%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : CSR150^2 : 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 : n006.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 0.24s 0.37s
% Output : CNFRefutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 73 ( 1 equ; 0 cnn)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 234 ( 26 ~; 23 |; 6 &; 176 @)
% ( 2 <=>; 0 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 7 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 45 ( 8 ^; 32 !; 5 ?; 45 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_45,type,
grandchild_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_46,type,
grandparent_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_65,type,
lCardinalityFn_THFTYPE_IIioIiI: ( $i > $o ) > $i ).
thf(decl_80,type,
lJohn_THFTYPE_i: $i ).
thf(decl_115,type,
ltet_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_119,type,
n3_THFTYPE_i: $i ).
thf(decl_121,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_140,type,
esk1_2: $i > $i > $i ).
thf(decl_142,type,
esk3_2: $i > $i > $i ).
thf(decl_144,type,
esk1_0: $i ).
thf(con,conjecture,
? [X8: $i] :
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X7: $i] : ( grandchild_THFTYPE_IiioI @ X7 @ lJohn_THFTYPE_i ) )
@ X8 ),
file('/export/starexec/sandbox2/tmp/tmp.ZFsRWhxLfj/E---3.1_1099248.p',con) ).
thf(ax_012,axiom,
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X7: $i] : ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X7 ) )
@ n3_THFTYPE_i ),
file('/export/starexec/sandbox2/tmp/tmp.ZFsRWhxLfj/E---3.1_1099248.p',ax_012) ).
thf(ax_036,axiom,
! [X7: $i,X8: $i] :
( ( grandchild_THFTYPE_IiioI @ X7 @ X8 )
<=> ? [X9: $i] :
( ( parent_THFTYPE_IiioI @ X9 @ X7 )
& ( parent_THFTYPE_IiioI @ X8 @ X9 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ZFsRWhxLfj/E---3.1_1099248.p',ax_036) ).
thf(ax_076,axiom,
! [X7: $i,X8: $i] :
( ( grandparent_THFTYPE_IiioI @ X7 @ X8 )
<=> ? [X9: $i] :
( ( parent_THFTYPE_IiioI @ X7 @ X9 )
& ( parent_THFTYPE_IiioI @ X9 @ X8 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ZFsRWhxLfj/E---3.1_1099248.p',ax_076) ).
thf(c_0_4,negated_conjecture,
~ ? [X8: $i] :
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [X7: $i] : ( grandchild_THFTYPE_IiioI @ X7 @ lJohn_THFTYPE_i ) )
@ X8 ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_5,negated_conjecture,
~ ? [X8: $i] :
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [Z0: $i] : ( grandchild_THFTYPE_IiioI @ Z0 @ lJohn_THFTYPE_i ) )
@ X8 ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
! [X76: $i] :
~ ( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [Z0: $i] : ( grandchild_THFTYPE_IiioI @ Z0 @ lJohn_THFTYPE_i ) )
@ X76 ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])]) ).
thf(c_0_7,plain,
( ltet_THFTYPE_IiioI
@ ( lCardinalityFn_THFTYPE_IIioIiI
@ ^ [Z0: $i] : ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ Z0 ) )
@ n3_THFTYPE_i ),
inference(fof_simplification,[status(thm)],[ax_012]) ).
thf(c_0_8,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_6]) ).
thf(c_0_9,plain,
ltet_THFTYPE_IiioI @ ( lCardinalityFn_THFTYPE_IIioIiI @ ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i ) ) @ n3_THFTYPE_i,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_10,plain,
( ( ^ [Z0: $i] : ( grandchild_THFTYPE_IiioI @ Z0 @ lJohn_THFTYPE_i ) )
!= ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i ) ),
inference(er,[status(thm)],[inference(ext_sup,[status(thm)],[c_0_8,c_0_9])]) ).
thf(c_0_11,plain,
! [X77: $i,X78: $i,X80: $i,X81: $i,X82: $i] :
( ( ( parent_THFTYPE_IiioI @ ( esk1_2 @ X77 @ X78 ) @ X77 )
| ~ ( grandchild_THFTYPE_IiioI @ X77 @ X78 ) )
& ( ( parent_THFTYPE_IiioI @ X78 @ ( esk1_2 @ X77 @ X78 ) )
| ~ ( grandchild_THFTYPE_IiioI @ X77 @ X78 ) )
& ( ~ ( parent_THFTYPE_IiioI @ X82 @ X80 )
| ~ ( parent_THFTYPE_IiioI @ X81 @ X82 )
| ( grandchild_THFTYPE_IiioI @ X80 @ X81 ) ) ),
inference(distribute,[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_036])])])])])]) ).
thf(c_0_12,plain,
( ( grandchild_THFTYPE_IiioI @ esk1_0 @ lJohn_THFTYPE_i )
<~> ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ esk1_0 ) ),
inference(neg_ext,[status(thm)],[c_0_10]) ).
thf(c_0_13,plain,
! [X89: $i,X90: $i,X92: $i,X93: $i,X94: $i] :
( ( ( parent_THFTYPE_IiioI @ X89 @ ( esk3_2 @ X89 @ X90 ) )
| ~ ( grandparent_THFTYPE_IiioI @ X89 @ X90 ) )
& ( ( parent_THFTYPE_IiioI @ ( esk3_2 @ X89 @ X90 ) @ X90 )
| ~ ( grandparent_THFTYPE_IiioI @ X89 @ X90 ) )
& ( ~ ( parent_THFTYPE_IiioI @ X92 @ X94 )
| ~ ( parent_THFTYPE_IiioI @ X94 @ X93 )
| ( grandparent_THFTYPE_IiioI @ X92 @ X93 ) ) ),
inference(distribute,[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_076])])])])])]) ).
thf(c_0_14,plain,
! [X1: $i,X2: $i] :
( ( parent_THFTYPE_IiioI @ ( esk1_2 @ X1 @ X2 ) @ X1 )
| ~ ( grandchild_THFTYPE_IiioI @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_15,plain,
( ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ esk1_0 )
| ( grandchild_THFTYPE_IiioI @ esk1_0 @ lJohn_THFTYPE_i ) ),
inference(dynamic_cnf,[status(thm)],[c_0_12]) ).
thf(c_0_16,plain,
! [X1: $i,X2: $i,X3: $i] :
( ( grandparent_THFTYPE_IiioI @ X1 @ X3 )
| ~ ( parent_THFTYPE_IiioI @ X1 @ X2 )
| ~ ( parent_THFTYPE_IiioI @ X2 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_17,plain,
( ( parent_THFTYPE_IiioI @ ( esk1_2 @ esk1_0 @ lJohn_THFTYPE_i ) @ esk1_0 )
| ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
thf(c_0_18,plain,
! [X2: $i,X1: $i] :
( ( parent_THFTYPE_IiioI @ X1 @ ( esk1_2 @ X2 @ X1 ) )
| ~ ( grandchild_THFTYPE_IiioI @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_19,plain,
! [X1: $i] :
( ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ esk1_0 )
| ( grandparent_THFTYPE_IiioI @ X1 @ esk1_0 )
| ~ ( parent_THFTYPE_IiioI @ X1 @ ( esk1_2 @ esk1_0 @ lJohn_THFTYPE_i ) ) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
thf(c_0_20,plain,
( ( parent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ ( esk1_2 @ esk1_0 @ lJohn_THFTYPE_i ) )
| ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ esk1_0 ) ),
inference(spm,[status(thm)],[c_0_18,c_0_15]) ).
thf(c_0_21,plain,
! [X1: $i,X2: $i] :
( ( parent_THFTYPE_IiioI @ X1 @ ( esk3_2 @ X1 @ X2 ) )
| ~ ( grandparent_THFTYPE_IiioI @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_22,plain,
grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ esk1_0,
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
thf(c_0_23,plain,
! [X3: $i,X2: $i,X1: $i] :
( ( grandchild_THFTYPE_IiioI @ X2 @ X3 )
| ~ ( parent_THFTYPE_IiioI @ X1 @ X2 )
| ~ ( parent_THFTYPE_IiioI @ X3 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_24,plain,
parent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ ( esk3_2 @ lJohn_THFTYPE_i @ esk1_0 ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
thf(c_0_25,plain,
! [X1: $i,X2: $i] :
( ( parent_THFTYPE_IiioI @ ( esk3_2 @ X1 @ X2 ) @ X2 )
| ~ ( grandparent_THFTYPE_IiioI @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_26,plain,
( ~ ( grandchild_THFTYPE_IiioI @ esk1_0 @ lJohn_THFTYPE_i )
| ~ ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ esk1_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_12]) ).
thf(c_0_27,plain,
! [X1: $i] :
( ( grandchild_THFTYPE_IiioI @ X1 @ lJohn_THFTYPE_i )
| ~ ( parent_THFTYPE_IiioI @ ( esk3_2 @ lJohn_THFTYPE_i @ esk1_0 ) @ X1 ) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
thf(c_0_28,plain,
parent_THFTYPE_IiioI @ ( esk3_2 @ lJohn_THFTYPE_i @ esk1_0 ) @ esk1_0,
inference(spm,[status(thm)],[c_0_25,c_0_22]) ).
thf(c_0_29,plain,
~ ( grandchild_THFTYPE_IiioI @ esk1_0 @ lJohn_THFTYPE_i ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_22])]) ).
thf(c_0_30,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR150^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n006.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Sep 29 17:57:24 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.28 Running higher-order theorem proving
% 0.24/0.32 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.ZFsRWhxLfj/E---3.1_1099248.p
% 0.24/0.37 % Version: 3.5.1-ho
% 0.24/0.37 % Preprocessing class: HSLMSMSMSSMCHSA.
% 0.24/0.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.37 % Starting new_ho_10 with 1500s (5) cores
% 0.24/0.37 % Starting sh5l with 300s (1) cores
% 0.24/0.37 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.37 % Starting new_bool_2 with 300s (1) cores
% 0.24/0.37 % new_bool_2 with pid 1099264 completed with status 0
% 0.24/0.37 % Result found by new_bool_2
% 0.24/0.37 % Preprocessing class: HSLMSMSMSSMCHSA.
% 0.24/0.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.37 % Starting new_ho_10 with 1500s (5) cores
% 0.24/0.37 % Starting sh5l with 300s (1) cores
% 0.24/0.37 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.37 % Starting new_bool_2 with 300s (1) cores
% 0.24/0.37 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.37 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.37 % Search class: HGUNF-FFSM21-MHSFFFNN
% 0.24/0.37 % partial match(4): FGUNF-FFMM21-MFFFFFNN
% 0.24/0.37 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.37 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.37 % SubtermCWHack with pid 1099265 completed with status 10
% 0.24/0.37 % Starting new_bool_2 with 31s (1) cores
% 0.24/0.37 % new_bool_2 with pid 1099268 completed with status 0
% 0.24/0.37 % Result found by new_bool_2
% 0.24/0.37 % Preprocessing class: HSLMSMSMSSMCHSA.
% 0.24/0.37 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.24/0.37 % Starting new_ho_10 with 1500s (5) cores
% 0.24/0.37 % Starting sh5l with 300s (1) cores
% 0.24/0.37 % Starting new_bool_1 with 300s (1) cores
% 0.24/0.37 % Starting new_bool_2 with 300s (1) cores
% 0.24/0.37 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.24/0.37 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.24/0.37 % Search class: HGUNF-FFSM21-MHSFFFNN
% 0.24/0.37 % partial match(4): FGUNF-FFMM21-MFFFFFNN
% 0.24/0.37 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.24/0.37 % Starting SubtermCWHack with 28s (1) cores
% 0.24/0.37 % SubtermCWHack with pid 1099265 completed with status 10
% 0.24/0.37 % Starting new_bool_2 with 31s (1) cores
% 0.24/0.37 % Preprocessing time : 0.002 s
% 0.24/0.37 % Presaturation interreduction done
% 0.24/0.37
% 0.24/0.37 % Proof found!
% 0.24/0.37 % SZS status Theorem
% 0.24/0.37 % SZS output start CNFRefutation
% See solution above
% 0.24/0.37 % Parsed axioms : 374
% 0.24/0.37 % Removed by relevancy pruning/SinE : 352
% 0.24/0.37 % Initial clauses : 30
% 0.24/0.37 % Removed in clause preprocessing : 0
% 0.24/0.37 % Initial clauses in saturation : 30
% 0.24/0.37 % Processed clauses : 81
% 0.24/0.37 % ...of these trivial : 1
% 0.24/0.37 % ...subsumed : 4
% 0.24/0.37 % ...remaining for further processing : 76
% 0.24/0.37 % Other redundant clauses eliminated : 1
% 0.24/0.37 % Clauses deleted for lack of memory : 0
% 0.24/0.37 % Backward-subsumed : 0
% 0.24/0.37 % Backward-rewritten : 13
% 0.24/0.37 % Generated clauses : 37
% 0.24/0.37 % ...of the previous two non-redundant : 35
% 0.24/0.37 % ...aggressively subsumed : 0
% 0.24/0.37 % Contextual simplify-reflections : 0
% 0.24/0.37 % Paramodulations : 32
% 0.24/0.37 % Factorizations : 0
% 0.24/0.37 % NegExts : 1
% 0.24/0.37 % Equation resolutions : 1
% 0.24/0.37 % Disequality decompositions : 0
% 0.24/0.37 % Total rewrite steps : 14
% 0.24/0.37 % ...of those cached : 12
% 0.24/0.37 % Propositional unsat checks : 0
% 0.24/0.37 % Propositional check models : 0
% 0.24/0.37 % Propositional check unsatisfiable : 0
% 0.24/0.37 % Propositional clauses : 0
% 0.24/0.37 % Propositional clauses after purity: 0
% 0.24/0.37 % Propositional unsat core size : 0
% 0.24/0.37 % Propositional preprocessing time : 0.000
% 0.24/0.37 % Propositional encoding time : 0.000
% 0.24/0.37 % Propositional solver time : 0.000
% 0.24/0.37 % Success case prop preproc time : 0.000
% 0.24/0.37 % Success case prop encoding time : 0.000
% 0.24/0.37 % Success case prop solver time : 0.000
% 0.24/0.37 % Current number of processed clauses : 35
% 0.24/0.37 % Positive orientable unit clauses : 19
% 0.24/0.37 % Positive unorientable unit clauses: 0
% 0.24/0.37 % Negative unit clauses : 3
% 0.24/0.37 % Non-unit-clauses : 13
% 0.24/0.37 % Current number of unprocessed clauses: 11
% 0.24/0.37 % ...number of literals in the above : 27
% 0.24/0.37 % Current number of archived formulas : 0
% 0.24/0.37 % Current number of archived clauses : 41
% 0.24/0.37 % Clause-clause subsumption calls (NU) : 81
% 0.24/0.37 % Rec. Clause-clause subsumption calls : 61
% 0.24/0.37 % Non-unit clause-clause subsumptions : 4
% 0.24/0.37 % Unit Clause-clause subsumption calls : 0
% 0.24/0.37 % Rewrite failures with RHS unbound : 0
% 0.24/0.37 % BW rewrite match attempts : 1
% 0.24/0.37 % BW rewrite match successes : 1
% 0.24/0.37 % Condensation attempts : 0
% 0.24/0.37 % Condensation successes : 0
% 0.24/0.37 % Termbank termtop insertions : 4381
% 0.24/0.37 % Search garbage collected termcells : 1182
% 0.24/0.37
% 0.24/0.37 % -------------------------------------------------
% 0.24/0.37 % User time : 0.017 s
% 0.24/0.37 % System time : 0.005 s
% 0.24/0.37 % Total time : 0.022 s
% 0.24/0.37 % Maximum resident set size: 4168 pages
% 0.24/0.37
% 0.24/0.37 % -------------------------------------------------
% 0.24/0.37 % User time : 0.023 s
% 0.24/0.37 % System time : 0.010 s
% 0.24/0.37 % Total time : 0.034 s
% 0.24/0.37 % Maximum resident set size: 5120 pages
% 0.24/0.37 % E exiting
%------------------------------------------------------------------------------