%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR139^2 : 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 : 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 07:46:38 AM UTC 2026
% Result : Theorem 0.11s 0.27s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 21 unt; 0 typ; 0 def)
% Number of atoms : 30 ( 10 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 119 ( 23 ~; 14 |; 6 &; 74 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 32 ( 32 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 36 ( 0 ^; 27 !; 9 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_31,type,
lAnna_THFTYPE_i: $i ).
thf(decl_34,type,
lBill_THFTYPE_i: $i ).
thf(decl_36,type,
lBob_THFTYPE_i: $i ).
thf(decl_39,type,
lSue_THFTYPE_i: $i ).
thf(decl_40,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(decl_43,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(con,conjecture,
? [X24: $i > $i > $o,X25: $i > $i > $o,X2: $i] :
( ( X25 @ X2 @ lBill_THFTYPE_i )
& ( X24 @ X2 @ lAnna_THFTYPE_i )
& ( X25 != X24 ) ),
file('/export/starexec/sandbox2/tmp/tmp.jcxfovEkWe/E---3.1_2845689.p',con) ).
thf(ax_012,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox2/tmp/tmp.jcxfovEkWe/E---3.1_2845689.p',ax_012) ).
thf(ax,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/tmp/tmp.jcxfovEkWe/E---3.1_2845689.p',ax) ).
thf(ax_025,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox2/tmp/tmp.jcxfovEkWe/E---3.1_2845689.p',ax_025) ).
thf(ax_021,axiom,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/tmp/tmp.jcxfovEkWe/E---3.1_2845689.p',ax_021) ).
thf(c_0_5,negated_conjecture,
~ ? [X24: $i > $i > $o,X25: $i > $i > $o,X2: $i] :
( ( X25 @ X2 @ lBill_THFTYPE_i )
& ( X24 @ X2 @ lAnna_THFTYPE_i )
& ( X25 != X24 ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_6,negated_conjecture,
~ ? [X24: $i > $i > $o,X25: $i > $i > $o,X2: $i] :
( ( X25 @ X2 @ lBill_THFTYPE_i )
& ( X24 @ X2 @ lAnna_THFTYPE_i )
& ( X25 != X24 ) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
thf(c_0_7,negated_conjecture,
! [X95: $i > $i > $o,X96: $i > $i > $o,X97: $i] :
( ~ ( X96 @ X97 @ lBill_THFTYPE_i )
| ~ ( X95 @ X97 @ lAnna_THFTYPE_i )
| ( X96 = X95 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])]) ).
thf(c_0_8,negated_conjecture,
! [X25: $i > $i > $o,X24: $i > $i > $o,X1: $i] :
( ( X24 = X25 )
| ~ ( X24 @ X1 @ lBill_THFTYPE_i )
| ~ ( X25 @ X1 @ lAnna_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_9,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax_012]) ).
thf(c_0_10,negated_conjecture,
! [X99: $i,X98: $i,X25: $i > $i > $o,X24: $i > $i > $o,X1: $i] :
( ( ( X24 @ X98 @ X99 )
<=> ( X25 @ X98 @ X99 ) )
| ~ ( X25 @ X1 @ lAnna_THFTYPE_i )
| ~ ( X24 @ X1 @ lBill_THFTYPE_i ) ),
inference(arg_cong,[status(thm)],[c_0_8]) ).
thf(c_0_11,negated_conjecture,
! [X24: $i > $i > $o] :
( ( X24 = parent_THFTYPE_IiioI )
| ~ ( X24 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_12,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax]) ).
thf(c_0_13,negated_conjecture,
! [X1: $i,X3: $i,X25: $i > $i > $o,X24: $i > $i > $o,X2: $i] :
( ( X24 @ X1 @ X2 )
| ~ ( X25 @ X3 @ lAnna_THFTYPE_i )
| ~ ( X24 @ X3 @ lBill_THFTYPE_i )
| ~ ( X25 @ X1 @ X2 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_10]) ).
thf(c_0_14,negated_conjecture,
likes_THFTYPE_IiioI = parent_THFTYPE_IiioI,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
thf(c_0_15,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(fof_simplification,[status(thm)],[ax_025]) ).
thf(c_0_16,negated_conjecture,
! [X24: $i > $i > $o,X3: $i,X2: $i,X1: $i] :
( ( lBill_THFTYPE_i = X1 )
| ~ ( X24 @ X2 @ lAnna_THFTYPE_i )
| ~ ( X24 @ X3 @ X1 ) ),
inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_13]) ).
thf(c_0_17,negated_conjecture,
! [X102: $i,X103: $i] :
( ( likes_THFTYPE_IiioI @ X102 @ X103 )
<=> ( parent_THFTYPE_IiioI @ X102 @ X103 ) ),
inference(arg_cong,[status(thm)],[c_0_14]) ).
thf(c_0_18,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(fof_nnf,[status(thm)],[c_0_15]) ).
thf(c_0_19,negated_conjecture,
! [X2: $i,X1: $i] :
( ( lBill_THFTYPE_i = X1 )
| ~ ( parent_THFTYPE_IiioI @ X2 @ X1 ) ),
inference(spm,[status(thm)],[c_0_16,c_0_9]) ).
thf(c_0_20,negated_conjecture,
! [X1: $i,X2: $i] :
( ( parent_THFTYPE_IiioI @ X1 @ X2 )
| ~ ( likes_THFTYPE_IiioI @ X1 @ X2 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_17]) ).
thf(c_0_21,plain,
likes_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax_021]) ).
thf(c_0_22,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_23,negated_conjecture,
lAnna_THFTYPE_i = lBill_THFTYPE_i,
inference(spm,[status(thm)],[c_0_19,c_0_9]) ).
thf(c_0_24,negated_conjecture,
parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lBill_THFTYPE_i,
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
thf(c_0_25,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_24])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR139^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n003.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Tue Sep 29 17:58:14 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.23 Running higher-order theorem proving
% 0.11/0.25 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.jcxfovEkWe/E---3.1_2845689.p
% 0.11/0.27 % Version: 3.5.1-ho
% 0.11/0.27 % Preprocessing class: HSMSSMSMSSSNSSA.
% 0.11/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.27 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.11/0.27 % Starting ehoh_best_sine_rwall with 300s (1) cores
% 0.11/0.27 % Starting sh5l with 300s (1) cores
% 0.11/0.27 % Starting new_bool_3 with 300s (1) cores
% 0.11/0.27 % ho_unfolding_3 with pid 2845738 completed with status 0
% 0.11/0.27 % Result found by ho_unfolding_3
% 0.11/0.27 % Preprocessing class: HSMSSMSMSSSNSSA.
% 0.11/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.27 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.11/0.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.27 % No SInE strategy applied
% 0.11/0.27 % Search class: HGHSF-FFMM11-SSSFFFBN
% 0.11/0.27 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.27 % Starting SubtermCWHack with 151s (1) cores
% 0.11/0.27 % Starting ho_unfolding_3 with 901s (1) cores
% 0.11/0.27 % Starting ehoh_best_sine_rwall with 151s (1) cores
% 0.11/0.27 % Starting sh5l with 151s (1) cores
% 0.11/0.27 % Starting new_bool_3 with 146s (1) cores
% 0.11/0.27 % sh5l with pid 2845750 completed with status 0
% 0.11/0.27 % Result found by sh5l
% 0.11/0.27 % Preprocessing class: HSMSSMSMSSSNSSA.
% 0.11/0.27 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.27 % Starting ho_unfolding_3 with 1500s (5) cores
% 0.11/0.27 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.11/0.27 % No SInE strategy applied
% 0.11/0.27 % Search class: HGHSF-FFMM11-SSSFFFBN
% 0.11/0.27 % Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 0.11/0.27 % Starting SubtermCWHack with 151s (1) cores
% 0.11/0.27 % Starting ho_unfolding_3 with 901s (1) cores
% 0.11/0.27 % Starting ehoh_best_sine_rwall with 151s (1) cores
% 0.11/0.27 % Starting sh5l with 151s (1) cores
% 0.11/0.27 % Preprocessing time : 0.001 s
% 0.11/0.27 % Presaturation interreduction done
% 0.11/0.27
% 0.11/0.27 % Proof found!
% 0.11/0.27 % SZS status Theorem
% 0.11/0.27 % SZS output start CNFRefutation
% See solution above
% 0.11/0.27 % Parsed axioms : 71
% 0.11/0.27 % Removed by relevancy pruning/SinE : 0
% 0.11/0.27 % Initial clauses : 76
% 0.11/0.27 % Removed in clause preprocessing : 31
% 0.11/0.27 % Initial clauses in saturation : 45
% 0.11/0.27 % Processed clauses : 124
% 0.11/0.27 % ...of these trivial : 7
% 0.11/0.27 % ...subsumed : 24
% 0.11/0.27 % ...remaining for further processing : 93
% 0.11/0.27 % Other redundant clauses eliminated : 0
% 0.11/0.27 % Clauses deleted for lack of memory : 0
% 0.11/0.27 % Backward-subsumed : 0
% 0.11/0.27 % Backward-rewritten : 7
% 0.11/0.27 % Generated clauses : 74
% 0.11/0.27 % ...of the previous two non-redundant : 65
% 0.11/0.27 % ...aggressively subsumed : 0
% 0.11/0.27 % Contextual simplify-reflections : 0
% 0.11/0.27 % Paramodulations : 42
% 0.11/0.27 % Factorizations : 0
% 0.11/0.27 % NegExts : 0
% 0.11/0.27 % Equation resolutions : 0
% 0.11/0.27 % Disequality decompositions : 0
% 0.11/0.27 % Total rewrite steps : 31
% 0.11/0.27 % ...of those cached : 18
% 0.11/0.27 % Propositional unsat checks : 0
% 0.11/0.27 % Propositional check models : 0
% 0.11/0.27 % Propositional check unsatisfiable : 0
% 0.11/0.27 % Propositional clauses : 0
% 0.11/0.27 % Propositional clauses after purity: 0
% 0.11/0.27 % Propositional unsat core size : 0
% 0.11/0.27 % Propositional preprocessing time : 0.000
% 0.11/0.27 % Propositional encoding time : 0.000
% 0.11/0.27 % Propositional solver time : 0.000
% 0.11/0.27 % Success case prop preproc time : 0.000
% 0.11/0.27 % Success case prop encoding time : 0.000
% 0.11/0.27 % Success case prop solver time : 0.000
% 0.11/0.27 % Current number of processed clauses : 47
% 0.11/0.27 % Positive orientable unit clauses : 24
% 0.11/0.27 % Positive unorientable unit clauses: 0
% 0.11/0.27 % Negative unit clauses : 3
% 0.11/0.27 % Non-unit-clauses : 20
% 0.11/0.27 % Current number of unprocessed clauses: 15
% 0.11/0.27 % ...number of literals in the above : 38
% 0.11/0.27 % Current number of archived formulas : 0
% 0.11/0.27 % Current number of archived clauses : 46
% 0.11/0.27 % Clause-clause subsumption calls (NU) : 286
% 0.11/0.27 % Rec. Clause-clause subsumption calls : 239
% 0.11/0.27 % Non-unit clause-clause subsumptions : 22
% 0.11/0.27 % Unit Clause-clause subsumption calls : 23
% 0.11/0.27 % Rewrite failures with RHS unbound : 0
% 0.11/0.27 % BW rewrite match attempts : 2
% 0.11/0.27 % BW rewrite match successes : 1
% 0.11/0.27 % Condensation attempts : 124
% 0.11/0.27 % Condensation successes : 1
% 0.11/0.27 % Termbank termtop insertions : 5909
% 0.11/0.27 % Search garbage collected termcells : 497
% 0.11/0.27
% 0.11/0.27 % -------------------------------------------------
% 0.11/0.27 % User time : 0.009 s
% 0.11/0.27 % System time : 0.003 s
% 0.11/0.27 % Total time : 0.012 s
% 0.11/0.27 % Maximum resident set size: 3692 pages
% 0.11/0.27
% 0.11/0.27 % -------------------------------------------------
% 0.11/0.27 % User time : 0.031 s
% 0.11/0.27 % System time : 0.012 s
% 0.11/0.27 % Total time : 0.043 s
% 0.11/0.27 % Maximum resident set size: 4864 pages
% 0.11/0.27 % E exiting
%------------------------------------------------------------------------------