TSTP Solution File: PUZ012-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PUZ012-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n016.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 : Thu Aug 31 13:11:42 EDT 2023
% Result : Unsatisfiable 0.19s 0.58s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 21
% Syntax : Number of formulae : 42 ( 19 unt; 10 typ; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 42 ( 23 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 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 : 16 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
equal_fruits: ( $i * $i ) > $o ).
tff(decl_23,type,
equal_boxes: ( $i * $i ) > $o ).
tff(decl_24,type,
label: ( $i * $i ) > $o ).
tff(decl_25,type,
contains: ( $i * $i ) > $o ).
tff(decl_26,type,
boxa: $i ).
tff(decl_27,type,
boxb: $i ).
tff(decl_28,type,
boxc: $i ).
tff(decl_29,type,
apples: $i ).
tff(decl_30,type,
bananas: $i ).
tff(decl_31,type,
oranges: $i ).
cnf(label_is_wrong,axiom,
( ~ label(X1,X2)
| ~ contains(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',label_is_wrong) ).
cnf(boxb_labelled_oranges,hypothesis,
label(boxb,oranges),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxb_labelled_oranges) ).
cnf(prove_boxa_contains_bananas_and_boxc_oranges,negated_conjecture,
( ~ contains(boxa,bananas)
| ~ contains(boxc,oranges) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_boxa_contains_bananas_and_boxc_oranges) ).
cnf(each_thing_is_in_a_box,axiom,
( contains(boxa,X1)
| contains(boxb,X1)
| contains(boxc,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',each_thing_is_in_a_box) ).
cnf(boxa_labelled_apples,hypothesis,
label(boxa,apples),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxa_labelled_apples) ).
cnf(each_box_contains_something,axiom,
( contains(X1,apples)
| contains(X1,bananas)
| contains(X1,oranges) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',each_box_contains_something) ).
cnf(contains_is_well_defined1,axiom,
( equal_fruits(X2,X3)
| ~ contains(X1,X2)
| ~ contains(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contains_is_well_defined1) ).
cnf(boxc_labelled_bananas,hypothesis,
label(boxc,bananas),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxc_labelled_bananas) ).
cnf(bananas_not_oranges,axiom,
~ equal_fruits(bananas,oranges),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bananas_not_oranges) ).
cnf(apples_not_bananas,axiom,
~ equal_fruits(apples,bananas),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apples_not_bananas) ).
cnf(boxb_contains_apples,hypothesis,
contains(boxb,apples),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxb_contains_apples) ).
cnf(c_0_11,axiom,
( ~ label(X1,X2)
| ~ contains(X1,X2) ),
label_is_wrong ).
cnf(c_0_12,hypothesis,
label(boxb,oranges),
boxb_labelled_oranges ).
cnf(c_0_13,negated_conjecture,
( ~ contains(boxa,bananas)
| ~ contains(boxc,oranges) ),
prove_boxa_contains_bananas_and_boxc_oranges ).
cnf(c_0_14,axiom,
( contains(boxa,X1)
| contains(boxb,X1)
| contains(boxc,X1) ),
each_thing_is_in_a_box ).
cnf(c_0_15,hypothesis,
~ contains(boxb,oranges),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_16,hypothesis,
label(boxa,apples),
boxa_labelled_apples ).
cnf(c_0_17,negated_conjecture,
( contains(boxa,oranges)
| ~ contains(boxa,bananas) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
cnf(c_0_18,axiom,
( contains(X1,apples)
| contains(X1,bananas)
| contains(X1,oranges) ),
each_box_contains_something ).
cnf(c_0_19,hypothesis,
~ contains(boxa,apples),
inference(spm,[status(thm)],[c_0_11,c_0_16]) ).
cnf(c_0_20,axiom,
( equal_fruits(X2,X3)
| ~ contains(X1,X2)
| ~ contains(X1,X3) ),
contains_is_well_defined1 ).
cnf(c_0_21,negated_conjecture,
contains(boxa,oranges),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_22,hypothesis,
label(boxc,bananas),
boxc_labelled_bananas ).
cnf(c_0_23,axiom,
~ equal_fruits(bananas,oranges),
bananas_not_oranges ).
cnf(c_0_24,negated_conjecture,
( equal_fruits(X1,oranges)
| ~ contains(boxa,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_25,hypothesis,
~ contains(boxc,bananas),
inference(spm,[status(thm)],[c_0_11,c_0_22]) ).
cnf(c_0_26,negated_conjecture,
~ contains(boxa,bananas),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,hypothesis,
contains(boxb,bananas),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_14]),c_0_26]) ).
cnf(c_0_28,axiom,
~ equal_fruits(apples,bananas),
apples_not_bananas ).
cnf(c_0_29,hypothesis,
( equal_fruits(X1,bananas)
| ~ contains(boxb,X1) ),
inference(spm,[status(thm)],[c_0_20,c_0_27]) ).
cnf(c_0_30,hypothesis,
contains(boxb,apples),
boxb_contains_apples ).
cnf(c_0_31,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PUZ012-1 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n016.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 : Sat Aug 26 23:23:43 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.58 % Version : CSE_E---1.5
% 0.19/0.58 % Problem : theBenchmark.p
% 0.19/0.58 % Proof found
% 0.19/0.58 % SZS status Theorem for theBenchmark.p
% 0.19/0.58 % SZS output start Proof
% See solution above
% 0.19/0.58 % Total time : 0.005000 s
% 0.19/0.58 % SZS output end Proof
% 0.19/0.58 % Total time : 0.008000 s
%------------------------------------------------------------------------------