%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n016.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 11:41:38 AM UTC 2026
% Result : Unsatisfiable 3.38s 1.34s
% Output : Refutation 3.38s
% 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
% 0.00/0.02 % 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 THM
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sun Sep 27 13:28:17 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 3.38/1.34 % (2650168)Detected formulas, will run a generic FOF schedule.
% 3.38/1.34 % (2650175)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=259623317:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.38/1.34 % (2650178)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2142867099:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.38/1.34 % (2650177)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2694050985:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.38/1.34 % (2650176)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=310351784:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.38/1.34 % (2650173)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=3926943520:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.38/1.34 % (2650179)dis-21_1_sil=8000:lcm=predicate:random_seed=1981229912: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)
% 3.38/1.34 % (2650174)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=2597475639:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.38/1.34 % (2650177)Refutation not found, incomplete strategy
% 3.38/1.34 % (2650177)------------------------------
% 3.38/1.34 % (2650177)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.34 % (2650177)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.34 % (2650177)CaDiCaL version: 2.1.3
% 3.38/1.34 % (2650177)Termination reason: Refutation not found, incomplete strategy
% 3.38/1.34 % (2650177)Time elapsed: 0.0000 s
% 3.38/1.34 % (2650177)Peak memory usage: 86 MB
% 3.38/1.34 % (2650176)Refutation not found, incomplete strategy
% 3.38/1.34 % (2650176)------------------------------
% 3.38/1.34 % (2650176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.34 % (2650176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.34 % (2650176)CaDiCaL version: 2.1.3
% 3.38/1.34 % (2650176)Termination reason: Refutation not found, incomplete strategy
% 3.38/1.34 % (2650176)Time elapsed: 0.0000 s
% 3.38/1.34 % (2650176)Peak memory usage: 86 MB
% 3.38/1.34 % (2650179)Also succeeded, but the first one will report.
% 3.38/1.34 % (2650178)First to succeed.
% 3.38/1.34 % (2650178)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2650168"
% 3.38/1.34 % (2650176)------------------------------
% 3.38/1.34 % (2650176)------------------------------
% 3.38/1.34 % (2650177)------------------------------
% 3.38/1.34 % (2650177)------------------------------
% 3.38/1.34 % (2650178)Refutation found. Thanks to Tanya!
% 3.38/1.34 % SZS status Unsatisfiable for theBenchmark
% 3.38/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 3.38/1.34 % (2650178)------------------------------
% 3.38/1.34 % (2650178)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.34 % (2650178)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.34 % (2650178)CaDiCaL version: 2.1.3
% 3.38/1.34 % (2650178)Termination reason: Refutation
% 3.38/1.34 % (2650178)Time elapsed: 0.001 s
% 3.38/1.34 % (2650178)Peak memory usage: 88 MB
% 3.38/1.34 % (2650178)------------------------------
% 3.38/1.34 % (2650178)------------------------------
% 3.38/1.34 % (2650168)Success in time 0.406 s
% 3.38/1.34 % Vampire exiting
%------------------------------------------------------------------------------