%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS074+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 : n004.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 11:42:13 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 2
% Syntax : Number of formulae : 21 ( 5 unt; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 122 ( 40 ~; 41 |; 36 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 48 ( 33 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f21,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rs(X0,X1)
& cp(X1)
& ? [X2] :
( rinvS(X1,X2)
& cp(X2) ) )
& ! [X1] :
( rs(X0,X1)
=> ~ cp(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f28,axiom,
cUnsatisfiable(i2003_11_14_17_18_59896),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f31,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rs(X0,X1)
& cp(X1)
& ? [X2] :
( rinvS(X1,X2)
& cp(X2) ) )
& ! [X3] :
( rs(X0,X3)
=> ~ cp(X3) ) ) ),
inference(rectify,[],[f21]) ).
fof(f68,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rs(X0,X1)
& cp(X1)
& ? [X2] :
( rinvS(X1,X2)
& cp(X2) ) )
& ! [X3] :
( ~ cp(X3)
| ~ rs(X0,X3) ) ) ),
inference(ennf_transformation,[],[f31]) ).
fof(f78,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rs(X0,X1)
| ~ cp(X1)
| ! [X2] :
( ~ rinvS(X1,X2)
| ~ cp(X2) ) )
| ? [X3] :
( cp(X3)
& rs(X0,X3) ) )
& ( ( ? [X1] :
( rs(X0,X1)
& cp(X1)
& ? [X2] :
( rinvS(X1,X2)
& cp(X2) ) )
& ! [X3] :
( ~ cp(X3)
| ~ rs(X0,X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f79,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rs(X0,X1)
| ~ cp(X1)
| ! [X2] :
( ~ rinvS(X1,X2)
| ~ cp(X2) ) )
| ? [X3] :
( cp(X3)
& rs(X0,X3) ) )
& ( ( ? [X1] :
( rs(X0,X1)
& cp(X1)
& ? [X2] :
( rinvS(X1,X2)
& cp(X2) ) )
& ! [X3] :
( ~ cp(X3)
| ~ rs(X0,X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rs(X0,X1)
| ~ cp(X1)
| ! [X2] :
( ~ rinvS(X1,X2)
| ~ cp(X2) ) )
| ? [X3] :
( cp(X3)
& rs(X0,X3) ) )
& ( ( ? [X4] :
( rs(X0,X4)
& cp(X4)
& ? [X5] :
( rinvS(X4,X5)
& cp(X5) ) )
& ! [X6] :
( ~ cp(X6)
| ~ rs(X0,X6) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f79]) ).
fof(f81,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rs(X0,X1)
| ~ cp(X1)
| ! [X2] :
( ~ rinvS(X1,X2)
| ~ cp(X2) ) )
| ( cp(sK0(X0))
& rs(X0,sK0(X0)) ) )
& ( ( rs(X0,sK1(X0))
& cp(sK1(X0))
& rinvS(sK1(X0),sK2(X0))
& cp(sK2(X0))
& ! [X6] :
( ~ cp(X6)
| ~ rs(X0,X6) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X3,sK0(X0)),skolemize(X4,sK1(X0)),skolemize(X5,sK2(X0))],[f80]) ).
fof(f107,plain,
! [X0,X6] :
( ~ cp(X6)
| ~ rs(X0,X6)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f110,plain,
! [X0] :
( cp(sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f111,plain,
! [X0] :
( rs(X0,sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f123,plain,
cUnsatisfiable(i2003_11_14_17_18_59896),
inference(cnf_transformation,[],[f28]) ).
fof(f161,plain,
! [X0] :
( ~ rs(X0,sK1(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f111]) ).
fof(f162,plain,
! [X0] :
( ~ cp(sK1(X0))
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f110]) ).
fof(f165,plain,
! [X0,X6] :
( cp(X6)
| rs(X0,X6)
| cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f107]) ).
fof(f172,plain,
~ cUnsatisfiable(i2003_11_14_17_18_59896),
inference(consistent_polarity_flipping,[],[f123]) ).
fof(f188,plain,
! [X0,X1] :
( cUnsatisfiable(X1)
| cUnsatisfiable(X0)
| rs(X0,sK1(X1)) ),
inference(resolution,[],[f165,f162]) ).
fof(f190,plain,
! [X0] :
( rs(X0,sK1(i2003_11_14_17_18_59896))
| cUnsatisfiable(X0) ),
inference(resolution,[],[f188,f172]) ).
fof(f191,plain,
( cUnsatisfiable(i2003_11_14_17_18_59896)
| cUnsatisfiable(i2003_11_14_17_18_59896) ),
inference(resolution,[],[f190,f161]) ).
fof(f193,plain,
cUnsatisfiable(i2003_11_14_17_18_59896),
inference(duplicate_literal_removal,[],[f191]) ).
fof(f194,plain,
$false,
inference(resolution,[],[f193,f172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS074+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n004.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 13:21:52 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.18/0.46 % (3524795)Will run a generic schedule for satisfiability detection.
% 0.18/0.46 % (3524806)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=246429311:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.46 % (3524806) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3524795-3524806"...
% 0.18/0.46 % (3524806)...printing done.
% 0.18/0.46 % (3524801)% WARNING: option uhcvi not known.
% 0.18/0.46 % (3524806)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (3524806)------------------------------
% 0.18/0.46 % (3524806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46 % (3524806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46 % (3524806)CaDiCaL version: 2.1.3
% 0.18/0.46 % (3524806)Termination reason: Refutation
% 0.18/0.46 % (3524806)Time elapsed: 0.001 s
% 0.18/0.46 % (3524806)Peak memory usage: 12 MB
% 0.18/0.46 % (3524806)Instructions burned: 2 (million)
% 0.18/0.46 % (3524795)Success in time 0.027 s
% 0.18/0.46 % Vampire exiting
%------------------------------------------------------------------------------