%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR149^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 07:46:41 AM UTC 2026
% Result : Theorem 0.10s 0.25s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 86 ( 0 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 215 ( 37 ~; 26 |; 11 &; 136 @)
% ( 0 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 28 ( 0 ^; 22 !; 6 ?; 28 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_38,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_50,type,
lBill_THFTYPE_i: $i ).
thf(decl_61,type,
lMary_THFTYPE_i: $i ).
thf(decl_73,type,
lSue_THFTYPE_i: $i ).
thf(decl_84,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(decl_88,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_94,type,
n2009_THFTYPE_i: $i ).
thf(decl_111,type,
esk1_0: $i ).
thf(con,conjecture,
? [X5: $i,X6: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X6 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X5 ) ),
file('/export/starexec/sandbox2/tmp/tmp.eKGhPbJPtD/E---3.1_429535.p',con) ).
thf(ax_022,axiom,
! [X20: $i,X21: $o] :
( ( holdsDuring_THFTYPE_IiooI @ X20 @ ~ X21 )
=> ~ ( holdsDuring_THFTYPE_IiooI @ X20 @ X21 ) ),
file('/export/starexec/sandbox2/tmp/tmp.eKGhPbJPtD/E---3.1_429535.p',ax_022) ).
thf(ax_004,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ! [X5: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X5 )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X5 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.eKGhPbJPtD/E---3.1_429535.p',ax_004) ).
thf(ax_051,axiom,
! [X6: $i] : ( holdsDuring_THFTYPE_IiooI @ X6 @ $true ),
file('/export/starexec/sandbox2/tmp/tmp.eKGhPbJPtD/E---3.1_429535.p',ax_051) ).
thf(ax_023,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/tmp/tmp.eKGhPbJPtD/E---3.1_429535.p',ax_023) ).
thf(c_0_5,negated_conjecture,
~ ? [X5: $i,X6: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X6 ) @ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X5 ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_6,negated_conjecture,
~ ? [X5: $i,X6: $i] :
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X5 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X6 ) @ $true ) )
& ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X5 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X6 ) @ $false ) ) ),
inference(fool_unroll,[status(thm)],[c_0_5]) ).
thf(c_0_7,plain,
! [X20: $i,X21: $o] :
( ( ( X21
| ( holdsDuring_THFTYPE_IiooI @ X20 @ $true ) )
& ( ~ X21
| ( holdsDuring_THFTYPE_IiooI @ X20 @ $false ) ) )
=> ~ ( holdsDuring_THFTYPE_IiooI @ X20 @ X21 ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_022])]) ).
thf(c_0_8,axiom,
( ( ~ ! [X5: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X5 )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X5 ) )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ! [X5: $i] :
( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X5 )
=> ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X5 ) )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fool_unroll,[status(thm)],[ax_004]) ).
thf(c_0_9,negated_conjecture,
! [X136: $i,X137: $i] :
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X136 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X136 ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X137 ) @ $false )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X136 ) )
& ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X136 )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X137 ) @ $true ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X137 ) @ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X137 ) @ $true ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
thf(c_0_10,plain,
! [X143: $i] : ( holdsDuring_THFTYPE_IiooI @ X143 @ $true ),
inference(variable_rename,[status(thm)],[ax_051]) ).
thf(c_0_11,plain,
! [X138: $i,X139: $o] :
( ( X139
| ~ X139
| ~ ( holdsDuring_THFTYPE_IiooI @ X138 @ X139 ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X138 @ $false )
| ~ X139
| ~ ( holdsDuring_THFTYPE_IiooI @ X138 @ X139 ) )
& ( X139
| ~ ( holdsDuring_THFTYPE_IiooI @ X138 @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X138 @ X139 ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X138 @ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ X138 @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X138 @ X139 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
thf(c_0_12,plain,
! [X145: $i] :
( ( ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ esk1_0 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ esk1_0 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X145 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X145 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])])]) ).
thf(c_0_13,negated_conjecture,
! [X1: $i,X2: $i] :
( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X2 ) @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_14,plain,
! [X1: $i] : ( holdsDuring_THFTYPE_IiooI @ X1 @ $true ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_15,plain,
! [X1: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ X1 @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X1 @ ~ $true ) ),
inference(cn,[status(thm)],[inference(cn,[status(thm)],[inference(split_conjunct,[status(thm)],[c_0_11])])]) ).
thf(c_0_16,plain,
! [X1: $i] :
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_17,negated_conjecture,
! [X1: $i] :
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).
thf(c_0_18,plain,
! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ X1 @ ~ $true ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_14])]) ).
thf(c_0_19,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax_023]) ).
thf(c_0_20,plain,
! [X1: $i] :
~ ( likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ X1 ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_16,c_0_17]),c_0_18]) ).
thf(c_0_21,plain,
$false,
inference(sr,[status(thm)],[c_0_19,c_0_20]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR149^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n018.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Tue Sep 29 17:59:41 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 Running higher-order theorem proving
% 0.10/0.22 Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.eKGhPbJPtD/E---3.1_429535.p
% 0.10/0.25 % Version: 3.5.1-ho
% 0.10/0.25 % Preprocessing class: HSLSSMSMSSSNHFA.
% 0.10/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.25 % Starting new_ho_10 with 1500s (5) cores
% 0.10/0.25 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.10/0.25 % Starting full_lambda_6 with 300s (1) cores
% 0.10/0.25 % Starting full_lambda_9 with 300s (1) cores
% 0.10/0.25 % full_lambda_6 with pid 429568 completed with status 0
% 0.10/0.25 % Result found by full_lambda_6
% 0.10/0.25 % Preprocessing class: HSLSSMSMSSSNHFA.
% 0.10/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.25 % Starting new_ho_10 with 1500s (5) cores
% 0.10/0.25 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.10/0.25 % Starting full_lambda_6 with 300s (1) cores
% 0.10/0.25 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 0.10/0.25 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.10/0.25 % Search class: HGHSF-FFMM21-SHFFFFBN
% 0.10/0.25 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.25 % Starting SubtermCWHack with 28s (1) cores
% 0.10/0.25 % SubtermCWHack with pid 429574 completed with status 0
% 0.10/0.25 % Result found by SubtermCWHack
% 0.10/0.25 % Preprocessing class: HSLSSMSMSSSNHFA.
% 0.10/0.25 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.25 % Starting new_ho_10 with 1500s (5) cores
% 0.10/0.25 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.10/0.25 % Starting full_lambda_6 with 300s (1) cores
% 0.10/0.25 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,4,,4,20000,1.0,true))
% 0.10/0.25 % SinE strategy is GSinE(CountTerms,hypos,4,,4,20000,1.0,true)
% 0.10/0.25 % Search class: HGHSF-FFMM21-SHFFFFBN
% 0.10/0.25 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.25 % Starting SubtermCWHack with 28s (1) cores
% 0.10/0.25 % Preprocessing time : 0.002 s
% 0.10/0.25
% 0.10/0.25 % Proof found!
% 0.10/0.25 % SZS status Theorem
% 0.10/0.25 % SZS output start CNFRefutation
% See solution above
% 0.10/0.25 % Parsed axioms : 281
% 0.10/0.25 % Removed by relevancy pruning/SinE : 114
% 0.10/0.25 % Initial clauses : 184
% 0.10/0.25 % Removed in clause preprocessing : 6
% 0.10/0.25 % Initial clauses in saturation : 178
% 0.10/0.25 % Processed clauses : 198
% 0.10/0.25 % ...of these trivial : 18
% 0.10/0.25 % ...subsumed : 4
% 0.10/0.25 % ...remaining for further processing : 176
% 0.10/0.25 % Other redundant clauses eliminated : 0
% 0.10/0.25 % Clauses deleted for lack of memory : 0
% 0.10/0.25 % Backward-subsumed : 0
% 0.10/0.25 % Backward-rewritten : 0
% 0.10/0.25 % Generated clauses : 64
% 0.10/0.25 % ...of the previous two non-redundant : 57
% 0.10/0.25 % ...aggressively subsumed : 0
% 0.10/0.25 % Contextual simplify-reflections : 0
% 0.10/0.25 % Paramodulations : 62
% 0.10/0.25 % Factorizations : 0
% 0.10/0.25 % NegExts : 0
% 0.10/0.25 % Equation resolutions : 1
% 0.10/0.25 % Disequality decompositions : 0
% 0.10/0.25 % Total rewrite steps : 24
% 0.10/0.25 % ...of those cached : 13
% 0.10/0.25 % Propositional unsat checks : 0
% 0.10/0.25 % Propositional check models : 0
% 0.10/0.25 % Propositional check unsatisfiable : 0
% 0.10/0.25 % Propositional clauses : 0
% 0.10/0.25 % Propositional clauses after purity: 0
% 0.10/0.25 % Propositional unsat core size : 0
% 0.10/0.25 % Propositional preprocessing time : 0.000
% 0.10/0.25 % Propositional encoding time : 0.000
% 0.10/0.25 % Propositional solver time : 0.000
% 0.10/0.25 % Success case prop preproc time : 0.000
% 0.10/0.25 % Success case prop encoding time : 0.000
% 0.10/0.25 % Success case prop solver time : 0.000
% 0.10/0.25 % Current number of processed clauses : 175
% 0.10/0.25 % Positive orientable unit clauses : 150
% 0.10/0.25 % Positive unorientable unit clauses: 0
% 0.10/0.25 % Negative unit clauses : 4
% 0.10/0.25 % Non-unit-clauses : 21
% 0.10/0.25 % Current number of unprocessed clauses: 37
% 0.10/0.25 % ...number of literals in the above : 104
% 0.10/0.25 % Current number of archived formulas : 0
% 0.10/0.25 % Current number of archived clauses : 1
% 0.10/0.25 % Clause-clause subsumption calls (NU) : 56
% 0.10/0.25 % Rec. Clause-clause subsumption calls : 47
% 0.10/0.25 % Non-unit clause-clause subsumptions : 1
% 0.10/0.25 % Unit Clause-clause subsumption calls : 37
% 0.10/0.25 % Rewrite failures with RHS unbound : 0
% 0.10/0.25 % BW rewrite match attempts : 0
% 0.10/0.25 % BW rewrite match successes : 0
% 0.10/0.25 % Condensation attempts : 0
% 0.10/0.25 % Condensation successes : 0
% 0.10/0.25 % Termbank termtop insertions : 8954
% 0.10/0.25 % Search garbage collected termcells : 1353
% 0.10/0.25
% 0.10/0.25 % -------------------------------------------------
% 0.10/0.25 % User time : 0.009 s
% 0.10/0.25 % System time : 0.005 s
% 0.10/0.25 % Total time : 0.014 s
% 0.10/0.25 % Maximum resident set size: 4096 pages
% 0.10/0.25
% 0.10/0.25 % -------------------------------------------------
% 0.10/0.25 % User time : 0.013 s
% 0.10/0.25 % System time : 0.011 s
% 0.10/0.25 % Total time : 0.024 s
% 0.10/0.25 % Maximum resident set size: 5120 pages
% 0.10/0.25 % E exiting
%------------------------------------------------------------------------------