TSTP Solution File: PUZ047+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ047+1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.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 : Tue Apr 30 14:45:05 EDT 2024
% Result : Theorem 0.13s 0.37s
% Output : Refutation 0.13s
% 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 : 19 ( 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,f7]) ).
fof(f7,plain,
p(south,south,south,south,start),
inference(cnf_transformation,[],[f6]) ).
fof(f6,plain,
( ! [X0] : ~ p(north,north,north,north,X0)
& ! [X1] :
( p(south,south,north,south,take_cabbage(X1))
| ~ p(north,south,north,north,X1) )
& ! [X2] :
( p(north,south,north,north,take_cabbage(X2))
| ~ p(south,south,north,south,X2) )
& ! [X3] :
( p(south,north,south,south,take_cabbage(X3))
| ~ p(north,north,south,north,X3) )
& ! [X4] :
( p(north,north,south,north,take_cabbage(X4))
| ~ p(south,north,south,south,X4) )
& ! [X5,X6,X7] :
( p(south,X5,south,X6,take_goat(X7))
| ~ p(north,X5,north,X6,X7) )
& ! [X8,X9,X10] :
( p(north,X8,north,X9,take_goat(X10))
| ~ p(south,X8,south,X9,X10) )
& ! [X11] :
( p(south,south,north,south,take_wolf(X11))
| ~ p(north,north,north,south,X11) )
& ! [X12] :
( p(north,north,north,south,take_wolf(X12))
| ~ p(south,south,north,south,X12) )
& ! [X13] :
( p(south,south,south,north,take_wolf(X13))
| ~ p(north,north,south,north,X13) )
& ! [X14] :
( p(north,north,south,north,take_wolf(X14))
| ~ p(south,south,south,north,X14) )
& ! [X15] :
( p(south,south,north,south,go_alone(X15))
| ~ p(north,south,north,south,X15) )
& ! [X16] :
( p(north,south,north,south,go_alone(X16))
| ~ p(south,south,north,south,X16) )
& ! [X17] :
( p(south,north,south,north,go_alone(X17))
| ~ p(north,north,south,north,X17) )
& ! [X18] :
( p(north,north,south,north,go_alone(X18))
| ~ p(south,north,south,north,X18) )
& p(south,south,south,south,start) ),
inference(rectify,[],[f5]) ).
fof(f5,plain,
( ! [X18] : ~ p(north,north,north,north,X18)
& ! [X0] :
( p(south,south,north,south,take_cabbage(X0))
| ~ p(north,south,north,north,X0) )
& ! [X1] :
( p(north,south,north,north,take_cabbage(X1))
| ~ p(south,south,north,south,X1) )
& ! [X2] :
( p(south,north,south,south,take_cabbage(X2))
| ~ p(north,north,south,north,X2) )
& ! [X3] :
( p(north,north,south,north,take_cabbage(X3))
| ~ p(south,north,south,south,X3) )
& ! [X4,X5,X6] :
( p(south,X4,south,X5,take_goat(X6))
| ~ p(north,X4,north,X5,X6) )
& ! [X7,X8,X9] :
( p(north,X7,north,X8,take_goat(X9))
| ~ p(south,X7,south,X8,X9) )
& ! [X10] :
( p(south,south,north,south,take_wolf(X10))
| ~ p(north,north,north,south,X10) )
& ! [X11] :
( p(north,north,north,south,take_wolf(X11))
| ~ p(south,south,north,south,X11) )
& ! [X12] :
( p(south,south,south,north,take_wolf(X12))
| ~ p(north,north,south,north,X12) )
& ! [X13] :
( p(north,north,south,north,take_wolf(X13))
| ~ p(south,south,south,north,X13) )
& ! [X14] :
( p(south,south,north,south,go_alone(X14))
| ~ p(north,south,north,south,X14) )
& ! [X15] :
( p(north,south,north,south,go_alone(X15))
| ~ p(south,south,north,south,X15) )
& ! [X16] :
( p(south,north,south,north,go_alone(X16))
| ~ p(north,north,south,north,X16) )
& ! [X17] :
( p(north,north,south,north,go_alone(X17))
| ~ p(south,north,south,north,X17) )
& p(south,south,south,south,start) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ! [X18] : ~ p(north,north,north,north,X18)
& ! [X0] :
( p(south,south,north,south,take_cabbage(X0))
| ~ p(north,south,north,north,X0) )
& ! [X1] :
( p(north,south,north,north,take_cabbage(X1))
| ~ p(south,south,north,south,X1) )
& ! [X2] :
( p(south,north,south,south,take_cabbage(X2))
| ~ p(north,north,south,north,X2) )
& ! [X3] :
( p(north,north,south,north,take_cabbage(X3))
| ~ p(south,north,south,south,X3) )
& ! [X4,X5,X6] :
( p(south,X4,south,X5,take_goat(X6))
| ~ p(north,X4,north,X5,X6) )
& ! [X7,X8,X9] :
( p(north,X7,north,X8,take_goat(X9))
| ~ p(south,X7,south,X8,X9) )
& ! [X10] :
( p(south,south,north,south,take_wolf(X10))
| ~ p(north,north,north,south,X10) )
& ! [X11] :
( p(north,north,north,south,take_wolf(X11))
| ~ p(south,south,north,south,X11) )
& ! [X12] :
( p(south,south,south,north,take_wolf(X12))
| ~ p(north,north,south,north,X12) )
& ! [X13] :
( p(north,north,south,north,take_wolf(X13))
| ~ p(south,south,south,north,X13) )
& ! [X14] :
( p(south,south,north,south,go_alone(X14))
| ~ p(north,south,north,south,X14) )
& ! [X15] :
( p(north,south,north,south,go_alone(X15))
| ~ p(south,south,north,south,X15) )
& ! [X16] :
( p(south,north,south,north,go_alone(X16))
| ~ p(north,north,south,north,X16) )
& ! [X17] :
( p(north,north,south,north,go_alone(X17))
| ~ p(south,north,south,north,X17) )
& p(south,south,south,south,start) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ( ! [X0] :
( p(north,south,north,north,X0)
=> p(south,south,north,south,take_cabbage(X0)) )
& ! [X1] :
( p(south,south,north,south,X1)
=> p(north,south,north,north,take_cabbage(X1)) )
& ! [X2] :
( p(north,north,south,north,X2)
=> p(south,north,south,south,take_cabbage(X2)) )
& ! [X3] :
( p(south,north,south,south,X3)
=> p(north,north,south,north,take_cabbage(X3)) )
& ! [X4,X5,X6] :
( p(north,X4,north,X5,X6)
=> p(south,X4,south,X5,take_goat(X6)) )
& ! [X7,X8,X9] :
( p(south,X7,south,X8,X9)
=> p(north,X7,north,X8,take_goat(X9)) )
& ! [X10] :
( p(north,north,north,south,X10)
=> p(south,south,north,south,take_wolf(X10)) )
& ! [X11] :
( p(south,south,north,south,X11)
=> p(north,north,north,south,take_wolf(X11)) )
& ! [X12] :
( p(north,north,south,north,X12)
=> p(south,south,south,north,take_wolf(X12)) )
& ! [X13] :
( p(south,south,south,north,X13)
=> p(north,north,south,north,take_wolf(X13)) )
& ! [X14] :
( p(north,south,north,south,X14)
=> p(south,south,north,south,go_alone(X14)) )
& ! [X15] :
( p(south,south,north,south,X15)
=> p(north,south,north,south,go_alone(X15)) )
& ! [X16] :
( p(north,north,south,north,X16)
=> p(south,north,south,north,go_alone(X16)) )
& ! [X17] :
( p(south,north,south,north,X17)
=> p(north,north,south,north,go_alone(X17)) )
& p(south,south,south,south,start) )
=> ? [X18] : p(north,north,north,north,X18) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ( ! [X17] :
( p(north,south,north,north,X17)
=> p(south,south,north,south,take_cabbage(X17)) )
& ! [X16] :
( p(south,south,north,south,X16)
=> p(north,south,north,north,take_cabbage(X16)) )
& ! [X15] :
( p(north,north,south,north,X15)
=> p(south,north,south,south,take_cabbage(X15)) )
& ! [X14] :
( p(south,north,south,south,X14)
=> p(north,north,south,north,take_cabbage(X14)) )
& ! [X11,X12,X13] :
( p(north,X11,north,X12,X13)
=> p(south,X11,south,X12,take_goat(X13)) )
& ! [X8,X9,X10] :
( p(south,X8,south,X9,X10)
=> p(north,X8,north,X9,take_goat(X10)) )
& ! [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)) )
& ! [X4] :
( p(south,south,south,north,X4)
=> p(north,north,south,north,take_wolf(X4)) )
& ! [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)) )
& ! [X1] :
( p(north,north,south,north,X1)
=> p(south,north,south,north,go_alone(X1)) )
& ! [X0] :
( p(south,north,south,north,X0)
=> p(north,north,south,north,go_alone(X0)) )
& p(south,south,south,south,start) )
=> ? [X18] : p(north,north,north,north,X18) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ( ! [X17] :
( p(north,south,north,north,X17)
=> p(south,south,north,south,take_cabbage(X17)) )
& ! [X16] :
( p(south,south,north,south,X16)
=> p(north,south,north,north,take_cabbage(X16)) )
& ! [X15] :
( p(north,north,south,north,X15)
=> p(south,north,south,south,take_cabbage(X15)) )
& ! [X14] :
( p(south,north,south,south,X14)
=> p(north,north,south,north,take_cabbage(X14)) )
& ! [X11,X12,X13] :
( p(north,X11,north,X12,X13)
=> p(south,X11,south,X12,take_goat(X13)) )
& ! [X8,X9,X10] :
( p(south,X8,south,X9,X10)
=> p(north,X8,north,X9,take_goat(X10)) )
& ! [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)) )
& ! [X4] :
( p(south,south,south,north,X4)
=> p(north,north,south,north,take_wolf(X4)) )
& ! [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)) )
& ! [X1] :
( p(north,north,south,north,X1)
=> p(south,north,south,north,go_alone(X1)) )
& ! [X0] :
( p(south,north,south,north,X0)
=> p(north,north,south,north,go_alone(X0)) )
& p(south,south,south,south,start) )
=> ? [X18] : p(north,north,north,north,X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm100) ).
fof(f39,plain,
! [X0] : ~ p(south,south,south,south,X0),
inference(resolution,[],[f32,f16]) ).
fof(f16,plain,
! [X10,X8,X9] :
( p(north,X8,north,X9,take_goat(X10))
| ~ p(south,X8,south,X9,X10) ),
inference(cnf_transformation,[],[f6]) ).
fof(f32,plain,
! [X0] : ~ p(north,south,north,south,X0),
inference(resolution,[],[f30,f11]) ).
fof(f11,plain,
! [X15] :
( p(south,south,north,south,go_alone(X15))
| ~ p(north,south,north,south,X15) ),
inference(cnf_transformation,[],[f6]) ).
fof(f30,plain,
! [X0] : ~ p(south,south,north,south,X0),
inference(resolution,[],[f29,f14]) ).
fof(f14,plain,
! [X12] :
( p(north,north,north,south,take_wolf(X12))
| ~ p(south,south,north,south,X12) ),
inference(cnf_transformation,[],[f6]) ).
fof(f29,plain,
! [X0] : ~ p(north,north,north,south,X0),
inference(resolution,[],[f28,f17]) ).
fof(f17,plain,
! [X6,X7,X5] :
( p(south,X5,south,X6,take_goat(X7))
| ~ p(north,X5,north,X6,X7) ),
inference(cnf_transformation,[],[f6]) ).
fof(f28,plain,
! [X4] : ~ p(south,north,south,south,X4),
inference(subsumption_resolution,[],[f18,f24]) ).
fof(f24,plain,
! [X0] : ~ p(north,north,south,north,X0),
inference(resolution,[],[f23,f9]) ).
fof(f9,plain,
! [X17] :
( p(south,north,south,north,go_alone(X17))
| ~ p(north,north,south,north,X17) ),
inference(cnf_transformation,[],[f6]) ).
fof(f23,plain,
! [X0] : ~ p(south,north,south,north,X0),
inference(resolution,[],[f16,f22]) ).
fof(f22,plain,
! [X0] : ~ p(north,north,north,north,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f18,plain,
! [X4] :
( p(north,north,south,north,take_cabbage(X4))
| ~ p(south,north,south,south,X4) ),
inference(cnf_transformation,[],[f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ047+1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 01:51:04 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (18243)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (18247)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (18248)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (18245)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 % (18244)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (18246)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.13/0.37 % (18249)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (18250)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (18249)First to succeed.
% 0.13/0.37 % (18246)Also succeeded, but the first one will report.
% 0.13/0.37 TRYING [1]
% 0.13/0.37 % (18248)Also succeeded, but the first one will report.
% 0.13/0.37 % (18249)Refutation found. Thanks to Tanya!
% 0.13/0.37 % SZS status Theorem for theBenchmark
% 0.13/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.37 % (18249)------------------------------
% 0.13/0.37 % (18249)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.13/0.37 % (18249)Termination reason: Refutation
% 0.13/0.37
% 0.13/0.37 % (18249)Memory used [KB]: 747
% 0.13/0.37 % (18249)Time elapsed: 0.005 s
% 0.13/0.37 % (18249)Instructions burned: 6 (million)
% 0.13/0.37 % (18249)------------------------------
% 0.13/0.37 % (18249)------------------------------
% 0.13/0.37 % (18243)Success in time 0.009 s
%------------------------------------------------------------------------------