TSTP Solution File: PHI009+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PHI009+1 : TPTP v8.1.2. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n021.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 12:54:46 EDT 2023
% Result : Theorem 0.19s 0.57s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 26 ( 4 unt; 8 typ; 0 def)
% Number of atoms : 162 ( 11 equ)
% Maximal formula atoms : 74 ( 9 avg)
% Number of connectives : 249 ( 105 ~; 107 |; 25 &)
% ( 1 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 13 ( 6 >; 7 *; 0 +; 0 <<)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-4 aty)
% Number of variables : 44 ( 1 sgn; 15 !; 5 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
property: $i > $o ).
tff(decl_23,type,
object: $i > $o ).
tff(decl_24,type,
is_the: ( $i * $i ) > $o ).
tff(decl_25,type,
exemplifies_property: ( $i * $i ) > $o ).
tff(decl_26,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_27,type,
esk2_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_28,type,
esk3_0: $i ).
tff(decl_29,type,
esk4_0: $i ).
fof(description_theorem_1,conjecture,
! [X1] :
( property(X1)
=> ( ? [X4] :
( object(X4)
& exemplifies_property(X1,X4)
& ! [X5] :
( object(X5)
=> ( exemplifies_property(X1,X5)
=> X5 = X4 ) ) )
=> ? [X6] :
( object(X6)
& is_the(X6,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_theorem_1) ).
fof(description_axiom_schema_instance,axiom,
! [X1,X2,X3] :
( ( property(X1)
& property(X2)
& object(X3) )
=> ( ( is_the(X3,X1)
& exemplifies_property(X2,X3) )
<=> ? [X4] :
( object(X4)
& exemplifies_property(X1,X4)
& ! [X5] :
( object(X5)
=> ( exemplifies_property(X1,X5)
=> X5 = X4 ) )
& exemplifies_property(X2,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',description_axiom_schema_instance) ).
fof(c_0_2,negated_conjecture,
~ ! [X1] :
( property(X1)
=> ( ? [X4] :
( object(X4)
& exemplifies_property(X1,X4)
& ! [X5] :
( object(X5)
=> ( exemplifies_property(X1,X5)
=> X5 = X4 ) ) )
=> ? [X6] :
( object(X6)
& is_the(X6,X1) ) ) ),
inference(assume_negation,[status(cth)],[description_theorem_1]) ).
fof(c_0_3,negated_conjecture,
! [X16,X17] :
( property(esk3_0)
& object(esk4_0)
& exemplifies_property(esk3_0,esk4_0)
& ( ~ object(X16)
| ~ exemplifies_property(esk3_0,X16)
| X16 = esk4_0 )
& ( ~ object(X17)
| ~ is_the(X17,esk3_0) ) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
fof(c_0_4,plain,
! [X7,X8,X9,X11,X12] :
( ( object(esk1_3(X7,X8,X9))
| ~ is_the(X9,X7)
| ~ exemplifies_property(X8,X9)
| ~ property(X7)
| ~ property(X8)
| ~ object(X9) )
& ( exemplifies_property(X7,esk1_3(X7,X8,X9))
| ~ is_the(X9,X7)
| ~ exemplifies_property(X8,X9)
| ~ property(X7)
| ~ property(X8)
| ~ object(X9) )
& ( ~ object(X11)
| ~ exemplifies_property(X7,X11)
| X11 = esk1_3(X7,X8,X9)
| ~ is_the(X9,X7)
| ~ exemplifies_property(X8,X9)
| ~ property(X7)
| ~ property(X8)
| ~ object(X9) )
& ( exemplifies_property(X8,esk1_3(X7,X8,X9))
| ~ is_the(X9,X7)
| ~ exemplifies_property(X8,X9)
| ~ property(X7)
| ~ property(X8)
| ~ object(X9) )
& ( is_the(X9,X7)
| object(esk2_4(X7,X8,X9,X12))
| ~ object(X12)
| ~ exemplifies_property(X7,X12)
| ~ exemplifies_property(X8,X12)
| ~ property(X7)
| ~ property(X8)
| ~ object(X9) )
& ( exemplifies_property(X8,X9)
| object(esk2_4(X7,X8,X9,X12))
| ~ object(X12)
| ~ exemplifies_property(X7,X12)
| ~ exemplifies_property(X8,X12)
| ~ property(X7)
| ~ property(X8)
| ~ object(X9) )
& ( is_the(X9,X7)
| exemplifies_property(X7,esk2_4(X7,X8,X9,X12))
| ~ object(X12)
| ~ exemplifies_property(X7,X12)
| ~ exemplifies_property(X8,X12)
| ~ property(X7)
| ~ property(X8)
| ~ object(X9) )
& ( exemplifies_property(X8,X9)
| exemplifies_property(X7,esk2_4(X7,X8,X9,X12))
| ~ object(X12)
| ~ exemplifies_property(X7,X12)
| ~ exemplifies_property(X8,X12)
| ~ property(X7)
| ~ property(X8)
| ~ object(X9) )
& ( is_the(X9,X7)
| esk2_4(X7,X8,X9,X12) != X12
| ~ object(X12)
| ~ exemplifies_property(X7,X12)
| ~ exemplifies_property(X8,X12)
| ~ property(X7)
| ~ property(X8)
| ~ object(X9) )
& ( exemplifies_property(X8,X9)
| esk2_4(X7,X8,X9,X12) != X12
| ~ object(X12)
| ~ exemplifies_property(X7,X12)
| ~ exemplifies_property(X8,X12)
| ~ property(X7)
| ~ property(X8)
| ~ object(X9) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[description_axiom_schema_instance])])])])]) ).
cnf(c_0_5,negated_conjecture,
( X1 = esk4_0
| ~ object(X1)
| ~ exemplifies_property(esk3_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_6,plain,
( is_the(X1,X2)
| object(esk2_4(X2,X3,X1,X4))
| ~ object(X4)
| ~ exemplifies_property(X2,X4)
| ~ exemplifies_property(X3,X4)
| ~ property(X2)
| ~ property(X3)
| ~ object(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,negated_conjecture,
( esk2_4(X1,X2,X3,X4) = esk4_0
| is_the(X3,X1)
| ~ exemplifies_property(esk3_0,esk2_4(X1,X2,X3,X4))
| ~ exemplifies_property(X2,X4)
| ~ exemplifies_property(X1,X4)
| ~ object(X4)
| ~ object(X3)
| ~ property(X2)
| ~ property(X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,plain,
( is_the(X1,X2)
| exemplifies_property(X2,esk2_4(X2,X3,X1,X4))
| ~ object(X4)
| ~ exemplifies_property(X2,X4)
| ~ exemplifies_property(X3,X4)
| ~ property(X2)
| ~ property(X3)
| ~ object(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_9,negated_conjecture,
property(esk3_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_10,negated_conjecture,
( ~ object(X1)
| ~ is_the(X1,esk3_0) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_11,plain,
( is_the(X1,X2)
| esk2_4(X2,X3,X1,X4) != X4
| ~ object(X4)
| ~ exemplifies_property(X2,X4)
| ~ exemplifies_property(X3,X4)
| ~ property(X2)
| ~ property(X3)
| ~ object(X1) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_12,negated_conjecture,
( esk2_4(esk3_0,X1,X2,X3) = esk4_0
| ~ exemplifies_property(esk3_0,X3)
| ~ exemplifies_property(X1,X3)
| ~ object(X3)
| ~ object(X2)
| ~ property(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]),c_0_10]) ).
cnf(c_0_13,negated_conjecture,
exemplifies_property(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_14,negated_conjecture,
object(esk4_0),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
cnf(c_0_15,negated_conjecture,
( ~ exemplifies_property(X1,esk4_0)
| ~ object(X2)
| ~ property(X1) ),
inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_9])])]),c_0_13]),c_0_14])]),c_0_10]) ).
cnf(c_0_16,negated_conjecture,
( ~ exemplifies_property(X1,esk4_0)
| ~ property(X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_14]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_9]),c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PHI009+1 : TPTP v8.1.2. Released v7.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Aug 27 08:53:27 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.57 % Version : CSE_E---1.5
% 0.19/0.57 % Problem : theBenchmark.p
% 0.19/0.57 % Proof found
% 0.19/0.57 % SZS status Theorem for theBenchmark.p
% 0.19/0.57 % SZS output start Proof
% See solution above
% 0.19/0.57 % Total time : 0.008000 s
% 0.19/0.57 % SZS output end Proof
% 0.19/0.57 % Total time : 0.010000 s
%------------------------------------------------------------------------------