%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR145^2 : 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 : n014.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 0.20s 0.32s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 34 ( 2 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 140 ( 25 ~; 17 |; 6 &; 88 @)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 42 ( 4 ^; 35 !; 3 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_54,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_63,type,
instance_THFTYPE_IIiioIioI: ( $i > $i > $o ) > $i > $o ).
thf(decl_68,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(decl_78,type,
lChris_THFTYPE_i: $i ).
thf(decl_83,type,
lCorina_THFTYPE_i: $i ).
thf(decl_93,type,
lIrreflexiveRelation_THFTYPE_i: $i ).
thf(decl_169,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_176,type,
esk6_1: ( $i > $i > $o ) > $i ).
thf(con,conjecture,
? [X77: $i > $i > $o] :
( ( X77 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
& ( X77
!= ( ^ [X1: $i,X2: $i] : $true ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Dd6WtOlopA/E---3.1_3002044.p',con) ).
thf(ax_006,axiom,
! [X5: $i > $i > $o,X6: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X6 @ X5 )
=> ! [X7: $i,X8: $i] :
( ( X6 @ X7 @ X8 )
<=> ( X5 @ X8 @ X7 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.Dd6WtOlopA/E---3.1_3002044.p',ax_006) ).
thf(ax_089,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox/tmp/tmp.Dd6WtOlopA/E---3.1_3002044.p',ax_089) ).
thf(ax_031,axiom,
! [X32: $i > $i > $o] :
( ( instance_THFTYPE_IIiioIioI @ X32 @ lIrreflexiveRelation_THFTYPE_i )
<=> ! [X33: $i] :
~ ( X32 @ X33 @ X33 ) ),
file('/export/starexec/sandbox/tmp/tmp.Dd6WtOlopA/E---3.1_3002044.p',ax_031) ).
thf(ax_094,axiom,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
file('/export/starexec/sandbox/tmp/tmp.Dd6WtOlopA/E---3.1_3002044.p',ax_094) ).
thf(ax_266,axiom,
instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
file('/export/starexec/sandbox/tmp/tmp.Dd6WtOlopA/E---3.1_3002044.p',ax_266) ).
thf(c_0_6,negated_conjecture,
~ ? [X77: $i > $i > $o] :
( ( X77 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
& ( X77
!= ( ^ [X1: $i,X2: $i] : $true ) ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_7,negated_conjecture,
~ ? [X77: $i > $i > $o] :
( ( X77 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i )
& ~ ! [X257: $i,X258: $i] :
( ( X77 @ X257 @ X258 )
<=> $true ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_6])]) ).
thf(c_0_8,plain,
! [X265: $i > $i > $o,X266: $i > $i > $o,X267: $i,X268: $i] :
( ( ~ ( X266 @ X267 @ X268 )
| ( X265 @ X268 @ X267 )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X266 @ X265 ) )
& ( ~ ( X265 @ X268 @ X267 )
| ( X266 @ X267 @ X268 )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X266 @ X265 ) ) ),
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_006])])])])]) ).
thf(c_0_9,negated_conjecture,
! [X451: $i > $i > $o,X452: $i,X453: $i] :
( ( ~ ( X451 @ X452 @ X453 )
| $true
| ~ ( X451 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) )
& ( ~ $true
| ( X451 @ X452 @ X453 )
| ~ ( X451 @ 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_7])])])])]) ).
thf(c_0_10,plain,
! [X1: $i,X2: $i,X6: $i > $i > $o,X5: $i > $i > $o] :
( ( X6 @ X2 @ X1 )
| ~ ( X5 @ X1 @ X2 )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X6 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_11,plain,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
inference(split_conjunct,[status(thm)],[ax_089]) ).
thf(c_0_12,plain,
! [X311: $i > $i > $o,X312: $i,X313: $i > $i > $o] :
( ( ~ ( instance_THFTYPE_IIiioIioI @ X311 @ lIrreflexiveRelation_THFTYPE_i )
| ~ ( X311 @ X312 @ X312 ) )
& ( ( X313 @ ( esk6_1 @ X313 ) @ ( esk6_1 @ X313 ) )
| ( instance_THFTYPE_IIiioIioI @ X313 @ lIrreflexiveRelation_THFTYPE_i ) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[ax_031])])])])])]) ).
thf(c_0_13,negated_conjecture,
! [X1: $i,X2: $i,X5: $i > $i > $o] :
( ( X5 @ X1 @ X2 )
| ~ $true
| ~ ( X5 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_14,plain,
! [X2: $i,X1: $i] :
( ( husband_THFTYPE_IiioI @ X1 @ X2 )
| ~ ( wife_THFTYPE_IiioI @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_15,plain,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax_094]) ).
thf(c_0_16,plain,
! [X5: $i > $i > $o,X1: $i] :
( ~ ( instance_THFTYPE_IIiioIioI @ X5 @ lIrreflexiveRelation_THFTYPE_i )
| ~ ( X5 @ X1 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_17,plain,
instance_THFTYPE_IIiioIioI @ husband_THFTYPE_IiioI @ lIrreflexiveRelation_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax_266]) ).
thf(c_0_18,negated_conjecture,
! [X1: $i,X2: $i,X5: $i > $i > $o] :
( ( X5 @ X1 @ X2 )
| ~ ( X5 @ lChris_THFTYPE_i @ lCorina_THFTYPE_i ) ),
inference(cn,[status(thm)],[c_0_13]) ).
thf(c_0_19,plain,
husband_THFTYPE_IiioI @ lChris_THFTYPE_i @ lCorina_THFTYPE_i,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_20,plain,
! [X1: $i] :
~ ( husband_THFTYPE_IiioI @ X1 @ X1 ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_21,negated_conjecture,
! [X1: $i,X2: $i] : ( husband_THFTYPE_IiioI @ X1 @ X2 ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_22,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR145^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n014.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Sep 29 17:57:00 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running higher-order theorem proving
% 0.20/0.26 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.Dd6WtOlopA/E---3.1_3002044.p
% 0.20/0.32 % Version: 3.5.1-ho
% 0.20/0.32 % Preprocessing class: HSLMSMSMSSSNHSA.
% 0.20/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.32 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.32 % Starting sh7 with 300s (1) cores
% 0.20/0.32 % Starting ho_unfolding_2 with 300s (1) cores
% 0.20/0.32 % Starting new_bool_12 with 300s (1) cores
% 0.20/0.32 % sh7 with pid 3002061 completed with status 0
% 0.20/0.32 % Result found by sh7
% 0.20/0.32 % Preprocessing class: HSLMSMSMSSSNHSA.
% 0.20/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.32 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.32 % Starting sh7 with 300s (1) cores
% 0.20/0.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.32 % No SInE strategy applied
% 0.20/0.32 % Search class: HGHSF-FSLM21-SHSFFFBN
% 0.20/0.32 % partial match(2): HGHSF-FFMM21-SHSFFFBN
% 0.20/0.32 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.32 % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.32 % SubtermCWHack with pid 3002074 completed with status 0
% 0.20/0.32 % Result found by SubtermCWHack
% 0.20/0.32 % Preprocessing class: HSLMSMSMSSSNHSA.
% 0.20/0.32 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.32 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.20/0.32 % Starting sh7 with 300s (1) cores
% 0.20/0.32 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.20/0.32 % No SInE strategy applied
% 0.20/0.32 % Search class: HGHSF-FSLM21-SHSFFFBN
% 0.20/0.32 % partial match(2): HGHSF-FFMM21-SHSFFFBN
% 0.20/0.32 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.32 % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.32 % Preprocessing time : 0.003 s
% 0.20/0.32
% 0.20/0.32 % Proof found!
% 0.20/0.32 % SZS status Theorem
% 0.20/0.32 % SZS output start CNFRefutation
% See solution above
% 0.20/0.32 % Parsed axioms : 465
% 0.20/0.32 % Removed by relevancy pruning/SinE : 0
% 0.20/0.32 % Initial clauses : 497
% 0.20/0.32 % Removed in clause preprocessing : 161
% 0.20/0.32 % Initial clauses in saturation : 336
% 0.20/0.32 % Processed clauses : 652
% 0.20/0.32 % ...of these trivial : 47
% 0.20/0.32 % ...subsumed : 25
% 0.20/0.32 % ...remaining for further processing : 580
% 0.20/0.32 % Other redundant clauses eliminated : 4
% 0.20/0.32 % Clauses deleted for lack of memory : 0
% 0.20/0.32 % Backward-subsumed : 0
% 0.20/0.32 % Backward-rewritten : 6
% 0.20/0.32 % Generated clauses : 485
% 0.20/0.32 % ...of the previous two non-redundant : 441
% 0.20/0.32 % ...aggressively subsumed : 0
% 0.20/0.32 % Contextual simplify-reflections : 0
% 0.20/0.32 % Paramodulations : 481
% 0.20/0.32 % Factorizations : 0
% 0.20/0.32 % NegExts : 0
% 0.20/0.32 % Equation resolutions : 5
% 0.20/0.32 % Disequality decompositions : 0
% 0.20/0.32 % Total rewrite steps : 78
% 0.20/0.32 % ...of those cached : 28
% 0.20/0.32 % Propositional unsat checks : 0
% 0.20/0.32 % Propositional check models : 0
% 0.20/0.32 % Propositional check unsatisfiable : 0
% 0.20/0.32 % Propositional clauses : 0
% 0.20/0.32 % Propositional clauses after purity: 0
% 0.20/0.32 % Propositional unsat core size : 0
% 0.20/0.32 % Propositional preprocessing time : 0.000
% 0.20/0.32 % Propositional encoding time : 0.000
% 0.20/0.32 % Propositional solver time : 0.000
% 0.20/0.32 % Success case prop preproc time : 0.000
% 0.20/0.32 % Success case prop encoding time : 0.000
% 0.20/0.32 % Success case prop solver time : 0.000
% 0.20/0.32 % Current number of processed clauses : 571
% 0.20/0.32 % Positive orientable unit clauses : 320
% 0.20/0.32 % Positive unorientable unit clauses: 0
% 0.20/0.32 % Negative unit clauses : 5
% 0.20/0.32 % Non-unit-clauses : 246
% 0.20/0.32 % Current number of unprocessed clauses: 125
% 0.20/0.32 % ...number of literals in the above : 383
% 0.20/0.32 % Current number of archived formulas : 0
% 0.20/0.32 % Current number of archived clauses : 6
% 0.20/0.32 % Clause-clause subsumption calls (NU) : 5465
% 0.20/0.32 % Rec. Clause-clause subsumption calls : 5105
% 0.20/0.32 % Non-unit clause-clause subsumptions : 25
% 0.20/0.32 % Unit Clause-clause subsumption calls : 729
% 0.20/0.32 % Rewrite failures with RHS unbound : 0
% 0.20/0.32 % BW rewrite match attempts : 7
% 0.20/0.32 % BW rewrite match successes : 6
% 0.20/0.32 % Condensation attempts : 0
% 0.20/0.32 % Condensation successes : 0
% 0.20/0.32 % Termbank termtop insertions : 25556
% 0.20/0.32 % Search garbage collected termcells : 2644
% 0.20/0.32
% 0.20/0.32 % -------------------------------------------------
% 0.20/0.32 % User time : 0.035 s
% 0.20/0.32 % System time : 0.005 s
% 0.20/0.32 % Total time : 0.039 s
% 0.20/0.32 % Maximum resident set size: 4508 pages
% 0.20/0.32
% 0.20/0.32 % -------------------------------------------------
% 0.20/0.32 % User time : 0.039 s
% 0.20/0.32 % System time : 0.007 s
% 0.20/0.32 % Total time : 0.046 s
% 0.20/0.32 % Maximum resident set size: 4864 pages
% 0.20/0.32 % E exiting
%------------------------------------------------------------------------------