%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS086+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 : n006.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 0.11s 0.44s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 6 unt; 0 def)
% Number of atoms : 97 ( 9 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 117 ( 48 ~; 43 |; 22 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 54 ( 45 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f15,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f17,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ? [X1] :
( rf(X0,X1)
& ? [X2] :
( rinvF(X1,X2)
& ? [X3] :
( rf(X2,X3)
& ~ cp1(X3) ) )
& cp1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f18,axiom,
! [X0] :
( cowlThing(X0)
=> ! [X1,X2] :
( ( rf(X0,X1)
& rf(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f19,axiom,
! [X0,X1] :
( rinvF(X0,X1)
<=> rf(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f22,axiom,
cUnsatisfiable(i2003_11_14_17_19_42328),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f51,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) )
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f52,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) )
| ~ cowlThing(X0) ),
inference(flattening,[],[f51]) ).
fof(f56,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ! [X2] :
( ~ rinvF(X1,X2)
| ! [X3] :
( ~ rf(X2,X3)
| cp1(X3) ) )
| ~ cp1(X1) ) )
& ( ? [X1] :
( rf(X0,X1)
& ? [X2] :
( rinvF(X1,X2)
& ? [X3] :
( rf(X2,X3)
& ~ cp1(X3) ) )
& cp1(X1) )
| ~ cUnsatisfiable(X0) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f57,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ! [X2] :
( ~ rinvF(X1,X2)
| ! [X3] :
( ~ rf(X2,X3)
| cp1(X3) ) )
| ~ cp1(X1) ) )
& ( ? [X4] :
( rf(X0,X4)
& ? [X5] :
( rinvF(X4,X5)
& ? [X6] :
( rf(X5,X6)
& ~ cp1(X6) ) )
& cp1(X4) )
| ~ cUnsatisfiable(X0) ) ),
inference(rectify,[],[f56]) ).
fof(f58,plain,
! [X0] :
( ( cUnsatisfiable(X0)
| ! [X1] :
( ~ rf(X0,X1)
| ! [X2] :
( ~ rinvF(X1,X2)
| ! [X3] :
( ~ rf(X2,X3)
| cp1(X3) ) )
| ~ cp1(X1) ) )
& ( ( rf(X0,sK0(X0))
& rinvF(sK0(X0),sK1(X0))
& rf(sK1(X0),sK2(X0))
& ~ cp1(sK2(X0))
& cp1(sK0(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))],[f57]) ).
fof(f59,plain,
! [X0,X1] :
( ( rinvF(X0,X1)
| ~ rf(X1,X0) )
& ( rf(X1,X0)
| ~ rinvF(X0,X1) ) ),
inference(nnf_transformation,[],[f19]) ).
fof(f76,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f15]) ).
fof(f79,plain,
! [X0] :
( cp1(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f80,plain,
! [X0] :
( ~ cp1(sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f81,plain,
! [X0] :
( rf(sK1(X0),sK2(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f82,plain,
! [X0] :
( rinvF(sK0(X0),sK1(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f85,plain,
! [X2,X0,X1] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2)
| ~ cowlThing(X0) ),
inference(cnf_transformation,[],[f52]) ).
fof(f86,plain,
! [X0,X1] :
( ~ rinvF(X0,X1)
| rf(X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f91,plain,
cUnsatisfiable(i2003_11_14_17_19_42328),
inference(cnf_transformation,[],[f22]) ).
fof(f110,plain,
! [X0] :
( rf(sK1(X0),sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f82,f86]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(forward_subsumption_resolution,[],[f85,f76]) ).
fof(f115,plain,
! [X0,X1] :
( ~ rf(sK1(X0),X1)
| sK2(X0) = X1
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f112,f81]) ).
fof(f127,plain,
! [X0] :
( sK0(X0) = sK2(X0)
| ~ cUnsatisfiable(X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f115,f110]) ).
fof(f129,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK0(X0) = sK2(X0) ),
inference(duplicate_literal_removal,[],[f127]) ).
fof(f137,plain,
sK0(i2003_11_14_17_19_42328) = sK2(i2003_11_14_17_19_42328),
inference(resolution,[],[f129,f91]) ).
fof(f144,plain,
( ~ cp1(sK0(i2003_11_14_17_19_42328))
| ~ cUnsatisfiable(i2003_11_14_17_19_42328) ),
inference(superposition,[],[f80,f137]) ).
fof(f145,plain,
~ cUnsatisfiable(i2003_11_14_17_19_42328),
inference(forward_subsumption_resolution,[],[f144,f79]) ).
fof(f146,plain,
$false,
inference(forward_subsumption_resolution,[],[f145,f91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : KRS086+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n006.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 13:21:55 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.11/0.44 % (2975500)Will run a generic schedule for satisfiability detection.
% 0.11/0.44 % (2975508)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1334865612_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.44 % TRYING [1]
% 0.11/0.44 % TRYING [2]
% 0.11/0.44 % TRYING [3]
% 0.11/0.44 % TRYING [4]
% 0.11/0.44 % TRYING [5]
% 0.11/0.44 % TRYING [6]
% 0.11/0.44 % TRYING [7]
% 0.11/0.44 % TRYING [8]
% 0.11/0.44 % (2975509)% WARNING: option uhcvi not known.
% 0.11/0.44 % TRYING [9]
% 0.11/0.44 % TRYING [10]
% 0.11/0.44 % (2975513)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2035888684:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.44 % (2975510)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1942524267:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.44 % (2975512)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=716508782:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.44 % (2975511)dis+10_1_sil=32000:sp=arity:random_seed=557013012:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.44 % (2975509)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=563813317:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.44 % (2975514)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1741646669:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.44 % (2975511) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2975500-2975511"...
% 0.11/0.44 % TRYING [11]
% 0.11/0.44 % (2975509) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2975500-2975509"...
% 0.11/0.44 % (2975513) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2975500-2975513"...
% 0.11/0.44 % (2975514) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2975500-2975514"...
% 0.11/0.44 % (2975512) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2975500-2975512"...
% 0.11/0.44 % (2975511)...printing done.
% 0.11/0.44 % (2975509)...printing done.
% 0.11/0.44 % (2975513)...printing done.
% 0.11/0.44 % (2975512)...printing done.
% 0.11/0.44 % (2975514)...printing done.
% 0.11/0.44 % (2975511)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 % (2975511)------------------------------
% 0.11/0.44 % (2975511)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.44 % (2975511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.44 % (2975511)CaDiCaL version: 2.1.3
% 0.11/0.44 % (2975511)Termination reason: Refutation
% 0.11/0.44 % (2975511)Time elapsed: 0.003 s
% 0.11/0.44 % (2975511)Peak memory usage: 12 MB
% 0.11/0.44 % (2975511)Instructions burned: 3 (million)
% 0.11/0.44 % (2975500)Success in time 0.028 s
% 0.11/0.44 % Vampire exiting
%------------------------------------------------------------------------------