%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PHI015+1 : TPTP v9.2.1. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n008.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 : Tue May 5 05:01:09 PM UTC 2026
% Result : Theorem 1.27s 1.72s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 9 unt; 0 def)
% Number of atoms : 204 ( 24 equ)
% Maximal formula atoms : 74 ( 6 avg)
% Number of connectives : 289 ( 119 ~; 124 |; 34 &)
% ( 2 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 53 ( 3 sgn 23 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(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(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,
! [X54] :
( ( object(esk7_1(X54))
| ~ is_the(X54,none_greater)
| exemplifies_property(existence,X54)
| ~ object(X54) )
& ( exemplifies_relation(greater_than,esk7_1(X54),X54)
| ~ is_the(X54,none_greater)
| exemplifies_property(existence,X54)
| ~ object(X54) )
& ( exemplifies_property(conceivable,esk7_1(X54))
| ~ is_the(X54,none_greater)
| exemplifies_property(existence,X54)
| ~ object(X54) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_9,plain,
! [X32,X33] :
( ( property(X33)
| ~ is_the(X32,X33) )
& ( object(X32)
| ~ is_the(X32,X33) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[description_is_property_and_described_is_object])])]) ).
fof(c_0_10,plain,
! [X41,X42,X43,X45,X46] :
( ( object(esk3_3(X41,X42,X43))
| ~ is_the(X42,X41)
| X42 != X43
| ~ property(X41)
| ~ object(X42)
| ~ object(X43) )
& ( exemplifies_property(X41,esk3_3(X41,X42,X43))
| ~ is_the(X42,X41)
| X42 != X43
| ~ property(X41)
| ~ object(X42)
| ~ object(X43) )
& ( ~ object(X45)
| ~ exemplifies_property(X41,X45)
| X45 = esk3_3(X41,X42,X43)
| ~ is_the(X42,X41)
| X42 != X43
| ~ property(X41)
| ~ object(X42)
| ~ object(X43) )
& ( esk3_3(X41,X42,X43) = X43
| ~ is_the(X42,X41)
| X42 != X43
| ~ property(X41)
| ~ object(X42)
| ~ object(X43) )
& ( is_the(X42,X41)
| object(esk4_4(X41,X42,X43,X46))
| ~ object(X46)
| ~ exemplifies_property(X41,X46)
| X46 != X43
| ~ property(X41)
| ~ object(X42)
| ~ object(X43) )
& ( X42 = X43
| object(esk4_4(X41,X42,X43,X46))
| ~ object(X46)
| ~ exemplifies_property(X41,X46)
| X46 != X43
| ~ property(X41)
| ~ object(X42)
| ~ object(X43) )
& ( is_the(X42,X41)
| exemplifies_property(X41,esk4_4(X41,X42,X43,X46))
| ~ object(X46)
| ~ exemplifies_property(X41,X46)
| X46 != X43
| ~ property(X41)
| ~ object(X42)
| ~ object(X43) )
& ( X42 = X43
| exemplifies_property(X41,esk4_4(X41,X42,X43,X46))
| ~ object(X46)
| ~ exemplifies_property(X41,X46)
| X46 != X43
| ~ property(X41)
| ~ object(X42)
| ~ object(X43) )
& ( is_the(X42,X41)
| esk4_4(X41,X42,X43,X46) != X46
| ~ object(X46)
| ~ exemplifies_property(X41,X46)
| X46 != X43
| ~ property(X41)
| ~ object(X42)
| ~ object(X43) )
& ( X42 = X43
| esk4_4(X41,X42,X43,X46) != X46
| ~ object(X46)
| ~ exemplifies_property(X41,X46)
| X46 != X43
| ~ property(X41)
| ~ object(X42)
| ~ object(X43) ) ),
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])])])])]) ).
fof(c_0_11,plain,
! [X50,X51] :
( ( exemplifies_property(conceivable,X50)
| ~ exemplifies_property(none_greater,X50)
| ~ object(X50) )
& ( ~ object(X51)
| ~ exemplifies_relation(greater_than,X51,X50)
| ~ exemplifies_property(conceivable,X51)
| ~ exemplifies_property(none_greater,X50)
| ~ object(X50) )
& ( object(esk5_1(X50))
| ~ exemplifies_property(conceivable,X50)
| exemplifies_property(none_greater,X50)
| ~ object(X50) )
& ( exemplifies_relation(greater_than,esk5_1(X50),X50)
| ~ exemplifies_property(conceivable,X50)
| exemplifies_property(none_greater,X50)
| ~ object(X50) )
& ( exemplifies_property(conceivable,esk5_1(X50))
| ~ exemplifies_property(conceivable,X50)
| exemplifies_property(none_greater,X50)
| ~ object(X50) ) ),
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_12,plain,
! [X30,X31] :
( ( property(X31)
| ~ exemplifies_property(X31,X30) )
& ( object(X30)
| ~ exemplifies_property(X31,X30) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[exemplifier_is_object_and_exemplified_is_property])])]) ).
cnf(c_0_13,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_8]) ).
cnf(c_0_14,plain,
( object(X1)
| ~ is_the(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_15,negated_conjecture,
~ exemplifies_property(existence,god),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[god_exists])]) ).
cnf(c_0_16,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_8]) ).
cnf(c_0_17,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_10]) ).
cnf(c_0_18,plain,
( property(X1)
| ~ is_the(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_19,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_10]) ).
cnf(c_0_20,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_11]) ).
cnf(c_0_21,plain,
( object(X1)
| ~ exemplifies_property(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
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_13,c_0_14]) ).
cnf(c_0_23,plain,
is_the(god,none_greater),
inference(split_conjunct,[status(thm)],[definition_god]) ).
cnf(c_0_24,negated_conjecture,
~ exemplifies_property(existence,god),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_25,plain,
( exemplifies_property(conceivable,esk7_1(X1))
| exemplifies_property(existence,X1)
| ~ is_the(X1,none_greater) ),
inference(csr,[status(thm)],[c_0_16,c_0_14]) ).
cnf(c_0_26,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_17,c_0_14]),c_0_18])]),c_0_14]) ).
cnf(c_0_27,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_19,c_0_14]),c_0_18])]),c_0_14]) ).
cnf(c_0_28,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_20,c_0_21]),c_0_21]) ).
cnf(c_0_29,plain,
exemplifies_relation(greater_than,esk7_1(god),god),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_30,plain,
exemplifies_property(conceivable,esk7_1(god)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_23]),c_0_24]) ).
cnf(c_0_31,plain,
( exemplifies_property(X1,X2)
| ~ is_the(X2,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_32,plain,
~ exemplifies_property(none_greater,god),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30])]) ).
cnf(c_0_33,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_23]),c_0_32]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PHI015+1 : TPTP v9.2.1. Released v7.2.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n008.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:25:14 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.27/1.72 % Version : CSE_E---1.7
% 1.27/1.72 % Problem : theBenchmark.p
% 1.27/1.72 % SZS status Theorem for theBenchmark.p
% 1.27/1.72 % SZS output start CNFRefutation
% See solution above
% 1.27/1.72 % Total time : 1.369s
%------------------------------------------------------------------------------