%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SET594^5 : 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 : n013.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 08:21:59 AM UTC 2026
% Result : Theorem 0.10s 0.24s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 1
% Syntax : Number of formulae : 11 ( 8 unt; 0 typ; 0 def)
% Number of atoms : 30 ( 5 equ; 0 cnn)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 83 ( 7 ~; 11 |; 15 &; 43 @)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 19 ( 5 ^; 14 !; 0 ?; 19 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: a > $o ).
thf(decl_24,type,
epred2_0: a > $o ).
thf(decl_25,type,
epred3_0: a > $o ).
thf(decl_26,type,
esk1_0: a ).
thf(cBOOL_PROP_53_pme,conjecture,
! [X1: a > $o,X2: a > $o,X3: a > $o] :
( ( ( ^ [X4: a] :
( ( ( X1 @ X4 )
& ( X2 @ X4 ) )
| ( ( X1 @ X4 )
& ( X3 @ X4 ) ) ) )
= X1 )
=> ! [X5: a] :
( ( X1 @ X5 )
=> ( ( X2 @ X5 )
| ( X3 @ X5 ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.UnB3JvcbjT/E---3.1_2119783.p',cBOOL_PROP_53_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > $o,X2: a > $o,X3: a > $o] :
( ( ( ^ [X4: a] :
( ( ( X1 @ X4 )
& ( X2 @ X4 ) )
| ( ( X1 @ X4 )
& ( X3 @ X4 ) ) ) )
= X1 )
=> ! [X5: a] :
( ( X1 @ X5 )
=> ( ( X2 @ X5 )
| ( X3 @ X5 ) ) ) ),
inference(assume_negation,[status(cth)],[cBOOL_PROP_53_pme]) ).
thf(c_0_2,negated_conjecture,
~ ! [X1: a > $o,X2: a > $o,X3: a > $o] :
( ( ( ^ [Z0: a] :
( ( ( X1 @ Z0 )
& ( X2 @ Z0 ) )
| ( ( X1 @ Z0 )
& ( X3 @ Z0 ) ) ) )
= X1 )
=> ! [X5: a] :
( ( X1 @ X5 )
=> ( ( X2 @ X5 )
| ( X3 @ X5 ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
( ( ( ^ [Z0: a] :
( ( ( epred1_0 @ Z0 )
& ( epred2_0 @ Z0 ) )
| ( ( epred1_0 @ Z0 )
& ( epred3_0 @ Z0 ) ) ) )
= epred1_0 )
& ( epred1_0 @ esk1_0 )
& ~ ( epred2_0 @ esk1_0 )
& ~ ( epred3_0 @ esk1_0 ) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])]) ).
thf(c_0_4,negated_conjecture,
( ( ^ [Z0: a] :
( ( ( epred1_0 @ Z0 )
& ( epred2_0 @ Z0 ) )
| ( ( epred1_0 @ Z0 )
& ( epred3_0 @ Z0 ) ) ) )
= epred1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X14: a] :
( ( ( ( epred1_0 @ X14 )
& ( epred2_0 @ X14 ) )
| ( ( epred1_0 @ X14 )
& ( epred3_0 @ X14 ) ) )
<=> ( epred1_0 @ X14 ) ),
inference(arg_cong,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
~ ( epred3_0 @ esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
! [X4: a] :
( ( epred2_0 @ X4 )
| ( epred3_0 @ X4 )
| ~ ( epred1_0 @ X4 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
epred1_0 @ esk1_0,
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_9,negated_conjecture,
~ ( epred2_0 @ esk1_0 ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
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_6,c_0_7]),c_0_8])]),c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET594^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.16 % Computer : n013.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Tue Sep 29 13:37:51 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.17 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running higher-order theorem proving
% 0.10/0.22 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.UnB3JvcbjT/E---3.1_2119783.p
% 0.10/0.24 % Version: 3.5.1-ho
% 0.10/0.24 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.10/0.24 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.24 % Starting post_as_ho12 with 300s (1) cores
% 0.10/0.24 % Starting new_bool_9 with 300s (1) cores
% 0.10/0.24 % Starting post_as_ho1 with 300s (1) cores
% 0.10/0.24 % Starting post_as_ho4 with 300s (1) cores
% 0.10/0.24 % Starting post_as_ho2 with 300s (1) cores
% 0.10/0.24 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.10/0.24 % Starting full_lambda_10 with 300s (1) cores
% 0.10/0.24 % Starting new_ho_8 with 300s (1) cores
% 0.10/0.24 % new_bool_9 with pid 2119824 completed with status 0
% 0.10/0.24 % Result found by new_bool_9
% 0.10/0.24 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.10/0.24 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.24 % Starting post_as_ho12 with 300s (1) cores
% 0.10/0.24 % Starting new_bool_9 with 300s (1) cores
% 0.10/0.24 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 0.10/0.24 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.10/0.24 % Search class: HUUSF-FFSF00-MSSFFFNN
% 0.10/0.24 % partial match(1): HUUSF-FFSF00-SSSFFFNN
% 0.10/0.24 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.24 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.24 % SubtermCWHack with pid 2119830 completed with status 0
% 0.10/0.24 % Result found by SubtermCWHack
% 0.10/0.24 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.10/0.24 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.24 % Starting post_as_ho12 with 300s (1) cores
% 0.10/0.24 % Starting new_bool_9 with 300s (1) cores
% 0.10/0.24 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 0.10/0.24 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.10/0.24 % Search class: HUUSF-FFSF00-MSSFFFNN
% 0.10/0.24 % partial match(1): HUUSF-FFSF00-SSSFFFNN
% 0.10/0.24 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.24 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.24 % Preprocessing time : 0.001 s
% 0.10/0.24
% 0.10/0.24 % Proof found!
% 0.10/0.24 % SZS status Theorem
% 0.10/0.24 % SZS output start CNFRefutation
% See solution above
% 0.10/0.24 % Parsed axioms : 2
% 0.10/0.24 % Removed by relevancy pruning/SinE : 1
% 0.10/0.24 % Initial clauses : 4
% 0.10/0.24 % Removed in clause preprocessing : 0
% 0.10/0.24 % Initial clauses in saturation : 4
% 0.10/0.24 % Processed clauses : 6
% 0.10/0.24 % ...of these trivial : 0
% 0.10/0.24 % ...subsumed : 0
% 0.10/0.24 % ...remaining for further processing : 6
% 0.10/0.24 % Other redundant clauses eliminated : 0
% 0.10/0.24 % Clauses deleted for lack of memory : 0
% 0.10/0.24 % Backward-subsumed : 0
% 0.10/0.24 % Backward-rewritten : 0
% 0.10/0.24 % Generated clauses : 8
% 0.10/0.24 % ...of the previous two non-redundant : 2
% 0.10/0.24 % ...aggressively subsumed : 0
% 0.10/0.24 % Contextual simplify-reflections : 0
% 0.10/0.24 % Paramodulations : 1
% 0.10/0.24 % Factorizations : 0
% 0.10/0.24 % NegExts : 0
% 0.10/0.24 % Equation resolutions : 0
% 0.10/0.24 % Disequality decompositions : 0
% 0.10/0.24 % Total rewrite steps : 1
% 0.10/0.24 % ...of those cached : 0
% 0.10/0.24 % Propositional unsat checks : 0
% 0.10/0.24 % Propositional check models : 0
% 0.10/0.24 % Propositional check unsatisfiable : 0
% 0.10/0.24 % Propositional clauses : 0
% 0.10/0.24 % Propositional clauses after purity: 0
% 0.10/0.24 % Propositional unsat core size : 0
% 0.10/0.24 % Propositional preprocessing time : 0.000
% 0.10/0.24 % Propositional encoding time : 0.000
% 0.10/0.24 % Propositional solver time : 0.000
% 0.10/0.24 % Success case prop preproc time : 0.000
% 0.10/0.24 % Success case prop encoding time : 0.000
% 0.10/0.24 % Success case prop solver time : 0.000
% 0.10/0.24 % Current number of processed clauses : 5
% 0.10/0.24 % Positive orientable unit clauses : 2
% 0.10/0.24 % Positive unorientable unit clauses: 0
% 0.10/0.24 % Negative unit clauses : 2
% 0.10/0.24 % Non-unit-clauses : 1
% 0.10/0.24 % Current number of unprocessed clauses: 0
% 0.10/0.24 % ...number of literals in the above : 0
% 0.10/0.24 % Current number of archived formulas : 0
% 0.10/0.24 % Current number of archived clauses : 1
% 0.10/0.24 % Clause-clause subsumption calls (NU) : 0
% 0.10/0.24 % Rec. Clause-clause subsumption calls : 0
% 0.10/0.24 % Non-unit clause-clause subsumptions : 0
% 0.10/0.24 % Unit Clause-clause subsumption calls : 0
% 0.10/0.24 % Rewrite failures with RHS unbound : 0
% 0.10/0.24 % BW rewrite match attempts : 0
% 0.10/0.24 % BW rewrite match successes : 0
% 0.10/0.24 % Condensation attempts : 0
% 0.10/0.24 % Condensation successes : 0
% 0.10/0.24 % Termbank termtop insertions : 569
% 0.10/0.24 % Search garbage collected termcells : 109
% 0.10/0.24
% 0.10/0.24 % -------------------------------------------------
% 0.10/0.24 % User time : 0.002 s
% 0.10/0.24 % System time : 0.000 s
% 0.10/0.24 % Total time : 0.003 s
% 0.10/0.24 % Maximum resident set size: 3888 pages
% 0.10/0.24
% 0.10/0.24 % -------------------------------------------------
% 0.10/0.24 % User time : 0.003 s
% 0.10/0.24 % System time : 0.006 s
% 0.10/0.24 % Total time : 0.009 s
% 0.10/0.24 % Maximum resident set size: 4864 pages
% 0.10/0.24 % E exiting
%------------------------------------------------------------------------------