%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : PUZ012_1 : TPTP v9.0.0. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n007.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 Apr 9 08:25:00 PM UTC 2025
% Result : Theorem 3.79s 2.04s
% Output : CNFRefutation 3.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 18 unt; 0 typ; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 49 ( 24 ~; 19 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 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 : 24 ( 24 !; 0 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
%$ label > equal_fruits > equal_boxes > contains > #nlpp > oranges > boxc > boxb > boxa > bananas > apples
%Foreground sorts:
tff(box,type,
box: $tType ).
tff(fruit,type,
fruit: $tType ).
%Background operators:
%Foreground operators:
tff(bananas,type,
bananas: fruit ).
tff(boxc,type,
boxc: box ).
tff(oranges,type,
oranges: fruit ).
tff(boxa,type,
boxa: box ).
tff(equal_boxes,type,
equal_boxes: ( box * box ) > $o ).
tff(apples,type,
apples: fruit ).
tff(equal_fruits,type,
equal_fruits: ( fruit * fruit ) > $o ).
tff(contains,type,
contains: ( box * fruit ) > $o ).
tff(boxb,type,
boxb: box ).
tff(label,type,
label: ( box * fruit ) > $o ).
tff(f_83,hypothesis,
contains(boxb,apples),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',boxb_contains_apples) ).
tff(f_82,hypothesis,
label(boxc,bananas),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',boxc_labelled_bananas) ).
tff(f_43,axiom,
! [X: box,Y: fruit] :
~ ( label(X,Y)
& contains(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',label_is_wrong) ).
tff(f_55,axiom,
! [X: box] :
( contains(X,apples)
| contains(X,bananas)
| contains(X,oranges) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',each_box_contains_something) ).
tff(f_87,negated_conjecture,
~ ( contains(boxa,bananas)
& contains(boxc,oranges) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_boxa_contains_bananas_and_boxc_oranges) ).
tff(f_49,axiom,
! [X: fruit] :
( contains(boxa,X)
| contains(boxb,X)
| contains(boxc,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',each_thing_is_in_a_box) ).
tff(f_61,axiom,
! [X: box,Y: fruit,Z: fruit] :
( ( contains(X,Y)
& contains(X,Z) )
=> equal_fruits(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',contains_is_well_defined1) ).
tff(f_75,axiom,
~ equal_fruits(apples,bananas),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apples_not_bananas) ).
tff(f_67,axiom,
! [X: box,Y: fruit,Z: box] :
( ( contains(X,Y)
& contains(Z,Y) )
=> equal_boxes(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',contains_is_well_defined2) ).
tff(f_71,axiom,
~ equal_boxes(boxb,boxc),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',boxb_not_boxc) ).
tff(c_34,plain,
contains(boxb,apples),
inference(cnfTransformation,[status(thm)],[f_83]) ).
tff(c_32,plain,
label(boxc,bananas),
inference(cnfTransformation,[status(thm)],[f_82]) ).
tff(c_90,plain,
! [X_24: box,Y_25: fruit] :
( ~ contains(X_24,Y_25)
| ~ label(X_24,Y_25) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_101,plain,
~ contains(boxc,bananas),
inference(resolution,[status(thm)],[c_32,c_90]) ).
tff(c_135,plain,
! [X_33: box] :
( contains(X_33,oranges)
| contains(X_33,bananas)
| contains(X_33,apples) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_36,plain,
( ~ contains(boxc,oranges)
| ~ contains(boxa,bananas) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_39,plain,
~ contains(boxa,bananas),
inference(splitLeft,[status(thm)],[c_36]) ).
tff(c_67,plain,
! [X_22: fruit] :
( contains(boxc,X_22)
| contains(boxb,X_22)
| contains(boxa,X_22) ),
inference(cnfTransformation,[status(thm)],[f_49]) ).
tff(c_40,plain,
! [X_15: box,Y_16: fruit] :
( ~ contains(X_15,Y_16)
| ~ label(X_15,Y_16) ),
inference(cnfTransformation,[status(thm)],[f_43]) ).
tff(c_51,plain,
~ contains(boxc,bananas),
inference(resolution,[status(thm)],[c_32,c_40]) ).
tff(c_72,plain,
( contains(boxb,bananas)
| contains(boxa,bananas) ),
inference(resolution,[status(thm)],[c_67,c_51]) ).
tff(c_76,plain,
contains(boxb,bananas),
inference(negUnitSimplification,[status(thm)],[c_39,c_72]) ).
tff(c_12,plain,
! [Y_8: fruit,Z_9: fruit,X_7: box] :
( equal_fruits(Y_8,Z_9)
| ~ contains(X_7,Z_9)
| ~ contains(X_7,Y_8) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_80,plain,
! [Y_23: fruit] :
( equal_fruits(Y_23,bananas)
| ~ contains(boxb,Y_23) ),
inference(resolution,[status(thm)],[c_76,c_12]) ).
tff(c_22,plain,
~ equal_fruits(apples,bananas),
inference(cnfTransformation,[status(thm)],[f_75]) ).
tff(c_83,plain,
~ contains(boxb,apples),
inference(resolution,[status(thm)],[c_80,c_22]) ).
tff(c_87,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_83]) ).
tff(c_88,plain,
~ contains(boxc,oranges),
inference(splitRight,[status(thm)],[c_36]) ).
tff(c_143,plain,
( contains(boxc,bananas)
| contains(boxc,apples) ),
inference(resolution,[status(thm)],[c_135,c_88]) ).
tff(c_149,plain,
contains(boxc,apples),
inference(negUnitSimplification,[status(thm)],[c_101,c_143]) ).
tff(c_14,plain,
! [X_10: box,Z_12: box,Y_11: fruit] :
( equal_boxes(X_10,Z_12)
| ~ contains(Z_12,Y_11)
| ~ contains(X_10,Y_11) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_153,plain,
! [X_34: box] :
( equal_boxes(X_34,boxc)
| ~ contains(X_34,apples) ),
inference(resolution,[status(thm)],[c_149,c_14]) ).
tff(c_18,plain,
~ equal_boxes(boxb,boxc),
inference(cnfTransformation,[status(thm)],[f_71]) ).
tff(c_156,plain,
~ contains(boxb,apples),
inference(resolution,[status(thm)],[c_153,c_18]) ).
tff(c_163,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34,c_156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : PUZ012_1 : TPTP v9.0.0. Released v5.0.0.
% 0.13/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n007.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 8 17:07:54 EDT 2025
% 0.15/0.37 % CPUTime :
% 3.79/2.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.79/2.05
% 3.79/2.05 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------