%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : CSR153^2 : 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 : 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 07:46:42 AM UTC 2026
% Result : Theorem 0.21s 0.28s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 14 ( 6 unt; 0 typ; 0 def)
% Number of atoms : 14 ( 13 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 54 ( 18 ~; 5 |; 7 &; 24 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 13 ( 0 ^; 11 !; 2 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_44,type,
lBill_THFTYPE_i: $i ).
thf(decl_46,type,
lBob_THFTYPE_i: $i ).
thf(decl_59,type,
lSue_THFTYPE_i: $i ).
thf(con,conjecture,
? [X52: $i > $i > $o] :
( ( X52 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
& ( X52 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ~ ! [X1: $i,X2: $i] : ( X52 @ X1 @ X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.z5keyzXbXS/E---3.1_1615755.p',con) ).
thf(ax_020,axiom,
( ( lSue_THFTYPE_i != lBill_THFTYPE_i )
& ( lSue_THFTYPE_i != lBob_THFTYPE_i ) ),
file('/export/starexec/sandbox2/tmp/tmp.z5keyzXbXS/E---3.1_1615755.p',ax_020) ).
thf(ax_001,axiom,
lBob_THFTYPE_i != lBill_THFTYPE_i,
file('/export/starexec/sandbox2/tmp/tmp.z5keyzXbXS/E---3.1_1615755.p',ax_001) ).
thf(c_0_3,negated_conjecture,
~ ? [X52: $i > $i > $o] :
( ( X52 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
& ( X52 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
& ~ ! [X1: $i,X2: $i] : ( X52 @ X1 @ X2 ) ),
inference(assume_negation,[status(cth)],[con]) ).
thf(c_0_4,plain,
( ( lSue_THFTYPE_i != lBill_THFTYPE_i )
& ( lSue_THFTYPE_i != lBob_THFTYPE_i ) ),
inference(fof_simplification,[status(thm)],[ax_020]) ).
thf(c_0_5,negated_conjecture,
! [X62: $i > $i > $o,X63: $i,X64: $i] :
( ~ ( X62 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( X62 @ lSue_THFTYPE_i @ lBob_THFTYPE_i )
| ( X62 @ X63 @ X64 ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
thf(c_0_6,plain,
lBob_THFTYPE_i != lBill_THFTYPE_i,
inference(fof_simplification,[status(thm)],[ax_001]) ).
thf(c_0_7,plain,
( ( lSue_THFTYPE_i != lBill_THFTYPE_i )
& ( lSue_THFTYPE_i != lBob_THFTYPE_i ) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_8,negated_conjecture,
! [X1: $i,X2: $i,X28: $i > $i > $o] :
( ( X28 @ X1 @ X2 )
| ~ ( X28 @ lBob_THFTYPE_i @ lBill_THFTYPE_i )
| ~ ( X28 @ lSue_THFTYPE_i @ lBob_THFTYPE_i ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
lBob_THFTYPE_i != lBill_THFTYPE_i,
inference(fof_nnf,[status(thm)],[c_0_6]) ).
thf(c_0_10,plain,
lSue_THFTYPE_i != lBill_THFTYPE_i,
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,negated_conjecture,
! [X1: $i] :
( ( lSue_THFTYPE_i = X1 )
| ( lBob_THFTYPE_i = X1 ) ),
inference(eliminate_leibniz_eq,[status(thm)],[inference(cn,[status(thm)],[]),c_0_8]) ).
thf(c_0_12,plain,
lBob_THFTYPE_i != lBill_THFTYPE_i,
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_13,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11])]),c_0_12]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CSR153^2 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.17 % Computer : n001.cluster.edu
% 0.10/0.17 % Model : x86_64 x86_64
% 0.10/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17 % Memory : 8046.5625MB
% 0.10/0.17 % OS : Linux 6.8.0-71-generic
% 0.10/0.17 % CPULimit : 300
% 0.10/0.17 % WCLimit : 300
% 0.10/0.17 % DateTime : Tue Sep 29 18:03:51 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running higher-order theorem proving
% 0.10/0.24 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.z5keyzXbXS/E---3.1_1615755.p
% 0.21/0.28 % Version: 3.5.1-ho
% 0.21/0.28 % Preprocessing class: HSLSSMSMSSSNHSA.
% 0.21/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.28 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.21/0.28 % Starting lpo9_lambda_fix with 300s (1) cores
% 0.21/0.28 % Starting new_bool_1 with 300s (1) cores
% 0.21/0.28 % new_bool_1 with pid 1615794 completed with status 0
% 0.21/0.28 % Result found by new_bool_1
% 0.21/0.28 % Preprocessing class: HSLSSMSMSSSNHSA.
% 0.21/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.28 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.21/0.28 % Starting lpo9_lambda_fix with 300s (1) cores
% 0.21/0.28 % Starting new_bool_1 with 300s (1) cores
% 0.21/0.28 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.21/0.28 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.28 % Search class: HGHSF-FFSM11-SHSFFSBN
% 0.21/0.28 % partial match(2): HGHSF-FFSF11-SSSFFSBN
% 0.21/0.28 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.28 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.28 % SubtermCWHack with pid 1615797 completed with status 10
% 0.21/0.28 % Starting new_bool_1 with 31s (1) cores
% 0.21/0.28 % new_bool_1 with pid 1615804 completed with status 0
% 0.21/0.28 % Result found by new_bool_1
% 0.21/0.28 % Preprocessing class: HSLSSMSMSSSNHSA.
% 0.21/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.28 % Starting new_ho_10 with 1500s (5) cores
% 0.21/0.28 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.21/0.28 % Starting lpo9_lambda_fix with 300s (1) cores
% 0.21/0.28 % Starting new_bool_1 with 300s (1) cores
% 0.21/0.28 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.21/0.28 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.28 % Search class: HGHSF-FFSM11-SHSFFSBN
% 0.21/0.28 % partial match(2): HGHSF-FFSF11-SSSFFSBN
% 0.21/0.28 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.28 % Starting SubtermCWHack with 28s (1) cores
% 0.21/0.28 % SubtermCWHack with pid 1615797 completed with status 10
% 0.21/0.28 % Starting new_bool_1 with 31s (1) cores
% 0.21/0.28 % Preprocessing time : 0.001 s
% 0.21/0.28 % Presaturation interreduction done
% 0.21/0.28
% 0.21/0.28 % Proof found!
% 0.21/0.28 % SZS status Theorem
% 0.21/0.28 % SZS output start CNFRefutation
% See solution above
% 0.21/0.28 % Parsed axioms : 194
% 0.21/0.28 % Removed by relevancy pruning/SinE : 175
% 0.21/0.28 % Initial clauses : 29
% 0.21/0.28 % Removed in clause preprocessing : 0
% 0.21/0.28 % Initial clauses in saturation : 29
% 0.21/0.28 % Processed clauses : 82
% 0.21/0.28 % ...of these trivial : 3
% 0.21/0.28 % ...subsumed : 10
% 0.21/0.28 % ...remaining for further processing : 69
% 0.21/0.28 % Other redundant clauses eliminated : 1
% 0.21/0.28 % Clauses deleted for lack of memory : 0
% 0.21/0.28 % Backward-subsumed : 0
% 0.21/0.28 % Backward-rewritten : 0
% 0.21/0.28 % Generated clauses : 101
% 0.21/0.28 % ...of the previous two non-redundant : 85
% 0.21/0.28 % ...aggressively subsumed : 0
% 0.21/0.28 % Contextual simplify-reflections : 0
% 0.21/0.28 % Paramodulations : 36
% 0.21/0.28 % Factorizations : 2
% 0.21/0.28 % NegExts : 18
% 0.21/0.28 % Equation resolutions : 1
% 0.21/0.28 % Disequality decompositions : 0
% 0.21/0.28 % Total rewrite steps : 9
% 0.21/0.28 % ...of those cached : 2
% 0.21/0.28 % Propositional unsat checks : 0
% 0.21/0.28 % Propositional check models : 0
% 0.21/0.28 % Propositional check unsatisfiable : 0
% 0.21/0.28 % Propositional clauses : 0
% 0.21/0.28 % Propositional clauses after purity: 0
% 0.21/0.28 % Propositional unsat core size : 0
% 0.21/0.28 % Propositional preprocessing time : 0.000
% 0.21/0.28 % Propositional encoding time : 0.000
% 0.21/0.28 % Propositional solver time : 0.000
% 0.21/0.28 % Success case prop preproc time : 0.000
% 0.21/0.28 % Success case prop encoding time : 0.000
% 0.21/0.28 % Success case prop solver time : 0.000
% 0.21/0.28 % Current number of processed clauses : 46
% 0.21/0.28 % Positive orientable unit clauses : 13
% 0.21/0.28 % Positive unorientable unit clauses: 0
% 0.21/0.28 % Negative unit clauses : 24
% 0.21/0.28 % Non-unit-clauses : 9
% 0.21/0.28 % Current number of unprocessed clauses: 34
% 0.21/0.28 % ...number of literals in the above : 75
% 0.21/0.28 % Current number of archived formulas : 0
% 0.21/0.28 % Current number of archived clauses : 23
% 0.21/0.28 % Clause-clause subsumption calls (NU) : 30
% 0.21/0.28 % Rec. Clause-clause subsumption calls : 26
% 0.21/0.28 % Non-unit clause-clause subsumptions : 0
% 0.21/0.28 % Unit Clause-clause subsumption calls : 122
% 0.21/0.28 % Rewrite failures with RHS unbound : 0
% 0.21/0.28 % BW rewrite match attempts : 0
% 0.21/0.28 % BW rewrite match successes : 0
% 0.21/0.28 % Condensation attempts : 0
% 0.21/0.28 % Condensation successes : 0
% 0.21/0.28 % Termbank termtop insertions : 4576
% 0.21/0.28 % Search garbage collected termcells : 748
% 0.21/0.28
% 0.21/0.28 % -------------------------------------------------
% 0.21/0.28 % User time : 0.006 s
% 0.21/0.28 % System time : 0.007 s
% 0.21/0.28 % Total time : 0.013 s
% 0.21/0.28 % Maximum resident set size: 3796 pages
% 0.21/0.28
% 0.21/0.28 % -------------------------------------------------
% 0.21/0.28 % User time : 0.009 s
% 0.21/0.28 % System time : 0.012 s
% 0.21/0.28 % Total time : 0.021 s
% 0.21/0.28 % Maximum resident set size: 4864 pages
% 0.21/0.28 % E exiting
%------------------------------------------------------------------------------