%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS111+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 : n016.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 11:42:18 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.44s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 57 ( 17 unt; 0 def)
% Number of atoms : 175 ( 12 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 190 ( 72 ~; 67 |; 42 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 107 ( 86 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f24,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rf1(X0,X1)
& cpxcomp(X1) )
& ? [X1] :
( rs(X0,X1)
& cowlThing(X1) )
& ? [X1] :
( rf(X0,X1)
& cp(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f25,axiom,
! [X0] :
( cp(X0)
<=> ~ ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f26,axiom,
! [X0] :
( cpxcomp(X0)
<=> ? [X1] : ra_Px1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f27,axiom,
! [X0,X1,X2] :
( ( rf(X0,X1)
& rf(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f28,axiom,
! [X0,X1,X2] :
( ( rf1(X0,X1)
& rf1(X0,X2) )
=> X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f33,axiom,
cUnsatisfiable(i2003_11_14_17_21_15425),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_11) ).
fof(f34,axiom,
! [X0,X1] :
( rs(X0,X1)
=> rf(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_12) ).
fof(f35,axiom,
! [X0,X1] :
( rs(X0,X1)
=> rf1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_13) ).
fof(f36,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ? [X1] :
( rf1(X0,X1)
& cpxcomp(X1) )
& ? [X2] :
( rs(X0,X2)
& cowlThing(X2) )
& ? [X3] :
( rf(X0,X3)
& cp(X3) ) ) ),
inference(rectify,[],[f24]) ).
fof(f79,plain,
! [X0] :
( cp(X0)
<=> ! [X1] : ~ ra_Px1(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f80,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(ennf_transformation,[],[f27]) ).
fof(f81,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) ),
inference(flattening,[],[f80]) ).
fof(f82,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X1)
| ~ rf1(X0,X2) ),
inference(ennf_transformation,[],[f28]) ).
fof(f83,plain,
! [X0,X1,X2] :
( X1 = X2
| ~ rf1(X0,X1)
| ~ rf1(X0,X2) ),
inference(flattening,[],[f82]) ).
fof(f86,plain,
! [X0,X1] :
( rf(X0,X1)
| ~ rs(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f87,plain,
! [X0,X1] :
( rf1(X0,X1)
| ~ rs(X0,X1) ),
inference(ennf_transformation,[],[f35]) ).
fof(f89,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf1(X0,X1)
| ~ cpxcomp(X1) )
| ! [X2] :
( ~ rs(X0,X2)
| ~ cowlThing(X2) )
| ! [X3] :
( ~ rf(X0,X3)
| ~ cp(X3) ) )
& ( ( ? [X1] :
( rf1(X0,X1)
& cpxcomp(X1) )
& ? [X2] :
( rs(X0,X2)
& cowlThing(X2) )
& ? [X3] :
( rf(X0,X3)
& cp(X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f90,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf1(X0,X1)
| ~ cpxcomp(X1) )
| ! [X2] :
( ~ rs(X0,X2)
| ~ cowlThing(X2) )
| ! [X3] :
( ~ rf(X0,X3)
| ~ cp(X3) ) )
& ( ( ? [X1] :
( rf1(X0,X1)
& cpxcomp(X1) )
& ? [X2] :
( rs(X0,X2)
& cowlThing(X2) )
& ? [X3] :
( rf(X0,X3)
& cp(X3) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf1(X0,X1)
| ~ cpxcomp(X1) )
| ! [X2] :
( ~ rs(X0,X2)
| ~ cowlThing(X2) )
| ! [X3] :
( ~ rf(X0,X3)
| ~ cp(X3) ) )
& ( ( ? [X4] :
( rf1(X0,X4)
& cpxcomp(X4) )
& ? [X5] :
( rs(X0,X5)
& cowlThing(X5) )
& ? [X6] :
( rf(X0,X6)
& cp(X6) ) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f90]) ).
fof(f92,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf1(X0,X1)
| ~ cpxcomp(X1) )
| ! [X2] :
( ~ rs(X0,X2)
| ~ cowlThing(X2) )
| ! [X3] :
( ~ rf(X0,X3)
| ~ cp(X3) ) )
& ( ( rf1(X0,sK0(X0))
& cpxcomp(sK0(X0))
& rs(X0,sK1(X0))
& cowlThing(sK1(X0))
& rf(X0,sK2(X0))
& cp(sK2(X0)) )
| ~ cUnsatisfiable(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X4,sK0(X0)),skolemize(X5,sK1(X0)),skolemize(X6,sK2(X0))],[f91]) ).
fof(f93,plain,
! [X0] :
( ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X1] : ~ ra_Px1(X0,X1)
| ~ cp(X0) ) ),
inference(nnf_transformation,[],[f79]) ).
fof(f94,plain,
! [X0] :
( ( cp(X0)
| ? [X1] : ra_Px1(X0,X1) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp(X0) ) ),
inference(rectify,[],[f93]) ).
fof(f95,plain,
! [X0] :
( ( cp(X0)
| ra_Px1(X0,sK3(X0)) )
& ( ! [X2] : ~ ra_Px1(X0,X2)
| ~ cp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f94]) ).
fof(f96,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X1] : ra_Px1(X0,X1)
| ~ cpxcomp(X0) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f97,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ? [X2] : ra_Px1(X0,X2)
| ~ cpxcomp(X0) ) ),
inference(rectify,[],[f96]) ).
fof(f98,plain,
! [X0] :
( ( cpxcomp(X0)
| ! [X1] : ~ ra_Px1(X0,X1) )
& ( ra_Px1(X0,sK4(X0))
| ~ cpxcomp(X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0))],[f97]) ).
fof(f127,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cp(sK2(X0)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f128,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf(X0,sK2(X0)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f130,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rs(X0,sK1(X0)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f131,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| cpxcomp(sK0(X0)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f132,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rf1(X0,sK0(X0)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f134,plain,
! [X2,X0] :
( ~ cp(X0)
| ~ ra_Px1(X0,X2) ),
inference(cnf_transformation,[],[f95]) ).
fof(f135,plain,
! [X0] :
( cp(X0)
| ra_Px1(X0,sK3(X0)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f136,plain,
! [X0] :
( ~ cpxcomp(X0)
| ra_Px1(X0,sK4(X0)) ),
inference(cnf_transformation,[],[f98]) ).
fof(f138,plain,
! [X2,X0,X1] :
( ~ rf(X0,X1)
| X1 = X2
| ~ rf(X0,X2) ),
inference(cnf_transformation,[],[f81]) ).
fof(f139,plain,
! [X2,X0,X1] :
( ~ rf1(X0,X1)
| X1 = X2
| ~ rf1(X0,X2) ),
inference(cnf_transformation,[],[f83]) ).
fof(f147,plain,
cUnsatisfiable(i2003_11_14_17_21_15425),
inference(cnf_transformation,[],[f33]) ).
fof(f148,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf(X0,X1) ),
inference(cnf_transformation,[],[f86]) ).
fof(f149,plain,
! [X0,X1] :
( ~ rs(X0,X1)
| rf1(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
fof(f151,plain,
cp(sK2(i2003_11_14_17_21_15425)),
inference(resolution,[],[f127,f147]) ).
fof(f153,plain,
cpxcomp(sK0(i2003_11_14_17_21_15425)),
inference(resolution,[],[f131,f147]) ).
fof(f154,plain,
! [X0] : ~ ra_Px1(sK2(i2003_11_14_17_21_15425),X0),
inference(resolution,[],[f134,f151]) ).
fof(f155,plain,
rf(i2003_11_14_17_21_15425,sK2(i2003_11_14_17_21_15425)),
inference(resolution,[],[f128,f147]) ).
fof(f156,plain,
rs(i2003_11_14_17_21_15425,sK1(i2003_11_14_17_21_15425)),
inference(resolution,[],[f130,f147]) ).
fof(f157,plain,
rf1(i2003_11_14_17_21_15425,sK0(i2003_11_14_17_21_15425)),
inference(resolution,[],[f132,f147]) ).
fof(f158,plain,
! [X0,X1] :
( ~ ra_Px1(X0,X1)
| ra_Px1(X0,sK3(X0)) ),
inference(resolution,[],[f135,f134]) ).
fof(f159,plain,
ra_Px1(sK0(i2003_11_14_17_21_15425),sK4(sK0(i2003_11_14_17_21_15425))),
inference(resolution,[],[f136,f153]) ).
fof(f165,plain,
rf(i2003_11_14_17_21_15425,sK1(i2003_11_14_17_21_15425)),
inference(resolution,[],[f148,f156]) ).
fof(f167,plain,
rf1(i2003_11_14_17_21_15425,sK1(i2003_11_14_17_21_15425)),
inference(resolution,[],[f149,f156]) ).
fof(f185,plain,
ra_Px1(sK0(i2003_11_14_17_21_15425),sK3(sK0(i2003_11_14_17_21_15425))),
inference(resolution,[],[f158,f159]) ).
fof(f218,plain,
! [X0] :
( ~ rf(i2003_11_14_17_21_15425,X0)
| sK2(i2003_11_14_17_21_15425) = X0 ),
inference(resolution,[],[f138,f155]) ).
fof(f221,plain,
sK2(i2003_11_14_17_21_15425) = sK1(i2003_11_14_17_21_15425),
inference(resolution,[],[f218,f165]) ).
fof(f222,plain,
! [X0] :
( ~ rf1(i2003_11_14_17_21_15425,X0)
| sK0(i2003_11_14_17_21_15425) = X0 ),
inference(resolution,[],[f139,f157]) ).
fof(f225,plain,
! [X0] : ~ ra_Px1(sK1(i2003_11_14_17_21_15425),X0),
inference(superposition,[],[f154,f221]) ).
fof(f238,plain,
sK1(i2003_11_14_17_21_15425) = sK0(i2003_11_14_17_21_15425),
inference(resolution,[],[f222,f167]) ).
fof(f248,plain,
! [X0] : ~ ra_Px1(sK0(i2003_11_14_17_21_15425),X0),
inference(superposition,[],[f225,f238]) ).
fof(f285,plain,
$false,
inference(resolution,[],[f248,f185]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS111+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n016.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 13:29:47 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.11/0.44 % (2652966)Will run a generic schedule for satisfiability detection.
% 0.11/0.44 % (2652976)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=743694073:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.44 % (2652976) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2652966-2652976"...
% 0.11/0.44 % (2652976)...printing done.
% 0.11/0.44 % (2652976)Refutation found. Thanks to Tanya!
% 0.11/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.44 % (2652976)------------------------------
% 0.11/0.44 % (2652976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.44 % (2652976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.44 % (2652976)CaDiCaL version: 2.1.3
% 0.11/0.44 % (2652976)Termination reason: Refutation
% 0.11/0.44 % (2652976)Time elapsed: 0.003 s
% 0.11/0.44 % (2652976)Peak memory usage: 12 MB
% 0.11/0.44 % (2652976)Instructions burned: 7 (million)
% 0.11/0.44 % (2652966)Success in time 0.033 s
% 0.11/0.44 % Vampire exiting
%------------------------------------------------------------------------------