%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : KRS083+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 : 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 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 83 ( 15 unt; 4 def)
% Number of atoms : 196 ( 13 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 191 ( 78 ~; 82 |; 16 &)
% ( 10 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 75 ( 0 sgn 68 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f16,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).
fof(f18,axiom,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( rinvR(X0,X1)
=> ? [X2] :
( rinvF(X1,X2)
& cd(X2) ) )
& ~ cc(X0)
& ? [X1] :
( rinvF(X0,X1)
& cd(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).
fof(f19,axiom,
! [X0] :
( cd(X0)
<=> ( ? [X1] :
( rf(X0,X1)
& ~ cc(X1) )
& cc(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).
fof(f20,axiom,
! [X0] :
( cowlThing(X0)
=> ! [X1,X2] :
( ( rf(X0,X1)
& rf(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_4) ).
fof(f21,axiom,
! [X0,X1] :
( rinvF(X0,X1)
<=> rf(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).
fof(f22,axiom,
! [X0,X1] :
( rinvR(X0,X1)
<=> rr(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_6) ).
fof(f24,axiom,
cUnsatisfiable(i2003_11_14_17_19_32337),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_8) ).
fof(f25,axiom,
! [X0,X1] :
( rf(X0,X1)
=> rr(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_9) ).
fof(f26,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( rinvR(X0,X1)
=> ? [X2] :
( rinvF(X1,X2)
& cd(X2) ) )
& ~ cc(X0)
& ? [X3] :
( rinvF(X0,X3)
& cd(X3) ) ) ),
inference(rectify,[],[f18]) ).
fof(f57,plain,
! [X0] :
( cUnsatisfiable(X0)
<=> ( ! [X1] :
( ? [X2] :
( rinvF(X1,X2)
& cd(X2) )
| ~ rinvR(X0,X1) )
& ~ cc(X0)
& ? [X3] :
( rinvF(X0,X3)
& cd(X3) ) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f58,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) )
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f59,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ~ rf(X0,X1)
| ~ rf(X0,X2) )
| ~ cowlThing(X0) ),
inference(flattening,[],[f58]) ).
fof(f62,plain,
! [X0,X1] :
( rr(X0,X1)
| ~ rf(X0,X1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f79,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f16]) ).
fof(f83,plain,
! [X0,X1] :
( ~ rinvR(X0,X1)
| cd(sK2(X1))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f84,plain,
! [X0,X1] :
( ~ rinvR(X0,X1)
| rinvF(X1,sK2(X1))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f86,plain,
! [X0] :
( cd(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f87,plain,
! [X0] :
( rinvF(X0,sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f57]) ).
fof(f90,plain,
! [X0] :
( ~ cc(sK3(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f91,plain,
! [X0] :
( rf(X0,sK3(X0))
| ~ cd(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f92,plain,
! [X0] :
( cc(X0)
| ~ cd(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f93,plain,
! [X2,X0,X1] :
( ~ cowlThing(X0)
| ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(cnf_transformation,[],[f59]) ).
fof(f95,plain,
! [X0,X1] :
( ~ rinvF(X0,X1)
| rf(X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f96,plain,
! [X0,X1] :
( ~ rr(X1,X0)
| rinvR(X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f99,plain,
cUnsatisfiable(i2003_11_14_17_19_32337),
inference(cnf_transformation,[],[f24]) ).
fof(f100,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| rr(X0,X1) ),
inference(cnf_transformation,[],[f62]) ).
fof(f120,plain,
! [X0] : ~ cowlThing(X0),
inference(consistent_polarity_flipping,[],[f79]) ).
fof(f124,plain,
! [X0] :
( ~ cd(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f86]) ).
fof(f126,plain,
! [X0,X1] :
( ~ cd(sK2(X1))
| ~ rinvR(X0,X1)
| ~ cUnsatisfiable(X0) ),
inference(consistent_polarity_flipping,[],[f83]) ).
fof(f128,plain,
! [X0] :
( cc(X0)
| cd(X0) ),
inference(consistent_polarity_flipping,[],[f92]) ).
fof(f129,plain,
! [X0] :
( rf(X0,sK3(X0))
| cd(X0) ),
inference(consistent_polarity_flipping,[],[f91]) ).
fof(f130,plain,
! [X0] :
( ~ cc(sK3(X0))
| cd(X0) ),
inference(consistent_polarity_flipping,[],[f90]) ).
fof(f132,plain,
! [X2,X0,X1] :
( cowlThing(X0)
| ~ rf(X0,X2)
| ~ rf(X0,X1)
| X1 = X2 ),
inference(consistent_polarity_flipping,[],[f93]) ).
fof(f134,plain,
! [X0] :
( cd(sK3(X0))
| cd(X0) ),
inference(resolution,[],[f130,f128]) ).
fof(f136,plain,
! [X0] :
( rf(sK0(X0),X0)
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f95,f87]) ).
fof(f138,plain,
! [X0] :
( rr(X0,sK3(X0))
| cd(X0) ),
inference(resolution,[],[f129,f100]) ).
fof(f139,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| rr(sK0(X0),X0) ),
inference(resolution,[],[f136,f100]) ).
fof(f141,plain,
! [X2,X0,X1] :
( ~ rf(X0,X1)
| ~ rf(X0,X2)
| X1 = X2 ),
inference(forward_subsumption_resolution,[],[f132,f120]) ).
fof(f142,plain,
! [X0,X1] :
( ~ rf(X0,X1)
| sK3(X0) = X1
| cd(X0) ),
inference(resolution,[],[f141,f129]) ).
fof(f150,plain,
! [X0] :
( rinvR(sK3(X0),X0)
| cd(X0) ),
inference(resolution,[],[f138,f96]) ).
fof(f152,plain,
! [X0] :
( sK3(sK0(X0)) = X0
| cd(sK0(X0))
| ~ cUnsatisfiable(X0) ),
inference(resolution,[],[f142,f136]) ).
fof(f154,plain,
! [X0] :
( ~ cUnsatisfiable(X0)
| sK3(sK0(X0)) = X0 ),
inference(forward_subsumption_resolution,[],[f152,f124]) ).
fof(f160,plain,
rr(sK0(i2003_11_14_17_19_32337),i2003_11_14_17_19_32337),
inference(resolution,[],[f139,f99]) ).
fof(f161,plain,
! [X0] :
( ~ cUnsatisfiable(sK3(X0))
| rinvF(X0,sK2(X0))
| cd(X0) ),
inference(resolution,[],[f150,f84]) ).
fof(f163,plain,
i2003_11_14_17_19_32337 = sK3(sK0(i2003_11_14_17_19_32337)),
inference(resolution,[],[f154,f99]) ).
fof(f165,plain,
rinvR(i2003_11_14_17_19_32337,sK0(i2003_11_14_17_19_32337)),
inference(resolution,[],[f160,f96]) ).
fof(f181,definition,
( spl4_1
<=> cd(sK0(i2003_11_14_17_19_32337)) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f182,plain,
( ~ cd(sK0(i2003_11_14_17_19_32337))
| spl4_1 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f183,plain,
( cd(sK0(i2003_11_14_17_19_32337))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f201,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_32337)
| rinvF(sK0(i2003_11_14_17_19_32337),sK2(sK0(i2003_11_14_17_19_32337)))
| cd(sK0(i2003_11_14_17_19_32337)) ),
inference(superposition,[],[f161,f163]) ).
fof(f202,plain,
( rinvF(sK0(i2003_11_14_17_19_32337),sK2(sK0(i2003_11_14_17_19_32337)))
| cd(sK0(i2003_11_14_17_19_32337)) ),
inference(forward_subsumption_resolution,[],[f201,f99]) ).
fof(f204,definition,
( spl4_5
<=> rinvF(sK0(i2003_11_14_17_19_32337),sK2(sK0(i2003_11_14_17_19_32337))) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f206,plain,
( rinvF(sK0(i2003_11_14_17_19_32337),sK2(sK0(i2003_11_14_17_19_32337)))
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f204]) ).
fof(f207,plain,
( spl4_1
| spl4_5 ),
inference(avatar_split_clause,[],[f202,f204,f181]) ).
fof(f211,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_32337)
| ~ spl4_1 ),
inference(resolution,[],[f183,f124]) ).
fof(f212,plain,
( $false
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f211,f99]) ).
fof(f213,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f212]) ).
fof(f220,plain,
( rf(sK2(sK0(i2003_11_14_17_19_32337)),sK0(i2003_11_14_17_19_32337))
| ~ spl4_5 ),
inference(resolution,[],[f206,f95]) ).
fof(f234,definition,
( spl4_9
<=> cd(sK2(sK0(i2003_11_14_17_19_32337))) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f235,plain,
( ~ cd(sK2(sK0(i2003_11_14_17_19_32337)))
| spl4_9 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f236,plain,
( cd(sK2(sK0(i2003_11_14_17_19_32337)))
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f234]) ).
fof(f243,plain,
( sK0(i2003_11_14_17_19_32337) = sK3(sK2(sK0(i2003_11_14_17_19_32337)))
| cd(sK2(sK0(i2003_11_14_17_19_32337)))
| ~ spl4_5 ),
inference(resolution,[],[f220,f142]) ).
fof(f247,definition,
( spl4_10
<=> sK0(i2003_11_14_17_19_32337) = sK3(sK2(sK0(i2003_11_14_17_19_32337))) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f249,plain,
( sK0(i2003_11_14_17_19_32337) = sK3(sK2(sK0(i2003_11_14_17_19_32337)))
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f247]) ).
fof(f250,plain,
( spl4_9
| spl4_10
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f243,f204,f247,f234]) ).
fof(f252,plain,
( ! [X0] :
( ~ cUnsatisfiable(X0)
| ~ rinvR(X0,sK0(i2003_11_14_17_19_32337)) )
| ~ spl4_9 ),
inference(resolution,[],[f236,f126]) ).
fof(f262,plain,
( ~ rinvR(i2003_11_14_17_19_32337,sK0(i2003_11_14_17_19_32337))
| ~ spl4_9 ),
inference(resolution,[],[f252,f99]) ).
fof(f263,plain,
( $false
| ~ spl4_9 ),
inference(forward_subsumption_resolution,[],[f262,f165]) ).
fof(f264,plain,
~ spl4_9,
inference(avatar_contradiction_clause,[],[f263]) ).
fof(f269,plain,
( cd(sK0(i2003_11_14_17_19_32337))
| cd(sK2(sK0(i2003_11_14_17_19_32337)))
| ~ spl4_10 ),
inference(superposition,[],[f134,f249]) ).
fof(f280,plain,
( cd(sK2(sK0(i2003_11_14_17_19_32337)))
| spl4_1
| ~ spl4_10 ),
inference(forward_subsumption_resolution,[],[f269,f182]) ).
fof(f283,plain,
( $false
| spl4_1
| spl4_9
| ~ spl4_10 ),
inference(forward_subsumption_resolution,[],[f280,f235]) ).
fof(f284,plain,
( spl4_1
| spl4_9
| ~ spl4_10 ),
inference(avatar_contradiction_clause,[],[f283]) ).
cnf(s4,plain,
( spl4_1
| spl4_5 ),
inference(sat_conversion,[],[f207]) ).
cnf(s5,plain,
~ spl4_1,
inference(sat_conversion,[],[f213]) ).
cnf(s8,plain,
( ~ spl4_5
| spl4_9
| spl4_10 ),
inference(sat_conversion,[],[f250]) ).
cnf(s11,plain,
~ spl4_9,
inference(sat_conversion,[],[f264]) ).
cnf(s12,plain,
( spl4_1
| spl4_9
| ~ spl4_10 ),
inference(sat_conversion,[],[f284]) ).
cnf(s15,plain,
( ~ spl4_5
| spl4_10 ),
inference(rat,[],[s8,s11]) ).
cnf(s17,plain,
~ spl4_10,
inference(rat,[],[s12,s11,s5]) ).
cnf(s18,plain,
~ spl4_5,
inference(rat,[],[s15,s17]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s4,s18,s5]) ).
fof(f286,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS083+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n013.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 13:21:36 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 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
% 0.17/0.47 % (228143)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (228150)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2748609468:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (228149)% WARNING: option uhcvi not known.
% 0.17/0.47 % (228148)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3124817477_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (228149)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3848330477:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (228151)dis+10_1_sil=32000:sp=arity:random_seed=4082930660:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (228152)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=746919573:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % TRYING [1]
% 0.17/0.47 % TRYING [2]
% 0.17/0.47 % TRYING [3]
% 0.17/0.47 % TRYING [4]
% 0.17/0.47 % TRYING [5]
% 0.17/0.47 % (228149) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-228143-228149"...
% 0.17/0.47 % TRYING [6]
% 0.17/0.47 % (228149)...printing done.
% 0.17/0.47 % (228152) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-228143-228152"...
% 0.17/0.47 % (228151) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-228143-228151"...
% 0.17/0.47 % (228149)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (228149)------------------------------
% 0.17/0.47 % (228149)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (228149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (228149)CaDiCaL version: 2.1.3
% 0.17/0.47 % (228149)Termination reason: Refutation
% 0.17/0.47 % (228149)Time elapsed: 0.006 s
% 0.17/0.47 % (228149)Peak memory usage: 12 MB
% 0.17/0.47 % (228149)Instructions burned: 7 (million)
% 0.17/0.47 % (228143)Success in time 0.042 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------