TSTP Solution File: PUZ047+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : PUZ047+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:11:41 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 22 ( 10 unt; 0 def)
% Number of atoms : 202 ( 0 equ)
% Maximal formula atoms : 30 ( 9 avg)
% Number of connectives : 241 ( 61 ~; 48 |; 87 &)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 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 : 132 ( 129 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40,plain,
$false,
inference(resolution,[],[f39,f9]) ).
fof(f9,plain,
p(south,south,south,south,start),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
( ! [X0] :
( p(north,north,south,north,take_wolf(X0))
| ~ p(south,south,south,north,X0) )
& ! [X1] :
( p(south,north,south,south,take_cabbage(X1))
| ~ p(north,north,south,north,X1) )
& ! [X2] :
( p(south,south,north,south,go_alone(X2))
| ~ p(north,south,north,south,X2) )
& ! [X3] :
( p(north,south,north,north,take_cabbage(X3))
| ~ p(south,south,north,south,X3) )
& ! [X4] :
( ~ p(north,north,south,north,X4)
| p(south,south,south,north,take_wolf(X4)) )
& ! [X5] :
( ~ p(south,north,south,south,X5)
| p(north,north,south,north,take_cabbage(X5)) )
& ! [X6] : ~ p(north,north,north,north,X6)
& ! [X7] :
( ~ p(south,south,north,south,X7)
| p(north,south,north,south,go_alone(X7)) )
& ! [X8] :
( p(south,south,north,south,take_cabbage(X8))
| ~ p(north,south,north,north,X8) )
& ! [X9] :
( ~ p(north,north,south,north,X9)
| p(south,north,south,north,go_alone(X9)) )
& ! [X10,X11,X12] :
( ~ p(north,X10,north,X11,X12)
| p(south,X10,south,X11,take_goat(X12)) )
& ! [X13] :
( p(north,north,south,north,go_alone(X13))
| ~ p(south,north,south,north,X13) )
& ! [X14] :
( p(south,south,north,south,take_wolf(X14))
| ~ p(north,north,north,south,X14) )
& p(south,south,south,south,start)
& ! [X15] :
( p(north,north,north,south,take_wolf(X15))
| ~ p(south,south,north,south,X15) )
& ! [X16,X17,X18] :
( p(north,X17,north,X18,take_goat(X16))
| ~ p(south,X17,south,X18,X16) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ! [X15] :
( p(north,north,south,north,take_wolf(X15))
| ~ p(south,south,south,north,X15) )
& ! [X16] :
( p(south,north,south,south,take_cabbage(X16))
| ~ p(north,north,south,north,X16) )
& ! [X5] :
( p(south,south,north,south,go_alone(X5))
| ~ p(north,south,north,south,X5) )
& ! [X9] :
( p(north,south,north,north,take_cabbage(X9))
| ~ p(south,south,north,south,X9) )
& ! [X12] :
( ~ p(north,north,south,north,X12)
| p(south,south,south,north,take_wolf(X12)) )
& ! [X13] :
( ~ p(south,north,south,south,X13)
| p(north,north,south,north,take_cabbage(X13)) )
& ! [X18] : ~ p(north,north,north,north,X18)
& ! [X4] :
( ~ p(south,south,north,south,X4)
| p(north,south,north,south,go_alone(X4)) )
& ! [X14] :
( p(south,south,north,south,take_cabbage(X14))
| ~ p(north,south,north,north,X14) )
& ! [X0] :
( ~ p(north,north,south,north,X0)
| p(south,north,south,north,go_alone(X0)) )
& ! [X7,X6,X8] :
( ~ p(north,X7,north,X6,X8)
| p(south,X7,south,X6,take_goat(X8)) )
& ! [X17] :
( p(north,north,south,north,go_alone(X17))
| ~ p(south,north,south,north,X17) )
& ! [X10] :
( p(south,south,north,south,take_wolf(X10))
| ~ p(north,north,north,south,X10) )
& p(south,south,south,south,start)
& ! [X11] :
( p(north,north,north,south,take_wolf(X11))
| ~ p(south,south,north,south,X11) )
& ! [X1,X2,X3] :
( p(north,X2,north,X3,take_goat(X1))
| ~ p(south,X2,south,X3,X1) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ! [X18] : ~ p(north,north,north,north,X18)
& ! [X14] :
( p(south,south,north,south,take_cabbage(X14))
| ~ p(north,south,north,north,X14) )
& ! [X1,X2,X3] :
( p(north,X2,north,X3,take_goat(X1))
| ~ p(south,X2,south,X3,X1) )
& ! [X11] :
( p(north,north,north,south,take_wolf(X11))
| ~ p(south,south,north,south,X11) )
& ! [X7,X6,X8] :
( ~ p(north,X7,north,X6,X8)
| p(south,X7,south,X6,take_goat(X8)) )
& ! [X16] :
( p(south,north,south,south,take_cabbage(X16))
| ~ p(north,north,south,north,X16) )
& ! [X17] :
( p(north,north,south,north,go_alone(X17))
| ~ p(south,north,south,north,X17) )
& ! [X9] :
( p(north,south,north,north,take_cabbage(X9))
| ~ p(south,south,north,south,X9) )
& ! [X0] :
( ~ p(north,north,south,north,X0)
| p(south,north,south,north,go_alone(X0)) )
& ! [X4] :
( ~ p(south,south,north,south,X4)
| p(north,south,north,south,go_alone(X4)) )
& ! [X13] :
( ~ p(south,north,south,south,X13)
| p(north,north,south,north,take_cabbage(X13)) )
& ! [X12] :
( ~ p(north,north,south,north,X12)
| p(south,south,south,north,take_wolf(X12)) )
& p(south,south,south,south,start)
& ! [X5] :
( p(south,south,north,south,go_alone(X5))
| ~ p(north,south,north,south,X5) )
& ! [X10] :
( p(south,south,north,south,take_wolf(X10))
| ~ p(north,north,north,south,X10) )
& ! [X15] :
( p(north,north,south,north,take_wolf(X15))
| ~ p(south,south,south,north,X15) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ! [X14] :
( p(north,south,north,north,X14)
=> p(south,south,north,south,take_cabbage(X14)) )
& ! [X3,X1,X2] :
( p(south,X2,south,X3,X1)
=> p(north,X2,north,X3,take_goat(X1)) )
& ! [X11] :
( p(south,south,north,south,X11)
=> p(north,north,north,south,take_wolf(X11)) )
& ! [X8,X7,X6] :
( p(north,X7,north,X6,X8)
=> p(south,X7,south,X6,take_goat(X8)) )
& ! [X16] :
( p(north,north,south,north,X16)
=> p(south,north,south,south,take_cabbage(X16)) )
& ! [X17] :
( p(south,north,south,north,X17)
=> p(north,north,south,north,go_alone(X17)) )
& ! [X9] :
( p(south,south,north,south,X9)
=> p(north,south,north,north,take_cabbage(X9)) )
& ! [X0] :
( p(north,north,south,north,X0)
=> p(south,north,south,north,go_alone(X0)) )
& ! [X4] :
( p(south,south,north,south,X4)
=> p(north,south,north,south,go_alone(X4)) )
& ! [X13] :
( p(south,north,south,south,X13)
=> p(north,north,south,north,take_cabbage(X13)) )
& ! [X12] :
( p(north,north,south,north,X12)
=> p(south,south,south,north,take_wolf(X12)) )
& p(south,south,south,south,start)
& ! [X5] :
( p(north,south,north,south,X5)
=> p(south,south,north,south,go_alone(X5)) )
& ! [X10] :
( p(north,north,north,south,X10)
=> p(south,south,north,south,take_wolf(X10)) )
& ! [X15] :
( p(south,south,south,north,X15)
=> p(north,north,south,north,take_wolf(X15)) ) )
=> ? [X18] : p(north,north,north,north,X18) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X1] :
( p(north,north,south,north,X1)
=> p(south,north,south,north,go_alone(X1)) )
& ! [X10,X8,X9] :
( p(south,X8,south,X9,X10)
=> p(north,X8,north,X9,take_goat(X10)) )
& ! [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)) )
& ! [X12,X11,X13] :
( p(north,X11,north,X12,X13)
=> p(south,X11,south,X12,take_goat(X13)) )
& ! [X16] :
( p(south,south,north,south,X16)
=> p(north,south,north,north,take_cabbage(X16)) )
& ! [X7] :
( p(north,north,north,south,X7)
=> p(south,south,north,south,take_wolf(X7)) )
& ! [X6] :
( p(south,south,north,south,X6)
=> p(north,north,north,south,take_wolf(X6)) )
& ! [X5] :
( p(north,north,south,north,X5)
=> p(south,south,south,north,take_wolf(X5)) )
& p(south,south,south,south,start)
& ! [X14] :
( p(south,north,south,south,X14)
=> p(north,north,south,north,take_cabbage(X14)) )
& ! [X17] :
( p(north,south,north,north,X17)
=> p(south,south,north,south,take_cabbage(X17)) )
& ! [X4] :
( p(south,south,south,north,X4)
=> p(north,north,south,north,take_wolf(X4)) )
& ! [X15] :
( p(north,north,south,north,X15)
=> p(south,north,south,south,take_cabbage(X15)) )
& ! [X0] :
( p(south,north,south,north,X0)
=> p(north,north,south,north,go_alone(X0)) ) )
=> ? [X18] : p(north,north,north,north,X18) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X1] :
( p(north,north,south,north,X1)
=> p(south,north,south,north,go_alone(X1)) )
& ! [X10,X8,X9] :
( p(south,X8,south,X9,X10)
=> p(north,X8,north,X9,take_goat(X10)) )
& ! [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)) )
& ! [X12,X11,X13] :
( p(north,X11,north,X12,X13)
=> p(south,X11,south,X12,take_goat(X13)) )
& ! [X16] :
( p(south,south,north,south,X16)
=> p(north,south,north,north,take_cabbage(X16)) )
& ! [X7] :
( p(north,north,north,south,X7)
=> p(south,south,north,south,take_wolf(X7)) )
& ! [X6] :
( p(south,south,north,south,X6)
=> p(north,north,north,south,take_wolf(X6)) )
& ! [X5] :
( p(north,north,south,north,X5)
=> p(south,south,south,north,take_wolf(X5)) )
& p(south,south,south,south,start)
& ! [X14] :
( p(south,north,south,south,X14)
=> p(north,north,south,north,take_cabbage(X14)) )
& ! [X17] :
( p(north,south,north,north,X17)
=> p(south,south,north,south,take_cabbage(X17)) )
& ! [X4] :
( p(south,south,south,north,X4)
=> p(north,north,south,north,take_wolf(X4)) )
& ! [X15] :
( p(north,north,south,north,X15)
=> p(south,north,south,south,take_cabbage(X15)) )
& ! [X0] :
( p(south,north,south,north,X0)
=> p(north,north,south,north,go_alone(X0)) ) )
=> ? [X18] : p(north,north,north,north,X18) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm100) ).
fof(f39,plain,
! [X1] : ~ p(south,south,south,south,X1),
inference(resolution,[],[f37,f7]) ).
fof(f7,plain,
! [X18,X16,X17] :
( p(north,X17,north,X18,take_goat(X16))
| ~ p(south,X17,south,X18,X16) ),
inference(cnf_transformation,[],[f6]) ).
fof(f37,plain,
! [X0] : ~ p(north,south,north,south,X0),
inference(resolution,[],[f20,f29]) ).
fof(f29,plain,
! [X0] : ~ p(south,south,north,south,X0),
inference(resolution,[],[f28,f8]) ).
fof(f8,plain,
! [X15] :
( p(north,north,north,south,take_wolf(X15))
| ~ p(south,south,north,south,X15) ),
inference(cnf_transformation,[],[f6]) ).
fof(f28,plain,
! [X0] : ~ p(north,north,north,south,X0),
inference(resolution,[],[f27,f12]) ).
fof(f12,plain,
! [X10,X11,X12] :
( p(south,X10,south,X11,take_goat(X12))
| ~ p(north,X10,north,X11,X12) ),
inference(cnf_transformation,[],[f6]) ).
fof(f27,plain,
! [X1] : ~ p(south,north,south,south,X1),
inference(resolution,[],[f25,f17]) ).
fof(f17,plain,
! [X5] :
( p(north,north,south,north,take_cabbage(X5))
| ~ p(south,north,south,south,X5) ),
inference(cnf_transformation,[],[f6]) ).
fof(f25,plain,
! [X0] : ~ p(north,north,south,north,X0),
inference(resolution,[],[f13,f23]) ).
fof(f23,plain,
! [X0] : ~ p(south,north,south,north,X0),
inference(resolution,[],[f7,f16]) ).
fof(f16,plain,
! [X6] : ~ p(north,north,north,north,X6),
inference(cnf_transformation,[],[f6]) ).
fof(f13,plain,
! [X9] :
( p(south,north,south,north,go_alone(X9))
| ~ p(north,north,south,north,X9) ),
inference(cnf_transformation,[],[f6]) ).
fof(f20,plain,
! [X2] :
( p(south,south,north,south,go_alone(X2))
| ~ p(north,south,north,south,X2) ),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PUZ047+1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 10:56:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 % (12868)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.47 % (12860)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.47 % (12868)First to succeed.
% 0.19/0.48 % (12868)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Theorem for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (12868)------------------------------
% 0.19/0.48 % (12868)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (12868)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (12868)Termination reason: Refutation
% 0.19/0.48
% 0.19/0.48 % (12868)Memory used [KB]: 895
% 0.19/0.48 % (12868)Time elapsed: 0.096 s
% 0.19/0.48 % (12868)Instructions burned: 3 (million)
% 0.19/0.48 % (12868)------------------------------
% 0.19/0.48 % (12868)------------------------------
% 0.19/0.48 % (12852)Success in time 0.138 s
%------------------------------------------------------------------------------