%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : KRS089+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 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 11:41:37 AM UTC 2026
% Result : Unsatisfiable 3.48s 1.45s
% Output : Refutation 3.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 51 ( 13 unt; 1 def)
% Number of atoms : 148 ( 70 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 158 ( 61 ~; 70 |; 22 &)
% ( 2 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 79 ( 0 sgn 71 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] :
( cowlThing(X0)
& ~ cowlNothing(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).
fof(f14,axiom,
! [X0] :
( cUnsatisfiable(X0)
=> ? [X1,X2,X3] :
( rr(X0,X1)
& rr(X0,X2)
& rr(X0,X3)
& X1 != X2
& X1 != X3
& X2 != X3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).
fof(f15,axiom,
! [X0] :
( cowlThing(X0)
=> ? [X1] :
( rp(X0,X1)
& X1 = ispy ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).
fof(f16,axiom,
! [X0,X1] :
( rp(X0,X1)
<=> rinvP(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).
fof(f17,axiom,
! [X0,X1,X2] :
( ( rinvP(ispy,X0)
& rinvP(ispy,X1)
& rinvP(ispy,X2) )
=> ( X0 = X1
| X0 = X2
| X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).
fof(f19,axiom,
cUnsatisfiable(i2003_11_14_17_19_53168),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).
fof(f42,plain,
! [X0] :
( ? [X1,X2,X3] :
( rr(X0,X1)
& rr(X0,X2)
& rr(X0,X3)
& X1 != X2
& X1 != X3
& X2 != X3 )
| ~ cUnsatisfiable(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f43,plain,
! [X0] :
( ? [X1] :
( rp(X0,X1)
& X1 = ispy )
| ~ cowlThing(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f44,plain,
! [X0,X1,X2] :
( X0 = X1
| X0 = X2
| X1 = X2
| ~ rinvP(ispy,X0)
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X2) ),
inference(ennf_transformation,[],[f17]) ).
fof(f45,plain,
! [X0,X1,X2] :
( X0 = X1
| X0 = X2
| X1 = X2
| ~ rinvP(ispy,X0)
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X2) ),
inference(flattening,[],[f44]) ).
fof(f47,plain,
! [X0] :
( ( rr(X0,sK0(X0))
& rr(X0,sK1(X0))
& rr(X0,sK2(X0))
& sK0(X0) != sK1(X0)
& sK0(X0) != sK2(X0)
& sK1(X0) != sK2(X0) )
| ~ cUnsatisfiable(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0)),skolemize(X3,sK2(X0))],[f42]) ).
fof(f48,plain,
! [X0] :
( ( rp(X0,sK3(X0))
& ispy = sK3(X0) )
| ~ cowlThing(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X1,sK3(X0))],[f43]) ).
fof(f49,plain,
! [X0,X1] :
( ( rp(X0,X1)
| ~ rinvP(X1,X0) )
& ( rinvP(X1,X0)
| ~ rp(X0,X1) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f62,plain,
! [X0] : cowlThing(X0),
inference(cnf_transformation,[],[f12]) ).
fof(f65,plain,
! [X0] :
( sK1(X0) != sK2(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f66,plain,
! [X0] :
( sK0(X0) != sK2(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f67,plain,
! [X0] :
( sK0(X0) != sK1(X0)
| ~ cUnsatisfiable(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f71,plain,
! [X0] :
( ispy = sK3(X0)
| ~ cowlThing(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f72,plain,
! [X0] :
( rp(X0,sK3(X0))
| ~ cowlThing(X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f73,plain,
! [X0,X1] :
( rinvP(X1,X0)
| ~ rp(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f75,plain,
! [X2,X0,X1] :
( ~ rinvP(ispy,X2)
| X0 = X2
| X1 = X2
| ~ rinvP(ispy,X0)
| ~ rinvP(ispy,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f45]) ).
fof(f77,plain,
cUnsatisfiable(i2003_11_14_17_19_53168),
inference(cnf_transformation,[],[f19]) ).
fof(f89,plain,
! [X0] : ispy = sK3(X0),
inference(forward_subsumption_resolution,[],[f71,f62]) ).
fof(f90,plain,
! [X0] : rp(X0,sK3(X0)),
inference(forward_subsumption_resolution,[],[f72,f62]) ).
fof(f91,plain,
! [X0] : rp(X0,ispy),
inference(forward_demodulation,[],[f90,f89]) ).
fof(f92,plain,
! [X2,X0,X1] :
( X0 = X1
| X1 = X2
| ~ rinvP(ispy,X0)
| ~ rinvP(ispy,X2)
| X0 = X2
| ~ rp(X1,ispy) ),
inference(resolution,[],[f75,f73]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ rinvP(ispy,X0)
| X1 = X2
| X0 = X1
| ~ rinvP(ispy,X2)
| X0 = X2 ),
inference(forward_subsumption_resolution,[],[f92,f91]) ).
fof(f98,plain,
! [X2,X0,X1] :
( X0 = X1
| X0 = X2
| ~ rinvP(ispy,X1)
| X1 = X2
| ~ rp(X2,ispy) ),
inference(resolution,[],[f97,f73]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ rinvP(ispy,X1)
| X0 = X2
| X0 = X1
| X1 = X2 ),
inference(forward_subsumption_resolution,[],[f98,f91]) ).
fof(f102,plain,
! [X2,X0,X1] :
( X0 = X1
| X0 = X2
| X1 = X2
| ~ rp(X2,ispy) ),
inference(resolution,[],[f101,f73]) ).
fof(f103,plain,
! [X2,X0,X1] :
( X1 = X2
| X0 = X2
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f102,f91]) ).
fof(f110,plain,
! [X2,X0,X1] :
( ~ cUnsatisfiable(X1)
| sK0(X1) != X0
| X0 = X2
| sK1(X1) = X2 ),
inference(superposition,[],[f67,f103]) ).
fof(f112,plain,
! [X2,X0,X1] :
( ~ cUnsatisfiable(X1)
| sK0(X1) != X0
| X0 = X2
| sK2(X1) = X2 ),
inference(superposition,[],[f66,f103]) ).
fof(f134,plain,
! [X0,X1] :
( sK0(i2003_11_14_17_19_53168) != X0
| X0 = X1
| sK1(i2003_11_14_17_19_53168) = X1 ),
inference(resolution,[],[f110,f77]) ).
fof(f136,plain,
! [X0,X1] :
( sK0(i2003_11_14_17_19_53168) != X0
| X0 = X1
| sK2(i2003_11_14_17_19_53168) = X1 ),
inference(resolution,[],[f112,f77]) ).
fof(f142,plain,
! [X0] :
( sK1(i2003_11_14_17_19_53168) = X0
| sK0(i2003_11_14_17_19_53168) = X0 ),
inference(equality_resolution,[],[f134]) ).
fof(f161,definition,
( spl4_1
<=> ! [X0] : sK0(i2003_11_14_17_19_53168) = X0 ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f162,plain,
( ! [X0] : sK0(i2003_11_14_17_19_53168) = X0
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f161]) ).
fof(f181,plain,
! [X0] :
( sK2(i2003_11_14_17_19_53168) = X0
| sK0(i2003_11_14_17_19_53168) = X0 ),
inference(equality_resolution,[],[f136]) ).
fof(f195,plain,
! [X0] :
( sK1(i2003_11_14_17_19_53168) != X0
| ~ cUnsatisfiable(i2003_11_14_17_19_53168)
| sK0(i2003_11_14_17_19_53168) = X0 ),
inference(superposition,[],[f65,f181]) ).
fof(f211,plain,
! [X0] :
( ~ cUnsatisfiable(i2003_11_14_17_19_53168)
| sK0(i2003_11_14_17_19_53168) = X0 ),
inference(forward_subsumption_resolution,[],[f195,f142]) ).
fof(f213,plain,
! [X0] : sK0(i2003_11_14_17_19_53168) = X0,
inference(forward_subsumption_resolution,[],[f211,f77]) ).
fof(f215,plain,
spl4_1,
inference(avatar_split_clause,[],[f213,f161]) ).
fof(f238,plain,
( ! [X0] :
( sK1(X0) != sK0(i2003_11_14_17_19_53168)
| ~ cUnsatisfiable(X0) )
| ~ spl4_1 ),
inference(superposition,[],[f65,f162]) ).
fof(f247,plain,
( ! [X0] : ~ cUnsatisfiable(X0)
| ~ spl4_1 ),
inference(forward_subsumption_resolution,[],[f238,f162]) ).
fof(f257,plain,
( $false
| ~ spl4_1 ),
inference(resolution,[],[f247,f77]) ).
fof(f259,plain,
~ spl4_1,
inference(avatar_contradiction_clause,[],[f257]) ).
cnf(s4,plain,
spl4_1,
inference(sat_conversion,[],[f215]) ).
cnf(s6,plain,
~ spl4_1,
inference(sat_conversion,[],[f259]) ).
cnf(s7,plain,
$false,
inference(rat,[],[s4,s6]) ).
fof(f260,plain,
$false,
inference(avatar_sat_refutation,[],[s7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS089+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n006.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 13:21:40 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.48/1.45 % (2974661)Detected formulas, will run a generic FOF schedule.
% 3.48/1.45 % (2974781)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1541369433:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.48/1.45 % (2974781)Refutation not found, incomplete strategy
% 3.48/1.45 % (2974781)------------------------------
% 3.48/1.45 % (2974781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.45 % (2974781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.45 % (2974781)CaDiCaL version: 2.1.3
% 3.48/1.45 % (2974781)Termination reason: Refutation not found, incomplete strategy
% 3.48/1.45 % (2974781)Time elapsed: 0.0000 s
% 3.48/1.45 % (2974781)Peak memory usage: 86 MB
% 3.48/1.45 % (2974780)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2976426416:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.48/1.45 % (2974779)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=143894766:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.48/1.45 % (2974780)Refutation not found, incomplete strategy
% 3.48/1.45 % (2974780)------------------------------
% 3.48/1.45 % (2974780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.45 % (2974780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.45 % (2974780)CaDiCaL version: 2.1.3
% 3.48/1.45 % (2974780)Termination reason: Refutation not found, incomplete strategy
% 3.48/1.45 % (2974780)Time elapsed: 0.0000 s
% 3.48/1.45 % (2974780)Peak memory usage: 86 MB
% 3.48/1.45 % (2974782)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=694396613:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.48/1.45 % (2974777)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4278267343:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.48/1.45 % (2974778)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1585935753:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.48/1.45 % (2974782)First to succeed.
% 3.48/1.45 % (2974782)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2974661"
% 3.48/1.45 % (2974783)dis-21_1_sil=8000:lcm=predicate:random_seed=3386093925:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.48/1.45 % (2974783)Refutation not found, incomplete strategy
% 3.48/1.45 % (2974783)------------------------------
% 3.48/1.45 % (2974783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.45 % (2974783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.45 % (2974783)CaDiCaL version: 2.1.3
% 3.48/1.45 % (2974783)Termination reason: Refutation not found, incomplete strategy
% 3.48/1.45 % (2974783)Time elapsed: 0.002 s
% 3.48/1.45 % (2974783)Peak memory usage: 88 MB
% 3.48/1.45 % (2974783)Instructions burned: 2 (million)
% 3.48/1.45 % (2974781)------------------------------
% 3.48/1.45 % (2974781)------------------------------
% 3.48/1.45 % (2974791)lrs+10_1_sil=8000:sp=occurrence:random_seed=2152336088:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.48/1.45 % (2974791)Refutation not found, incomplete strategy
% 3.48/1.45 % (2974791)------------------------------
% 3.48/1.45 % (2974791)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.45 % (2974791)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.45 % (2974791)CaDiCaL version: 2.1.3
% 3.48/1.45 % (2974791)Termination reason: Refutation not found, incomplete strategy
% 3.48/1.45 % (2974791)Time elapsed: 0.0000 s
% 3.48/1.45 % (2974791)Peak memory usage: 86 MB
% 3.48/1.45 % (2974780)------------------------------
% 3.48/1.45 % (2974780)------------------------------
% 3.48/1.45 % (2974782)Refutation found. Thanks to Tanya!
% 3.48/1.45 % SZS status Unsatisfiable for theBenchmark
% 3.48/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 3.48/1.45 % (2974782)------------------------------
% 3.48/1.45 % (2974782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.45 % (2974782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.45 % (2974782)CaDiCaL version: 2.1.3
% 3.48/1.45 % (2974782)Termination reason: Refutation
% 3.48/1.45 % (2974782)Time elapsed: 0.009 s
% 3.48/1.45 % (2974782)Peak memory usage: 90 MB
% 3.48/1.45 % (2974782)Instructions burned: 11 (million)
% 3.48/1.45 % (2974782)------------------------------
% 3.48/1.45 % (2974782)------------------------------
% 3.48/1.45 % (2974661)Success in time 0.401 s
% 3.48/1.45 % Vampire exiting
%------------------------------------------------------------------------------