%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : CSR150^3 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 07:46:51 AM UTC 2026
% Result : Theorem 0.82s 0.95s
% Output : CNFRefutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 24 ( 4 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 60 ( 8 ~; 6 |; 2 &; 43 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 5 ^; 9 !; 3 ?; 17 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_342,type,
lCardinalityFn_THFTYPE_IIioIiI: ( $i > $o ) > $i ).
thf(decl_1249,type,
lt_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_1250,type,
ltet_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_1452,type,
grandchild_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_1454,type,
lJohn_THFTYPE_i: $i ).
thf(con,conjecture,
? [X340: $i] :
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X339: $i] : ( grandchild_THFTYPE_IiioI @ X339 @ lJohn_THFTYPE_i ) )
@ X340 ),
file('/export/starexec/sandbox/tmp/tmp.ULMiji5s0t/E---3.1_1643722.p',con) ).
thf(ax1848,axiom,
! [X5: $i,X3: $i] :
( ( ltet_THFTYPE_IiioI @ X3 @ X5 )
<=> ( ( X3 = X5 )
| ( lt_THFTYPE_IiioI @ X3 @ X5 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.ULMiji5s0t/E---3.1_1643722.p',ax1848) ).
thf(c_0_2,negated_conjecture,
~ ? [X340: $i] :
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X339: $i] : ( grandchild_THFTYPE_IiioI @ X339 @ lJohn_THFTYPE_i ) )
@ X340 ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_3,negated_conjecture,
~ ? [X340: $i] :
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [Z0: $i] : ( grandchild_THFTYPE_IiioI @ Z0 @ lJohn_THFTYPE_i ) )
@ X340 ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
thf(c_0_4,plain,
! [X716: $i,X717: $i] :
( ( ~ ( ltet_THFTYPE_IiioI @ X717 @ X716 )
| ( X717 = X716 )
| ( lt_THFTYPE_IiioI @ X717 @ X716 ) )
& ( ( X717 != X716 )
| ( ltet_THFTYPE_IiioI @ X717 @ X716 ) )
& ( ~ ( lt_THFTYPE_IiioI @ X717 @ X716 )
| ( ltet_THFTYPE_IiioI @ X717 @ X716 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[ax1848])])])]) ).
thf(c_0_5,negated_conjecture,
! [X715: $i] :
~ ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [Z0: $i] : ( grandchild_THFTYPE_IiioI @ Z0 @ lJohn_THFTYPE_i ) )
@ X715 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])]) ).
thf(c_0_6,plain,
! [X1: $i,X2: $i] :
( ( ltet_THFTYPE_IiioI @ X1 @ X2 )
| ( X1 != X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
! [X1: $i] :
~ ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [Z0: $i] : ( grandchild_THFTYPE_IiioI @ Z0 @ lJohn_THFTYPE_i ) )
@ X1 ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
! [X1: $i] : ( ltet_THFTYPE_IiioI @ X1 @ X1 ),
inference(er,[status(thm)],[c_0_6]) ).
thf(c_0_9,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_7,c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR150^3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n002.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 18:00:22 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.76/0.85 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.ULMiji5s0t/E---3.1_1643722.p
% 0.82/0.95 % Version: 3.5.1-ho
% 0.82/0.95 % Preprocessing class: HMLLSMSLSSMCHSA.
% 0.82/0.95 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.82/0.95 % Starting new_ho_10 with 1500s (5) cores
% 0.82/0.95 % Starting sh5l with 300s (1) cores
% 0.82/0.95 % Starting new_bool_1 with 300s (1) cores
% 0.82/0.95 % Starting new_bool_2 with 300s (1) cores
% 0.82/0.95 % new_bool_1 with pid 1643737 completed with status 0
% 0.82/0.95 % Result found by new_bool_1
% 0.82/0.95 % Preprocessing class: HMLLSMSLSSMCHSA.
% 0.82/0.95 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.82/0.95 % Starting new_ho_10 with 1500s (5) cores
% 0.82/0.95 % Starting sh5l with 300s (1) cores
% 0.82/0.95 % Starting new_bool_1 with 300s (1) cores
% 0.82/0.95 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.82/0.95 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.82/0.95 % Search class: HGHSF-FFMM21-MHSFFFNN
% 0.82/0.95 % partial match(2): HGHSF-FFMM21-SHSFFFBN
% 0.82/0.95 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.82/0.95 % Starting SubtermCWHack with 28s (1) cores
% 0.82/0.95 % SubtermCWHack with pid 1643739 completed with status 0
% 0.82/0.95 % Result found by SubtermCWHack
% 0.82/0.95 % Preprocessing class: HMLLSMSLSSMCHSA.
% 0.82/0.95 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.82/0.95 % Starting new_ho_10 with 1500s (5) cores
% 0.82/0.95 % Starting sh5l with 300s (1) cores
% 0.82/0.95 % Starting new_bool_1 with 300s (1) cores
% 0.82/0.95 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.82/0.95 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.82/0.95 % Search class: HGHSF-FFMM21-MHSFFFNN
% 0.82/0.95 % partial match(2): HGHSF-FFMM21-SHSFFFBN
% 0.82/0.95 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.82/0.95 % Starting SubtermCWHack with 28s (1) cores
% 0.82/0.95 % Preprocessing time : 0.003 s
% 0.82/0.95
% 0.82/0.95 % Proof found!
% 0.82/0.95 % SZS status Theorem
% 0.82/0.95 % SZS output start CNFRefutation
% See solution above
% 0.82/0.95 % Parsed axioms : 5014
% 0.82/0.95 % Removed by relevancy pruning/SinE : 4960
% 0.82/0.95 % Initial clauses : 65
% 0.82/0.95 % Removed in clause preprocessing : 5
% 0.82/0.95 % Initial clauses in saturation : 60
% 0.82/0.95 % Processed clauses : 40
% 0.82/0.95 % ...of these trivial : 0
% 0.82/0.95 % ...subsumed : 0
% 0.82/0.95 % ...remaining for further processing : 40
% 0.82/0.95 % Other redundant clauses eliminated : 1
% 0.82/0.95 % Clauses deleted for lack of memory : 0
% 0.82/0.95 % Backward-subsumed : 0
% 0.82/0.95 % Backward-rewritten : 0
% 0.82/0.95 % Generated clauses : 4
% 0.82/0.95 % ...of the previous two non-redundant : 3
% 0.82/0.95 % ...aggressively subsumed : 0
% 0.82/0.95 % Contextual simplify-reflections : 0
% 0.82/0.95 % Paramodulations : 3
% 0.82/0.95 % Factorizations : 0
% 0.82/0.95 % NegExts : 0
% 0.82/0.95 % Equation resolutions : 1
% 0.82/0.95 % Disequality decompositions : 0
% 0.82/0.95 % Total rewrite steps : 0
% 0.82/0.95 % ...of those cached : 0
% 0.82/0.95 % Propositional unsat checks : 0
% 0.82/0.95 % Propositional check models : 0
% 0.82/0.95 % Propositional check unsatisfiable : 0
% 0.82/0.95 % Propositional clauses : 0
% 0.82/0.95 % Propositional clauses after purity: 0
% 0.82/0.95 % Propositional unsat core size : 0
% 0.82/0.95 % Propositional preprocessing time : 0.000
% 0.82/0.95 % Propositional encoding time : 0.000
% 0.82/0.95 % Propositional solver time : 0.000
% 0.82/0.95 % Success case prop preproc time : 0.000
% 0.82/0.95 % Success case prop encoding time : 0.000
% 0.82/0.95 % Success case prop solver time : 0.000
% 0.82/0.95 % Current number of processed clauses : 39
% 0.82/0.95 % Positive orientable unit clauses : 34
% 0.82/0.95 % Positive unorientable unit clauses: 0
% 0.82/0.95 % Negative unit clauses : 1
% 0.82/0.95 % Non-unit-clauses : 4
% 0.82/0.95 % Current number of unprocessed clauses: 23
% 0.82/0.95 % ...number of literals in the above : 64
% 0.82/0.95 % Current number of archived formulas : 0
% 0.82/0.95 % Current number of archived clauses : 0
% 0.82/0.95 % Clause-clause subsumption calls (NU) : 6
% 0.82/0.95 % Rec. Clause-clause subsumption calls : 4
% 0.82/0.95 % Non-unit clause-clause subsumptions : 0
% 0.82/0.95 % Unit Clause-clause subsumption calls : 5
% 0.82/0.95 % Rewrite failures with RHS unbound : 0
% 0.82/0.95 % BW rewrite match attempts : 0
% 0.82/0.95 % BW rewrite match successes : 0
% 0.82/0.95 % Condensation attempts : 0
% 0.82/0.95 % Condensation successes : 0
% 0.82/0.95 % Termbank termtop insertions : 37522
% 0.82/0.95 % Search garbage collected termcells : 18030
% 0.82/0.95
% 0.82/0.95 % -------------------------------------------------
% 0.82/0.95 % User time : 0.018 s
% 0.82/0.95 % System time : 0.016 s
% 0.82/0.95 % Total time : 0.034 s
% 0.82/0.95 % Maximum resident set size: 10932 pages
% 0.82/0.95
% 0.82/0.95 % -------------------------------------------------
% 0.82/0.95 % User time : 0.065 s
% 0.82/0.95 % System time : 0.021 s
% 0.82/0.95 % Total time : 0.086 s
% 0.82/0.95 % Maximum resident set size: 8960 pages
% 0.82/0.95 % E exiting
%------------------------------------------------------------------------------