%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS123+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n012.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 11:42:19 AM UTC 2026
% Result : Unsatisfiable 0.06s 0.35s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 5 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 21 ~; 17 |; 3 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 33 ( 28 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cc(X0)
& cd(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cc(X0)
=> cdxcomp(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f7,axiom,
! [X0] :
( cd(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f8,axiom,
! [X0] :
( cdxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f13,axiom,
cUnsatisfiable(i2003_11_14_17_22_02803),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).
fof(f16,plain,
! [X0] :
( cdxcomp(X0)
=> ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
fof(f17,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ( cc(X0)
& cd(X0) ) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f18,plain,
! [X0] :
( cd(X0)
=> ~ ? [X1] : ra_Px1(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f7]) ).
fof(f27,plain,
! [X0] :
( ( cc(X0)
& cd(X0) )
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f28,plain,
! [X0] :
( cdxcomp(X0)
| ~ cc(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f29,plain,
! [X0] :
( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f30,plain,
! [X0] :
( ? [X1] : ra_Px1(X0,X1)
| ~ cdxcomp(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f31,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cd(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f32,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cc(X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f33,plain,
! [X0] :
( ~ cc(X0)
| cdxcomp(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f34,plain,
! [X0,X1] :
( ~ cd(X0)
| ~ ra_Px1(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f35,plain,
! [X0] :
( ~ cdxcomp(X0)
| ra_Px1(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f36,plain,
cUnsatisfiable(i2003_11_14_17_22_02803),
inference(cnf_transformation,[],[f13]) ).
fof(f37,plain,
! [X0] :
( ~ cc(X0)
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f38,plain,
! [X0] :
( cd(X0)
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f39,plain,
! [X0] :
( cdxcomp(X0)
| cc(X0) ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f40,plain,
! [X0,X1] :
( ra_Px1(X0,X1)
| ~ cd(X0) ),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f41,plain,
! [X0] :
( ~ ra_Px1(X0,sK0(X0))
| ~ cdxcomp(X0) ),
inference(consistent_polarity_flipping,[],[f35]) ).
fof(f42,plain,
~ cUnsatisfiable(i2003_11_14_17_22_02803),
inference(consistent_polarity_flipping,[],[f36]) ).
fof(f43,plain,
! [X0] :
( ~ cdxcomp(X0)
| ~ cd(X0) ),
inference(resolution,[],[f41,f40]) ).
fof(f44,plain,
! [X0] :
( ~ cd(X0)
| cc(X0) ),
inference(resolution,[],[f43,f39]) ).
fof(f45,plain,
! [X0] :
( cc(X0)
| cUnsatisfiable(X0) ),
inference(resolution,[],[f44,f38]) ).
fof(f46,plain,
! [X0] : cUnsatisfiable(X0),
inference(forward_subsumption_resolution,[],[f45,f37]) ).
fof(f47,plain,
$false,
inference(backward_subsumption_resolution,[],[f42,f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : KRS123+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 13:27:05 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.32 Running first-order model finding
% 0.06/0.33 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.06/0.35 % (2389584)Will run a generic schedule for satisfiability detection.
% 0.06/0.35 % (2389590)% WARNING: option uhcvi not known.
% 0.06/0.35 % (2389590)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1396309537:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.06/0.35 % (2389589)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1201376887_2999 on theBenchmark for (2999ds/0Mi)
% 0.06/0.35 % (2389591)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2986478384:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.06/0.35 % (2389595)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2394462260:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.06/0.35 % (2389592)dis+10_1_sil=32000:sp=arity:random_seed=2912233384:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.06/0.35 % (2389593)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3478601904:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.06/0.35 % (2389594)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2739176358:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.06/0.35 % (2389590) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2389584-2389590"...
% 0.06/0.35 % TRYING [1]
% 0.06/0.35 % TRYING [2]
% 0.06/0.35 % (2389589) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2389584-2389589"...
% 0.06/0.35 % (2389595) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2389584-2389595"...
% 0.06/0.35 % (2389592) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2389584-2389592"...
% 0.06/0.35 % (2389594) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2389584-2389594"...
% 0.06/0.35 % (2389593) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2389584-2389593"...
% 0.06/0.35 % (2389591) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2389584-2389591"...
% 0.06/0.35 % (2389590)...printing done.
% 0.06/0.35 % (2389589)...printing done.
% 0.06/0.35 % (2389595)...printing done.
% 0.06/0.35 % (2389592)...printing done.
% 0.06/0.35 % (2389594)...printing done.
% 0.06/0.35 % (2389593)...printing done.
% 0.06/0.35 % (2389591)...printing done.
% 0.06/0.35 % (2389590)Refutation found. Thanks to Tanya!
% 0.06/0.35 % SZS status Unsatisfiable for theBenchmark
% 0.06/0.35 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.35 % (2389590)------------------------------
% 0.06/0.35 % (2389590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.35 % (2389590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.35 % (2389590)CaDiCaL version: 2.1.3
% 0.06/0.35 % (2389590)Termination reason: Refutation
% 0.06/0.35 % (2389590)Time elapsed: 0.001 s
% 0.06/0.35 % (2389590)Peak memory usage: 11 MB
% 0.06/0.35 % (2389590)Instructions burned: 1 (million)
% 0.06/0.35 % (2389584)Success in time 0.022 s
% 0.06/0.35 % Vampire exiting
%------------------------------------------------------------------------------