%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR148^2 : 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 : n006.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 07:46:40 AM UTC 2026
% Result : Theorem 0.21s 0.27s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 84 ( 0 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 218 ( 38 ~; 27 |; 11 &; 136 @)
% ( 0 <=>; 6 =>; 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 : 30 ( 0 ^; 24 !; 6 ?; 30 :)
% 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.AUsV3zbsCw/E---3.1_1097436.p',con) ).
thf(ax_024,axiom,
! [X21: $i,X22: $o] :
( ( holdsDuring_THFTYPE_IiooI @ X21 @ ~ X22 )
=> ~ ( holdsDuring_THFTYPE_IiooI @ X21 @ X22 ) ),
file('/export/starexec/sandbox2/tmp/tmp.AUsV3zbsCw/E---3.1_1097436.p',ax_024) ).
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.AUsV3zbsCw/E---3.1_1097436.p',ax_004) ).
thf(ax_007,axiom,
! [X9: $o,X6: $i] :
( X9
=> ( holdsDuring_THFTYPE_IiooI @ X6 @ X9 ) ),
file('/export/starexec/sandbox2/tmp/tmp.AUsV3zbsCw/E---3.1_1097436.p',ax_007) ).
thf(ax_025,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/tmp/tmp.AUsV3zbsCw/E---3.1_1097436.p',ax_025) ).
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,
! [X21: $i,X22: $o] :
( ( ( X22
| ( holdsDuring_THFTYPE_IiooI @ X21 @ $true ) )
& ( ~ X22
| ( holdsDuring_THFTYPE_IiooI @ X21 @ $false ) ) )
=> ~ ( holdsDuring_THFTYPE_IiooI @ X21 @ X22 ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_024])]) ).
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,
! [X100: $i,X101: $i] :
( ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X100 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X100 ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X101 ) @ $false )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X100 ) )
& ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X100 )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X101 ) @ $true ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X101 ) @ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ X101 ) @ $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,
! [X102: $o,X103: $i] :
( ~ X102
| ( holdsDuring_THFTYPE_IiooI @ X103 @ X102 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_007])])]) ).
thf(c_0_11,plain,
! [X106: $i,X107: $o] :
( ( X107
| ~ X107
| ~ ( holdsDuring_THFTYPE_IiooI @ X106 @ X107 ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X106 @ $false )
| ~ X107
| ~ ( holdsDuring_THFTYPE_IiooI @ X106 @ X107 ) )
& ( X107
| ~ ( holdsDuring_THFTYPE_IiooI @ X106 @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X106 @ X107 ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X106 @ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ X106 @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X106 @ X107 ) ) ),
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,
! [X112: $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 @ X112 )
| ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X112 )
| ( 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(cn,[status(thm)],[inference(cn,[status(thm)],[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_025]) ).
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 : CSR148^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.16 % Computer : n006.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Tue Sep 29 17:56:54 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running higher-order theorem proving
% 0.08/0.23 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.AUsV3zbsCw/E---3.1_1097436.p
% 0.21/0.27 % Version: 3.5.1-ho
% 0.21/0.27 % Preprocessing class: HSLSSMSMSSSNHFA.
% 0.21/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.27 % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.27 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.21/0.27 % Starting full_lambda_6 with 300s (1) cores
% 0.21/0.27 % Starting full_lambda_9 with 300s (1) cores
% 0.21/0.27 % full_lambda_9 with pid 1097452 completed with status 0
% 0.21/0.27 % Result found by full_lambda_9
% 0.21/0.27 % Preprocessing class: HSLSSMSMSSSNHFA.
% 0.21/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.27 % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.27 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.21/0.27 % Starting full_lambda_6 with 300s (1) cores
% 0.21/0.27 % Starting full_lambda_9 with 300s (1) cores
% 0.21/0.27 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4,,3,20000,3.0,true))
% 0.21/0.27 % SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.21/0.27 % Search class: HGHSS-FFMM21-SHFFFFBN
% 0.21/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.27 % SubtermCWHack with pid 1097454 completed with status 0
% 0.21/0.27 % Result found by SubtermCWHack
% 0.21/0.27 % Preprocessing class: HSLSSMSMSSSNHFA.
% 0.21/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.27 % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.27 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.21/0.27 % Starting full_lambda_6 with 300s (1) cores
% 0.21/0.27 % Starting full_lambda_9 with 300s (1) cores
% 0.21/0.27 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4,,3,20000,3.0,true))
% 0.21/0.27 % SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.21/0.27 % Search class: HGHSS-FFMM21-SHFFFFBN
% 0.21/0.27 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.27 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.27 % Preprocessing time : 0.001 s
% 0.21/0.27
% 0.21/0.27 % Proof found!
% 0.21/0.27 % SZS status Theorem
% 0.21/0.27 % SZS output start CNFRefutation
% See solution above
% 0.21/0.27 % Parsed axioms : 282
% 0.21/0.27 % Removed by relevancy pruning/SinE : 181
% 0.21/0.27 % Initial clauses : 116
% 0.21/0.27 % Removed in clause preprocessing : 6
% 0.21/0.27 % Initial clauses in saturation : 110
% 0.21/0.27 % Processed clauses : 121
% 0.21/0.27 % ...of these trivial : 17
% 0.21/0.27 % ...subsumed : 3
% 0.21/0.27 % ...remaining for further processing : 101
% 0.21/0.27 % Other redundant clauses eliminated : 0
% 0.21/0.27 % Clauses deleted for lack of memory : 0
% 0.21/0.27 % Backward-subsumed : 0
% 0.21/0.27 % Backward-rewritten : 0
% 0.21/0.27 % Generated clauses : 28
% 0.21/0.27 % ...of the previous two non-redundant : 24
% 0.21/0.27 % ...aggressively subsumed : 0
% 0.21/0.27 % Contextual simplify-reflections : 0
% 0.21/0.27 % Paramodulations : 26
% 0.21/0.27 % Factorizations : 0
% 0.21/0.27 % NegExts : 0
% 0.21/0.27 % Equation resolutions : 1
% 0.21/0.27 % Disequality decompositions : 0
% 0.21/0.27 % Total rewrite steps : 22
% 0.21/0.27 % ...of those cached : 13
% 0.21/0.27 % Propositional unsat checks : 0
% 0.21/0.27 % Propositional check models : 0
% 0.21/0.27 % Propositional check unsatisfiable : 0
% 0.21/0.27 % Propositional clauses : 0
% 0.21/0.27 % Propositional clauses after purity: 0
% 0.21/0.27 % Propositional unsat core size : 0
% 0.21/0.27 % Propositional preprocessing time : 0.000
% 0.21/0.27 % Propositional encoding time : 0.000
% 0.21/0.27 % Propositional solver time : 0.000
% 0.21/0.27 % Success case prop preproc time : 0.000
% 0.21/0.27 % Success case prop encoding time : 0.000
% 0.21/0.27 % Success case prop solver time : 0.000
% 0.21/0.27 % Current number of processed clauses : 100
% 0.21/0.27 % Positive orientable unit clauses : 89
% 0.21/0.27 % Positive unorientable unit clauses: 0
% 0.21/0.27 % Negative unit clauses : 4
% 0.21/0.27 % Non-unit-clauses : 7
% 0.21/0.27 % Current number of unprocessed clauses: 13
% 0.21/0.27 % ...number of literals in the above : 43
% 0.21/0.27 % Current number of archived formulas : 0
% 0.21/0.27 % Current number of archived clauses : 1
% 0.21/0.27 % Clause-clause subsumption calls (NU) : 3
% 0.21/0.27 % Rec. Clause-clause subsumption calls : 3
% 0.21/0.27 % Non-unit clause-clause subsumptions : 0
% 0.21/0.27 % Unit Clause-clause subsumption calls : 22
% 0.21/0.27 % Rewrite failures with RHS unbound : 0
% 0.21/0.27 % BW rewrite match attempts : 0
% 0.21/0.27 % BW rewrite match successes : 0
% 0.21/0.27 % Condensation attempts : 0
% 0.21/0.27 % Condensation successes : 0
% 0.21/0.27 % Termbank termtop insertions : 6139
% 0.21/0.27 % Search garbage collected termcells : 1164
% 0.21/0.27
% 0.21/0.27 % -------------------------------------------------
% 0.21/0.27 % User time : 0.006 s
% 0.21/0.27 % System time : 0.004 s
% 0.21/0.27 % Total time : 0.010 s
% 0.21/0.27 % Maximum resident set size: 4100 pages
% 0.21/0.27
% 0.21/0.27 % -------------------------------------------------
% 0.21/0.27 % User time : 0.013 s
% 0.21/0.27 % System time : 0.008 s
% 0.21/0.27 % Total time : 0.020 s
% 0.21/0.27 % Maximum resident set size: 5120 pages
% 0.21/0.27 % E exiting
%------------------------------------------------------------------------------