%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR136^1 : 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 : 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 07:46:37 AM UTC 2026
% Result : Theorem 0.11s 0.24s
% Output : CNFRefutation 0.11s
% 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 : 10 ( 0 equ; 0 cnn)
% Maximal formula atoms : 1 ( 0 avg)
% Number of connectives : 61 ( 11 ~; 4 |; 4 &; 42 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 0 ^; 12 !; 2 ?; 14 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_25,type,
lBill_THFTYPE_i: $i ).
thf(decl_27,type,
lMary_THFTYPE_i: $i ).
thf(decl_28,type,
lSue_THFTYPE_i: $i ).
thf(decl_29,type,
likes_THFTYPE_IiioI: $i > $i > $o ).
thf(con,conjecture,
? [X1: $i > $i > $o] :
( ( X1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( X1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [X2: $i,X3: $i] : ( X1 @ X2 @ X3 ) ),
file('/export/starexec/sandbox2/tmp/tmp.w2XkkIVgnG/E---3.1_1093138.p',con) ).
thf(ax_001,axiom,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
file('/export/starexec/sandbox2/tmp/tmp.w2XkkIVgnG/E---3.1_1093138.p',ax_001) ).
thf(ax_002,axiom,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/tmp/tmp.w2XkkIVgnG/E---3.1_1093138.p',ax_002) ).
thf(ax,axiom,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
file('/export/starexec/sandbox2/tmp/tmp.w2XkkIVgnG/E---3.1_1093138.p',ax) ).
thf(c_0_4,negated_conjecture,
~ ? [X1: $i > $i > $o] :
( ( X1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
& ( X1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
& ~ ! [X2: $i,X3: $i] : ( X1 @ X2 @ X3 ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_5,plain,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
inference(fof_simplification,[status(thm)],[ax_001]) ).
thf(c_0_6,negated_conjecture,
! [X7: $i > $i > $o,X8: $i,X9: $i] :
( ~ ( X7 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( X7 @ lMary_THFTYPE_i @ lBill_THFTYPE_i )
| ( X7 @ X8 @ X9 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).
thf(c_0_7,plain,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
! [X3: $i,X2: $i,X1: $i > $i > $o] :
( ( X1 @ X2 @ X3 )
| ~ ( X1 @ lSue_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( X1 @ lMary_THFTYPE_i @ lBill_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_9,plain,
likes_THFTYPE_IiioI @ lMary_THFTYPE_i @ lBill_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax_002]) ).
thf(c_0_10,plain,
likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lBill_THFTYPE_i,
inference(split_conjunct,[status(thm)],[ax]) ).
thf(c_0_11,plain,
~ ( likes_THFTYPE_IiioI @ lSue_THFTYPE_i @ lMary_THFTYPE_i ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_12,negated_conjecture,
! [X2: $i,X3: $i] : ( likes_THFTYPE_IiioI @ X2 @ X3 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).
thf(c_0_13,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CSR136^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.17 % Computer : n006.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Tue Sep 29 17:55:39 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.20 Running higher-order theorem proving
% 0.11/0.22 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.w2XkkIVgnG/E---3.1_1093138.p
% 0.11/0.23 % Version: 3.5.1-ho
% 0.11/0.23 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.11/0.23 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.23 % Starting post_as_ho12 with 300s (1) cores
% 0.11/0.23 % Starting new_bool_9 with 300s (1) cores
% 0.11/0.23 % Starting post_as_ho1 with 300s (1) cores
% 0.11/0.23 % Starting post_as_ho4 with 300s (1) cores
% 0.11/0.23 % Starting post_as_ho2 with 300s (1) cores
% 0.11/0.23 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.11/0.23 % Starting full_lambda_10 with 300s (1) cores
% 0.11/0.23 % Starting new_ho_8 with 300s (1) cores
% 0.11/0.23 % new_bool_9 with pid 1093166 completed with status 0
% 0.11/0.23 % Result found by new_bool_9
% 0.11/0.23 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.11/0.23 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.23 % Starting post_as_ho12 with 300s (1) cores
% 0.11/0.23 % Starting new_bool_9 with 300s (1) cores
% 0.11/0.23 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 0.11/0.23 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.11/0.23 % Search class: HHUNF-FFSF00-SSSFFSBN
% 0.11/0.23 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.24 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.24 % SubtermCWHack with pid 1093172 completed with status 0
% 0.11/0.24 % Result found by SubtermCWHack
% 0.11/0.24 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.11/0.24 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.11/0.24 % Starting post_as_ho12 with 300s (1) cores
% 0.11/0.24 % Starting new_bool_9 with 300s (1) cores
% 0.11/0.24 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 0.11/0.24 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.11/0.24 % Search class: HHUNF-FFSF00-SSSFFSBN
% 0.11/0.24 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.24 % Starting SubtermCWHack with 28s (1) cores
% 0.11/0.24 % Preprocessing time : 0.001 s
% 0.11/0.24
% 0.11/0.24 % Proof found!
% 0.11/0.24 % SZS status Theorem
% 0.11/0.24 % SZS output start CNFRefutation
% See solution above
% 0.11/0.24 % Parsed axioms : 18
% 0.11/0.24 % Removed by relevancy pruning/SinE : 14
% 0.11/0.24 % Initial clauses : 4
% 0.11/0.24 % Removed in clause preprocessing : 0
% 0.11/0.24 % Initial clauses in saturation : 4
% 0.11/0.24 % Processed clauses : 5
% 0.11/0.24 % ...of these trivial : 0
% 0.11/0.24 % ...subsumed : 0
% 0.11/0.24 % ...remaining for further processing : 5
% 0.11/0.24 % Other redundant clauses eliminated : 0
% 0.11/0.24 % Clauses deleted for lack of memory : 0
% 0.11/0.24 % Backward-subsumed : 0
% 0.11/0.24 % Backward-rewritten : 3
% 0.11/0.24 % Generated clauses : 2
% 0.11/0.24 % ...of the previous two non-redundant : 1
% 0.11/0.24 % ...aggressively subsumed : 0
% 0.11/0.24 % Contextual simplify-reflections : 0
% 0.11/0.24 % Paramodulations : 2
% 0.11/0.24 % Factorizations : 0
% 0.11/0.24 % NegExts : 0
% 0.11/0.24 % Equation resolutions : 0
% 0.11/0.24 % Disequality decompositions : 0
% 0.11/0.24 % Total rewrite steps : 4
% 0.11/0.24 % ...of those cached : 0
% 0.11/0.24 % Propositional unsat checks : 0
% 0.11/0.24 % Propositional check models : 0
% 0.11/0.24 % Propositional check unsatisfiable : 0
% 0.11/0.24 % Propositional clauses : 0
% 0.11/0.24 % Propositional clauses after purity: 0
% 0.11/0.24 % Propositional unsat core size : 0
% 0.11/0.24 % Propositional preprocessing time : 0.000
% 0.11/0.24 % Propositional encoding time : 0.000
% 0.11/0.24 % Propositional solver time : 0.000
% 0.11/0.24 % Success case prop preproc time : 0.000
% 0.11/0.24 % Success case prop encoding time : 0.000
% 0.11/0.24 % Success case prop solver time : 0.000
% 0.11/0.24 % Current number of processed clauses : 2
% 0.11/0.24 % Positive orientable unit clauses : 1
% 0.11/0.24 % Positive unorientable unit clauses: 0
% 0.11/0.24 % Negative unit clauses : 0
% 0.11/0.24 % Non-unit-clauses : 1
% 0.11/0.24 % Current number of unprocessed clauses: 0
% 0.11/0.24 % ...number of literals in the above : 0
% 0.11/0.24 % Current number of archived formulas : 0
% 0.11/0.24 % Current number of archived clauses : 3
% 0.11/0.24 % Clause-clause subsumption calls (NU) : 0
% 0.11/0.24 % Rec. Clause-clause subsumption calls : 0
% 0.11/0.24 % Non-unit clause-clause subsumptions : 0
% 0.11/0.24 % Unit Clause-clause subsumption calls : 0
% 0.11/0.24 % Rewrite failures with RHS unbound : 0
% 0.11/0.24 % BW rewrite match attempts : 3
% 0.11/0.24 % BW rewrite match successes : 3
% 0.11/0.24 % Condensation attempts : 0
% 0.11/0.24 % Condensation successes : 0
% 0.11/0.24 % Termbank termtop insertions : 349
% 0.11/0.24 % Search garbage collected termcells : 61
% 0.11/0.24
% 0.11/0.24 % -------------------------------------------------
% 0.11/0.24 % User time : 0.001 s
% 0.11/0.24 % System time : 0.001 s
% 0.11/0.24 % Total time : 0.003 s
% 0.11/0.24 % Maximum resident set size: 3836 pages
% 0.11/0.24
% 0.11/0.24 % -------------------------------------------------
% 0.11/0.24 % User time : 0.002 s
% 0.11/0.24 % System time : 0.006 s
% 0.11/0.24 % Total time : 0.009 s
% 0.11/0.24 % Maximum resident set size: 4864 pages
% 0.11/0.24 % E exiting
%------------------------------------------------------------------------------