%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR134^2 : 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 07:46:37 AM UTC 2026
% Result : Theorem 0.09s 0.26s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 27 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 84 ( 0 equ; 0 cnn)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 278 ( 39 ~; 32 |; 16 &; 191 @)
% ( 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 : 11 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 23 ( 0 ^; 14 !; 9 ?; 23 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_29,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_34,type,
lAnna_THFTYPE_i: $i ).
thf(decl_38,type,
lBill_THFTYPE_i: $i ).
thf(decl_40,type,
lBob_THFTYPE_i: $i ).
thf(decl_47,type,
lSue_THFTYPE_i: $i ).
thf(decl_54,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(decl_55,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_59,type,
n2009_THFTYPE_i: $i ).
thf(decl_61,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(con,conjecture,
? [X36: $i > $i > $o,X1: $i,X2: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( X36 @ X1 @ lAnna_THFTYPE_i )
& ~ ( X36 @ X2 @ lAnna_THFTYPE_i ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.KALvzVSKPm/E---3.1_676634.p',con) ).
thf(ax_014,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ),
file('/export/starexec/sandbox2/tmp/tmp.KALvzVSKPm/E---3.1_676634.p',ax_014) ).
thf(ax_009,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox2/tmp/tmp.KALvzVSKPm/E---3.1_676634.p',ax_009) ).
thf(ax_019,axiom,
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
file('/export/starexec/sandbox2/tmp/tmp.KALvzVSKPm/E---3.1_676634.p',ax_019) ).
thf(c_0_4,negated_conjecture,
~ ? [X36: $i > $i > $o,X1: $i,X2: $i] :
( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i )
@ ( ( X36 @ X1 @ lAnna_THFTYPE_i )
& ~ ( X36 @ X2 @ lAnna_THFTYPE_i ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_5,negated_conjecture,
~ ? [X36: $i > $i > $o,X1: $i,X2: $i] :
( ( ~ ( ( X36 @ X1 @ lAnna_THFTYPE_i )
& ~ ( X36 @ X2 @ lAnna_THFTYPE_i ) )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( ( X36 @ X1 @ lAnna_THFTYPE_i )
& ~ ( X36 @ X2 @ lAnna_THFTYPE_i ) )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fool_unroll,[status(thm)],[c_0_4]) ).
thf(c_0_6,axiom,
( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fool_unroll,[status(thm)],[ax_014]) ).
thf(c_0_7,negated_conjecture,
! [X42: $i > $i > $o,X43: $i,X44: $i] :
( ( ~ ( X42 @ X43 @ lAnna_THFTYPE_i )
| ( X42 @ X44 @ lAnna_THFTYPE_i )
| ( X42 @ X43 @ lAnna_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( X42 @ X43 @ lAnna_THFTYPE_i ) )
& ( ~ ( X42 @ X43 @ lAnna_THFTYPE_i )
| ( X42 @ X44 @ lAnna_THFTYPE_i )
| ~ ( X42 @ X44 @ lAnna_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ~ ( X42 @ X44 @ lAnna_THFTYPE_i ) )
& ( ~ ( X42 @ X43 @ lAnna_THFTYPE_i )
| ( X42 @ X44 @ lAnna_THFTYPE_i )
| ~ ( 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_5])])])]) ).
thf(c_0_8,plain,
( ( ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_nnf,[status(thm)],[c_0_6]) ).
thf(c_0_9,negated_conjecture,
! [X36: $i > $i > $o,X1: $i] :
( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ~ ( X36 @ X1 @ lAnna_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_10,negated_conjecture,
! [X36: $i > $i > $o,X1: $i] :
( ( X36 @ X1 @ lAnna_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
( ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_12,negated_conjecture,
~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ),
inference(csr,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_13,axiom,
( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fool_unroll,[status(thm)],[ax_009]) ).
thf(c_0_14,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true )
| ~ ( likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_15,plain,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
inference(sr,[status(thm)],[c_0_11,c_0_12]) ).
thf(c_0_16,plain,
( ( ~ ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_nnf,[status(thm)],[c_0_13]) ).
thf(c_0_17,plain,
( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_019])]) ).
thf(c_0_18,negated_conjecture,
! [X36: $i > $i > $o,X2: $i,X1: $i] :
( ( X36 @ X2 @ lAnna_THFTYPE_i )
| ~ ( X36 @ X1 @ lAnna_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_19,plain,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).
thf(c_0_20,plain,
( ( parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_21,plain,
( ( ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_nnf,[status(thm)],[c_0_17]) ).
thf(c_0_22,negated_conjecture,
! [X1: $i,X36: $i > $i > $o,X2: $i] :
( ( X36 @ X1 @ lAnna_THFTYPE_i )
| ~ ( X36 @ X2 @ lAnna_THFTYPE_i ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18,c_0_19])]) ).
thf(c_0_23,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
inference(sr,[status(thm)],[c_0_20,c_0_12]) ).
thf(c_0_24,plain,
( ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true )
| ~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_25,negated_conjecture,
! [X1: $i] : ( parent_THFTYPE_IiioI @ X1 @ lAnna_THFTYPE_i ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
thf(c_0_26,plain,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR134^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n017.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 17:51:22 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.24 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.KALvzVSKPm/E---3.1_676634.p
% 0.09/0.26 % Version: 3.5.1-ho
% 0.09/0.26 % Preprocessing class: HSLSSMSMSSSNSSA.
% 0.09/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.26 % Starting new_ho_10_unif with 1500s (5) cores
% 0.09/0.26 % Starting sh3l with 300s (1) cores
% 0.09/0.26 % Starting new_ho_6 with 300s (1) cores
% 0.09/0.26 % Starting lpo6_lambda_fix with 300s (1) cores
% 0.09/0.26 % sh3l with pid 676665 completed with status 0
% 0.09/0.26 % Result found by sh3l
% 0.09/0.26 % Preprocessing class: HSLSSMSMSSSNSSA.
% 0.09/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.26 % Starting new_ho_10_unif with 1500s (5) cores
% 0.09/0.26 % Starting sh3l with 300s (1) cores
% 0.09/0.26 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
% 0.09/0.26 % SinE strategy is gf120_gu_RUU_F100_L01000
% 0.09/0.26 % Search class: HGHNF-FFMM11-SSSFFFBN
% 0.09/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.26 % SubtermCWHack with pid 676671 completed with status 0
% 0.09/0.26 % Result found by SubtermCWHack
% 0.09/0.26 % Preprocessing class: HSLSSMSMSSSNSSA.
% 0.09/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.26 % Starting new_ho_10_unif with 1500s (5) cores
% 0.09/0.26 % Starting sh3l with 300s (1) cores
% 0.09/0.26 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
% 0.09/0.26 % SinE strategy is gf120_gu_RUU_F100_L01000
% 0.09/0.26 % Search class: HGHNF-FFMM11-SSSFFFBN
% 0.09/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.26 % Preprocessing time : 0.001 s
% 0.09/0.26
% 0.09/0.26 % Proof found!
% 0.09/0.26 % SZS status Theorem
% 0.09/0.26 % SZS output start CNFRefutation
% See solution above
% 0.09/0.26 % Parsed axioms : 128
% 0.09/0.26 % Removed by relevancy pruning/SinE : 106
% 0.09/0.26 % Initial clauses : 50
% 0.09/0.26 % Removed in clause preprocessing : 3
% 0.09/0.26 % Initial clauses in saturation : 47
% 0.09/0.26 % Processed clauses : 62
% 0.09/0.26 % ...of these trivial : 6
% 0.09/0.26 % ...subsumed : 23
% 0.09/0.26 % ...remaining for further processing : 33
% 0.09/0.26 % Other redundant clauses eliminated : 0
% 0.09/0.26 % Clauses deleted for lack of memory : 0
% 0.09/0.26 % Backward-subsumed : 1
% 0.09/0.26 % Backward-rewritten : 13
% 0.09/0.26 % Generated clauses : 20
% 0.09/0.26 % ...of the previous two non-redundant : 26
% 0.09/0.26 % ...aggressively subsumed : 0
% 0.09/0.26 % Contextual simplify-reflections : 1
% 0.09/0.26 % Paramodulations : 13
% 0.09/0.26 % Factorizations : 0
% 0.09/0.26 % NegExts : 0
% 0.09/0.26 % Equation resolutions : 0
% 0.09/0.26 % Disequality decompositions : 0
% 0.09/0.26 % Total rewrite steps : 18
% 0.09/0.26 % ...of those cached : 7
% 0.09/0.26 % Propositional unsat checks : 0
% 0.09/0.26 % Propositional check models : 0
% 0.09/0.26 % Propositional check unsatisfiable : 0
% 0.09/0.26 % Propositional clauses : 0
% 0.09/0.26 % Propositional clauses after purity: 0
% 0.09/0.26 % Propositional unsat core size : 0
% 0.09/0.26 % Propositional preprocessing time : 0.000
% 0.09/0.26 % Propositional encoding time : 0.000
% 0.09/0.26 % Propositional solver time : 0.000
% 0.09/0.26 % Success case prop preproc time : 0.000
% 0.09/0.26 % Success case prop encoding time : 0.000
% 0.09/0.26 % Success case prop solver time : 0.000
% 0.09/0.26 % Current number of processed clauses : 12
% 0.09/0.26 % Positive orientable unit clauses : 7
% 0.09/0.26 % Positive unorientable unit clauses: 0
% 0.09/0.26 % Negative unit clauses : 1
% 0.09/0.26 % Non-unit-clauses : 4
% 0.09/0.26 % Current number of unprocessed clauses: 1
% 0.09/0.26 % ...number of literals in the above : 1
% 0.09/0.26 % Current number of archived formulas : 0
% 0.09/0.26 % Current number of archived clauses : 21
% 0.09/0.26 % Clause-clause subsumption calls (NU) : 57
% 0.09/0.26 % Rec. Clause-clause subsumption calls : 57
% 0.09/0.26 % Non-unit clause-clause subsumptions : 24
% 0.09/0.26 % Unit Clause-clause subsumption calls : 4
% 0.09/0.26 % Rewrite failures with RHS unbound : 0
% 0.09/0.26 % BW rewrite match attempts : 11
% 0.09/0.26 % BW rewrite match successes : 11
% 0.09/0.26 % Condensation attempts : 0
% 0.09/0.26 % Condensation successes : 0
% 0.09/0.26 % Termbank termtop insertions : 3574
% 0.09/0.26 % Search garbage collected termcells : 487
% 0.09/0.26
% 0.09/0.26 % -------------------------------------------------
% 0.09/0.26 % User time : 0.002 s
% 0.09/0.26 % System time : 0.005 s
% 0.09/0.26 % Total time : 0.007 s
% 0.09/0.26 % Maximum resident set size: 3996 pages
% 0.09/0.26
% 0.09/0.26 % -------------------------------------------------
% 0.09/0.26 % User time : 0.004 s
% 0.09/0.26 % System time : 0.011 s
% 0.09/0.26 % Total time : 0.015 s
% 0.09/0.26 % Maximum resident set size: 4864 pages
% 0.09/0.26 % E exiting
%------------------------------------------------------------------------------