%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PHI011+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 : n015.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 0.21s 1.60s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 12)
% Comments :
%------------------------------------------------------------------------------
fof(description_theorem_2,conjecture,
! [X2] :
( property(X2)
=> ( ? [X3] :
( object(X3)
& is_the(X3,X2) )
=> ! [X4] :
( object(X4)
=> ( is_the(X4,X2)
=> exemplifies_property(X2,X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',description_theorem_2) ).
fof(objects_are_not_properties,axiom,
! [X1] :
( object(X1)
=> ~ property(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',objects_are_not_properties) ).
fof(lemma_1,axiom,
! [X1,X2,X3] :
( ( object(X1)
& property(X2)
& object(X3) )
=> ( ( is_the(X1,X2)
& X1 = X3 )
=> exemplifies_property(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_1) ).
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,
~ ! [X2] :
( property(X2)
=> ( ? [X3] :
( object(X3)
& is_the(X3,X2) )
=> ! [X4] :
( object(X4)
=> ( is_the(X4,X2)
=> exemplifies_property(X2,X4) ) ) ) ),
inference(assume_negation,[status(cth)],[description_theorem_2]) ).
fof(i_0_6,plain,
! [X1] :
( object(X1)
=> ~ property(X1) ),
inference(fof_simplification,[status(thm)],[objects_are_not_properties]) ).
fof(i_0_7,plain,
! [X21,X22,X23] :
( ~ object(X21)
| ~ property(X22)
| ~ object(X23)
| ~ is_the(X21,X22)
| X21 != X23
| exemplifies_property(X22,X23) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[lemma_1])]) ).
fof(i_0_8,plain,
! [X19,X20] :
( ( property(X20)
| ~ is_the(X19,X20) )
& ( object(X19)
| ~ is_the(X19,X20) ) ),
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,
! [X17,X18] :
( ( property(X18)
| ~ exemplifies_property(X18,X17) )
& ( object(X17)
| ~ exemplifies_property(X18,X17) ) ),
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,
( property(esk1_0)
& object(esk2_0)
& is_the(esk2_0,esk1_0)
& object(esk3_0)
& is_the(esk3_0,esk1_0)
& ~ exemplifies_property(esk1_0,esk3_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_5])])]) ).
fof(i_0_11,plain,
! [X16] :
( ~ object(X16)
| ~ property(X16) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_6])]) ).
cnf(i_0_12,plain,
( exemplifies_property(X2,X3)
| ~ object(X1)
| ~ property(X2)
| ~ object(X3)
| ~ is_the(X1,X2)
| X1 != X3 ),
inference(split_conjunct,[status(thm)],[i_0_7]),
[final] ).
cnf(i_0_13,plain,
( property(X1)
| ~ is_the(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_14,plain,
( property(X1)
| ~ exemplifies_property(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_9]),
[final] ).
cnf(i_0_15,plain,
( object(X1)
| ~ is_the(X1,X2) ),
inference(split_conjunct,[status(thm)],[i_0_8]),
[final] ).
cnf(i_0_16,plain,
( object(X1)
| ~ exemplifies_property(X2,X1) ),
inference(split_conjunct,[status(thm)],[i_0_9]),
[final] ).
cnf(i_0_17,negated_conjecture,
~ exemplifies_property(esk1_0,esk3_0),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_18,plain,
( ~ object(X1)
| ~ property(X1) ),
inference(split_conjunct,[status(thm)],[i_0_11]),
[final] ).
cnf(i_0_19,negated_conjecture,
is_the(esk3_0,esk1_0),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_20,negated_conjecture,
is_the(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_21,negated_conjecture,
property(esk1_0),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_22,negated_conjecture,
object(esk3_0),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_23,negated_conjecture,
object(esk2_0),
inference(split_conjunct,[status(thm)],[i_0_10]),
[final] ).
cnf(i_0_24,axiom,
X1 = X1 ).
cnf(i_0_25,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_26,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_27,axiom,
( X1 != X2
| ~ exemplifies_property(X1,X3)
| exemplifies_property(X2,X3) ) ).
cnf(i_0_28,axiom,
( X1 != X2
| ~ exemplifies_property(X3,X1)
| exemplifies_property(X3,X2) ) ).
cnf(i_0_29,axiom,
( X1 != X2
| ~ object(X1)
| object(X2) ) ).
cnf(i_0_30,axiom,
( X1 != X2
| ~ property(X1)
| property(X2) ) ).
cnf(i_0_31,axiom,
( X1 != X2
| ~ is_the(X1,X3)
| is_the(X2,X3) ) ).
cnf(i_0_32,axiom,
( X1 != X2
| ~ is_the(X3,X1)
| is_the(X3,X2) ) ).
cnf(i_0_24_001,axiom,
X1 = X1 ).
cnf(i_0_25_002,axiom,
( X1 = X2
| X2 != X1 ) ).
cnf(i_0_26_003,axiom,
( X1 = X2
| X1 != X3
| X3 != X2 ) ).
cnf(i_0_27_004,axiom,
( X1 != X2
| ~ exemplifies_property(X1,X3)
| exemplifies_property(X2,X3) ) ).
cnf(i_0_28_005,axiom,
( X1 != X2
| ~ exemplifies_property(X3,X1)
| exemplifies_property(X3,X2) ) ).
cnf(i_0_29_006,axiom,
( X1 != X2
| ~ object(X1)
| object(X2) ) ).
cnf(i_0_30_007,axiom,
( X1 != X2
| ~ property(X1)
| property(X2) ) ).
cnf(i_0_31_008,axiom,
( X1 != X2
| ~ is_the(X1,X3)
| is_the(X2,X3) ) ).
cnf(i_0_32_009,axiom,
( X1 != X2
| ~ is_the(X3,X1)
| is_the(X3,X2) ) ).
cnf(i_0_33,plain,
( ~ property(X1)
| ~ object(X2)
| ~ is_the(X2,X1)
| exemplifies_property(X1,X2)
| ~ object(X2) ),
inference(equality_inference,[],[12]) ).
cnf(i_0_34,plain,
$false,
inference(scs_inference,[],[i_0_21,i_0_22,i_0_19,i_0_17,i_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PHI011+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
% 0.12/0.32 % Computer : n015.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue May 5 01:25:31 EDT 2026
% 0.12/0.32 % CPUTime :
% 0.12/0.33 % start to proof: theBenchmark
% 0.21/1.60 % Version : CSE_E---1.7
% 0.21/1.60 % Problem : theBenchmark.p
% 0.21/1.60 % SZS status Theorem for theBenchmark.p
% 0.21/1.60 % SZS output start CNFRefutation
% See solution above
% 0.21/1.62 % Total time : 1.273s
%------------------------------------------------------------------------------