%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR139^1 : 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 : n001.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 0.09s 0.26s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 3
% Syntax : Number of formulae : 15 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 18 ( 7 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 61 ( 14 ~; 5 |; 6 &; 36 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 6 con; 0-2 aty)
% Number of variables : 20 ( 2 ^; 9 !; 9 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
lAnna_THFTYPE_i: $i ).
thf(decl_25,type,
lBill_THFTYPE_i: $i ).
thf(decl_26,type,
lBob_THFTYPE_i: $i ).
thf(decl_28,type,
lSue_THFTYPE_i: $i ).
thf(decl_30,type,
parent_THFTYPE_IiioI: $i > $i > $o ).
thf(con,conjecture,
? [X1: $i > $i > $o,X2: $i > $i > $o,X3: $i] :
( ( X2 @ X3 @ lBill_THFTYPE_i )
& ( X1 @ X3 @ lAnna_THFTYPE_i )
& ( X2 != X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.26R4xg17bH/E---3.1_1608586.p',con) ).
thf(ax_007,axiom,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
file('/export/starexec/sandbox2/tmp/tmp.26R4xg17bH/E---3.1_1608586.p',ax_007) ).
thf(ax_009,axiom,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
file('/export/starexec/sandbox2/tmp/tmp.26R4xg17bH/E---3.1_1608586.p',ax_009) ).
thf(c_0_3,negated_conjecture,
~ ? [X1: $i > $i > $o,X2: $i > $i > $o,X3: $i] :
( ( X2 @ X3 @ lBill_THFTYPE_i )
& ( X1 @ X3 @ lAnna_THFTYPE_i )
& ( X2 != X1 ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_4,negated_conjecture,
~ ? [X1: $i > $i > $o,X2: $i > $i > $o,X3: $i] :
( ( X2 @ X3 @ lBill_THFTYPE_i )
& ( X1 @ X3 @ lAnna_THFTYPE_i )
& ( X2 != X1 ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X7: $i > $i > $o,X8: $i > $i > $o,X9: $i] :
( ~ ( X8 @ X9 @ lBill_THFTYPE_i )
| ~ ( X7 @ X9 @ lAnna_THFTYPE_i )
| ( X8 = X7 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])]) ).
thf(c_0_6,negated_conjecture,
! [X1: $i > $i > $o,X2: $i > $i > $o,X3: $i] :
( ( X1 = X2 )
| ~ ( X1 @ X3 @ lBill_THFTYPE_i )
| ~ ( X2 @ X3 @ lAnna_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_7,plain,
parent_THFTYPE_IiioI @ lSue_THFTYPE_i @ lAnna_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax_007]) ).
thf(c_0_8,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(fof_simplification,[status(thm)],[ax_009]) ).
thf(c_0_9,negated_conjecture,
! [X1: $i > $i > $o] :
( ( X1 = parent_THFTYPE_IiioI )
| ~ ( X1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_10,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(fof_nnf,[status(thm)],[c_0_8]) ).
thf(c_0_11,negated_conjecture,
( ( ^ [Z0: $i,Z1: $i] : $true )
= parent_THFTYPE_IiioI ),
inference(er,[status(thm)],[c_0_9]) ).
thf(c_0_12,plain,
~ ( parent_THFTYPE_IiioI @ lBob_THFTYPE_i @ lAnna_THFTYPE_i ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_13,negated_conjecture,
! [X3: $i,X6: $i] : ( parent_THFTYPE_IiioI @ X3 @ X6 ),
inference(arg_cong,[status(thm)],[c_0_11]) ).
thf(c_0_14,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12,c_0_13])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR139^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n001.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Tue Sep 29 18:02:06 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.23 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.26R4xg17bH/E---3.1_1608586.p
% 0.09/0.26 % Version: 3.5.1-ho
% 0.09/0.26 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.09/0.26 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.26 % Starting post_as_ho12 with 300s (1) cores
% 0.09/0.26 % Starting new_bool_9 with 300s (1) cores
% 0.09/0.26 % Starting post_as_ho1 with 300s (1) cores
% 0.09/0.26 % Starting post_as_ho4 with 300s (1) cores
% 0.09/0.26 % Starting post_as_ho2 with 300s (1) cores
% 0.09/0.26 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.09/0.26 % Starting full_lambda_10 with 300s (1) cores
% 0.09/0.26 % Starting new_ho_8 with 300s (1) cores
% 0.09/0.26 % post_as_ho4 with pid 1608616 completed with status 0
% 0.09/0.26 % Result found by post_as_ho4
% 0.09/0.26 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.09/0.26 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.26 % Starting post_as_ho12 with 300s (1) cores
% 0.09/0.26 % Starting new_bool_9 with 300s (1) cores
% 0.09/0.26 % Starting post_as_ho1 with 300s (1) cores
% 0.09/0.26 % Starting post_as_ho4 with 300s (1) cores
% 0.09/0.26 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.26 % No SInE strategy applied
% 0.09/0.26 % Search class: HHUSF-FFSM00-SSSFFFBN
% 0.09/0.26 % partial match(1): HHUNF-FFSM00-SSSFFFBN
% 0.09/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.26 % SubtermCWHack with pid 1608622 completed with status 10
% 0.09/0.26 % Starting post_as_ho4 with 31s (1) cores
% 0.09/0.26 % post_as_ho4 with pid 1608633 completed with status 0
% 0.09/0.26 % Result found by post_as_ho4
% 0.09/0.26 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.09/0.26 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.09/0.26 % Starting post_as_ho12 with 300s (1) cores
% 0.09/0.26 % Starting new_bool_9 with 300s (1) cores
% 0.09/0.26 % Starting post_as_ho1 with 300s (1) cores
% 0.09/0.26 % Starting post_as_ho4 with 300s (1) cores
% 0.09/0.26 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.09/0.26 % No SInE strategy applied
% 0.09/0.26 % Search class: HHUSF-FFSM00-SSSFFFBN
% 0.09/0.26 % partial match(1): HHUNF-FFSM00-SSSFFFBN
% 0.09/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.09/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.09/0.26 % SubtermCWHack with pid 1608622 completed with status 10
% 0.09/0.26 % Starting post_as_ho4 with 31s (1) cores
% 0.09/0.26 % Preprocessing time : 0.001 s
% 0.09/0.26 % Presaturation interreduction done
% 0.09/0.26
% 0.09/0.26 % Proof found!
% 0.09/0.26 % SZS status Theorem
% 0.09/0.26 % SZS output start CNFRefutation
% See solution above
% 0.09/0.26 % Parsed axioms : 20
% 0.09/0.26 % Removed by relevancy pruning/SinE : 0
% 0.09/0.26 % Initial clauses : 20
% 0.09/0.26 % Removed in clause preprocessing : 9
% 0.09/0.26 % Initial clauses in saturation : 11
% 0.09/0.26 % Processed clauses : 32
% 0.09/0.26 % ...of these trivial : 0
% 0.09/0.26 % ...subsumed : 2
% 0.09/0.26 % ...remaining for further processing : 30
% 0.09/0.26 % Other redundant clauses eliminated : 0
% 0.09/0.26 % Clauses deleted for lack of memory : 0
% 0.09/0.26 % Backward-subsumed : 0
% 0.09/0.26 % Backward-rewritten : 6
% 0.09/0.26 % Generated clauses : 100
% 0.09/0.26 % ...of the previous two non-redundant : 92
% 0.09/0.26 % ...aggressively subsumed : 0
% 0.09/0.26 % Contextual simplify-reflections : 0
% 0.09/0.26 % Paramodulations : 70
% 0.09/0.26 % Factorizations : 0
% 0.09/0.26 % NegExts : 0
% 0.09/0.26 % Equation resolutions : 3
% 0.09/0.26 % Disequality decompositions : 0
% 0.09/0.26 % Total rewrite steps : 3
% 0.09/0.26 % ...of those cached : 0
% 0.09/0.26 % Propositional unsat checks : 0
% 0.09/0.26 % Propositional check models : 0
% 0.09/0.26 % Propositional check unsatisfiable : 0
% 0.09/0.26 % Propositional clauses : 0
% 0.09/0.26 % Propositional clauses after purity: 0
% 0.09/0.26 % Propositional unsat core size : 0
% 0.09/0.26 % Propositional preprocessing time : 0.000
% 0.09/0.26 % Propositional encoding time : 0.000
% 0.09/0.26 % Propositional solver time : 0.000
% 0.09/0.26 % Success case prop preproc time : 0.000
% 0.09/0.26 % Success case prop encoding time : 0.000
% 0.09/0.26 % Success case prop solver time : 0.000
% 0.09/0.26 % Current number of processed clauses : 13
% 0.09/0.26 % Positive orientable unit clauses : 8
% 0.09/0.26 % Positive unorientable unit clauses: 1
% 0.09/0.26 % Negative unit clauses : 1
% 0.09/0.26 % Non-unit-clauses : 3
% 0.09/0.26 % Current number of unprocessed clauses: 82
% 0.09/0.26 % ...number of literals in the above : 153
% 0.09/0.26 % Current number of archived formulas : 0
% 0.09/0.26 % Current number of archived clauses : 17
% 0.09/0.26 % Clause-clause subsumption calls (NU) : 2
% 0.09/0.26 % Rec. Clause-clause subsumption calls : 1
% 0.09/0.26 % Non-unit clause-clause subsumptions : 0
% 0.09/0.26 % Unit Clause-clause subsumption calls : 2
% 0.09/0.26 % Rewrite failures with RHS unbound : 0
% 0.09/0.26 % BW rewrite match attempts : 12
% 0.09/0.26 % BW rewrite match successes : 7
% 0.09/0.26 % Condensation attempts : 32
% 0.09/0.26 % Condensation successes : 0
% 0.09/0.26 % Termbank termtop insertions : 2852
% 0.09/0.26 % Search garbage collected termcells : 54
% 0.09/0.26
% 0.09/0.26 % -------------------------------------------------
% 0.09/0.26 % User time : 0.008 s
% 0.09/0.26 % System time : 0.002 s
% 0.09/0.26 % Total time : 0.010 s
% 0.09/0.26 % Maximum resident set size: 3636 pages
% 0.09/0.26
% 0.09/0.26 % -------------------------------------------------
% 0.09/0.26 % User time : 0.010 s
% 0.09/0.26 % System time : 0.007 s
% 0.09/0.26 % Total time : 0.016 s
% 0.09/0.26 % Maximum resident set size: 4864 pages
% 0.09/0.26 % E exiting
%------------------------------------------------------------------------------