%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ061+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 : n011.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 12:31:26 PM UTC 2026
% Result : Theorem 2.50s 1.32s
% Output : Refutation 2.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 6 unt; 0 def)
% Number of atoms : 120 ( 0 equ)
% Maximal formula atoms : 17 ( 7 avg)
% Number of connectives : 139 ( 36 ~; 28 |; 57 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 9 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 85 ( 70 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2,X3,X4,X5] :
( ( ! [X6,X7] :
( ( alive(X7)
& eats(X7,X5) )
=> likes(X7,X6) )
& ! [X6] :
( food(X6)
=> likes(X1,X6) )
& food(X4)
& food(X5)
& ! [X6] :
( ? [X7] :
( eats(X7,X6)
& not_killed_by(X7,X6) )
=> food(X6) )
& eats(X2,X0)
& alive(X2)
& ! [X6] :
( eats(X2,X6)
=> eats(X3,X6) )
& ! [X7] :
( alive(X7)
=> ! [X6] : not_killed_by(X7,X6) ) )
=> likes(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( ! [X6,X7] :
( ( alive(X7)
& eats(X7,X5) )
=> likes(X7,X6) )
& ! [X6] :
( food(X6)
=> likes(X1,X6) )
& food(X4)
& food(X5)
& ! [X6] :
( ? [X7] :
( eats(X7,X6)
& not_killed_by(X7,X6) )
=> food(X6) )
& eats(X2,X0)
& alive(X2)
& ! [X6] :
( eats(X2,X6)
=> eats(X3,X6) )
& ! [X7] :
( alive(X7)
=> ! [X6] : not_killed_by(X7,X6) ) )
=> likes(X1,X0) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
~ ! [X0,X1,X2,X3,X4,X5] :
( ( ! [X6,X7] :
( ( alive(X7)
& eats(X7,X5) )
=> likes(X7,X6) )
& ! [X8] :
( food(X8)
=> likes(X1,X8) )
& food(X4)
& food(X5)
& ! [X9] :
( ? [X10] :
( eats(X10,X9)
& not_killed_by(X10,X9) )
=> food(X9) )
& eats(X2,X0)
& alive(X2)
& ! [X11] :
( eats(X2,X11)
=> eats(X3,X11) )
& ! [X12] :
( alive(X12)
=> ! [X13] : not_killed_by(X12,X13) ) )
=> likes(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f4,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ likes(X1,X0)
& ! [X6,X7] :
( likes(X7,X6)
| ~ alive(X7)
| ~ eats(X7,X5) )
& ! [X8] :
( likes(X1,X8)
| ~ food(X8) )
& food(X4)
& food(X5)
& ! [X9] :
( food(X9)
| ! [X10] :
( ~ eats(X10,X9)
| ~ not_killed_by(X10,X9) ) )
& eats(X2,X0)
& alive(X2)
& ! [X11] :
( eats(X3,X11)
| ~ eats(X2,X11) )
& ! [X12] :
( ! [X13] : not_killed_by(X12,X13)
| ~ alive(X12) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f5,plain,
? [X0,X1,X2,X3,X4,X5] :
( ~ likes(X1,X0)
& ! [X6,X7] :
( likes(X7,X6)
| ~ alive(X7)
| ~ eats(X7,X5) )
& ! [X8] :
( likes(X1,X8)
| ~ food(X8) )
& food(X4)
& food(X5)
& ! [X9] :
( food(X9)
| ! [X10] :
( ~ eats(X10,X9)
| ~ not_killed_by(X10,X9) ) )
& eats(X2,X0)
& alive(X2)
& ! [X11] :
( eats(X3,X11)
| ~ eats(X2,X11) )
& ! [X12] :
( ! [X13] : not_killed_by(X12,X13)
| ~ alive(X12) ) ),
inference(flattening,[],[f4]) ).
fof(f6,plain,
( ~ likes(sK1,sK0)
& ! [X6,X7] :
( likes(X7,X6)
| ~ alive(X7)
| ~ eats(X7,sK5) )
& ! [X8] :
( likes(sK1,X8)
| ~ food(X8) )
& food(sK4)
& food(sK5)
& ! [X9] :
( food(X9)
| ! [X10] :
( ~ eats(X10,X9)
| ~ not_killed_by(X10,X9) ) )
& eats(sK2,sK0)
& alive(sK2)
& ! [X11] :
( eats(sK3,X11)
| ~ eats(sK2,X11) )
& ! [X12] :
( ! [X13] : not_killed_by(X12,X13)
| ~ alive(X12) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4),skolemize(X5,sK5)],[f5]) ).
fof(f7,plain,
! [X12,X13] :
( not_killed_by(X12,X13)
| ~ alive(X12) ),
inference(cnf_transformation,[],[f6]) ).
fof(f9,plain,
alive(sK2),
inference(cnf_transformation,[],[f6]) ).
fof(f10,plain,
eats(sK2,sK0),
inference(cnf_transformation,[],[f6]) ).
fof(f11,plain,
! [X10,X9] :
( ~ not_killed_by(X10,X9)
| ~ eats(X10,X9)
| food(X9) ),
inference(cnf_transformation,[],[f6]) ).
fof(f14,plain,
! [X8] :
( likes(sK1,X8)
| ~ food(X8) ),
inference(cnf_transformation,[],[f6]) ).
fof(f16,plain,
~ likes(sK1,sK0),
inference(cnf_transformation,[],[f6]) ).
fof(f17,plain,
~ food(sK0),
inference(resolution,[],[f14,f16]) ).
fof(f19,plain,
! [X0,X1] :
( ~ eats(X0,X1)
| food(X1)
| ~ alive(X0) ),
inference(resolution,[],[f11,f7]) ).
fof(f20,plain,
( food(sK0)
| ~ alive(sK2) ),
inference(resolution,[],[f19,f10]) ).
fof(f23,plain,
~ alive(sK2),
inference(forward_subsumption_resolution,[],[f20,f17]) ).
fof(f24,plain,
$false,
inference(forward_subsumption_resolution,[],[f23,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ061+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n011.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 22:38:31 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 2.50/1.32 % (2825740)Detected formulas, will run a generic FOF schedule.
% 2.50/1.32 % (2825748)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3486820284:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.50/1.32 % (2825748)First to succeed.
% 2.50/1.32 % (2825748)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2825740"
% 2.50/1.32 % (2825745)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=3663416540:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.50/1.32 % (2825747)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=188813611:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.50/1.32 % (2825746)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=1502023057:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.50/1.32 % (2825750)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=957289360:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.50/1.32 % (2825750)Also succeeded, but the first one will report.
% 2.50/1.32 % (2825751)dis-21_1_sil=8000:lcm=predicate:random_seed=2004426434: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)
% 2.50/1.32 % (2825749)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=119903062:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.50/1.32 % (2825749)Also succeeded, but the first one will report.
% 2.50/1.32 % (2825751)Also succeeded, but the first one will report.
% 2.50/1.32 % (2825748)Refutation found. Thanks to Tanya!
% 2.50/1.32 % SZS status Theorem for theBenchmark
% 2.50/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 2.50/1.33 % (2825748)------------------------------
% 2.50/1.33 % (2825748)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.33 % (2825748)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.33 % (2825748)CaDiCaL version: 2.1.3
% 2.50/1.33 % (2825748)Termination reason: Refutation
% 2.50/1.33 % (2825748)Time elapsed: 0.001 s
% 2.50/1.33 % (2825748)Peak memory usage: 88 MB
% 2.50/1.33 % (2825748)Instructions burned: 1 (million)
% 2.50/1.33 % (2825748)------------------------------
% 2.50/1.33 % (2825748)------------------------------
% 2.50/1.33 % (2825740)Success in time 0.27 s
% 2.50/1.33 % Vampire exiting
%------------------------------------------------------------------------------