TSTP Solution File: PHI015+1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PHI015+1 : TPTP v8.1.2. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n018.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 12:54:48 EDT 2023
% Result : Theorem 0.21s 0.60s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 24
% Syntax : Number of formulae : 50 ( 7 unt; 17 typ; 0 def)
% Number of atoms : 205 ( 24 equ)
% Maximal formula atoms : 74 ( 6 avg)
% Number of connectives : 293 ( 121 ~; 126 |; 34 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 11 >; 14 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-4 aty)
% Number of variables : 54 ( 3 sgn; 23 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
object: $i > $o ).
tff(decl_23,type,
property: $i > $o ).
tff(decl_24,type,
exemplifies_property: ( $i * $i ) > $o ).
tff(decl_25,type,
is_the: ( $i * $i ) > $o ).
tff(decl_26,type,
greater_than: $i ).
tff(decl_27,type,
exemplifies_relation: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
none_greater: $i ).
tff(decl_29,type,
conceivable: $i ).
tff(decl_30,type,
existence: $i ).
tff(decl_31,type,
god: $i ).
tff(decl_32,type,
esk1_3: ( $i * $i * $i ) > $i ).
tff(decl_33,type,
esk2_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_34,type,
esk3_3: ( $i * $i * $i ) > $i ).
tff(decl_35,type,
esk4_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_36,type,
esk5_1: $i > $i ).
tff(decl_37,type,
esk6_0: $i ).
tff(decl_38,type,
esk7_1: $i > $i ).
fof(premise_2,axiom,
! [X1] :
( object(X1)
=> ( ( is_the(X1,none_greater)
& ~ exemplifies_property(existence,X1) )
=> ? [X4] :
( object(X4)
& exemplifies_relation(greater_than,X4,X1)
& exemplifies_property(conceivable,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_2) ).
fof(definition_none_greater,axiom,
! [X1] :
( object(X1)
=> ( exemplifies_property(none_greater,X1)
<=> ( exemplifies_property(conceivable,X1)
& ~ ? [X4] :
( object(X4)
& exemplifies_relation(greater_than,X4,X1)
& exemplifies_property(conceivable,X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_none_greater) ).
fof(exemplifier_is_object_and_exemplified_is_property,axiom,
! [X1,X2] :
( exemplifies_property(X2,X1)
=> ( property(X2)
& object(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',exemplifier_is_object_and_exemplified_is_property) ).
fof(description_is_property_and_described_is_object,axiom,
! [X1,X2] :
( is_the(X1,X2)
=> ( property(X2)
& object(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_is_property_and_described_is_object) ).
fof(description_axiom_identity_instance,axiom,
! [X2,X1,X6] :
( ( property(X2)
& object(X1)
& object(X6) )
=> ( ( is_the(X1,X2)
& X1 = X6 )
<=> ? [X4] :
( object(X4)
& exemplifies_property(X2,X4)
& ! [X5] :
( object(X5)
=> ( exemplifies_property(X2,X5)
=> X5 = X4 ) )
& X4 = X6 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_axiom_identity_instance) ).
fof(god_exists,conjecture,
exemplifies_property(existence,god),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',god_exists) ).
fof(definition_god,axiom,
is_the(god,none_greater),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_god) ).
fof(c_0_7,plain,
! [X1] :
( object(X1)
=> ( ( is_the(X1,none_greater)
& ~ exemplifies_property(existence,X1) )
=> ? [X4] :
( object(X4)
& exemplifies_relation(greater_than,X4,X1)
& exemplifies_property(conceivable,X4) ) ) ),
inference(fof_simplification,[status(thm)],[premise_2]) ).
fof(c_0_8,plain,
! [X28,X29] :
( ( exemplifies_property(conceivable,X28)
| ~ exemplifies_property(none_greater,X28)
| ~ object(X28) )
& ( ~ object(X29)
| ~ exemplifies_relation(greater_than,X29,X28)
| ~ exemplifies_property(conceivable,X29)
| ~ exemplifies_property(none_greater,X28)
| ~ object(X28) )
& ( object(esk5_1(X28))
| ~ exemplifies_property(conceivable,X28)
| exemplifies_property(none_greater,X28)
| ~ object(X28) )
& ( exemplifies_relation(greater_than,esk5_1(X28),X28)
| ~ exemplifies_property(conceivable,X28)
| exemplifies_property(none_greater,X28)
| ~ object(X28) )
& ( exemplifies_property(conceivable,esk5_1(X28))
| ~ exemplifies_property(conceivable,X28)
| exemplifies_property(none_greater,X28)
| ~ object(X28) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[definition_none_greater])])])])]) ).
fof(c_0_9,plain,
! [X8,X9] :
( ( property(X9)
| ~ exemplifies_property(X9,X8) )
& ( object(X8)
| ~ exemplifies_property(X9,X8) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[exemplifier_is_object_and_exemplified_is_property])])]) ).
fof(c_0_10,plain,
! [X32] :
( ( object(esk7_1(X32))
| ~ is_the(X32,none_greater)
| exemplifies_property(existence,X32)
| ~ object(X32) )
& ( exemplifies_relation(greater_than,esk7_1(X32),X32)
| ~ is_the(X32,none_greater)
| exemplifies_property(existence,X32)
| ~ object(X32) )
& ( exemplifies_property(conceivable,esk7_1(X32))
| ~ is_the(X32,none_greater)
| exemplifies_property(existence,X32)
| ~ object(X32) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_11,plain,
! [X10,X11] :
( ( property(X11)
| ~ is_the(X10,X11) )
& ( object(X10)
| ~ is_the(X10,X11) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[description_is_property_and_described_is_object])])]) ).
fof(c_0_12,plain,
! [X19,X20,X21,X23,X24] :
( ( object(esk3_3(X19,X20,X21))
| ~ is_the(X20,X19)
| X20 != X21
| ~ property(X19)
| ~ object(X20)
| ~ object(X21) )
& ( exemplifies_property(X19,esk3_3(X19,X20,X21))
| ~ is_the(X20,X19)
| X20 != X21
| ~ property(X19)
| ~ object(X20)
| ~ object(X21) )
& ( ~ object(X23)
| ~ exemplifies_property(X19,X23)
| X23 = esk3_3(X19,X20,X21)
| ~ is_the(X20,X19)
| X20 != X21
| ~ property(X19)
| ~ object(X20)
| ~ object(X21) )
& ( esk3_3(X19,X20,X21) = X21
| ~ is_the(X20,X19)
| X20 != X21
| ~ property(X19)
| ~ object(X20)
| ~ object(X21) )
& ( is_the(X20,X19)
| object(esk4_4(X19,X20,X21,X24))
| ~ object(X24)
| ~ exemplifies_property(X19,X24)
| X24 != X21
| ~ property(X19)
| ~ object(X20)
| ~ object(X21) )
& ( X20 = X21
| object(esk4_4(X19,X20,X21,X24))
| ~ object(X24)
| ~ exemplifies_property(X19,X24)
| X24 != X21
| ~ property(X19)
| ~ object(X20)
| ~ object(X21) )
& ( is_the(X20,X19)
| exemplifies_property(X19,esk4_4(X19,X20,X21,X24))
| ~ object(X24)
| ~ exemplifies_property(X19,X24)
| X24 != X21
| ~ property(X19)
| ~ object(X20)
| ~ object(X21) )
& ( X20 = X21
| exemplifies_property(X19,esk4_4(X19,X20,X21,X24))
| ~ object(X24)
| ~ exemplifies_property(X19,X24)
| X24 != X21
| ~ property(X19)
| ~ object(X20)
| ~ object(X21) )
& ( is_the(X20,X19)
| esk4_4(X19,X20,X21,X24) != X24
| ~ object(X24)
| ~ exemplifies_property(X19,X24)
| X24 != X21
| ~ property(X19)
| ~ object(X20)
| ~ object(X21) )
& ( X20 = X21
| esk4_4(X19,X20,X21,X24) != X24
| ~ object(X24)
| ~ exemplifies_property(X19,X24)
| X24 != X21
| ~ property(X19)
| ~ object(X20)
| ~ object(X21) ) ),
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_identity_instance])])])])]) ).
cnf(c_0_13,plain,
( ~ object(X1)
| ~ exemplifies_relation(greater_than,X1,X2)
| ~ exemplifies_property(conceivable,X1)
| ~ exemplifies_property(none_greater,X2)
| ~ object(X2) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_14,plain,
( object(X1)
| ~ exemplifies_property(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,plain,
( exemplifies_relation(greater_than,esk7_1(X1),X1)
| exemplifies_property(existence,X1)
| ~ is_the(X1,none_greater)
| ~ object(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( object(X1)
| ~ is_the(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( exemplifies_property(conceivable,esk7_1(X1))
| exemplifies_property(existence,X1)
| ~ is_the(X1,none_greater)
| ~ object(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( exemplifies_property(X1,esk3_3(X1,X2,X3))
| ~ is_the(X2,X1)
| X2 != X3
| ~ property(X1)
| ~ object(X2)
| ~ object(X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( property(X1)
| ~ is_the(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_20,plain,
( esk3_3(X1,X2,X3) = X3
| ~ is_the(X2,X1)
| X2 != X3
| ~ property(X1)
| ~ object(X2)
| ~ object(X3) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_21,plain,
( ~ exemplifies_relation(greater_than,X1,X2)
| ~ exemplifies_property(none_greater,X2)
| ~ exemplifies_property(conceivable,X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_13,c_0_14]),c_0_14]) ).
cnf(c_0_22,plain,
( exemplifies_relation(greater_than,esk7_1(X1),X1)
| exemplifies_property(existence,X1)
| ~ is_the(X1,none_greater) ),
inference(csr,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_23,plain,
( exemplifies_property(conceivable,esk7_1(X1))
| exemplifies_property(existence,X1)
| ~ is_the(X1,none_greater) ),
inference(csr,[status(thm)],[c_0_17,c_0_16]) ).
fof(c_0_24,negated_conjecture,
~ exemplifies_property(existence,god),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[god_exists])]) ).
cnf(c_0_25,plain,
( exemplifies_property(X1,esk3_3(X1,X2,X2))
| ~ is_the(X2,X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_18,c_0_16]),c_0_19])]),c_0_16]) ).
cnf(c_0_26,plain,
( esk3_3(X1,X2,X2) = X2
| ~ is_the(X2,X1) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_20,c_0_16]),c_0_19])]),c_0_16]) ).
cnf(c_0_27,plain,
( exemplifies_property(existence,X1)
| ~ is_the(X1,none_greater)
| ~ exemplifies_property(none_greater,X1) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).
cnf(c_0_28,plain,
is_the(god,none_greater),
inference(split_conjunct,[status(thm)],[definition_god]) ).
cnf(c_0_29,negated_conjecture,
~ exemplifies_property(existence,god),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_30,plain,
( exemplifies_property(X1,X2)
| ~ is_the(X2,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_31,plain,
~ exemplifies_property(none_greater,god),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]) ).
cnf(c_0_32,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_28]),c_0_31]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : PHI015+1 : TPTP v8.1.2. Released v7.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sun Aug 27 09:01:46 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.21/0.60 % Version : CSE_E---1.5
% 0.21/0.60 % Problem : theBenchmark.p
% 0.21/0.60 % Proof found
% 0.21/0.60 % SZS status Theorem for theBenchmark.p
% 0.21/0.60 % SZS output start Proof
% See solution above
% 0.21/0.60 % Total time : 0.015000 s
% 0.21/0.60 % SZS output end Proof
% 0.21/0.60 % Total time : 0.018000 s
%------------------------------------------------------------------------------