%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS126+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 : n002.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 11:42:20 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 25 ( 5 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 39 ( 19 ~; 14 |; 0 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 29 ( 24 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> cd1xcomp(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f4,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> cd1(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f8,axiom,
! [X0] :
( cd1(X0)
<=> ? [X1] : ra_Px2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).
fof(f9,axiom,
! [X0] :
( cd1xcomp(X0)
<=> ~ ? [X1] : ra_Px2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f12,axiom,
cUnsatisfiable(i2003_11_14_17_22_23554),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f15,plain,
! [X0] :
( cd1(X0)
=> ? [X1] : ra_Px2(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f8]) ).
fof(f16,plain,
! [X0] :
( cd1xcomp(X0)
=> ~ ? [X1] : ra_Px2(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f9]) ).
fof(f24,plain,
! [X0] :
( cd1xcomp(X0)
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f25,plain,
! [X0] :
( cd1(X0)
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f26,plain,
! [X0] :
( ? [X1] : ra_Px2(X0,X1)
| ~ cd1(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f27,plain,
! [X0] :
( ! [X1] : ~ ra_Px2(X0,X1)
| ~ cd1xcomp(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f28,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cd1xcomp(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f29,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cd1(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f30,plain,
! [X0] :
( ~ cd1(X0)
| ra_Px2(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f26]) ).
fof(f31,plain,
! [X0,X1] :
( ~ cd1xcomp(X0)
| ~ ra_Px2(X0,X1) ),
inference(cnf_transformation,[],[f27]) ).
fof(f32,plain,
cUnsatisfiable(i2003_11_14_17_22_23554),
inference(cnf_transformation,[],[f12]) ).
fof(f33,plain,
! [X0] :
( cd1xcomp(X0)
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f28]) ).
fof(f34,plain,
! [X0] :
( cd1(X0)
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f29]) ).
fof(f35,plain,
! [X0] :
( ~ ra_Px2(X0,sK0(X0))
| ~ cd1(X0) ),
inference(consistent_polarity_flipping,[],[f30]) ).
fof(f36,plain,
! [X0,X1] :
( ra_Px2(X0,X1)
| ~ cd1xcomp(X0) ),
inference(consistent_polarity_flipping,[],[f31]) ).
fof(f37,plain,
~ cUnsatisfiable(i2003_11_14_17_22_23554),
inference(consistent_polarity_flipping,[],[f32]) ).
fof(f38,plain,
! [X0] :
( ~ cd1(X0)
| ~ cd1xcomp(X0) ),
inference(resolution,[],[f35,f36]) ).
fof(f39,plain,
! [X0] :
( ~ cd1xcomp(X0)
| cUnsatisfiable(X0) ),
inference(resolution,[],[f38,f34]) ).
fof(f40,plain,
! [X0] : cUnsatisfiable(X0),
inference(forward_subsumption_resolution,[],[f39,f33]) ).
fof(f41,plain,
$false,
inference(backward_subsumption_resolution,[],[f37,f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS126+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 % Computer : n002.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 13:30:22 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.42 Running first-order model finding
% 0.13/0.42 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
% 0.19/0.47 % (3529469)Will run a generic schedule for satisfiability detection.
% 0.19/0.47 % (3529479)% WARNING: option uhcvi not known.
% 0.19/0.47 % (3529479)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=103424861:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.47 % (3529479) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3529469-3529479"...
% 0.19/0.47 % (3529479)...printing done.
% 0.19/0.47 % (3529479)Refutation found. Thanks to Tanya!
% 0.19/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.47 % (3529479)------------------------------
% 0.19/0.47 % (3529479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.47 % (3529479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.47 % (3529479)CaDiCaL version: 2.1.3
% 0.19/0.47 % (3529479)Termination reason: Refutation
% 0.19/0.47 % (3529479)Time elapsed: 0.001 s
% 0.19/0.47 % (3529479)Peak memory usage: 11 MB
% 0.19/0.47 % (3529479)Instructions burned: 1 (million)
% 0.19/0.47 % (3529469)Success in time 0.034 s
% 0.19/0.47 % Vampire exiting
%------------------------------------------------------------------------------