%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR145^1 : 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 : 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 07:46:40 AM UTC 2026
% Result : Theorem 0.11s 0.25s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 20 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 28 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 115 ( 23 ~; 14 |; 5 &; 70 @)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 36 ( 4 ^; 27 !; 5 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_24,type,
lChris_THFTYPE_i: $i ).
thf(decl_25,type,
lCorina_THFTYPE_i: $i ).
thf(decl_26,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_27,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(decl_28,type,
esk1_0: $i ).
thf(con,conjecture,
? [X6: $i > $i > $o] :
( ( X6 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
& ( X6
!= ( ^ [X5: $i,X7: $i] : $true ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uyi4L10Qxl/E---3.1_680965.p',con) ).
thf(ax_001,axiom,
! [X1: $i > $i > $o,X2: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X2 @ X1 )
=> ! [X3: $i,X4: $i] :
( ( X2 @ X3 @ X4 )
<=> ( X1 @ X4 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.uyi4L10Qxl/E---3.1_680965.p',ax_001) ).
thf(ax_002,axiom,
? [X5: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X5 ),
file('/export/starexec/sandbox2/tmp/tmp.uyi4L10Qxl/E---3.1_680965.p',ax_002) ).
thf(ax,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox2/tmp/tmp.uyi4L10Qxl/E---3.1_680965.p',ax) ).
thf(ax_003,axiom,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
file('/export/starexec/sandbox2/tmp/tmp.uyi4L10Qxl/E---3.1_680965.p',ax_003) ).
thf(c_0_5,negated_conjecture,
~ ? [X6: $i > $i > $o] :
( ( X6 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
& ( X6
!= ( ^ [X5: $i,X7: $i] : $true ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_6,negated_conjecture,
~ ? [X6: $i > $i > $o] :
( ( X6 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
& ~ ! [X14: $i,X15: $i] :
( ( X6 @ X14 @ X15 )
<=> $true ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_5])]) ).
thf(c_0_7,negated_conjecture,
! [X21: $i > $i > $o,X22: $i,X23: $i] :
( ( ~ ( X21 @ X22 @ X23 )
| $true
| ~ ( X21 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
& ( ~ $true
| ( X21 @ X22 @ X23 )
| ~ ( X21 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])])]) ).
thf(c_0_8,plain,
! [X16: $i > $i > $o,X17: $i > $i > $o,X18: $i,X19: $i] :
( ( ~ ( X17 @ X18 @ X19 )
| ( X16 @ X19 @ X18 )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X17 @ X16 ) )
& ( ~ ( X16 @ X19 @ X18 )
| ( X17 @ X18 @ X19 )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X17 @ X16 ) ) ),
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_001])])])])]) ).
thf(c_0_9,plain,
? [X5: $i] :
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ X5 ),
inference(fof_simplification,[status(thm)],[ax_002]) ).
thf(c_0_10,negated_conjecture,
! [X4: $i,X3: $i,X1: $i > $i > $o] :
( ( X1 @ X3 @ X4 )
| ~ $true
| ~ ( X1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
! [X4: $i,X3: $i,X2: $i > $i > $o,X1: $i > $i > $o] :
( ( X2 @ X4 @ X3 )
| ~ ( X1 @ X3 @ X4 )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_12,plain,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
inference(split_conjunct,[status(thm)],[ax]) ).
thf(c_0_13,plain,
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ esk1_0 ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_9])])]) ).
thf(c_0_14,negated_conjecture,
! [X4: $i,X3: $i,X1: $i > $i > $o] :
( ( X1 @ X3 @ X4 )
| ~ ( X1 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ),
inference(cn,[status(thm)],[c_0_10]) ).
thf(c_0_15,plain,
! [X4: $i,X3: $i] :
( ( husband_THFTYPE_IiioI @ X3 @ X4 )
| ~ ( wife_THFTYPE_IiioI @ X4 @ X3 ) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
thf(c_0_16,plain,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax_003]) ).
thf(c_0_17,plain,
~ ( husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_18,negated_conjecture,
! [X3: $i,X4: $i] : ( husband_THFTYPE_IiioI @ X3 @ X4 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
thf(c_0_19,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR145^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.17 % Computer : n017.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Tue Sep 29 17:52:37 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.22 Running higher-order theorem proving
% 0.11/0.23 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.uyi4L10Qxl/E---3.1_680965.p
% 0.11/0.25 % Version: 3.5.1-ho
% 0.11/0.25 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.11/0.25 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.25 % Starting post_as_ho12 with 300s (1) cores
% 0.11/0.25 % Starting new_bool_9 with 300s (1) cores
% 0.11/0.25 % Starting post_as_ho1 with 300s (1) cores
% 0.11/0.25 % Starting post_as_ho4 with 300s (1) cores
% 0.11/0.25 % Starting post_as_ho2 with 300s (1) cores
% 0.11/0.25 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.11/0.25 % Starting full_lambda_10 with 300s (1) cores
% 0.11/0.25 % Starting new_ho_8 with 300s (1) cores
% 0.11/0.25 % post_as_ho2 with pid 680997 completed with status 0
% 0.11/0.25 % Result found by post_as_ho2
% 0.11/0.25 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.11/0.25 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.25 % Starting post_as_ho12 with 300s (1) cores
% 0.11/0.25 % Starting new_bool_9 with 300s (1) cores
% 0.11/0.25 % Starting post_as_ho1 with 300s (1) cores
% 0.11/0.25 % Starting post_as_ho4 with 300s (1) cores
% 0.11/0.25 % Starting post_as_ho2 with 300s (1) cores
% 0.11/0.25 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.25 % No SInE strategy applied
% 0.11/0.25 % Search class: HHUNF-FFSF00-SSSFFMBN
% 0.11/0.25 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.25 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.25 % SubtermCWHack with pid 681001 completed with status 0
% 0.11/0.25 % Result found by SubtermCWHack
% 0.11/0.25 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.11/0.25 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.25 % Starting post_as_ho12 with 300s (1) cores
% 0.11/0.25 % Starting new_bool_9 with 300s (1) cores
% 0.11/0.25 % Starting post_as_ho1 with 300s (1) cores
% 0.11/0.25 % Starting post_as_ho4 with 300s (1) cores
% 0.11/0.25 % Starting post_as_ho2 with 300s (1) cores
% 0.11/0.25 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.25 % No SInE strategy applied
% 0.11/0.25 % Search class: HHUNF-FFSF00-SSSFFMBN
% 0.11/0.25 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.25 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.25 % Preprocessing time : 0.001 s
% 0.11/0.25
% 0.11/0.25 % Proof found!
% 0.11/0.25 % SZS status Theorem
% 0.11/0.25 % SZS output start CNFRefutation
% See solution above
% 0.11/0.25 % Parsed axioms : 11
% 0.11/0.25 % Removed by relevancy pruning/SinE : 0
% 0.11/0.25 % Initial clauses : 13
% 0.11/0.25 % Removed in clause preprocessing : 7
% 0.11/0.25 % Initial clauses in saturation : 6
% 0.11/0.25 % Processed clauses : 7
% 0.11/0.25 % ...of these trivial : 0
% 0.11/0.25 % ...subsumed : 0
% 0.11/0.25 % ...remaining for further processing : 7
% 0.11/0.25 % Other redundant clauses eliminated : 0
% 0.11/0.25 % Clauses deleted for lack of memory : 0
% 0.11/0.25 % Backward-subsumed : 1
% 0.11/0.25 % Backward-rewritten : 1
% 0.11/0.25 % Generated clauses : 4
% 0.11/0.25 % ...of the previous two non-redundant : 3
% 0.11/0.25 % ...aggressively subsumed : 0
% 0.11/0.25 % Contextual simplify-reflections : 0
% 0.11/0.25 % Paramodulations : 4
% 0.11/0.25 % Factorizations : 0
% 0.11/0.25 % NegExts : 0
% 0.11/0.25 % Equation resolutions : 0
% 0.11/0.25 % Disequality decompositions : 0
% 0.11/0.25 % Total rewrite steps : 2
% 0.11/0.25 % ...of those cached : 0
% 0.11/0.25 % Propositional unsat checks : 0
% 0.11/0.25 % Propositional check models : 0
% 0.11/0.25 % Propositional check unsatisfiable : 0
% 0.11/0.25 % Propositional clauses : 0
% 0.11/0.25 % Propositional clauses after purity: 0
% 0.11/0.25 % Propositional unsat core size : 0
% 0.11/0.25 % Propositional preprocessing time : 0.000
% 0.11/0.25 % Propositional encoding time : 0.000
% 0.11/0.25 % Propositional solver time : 0.000
% 0.11/0.25 % Success case prop preproc time : 0.000
% 0.11/0.25 % Success case prop encoding time : 0.000
% 0.11/0.25 % Success case prop solver time : 0.000
% 0.11/0.25 % Current number of processed clauses : 5
% 0.11/0.25 % Positive orientable unit clauses : 3
% 0.11/0.25 % Positive unorientable unit clauses: 0
% 0.11/0.25 % Negative unit clauses : 0
% 0.11/0.25 % Non-unit-clauses : 2
% 0.11/0.25 % Current number of unprocessed clauses: 2
% 0.11/0.25 % ...number of literals in the above : 4
% 0.11/0.25 % Current number of archived formulas : 0
% 0.11/0.25 % Current number of archived clauses : 2
% 0.11/0.25 % Clause-clause subsumption calls (NU) : 0
% 0.11/0.25 % Rec. Clause-clause subsumption calls : 0
% 0.11/0.25 % Non-unit clause-clause subsumptions : 0
% 0.11/0.25 % Unit Clause-clause subsumption calls : 1
% 0.11/0.25 % Rewrite failures with RHS unbound : 0
% 0.11/0.25 % BW rewrite match attempts : 3
% 0.11/0.25 % BW rewrite match successes : 2
% 0.11/0.25 % Condensation attempts : 0
% 0.11/0.25 % Condensation successes : 0
% 0.11/0.25 % Termbank termtop insertions : 658
% 0.11/0.25 % Search garbage collected termcells : 143
% 0.11/0.25
% 0.11/0.25 % -------------------------------------------------
% 0.11/0.25 % User time : 0.003 s
% 0.11/0.25 % System time : 0.000 s
% 0.11/0.25 % Total time : 0.003 s
% 0.11/0.25 % Maximum resident set size: 3636 pages
% 0.11/0.25
% 0.11/0.25 % -------------------------------------------------
% 0.11/0.25 % User time : 0.004 s
% 0.11/0.25 % System time : 0.006 s
% 0.11/0.25 % Total time : 0.010 s
% 0.11/0.25 % Maximum resident set size: 4864 pages
% 0.11/0.25 % E exiting
%------------------------------------------------------------------------------