%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR123^1 : 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 : n012.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 07:46:34 AM UTC 2026
% Result : Theorem 0.08s 0.13s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 50 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 197 ( 32 ~; 22 |; 12 &; 131 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 16 ( 16 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 23 ( 0 ^; 14 !; 9 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_24,type,
lBen_THFTYPE_i: $i ).
thf(decl_25,type,
lBill_THFTYPE_i: $i ).
thf(decl_27,type,
lSue_THFTYPE_i: $i ).
thf(decl_28,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(decl_29,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_30,type,
n2009_THFTYPE_i: $i ).
thf(con,conjecture,
? [X1: $i > $i > $o,X2: $i,X3: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( X1 @ lSue_THFTYPE_i @ X2 )
& ~ ( X1 @ lSue_THFTYPE_i @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.oDBKejQEb0/E---3.1_458149.p',con) ).
thf(ax_002,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ),
file('/export/starexec/sandbox2/tmp/tmp.oDBKejQEb0/E---3.1_458149.p',ax_002) ).
thf(ax,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/tmp/tmp.oDBKejQEb0/E---3.1_458149.p',ax) ).
thf(c_0_3,negated_conjecture,
~ ? [X1: $i > $i > $o,X2: $i,X3: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( X1 @ lSue_THFTYPE_i @ X2 )
& ~ ( X1 @ lSue_THFTYPE_i @ X3 ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_4,negated_conjecture,
~ ? [X1: $i > $i > $o,X2: $i,X3: $i] :
( ( ~ ( ( X1 @ lSue_THFTYPE_i @ X2 )
& ~ ( X1 @ lSue_THFTYPE_i @ X3 ) )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( ( X1 @ lSue_THFTYPE_i @ X2 )
& ~ ( X1 @ lSue_THFTYPE_i @ X3 ) )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fool_unroll,[status(thm)],[c_0_3]) ).
thf(c_0_5,plain,
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_002])]) ).
thf(c_0_6,negated_conjecture,
! [X7: $i > $i > $o,X8: $i,X9: $i] :
( ( ~ ( X7 @ lSue_THFTYPE_i @ X8 )
| ( X7 @ lSue_THFTYPE_i @ X9 )
| ( X7 @ lSue_THFTYPE_i @ X8 ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X7 @ lSue_THFTYPE_i @ X8 ) )
& ( ~ ( X7 @ lSue_THFTYPE_i @ X8 )
| ( X7 @ lSue_THFTYPE_i @ X9 )
| ~ ( X7 @ lSue_THFTYPE_i @ X9 ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ~ ( X7 @ lSue_THFTYPE_i @ X9 ) )
& ( ~ ( X7 @ lSue_THFTYPE_i @ X8 )
| ( X7 @ lSue_THFTYPE_i @ X9 )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
thf(c_0_7,plain,
( ( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
! [X1: $i > $i > $o,X2: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ~ ( X1 @ lSue_THFTYPE_i @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_9,negated_conjecture,
! [X1: $i > $i > $o,X2: $i] :
( ( X1 @ lSue_THFTYPE_i @ X2 )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
( ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_12,negated_conjecture,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ),
inference(csr,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_13,negated_conjecture,
! [X1: $i > $i > $o,X3: $i,X2: $i] :
( ( X1 @ lSue_THFTYPE_i @ X3 )
| ~ ( X1 @ lSue_THFTYPE_i @ X2 )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_14,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).
thf(c_0_15,negated_conjecture,
! [X1: $i > $i > $o,X2: $i,X3: $i] :
( ( X1 @ lSue_THFTYPE_i @ X2 )
| ~ ( X1 @ lSue_THFTYPE_i @ X3 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_14])]) ).
thf(c_0_16,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax]) ).
thf(c_0_17,negated_conjecture,
! [X2: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X2 ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
thf(c_0_18,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10,c_0_17])]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : CSR123^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.02 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.00/0.09 % Computer : n012.cluster.edu
% 0.00/0.09 % Model : x86_64 x86_64
% 0.00/0.09 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.09 % Memory : 8046.5625MB
% 0.00/0.09 % OS : Linux 6.8.0-71-generic
% 0.00/0.09 % CPULimit : 300
% 0.00/0.09 % WCLimit : 300
% 0.00/0.09 % DateTime : Tue Sep 29 17:54:33 UTC 2026
% 0.00/0.09 % CPUTime :
% 0.00/0.09 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.11 Running higher-order theorem proving
% 0.08/0.12 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.oDBKejQEb0/E---3.1_458149.p
% 0.08/0.13 % Version: 3.5.1-ho
% 0.08/0.13 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.08/0.13 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.13 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.08/0.13 % Starting post_as_ho10 with 300s (1) cores
% 0.08/0.13 % Starting new_bool_9 with 300s (1) cores
% 0.08/0.13 % Starting sh5l with 300s (1) cores
% 0.08/0.13 % post_as_ho10 with pid 458163 completed with status 0
% 0.08/0.13 % Result found by post_as_ho10
% 0.08/0.13 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.08/0.13 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.13 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.08/0.13 % Starting post_as_ho10 with 300s (1) cores
% 0.08/0.13 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.13 % No SInE strategy applied
% 0.08/0.13 % Search class: HGHNF-FFSS11-SSSFFSBN
% 0.08/0.13 % partial match(1): HGHNF-FFSM11-SSSFFSBN
% 0.08/0.13 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.13 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.13 % SubtermCWHack with pid 458168 completed with status 0
% 0.08/0.13 % Result found by SubtermCWHack
% 0.08/0.13 % Preprocessing class: HSSSSMSSSSSNSSN.
% 0.08/0.13 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.13 % Starting ehoh_best_nonlift_nonlambdatoforall with 1500s (5) cores
% 0.08/0.13 % Starting post_as_ho10 with 300s (1) cores
% 0.08/0.13 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.13 % No SInE strategy applied
% 0.08/0.13 % Search class: HGHNF-FFSS11-SSSFFSBN
% 0.08/0.13 % partial match(1): HGHNF-FFSM11-SSSFFSBN
% 0.08/0.13 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.13 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.13 % Preprocessing time : 0.001 s
% 0.08/0.13
% 0.08/0.13 % Proof found!
% 0.08/0.13 % SZS status Theorem
% 0.08/0.13 % SZS output start CNFRefutation
% See solution above
% 0.08/0.13 % Parsed axioms : 13
% 0.08/0.13 % Removed by relevancy pruning/SinE : 0
% 0.08/0.13 % Initial clauses : 19
% 0.08/0.13 % Removed in clause preprocessing : 11
% 0.08/0.13 % Initial clauses in saturation : 8
% 0.08/0.13 % Processed clauses : 10
% 0.08/0.13 % ...of these trivial : 0
% 0.08/0.13 % ...subsumed : 1
% 0.08/0.13 % ...remaining for further processing : 9
% 0.08/0.13 % Other redundant clauses eliminated : 0
% 0.08/0.13 % Clauses deleted for lack of memory : 0
% 0.08/0.13 % Backward-subsumed : 1
% 0.08/0.13 % Backward-rewritten : 3
% 0.08/0.13 % Generated clauses : 3
% 0.08/0.13 % ...of the previous two non-redundant : 2
% 0.08/0.13 % ...aggressively subsumed : 0
% 0.08/0.13 % Contextual simplify-reflections : 1
% 0.08/0.13 % Paramodulations : 3
% 0.08/0.13 % Factorizations : 0
% 0.08/0.13 % NegExts : 0
% 0.08/0.13 % Equation resolutions : 0
% 0.08/0.13 % Disequality decompositions : 0
% 0.08/0.13 % Total rewrite steps : 3
% 0.08/0.13 % ...of those cached : 0
% 0.08/0.13 % Propositional unsat checks : 0
% 0.08/0.13 % Propositional check models : 0
% 0.08/0.13 % Propositional check unsatisfiable : 0
% 0.08/0.13 % Propositional clauses : 0
% 0.08/0.13 % Propositional clauses after purity: 0
% 0.08/0.13 % Propositional unsat core size : 0
% 0.08/0.13 % Propositional preprocessing time : 0.000
% 0.08/0.13 % Propositional encoding time : 0.000
% 0.08/0.13 % Propositional solver time : 0.000
% 0.08/0.13 % Success case prop preproc time : 0.000
% 0.08/0.13 % Success case prop encoding time : 0.000
% 0.08/0.13 % Success case prop solver time : 0.000
% 0.08/0.13 % Current number of processed clauses : 5
% 0.08/0.13 % Positive orientable unit clauses : 3
% 0.08/0.13 % Positive unorientable unit clauses: 0
% 0.08/0.13 % Negative unit clauses : 1
% 0.08/0.13 % Non-unit-clauses : 1
% 0.08/0.13 % Current number of unprocessed clauses: 0
% 0.08/0.13 % ...number of literals in the above : 0
% 0.08/0.13 % Current number of archived formulas : 0
% 0.08/0.13 % Current number of archived clauses : 4
% 0.08/0.13 % Clause-clause subsumption calls (NU) : 1
% 0.08/0.13 % Rec. Clause-clause subsumption calls : 1
% 0.08/0.13 % Non-unit clause-clause subsumptions : 1
% 0.08/0.13 % Unit Clause-clause subsumption calls : 1
% 0.08/0.13 % Rewrite failures with RHS unbound : 0
% 0.08/0.13 % BW rewrite match attempts : 3
% 0.08/0.13 % BW rewrite match successes : 3
% 0.08/0.13 % Condensation attempts : 0
% 0.08/0.13 % Condensation successes : 0
% 0.08/0.13 % Termbank termtop insertions : 721
% 0.08/0.13 % Search garbage collected termcells : 84
% 0.08/0.13
% 0.08/0.13 % -------------------------------------------------
% 0.08/0.13 % User time : 0.002 s
% 0.08/0.13 % System time : 0.001 s
% 0.08/0.13 % Total time : 0.003 s
% 0.08/0.13 % Maximum resident set size: 3632 pages
% 0.08/0.13
% 0.08/0.13 % -------------------------------------------------
% 0.08/0.13 % User time : 0.003 s
% 0.08/0.13 % System time : 0.003 s
% 0.08/0.13 % Total time : 0.006 s
% 0.08/0.13 % Maximum resident set size: 4864 pages
% 0.08/0.13 % E exiting
%------------------------------------------------------------------------------