%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ047+1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 12:31:21 PM UTC 2026
% Result : Theorem 3.36s 1.23s
% Output : Refutation 3.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 1
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 172 ( 0 equ)
% Maximal formula atoms : 30 ( 8 avg)
% Number of connectives : 211 ( 60 ~; 48 |; 73 &)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-5 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 113 ( 111 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ( p(south,south,south,south,start)
& ! [X0] :
( p(south,north,south,north,X0)
=> p(north,north,south,north,go_alone(X0)) )
& ! [X1] :
( p(north,north,south,north,X1)
=> p(south,north,south,north,go_alone(X1)) )
& ! [X2] :
( p(south,south,north,south,X2)
=> p(north,south,north,south,go_alone(X2)) )
& ! [X3] :
( p(north,south,north,south,X3)
=> p(south,south,north,south,go_alone(X3)) )
& ! [X4] :
( p(south,south,south,north,X4)
=> p(north,north,south,north,take_wolf(X4)) )
& ! [X5] :
( p(north,north,south,north,X5)
=> p(south,south,south,north,take_wolf(X5)) )
& ! [X6] :
( p(south,south,north,south,X6)
=> p(north,north,north,south,take_wolf(X6)) )
& ! [X7] :
( p(north,north,north,south,X7)
=> p(south,south,north,south,take_wolf(X7)) )
& ! [X8,X9,X10] :
( p(south,X8,south,X9,X10)
=> p(north,X8,north,X9,take_goat(X10)) )
& ! [X11,X12,X13] :
( p(north,X11,north,X12,X13)
=> p(south,X11,south,X12,take_goat(X13)) )
& ! [X14] :
( p(south,north,south,south,X14)
=> p(north,north,south,north,take_cabbage(X14)) )
& ! [X15] :
( p(north,north,south,north,X15)
=> p(south,north,south,south,take_cabbage(X15)) )
& ! [X16] :
( p(south,south,north,south,X16)
=> p(north,south,north,north,take_cabbage(X16)) )
& ! [X17] :
( p(north,south,north,north,X17)
=> p(south,south,north,south,take_cabbage(X17)) ) )
=> ? [X18] : p(north,north,north,north,X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100) ).
fof(f2,negated_conjecture,
~ ( ( p(south,south,south,south,start)
& ! [X0] :
( p(south,north,south,north,X0)
=> p(north,north,south,north,go_alone(X0)) )
& ! [X1] :
( p(north,north,south,north,X1)
=> p(south,north,south,north,go_alone(X1)) )
& ! [X2] :
( p(south,south,north,south,X2)
=> p(north,south,north,south,go_alone(X2)) )
& ! [X3] :
( p(north,south,north,south,X3)
=> p(south,south,north,south,go_alone(X3)) )
& ! [X4] :
( p(south,south,south,north,X4)
=> p(north,north,south,north,take_wolf(X4)) )
& ! [X5] :
( p(north,north,south,north,X5)
=> p(south,south,south,north,take_wolf(X5)) )
& ! [X6] :
( p(south,south,north,south,X6)
=> p(north,north,north,south,take_wolf(X6)) )
& ! [X7] :
( p(north,north,north,south,X7)
=> p(south,south,north,south,take_wolf(X7)) )
& ! [X8,X9,X10] :
( p(south,X8,south,X9,X10)
=> p(north,X8,north,X9,take_goat(X10)) )
& ! [X11,X12,X13] :
( p(north,X11,north,X12,X13)
=> p(south,X11,south,X12,take_goat(X13)) )
& ! [X14] :
( p(south,north,south,south,X14)
=> p(north,north,south,north,take_cabbage(X14)) )
& ! [X15] :
( p(north,north,south,north,X15)
=> p(south,north,south,south,take_cabbage(X15)) )
& ! [X16] :
( p(south,south,north,south,X16)
=> p(north,south,north,north,take_cabbage(X16)) )
& ! [X17] :
( p(north,south,north,north,X17)
=> p(south,south,north,south,take_cabbage(X17)) ) )
=> ? [X18] : p(north,north,north,north,X18) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,plain,
( ! [X18] : ~ p(north,north,north,north,X18)
& p(south,south,south,south,start)
& ! [X0] :
( p(north,north,south,north,go_alone(X0))
| ~ p(south,north,south,north,X0) )
& ! [X1] :
( p(south,north,south,north,go_alone(X1))
| ~ p(north,north,south,north,X1) )
& ! [X2] :
( p(north,south,north,south,go_alone(X2))
| ~ p(south,south,north,south,X2) )
& ! [X3] :
( p(south,south,north,south,go_alone(X3))
| ~ p(north,south,north,south,X3) )
& ! [X4] :
( p(north,north,south,north,take_wolf(X4))
| ~ p(south,south,south,north,X4) )
& ! [X5] :
( p(south,south,south,north,take_wolf(X5))
| ~ p(north,north,south,north,X5) )
& ! [X6] :
( p(north,north,north,south,take_wolf(X6))
| ~ p(south,south,north,south,X6) )
& ! [X7] :
( p(south,south,north,south,take_wolf(X7))
| ~ p(north,north,north,south,X7) )
& ! [X8,X9,X10] :
( p(north,X8,north,X9,take_goat(X10))
| ~ p(south,X8,south,X9,X10) )
& ! [X11,X12,X13] :
( p(south,X11,south,X12,take_goat(X13))
| ~ p(north,X11,north,X12,X13) )
& ! [X14] :
( p(north,north,south,north,take_cabbage(X14))
| ~ p(south,north,south,south,X14) )
& ! [X15] :
( p(south,north,south,south,take_cabbage(X15))
| ~ p(north,north,south,north,X15) )
& ! [X16] :
( p(north,south,north,north,take_cabbage(X16))
| ~ p(south,south,north,south,X16) )
& ! [X17] :
( p(south,south,north,south,take_cabbage(X17))
| ~ p(north,south,north,north,X17) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f4,plain,
( ! [X18] : ~ p(north,north,north,north,X18)
& p(south,south,south,south,start)
& ! [X0] :
( p(north,north,south,north,go_alone(X0))
| ~ p(south,north,south,north,X0) )
& ! [X1] :
( p(south,north,south,north,go_alone(X1))
| ~ p(north,north,south,north,X1) )
& ! [X2] :
( p(north,south,north,south,go_alone(X2))
| ~ p(south,south,north,south,X2) )
& ! [X3] :
( p(south,south,north,south,go_alone(X3))
| ~ p(north,south,north,south,X3) )
& ! [X4] :
( p(north,north,south,north,take_wolf(X4))
| ~ p(south,south,south,north,X4) )
& ! [X5] :
( p(south,south,south,north,take_wolf(X5))
| ~ p(north,north,south,north,X5) )
& ! [X6] :
( p(north,north,north,south,take_wolf(X6))
| ~ p(south,south,north,south,X6) )
& ! [X7] :
( p(south,south,north,south,take_wolf(X7))
| ~ p(north,north,north,south,X7) )
& ! [X8,X9,X10] :
( p(north,X8,north,X9,take_goat(X10))
| ~ p(south,X8,south,X9,X10) )
& ! [X11,X12,X13] :
( p(south,X11,south,X12,take_goat(X13))
| ~ p(north,X11,north,X12,X13) )
& ! [X14] :
( p(north,north,south,north,take_cabbage(X14))
| ~ p(south,north,south,south,X14) )
& ! [X15] :
( p(south,north,south,south,take_cabbage(X15))
| ~ p(north,north,south,north,X15) )
& ! [X16] :
( p(north,south,north,north,take_cabbage(X16))
| ~ p(south,south,north,south,X16) )
& ! [X17] :
( p(south,south,north,south,take_cabbage(X17))
| ~ p(north,south,north,north,X17) ) ),
inference(flattening,[],[f3]) ).
fof(f5,plain,
( ! [X0] : ~ p(north,north,north,north,X0)
& p(south,south,south,south,start)
& ! [X1] :
( p(north,north,south,north,go_alone(X1))
| ~ p(south,north,south,north,X1) )
& ! [X2] :
( p(south,north,south,north,go_alone(X2))
| ~ p(north,north,south,north,X2) )
& ! [X3] :
( p(north,south,north,south,go_alone(X3))
| ~ p(south,south,north,south,X3) )
& ! [X4] :
( p(south,south,north,south,go_alone(X4))
| ~ p(north,south,north,south,X4) )
& ! [X5] :
( p(north,north,south,north,take_wolf(X5))
| ~ p(south,south,south,north,X5) )
& ! [X6] :
( p(south,south,south,north,take_wolf(X6))
| ~ p(north,north,south,north,X6) )
& ! [X7] :
( p(north,north,north,south,take_wolf(X7))
| ~ p(south,south,north,south,X7) )
& ! [X8] :
( p(south,south,north,south,take_wolf(X8))
| ~ p(north,north,north,south,X8) )
& ! [X9,X10,X11] :
( p(north,X9,north,X10,take_goat(X11))
| ~ p(south,X9,south,X10,X11) )
& ! [X12,X13,X14] :
( p(south,X12,south,X13,take_goat(X14))
| ~ p(north,X12,north,X13,X14) )
& ! [X15] :
( p(north,north,south,north,take_cabbage(X15))
| ~ p(south,north,south,south,X15) )
& ! [X16] :
( p(south,north,south,south,take_cabbage(X16))
| ~ p(north,north,south,north,X16) )
& ! [X17] :
( p(north,south,north,north,take_cabbage(X17))
| ~ p(south,south,north,south,X17) )
& ! [X18] :
( p(south,south,north,south,take_cabbage(X18))
| ~ p(north,south,north,north,X18) ) ),
inference(rectify,[],[f4]) ).
fof(f9,plain,
! [X15] :
( p(north,north,south,north,take_cabbage(X15))
| ~ p(south,north,south,south,X15) ),
inference(cnf_transformation,[],[f5]) ).
fof(f10,plain,
! [X14,X12,X13] :
( p(south,X12,south,X13,take_goat(X14))
| ~ p(north,X12,north,X13,X14) ),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
! [X10,X11,X9] :
( p(north,X9,north,X10,take_goat(X11))
| ~ p(south,X9,south,X10,X11) ),
inference(cnf_transformation,[],[f5]) ).
fof(f13,plain,
! [X7] :
( p(north,north,north,south,take_wolf(X7))
| ~ p(south,south,north,south,X7) ),
inference(cnf_transformation,[],[f5]) ).
fof(f16,plain,
! [X4] :
( p(south,south,north,south,go_alone(X4))
| ~ p(north,south,north,south,X4) ),
inference(cnf_transformation,[],[f5]) ).
fof(f18,plain,
! [X2] :
( p(south,north,south,north,go_alone(X2))
| ~ p(north,north,south,north,X2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f20,plain,
p(south,south,south,south,start),
inference(cnf_transformation,[],[f5]) ).
fof(f21,plain,
! [X0] : ~ p(north,north,north,north,X0),
inference(cnf_transformation,[],[f5]) ).
fof(f22,plain,
! [X0] : ~ p(south,north,south,north,X0),
inference(resolution,[],[f11,f21]) ).
fof(f24,plain,
! [X2] : ~ p(north,north,south,north,X2),
inference(forward_subsumption_resolution,[],[f18,f22]) ).
fof(f25,plain,
! [X0] : ~ p(south,north,south,south,X0),
inference(resolution,[],[f24,f9]) ).
fof(f28,plain,
! [X0] : ~ p(north,north,north,south,X0),
inference(resolution,[],[f25,f10]) ).
fof(f31,plain,
! [X0] : ~ p(south,south,north,south,X0),
inference(resolution,[],[f28,f13]) ).
fof(f37,plain,
! [X0] : ~ p(north,south,north,south,X0),
inference(resolution,[],[f31,f16]) ).
fof(f39,plain,
! [X0] : ~ p(south,south,south,south,X0),
inference(resolution,[],[f37,f11]) ).
fof(f40,plain,
$false,
inference(resolution,[],[f39,f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ047+1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n014.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 22:35:01 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 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
% 3.36/1.23 % (1234322)Detected formulas, will run a generic FOF schedule.
% 3.36/1.23 % (1234329)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=3878767778:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.36/1.23 % (1234333)dis-21_1_sil=8000:lcm=predicate:random_seed=3386537731: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)
% 3.36/1.23 % (1234332)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3460672111:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.36/1.23 % (1234327)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=2287429008:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.36/1.23 % (1234330)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=672828228:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.36/1.23 % (1234328)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=3490721556:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.36/1.23 % (1234331)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2391106514:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.36/1.23 % (1234331)First to succeed.
% 3.36/1.23 % (1234333)Also succeeded, but the first one will report.
% 3.36/1.23 % (1234332)Also succeeded, but the first one will report.
% 3.36/1.23 % (1234330)Also succeeded, but the first one will report.
% 3.36/1.23 % (1234331)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1234322"
% 3.36/1.23 % (1234331)Refutation found. Thanks to Tanya!
% 3.36/1.23 % SZS status Theorem for theBenchmark
% 3.36/1.23 % SZS output start Proof for theBenchmark
% See solution above
% 3.36/1.23 % (1234331)------------------------------
% 3.36/1.23 % (1234331)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.23 % (1234331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.23 % (1234331)CaDiCaL version: 2.1.3
% 3.36/1.23 % (1234331)Termination reason: Refutation
% 3.36/1.23 % (1234331)Time elapsed: 0.003 s
% 3.36/1.23 % (1234331)Peak memory usage: 87 MB
% 3.36/1.23 % (1234331)Instructions burned: 3 (million)
% 3.36/1.23 % (1234331)------------------------------
% 3.36/1.23 % (1234331)------------------------------
% 3.36/1.23 % (1234322)Success in time 0.417 s
% 3.36/1.23 % Vampire exiting
%------------------------------------------------------------------------------