TSTP Solution File: PUZ012_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ012_1 : TPTP v8.1.2. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 : Sun May 5 08:49:33 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 21
% Syntax : Number of formulae : 47 ( 16 unt; 12 typ; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 26 ~; 22 |; 4 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 8 ( 4 >; 4 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 22 ( 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
box: $tType ).
tff(type_def_6,type,
fruit: $tType ).
tff(func_def_0,type,
boxa: box ).
tff(func_def_1,type,
boxb: box ).
tff(func_def_2,type,
boxc: box ).
tff(func_def_3,type,
apples: fruit ).
tff(func_def_4,type,
bananas: fruit ).
tff(func_def_5,type,
oranges: fruit ).
tff(pred_def_1,type,
equal_fruits: ( fruit * fruit ) > $o ).
tff(pred_def_2,type,
equal_boxes: ( box * box ) > $o ).
tff(pred_def_3,type,
contains: ( box * fruit ) > $o ).
tff(pred_def_4,type,
label: ( box * fruit ) > $o ).
tff(f106,plain,
$false,
inference(subsumption_resolution,[],[f101,f32]) ).
tff(f32,plain,
~ equal_fruits(bananas,oranges),
inference(cnf_transformation,[],[f12]) ).
tff(f12,axiom,
~ equal_fruits(bananas,oranges),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bananas_not_oranges) ).
tff(f101,plain,
equal_fruits(bananas,oranges),
inference(resolution,[],[f93,f85]) ).
tff(f85,plain,
contains(boxa,bananas),
inference(subsumption_resolution,[],[f81,f36]) ).
tff(f36,plain,
~ equal_fruits(apples,bananas),
inference(cnf_transformation,[],[f11]) ).
tff(f11,axiom,
~ equal_fruits(apples,bananas),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apples_not_bananas) ).
tff(f81,plain,
( equal_fruits(apples,bananas)
| contains(boxa,bananas) ),
inference(resolution,[],[f54,f30]) ).
tff(f30,plain,
contains(boxb,apples),
inference(cnf_transformation,[],[f17]) ).
tff(f17,axiom,
contains(boxb,apples),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxb_contains_apples) ).
tff(f54,plain,
! [X0: fruit] :
( ~ contains(boxb,X0)
| equal_fruits(X0,bananas)
| contains(boxa,bananas) ),
inference(resolution,[],[f42,f51]) ).
tff(f51,plain,
( contains(boxb,bananas)
| contains(boxa,bananas) ),
inference(resolution,[],[f40,f45]) ).
tff(f45,plain,
~ contains(boxc,bananas),
inference(resolution,[],[f41,f28]) ).
tff(f28,plain,
label(boxc,bananas),
inference(cnf_transformation,[],[f16]) ).
tff(f16,axiom,
label(boxc,bananas),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxc_labelled_bananas) ).
tff(f41,plain,
! [X0: box,X1: fruit] :
( ~ label(X0,X1)
| ~ contains(X0,X1) ),
inference(cnf_transformation,[],[f21]) ).
tff(f21,plain,
! [X0: box,X1: fruit] :
( ~ contains(X0,X1)
| ~ label(X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
tff(f3,axiom,
! [X0: box,X1: fruit] :
~ ( contains(X0,X1)
& label(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',label_is_wrong) ).
tff(f40,plain,
! [X0: fruit] :
( contains(boxc,X0)
| contains(boxb,X0)
| contains(boxa,X0) ),
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
! [X0: fruit] :
( contains(boxc,X0)
| contains(boxb,X0)
| contains(boxa,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',each_thing_is_in_a_box) ).
tff(f42,plain,
! [X2: fruit,X0: box,X1: fruit] :
( ~ contains(X0,X2)
| equal_fruits(X1,X2)
| ~ contains(X0,X1) ),
inference(cnf_transformation,[],[f23]) ).
tff(f23,plain,
! [X0: box,X1: fruit,X2: fruit] :
( equal_fruits(X1,X2)
| ~ contains(X0,X2)
| ~ contains(X0,X1) ),
inference(flattening,[],[f22]) ).
tff(f22,plain,
! [X0: box,X1: fruit,X2: fruit] :
( equal_fruits(X1,X2)
| ~ contains(X0,X2)
| ~ contains(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
tff(f6,axiom,
! [X0: box,X1: fruit,X2: fruit] :
( ( contains(X0,X2)
& contains(X0,X1) )
=> equal_fruits(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contains_is_well_defined1) ).
tff(f93,plain,
! [X0: fruit] :
( ~ contains(boxa,X0)
| equal_fruits(X0,oranges) ),
inference(resolution,[],[f86,f42]) ).
tff(f86,plain,
contains(boxa,oranges),
inference(resolution,[],[f85,f52]) ).
tff(f52,plain,
( ~ contains(boxa,bananas)
| contains(boxa,oranges) ),
inference(subsumption_resolution,[],[f50,f46]) ).
tff(f46,plain,
~ contains(boxb,oranges),
inference(resolution,[],[f41,f29]) ).
tff(f29,plain,
label(boxb,oranges),
inference(cnf_transformation,[],[f15]) ).
tff(f15,axiom,
label(boxb,oranges),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxb_labelled_oranges) ).
tff(f50,plain,
( contains(boxb,oranges)
| contains(boxa,oranges)
| ~ contains(boxa,bananas) ),
inference(resolution,[],[f40,f26]) ).
tff(f26,plain,
( ~ contains(boxc,oranges)
| ~ contains(boxa,bananas) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,plain,
( ~ contains(boxc,oranges)
| ~ contains(boxa,bananas) ),
inference(ennf_transformation,[],[f19]) ).
tff(f19,negated_conjecture,
~ ( contains(boxc,oranges)
& contains(boxa,bananas) ),
inference(negated_conjecture,[],[f18]) ).
tff(f18,conjecture,
( contains(boxc,oranges)
& contains(boxa,bananas) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_boxa_contains_bananas_and_boxc_oranges) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ012_1 : TPTP v8.1.2. Released v5.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 18:02:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (26342)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (26347)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (26346)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (26348)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)
% 0.14/0.38 % (26351)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (26349)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (26352)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)
% 0.14/0.38 % (26350)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 Detected minimum model sizes of [1,1]
% 0.14/0.38 Detected maximum model sizes of [3,3]
% 0.14/0.38 Detected minimum model sizes of [1,1]
% 0.14/0.38 Detected maximum model sizes of [3,3]
% 0.14/0.38 Detected minimum model sizes of [1,1]
% 0.14/0.38 Detected maximum model sizes of [3,3]
% 0.14/0.38 Detected minimum model sizes of [1,1]
% 0.14/0.38 Detected maximum model sizes of [3,3]
% 0.14/0.38 TRYING [1,1]
% 0.14/0.38 TRYING [1,1]
% 0.14/0.38 TRYING [1,2]
% 0.14/0.38 TRYING [1,1]
% 0.14/0.38 TRYING [1,2]
% 0.14/0.38 TRYING [1,3]
% 0.14/0.38 % (26348)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [1,1]
% 0.14/0.38 % (26350)First to succeed.
% 0.14/0.38 TRYING [1,2]
% 0.14/0.38 TRYING [1,2]
% 0.14/0.38 TRYING [2,2]
% 0.14/0.38 TRYING [2,3]
% 0.14/0.38 % (26351)Also succeeded, but the first one will report.
% 0.14/0.38 TRYING [1,3]
% 0.14/0.38 TRYING [2,2]
% 0.14/0.38 TRYING [3,3]
% 0.14/0.38 TRYING [2,3]
% 0.14/0.38 TRYING [2,3]
% 0.14/0.38 % (26350)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-26342"
% 0.14/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.38 % (26346)Refutation not found, incomplete strategy% (26346)------------------------------
% 0.14/0.38 % (26346)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (26346)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38 % (26346)Memory used [KB]: 728
% 0.14/0.38 % (26346)Time elapsed: 0.005 s
% 0.14/0.38 % (26346)Instructions burned: 5 (million)
% 0.14/0.38 TRYING [2,3]
% 0.14/0.38 TRYING [3,3]
% 0.14/0.38 % (26346)------------------------------
% 0.14/0.38 % (26346)------------------------------
% 0.14/0.38 TRYING [3,3]
% 0.14/0.38 Cannot enumerate next child to try in an incomplete setup
% 0.14/0.38 % (26352)Refutation not found, incomplete strategy% (26352)------------------------------
% 0.14/0.38 % (26352)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (26352)Termination reason: Refutation not found, incomplete strategy
% 0.14/0.38
% 0.14/0.38 % (26352)Memory used [KB]: 732
% 0.14/0.38 % (26352)Time elapsed: 0.005 s
% 0.14/0.38 % (26352)Instructions burned: 5 (million)
% 0.14/0.38 TRYING [3,3]
% 0.14/0.38 % (26350)Refutation found. Thanks to Tanya!
% 0.14/0.38 % SZS status Theorem for theBenchmark
% 0.14/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.38 % (26350)------------------------------
% 0.14/0.38 % (26350)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.38 % (26350)Termination reason: Refutation
% 0.14/0.38
% 0.14/0.38 % (26350)Memory used [KB]: 753
% 0.14/0.38 % (26350)Time elapsed: 0.004 s
% 0.14/0.38 % (26350)Instructions burned: 4 (million)
% 0.14/0.38 % (26342)Success in time 0.02 s
%------------------------------------------------------------------------------