%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS087+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 : n013.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 11:42:14 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 36 ( 4 unt; 0 def)
% Number of atoms : 139 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 176 ( 73 ~; 64 |; 34 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 81 ( 68 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cp1(X0)
& ? [X1] :
( rr(X0,X1)
& ? [X2] :
( rr(X1,X2)
& ! [X3] :
( rinvR(X2,X3)
=> ~ cp1(X3) )
& cp1(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f20,axiom,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( rr(X0,X1)
& rr(X1,X2) )
=> rr(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).
fof(f22,axiom,
cUnsatisfiable(i2003_11_14_17_19_46763),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f51,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( cp1(X0)
& ? [X1] :
( rr(X0,X1)
& ? [X2] :
( rr(X1,X2)
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2) ) ) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f54,plain,
! [X0,X1,X2] :
( rr(X0,X2)
| ~ rr(X0,X1)
| ~ rr(X1,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f55,plain,
! [X0,X1,X2] :
( rr(X0,X2)
| ~ rr(X0,X1)
| ~ rr(X1,X2) ),
inference(flattening,[],[f54]) ).
fof(f57,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ! [X2] :
( ~ rr(X1,X2)
| ? [X3] :
( cp1(X3)
& rinvR(X2,X3) )
| ~ cp1(X2) ) ) )
& ( ( cp1(X0)
& ? [X1] :
( rr(X0,X1)
& ? [X2] :
( rr(X1,X2)
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2) ) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f51]) ).
fof(f58,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ! [X2] :
( ~ rr(X1,X2)
| ? [X3] :
( cp1(X3)
& rinvR(X2,X3) )
| ~ cp1(X2) ) ) )
& ( ( cp1(X0)
& ? [X1] :
( rr(X0,X1)
& ? [X2] :
( rr(X1,X2)
& ! [X3] :
( ~ cp1(X3)
| ~ rinvR(X2,X3) )
& cp1(X2) ) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f57]) ).
fof(f59,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ! [X2] :
( ~ rr(X1,X2)
| ? [X3] :
( cp1(X3)
& rinvR(X2,X3) )
| ~ cp1(X2) ) ) )
& ( ( cp1(X0)
& ? [X4] :
( rr(X0,X4)
& ? [X5] :
( rr(X4,X5)
& ! [X6] :
( ~ cp1(X6)
| ~ rinvR(X5,X6) )
& cp1(X5) ) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f58]) ).
fof(f60,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ~ cp1(X0)
| ! [X1] :
( ~ rr(X0,X1)
| ! [X2] :
( ~ rr(X1,X2)
| ( cp1(sK0(X2))
& rinvR(X2,sK0(X2)) )
| ~ cp1(X2) ) ) )
& ( ( cp1(X0)
& rr(X0,sK1(X0))
& rr(sK1(X0),sK2(X0))
& ! [X6] :
( ~ cp1(X6)
| ~ rinvR(sK2(X0),X6) )
& cp1(sK2(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X3,sK0(X2)),skolemize(X4,sK1(X0)),skolemize(X5,sK2(X0))],[f59]) ).
fof(f62,plain,
! [X0,X1] :
( ( rinvR(X0,X1)
| ~ rr(X1,X0) )
& ( rr(X1,X0)
| ~ rinvR(X0,X1) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f82,plain,
! [X0,X6] :
( ~ rinvR(sK2(X0),X6)
| ~ cp1(X6)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f83,plain,
! [X0] :
( rr(sK1(X0),sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f84,plain,
! [X0] :
( rr(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f85,plain,
! [X0] :
( cp1(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f60]) ).
fof(f91,plain,
! [X0,X1] :
( rr(X1,X0)
| ~ rinvR(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f92,plain,
! [X0,X1] :
( rinvR(X0,X1)
| ~ rr(X1,X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f93,plain,
! [X2,X0,X1] :
( rr(X0,X2)
| ~ rr(X0,X1)
| ~ rr(X1,X2) ),
inference(cnf_transformation,[],[f55]) ).
fof(f94,plain,
cUnsatisfiable(i2003_11_14_17_19_46763),
inference(cnf_transformation,[],[f22]) ).
fof(f121,plain,
! [X0] :
( ~ rr(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f84]) ).
fof(f122,plain,
! [X0] :
( ~ rr(sK1(X0),sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f83]) ).
fof(f126,plain,
! [X0,X1] :
( rr(X1,X0)
| rinvR(X0,X1) ),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f127,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| ~ rinvR(X0,X1) ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f128,plain,
! [X2,X0,X1] :
( rr(X1,X2)
| rr(X0,X1)
| ~ rr(X0,X2) ),
inference(consistent_polarity_flipping,[],[f93]) ).
fof(f133,plain,
! [X0] :
( rinvR(sK2(X0),sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f122,f126]) ).
fof(f138,plain,
! [X2,X0,X1] :
( rr(X0,X1)
| ~ rr(X0,X2)
| ~ rinvR(X2,X1) ),
inference(resolution,[],[f128,f127]) ).
fof(f142,plain,
! [X0,X1] :
( ~ rr(X0,X1)
| ~ rinvR(X1,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f138,f121]) ).
fof(f148,plain,
! [X0,X1] :
( ~ rinvR(X0,sK1(X1))
| ~ cUnsatisfiable(X1)
| rinvR(X0,X1) ),
inference(resolution,[],[f142,f126]) ).
fof(f154,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rinvR(sK2(X0),X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f148,f133]) ).
fof(f155,plain,
! [X0] :
( rinvR(sK2(X0),X0)
| ~ cUnsatisfiable(X0) ),
inference(duplicate_literal_removal,[],[f154]) ).
fof(f156,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cp1(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f155,f82]) ).
fof(f158,plain,
! [X0] :
( ~ cp1(X0)
| ~ cUnsatisfiable(X0) ),
inference(duplicate_literal_removal,[],[f156]) ).
fof(f159,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f158,f85]) ).
fof(f161,plain,
! [X0] : ~ cUnsatisfiable(X0),
inference(duplicate_literal_removal,[],[f159]) ).
fof(f162,plain,
$false,
inference(resolution,[],[f161,f94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS087+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40 % Computer : n013.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 13:21:21 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43 Running first-order model finding
% 0.13/0.43 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
% 0.17/0.48 % (227620)Will run a generic schedule for satisfiability detection.
% 0.17/0.48 % (227631)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=589646886:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.48 % (227631) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-227620-227631"...
% 0.17/0.48 % (227631)...printing done.
% 0.17/0.48 % (227626)% WARNING: option uhcvi not known.
% 0.17/0.48 % (227631)Refutation found. Thanks to Tanya!
% 0.17/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (227631)------------------------------
% 0.17/0.48 % (227631)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (227631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (227631)CaDiCaL version: 2.1.3
% 0.17/0.48 % (227631)Termination reason: Refutation
% 0.17/0.48 % (227631)Time elapsed: 0.002 s
% 0.17/0.48 % (227631)Peak memory usage: 12 MB
% 0.17/0.48 % (227631)Instructions burned: 3 (million)
% 0.17/0.48 % (227620)Success in time 0.033 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------