%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR123^2 : 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 : n017.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 0.23s 0.30s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 51 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 200 ( 33 ~; 22 |; 12 &; 133 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 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_38,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_50,type,
lBen_THFTYPE_i: $i ).
thf(decl_51,type,
lBill_THFTYPE_i: $i ).
thf(decl_74,type,
lSue_THFTYPE_i: $i ).
thf(decl_85,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(decl_89,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_95,type,
n2009_THFTYPE_i: $i ).
thf(con,conjecture,
? [X44: $i > $i > $o,X5: $i,X6: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( X44 @ lSue_THFTYPE_i @ X5 )
& ~ ( X44 @ lSue_THFTYPE_i @ X6 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.CBYaHizFkD/E---3.1_673152.p',con) ).
thf(ax_031,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.CBYaHizFkD/E---3.1_673152.p',ax_031) ).
thf(ax_048,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/tmp/tmp.CBYaHizFkD/E---3.1_673152.p',ax_048) ).
thf(c_0_3,negated_conjecture,
~ ? [X44: $i > $i > $o,X5: $i,X6: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( X44 @ lSue_THFTYPE_i @ X5 )
& ~ ( X44 @ lSue_THFTYPE_i @ X6 ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_4,negated_conjecture,
~ ? [X44: $i > $i > $o,X5: $i,X6: $i] :
( ( ~ ( ( X44 @ lSue_THFTYPE_i @ X5 )
& ~ ( X44 @ lSue_THFTYPE_i @ X6 ) )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( ( X44 @ lSue_THFTYPE_i @ X5 )
& ~ ( X44 @ lSue_THFTYPE_i @ X6 ) )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fool_unroll,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X257: $i > $i > $o,X258: $i,X259: $i] :
( ( ~ ( X257 @ lSue_THFTYPE_i @ X258 )
| ( X257 @ lSue_THFTYPE_i @ X259 )
| ( X257 @ lSue_THFTYPE_i @ X258 ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X257 @ lSue_THFTYPE_i @ X258 ) )
& ( ~ ( X257 @ lSue_THFTYPE_i @ X258 )
| ( X257 @ lSue_THFTYPE_i @ X259 )
| ~ ( X257 @ lSue_THFTYPE_i @ X259 ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ~ ( X257 @ lSue_THFTYPE_i @ X259 ) )
& ( ~ ( X257 @ lSue_THFTYPE_i @ X258 )
| ( X257 @ lSue_THFTYPE_i @ X259 )
| ~ ( 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_6,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_031])]) ).
thf(c_0_7,negated_conjecture,
! [X16: $i > $i > $o,X1: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ~ ( X16 @ lSue_THFTYPE_i @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
! [X16: $i > $i > $o,X1: $i] :
( ( X16 @ lSue_THFTYPE_i @ X1 )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,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_6]) ).
thf(c_0_10,negated_conjecture,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ),
inference(csr,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_11,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_9]) ).
thf(c_0_12,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_9]) ).
thf(c_0_13,negated_conjecture,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBen_THFTYPE_i ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_14,negated_conjecture,
! [X16: $i > $i > $o,X2: $i,X1: $i] :
( ( X16 @ lSue_THFTYPE_i @ X2 )
| ~ ( X16 @ lSue_THFTYPE_i @ X1 )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_15,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
inference(sr,[status(thm)],[c_0_12,c_0_13]) ).
thf(c_0_16,negated_conjecture,
! [X1: $i,X16: $i > $i > $o,X2: $i] :
( ( X16 @ lSue_THFTYPE_i @ X1 )
| ~ ( X16 @ lSue_THFTYPE_i @ X2 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).
thf(c_0_17,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax_048]) ).
thf(c_0_18,negated_conjecture,
! [X1: $i] : ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ X1 ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR123^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.19 % Computer : n017.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.19 % DateTime : Tue Sep 29 17:50:22 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.23 Running higher-order theorem proving
% 0.12/0.25 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.CBYaHizFkD/E---3.1_673152.p
% 0.23/0.30 % Version: 3.5.1-ho
% 0.23/0.30 % Preprocessing class: HSLSSMSMSSSNHSA.
% 0.23/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.30 % Starting new_ho_10 with 1500s (5) cores
% 0.23/0.30 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.23/0.30 % Starting lpo9_lambda_fix with 300s (1) cores
% 0.23/0.30 % Starting new_bool_1 with 300s (1) cores
% 0.23/0.30 % new_ho_10 with pid 673165 completed with status 0
% 0.23/0.30 % Result found by new_ho_10
% 0.23/0.30 % Preprocessing class: HSLSSMSMSSSNHSA.
% 0.23/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.30 % Starting new_ho_10 with 1500s (5) cores
% 0.23/0.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.30 % No SInE strategy applied
% 0.23/0.30 % Search class: HGHSF-FFMM21-SHSFFFBN
% 0.23/0.30 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.30 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.30 % Starting new_ho_10 with 151s (1) cores
% 0.23/0.30 % Starting sh5l with 136s (1) cores
% 0.23/0.30 % Starting ehoh_best8_lambda with 136s (1) cores
% 0.23/0.30 % Starting lpo8_lambda_fix with 136s (1) cores
% 0.23/0.30 % SubtermCWHack with pid 673170 completed with status 0
% 0.23/0.30 % Result found by SubtermCWHack
% 0.23/0.30 % Preprocessing class: HSLSSMSMSSSNHSA.
% 0.23/0.30 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.30 % Starting new_ho_10 with 1500s (5) cores
% 0.23/0.30 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.23/0.30 % No SInE strategy applied
% 0.23/0.30 % Search class: HGHSF-FFMM21-SHSFFFBN
% 0.23/0.30 % Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.30 % Starting SubtermCWHack with 136s (1) cores
% 0.23/0.30 % Preprocessing time : 0.003 s
% 0.23/0.30
% 0.23/0.30 % Proof found!
% 0.23/0.30 % SZS status Theorem
% 0.23/0.30 % SZS output start CNFRefutation
% See solution above
% 0.23/0.30 % Parsed axioms : 282
% 0.23/0.30 % Removed by relevancy pruning/SinE : 0
% 0.23/0.30 % Initial clauses : 301
% 0.23/0.30 % Removed in clause preprocessing : 97
% 0.23/0.30 % Initial clauses in saturation : 204
% 0.23/0.30 % Processed clauses : 302
% 0.23/0.30 % ...of these trivial : 16
% 0.23/0.30 % ...subsumed : 10
% 0.23/0.30 % ...remaining for further processing : 276
% 0.23/0.30 % Other redundant clauses eliminated : 0
% 0.23/0.30 % Clauses deleted for lack of memory : 0
% 0.23/0.30 % Backward-subsumed : 3
% 0.23/0.30 % Backward-rewritten : 3
% 0.23/0.30 % Generated clauses : 164
% 0.23/0.30 % ...of the previous two non-redundant : 145
% 0.23/0.30 % ...aggressively subsumed : 0
% 0.23/0.30 % Contextual simplify-reflections : 1
% 0.23/0.30 % Paramodulations : 162
% 0.23/0.30 % Factorizations : 0
% 0.23/0.30 % NegExts : 0
% 0.23/0.30 % Equation resolutions : 1
% 0.23/0.30 % Disequality decompositions : 0
% 0.23/0.30 % Total rewrite steps : 30
% 0.23/0.30 % ...of those cached : 9
% 0.23/0.30 % Propositional unsat checks : 0
% 0.23/0.30 % Propositional check models : 0
% 0.23/0.30 % Propositional check unsatisfiable : 0
% 0.23/0.30 % Propositional clauses : 0
% 0.23/0.30 % Propositional clauses after purity: 0
% 0.23/0.30 % Propositional unsat core size : 0
% 0.23/0.30 % Propositional preprocessing time : 0.000
% 0.23/0.30 % Propositional encoding time : 0.000
% 0.23/0.30 % Propositional solver time : 0.000
% 0.23/0.30 % Success case prop preproc time : 0.000
% 0.23/0.30 % Success case prop encoding time : 0.000
% 0.23/0.30 % Success case prop solver time : 0.000
% 0.23/0.30 % Current number of processed clauses : 269
% 0.23/0.30 % Positive orientable unit clauses : 191
% 0.23/0.30 % Positive unorientable unit clauses: 0
% 0.23/0.30 % Negative unit clauses : 2
% 0.23/0.30 % Non-unit-clauses : 76
% 0.23/0.30 % Current number of unprocessed clauses: 46
% 0.23/0.30 % ...number of literals in the above : 133
% 0.23/0.30 % Current number of archived formulas : 0
% 0.23/0.30 % Current number of archived clauses : 7
% 0.23/0.30 % Clause-clause subsumption calls (NU) : 910
% 0.23/0.30 % Rec. Clause-clause subsumption calls : 872
% 0.23/0.30 % Non-unit clause-clause subsumptions : 10
% 0.23/0.30 % Unit Clause-clause subsumption calls : 326
% 0.23/0.30 % Rewrite failures with RHS unbound : 0
% 0.23/0.30 % BW rewrite match attempts : 3
% 0.23/0.30 % BW rewrite match successes : 3
% 0.23/0.30 % Condensation attempts : 0
% 0.23/0.30 % Condensation successes : 0
% 0.23/0.30 % Termbank termtop insertions : 12616
% 0.23/0.30 % Search garbage collected termcells : 1444
% 0.23/0.30
% 0.23/0.30 % -------------------------------------------------
% 0.23/0.30 % User time : 0.009 s
% 0.23/0.30 % System time : 0.012 s
% 0.23/0.30 % Total time : 0.021 s
% 0.23/0.30 % Maximum resident set size: 4100 pages
% 0.23/0.30
% 0.23/0.30 % -------------------------------------------------
% 0.23/0.30 % User time : 0.043 s
% 0.23/0.30 % System time : 0.027 s
% 0.23/0.30 % Total time : 0.070 s
% 0.23/0.30 % Maximum resident set size: 5120 pages
% 0.23/0.30 % E exiting
%------------------------------------------------------------------------------