%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PHI010+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 : 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 : Tue May 5 05:01:09 PM UTC 2026
% Result : Theorem 0.28s 1.62s
% Output : CNFRefutation 0.37s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 12)
% Comments :
%------------------------------------------------------------------------------
fof(lemma_1,conjecture,
! [X1,X2,X4] :
( ( object(X1)
& property(X2)
& object(X4) )
=> ( ( is_the(X1,X2)
& X1 = X4 )
=> exemplifies_property(X2,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1) ).
fof(objects_are_not_properties,axiom,
! [X1] :
( object(X1)
=> ~ property(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',objects_are_not_properties) ).
fof(description_axiom_identity_instance,axiom,
! [X2,X1,X3] :
( ( property(X2)
& object(X1)
& object(X3) )
=> ( ( is_the(X1,X2)
& X1 = X3 )
<=> ? [X4] :
( object(X4)
& exemplifies_property(X2,X4)
& ! [X5] :
( object(X5)
=> ( exemplifies_property(X2,X5)
=> X5 = X4 ) )
& X4 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_axiom_identity_instance) ).
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(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(i_0_5,negated_conjecture,
~ ! [X1,X2,X4] :
( ( object(X1)
& property(X2)
& object(X4) )
=> ( ( is_the(X1,X2)
& X1 = X4 )
=> exemplifies_property(X2,X4) ) ),
inference(assume_negation,[status(cth)],[lemma_1]) ).
fof(i_0_6,plain,
! [X1] :
( object(X1)
=> ~ property(X1) ),
inference(fof_simplification,[status(thm)],[objects_are_not_properties]) ).
fof(i_0_7,plain,
! [X24,X25,X26,X28,X29] :
( ( object(esk1_3(X24,X25,X26))
| ~ is_the(X25,X24)
| X25 != X26
| ~ property(X24)
| ~ object(X25)
| ~ object(X26) )
& ( exemplifies_property(X24,esk1_3(X24,X25,X26))
| ~ is_the(X25,X24)
| X25 != X26
| ~ property(X24)
| ~ object(X25)
| ~ object(X26) )
& ( ~ object(X28)
| ~ exemplifies_property(X24,X28)
| X28 = esk1_3(X24,X25,X26)
| ~ is_the(X25,X24)
| X25 != X26
| ~ property(X24)
| ~ object(X25)
| ~ object(X26) )
& ( esk1_3(X24,X25,X26) = X26
| ~ is_the(X25,X24)
| X25 != X26
| ~ property(X24)
| ~ object(X25)
| ~ object(X26) )
& ( is_the(X25,X24)
| object(esk2_4(X24,X25,X26,X29))
| ~ object(X29)
| ~ exemplifies_property(X24,X29)
| X29 != X26
| ~ property(X24)
| ~ object(X25)
| ~ object(X26) )
& ( X25 = X26
| object(esk2_4(X24,X25,X26,X29))
| ~ object(X29)
| ~ exemplifies_property(X24,X29)
| X29 != X26
| ~ property(X24)
| ~ object(X25)
| ~ object(X26) )
& ( is_the(X25,X24)
| exemplifies_property(X24,esk2_4(X24,X25,X26,X29))
| ~ object(X29)
| ~ exemplifies_property(X24,X29)
| X29 != X26
| ~ property(X24)
| ~ object(X25)
| ~ object(X26) )
& ( X25 = X26
| exemplifies_property(X24,esk2_4(X24,X25,X26,X29))
| ~ object(X29)
| ~ exemplifies_property(X24,X29)
| X29 != X26
| ~ property(X24)
| ~ object(X25)
| ~ object(X26) )
& ( is_the(X25,X24)
| esk2_4(X24,X25,X26,X29) != X29
| ~ object(X29)
| ~ exemplifies_property(X24,X29)
| X29 != X26
| ~ property(X24)
| ~ object(X25)
| ~ object(X26) )
& ( X25 = X26
| esk2_4(X24,X25,X26,X29) != X29
| ~ object(X29)
| ~ exemplifies_property(X24,X29)
| X29 != X26
| ~ property(X24)
| ~ object(X25)
| ~ object(X26) ) ),
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(i_0_8,plain,
! [X22,X23] :
( ( property(X23)
| ~ is_the(X22,X23) )
& ( object(X22)
| ~ is_the(X22,X23) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[description_is_property_and_described_is_object])])]) ).
fof(i_0_9,plain,
! [X20,X21] :
( ( property(X21)
| ~ exemplifies_property(X21,X20) )
& ( object(X20)
| ~ exemplifies_property(X21,X20) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[exemplifier_is_object_and_exemplified_is_property])])]) ).
fof(i_0_10,negated_conjecture,
( object(esk3_0)
& property(esk4_0)
& object(esk5_0)
& is_the(esk3_0,esk4_0)
& esk3_0 = esk5_0
& ~ exemplifies_property(esk4_0,esk5_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_5])])]) ).
fof(i_0_11,plain,
! [X19] :
( ~ object(X19)
| ~ property(X19) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_6])]) ).
cnf(i_0_12,plain,
( is_the(X1,X2)
| exemplifies_property(X2,esk2_4(X2,X1,X3,X4))
| ~ object(X4)
| ~ exemplifies_property(X2,X4)
| X4 != X3
| ~ property(X2)
| ~ object(X1)
| ~ object(X3) ),
inference(split_conjunct,[status(thm)],[i_0_7]),
[final] ).
cnf(i_0_13,plain,
( is_the(X1,X2)
| object(esk2_4(X2,X1,X3,X4))
| ~ object(X4)
| ~ exemplifies_property(X2,X4)
| X4 != X3
| ~ property(X2)
| ~ object(X1)
| ~ object(X3) ),
inference(split_conjunct,[status(thm)],[i_0_7]),
[final] ).
cnf(i_0_14,plain,
( X1 = X2
| exemplifies_property(X3,esk2_4(X3,X1,X2,X4))
| ~ object(X4)
| ~ exemplifies_property(X3,X4)
| X4 != X2
| ~ property(X3)
| ~ object(X1)
| ~ object(X2) ),
inference(split_conjunct,[status(thm)],[i_0_7]),
[final] ).
cnf(i_0_15,plain,
( X1 = X2
| object(esk2_4(X3,X1,X2,X4))
| ~ object(X4)
| ~ exemplifies_property(X3,X4)
| X4 != X2
| ~ property(X3)
| ~ object(X1)
| ~ object(X2) ),
inference(split_conjunct,[status(thm)],[i_0_7]),
[final] ).
cnf(i_0_16,plain,
( is_the(X1,X2)
| esk2_4(X2,X1,X3,X4) != X4
| ~ object(X4)
| ~ exemplifies_property(X2,X4)
| X4 != X3
| ~ property(X2)
| ~ object(X1)
| ~ object(X3) ),
inference(split_conjunct,[status(thm)],[i_0_7]),
[final] ).
cnf(i_0_17,plain,
( X1 = X2
| esk2_4(X3,X1,X2,X4) != X4
| ~ object(X4)
| ~ exemplifies_property(X3,X4)
| X4 != X2
| ~ property(X3)
| ~ object(X1)
| ~ object(X2) ),
inference(split_conjunct,[status(thm)],[i_0_7]),
[final] ).
cnf(i_0_18,plain,
( exemplifies_property(X1,esk1_3(X1,X2,X3))
| ~ is_the(X2,X1)
| X2 != X3
| ~ property(X1)
| ~ object(X2)
| ~ object(X3) ),
inference(split_conjunct,[status(thm)],[i_0_7]),
[final] ).
cnf(i_0_19,plain,
( object(esk1_3(X1,X2,X3))
| ~ is_the(X2,X1)
| X2 != X3
| ~ property(X1)
| ~ object(X2)
| ~ object(X3) ),
inference(split_conjunct,[status(thm)],[i_0_7]),
[final] ).
cnf(i_0_20,plain,
( X1 = esk1_3(X2,X3,X4)
| ~ object(X1)
| ~ exemplifies_property(X2,X1)
| ~ is_the(X3,X2)
| X3 != X4
| ~ property(X2)
| ~ object(X3)
| ~ object(X4) ),
inference(split_conjunct,[status(thm)],[i_0_7]),
[final] ).
cnf(i_0_21,plain,
( esk1_3(X1,X2,X3) = X3
| ~ is_the(X2,X1)
| X2 != X3
| ~ property(X1)
| ~ object(X2)
| ~ object(X3) ),
inference(split_conjunct,[status(thm)],[i_0_7]),
[final] ).
cnf(i_0_22,plain,
( property(X1)
| ~ is_the(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_23,plain,
( property(X1)
| ~ exemplifies_property(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_9]),
[final] ).
cnf(i_0_24,plain,
( object(X1)
| ~ is_the(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_25,plain,
( object(X1)
| ~ exemplifies_property(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_9]),
[final] ).
cnf(i_0_26,negated_conjecture,
~ exemplifies_property(esk4_0,esk5_0),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_27,plain,
( ~ object(X1)
| ~ property(X1) ),
inference(split_conjunct,[status(thm)],[i_0_11]),
[final] ).
cnf(i_0_28,negated_conjecture,
is_the(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_29,negated_conjecture,
property(esk4_0),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_30,negated_conjecture,
object(esk5_0),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_31,negated_conjecture,
object(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_32,negated_conjecture,
esk3_0 = esk5_0,
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_33,axiom,
X1 = X1 ).
cnf(i_0_34,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_35,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_36,axiom,
( X1 != X2
| esk2_4(X1,X3,X4,X5) = esk2_4(X2,X3,X4,X5) ) ).
cnf(i_0_37,axiom,
( X1 != X2
| esk2_4(X3,X1,X4,X5) = esk2_4(X3,X2,X4,X5) ) ).
cnf(i_0_38,axiom,
( X1 != X2
| esk2_4(X3,X4,X1,X5) = esk2_4(X3,X4,X2,X5) ) ).
cnf(i_0_39,axiom,
( X1 != X2
| esk2_4(X3,X4,X5,X1) = esk2_4(X3,X4,X5,X2) ) ).
cnf(i_0_40,axiom,
( X1 != X2
| esk1_3(X1,X3,X4) = esk1_3(X2,X3,X4) ) ).
cnf(i_0_41,axiom,
( X1 != X2
| esk1_3(X3,X1,X4) = esk1_3(X3,X2,X4) ) ).
cnf(i_0_42,axiom,
( X1 != X2
| esk1_3(X3,X4,X1) = esk1_3(X3,X4,X2) ) ).
cnf(i_0_43,axiom,
( X1 != X2
| ~ is_the(X1,X3)
| is_the(X2,X3) ) ).
cnf(i_0_44,axiom,
( X1 != X2
| ~ is_the(X3,X1)
| is_the(X3,X2) ) ).
cnf(i_0_45,axiom,
( X1 != X2
| ~ exemplifies_property(X1,X3)
| exemplifies_property(X2,X3) ) ).
cnf(i_0_46,axiom,
( X1 != X2
| ~ exemplifies_property(X3,X1)
| exemplifies_property(X3,X2) ) ).
cnf(i_0_47,axiom,
( X1 != X2
| ~ object(X1)
| object(X2) ) ).
cnf(i_0_48,axiom,
( X1 != X2
| ~ property(X1)
| property(X2) ) ).
cnf(i_0_33_001,axiom,
X1 = X1 ).
cnf(i_0_34_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_35_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_36_004,axiom,
( X1 != X2
| esk2_4(X1,X3,X4,X5) = esk2_4(X2,X3,X4,X5) ) ).
cnf(i_0_37_005,axiom,
( X1 != X2
| esk2_4(X3,X1,X4,X5) = esk2_4(X3,X2,X4,X5) ) ).
cnf(i_0_38_006,axiom,
( X1 != X2
| esk2_4(X3,X4,X1,X5) = esk2_4(X3,X4,X2,X5) ) ).
cnf(i_0_39_007,axiom,
( X1 != X2
| esk2_4(X3,X4,X5,X1) = esk2_4(X3,X4,X5,X2) ) ).
cnf(i_0_40_008,axiom,
( X1 != X2
| esk1_3(X1,X3,X4) = esk1_3(X2,X3,X4) ) ).
cnf(i_0_41_009,axiom,
( X1 != X2
| esk1_3(X3,X1,X4) = esk1_3(X3,X2,X4) ) ).
cnf(i_0_42_010,axiom,
( X1 != X2
| esk1_3(X3,X4,X1) = esk1_3(X3,X4,X2) ) ).
cnf(i_0_43_011,axiom,
( X1 != X2
| ~ is_the(X1,X3)
| is_the(X2,X3) ) ).
cnf(i_0_44_012,axiom,
( X1 != X2
| ~ is_the(X3,X1)
| is_the(X3,X2) ) ).
cnf(i_0_45_013,axiom,
( X1 != X2
| ~ exemplifies_property(X1,X3)
| exemplifies_property(X2,X3) ) ).
cnf(i_0_46_014,axiom,
( X1 != X2
| ~ exemplifies_property(X3,X1)
| exemplifies_property(X3,X2) ) ).
cnf(i_0_47_015,axiom,
( X1 != X2
| ~ object(X1)
| object(X2) ) ).
cnf(i_0_48_016,axiom,
( X1 != X2
| ~ property(X1)
| property(X2) ) ).
cnf(i_0_49,plain,
( ~ object(X1)
| ~ exemplifies_property(X2,X1)
| ~ property(X2)
| ~ object(X3)
| ~ object(X1)
| is_the(X3,X2)
| exemplifies_property(X2,esk2_4(X2,X3,X1,X1)) ),
inference(equality_inference,[],[12]) ).
cnf(i_0_50,plain,
( ~ object(X1)
| ~ exemplifies_property(X2,X1)
| ~ property(X2)
| ~ object(X3)
| ~ object(X1)
| is_the(X3,X2)
| object(esk2_4(X2,X3,X1,X1)) ),
inference(equality_inference,[],[13]) ).
cnf(i_0_51,plain,
( ~ object(X1)
| ~ exemplifies_property(X2,X1)
| ~ property(X2)
| ~ object(X3)
| ~ object(X1)
| X3 = X1
| exemplifies_property(X2,esk2_4(X2,X3,X1,X1)) ),
inference(equality_inference,[],[14]) ).
cnf(i_0_52,plain,
( ~ object(X1)
| ~ exemplifies_property(X2,X1)
| ~ property(X2)
| ~ object(X3)
| ~ object(X1)
| X3 = X1
| object(esk2_4(X2,X3,X1,X1)) ),
inference(equality_inference,[],[15]) ).
cnf(i_0_53,plain,
( ~ is_the(X1,X2)
| ~ property(X2)
| ~ object(X1)
| ~ object(X1)
| exemplifies_property(X2,esk1_3(X2,X1,X1)) ),
inference(equality_inference,[],[18]) ).
cnf(i_0_54,plain,
( ~ is_the(X1,X2)
| ~ property(X2)
| ~ object(X1)
| ~ object(X1)
| object(esk1_3(X2,X1,X1)) ),
inference(equality_inference,[],[19]) ).
cnf(i_0_55,plain,
( ~ object(X1)
| ~ exemplifies_property(X2,X1)
| ~ is_the(X3,X2)
| ~ property(X2)
| ~ object(X3)
| ~ object(X3)
| X1 = esk1_3(X2,X3,X3) ),
inference(equality_inference,[],[20]) ).
cnf(i_0_56,plain,
( ~ is_the(X1,X2)
| ~ property(X2)
| ~ object(X1)
| ~ object(X1)
| esk1_3(X2,X1,X1) = X1 ),
inference(equality_inference,[],[21]) ).
cnf(i_0_57,plain,
~ object(esk4_0),
inference(scs_inference,[],[i_0_29,i_0_27]) ).
cnf(i_0_58,plain,
( ~ property(X1)
| ~ object(X1) ),
inference(rename_variables,[],[i_0_27]) ).
cnf(i_0_59,plain,
esk5_0 = esk3_0,
inference(scs_inference,[],[i_0_29,i_0_32,i_0_27,i_0_34]) ).
cnf(i_0_60,plain,
~ exemplifies_property(esk4_0,esk3_0),
inference(scs_inference,[],[i_0_26,i_0_29,i_0_32,i_0_27,i_0_34,i_0_46]) ).
cnf(i_0_61,plain,
esk5_0 != esk4_0,
inference(scs_inference,[],[i_0_26,i_0_29,i_0_30,i_0_32,i_0_27,i_0_34,i_0_46,i_0_47]) ).
cnf(i_0_62,plain,
~ is_the(esk4_0,X1),
inference(scs_inference,[],[i_0_26,i_0_29,i_0_30,i_0_32,i_0_27,i_0_34,i_0_46,i_0_47,i_0_24]) ).
cnf(i_0_63,plain,
( object(X1)
| ~ is_the(X1,X2) ),
inference(rename_variables,[],[i_0_24]) ).
cnf(i_0_64,plain,
~ exemplifies_property(X1,esk4_0),
inference(scs_inference,[],[i_0_26,i_0_29,i_0_30,i_0_32,i_0_27,i_0_34,i_0_46,i_0_47,i_0_24,i_0_25]) ).
cnf(i_0_65,plain,
( object(X1)
| ~ exemplifies_property(X2,X1) ),
inference(rename_variables,[],[i_0_25]) ).
cnf(i_0_66,plain,
( X1 != esk4_0
| ~ exemplifies_property(X1,esk5_0) ),
inference(scs_inference,[],[i_0_26,i_0_29,i_0_30,i_0_32,i_0_27,i_0_34,i_0_46,i_0_47,i_0_24,i_0_25,i_0_45]) ).
cnf(i_0_67,plain,
esk3_0 != esk4_0,
inference(scs_inference,[],[i_0_26,i_0_28,i_0_29,i_0_30,i_0_32,i_0_27,i_0_34,i_0_46,i_0_47,i_0_24,i_0_25,i_0_45,i_0_43]) ).
cnf(i_0_68,plain,
( property(X1)
| esk4_0 != X1 ),
inference(scs_inference,[],[i_0_26,i_0_28,i_0_29,i_0_30,i_0_32,i_0_27,i_0_34,i_0_46,i_0_47,i_0_24,i_0_25,i_0_45,i_0_43,i_0_48]) ).
cnf(i_0_69,plain,
( exemplifies_property(esk4_0,esk1_3(esk4_0,esk5_0,esk5_0))
| ~ is_the(esk5_0,esk4_0) ),
inference(scs_inference,[],[i_0_26,i_0_28,i_0_29,i_0_30,i_0_32,i_0_27,i_0_34,i_0_46,i_0_47,i_0_24,i_0_25,i_0_45,i_0_43,i_0_48,i_0_53]) ).
cnf(i_0_70,plain,
( ~ property(X1)
| ~ object(X2)
| ~ object(X2)
| exemplifies_property(X1,esk1_3(X1,X2,X2))
| ~ is_the(X2,X1) ),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_71,plain,
( object(esk1_3(esk4_0,esk5_0,esk5_0))
| ~ is_the(esk5_0,esk4_0) ),
inference(scs_inference,[],[i_0_26,i_0_28,i_0_29,i_0_30,i_0_32,i_0_27,i_0_34,i_0_46,i_0_47,i_0_24,i_0_25,i_0_45,i_0_43,i_0_48,i_0_53,i_0_54]) ).
cnf(i_0_72,plain,
( ~ property(X1)
| ~ object(X2)
| ~ object(X2)
| object(esk1_3(X1,X2,X2))
| ~ is_the(X2,X1) ),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_73,plain,
( esk1_3(esk4_0,esk5_0,esk5_0) = esk5_0
| ~ is_the(esk5_0,esk4_0) ),
inference(scs_inference,[],[i_0_26,i_0_28,i_0_29,i_0_30,i_0_32,i_0_27,i_0_34,i_0_46,i_0_47,i_0_24,i_0_25,i_0_45,i_0_43,i_0_48,i_0_53,i_0_54,i_0_56]) ).
cnf(i_0_74,plain,
( ~ property(X1)
| ~ object(X2)
| ~ object(X2)
| esk1_3(X1,X2,X2) = X2
| ~ is_the(X2,X1) ),
inference(rename_variables,[],[i_0_56]) ).
cnf(i_0_76,plain,
~ exemplifies_property(esk4_0,esk5_0),
inference(equality_inference,[],[66]) ).
cnf(i_0_77,plain,
property(esk4_0),
inference(equality_inference,[],[68]) ).
cnf(i_0_78,plain,
exemplifies_property(esk4_0,esk1_3(esk4_0,esk3_0,esk3_0)),
inference(scs_inference,[],[i_0_31,i_0_28,i_0_29,i_0_53]) ).
cnf(i_0_79,plain,
( ~ property(X1)
| ~ object(X2)
| ~ object(X2)
| exemplifies_property(X1,esk1_3(X1,X2,X2))
| ~ is_the(X2,X1) ),
inference(rename_variables,[],[i_0_53]) ).
cnf(i_0_80,plain,
object(esk1_3(esk4_0,esk3_0,esk3_0)),
inference(scs_inference,[],[i_0_31,i_0_28,i_0_29,i_0_53,i_0_54]) ).
cnf(i_0_81,plain,
( ~ property(X1)
| ~ object(X2)
| ~ object(X2)
| object(esk1_3(X1,X2,X2))
| ~ is_the(X2,X1) ),
inference(rename_variables,[],[i_0_54]) ).
cnf(i_0_82,plain,
esk1_3(esk4_0,esk3_0,esk3_0) = esk3_0,
inference(scs_inference,[],[i_0_31,i_0_28,i_0_29,i_0_53,i_0_54,i_0_56]) ).
cnf(i_0_83,plain,
( ~ property(X1)
| ~ object(X2)
| ~ object(X2)
| esk1_3(X1,X2,X2) = X2
| ~ is_the(X2,X1) ),
inference(rename_variables,[],[i_0_56]) ).
cnf(i_0_84,plain,
esk3_0 = esk1_3(esk4_0,esk3_0,esk3_0),
inference(scs_inference,[],[i_0_31,i_0_28,i_0_29,i_0_53,i_0_54,i_0_56,i_0_34]) ).
cnf(i_0_85,plain,
esk5_0 = esk1_3(esk4_0,esk3_0,esk3_0),
inference(scs_inference,[],[i_0_31,i_0_28,i_0_29,i_0_59,i_0_53,i_0_54,i_0_56,i_0_34,i_0_35]) ).
cnf(i_0_86,plain,
( X1 != esk4_0
| ~ exemplifies_property(X1,esk3_0) ),
inference(scs_inference,[],[i_0_31,i_0_28,i_0_29,i_0_59,i_0_60,i_0_53,i_0_54,i_0_56,i_0_34,i_0_35,i_0_45]) ).
cnf(i_0_87,plain,
esk1_3(esk4_0,esk3_0,esk3_0) != esk4_0,
inference(scs_inference,[],[i_0_31,i_0_28,i_0_29,i_0_64,i_0_59,i_0_60,i_0_53,i_0_54,i_0_56,i_0_34,i_0_35,i_0_45,i_0_46]) ).
cnf(i_0_88,plain,
~ exemplifies_property(X1,esk4_0),
inference(rename_variables,[],[i_0_64]) ).
cnf(i_0_89,plain,
( esk1_3(X1,X2,X3) = X3
| ~ is_the(X2,X1)
| X2 != X3
| ~ property(X1)
| ~ object(X2)
| ~ object(X3) ),
inference(rename_variables,[],[i_0_21]) ).
cnf(i_0_90,plain,
~ is_the(esk4_0,X1),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_91,plain,
~ is_the(esk4_0,X1),
inference(rename_variables,[],[i_0_62]) ).
cnf(i_0_93,plain,
~ exemplifies_property(esk4_0,esk3_0),
inference(equality_inference,[],[86]) ).
cnf(i_0_94,plain,
esk1_3(esk4_0,esk3_0,esk3_0) = esk5_0,
inference(scs_inference,[],[i_0_85,i_0_34]) ).
cnf(i_0_95,plain,
$false,
inference(scs_inference,[],[i_0_85,i_0_82,i_0_78,i_0_60,i_0_34,i_0_46]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PHI010+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 : n021.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 01:26:10 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.35 % start to proof: theBenchmark
% 0.28/1.62 % Version : CSE_E---1.7
% 0.28/1.62 % Problem : theBenchmark.p
% 0.28/1.62 % SZS status Theorem for theBenchmark.p
% 0.28/1.62 % SZS output start CNFRefutation
% See solution above
% 0.37/1.74 % Total time : 1.272s
%------------------------------------------------------------------------------