%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR142^2 : 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 : n003.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 0.39s 0.28s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 67 ( 11 ~; 7 |; 1 &; 46 @)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 19 ( 0 ^; 17 !; 2 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_45,type,
husband_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_55,type,
inverse_THFTYPE_IIiioIIiioIoI: ( $i > $i > $o ) > ( $i > $i > $o ) > $o ).
thf(decl_64,type,
lChris_THFTYPE_i: $i ).
thf(decl_65,type,
lCorina_THFTYPE_i: $i ).
thf(decl_125,type,
wife_THFTYPE_IiioI: $i > $i > $o ).
thf(con,conjecture,
? [X7: $i] : ( husband_THFTYPE_IiioI @ X7 @ lCorina_THFTYPE_i ),
file('/export/starexec/sandbox/tmp/tmp.opskblr8Ls/E---3.1_2846495.p',con) ).
thf(ax_006,axiom,
! [X11: $i > $i > $o,X12: $i > $i > $o] :
( ( inverse_THFTYPE_IIiioIIiioIoI @ X12 @ X11 )
=> ! [X13: $i,X14: $i] :
( ( X12 @ X13 @ X14 )
<=> ( X11 @ X14 @ X13 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.opskblr8Ls/E---3.1_2846495.p',ax_006) ).
thf(ax_042,axiom,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
file('/export/starexec/sandbox/tmp/tmp.opskblr8Ls/E---3.1_2846495.p',ax_042) ).
thf(ax_051,axiom,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
file('/export/starexec/sandbox/tmp/tmp.opskblr8Ls/E---3.1_2846495.p',ax_051) ).
thf(c_0_4,negated_conjecture,
~ ? [X7: $i] : ( husband_THFTYPE_IiioI @ X7 @ lCorina_THFTYPE_i ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_5,plain,
! [X183: $i > $i > $o,X184: $i > $i > $o,X185: $i,X186: $i] :
( ( ~ ( X184 @ X185 @ X186 )
| ( X183 @ X186 @ X185 )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X184 @ X183 ) )
& ( ~ ( X183 @ X186 @ X185 )
| ( X184 @ X185 @ X186 )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X184 @ X183 ) ) ),
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_6,negated_conjecture,
! [X182: $i] :
~ ( husband_THFTYPE_IiioI @ X182 @ lCorina_THFTYPE_i ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
thf(c_0_7,plain,
! [X2: $i,X11: $i > $i > $o,X3: $i,X1: $i > $i > $o] :
( ( X11 @ X3 @ X2 )
| ~ ( X1 @ X2 @ X3 )
| ~ ( inverse_THFTYPE_IIiioIIiioIoI @ X11 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
inverse_THFTYPE_IIiioIIiioIoI @ husband_THFTYPE_IiioI @ wife_THFTYPE_IiioI,
inference(split_conjunct,[status(thm)],[ax_042]) ).
thf(c_0_9,negated_conjecture,
! [X2: $i] :
~ ( husband_THFTYPE_IiioI @ X2 @ lCorina_THFTYPE_i ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
! [X3: $i,X2: $i] :
( ( husband_THFTYPE_IiioI @ X2 @ X3 )
| ~ ( wife_THFTYPE_IiioI @ X3 @ X2 ) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_11,plain,
wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ lChris_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax_051]) ).
thf(c_0_12,negated_conjecture,
! [X2: $i] :
~ ( wife_THFTYPE_IiioI @ lCorina_THFTYPE_i @ X2 ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_13,plain,
$false,
inference(sr,[status(thm)],[c_0_11,c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR142^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16 % Computer : n003.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Sep 29 17:58:28 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running higher-order theorem proving
% 0.09/0.23 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.opskblr8Ls/E---3.1_2846495.p
% 0.39/0.28 % Version: 3.5.1-ho
% 0.39/0.28 % Preprocessing class: HSLMSMSMSSSNHFA.
% 0.39/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.28 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.39/0.28 % Starting new_ho_10 with 300s (1) cores
% 0.39/0.28 % Starting new_bool_6 with 300s (1) cores
% 0.39/0.28 % Starting lpo8_s with 300s (1) cores
% 0.39/0.28 % lpo8_s with pid 2846535 completed with status 0
% 0.39/0.28 % Result found by lpo8_s
% 0.39/0.28 % Preprocessing class: HSLMSMSMSSSNHFA.
% 0.39/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.28 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.39/0.28 % Starting new_ho_10 with 300s (1) cores
% 0.39/0.28 % Starting new_bool_6 with 300s (1) cores
% 0.39/0.28 % Starting lpo8_s with 300s (1) cores
% 0.39/0.28 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,4.0,,6,20000,1.0))
% 0.39/0.28 % SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)
% 0.39/0.28 % Search class: HGHSF-FFMM21-SHFFFFBN
% 0.39/0.28 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.39/0.28 % Starting SubtermCWHack with 28s (1) cores
% 0.39/0.28 % SubtermCWHack with pid 2846539 completed with status 0
% 0.39/0.28 % Result found by SubtermCWHack
% 0.39/0.28 % Preprocessing class: HSLMSMSMSSSNHFA.
% 0.39/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.28 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.39/0.28 % Starting new_ho_10 with 300s (1) cores
% 0.39/0.28 % Starting new_bool_6 with 300s (1) cores
% 0.39/0.28 % Starting lpo8_s with 300s (1) cores
% 0.39/0.28 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,4.0,,6,20000,1.0))
% 0.39/0.28 % SinE strategy is GSinE(CountFormulas,hypos,4.0,,6,20000,1.0)
% 0.39/0.28 % Search class: HGHSF-FFMM21-SHFFFFBN
% 0.39/0.28 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.39/0.28 % Starting SubtermCWHack with 28s (1) cores
% 0.39/0.28 % Preprocessing time : 0.002 s
% 0.39/0.28
% 0.39/0.28 % Proof found!
% 0.39/0.28 % SZS status Theorem
% 0.39/0.28 % SZS output start CNFRefutation
% See solution above
% 0.39/0.28 % Parsed axioms : 334
% 0.39/0.28 % Removed by relevancy pruning/SinE : 112
% 0.39/0.28 % Initial clauses : 239
% 0.39/0.28 % Removed in clause preprocessing : 5
% 0.39/0.28 % Initial clauses in saturation : 234
% 0.39/0.28 % Processed clauses : 337
% 0.39/0.28 % ...of these trivial : 1
% 0.39/0.28 % ...subsumed : 12
% 0.39/0.28 % ...remaining for further processing : 324
% 0.39/0.28 % Other redundant clauses eliminated : 2
% 0.39/0.28 % Clauses deleted for lack of memory : 0
% 0.39/0.28 % Backward-subsumed : 0
% 0.39/0.28 % Backward-rewritten : 1
% 0.39/0.28 % Generated clauses : 194
% 0.39/0.28 % ...of the previous two non-redundant : 167
% 0.39/0.28 % ...aggressively subsumed : 0
% 0.39/0.28 % Contextual simplify-reflections : 0
% 0.39/0.28 % Paramodulations : 190
% 0.39/0.28 % Factorizations : 0
% 0.39/0.28 % NegExts : 0
% 0.39/0.28 % Equation resolutions : 3
% 0.39/0.28 % Disequality decompositions : 0
% 0.39/0.28 % Total rewrite steps : 19
% 0.39/0.28 % ...of those cached : 5
% 0.39/0.28 % Propositional unsat checks : 0
% 0.39/0.28 % Propositional check models : 0
% 0.39/0.28 % Propositional check unsatisfiable : 0
% 0.39/0.28 % Propositional clauses : 0
% 0.39/0.28 % Propositional clauses after purity: 0
% 0.39/0.28 % Propositional unsat core size : 0
% 0.39/0.28 % Propositional preprocessing time : 0.000
% 0.39/0.28 % Propositional encoding time : 0.000
% 0.39/0.28 % Propositional solver time : 0.000
% 0.39/0.28 % Success case prop preproc time : 0.000
% 0.39/0.28 % Success case prop encoding time : 0.000
% 0.39/0.28 % Success case prop solver time : 0.000
% 0.39/0.28 % Current number of processed clauses : 320
% 0.39/0.28 % Positive orientable unit clauses : 190
% 0.39/0.28 % Positive unorientable unit clauses: 0
% 0.39/0.28 % Negative unit clauses : 12
% 0.39/0.28 % Non-unit-clauses : 118
% 0.39/0.28 % Current number of unprocessed clauses: 64
% 0.39/0.28 % ...number of literals in the above : 203
% 0.39/0.28 % Current number of archived formulas : 0
% 0.39/0.28 % Current number of archived clauses : 2
% 0.39/0.28 % Clause-clause subsumption calls (NU) : 1029
% 0.39/0.28 % Rec. Clause-clause subsumption calls : 989
% 0.39/0.28 % Non-unit clause-clause subsumptions : 11
% 0.39/0.28 % Unit Clause-clause subsumption calls : 250
% 0.39/0.28 % Rewrite failures with RHS unbound : 0
% 0.39/0.28 % BW rewrite match attempts : 1
% 0.39/0.28 % BW rewrite match successes : 1
% 0.39/0.28 % Condensation attempts : 0
% 0.39/0.28 % Condensation successes : 0
% 0.39/0.28 % Termbank termtop insertions : 13960
% 0.39/0.28 % Search garbage collected termcells : 1813
% 0.39/0.28
% 0.39/0.28 % -------------------------------------------------
% 0.39/0.28 % User time : 0.015 s
% 0.39/0.28 % System time : 0.006 s
% 0.39/0.28 % Total time : 0.021 s
% 0.39/0.28 % Maximum resident set size: 4612 pages
% 0.39/0.28
% 0.39/0.28 % -------------------------------------------------
% 0.39/0.28 % User time : 0.021 s
% 0.39/0.28 % System time : 0.010 s
% 0.39/0.28 % Total time : 0.031 s
% 0.39/0.28 % Maximum resident set size: 5120 pages
% 0.39/0.28 % E exiting
%------------------------------------------------------------------------------