%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ130+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 12:31:39 PM UTC 2026
% Result : Theorem 2.55s 1.31s
% Output : Refutation 2.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 45 ( 21 unt; 0 def)
% Number of atoms : 98 ( 14 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 98 ( 45 ~; 42 |; 3 &)
% ( 3 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
cat(garfield),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',garfield_type) ).
fof(f4,axiom,
dog(odie),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odie_type) ).
fof(f6,axiom,
! [X0] :
( dog(X0)
=> pet(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dog_pet_type) ).
fof(f7,axiom,
! [X0] :
( cat(X0)
=> pet(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cat_pet_type) ).
fof(f9,axiom,
human(jon),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_type) ).
fof(f12,axiom,
owner(jon,odie),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_o_owner_axiom) ).
fof(f13,axiom,
owner(jon,garfield),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_g_owner_axiom) ).
fof(f16,axiom,
! [X0,X1] :
( ( cat(X0)
& dog(X1) )
=> ( chased(X1,X0)
=> hates(owner_of(X0),owner_of(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cat_chase_axiom) ).
fof(f17,axiom,
! [X0,X1] :
( ( human(X0)
& pet(X1) )
=> ( owner(X0,X1)
<=> X0 = owner_of(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owner_def) ).
fof(f18,axiom,
chased(odie,garfield),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',odie_chase_axiom) ).
fof(f19,conjecture,
hates(jon,jon),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',jon_conjecture) ).
fof(f20,negated_conjecture,
~ hates(jon,jon),
inference(negated_conjecture,[status(cth)],[f19]) ).
fof(f23,plain,
~ hates(jon,jon),
inference(flattening,[],[f20]) ).
fof(f24,plain,
! [X0] :
( pet(X0)
| ~ dog(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f25,plain,
! [X0] :
( pet(X0)
| ~ cat(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f30,plain,
! [X0,X1] :
( hates(owner_of(X0),owner_of(X1))
| ~ chased(X1,X0)
| ~ cat(X0)
| ~ dog(X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f31,plain,
! [X0,X1] :
( hates(owner_of(X0),owner_of(X1))
| ~ chased(X1,X0)
| ~ cat(X0)
| ~ dog(X1) ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( ( owner(X0,X1)
<=> X0 = owner_of(X1) )
| ~ human(X0)
| ~ pet(X1) ),
inference(ennf_transformation,[],[f17]) ).
fof(f33,plain,
! [X0,X1] :
( ( owner(X0,X1)
<=> X0 = owner_of(X1) )
| ~ human(X0)
| ~ pet(X1) ),
inference(flattening,[],[f32]) ).
fof(f41,plain,
! [X0,X1] :
( ( ( owner(X0,X1)
| owner_of(X1) != X0 )
& ( X0 = owner_of(X1)
| ~ owner(X0,X1) ) )
| ~ human(X0)
| ~ pet(X1) ),
inference(nnf_transformation,[],[f33]) ).
fof(f43,plain,
cat(garfield),
inference(cnf_transformation,[],[f2]) ).
fof(f45,plain,
dog(odie),
inference(cnf_transformation,[],[f4]) ).
fof(f47,plain,
! [X0] :
( pet(X0)
| ~ dog(X0) ),
inference(cnf_transformation,[],[f24]) ).
fof(f48,plain,
! [X0] :
( pet(X0)
| ~ cat(X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f50,plain,
human(jon),
inference(cnf_transformation,[],[f9]) ).
fof(f54,plain,
owner(jon,odie),
inference(cnf_transformation,[],[f12]) ).
fof(f55,plain,
owner(jon,garfield),
inference(cnf_transformation,[],[f13]) ).
fof(f60,plain,
! [X0,X1] :
( hates(owner_of(X0),owner_of(X1))
| ~ chased(X1,X0)
| ~ cat(X0)
| ~ dog(X1) ),
inference(cnf_transformation,[],[f31]) ).
fof(f61,plain,
! [X0,X1] :
( ~ pet(X1)
| ~ owner(X0,X1)
| ~ human(X0)
| owner_of(X1) = X0 ),
inference(cnf_transformation,[],[f41]) ).
fof(f63,plain,
chased(odie,garfield),
inference(cnf_transformation,[],[f18]) ).
fof(f64,plain,
~ hates(jon,jon),
inference(cnf_transformation,[],[f23]) ).
fof(f126,plain,
! [X0,X1] :
( ~ cat(X1)
| ~ human(X0)
| owner_of(X1) = X0
| ~ owner(X0,X1) ),
inference(resolution,[],[f61,f48]) ).
fof(f127,plain,
! [X0,X1] :
( ~ dog(X1)
| ~ human(X0)
| owner_of(X1) = X0
| ~ owner(X0,X1) ),
inference(resolution,[],[f61,f47]) ).
fof(f131,plain,
! [X0] :
( ~ owner(X0,garfield)
| owner_of(garfield) = X0
| ~ human(X0) ),
inference(resolution,[],[f126,f43]) ).
fof(f133,plain,
! [X0] :
( ~ owner(X0,odie)
| owner_of(odie) = X0
| ~ human(X0) ),
inference(resolution,[],[f127,f45]) ).
fof(f137,plain,
( jon = owner_of(garfield)
| ~ human(jon) ),
inference(resolution,[],[f131,f55]) ).
fof(f139,plain,
jon = owner_of(garfield),
inference(forward_subsumption_resolution,[],[f137,f50]) ).
fof(f143,plain,
! [X0] :
( hates(jon,owner_of(X0))
| ~ chased(X0,garfield)
| ~ cat(garfield)
| ~ dog(X0) ),
inference(superposition,[],[f60,f139]) ).
fof(f144,plain,
! [X0] :
( ~ chased(X0,garfield)
| hates(jon,owner_of(X0))
| ~ dog(X0) ),
inference(forward_subsumption_resolution,[],[f143,f43]) ).
fof(f153,plain,
( jon = owner_of(odie)
| ~ human(jon) ),
inference(resolution,[],[f133,f54]) ).
fof(f155,plain,
jon = owner_of(odie),
inference(forward_subsumption_resolution,[],[f153,f50]) ).
fof(f171,plain,
( hates(jon,owner_of(odie))
| ~ dog(odie) ),
inference(resolution,[],[f144,f63]) ).
fof(f172,plain,
hates(jon,owner_of(odie)),
inference(forward_subsumption_resolution,[],[f171,f45]) ).
fof(f173,plain,
hates(jon,jon),
inference(forward_demodulation,[],[f172,f155]) ).
fof(f174,plain,
$false,
inference(forward_subsumption_resolution,[],[f173,f64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ130+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n009.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 22:45:00 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 2.55/1.31 % (2482087)Detected formulas, will run a generic FOF schedule.
% 2.55/1.31 % (2482097)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3967541244:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.55/1.31 % (2482097)First to succeed.
% 2.55/1.31 % (2482097)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2482087"
% 2.55/1.31 % (2482096)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3501777560:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.55/1.31 % (2482096)Also succeeded, but the first one will report.
% 2.55/1.31 % (2482098)dis-21_1_sil=8000:lcm=predicate:random_seed=3723297952: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)
% 2.55/1.31 % (2482092)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=3690935858:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.55/1.31 % (2482095)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=427846729:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.55/1.31 % (2482093)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=1873414886:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.55/1.31 % (2482094)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=4102614531:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.55/1.31 % (2482095)Refutation not found, incomplete strategy
% 2.55/1.31 % (2482095)------------------------------
% 2.55/1.31 % (2482095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.31 % (2482095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.31 % (2482095)CaDiCaL version: 2.1.3
% 2.55/1.31 % (2482095)Termination reason: Refutation not found, incomplete strategy
% 2.55/1.31 % (2482095)Time elapsed: 0.0000 s
% 2.55/1.31 % (2482095)Peak memory usage: 87 MB
% 2.55/1.31 % (2482098)Refutation not found, incomplete strategy
% 2.55/1.31 % (2482098)------------------------------
% 2.55/1.31 % (2482098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.31 % (2482098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.31 % (2482098)CaDiCaL version: 2.1.3
% 2.55/1.31 % (2482098)Termination reason: Refutation not found, incomplete strategy
% 2.55/1.31 % (2482098)Time elapsed: 0.002 s
% 2.55/1.31 % (2482098)Peak memory usage: 88 MB
% 2.55/1.31 % (2482098)Instructions burned: 1 (million)
% 2.55/1.31 % (2482097)Refutation found. Thanks to Tanya!
% 2.55/1.31 % SZS status Theorem for theBenchmark
% 2.55/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 2.55/1.31 % (2482097)------------------------------
% 2.55/1.31 % (2482097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.55/1.31 % (2482097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.55/1.31 % (2482097)CaDiCaL version: 2.1.3
% 2.55/1.31 % (2482097)Termination reason: Refutation
% 2.55/1.31 % (2482097)Time elapsed: 0.003 s
% 2.55/1.31 % (2482097)Peak memory usage: 89 MB
% 2.55/1.31 % (2482097)Instructions burned: 4 (million)
% 2.55/1.31 % (2482097)------------------------------
% 2.55/1.31 % (2482097)------------------------------
% 2.55/1.31 % (2482087)Success in time 0.277 s
% 2.55/1.31 % Vampire exiting
%------------------------------------------------------------------------------