%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS128+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 : n017.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 0.15s 5.46s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 36 ( 5 unt; 0 def)
% Number of atoms : 97 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 86 ( 25 ~; 34 |; 13 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 55 ( 47 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cexcomp(X1) )
& ! [X1] :
( rr(X0,X1)
=> cd(X1) )
& ! [X1] :
( rr(X0,X1)
=> ca_Cx4(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f9,axiom,
! [X0] :
( ca_Cx4(X0)
<=> ? [X1] : ra_Px4(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f10,axiom,
! [X0] :
( ca_Cx4xcomp(X0)
<=> ~ ? [X1] : ra_Px4(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f11,axiom,
! [X0] :
( ca_Cx4xcomp(X0)
<=> ( cd(X0)
& cexcomp(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).
fof(f12,axiom,
cUnsatisfiable(i2003_11_14_17_22_31584),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f13,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rr(X0,X1)
& cexcomp(X1) )
& ! [X2] :
( rr(X0,X2)
=> cd(X2) )
& ! [X3] :
( rr(X0,X3)
=> ca_Cx4(X3) ) ) ),
inference(rectify,[],[f3]) ).
fof(f15,plain,
! [X0] :
( cUnsatisfiable(X0)
=> ( ? [X1] :
( rr(X0,X1)
& cexcomp(X1) )
& ! [X2] :
( rr(X0,X2)
=> cd(X2) )
& ! [X3] :
( rr(X0,X3)
=> ca_Cx4(X3) ) ) ),
inference(unused_predicate_definition_removal,[],[f13]) ).
fof(f16,plain,
! [X0] :
( ca_Cx4(X0)
=> ? [X1] : ra_Px4(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f9]) ).
fof(f21,plain,
! [X0] :
( ( ? [X1] :
( rr(X0,X1)
& cexcomp(X1) )
& ! [X2] :
( cd(X2)
| ~ rr(X0,X2) )
& ! [X3] :
( ca_Cx4(X3)
| ~ rr(X0,X3) ) )
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f22,plain,
! [X0] :
( ? [X1] : ra_Px4(X0,X1)
| ~ ca_Cx4(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f23,plain,
! [X0] :
( ca_Cx4xcomp(X0)
<=> ! [X1] : ~ ra_Px4(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f24,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cexcomp(sK0(X0)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f25,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f21]) ).
fof(f26,plain,
! [X2,X0] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X2)
| cd(X2) ),
inference(cnf_transformation,[],[f21]) ).
fof(f27,plain,
! [X3,X0] :
( ~ cUnsatisfiable(X0)
| ~ rr(X0,X3)
| ca_Cx4(X3) ),
inference(cnf_transformation,[],[f21]) ).
fof(f32,plain,
! [X0] :
( ~ ca_Cx4(X0)
| ra_Px4(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f22]) ).
fof(f34,plain,
! [X0,X1] :
( ~ ra_Px4(X0,X1)
| ~ ca_Cx4xcomp(X0) ),
inference(cnf_transformation,[],[f23]) ).
fof(f37,plain,
! [X0] :
( ~ cexcomp(X0)
| ~ cd(X0)
| ca_Cx4xcomp(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f38,plain,
cUnsatisfiable(i2003_11_14_17_22_31584),
inference(cnf_transformation,[],[f12]) ).
fof(f39,plain,
! [X3,X0] :
( rr(X0,X3)
| cUnsatisfiable(X0)
| ca_Cx4(X3) ),
inference(consistent_polarity_flipping,[],[f27]) ).
fof(f40,plain,
! [X2,X0] :
( rr(X0,X2)
| cUnsatisfiable(X0)
| cd(X2) ),
inference(consistent_polarity_flipping,[],[f26]) ).
fof(f41,plain,
! [X0] :
( ~ rr(X0,sK0(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f25]) ).
fof(f42,plain,
! [X0] :
( ~ cexcomp(sK0(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f24]) ).
fof(f45,plain,
! [X0,X1] :
( ~ ra_Px4(X0,X1)
| ca_Cx4xcomp(X0) ),
inference(consistent_polarity_flipping,[],[f34]) ).
fof(f47,plain,
! [X0] :
( ~ cd(X0)
| cexcomp(X0)
| ~ ca_Cx4xcomp(X0) ),
inference(consistent_polarity_flipping,[],[f37]) ).
fof(f50,plain,
~ cUnsatisfiable(i2003_11_14_17_22_31584),
inference(consistent_polarity_flipping,[],[f38]) ).
fof(f54,plain,
! [X0] :
( cUnsatisfiable(X0)
| ca_Cx4(sK0(X0))
| cUnsatisfiable(X0) ),
inference(resolution,[],[f39,f41]) ).
fof(f55,plain,
! [X0] :
( ca_Cx4(sK0(X0))
| cUnsatisfiable(X0) ),
inference(duplicate_literal_removal,[],[f54]) ).
fof(f56,plain,
! [X0] :
( ra_Px4(sK0(X0),sK3(sK0(X0)))
| cUnsatisfiable(X0) ),
inference(resolution,[],[f55,f32]) ).
fof(f57,plain,
! [X0] :
( cUnsatisfiable(X0)
| cd(sK0(X0))
| cUnsatisfiable(X0) ),
inference(resolution,[],[f40,f41]) ).
fof(f58,plain,
! [X0] :
( cd(sK0(X0))
| cUnsatisfiable(X0) ),
inference(duplicate_literal_removal,[],[f57]) ).
fof(f59,plain,
! [X0] :
( cUnsatisfiable(X0)
| cexcomp(sK0(X0))
| ~ ca_Cx4xcomp(sK0(X0)) ),
inference(resolution,[],[f58,f47]) ).
fof(f61,plain,
! [X0] :
( ~ ca_Cx4xcomp(sK0(X0))
| cUnsatisfiable(X0) ),
inference(forward_subsumption_resolution,[],[f59,f42]) ).
fof(f63,plain,
! [X0] :
( cUnsatisfiable(X0)
| ca_Cx4xcomp(sK0(X0)) ),
inference(resolution,[],[f56,f45]) ).
fof(f64,plain,
! [X0] : cUnsatisfiable(X0),
inference(forward_subsumption_resolution,[],[f63,f61]) ).
fof(f66,plain,
$false,
inference(backward_subsumption_resolution,[],[f50,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS128+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/5.39 % Computer : n017.cluster.edu
% 0.10/5.39 % Model : x86_64 x86_64
% 0.10/5.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.39 % Memory : 8046.5625MB
% 0.10/5.39 % OS : Linux 6.8.0-71-generic
% 0.10/5.39 % CPULimit : 300
% 0.10/5.39 % WCLimit : 300
% 0.10/5.39 % DateTime : Sun Sep 27 13:23:25 UTC 2026
% 0.10/5.39 % CPUTime :
% 0.10/5.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/5.42 Running first-order model finding
% 0.15/5.42 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
% 0.15/5.46 % (2552434)Will run a generic schedule for satisfiability detection.
% 0.15/5.46 % (2552440)% WARNING: option uhcvi not known.
% 0.15/5.46 % (2552440)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1289267279:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/5.46 % (2552440) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2552434-2552440"...
% 0.15/5.46 % (2552440)...printing done.
% 0.15/5.46 % (2552440)Refutation found. Thanks to Tanya!
% 0.15/5.46 % SZS status Unsatisfiable for theBenchmark
% 0.15/5.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/5.46 % (2552440)------------------------------
% 0.15/5.46 % (2552440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/5.46 % (2552440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/5.46 % (2552440)CaDiCaL version: 2.1.3
% 0.15/5.46 % (2552440)Termination reason: Refutation
% 0.15/5.46 % (2552440)Time elapsed: 0.001 s
% 0.15/5.46 % (2552440)Peak memory usage: 11 MB
% 0.15/5.46 % (2552440)Instructions burned: 2 (million)
% 0.15/5.46 % (2552434)Success in time 0.028 s
% 0.15/5.46 % Vampire exiting
%------------------------------------------------------------------------------