%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SET636^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 08:22:46 AM UTC 2026
% Result : Theorem 0.10s 0.26s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 22 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 78 ( 12 equ; 0 cnn)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 143 ( 34 ~; 21 |; 20 &; 65 @)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 5 con; 0-2 aty)
% Number of variables : 39 ( 24 ^; 12 !; 3 ?; 39 :)
% 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,
esk1_0: a ).
thf(decl_26,type,
esk3_0: a ).
thf(decl_27,type,
esk4_0: a ).
thf(cBOOL_PROP_118_pme,conjecture,
! [X1: a > $o,X2: a > $o] :
( ~ ? [X3: a] :
( ( X1 @ X3 )
& ( X2 @ X3 ) )
<=> ( ( ^ [X3: a] :
( ( X1 @ X3 )
& ( X2 @ X3 ) ) )
= ( ^ [X3: a] : ~ $true ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Azx6XcghBv/E---3.1_607886.p',cBOOL_PROP_118_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > $o,X2: a > $o] :
( ~ ? [X3: a] :
( ( X1 @ X3 )
& ( X2 @ X3 ) )
<=> ( ( ^ [X3: a] :
( ( X1 @ X3 )
& ( X2 @ X3 ) ) )
= ( ^ [X3: a] : ~ $true ) ) ),
inference(assume_negation,[status(cth)],[cBOOL_PROP_118_pme]) ).
thf(c_0_2,negated_conjecture,
~ ! [X1: a > $o,X2: a > $o] :
( ~ ? [X3: a] :
( ( X1 @ X3 )
& ( X2 @ X3 ) )
<=> ( ( ^ [Z0: a] :
( ( X1 @ Z0 )
& ( X2 @ Z0 ) ) )
= ( ^ [Z0: a] : ~ $true ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
! [X10: a] :
( ( ( epred1_0 @ esk1_0 )
| ( ( ^ [Z0: a] :
( ( epred1_0 @ Z0 )
& ( epred2_0 @ Z0 ) ) )
!= ( ^ [Z0: a] : ~ $true ) ) )
& ( ( epred2_0 @ esk1_0 )
| ( ( ^ [Z0: a] :
( ( epred1_0 @ Z0 )
& ( epred2_0 @ Z0 ) ) )
!= ( ^ [Z0: a] : ~ $true ) ) )
& ( ~ ( epred1_0 @ X10 )
| ~ ( epred2_0 @ X10 )
| ( ( ^ [Z0: a] :
( ( epred1_0 @ Z0 )
& ( epred2_0 @ Z0 ) ) )
= ( ^ [Z0: a] : ~ $true ) ) ) ),
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_2])])])])])]) ).
thf(c_0_4,negated_conjecture,
! [X3: a] :
( ( ( ^ [Z0: a] :
( ( epred1_0 @ Z0 )
& ( epred2_0 @ Z0 ) ) )
= ( ^ [Z0: a] : ~ $true ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred2_0 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( ( ^ [Z0: a] :
( ( epred1_0 @ Z0 )
& ( epred2_0 @ Z0 ) ) )
!= ( ^ [Z0: a] : ~ $true ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( ( ^ [Z0: a] :
( ( epred1_0 @ Z0 )
& ( epred2_0 @ Z0 ) ) )
!= ( ^ [Z0: a] : ~ $true ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
! [X3: a] :
( ( ( ^ [Z0: a] :
( ( epred1_0 @ Z0 )
& ( epred2_0 @ Z0 ) ) )
= ( ^ [Z0: a] : ~ $true ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred2_0 @ X3 ) ),
inference(cn,[status(thm)],[c_0_4]) ).
thf(c_0_8,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( ( ^ [Z0: a] :
( ( epred1_0 @ Z0 )
& ( epred2_0 @ Z0 ) ) )
!= ( ^ [Z0: a] : ~ $true ) ) ),
inference(cn,[status(thm)],[c_0_5]) ).
thf(c_0_9,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( ( ^ [Z0: a] :
( ( epred1_0 @ Z0 )
& ( epred2_0 @ Z0 ) ) )
!= ( ^ [Z0: a] : ~ $true ) ) ),
inference(cn,[status(thm)],[c_0_6]) ).
thf(c_0_10,negated_conjecture,
! [X11: a,X3: a] :
( ~ ( ( epred1_0 @ X11 )
& ( epred2_0 @ X11 ) )
| ~ ( epred1_0 @ X3 )
| ~ ( epred2_0 @ X3 ) ),
inference(arg_cong,[status(thm)],[c_0_7]) ).
thf(c_0_11,negated_conjecture,
( ( ( epred1_0 @ esk3_0 )
& ( epred2_0 @ esk3_0 ) )
| ( epred1_0 @ esk1_0 ) ),
inference(neg_ext,[status(thm)],[c_0_8]) ).
thf(c_0_12,negated_conjecture,
( ( ( epred1_0 @ esk4_0 )
& ( epred2_0 @ esk4_0 ) )
| ( epred2_0 @ esk1_0 ) ),
inference(neg_ext,[status(thm)],[c_0_9]) ).
thf(c_0_13,negated_conjecture,
! [X3: a] :
( ~ ( epred1_0 @ X3 )
| ~ ( epred2_0 @ X3 ) ),
inference(condense,[status(thm)],[inference(dynamic_cnf,[status(thm)],[c_0_10])]) ).
thf(c_0_14,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred2_0 @ esk3_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_11]) ).
thf(c_0_15,negated_conjecture,
( ( epred1_0 @ esk1_0 )
| ( epred1_0 @ esk3_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_11]) ).
thf(c_0_16,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred2_0 @ esk4_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_12]) ).
thf(c_0_17,negated_conjecture,
epred1_0 @ esk1_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).
thf(c_0_18,negated_conjecture,
( ( epred2_0 @ esk1_0 )
| ( epred1_0 @ esk4_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_12]) ).
thf(c_0_19,negated_conjecture,
epred2_0 @ esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_16]),c_0_17])]) ).
thf(c_0_20,negated_conjecture,
epred1_0 @ esk4_0,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_18]),c_0_17])]) ).
thf(c_0_21,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_19]),c_0_20])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET636^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n026.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Tue Sep 29 13:42:57 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.Azx6XcghBv/E---3.1_607886.p
% 0.10/0.26 % Version: 3.5.1-ho
% 0.10/0.26 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.10/0.26 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.26 % Starting post_as_ho12 with 300s (1) cores
% 0.10/0.26 % Starting new_bool_9 with 300s (1) cores
% 0.10/0.26 % Starting post_as_ho1 with 300s (1) cores
% 0.10/0.26 % Starting post_as_ho4 with 300s (1) cores
% 0.10/0.26 % Starting post_as_ho2 with 300s (1) cores
% 0.10/0.26 % Starting ehoh_best2_full_lfho with 300s (1) cores
% 0.10/0.26 % Starting full_lambda_10 with 300s (1) cores
% 0.10/0.26 % Starting new_ho_8 with 300s (1) cores
% 0.10/0.26 % new_bool_9 with pid 607920 completed with status 0
% 0.10/0.26 % Result found by new_bool_9
% 0.10/0.26 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.10/0.26 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.26 % Starting post_as_ho12 with 300s (1) cores
% 0.10/0.26 % Starting new_bool_9 with 300s (1) cores
% 0.10/0.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 0.10/0.26 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.10/0.26 % Search class: HHUSF-FFSF00-MSSFFFNN
% 0.10/0.26 % partial match(1): HHUSF-FFSF00-SSSFFFNN
% 0.10/0.26 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.26 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.26 % SubtermCWHack with pid 607926 completed with status 10
% 0.10/0.26 % Starting new_ho_10 with 181s (1) cores
% 0.10/0.26 % new_ho_10 with pid 607930 completed with status 0
% 0.10/0.26 % Result found by new_ho_10
% 0.10/0.26 % Preprocessing class: HSSSSMSSSSSNSSA.
% 0.10/0.26 % Scheduled 8 strats onto 8 cores with 300 seconds (2400 total)
% 0.10/0.26 % Starting post_as_ho12 with 300s (1) cores
% 0.10/0.26 % Starting new_bool_9 with 300s (1) cores
% 0.10/0.26 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 0.10/0.26 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.10/0.26 % Search class: HHUSF-FFSF00-MSSFFFNN
% 0.10/0.26 % partial match(1): HHUSF-FFSF00-SSSFFFNN
% 0.10/0.26 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.10/0.26 % Starting SubtermCWHack with 31s (1) cores
% 0.10/0.26 % SubtermCWHack with pid 607926 completed with status 10
% 0.10/0.26 % Starting new_ho_10 with 181s (1) cores
% 0.10/0.26 % Preprocessing time : 0.001 s
% 0.10/0.26 % Presaturation interreduction done
% 0.10/0.26
% 0.10/0.26 % Proof found!
% 0.10/0.26 % SZS status Theorem
% 0.10/0.26 % SZS output start CNFRefutation
% See solution above
% 0.10/0.26 % Parsed axioms : 2
% 0.10/0.26 % Removed by relevancy pruning/SinE : 1
% 0.10/0.26 % Initial clauses : 3
% 0.10/0.26 % Removed in clause preprocessing : 0
% 0.10/0.26 % Initial clauses in saturation : 3
% 0.10/0.26 % Processed clauses : 17
% 0.10/0.26 % ...of these trivial : 0
% 0.10/0.26 % ...subsumed : 0
% 0.10/0.26 % ...remaining for further processing : 17
% 0.10/0.26 % Other redundant clauses eliminated : 0
% 0.10/0.26 % Clauses deleted for lack of memory : 0
% 0.10/0.26 % Backward-subsumed : 2
% 0.10/0.26 % Backward-rewritten : 4
% 0.10/0.26 % Generated clauses : 13
% 0.10/0.26 % ...of the previous two non-redundant : 12
% 0.10/0.26 % ...aggressively subsumed : 0
% 0.10/0.26 % Contextual simplify-reflections : 1
% 0.10/0.26 % Paramodulations : 5
% 0.10/0.26 % Factorizations : 0
% 0.10/0.26 % NegExts : 2
% 0.10/0.26 % Equation resolutions : 0
% 0.10/0.26 % Disequality decompositions : 0
% 0.10/0.26 % Total rewrite steps : 7
% 0.10/0.26 % ...of those cached : 4
% 0.10/0.26 % Propositional unsat checks : 0
% 0.10/0.26 % Propositional check models : 0
% 0.10/0.26 % Propositional check unsatisfiable : 0
% 0.10/0.26 % Propositional clauses : 0
% 0.10/0.26 % Propositional clauses after purity: 0
% 0.10/0.26 % Propositional unsat core size : 0
% 0.10/0.26 % Propositional preprocessing time : 0.000
% 0.10/0.26 % Propositional encoding time : 0.000
% 0.10/0.26 % Propositional solver time : 0.000
% 0.10/0.26 % Success case prop preproc time : 0.000
% 0.10/0.26 % Success case prop encoding time : 0.000
% 0.10/0.26 % Success case prop solver time : 0.000
% 0.10/0.26 % Current number of processed clauses : 5
% 0.10/0.26 % Positive orientable unit clauses : 3
% 0.10/0.26 % Positive unorientable unit clauses: 0
% 0.10/0.26 % Negative unit clauses : 0
% 0.10/0.26 % Non-unit-clauses : 2
% 0.10/0.26 % Current number of unprocessed clauses: 1
% 0.10/0.26 % ...number of literals in the above : 3
% 0.10/0.26 % Current number of archived formulas : 0
% 0.10/0.26 % Current number of archived clauses : 12
% 0.10/0.26 % Clause-clause subsumption calls (NU) : 4
% 0.10/0.26 % Rec. Clause-clause subsumption calls : 4
% 0.10/0.26 % Non-unit clause-clause subsumptions : 3
% 0.10/0.26 % Unit Clause-clause subsumption calls : 3
% 0.10/0.26 % Rewrite failures with RHS unbound : 0
% 0.10/0.26 % BW rewrite match attempts : 3
% 0.10/0.26 % BW rewrite match successes : 3
% 0.10/0.26 % Condensation attempts : 17
% 0.10/0.26 % Condensation successes : 1
% 0.10/0.26 % Termbank termtop insertions : 771
% 0.10/0.26 % Search garbage collected termcells : 119
% 0.10/0.26
% 0.10/0.26 % -------------------------------------------------
% 0.10/0.26 % User time : 0.003 s
% 0.10/0.26 % System time : 0.001 s
% 0.10/0.26 % Total time : 0.004 s
% 0.10/0.26 % Maximum resident set size: 3576 pages
% 0.10/0.26
% 0.10/0.26 % -------------------------------------------------
% 0.10/0.26 % User time : 0.004 s
% 0.10/0.26 % System time : 0.006 s
% 0.10/0.26 % Total time : 0.011 s
% 0.10/0.26 % Maximum resident set size: 4864 pages
% 0.10/0.26 % E exiting
%------------------------------------------------------------------------------