TSTP Solution File: PUZ047+1 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---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_uns --cores 0 -t %d %s
% Computer : n017.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 18:10:51 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 22 ( 7 unt; 0 def)
% Number of atoms : 205 ( 0 equ)
% Maximal formula atoms : 30 ( 9 avg)
% Number of connectives : 244 ( 61 ~; 51 |; 87 &)
% ( 0 <=>; 45 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 8 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 : 132 ( 129 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,plain,
$false,
inference(resolution,[],[f56,f8]) ).
fof(f8,plain,
p(south,south,south,south,start),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
( ! [X0] :
( p(north,south,north,south,go_alone(X0))
| ~ p(south,south,north,south,X0) )
& ! [X1] :
( ~ p(north,north,south,north,X1)
| p(south,north,south,south,take_cabbage(X1)) )
& ! [X2,X3,X4] :
( p(south,X3,south,X4,take_goat(X2))
| ~ p(north,X3,north,X4,X2) )
& ! [X5] : ~ p(north,north,north,north,X5)
& ! [X6,X7,X8] :
( ~ p(south,X7,south,X8,X6)
| p(north,X7,north,X8,take_goat(X6)) )
& ! [X9] :
( ~ p(north,south,north,north,X9)
| p(south,south,north,south,take_cabbage(X9)) )
& ! [X10] :
( p(south,south,north,south,take_wolf(X10))
| ~ p(north,north,north,south,X10) )
& ! [X11] :
( ~ p(south,north,south,north,X11)
| p(north,north,south,north,go_alone(X11)) )
& ! [X12] :
( ~ p(south,south,north,south,X12)
| p(north,south,north,north,take_cabbage(X12)) )
& ! [X13] :
( ~ p(north,north,south,north,X13)
| p(south,north,south,north,go_alone(X13)) )
& ! [X14] :
( ~ p(north,north,south,north,X14)
| p(south,south,south,north,take_wolf(X14)) )
& ! [X15] :
( p(north,north,south,north,take_cabbage(X15))
| ~ p(south,north,south,south,X15) )
& ! [X16] :
( ~ p(north,south,north,south,X16)
| p(south,south,north,south,go_alone(X16)) )
& ! [X17] :
( ~ p(south,south,south,north,X17)
| p(north,north,south,north,take_wolf(X17)) )
& p(south,south,south,south,start)
& ! [X18] :
( ~ p(south,south,north,south,X18)
| p(north,north,north,south,take_wolf(X18)) ) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ! [X1] :
( p(north,south,north,south,go_alone(X1))
| ~ p(south,south,north,south,X1) )
& ! [X17] :
( ~ p(north,north,south,north,X17)
| p(south,north,south,south,take_cabbage(X17)) )
& ! [X9,X7,X8] :
( p(south,X7,south,X8,take_goat(X9))
| ~ p(north,X7,north,X8,X9) )
& ! [X18] : ~ p(north,north,north,north,X18)
& ! [X12,X11,X13] :
( ~ p(south,X11,south,X13,X12)
| p(north,X11,north,X13,take_goat(X12)) )
& ! [X14] :
( ~ p(north,south,north,north,X14)
| p(south,south,north,south,take_cabbage(X14)) )
& ! [X5] :
( p(south,south,north,south,take_wolf(X5))
| ~ p(north,north,north,south,X5) )
& ! [X4] :
( ~ p(south,north,south,north,X4)
| p(north,north,south,north,go_alone(X4)) )
& ! [X2] :
( ~ p(south,south,north,south,X2)
| p(north,south,north,north,take_cabbage(X2)) )
& ! [X15] :
( ~ p(north,north,south,north,X15)
| p(south,north,south,north,go_alone(X15)) )
& ! [X16] :
( ~ p(north,north,south,north,X16)
| p(south,south,south,north,take_wolf(X16)) )
& ! [X3] :
( p(north,north,south,north,take_cabbage(X3))
| ~ p(south,north,south,south,X3) )
& ! [X0] :
( ~ p(north,south,north,south,X0)
| p(south,south,north,south,go_alone(X0)) )
& ! [X6] :
( ~ p(south,south,south,north,X6)
| p(north,north,south,north,take_wolf(X6)) )
& p(south,south,south,south,start)
& ! [X10] :
( ~ p(south,south,north,south,X10)
| p(north,north,north,south,take_wolf(X10)) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ! [X18] : ~ p(north,north,north,north,X18)
& ! [X17] :
( ~ p(north,north,south,north,X17)
| p(south,north,south,south,take_cabbage(X17)) )
& ! [X10] :
( ~ p(south,south,north,south,X10)
| p(north,north,north,south,take_wolf(X10)) )
& ! [X0] :
( ~ p(north,south,north,south,X0)
| p(south,south,north,south,go_alone(X0)) )
& ! [X4] :
( ~ p(south,north,south,north,X4)
| p(north,north,south,north,go_alone(X4)) )
& ! [X14] :
( ~ p(north,south,north,north,X14)
| p(south,south,north,south,take_cabbage(X14)) )
& ! [X5] :
( p(south,south,north,south,take_wolf(X5))
| ~ p(north,north,north,south,X5) )
& ! [X16] :
( ~ p(north,north,south,north,X16)
| p(south,south,south,north,take_wolf(X16)) )
& p(south,south,south,south,start)
& ! [X6] :
( ~ p(south,south,south,north,X6)
| p(north,north,south,north,take_wolf(X6)) )
& ! [X3] :
( p(north,north,south,north,take_cabbage(X3))
| ~ p(south,north,south,south,X3) )
& ! [X9,X7,X8] :
( p(south,X7,south,X8,take_goat(X9))
| ~ p(north,X7,north,X8,X9) )
& ! [X2] :
( ~ p(south,south,north,south,X2)
| p(north,south,north,north,take_cabbage(X2)) )
& ! [X15] :
( ~ p(north,north,south,north,X15)
| p(south,north,south,north,go_alone(X15)) )
& ! [X1] :
( p(north,south,north,south,go_alone(X1))
| ~ p(south,south,north,south,X1) )
& ! [X12,X11,X13] :
( ~ p(south,X11,south,X13,X12)
| p(north,X11,north,X13,take_goat(X12)) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ! [X17] :
( p(north,north,south,north,X17)
=> p(south,north,south,south,take_cabbage(X17)) )
& ! [X10] :
( p(south,south,north,south,X10)
=> p(north,north,north,south,take_wolf(X10)) )
& ! [X0] :
( p(north,south,north,south,X0)
=> p(south,south,north,south,go_alone(X0)) )
& ! [X4] :
( p(south,north,south,north,X4)
=> p(north,north,south,north,go_alone(X4)) )
& ! [X14] :
( p(north,south,north,north,X14)
=> p(south,south,north,south,take_cabbage(X14)) )
& ! [X5] :
( p(north,north,north,south,X5)
=> p(south,south,north,south,take_wolf(X5)) )
& ! [X16] :
( p(north,north,south,north,X16)
=> p(south,south,south,north,take_wolf(X16)) )
& p(south,south,south,south,start)
& ! [X6] :
( p(south,south,south,north,X6)
=> p(north,north,south,north,take_wolf(X6)) )
& ! [X3] :
( p(south,north,south,south,X3)
=> p(north,north,south,north,take_cabbage(X3)) )
& ! [X9,X8,X7] :
( p(north,X7,north,X8,X9)
=> p(south,X7,south,X8,take_goat(X9)) )
& ! [X2] :
( p(south,south,north,south,X2)
=> p(north,south,north,north,take_cabbage(X2)) )
& ! [X15] :
( p(north,north,south,north,X15)
=> p(south,north,south,north,go_alone(X15)) )
& ! [X1] :
( p(south,south,north,south,X1)
=> p(north,south,north,south,go_alone(X1)) )
& ! [X12,X13,X11] :
( p(south,X11,south,X13,X12)
=> p(north,X11,north,X13,take_goat(X12)) ) )
=> ? [X18] : p(north,north,north,north,X18) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X3] :
( p(north,south,north,south,X3)
=> p(south,south,north,south,go_alone(X3)) )
& ! [X2] :
( p(south,south,north,south,X2)
=> p(north,south,north,south,go_alone(X2)) )
& ! [X16] :
( p(south,south,north,south,X16)
=> p(north,south,north,north,take_cabbage(X16)) )
& ! [X14] :
( p(south,north,south,south,X14)
=> p(north,north,south,north,take_cabbage(X14)) )
& p(south,south,south,south,start)
& ! [X0] :
( p(south,north,south,north,X0)
=> p(north,north,south,north,go_alone(X0)) )
& ! [X7] :
( p(north,north,north,south,X7)
=> p(south,south,north,south,take_wolf(X7)) )
& ! [X4] :
( p(south,south,south,north,X4)
=> p(north,north,south,north,take_wolf(X4)) )
& ! [X11,X12,X13] :
( p(north,X11,north,X12,X13)
=> p(south,X11,south,X12,take_goat(X13)) )
& ! [X6] :
( p(south,south,north,south,X6)
=> p(north,north,north,south,take_wolf(X6)) )
& ! [X8,X10,X9] :
( p(south,X8,south,X9,X10)
=> p(north,X8,north,X9,take_goat(X10)) )
& ! [X17] :
( p(north,south,north,north,X17)
=> p(south,south,north,south,take_cabbage(X17)) )
& ! [X1] :
( p(north,north,south,north,X1)
=> p(south,north,south,north,go_alone(X1)) )
& ! [X5] :
( p(north,north,south,north,X5)
=> p(south,south,south,north,take_wolf(X5)) )
& ! [X15] :
( p(north,north,south,north,X15)
=> p(south,north,south,south,take_cabbage(X15)) ) )
=> ? [X18] : p(north,north,north,north,X18) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X3] :
( p(north,south,north,south,X3)
=> p(south,south,north,south,go_alone(X3)) )
& ! [X2] :
( p(south,south,north,south,X2)
=> p(north,south,north,south,go_alone(X2)) )
& ! [X16] :
( p(south,south,north,south,X16)
=> p(north,south,north,north,take_cabbage(X16)) )
& ! [X14] :
( p(south,north,south,south,X14)
=> p(north,north,south,north,take_cabbage(X14)) )
& p(south,south,south,south,start)
& ! [X0] :
( p(south,north,south,north,X0)
=> p(north,north,south,north,go_alone(X0)) )
& ! [X7] :
( p(north,north,north,south,X7)
=> p(south,south,north,south,take_wolf(X7)) )
& ! [X4] :
( p(south,south,south,north,X4)
=> p(north,north,south,north,take_wolf(X4)) )
& ! [X11,X12,X13] :
( p(north,X11,north,X12,X13)
=> p(south,X11,south,X12,take_goat(X13)) )
& ! [X6] :
( p(south,south,north,south,X6)
=> p(north,north,north,south,take_wolf(X6)) )
& ! [X8,X10,X9] :
( p(south,X8,south,X9,X10)
=> p(north,X8,north,X9,take_goat(X10)) )
& ! [X17] :
( p(north,south,north,north,X17)
=> p(south,south,north,south,take_cabbage(X17)) )
& ! [X1] :
( p(north,north,south,north,X1)
=> p(south,north,south,north,go_alone(X1)) )
& ! [X5] :
( p(north,north,south,north,X5)
=> p(south,south,south,north,take_wolf(X5)) )
& ! [X15] :
( p(north,north,south,north,X15)
=> p(south,north,south,south,take_cabbage(X15)) ) )
=> ? [X18] : p(north,north,north,north,X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100) ).
fof(f56,plain,
! [X3] : ~ p(south,south,south,south,X3),
inference(resolution,[],[f51,f33]) ).
fof(f33,plain,
! [X2] :
( p(south,south,north,south,go_alone(take_goat(X2)))
| ~ p(south,south,south,south,X2) ),
inference(resolution,[],[f18,f10]) ).
fof(f10,plain,
! [X16] :
( ~ p(north,south,north,south,X16)
| p(south,south,north,south,go_alone(X16)) ),
inference(cnf_transformation,[],[f6]) ).
fof(f18,plain,
! [X8,X6,X7] :
( p(north,X7,north,X8,take_goat(X6))
| ~ p(south,X7,south,X8,X6) ),
inference(cnf_transformation,[],[f6]) ).
fof(f51,plain,
! [X1] : ~ p(south,south,north,south,X1),
inference(resolution,[],[f35,f44]) ).
fof(f44,plain,
! [X0] : ~ p(south,north,south,south,X0),
inference(resolution,[],[f26,f31]) ).
fof(f31,plain,
! [X0] : ~ p(south,north,south,north,X0),
inference(resolution,[],[f18,f19]) ).
fof(f19,plain,
! [X5] : ~ p(north,north,north,north,X5),
inference(cnf_transformation,[],[f6]) ).
fof(f26,plain,
! [X1] :
( p(south,north,south,north,go_alone(take_cabbage(X1)))
| ~ p(south,north,south,south,X1) ),
inference(resolution,[],[f13,f11]) ).
fof(f11,plain,
! [X15] :
( p(north,north,south,north,take_cabbage(X15))
| ~ p(south,north,south,south,X15) ),
inference(cnf_transformation,[],[f6]) ).
fof(f13,plain,
! [X13] :
( ~ p(north,north,south,north,X13)
| p(south,north,south,north,go_alone(X13)) ),
inference(cnf_transformation,[],[f6]) ).
fof(f35,plain,
! [X0] :
( p(south,north,south,south,take_goat(take_wolf(X0)))
| ~ p(south,south,north,south,X0) ),
inference(resolution,[],[f20,f7]) ).
fof(f7,plain,
! [X18] :
( p(north,north,north,south,take_wolf(X18))
| ~ p(south,south,north,south,X18) ),
inference(cnf_transformation,[],[f6]) ).
fof(f20,plain,
! [X2,X3,X4] :
( ~ p(north,X3,north,X4,X2)
| p(south,X3,south,X4,take_goat(X2)) ),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ047+1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 10:06:35 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (8624)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.19/0.50 % (8615)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.50 % (8616)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.50 % (8607)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.19/0.50 % (8616)First to succeed.
% 0.19/0.50 % (8623)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.51 % (8614)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.51 % (8624)Also succeeded, but the first one will report.
% 0.19/0.51 % (8616)Refutation found. Thanks to Tanya!
% 0.19/0.51 % SZS status Theorem for theBenchmark
% 0.19/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.51 % (8616)------------------------------
% 0.19/0.51 % (8616)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (8616)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.51 % (8616)Termination reason: Refutation
% 0.19/0.51
% 0.19/0.51 % (8616)Memory used [KB]: 5884
% 0.19/0.51 % (8616)Time elapsed: 0.055 s
% 0.19/0.51 % (8616)Instructions burned: 3 (million)
% 0.19/0.51 % (8616)------------------------------
% 0.19/0.51 % (8616)------------------------------
% 0.19/0.51 % (8595)Success in time 0.16 s
%------------------------------------------------------------------------------