%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV290^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 08:35:20 AM UTC 2026
% Result : Theorem 0.12s 0.26s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 31 ( 11 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 96 ( 10 ~; 1 |; 19 &; 55 @)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 65 ( 65 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 43 ( 20 ^; 14 !; 9 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
c0: ( $i > $o ) > $o ).
thf(decl_24,type,
cSUCC: ( ( $i > $o ) > $o ) > ( $i > $o ) > $o ).
thf(decl_25,type,
c_less__eq_: ( ( $i > $o ) > $o ) > ( ( $i > $o ) > $o ) > $o ).
thf(decl_26,type,
epred1_1: ( ( ( $i > $o ) > $o ) > $o ) > ( $i > $o ) > $o ).
thf(decl_27,type,
epred2_1: ( ( ( $i > $o ) > $o ) > $o ) > ( ( $i > $o ) > $o ) > $o ).
thf(c_less__eq__def,axiom,
( c_less__eq_
= ( ^ [X5: ( $i > $o ) > $o,X6: ( $i > $o ) > $o] :
! [X7: ( ( $i > $o ) > $o ) > $o] :
( ( ( X7 @ X5 )
& ! [X8: ( $i > $o ) > $o] :
( ( X7 @ X8 )
=> ( X7 @ ( cSUCC @ X8 ) ) ) )
=> ( X7 @ X6 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.caGBTEN1nk/E---3.1_3665817.p',c_less__eq__def) ).
thf(cSUCC_def,axiom,
( cSUCC
= ( ^ [X1: ( $i > $o ) > $o,X2: $i > $o] :
? [X3: $i] :
( ( X2 @ X3 )
& ( X1
@ ^ [X4: $i] :
( ( X4 != X3 )
& ( X2 @ X4 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.caGBTEN1nk/E---3.1_3665817.p',cSUCC_def) ).
thf(cBLEDSOE1,conjecture,
? [X9: ( ( $i > $o ) > $o ) > $o] :
! [X10: ( $i > $o ) > $o] :
( ( X9 @ X10 )
=> ( c_less__eq_ @ X10 @ c0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.caGBTEN1nk/E---3.1_3665817.p',cBLEDSOE1) ).
thf(c_0_3,plain,
( c_less__eq_
= ( ^ [Z0: ( $i > $o ) > $o,Z1: ( $i > $o ) > $o] :
! [X7: ( ( $i > $o ) > $o ) > $o] :
( ( ( X7 @ Z0 )
& ! [X8: ( $i > $o ) > $o] :
( ( X7 @ X8 )
=> ( X7
@ ^ [Z2: $i > $o] :
? [X13: $i] :
( ( Z2 @ X13 )
& ( X8
@ ^ [Z3: $i] :
( ( Z3 != X13 )
& ( Z2 @ Z3 ) ) ) ) ) ) )
=> ( X7 @ Z1 ) ) ) ),
inference(fof_simplification,[status(thm)],[c_less__eq__def]) ).
thf(c_0_4,plain,
( cSUCC
= ( ^ [Z0: ( $i > $o ) > $o,Z1: $i > $o] :
? [X3: $i] :
( ( Z1 @ X3 )
& ( Z0
@ ^ [Z2: $i] :
( ( Z2 != X3 )
& ( Z1 @ Z2 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[cSUCC_def]) ).
thf(c_0_5,negated_conjecture,
~ ? [X9: ( ( $i > $o ) > $o ) > $o] :
! [X10: ( $i > $o ) > $o] :
( ( X9 @ X10 )
=> ( c_less__eq_ @ X10 @ c0 ) ),
inference(assume_negation,[status(cth)],[cBLEDSOE1]) ).
thf(c_0_6,plain,
( c_less__eq_
= ( ^ [Z0: ( $i > $o ) > $o,Z1: ( $i > $o ) > $o] :
! [X7: ( ( $i > $o ) > $o ) > $o] :
( ( ( X7 @ Z0 )
& ! [X8: ( $i > $o ) > $o] :
( ( X7 @ X8 )
=> ( X7
@ ^ [Z2: $i > $o] :
? [X13: $i] :
( ( Z2 @ X13 )
& ( X8
@ ^ [Z3: $i] :
( ( Z3 != X13 )
& ( Z2 @ Z3 ) ) ) ) ) ) )
=> ( X7 @ Z1 ) ) ) ),
inference(apply_def,[status(thm)],[c_0_3,c_0_4]) ).
thf(c_0_7,negated_conjecture,
~ ? [X9: ( ( $i > $o ) > $o ) > $o] :
! [X10: ( $i > $o ) > $o] :
( ( X9 @ X10 )
=> ! [X14: ( ( $i > $o ) > $o ) > $o] :
( ( ( X14 @ X10 )
& ! [X15: ( $i > $o ) > $o] :
( ( X14 @ X15 )
=> ( X14
@ ^ [Z0: $i > $o] :
? [X16: $i] :
( ( Z0 @ X16 )
& ( X15
@ ^ [Z1: $i] :
( ( Z1 != X16 )
& ( Z0 @ Z1 ) ) ) ) ) ) )
=> ( X14 @ c0 ) ) ),
inference(apply_def,[status(thm)],[c_0_5,c_0_6]) ).
thf(c_0_8,negated_conjecture,
! [X17: ( ( $i > $o ) > $o ) > $o,X20: ( $i > $o ) > $o] :
( ( X17 @ ( epred1_1 @ X17 ) )
& ( epred2_1 @ X17 @ ( epred1_1 @ X17 ) )
& ( ~ ( epred2_1 @ X17 @ X20 )
| ( epred2_1 @ X17
@ ^ [Z0: $i > $o] :
? [X16: $i] :
( ( Z0 @ X16 )
& ( X20
@ ^ [Z1: $i] :
( ( Z1 != X16 )
& ( Z0 @ Z1 ) ) ) ) ) )
& ~ ( epred2_1 @ X17 @ c0 ) ),
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_7])])])])]) ).
thf(c_0_9,negated_conjecture,
! [X7: ( ( $i > $o ) > $o ) > $o] : ( X7 @ ( epred1_1 @ X7 ) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_10,negated_conjecture,
$false,
inference(flex_resolve,[status(thm)],[c_0_9]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV290^5 : TPTP v9.3.1. Bugfixed v5.2.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.19 % Computer : n015.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.19 % DateTime : Tue Sep 29 15:34:48 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.23 Running higher-order theorem proving
% 0.12/0.24 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.caGBTEN1nk/E---3.1_3665817.p
% 0.12/0.26 % Version: 3.5.1-ho
% 0.12/0.26 % Preprocessing class: HSSSSMSSSLSNHHA.
% 0.12/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.26 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.12/0.26 % Starting sh3l with 300s (1) cores
% 0.12/0.26 % Starting lpo6_lambda_fix with 300s (1) cores
% 0.12/0.26 % Starting full_lambda_8 with 300s (1) cores
% 0.12/0.26 % sh3l with pid 3665844 completed with status 0
% 0.12/0.26 % Result found by sh3l
% 0.12/0.26 % Preprocessing class: HSSSSMSSSLSNHHA.
% 0.12/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.26 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.12/0.26 % Starting sh3l with 300s (1) cores
% 0.12/0.26 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
% 0.12/0.26 % SinE strategy is gf120_gu_RUU_F100_L01000
% 0.12/0.26 % Search class: HHUNS-FFSF00-DHHFMSBN
% 0.12/0.26 % partial match(3): HHUNF-FFSF00-SHSFMSBN
% 0.12/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.12/0.26 % SubtermCWHack with pid 3665847 completed with status 0
% 0.12/0.26 % Result found by SubtermCWHack
% 0.12/0.26 % Preprocessing class: HSSSSMSSSLSNHHA.
% 0.12/0.26 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.26 % Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.12/0.26 % Starting sh3l with 300s (1) cores
% 0.12/0.26 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = gf120_gu_RUU_F100_L01000)
% 0.12/0.26 % SinE strategy is gf120_gu_RUU_F100_L01000
% 0.12/0.26 % Search class: HHUNS-FFSF00-DHHFMSBN
% 0.12/0.26 % partial match(3): HHUNF-FFSF00-SHSFMSBN
% 0.12/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.12/0.26 % Preprocessing time : 0.001 s
% 0.12/0.26
% 0.12/0.26 % Proof found!
% 0.12/0.26 % SZS status Theorem
% 0.12/0.26 % SZS output start CNFRefutation
% See solution above
% 0.12/0.26 % Parsed axioms : 6
% 0.12/0.26 % Removed by relevancy pruning/SinE : 3
% 0.12/0.26 % Initial clauses : 4
% 0.12/0.26 % Removed in clause preprocessing : 0
% 0.12/0.26 % Initial clauses in saturation : 4
% 0.12/0.26 % Processed clauses : 2
% 0.12/0.26 % ...of these trivial : 0
% 0.12/0.26 % ...subsumed : 0
% 0.12/0.26 % ...remaining for further processing : 1
% 0.12/0.26 % Other redundant clauses eliminated : 0
% 0.12/0.26 % Clauses deleted for lack of memory : 0
% 0.12/0.26 % Backward-subsumed : 0
% 0.12/0.26 % Backward-rewritten : 0
% 0.12/0.26 % Generated clauses : 0
% 0.12/0.26 % ...of the previous two non-redundant : 0
% 0.12/0.26 % ...aggressively subsumed : 0
% 0.12/0.26 % Contextual simplify-reflections : 0
% 0.12/0.26 % Paramodulations : 0
% 0.12/0.26 % Factorizations : 0
% 0.12/0.26 % NegExts : 0
% 0.12/0.26 % Equation resolutions : 0
% 0.12/0.26 % Disequality decompositions : 0
% 0.12/0.26 % Total rewrite steps : 0
% 0.12/0.26 % ...of those cached : 0
% 0.12/0.26 % Propositional unsat checks : 0
% 0.12/0.26 % Propositional check models : 0
% 0.12/0.26 % Propositional check unsatisfiable : 0
% 0.12/0.26 % Propositional clauses : 0
% 0.12/0.26 % Propositional clauses after purity: 0
% 0.12/0.26 % Propositional unsat core size : 0
% 0.12/0.26 % Propositional preprocessing time : 0.000
% 0.12/0.26 % Propositional encoding time : 0.000
% 0.12/0.26 % Propositional solver time : 0.000
% 0.12/0.26 % Success case prop preproc time : 0.000
% 0.12/0.26 % Success case prop encoding time : 0.000
% 0.12/0.26 % Success case prop solver time : 0.000
% 0.12/0.26 % Current number of processed clauses : 1
% 0.12/0.26 % Positive orientable unit clauses : 0
% 0.12/0.26 % Positive unorientable unit clauses: 0
% 0.12/0.26 % Negative unit clauses : 1
% 0.12/0.26 % Non-unit-clauses : 0
% 0.12/0.26 % Current number of unprocessed clauses: 2
% 0.12/0.26 % ...number of literals in the above : 3
% 0.12/0.26 % Current number of archived formulas : 0
% 0.12/0.26 % Current number of archived clauses : 0
% 0.12/0.26 % Clause-clause subsumption calls (NU) : 0
% 0.12/0.26 % Rec. Clause-clause subsumption calls : 0
% 0.12/0.26 % Non-unit clause-clause subsumptions : 0
% 0.12/0.26 % Unit Clause-clause subsumption calls : 0
% 0.12/0.26 % Rewrite failures with RHS unbound : 0
% 0.12/0.26 % BW rewrite match attempts : 0
% 0.12/0.26 % BW rewrite match successes : 0
% 0.12/0.26 % Condensation attempts : 0
% 0.12/0.26 % Condensation successes : 0
% 0.12/0.26 % Termbank termtop insertions : 496
% 0.12/0.26 % Search garbage collected termcells : 167
% 0.12/0.26
% 0.12/0.26 % -------------------------------------------------
% 0.12/0.26 % User time : 0.002 s
% 0.12/0.26 % System time : 0.001 s
% 0.12/0.26 % Total time : 0.004 s
% 0.12/0.26 % Maximum resident set size: 3640 pages
% 0.12/0.26
% 0.12/0.26 % -------------------------------------------------
% 0.12/0.26 % User time : 0.004 s
% 0.12/0.26 % System time : 0.006 s
% 0.12/0.26 % Total time : 0.010 s
% 0.12/0.26 % Maximum resident set size: 4864 pages
% 0.12/0.26 % E exiting
%------------------------------------------------------------------------------