%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PUZ047+1 : TPTP v9.3.1. Released v2.5.0.
% 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 12:32:02 PM UTC 2026
% Result : Theorem 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 29 ( 9 unt; 0 def)
% Number of atoms : 189 ( 0 equ)
% Maximal formula atoms : 30 ( 6 avg)
% Number of connectives : 223 ( 63 ~; 57 |; 73 &)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 6 avg)
% Maximal term depth : 3 ( 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 : 124 ( 122 !; 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/sandbox/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(north,north,north,north,X0),
inference(consistent_polarity_flipping,[],[f21]) ).
fof(f23,plain,
~ p(south,south,south,south,start),
inference(consistent_polarity_flipping,[],[f20]) ).
fof(f25,plain,
! [X2] :
( p(north,north,south,north,X2)
| ~ p(south,north,south,north,go_alone(X2)) ),
inference(consistent_polarity_flipping,[],[f18]) ).
fof(f27,plain,
! [X4] :
( p(north,south,north,south,X4)
| ~ p(south,south,north,south,go_alone(X4)) ),
inference(consistent_polarity_flipping,[],[f16]) ).
fof(f30,plain,
! [X7] :
( ~ p(north,north,north,south,take_wolf(X7))
| p(south,south,north,south,X7) ),
inference(consistent_polarity_flipping,[],[f13]) ).
fof(f32,plain,
! [X10,X11,X9] :
( ~ p(north,X9,north,X10,take_goat(X11))
| p(south,X9,south,X10,X11) ),
inference(consistent_polarity_flipping,[],[f11]) ).
fof(f33,plain,
! [X14,X12,X13] :
( p(north,X12,north,X13,X14)
| ~ p(south,X12,south,X13,take_goat(X14)) ),
inference(consistent_polarity_flipping,[],[f10]) ).
fof(f34,plain,
! [X15] :
( ~ p(north,north,south,north,take_cabbage(X15))
| p(south,north,south,south,X15) ),
inference(consistent_polarity_flipping,[],[f9]) ).
fof(f44,plain,
! [X0] : p(south,north,south,north,X0),
inference(resolution,[],[f32,f22]) ).
fof(f46,plain,
! [X0] :
( ~ p(south,south,north,south,go_alone(take_goat(X0)))
| p(south,south,south,south,X0) ),
inference(resolution,[],[f32,f27]) ).
fof(f48,plain,
! [X0] :
( ~ p(south,north,south,south,take_goat(take_wolf(X0)))
| p(south,south,north,south,X0) ),
inference(resolution,[],[f33,f30]) ).
fof(f51,plain,
! [X0] :
( ~ p(south,north,south,north,go_alone(take_cabbage(X0)))
| p(south,north,south,south,X0) ),
inference(resolution,[],[f34,f25]) ).
fof(f67,plain,
! [X0] : p(south,north,south,south,X0),
inference(resolution,[],[f51,f44]) ).
fof(f68,plain,
! [X0] : p(south,south,north,south,X0),
inference(resolution,[],[f67,f48]) ).
fof(f70,plain,
! [X0] : p(south,south,south,south,X0),
inference(resolution,[],[f68,f46]) ).
fof(f71,plain,
$false,
inference(resolution,[],[f70,f23]) ).
%------------------------------------------------------------------------------
%----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/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n013.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 22:35:21 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.18/0.47 % (615697)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (615708)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=365071781:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.18/0.47 % (615708) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-615697-615708"...
% 0.18/0.47 % (615708)...printing done.
% 0.18/0.47 % (615703)% WARNING: option uhcvi not known.
% 0.18/0.47 % (615708)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Theorem for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (615708)------------------------------
% 0.18/0.47 % (615708)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (615708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (615708)CaDiCaL version: 2.1.3
% 0.18/0.47 % (615708)Termination reason: Refutation
% 0.18/0.47 % (615708)Time elapsed: 0.002 s
% 0.18/0.47 % (615708)Peak memory usage: 12 MB
% 0.18/0.47 % (615708)Instructions burned: 4 (million)
% 0.18/0.47 % (615697)Success in time 0.029 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------