 % (816521)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=518014100:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.50/1.46 % (816520)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3859921815:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.50/1.46 % (816520)Refutation not found, incomplete strategy
% 3.50/1.46 % (816520)------------------------------
% 3.50/1.46 % (816520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.46 % (816520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.46 % (816520)CaDiCaL version: 2.1.3
% 3.50/1.46 % (816520)Termination reason: Refutation not found, incomplete strategy
% 3.50/1.46 % (816520)Time elapsed: 0.0000 s
% 3.50/1.46 % (816520)Peak memory usage: 86 MB
% 3.50/1.46 % (816522)First to succeed.
% 3.50/1.46 % (816521)Also succeeded, but the first one will report.
% 3.50/1.46 % (816522)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-816511"
% 3.50/1.46 % (816519)------------------------------
% 3.50/1.46 % (816519)------------------------------
% 3.50/1.46 % (816530)lrs+10_1_sil=8000:sp=occurrence:random_seed=2915112467:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.50/1.46 % (816530)Refutation not found, incomplete strategy
% 3.50/1.46 % (816530)------------------------------
% 3.50/1.46 % (816530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.46 % (816530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.46 % (816530)CaDiCaL version: 2.1.3
% 3.50/1.46 % (816530)Termination reason: Refutation not found, incomplete strategy
% 3.50/1.46 % (816530)Time elapsed: 0.0000 s
% 3.50/1.46 % (816530)Peak memory usage: 86 MB
% 3.50/1.46 % (816520)------------------------------
% 3.50/1.46 % (816520)------------------------------
% 3.50/1.46 % (816522)Refutation found. Thanks to Tanya!
% 3.50/1.46 % SZS status Unsatisfiable for theBenchmark
% 3.50/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 3.50/1.47 % (816522)------------------------------
% 3.50/1.47 % (816522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.47 % (816522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.47 % (816522)CaDiCaL version: 2.1.3
% 3.50/1.47 % (816522)Termination reason: Refutation
% 3.50/1.47 % (816522)Time elapsed: 0.003 s
% 3.50/1.47 % (816522)Peak memory usage: 89 MB
% 3.50/1.47 % (816522)Instructions burned: 2 (million)
% 3.50/1.47 % (816522)------------------------------
% 3.50/1.47 % (816522)------------------------------
% 3.50/1.47 % (816511)Success in time 0.409 s
% 3.50/1.47 % Vampire exiting
%------------------------------------------------------------------------------