%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV061^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 08:34:48 AM UTC 2026
% Result : Theorem 0.11s 0.24s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 18 equ; 0 cnn)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 82 ( 14 ~; 12 |; 10 &; 40 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 8 ( 8 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 22 ( 0 ^; 22 !; 0 ?; 22 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
b: $tType ).
thf(decl_sort2,type,
a: $tType ).
thf(decl_23,type,
esk1_0: b ).
thf(decl_24,type,
esk2_0: a ).
thf(decl_25,type,
epred1_0: b > a > $o ).
thf(decl_26,type,
epred2_0: b > a > $o ).
thf(decl_27,type,
esk3_0: b ).
thf(decl_28,type,
esk4_0: a ).
thf(cTHM176_pme,conjecture,
! [X1: b,X2: a,X3: b > a > $o,X4: b > a > $o] :
( ! [X5: b,X6: a] :
( ( X4 @ X5 @ X6 )
=> ( ( X3 @ X5 @ X6 )
| ( ( X5 = X1 )
& ( X6 = X2 ) ) ) )
=> ! [X7: b,X8: a] :
( ( ( X4 @ X7 @ X8 )
& ~ ( ( X7 = X1 )
& ( X8 = X2 ) ) )
=> ( X3 @ X7 @ X8 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.crlVdooK55/E---3.1_3278148.p',cTHM176_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: b,X2: a,X3: b > a > $o,X4: b > a > $o] :
( ! [X5: b,X6: a] :
( ( X4 @ X5 @ X6 )
=> ( ( X3 @ X5 @ X6 )
| ( ( X5 = X1 )
& ( X6 = X2 ) ) ) )
=> ! [X7: b,X8: a] :
( ( ( X4 @ X7 @ X8 )
& ~ ( ( X7 = X1 )
& ( X8 = X2 ) ) )
=> ( X3 @ X7 @ X8 ) ) ),
inference(assume_negation,[status(cth)],[cTHM176_pme]) ).
thf(c_0_2,negated_conjecture,
! [X21: b,X22: a] :
( ( ( X21 = esk1_0 )
| ( epred1_0 @ X21 @ X22 )
| ~ ( epred2_0 @ X21 @ X22 ) )
& ( ( X22 = esk2_0 )
| ( epred1_0 @ X21 @ X22 )
| ~ ( epred2_0 @ X21 @ X22 ) )
& ( epred2_0 @ esk3_0 @ esk4_0 )
& ( ( esk3_0 != esk1_0 )
| ( esk4_0 != esk2_0 ) )
& ~ ( epred1_0 @ esk3_0 @ esk4_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])])]) ).
thf(c_0_3,negated_conjecture,
~ ( epred1_0 @ esk3_0 @ esk4_0 ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_4,negated_conjecture,
! [X1: b,X2: a] :
( ( X1 = esk1_0 )
| ( epred1_0 @ X1 @ X2 )
| ~ ( epred2_0 @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_5,negated_conjecture,
epred2_0 @ esk3_0 @ esk4_0,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_6,negated_conjecture,
( ( esk3_0 != esk1_0 )
| ( esk4_0 != esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_7,negated_conjecture,
esk1_0 = esk3_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5])]) ).
thf(c_0_8,negated_conjecture,
! [X1: b,X2: a] :
( ( X2 = esk2_0 )
| ( epred1_0 @ X1 @ X2 )
| ~ ( epred2_0 @ X1 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
thf(c_0_9,negated_conjecture,
esk2_0 != esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).
thf(c_0_10,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_8]),c_0_5])]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV061^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.17 % Computer : n008.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 15:06:39 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 Running higher-order theorem proving
% 0.11/0.23 Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.crlVdooK55/E---3.1_3278148.p
% 0.11/0.24 % Version: 3.5.1-ho
% 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 % Starting post_as_ho1 with 300s (1) cores
% 0.11/0.24 % Starting post_as_ho4 with 300s (1) cores
% 0.11/0.24 % Starting post_as_ho2 with 300s (1) cores
% 0.11/0.24 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.11/0.24 % Starting full_lambda_10 with 300s (1) cores
% 0.11/0.24 % Starting new_ho_8 with 300s (1) cores
% 0.11/0.24 % new_bool_9 with pid 3278178 completed with status 0
% 0.11/0.24 % Result found by new_bool_9
% 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: HGHSF-FFSF00-SSSFFFNN
% 0.11/0.24 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.24 % Starting SubtermCWHack with 31s (1) cores
% 0.11/0.24 % SubtermCWHack with pid 3278186 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: HGHSF-FFSF00-SSSFFFNN
% 0.11/0.24 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.11/0.24 % Starting SubtermCWHack with 31s (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 : 3
% 0.11/0.24 % Removed by relevancy pruning/SinE : 2
% 0.11/0.24 % Initial clauses : 5
% 0.11/0.24 % Removed in clause preprocessing : 0
% 0.11/0.24 % Initial clauses in saturation : 5
% 0.11/0.24 % Processed clauses : 7
% 0.11/0.24 % ...of these trivial : 0
% 0.11/0.24 % ...subsumed : 0
% 0.11/0.24 % ...remaining for further processing : 7
% 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 : 2
% 0.11/0.24 % Generated clauses : 2
% 0.11/0.24 % ...of the previous two non-redundant : 3
% 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 : 2
% 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 : 5
% 0.11/0.24 % Positive orientable unit clauses : 2
% 0.11/0.24 % Positive unorientable unit clauses: 0
% 0.11/0.24 % Negative unit clauses : 2
% 0.11/0.24 % Non-unit-clauses : 1
% 0.11/0.24 % Current number of unprocessed clauses: 1
% 0.11/0.24 % ...number of literals in the above : 3
% 0.11/0.24 % Current number of archived formulas : 0
% 0.11/0.24 % Current number of archived clauses : 2
% 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 : 1
% 0.11/0.24 % BW rewrite match successes : 1
% 0.11/0.24 % Condensation attempts : 0
% 0.11/0.24 % Condensation successes : 0
% 0.11/0.24 % Termbank termtop insertions : 443
% 0.11/0.24 % Search garbage collected termcells : 183
% 0.11/0.24
% 0.11/0.24 % -------------------------------------------------
% 0.11/0.24 % User time : 0.002 s
% 0.11/0.24 % System time : 0.003 s
% 0.11/0.24 % Total time : 0.005 s
% 0.11/0.24 % Maximum resident set size: 3892 pages
% 0.11/0.24
% 0.11/0.24 % -------------------------------------------------
% 0.11/0.24 % User time : 0.002 s
% 0.11/0.24 % System time : 0.008 s
% 0.11/0.24 % Total time : 0.010 s
% 0.11/0.24 % Maximum resident set size: 4864 pages
% 0.11/0.24 % E exiting
%------------------------------------------------------------------------------