%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR143^2 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 07:46:39 AM UTC 2026
% Result : Theorem 0.33s 0.46s
% Output : CNFRefutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 89 ( 0 equ; 0 cnn)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 238 ( 42 ~; 30 |; 11 &; 151 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 10 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 32 ( 0 ^; 29 !; 3 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_49,type,
holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
thf(decl_50,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_62,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(decl_72,type,
lChris_THFTYPE_i: $i ).
thf(decl_73,type,
lCorina_THFTYPE_i: $i ).
thf(decl_117,type,
lYearFn_THFTYPE_IiiI: $i > $i ).
thf(decl_130,type,
n2009_THFTYPE_i: $i ).
thf(decl_153,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(con,conjecture,
? [X9: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X9 @ lCorina_THFTYPE_i ) ),
file('/export/starexec/sandbox/tmp/tmp.twmopnJ5i9/E---3.1_954459.p',con) ).
thf(ax_075,axiom,
! [X60: $i,X31: $o] :
( ( holdsDuring_THFTYPE_IiooI @ X60 @ ~ X31 )
=> ~ ( holdsDuring_THFTYPE_IiooI @ X60 @ X31 ) ),
file('/export/starexec/sandbox/tmp/tmp.twmopnJ5i9/E---3.1_954459.p',ax_075) ).
thf(ax_093,axiom,
holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i ),
file('/export/starexec/sandbox/tmp/tmp.twmopnJ5i9/E---3.1_954459.p',ax_093) ).
thf(ax_047,axiom,
! [X11: $i] : ( holdsDuring_THFTYPE_IiooI @ X11 @ $true ),
file('/export/starexec/sandbox/tmp/tmp.twmopnJ5i9/E---3.1_954459.p',ax_047) ).
thf(ax_005,axiom,
! [X13: $i > $i > $o,X14: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X14 @ X13 )
=> ! [X15: $i,X16: $i] :
( ( X14 @ X15 @ X16 )
<=> ( X13 @ X16 @ X15 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.twmopnJ5i9/E---3.1_954459.p',ax_005) ).
thf(ax_082,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox/tmp/tmp.twmopnJ5i9/E---3.1_954459.p',ax_082) ).
thf(c_0_6,negated_conjecture,
~ ? [X9: $i] : ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ( husband_THFTYPE_IiioI @ X9 @ lCorina_THFTYPE_i ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_7,plain,
! [X60: $i,X31: $o] :
( ( ( X31
| ( holdsDuring_THFTYPE_IiooI @ X60 @ $true ) )
& ( ~ X31
| ( holdsDuring_THFTYPE_IiooI @ X60 @ $false ) ) )
=> ~ ( holdsDuring_THFTYPE_IiooI @ X60 @ X31 ) ),
inference(fof_simplification,[status(thm)],[inference(fool_unroll,[status(thm)],[ax_075])]) ).
thf(c_0_8,negated_conjecture,
~ ? [X9: $i] :
( ( ~ ( husband_THFTYPE_IiioI @ X9 @ lCorina_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( husband_THFTYPE_IiioI @ X9 @ lCorina_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fool_unroll,[status(thm)],[c_0_6]) ).
thf(c_0_9,axiom,
( ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fool_unroll,[status(thm)],[ax_093]) ).
thf(c_0_10,plain,
! [X221: $i,X222: $o] :
( ( X222
| ~ X222
| ~ ( holdsDuring_THFTYPE_IiooI @ X221 @ X222 ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X221 @ $false )
| ~ X222
| ~ ( holdsDuring_THFTYPE_IiooI @ X221 @ X222 ) )
& ( X222
| ~ ( holdsDuring_THFTYPE_IiooI @ X221 @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X221 @ X222 ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ X221 @ $false )
| ~ ( holdsDuring_THFTYPE_IiooI @ X221 @ $true )
| ~ ( holdsDuring_THFTYPE_IiooI @ X221 @ X222 ) ) ),
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_11,plain,
! [X220: $i] : ( holdsDuring_THFTYPE_IiooI @ X220 @ $true ),
inference(variable_rename,[status(thm)],[ax_047]) ).
thf(c_0_12,negated_conjecture,
! [X216: $i] :
( ( ~ ( husband_THFTYPE_IiioI @ X216 @ lCorina_THFTYPE_i )
| ( husband_THFTYPE_IiioI @ X216 @ lCorina_THFTYPE_i ) )
& ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false )
| ( husband_THFTYPE_IiioI @ X216 @ lCorina_THFTYPE_i ) )
& ( ~ ( husband_THFTYPE_IiioI @ X216 @ lCorina_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_8])])])]) ).
thf(c_0_13,plain,
! [X235: $i > $i > $o,X236: $i > $i > $o,X237: $i,X238: $i] :
( ( ~ ( X236 @ X237 @ X238 )
| ( X235 @ X238 @ X237 )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X236 @ X235 ) )
& ( ~ ( X235 @ X238 @ X237 )
| ( X236 @ X237 @ X238 )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X236 @ X235 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_005])])])])]) ).
thf(c_0_14,plain,
( ( ~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) )
& ( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $false ) ) ),
inference(fof_nnf,[status(thm)],[c_0_9]) ).
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_10])])]) ).
thf(c_0_16,plain,
! [X1: $i] : ( holdsDuring_THFTYPE_IiooI @ X1 @ $true ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_17,negated_conjecture,
! [X1: $i] :
( ~ ( husband_THFTYPE_IiioI @ X1 @ lCorina_THFTYPE_i )
| ~ ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_18,plain,
! [X1: $i,X2: $i,X13: $i > $i > $o,X5: $i > $i > $o] :
( ( X13 @ X2 @ X1 )
| ~ ( X5 @ X1 @ X2 )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X13 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_19,plain,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
inference(split_conjunct,[status(thm)],[ax_082]) ).
thf(c_0_20,plain,
( ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i )
| ( holdsDuring_THFTYPE_IiooI @ ( lYearFn_THFTYPE_IiiI @ n2009_THFTYPE_i ) @ ~ $true ) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
thf(c_0_21,plain,
! [X1: $i] :
~ ( holdsDuring_THFTYPE_IiooI @ X1 @ ~ $true ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_16])]) ).
thf(c_0_22,negated_conjecture,
! [X1: $i] :
~ ( husband_THFTYPE_IiioI @ X1 @ lCorina_THFTYPE_i ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_16])]) ).
thf(c_0_23,plain,
! [X2: $i,X1: $i] :
( ( husband_THFTYPE_IiioI @ X1 @ X2 )
| ~ ( wife_THFTYPE_IiioI @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_24,plain,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
inference(sr,[status(thm)],[c_0_20,c_0_21]) ).
thf(c_0_25,negated_conjecture,
! [X1: $i] :
~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ X1 ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
thf(c_0_26,plain,
$false,
inference(sr,[status(thm)],[c_0_24,c_0_25]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : CSR143^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.26 % Computer : n026.cluster.edu
% 0.09/0.26 % Model : x86_64 x86_64
% 0.09/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.26 % Memory : 8046.5625MB
% 0.09/0.26 % OS : Linux 6.8.0-71-generic
% 0.09/0.26 % CPULimit : 300
% 0.09/0.26 % WCLimit : 300
% 0.09/0.26 % DateTime : Tue Sep 29 17:59:42 UTC 2026
% 0.09/0.27 % CPUTime :
% 0.09/0.27 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.33 Running higher-order theorem proving
% 0.25/0.36 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.twmopnJ5i9/E---3.1_954459.p
% 0.33/0.46 % Version: 3.5.1-ho
% 0.33/0.46 % Preprocessing class: HSLMSMSMSSSNHFA.
% 0.33/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.33/0.46 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.33/0.46 % Starting new_ho_10 with 300s (1) cores
% 0.33/0.46 % Starting new_bool_6 with 300s (1) cores
% 0.33/0.46 % Starting lpo8_s with 300s (1) cores
% 0.33/0.46 % lpo8_s with pid 954475 completed with status 0
% 0.33/0.46 % Result found by lpo8_s
% 0.33/0.46 % Preprocessing class: HSLMSMSMSSSNHFA.
% 0.33/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.33/0.46 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.33/0.46 % Starting new_ho_10 with 300s (1) cores
% 0.33/0.46 % Starting new_bool_6 with 300s (1) cores
% 0.33/0.46 % Starting lpo8_s with 300s (1) cores
% 0.33/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,4.0,,6,20000,1.0))
% 0.33/0.46 % SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)
% 0.33/0.46 % Search class: HGHSS-FSMM21-SHFFFFBN
% 0.33/0.46 % partial match(1): HGHSS-FFMM21-SHFFFFBN
% 0.33/0.46 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.33/0.46 % Starting SubtermCWHack with 28s (1) cores
% 0.33/0.46 % SubtermCWHack with pid 954481 completed with status 0
% 0.33/0.46 % Result found by SubtermCWHack
% 0.33/0.46 % Preprocessing class: HSLMSMSMSSSNHFA.
% 0.33/0.46 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.33/0.46 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.33/0.46 % Starting new_ho_10 with 300s (1) cores
% 0.33/0.46 % Starting new_bool_6 with 300s (1) cores
% 0.33/0.46 % Starting lpo8_s with 300s (1) cores
% 0.33/0.46 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,4.0,,6,20000,1.0))
% 0.33/0.46 % SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)
% 0.33/0.46 % Search class: HGHSS-FSMM21-SHFFFFBN
% 0.33/0.46 % partial match(1): HGHSS-FFMM21-SHFFFFBN
% 0.33/0.46 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.33/0.46 % Starting SubtermCWHack with 28s (1) cores
% 0.33/0.46 % Preprocessing time : 0.004 s
% 0.33/0.46
% 0.33/0.46 % Proof found!
% 0.33/0.46 % SZS status Theorem
% 0.33/0.46 % SZS output start CNFRefutation
% See solution above
% 0.33/0.46 % Parsed axioms : 430
% 0.33/0.46 % Removed by relevancy pruning/SinE : 151
% 0.33/0.46 % Initial clauses : 302
% 0.33/0.46 % Removed in clause preprocessing : 6
% 0.33/0.46 % Initial clauses in saturation : 296
% 0.33/0.46 % Processed clauses : 510
% 0.33/0.46 % ...of these trivial : 30
% 0.33/0.46 % ...subsumed : 33
% 0.33/0.46 % ...remaining for further processing : 447
% 0.33/0.46 % Other redundant clauses eliminated : 2
% 0.33/0.46 % Clauses deleted for lack of memory : 0
% 0.33/0.46 % Backward-subsumed : 1
% 0.33/0.46 % Backward-rewritten : 1
% 0.33/0.46 % Generated clauses : 344
% 0.33/0.46 % ...of the previous two non-redundant : 306
% 0.33/0.46 % ...aggressively subsumed : 0
% 0.33/0.46 % Contextual simplify-reflections : 0
% 0.33/0.46 % Paramodulations : 339
% 0.33/0.46 % Factorizations : 0
% 0.33/0.46 % NegExts : 0
% 0.33/0.46 % Equation resolutions : 3
% 0.33/0.46 % Disequality decompositions : 0
% 0.33/0.46 % Total rewrite steps : 63
% 0.33/0.46 % ...of those cached : 30
% 0.33/0.46 % Propositional unsat checks : 0
% 0.33/0.46 % Propositional check models : 0
% 0.33/0.46 % Propositional check unsatisfiable : 0
% 0.33/0.46 % Propositional clauses : 0
% 0.33/0.46 % Propositional clauses after purity: 0
% 0.33/0.46 % Propositional unsat core size : 0
% 0.33/0.46 % Propositional preprocessing time : 0.000
% 0.33/0.46 % Propositional encoding time : 0.000
% 0.33/0.46 % Propositional solver time : 0.000
% 0.33/0.46 % Success case prop preproc time : 0.000
% 0.33/0.46 % Success case prop encoding time : 0.000
% 0.33/0.46 % Success case prop solver time : 0.000
% 0.33/0.46 % Current number of processed clauses : 441
% 0.33/0.46 % Positive orientable unit clauses : 268
% 0.33/0.46 % Positive unorientable unit clauses: 0
% 0.33/0.46 % Negative unit clauses : 14
% 0.33/0.46 % Non-unit-clauses : 159
% 0.33/0.46 % Current number of unprocessed clauses: 91
% 0.33/0.46 % ...number of literals in the above : 296
% 0.33/0.46 % Current number of archived formulas : 0
% 0.33/0.46 % Current number of archived clauses : 4
% 0.33/0.46 % Clause-clause subsumption calls (NU) : 2426
% 0.33/0.46 % Rec. Clause-clause subsumption calls : 2252
% 0.33/0.46 % Non-unit clause-clause subsumptions : 29
% 0.33/0.46 % Unit Clause-clause subsumption calls : 331
% 0.33/0.46 % Rewrite failures with RHS unbound : 0
% 0.33/0.46 % BW rewrite match attempts : 1
% 0.33/0.46 % BW rewrite match successes : 1
% 0.33/0.46 % Condensation attempts : 0
% 0.33/0.46 % Condensation successes : 0
% 0.33/0.46 % Termbank termtop insertions : 18618
% 0.33/0.46 % Search garbage collected termcells : 2206
% 0.33/0.46
% 0.33/0.46 % -------------------------------------------------
% 0.33/0.46 % User time : 0.040 s
% 0.33/0.46 % System time : 0.011 s
% 0.33/0.46 % Total time : 0.051 s
% 0.33/0.46 % Maximum resident set size: 4932 pages
% 0.33/0.46
% 0.33/0.46 % -------------------------------------------------
% 0.33/0.46 % User time : 0.053 s
% 0.33/0.46 % System time : 0.018 s
% 0.33/0.46 % Total time : 0.071 s
% 0.33/0.46 % Maximum resident set size: 5120 pages
% 0.33/0.46 % E exiting
%------------------------------------------------------------------------------