TSTP Solution File: PUZ012-1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : PUZ012-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 : 600s
% DateTime : Mon Jul 18 18:20:26 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of clauses : 29 ( 11 unt; 6 nHn; 28 RR)
% Number of literals : 54 ( 0 equ; 24 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(label_is_wrong,axiom,
( ~ label(X,Y)
| ~ contains(X,Y) ) ).
cnf(each_thing_is_in_a_box,axiom,
( contains(boxa,X)
| contains(boxb,X)
| contains(boxc,X) ) ).
cnf(contains_is_well_defined1,axiom,
( ~ contains(X,Y)
| ~ contains(X,Z)
| equal_fruits(Y,Z) ) ).
cnf(apples_not_bananas,axiom,
~ equal_fruits(apples,bananas) ).
cnf(bananas_not_oranges,axiom,
~ equal_fruits(bananas,oranges) ).
cnf(boxb_labelled_oranges,hypothesis,
label(boxb,oranges) ).
cnf(boxc_labelled_bananas,hypothesis,
label(boxc,bananas) ).
cnf(boxb_contains_apples,hypothesis,
contains(boxb,apples) ).
cnf(prove_boxa_contains_bananas_and_boxc_oranges,negated_conjecture,
( ~ contains(boxa,bananas)
| ~ contains(boxc,oranges) ) ).
cnf(refute_0_0,plain,
( ~ contains(boxc,bananas)
| ~ label(boxc,bananas) ),
inference(subst,[],[label_is_wrong:[bind(X,$fot(boxc)),bind(Y,$fot(bananas))]]) ).
cnf(refute_0_1,plain,
~ contains(boxc,bananas),
inference(resolve,[$cnf( label(boxc,bananas) )],[boxc_labelled_bananas,refute_0_0]) ).
cnf(refute_0_2,plain,
( contains(boxa,bananas)
| contains(boxb,bananas)
| contains(boxc,bananas) ),
inference(subst,[],[each_thing_is_in_a_box:[bind(X,$fot(bananas))]]) ).
cnf(refute_0_3,plain,
( contains(boxa,bananas)
| contains(boxb,bananas) ),
inference(resolve,[$cnf( contains(boxc,bananas) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
( ~ contains(boxb,X_8)
| ~ contains(boxb,apples)
| equal_fruits(apples,X_8) ),
inference(subst,[],[contains_is_well_defined1:[bind(X,$fot(boxb)),bind(Y,$fot(apples)),bind(Z,$fot(X_8))]]) ).
cnf(refute_0_5,plain,
( ~ contains(boxb,X_8)
| equal_fruits(apples,X_8) ),
inference(resolve,[$cnf( contains(boxb,apples) )],[boxb_contains_apples,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ contains(boxb,bananas)
| equal_fruits(apples,bananas) ),
inference(subst,[],[refute_0_5:[bind(X_8,$fot(bananas))]]) ).
cnf(refute_0_7,plain,
( contains(boxa,bananas)
| equal_fruits(apples,bananas) ),
inference(resolve,[$cnf( contains(boxb,bananas) )],[refute_0_3,refute_0_6]) ).
cnf(refute_0_8,plain,
contains(boxa,bananas),
inference(resolve,[$cnf( equal_fruits(apples,bananas) )],[refute_0_7,apples_not_bananas]) ).
cnf(refute_0_9,plain,
( ~ contains(boxa,Y)
| ~ contains(boxa,oranges)
| equal_fruits(Y,oranges) ),
inference(subst,[],[contains_is_well_defined1:[bind(X,$fot(boxa)),bind(Z,$fot(oranges))]]) ).
cnf(refute_0_10,plain,
( contains(boxa,oranges)
| contains(boxb,oranges)
| contains(boxc,oranges) ),
inference(subst,[],[each_thing_is_in_a_box:[bind(X,$fot(oranges))]]) ).
cnf(refute_0_11,plain,
( ~ contains(boxa,bananas)
| contains(boxa,oranges)
| contains(boxb,oranges) ),
inference(resolve,[$cnf( contains(boxc,oranges) )],[refute_0_10,prove_boxa_contains_bananas_and_boxc_oranges]) ).
cnf(refute_0_12,plain,
( ~ contains(boxb,oranges)
| ~ label(boxb,oranges) ),
inference(subst,[],[label_is_wrong:[bind(X,$fot(boxb)),bind(Y,$fot(oranges))]]) ).
cnf(refute_0_13,plain,
~ contains(boxb,oranges),
inference(resolve,[$cnf( label(boxb,oranges) )],[boxb_labelled_oranges,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ contains(boxa,bananas)
| contains(boxa,oranges) ),
inference(resolve,[$cnf( contains(boxb,oranges) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
contains(boxa,oranges),
inference(resolve,[$cnf( contains(boxa,bananas) )],[refute_0_8,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ contains(boxa,Y)
| equal_fruits(Y,oranges) ),
inference(resolve,[$cnf( contains(boxa,oranges) )],[refute_0_15,refute_0_9]) ).
cnf(refute_0_17,plain,
( ~ contains(boxa,bananas)
| equal_fruits(bananas,oranges) ),
inference(subst,[],[refute_0_16:[bind(Y,$fot(bananas))]]) ).
cnf(refute_0_18,plain,
equal_fruits(bananas,oranges),
inference(resolve,[$cnf( contains(boxa,bananas) )],[refute_0_8,refute_0_17]) ).
cnf(refute_0_19,plain,
$false,
inference(resolve,[$cnf( equal_fruits(bananas,oranges) )],[refute_0_18,bananas_not_oranges]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ012-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun May 29 03:17:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.19/0.35
%------------------------------------------------------------------------------