%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV317^5 : 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 : n004.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 08:35:22 AM UTC 2026
% Result : Theorem 254.36s 37.28s
% Output : CNFRefutation 254.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 3 unt; 0 typ; 0 def)
% Number of atoms : 48 ( 0 equ; 0 cnn)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 376 ( 20 ~; 21 |; 25 &; 285 @)
% ( 0 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 10 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 92 ( 14 ^; 75 !; 3 ?; 92 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
a: $tType ).
thf(decl_23,type,
epred1_0: a > a > $o ).
thf(decl_24,type,
esk1_0: ( a > $o ) > a ).
thf(decl_25,type,
esk2_2: ( a > $o ) > a > a ).
thf(decl_26,type,
esk3_0: a > a ).
thf(cTHM145_A_pme,conjecture,
! [X1: a > a > $o,X2: ( a > $o ) > a] :
( ( ! [X3: a,X4: a,X5: a] :
( ( ( X1 @ X3 @ X4 )
& ( X1 @ X4 @ X5 ) )
=> ( X1 @ X3 @ X5 ) )
& ! [X6: a > $o] :
( ! [X5: a] :
( ( X6 @ X5 )
=> ( X1 @ X5 @ ( X2 @ X6 ) ) )
& ! [X5: a] :
( ( X6 @ X5 )
=> ( X1 @ X5 @ ( X2 @ X6 ) ) )
& ! [X7: a] :
( ! [X8: a] :
( ( ( X6 @ X8 )
& ( X6 @ X8 ) )
=> ( X1 @ X8 @ X7 ) )
=> ( ( X1 @ ( X2 @ X6 ) @ X7 )
& ( X1 @ ( X2 @ X6 ) @ X7 ) ) ) ) )
=> ! [X9: a > a] :
( ( ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( X1 @ ( X9 @ X3 ) @ ( X9 @ X4 ) ) )
& ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( X1 @ ( X9 @ X3 ) @ ( X9 @ X4 ) ) ) )
=> ? [X10: a] :
( ( X1 @ X10 @ ( X9 @ X10 ) )
& ( X1 @ ( X9 @ X10 ) @ X10 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.OhXahNcgCH/E---3.1_1437225.p',cTHM145_A_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: a > a > $o,X2: ( a > $o ) > a] :
( ( ! [X3: a,X4: a,X5: a] :
( ( ( X1 @ X3 @ X4 )
& ( X1 @ X4 @ X5 ) )
=> ( X1 @ X3 @ X5 ) )
& ! [X6: a > $o] :
( ! [X5: a] :
( ( X6 @ X5 )
=> ( X1 @ X5 @ ( X2 @ X6 ) ) )
& ! [X5: a] :
( ( X6 @ X5 )
=> ( X1 @ X5 @ ( X2 @ X6 ) ) )
& ! [X7: a] :
( ! [X8: a] :
( ( ( X6 @ X8 )
& ( X6 @ X8 ) )
=> ( X1 @ X8 @ X7 ) )
=> ( ( X1 @ ( X2 @ X6 ) @ X7 )
& ( X1 @ ( X2 @ X6 ) @ X7 ) ) ) ) )
=> ! [X9: a > a] :
( ( ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( X1 @ ( X9 @ X3 ) @ ( X9 @ X4 ) ) )
& ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( X1 @ ( X9 @ X3 ) @ ( X9 @ X4 ) ) ) )
=> ? [X10: a] :
( ( X1 @ X10 @ ( X9 @ X10 ) )
& ( X1 @ ( X9 @ X10 ) @ X10 ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM145_A_pme]) ).
thf(c_0_2,negated_conjecture,
~ ! [X1: a > a > $o,X2: ( a > $o ) > a] :
( ( ! [X3: a,X4: a,X5: a] :
( ( ( X1 @ X3 @ X4 )
& ( X1 @ X4 @ X5 ) )
=> ( X1 @ X3 @ X5 ) )
& ! [X6: a > $o] :
( ! [X5: a] :
( ( X6 @ X5 )
=> ( X1 @ X5 @ ( X2 @ X6 ) ) )
& ! [X7: a] :
( ! [X8: a] :
( ( X6 @ X8 )
=> ( X1 @ X8 @ X7 ) )
=> ( X1 @ ( X2 @ X6 ) @ X7 ) ) ) )
=> ! [X9: a > a] :
( ! [X3: a,X4: a] :
( ( X1 @ X3 @ X4 )
=> ( X1 @ ( X9 @ X3 ) @ ( X9 @ X4 ) ) )
=> ? [X10: a] :
( ( X1 @ X10 @ ( X9 @ X10 ) )
& ( X1 @ ( X9 @ X10 ) @ X10 ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
! [X29: a,X30: a,X31: a,X32: a > $o,X33: a,X34: a,X37: a,X38: a,X39: a] :
( ( ~ ( epred1_0 @ X29 @ X30 )
| ~ ( epred1_0 @ X30 @ X31 )
| ( epred1_0 @ X29 @ X31 ) )
& ( ~ ( X32 @ X33 )
| ( epred1_0 @ X33 @ ( esk1_0 @ X32 ) ) )
& ( ( X32 @ ( esk2_2 @ X32 @ X34 ) )
| ( epred1_0 @ ( esk1_0 @ X32 ) @ X34 ) )
& ( ~ ( epred1_0 @ ( esk2_2 @ X32 @ X34 ) @ X34 )
| ( epred1_0 @ ( esk1_0 @ X32 ) @ X34 ) )
& ( ~ ( epred1_0 @ X37 @ X38 )
| ( epred1_0 @ ( esk3_0 @ X37 ) @ ( esk3_0 @ X38 ) ) )
& ( ~ ( epred1_0 @ X39 @ ( esk3_0 @ X39 ) )
| ~ ( epred1_0 @ ( esk3_0 @ X39 ) @ X39 ) ) ),
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,X4: a,X5: a] :
( ( epred1_0 @ X3 @ X5 )
| ~ ( epred1_0 @ X3 @ X4 )
| ~ ( epred1_0 @ X4 @ X5 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X3: a,X4: a] :
( ( epred1_0 @ ( esk3_0 @ X3 ) @ ( esk3_0 @ X4 ) )
| ~ ( epred1_0 @ X3 @ X4 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X3: a,X5: a,X4: a] :
( ( epred1_0 @ X3 @ ( esk3_0 @ X4 ) )
| ~ ( epred1_0 @ X3 @ ( esk3_0 @ X5 ) )
| ~ ( epred1_0 @ X5 @ X4 ) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
thf(c_0_7,negated_conjecture,
! [X6: a > $o,X3: a] :
( ( X6 @ ( esk2_2 @ X6 @ X3 ) )
| ( epred1_0 @ ( esk1_0 @ X6 ) @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_8,negated_conjecture,
! [X6: a > $o,X3: a] :
( ( epred1_0 @ X3 @ ( esk1_0 @ X6 ) )
| ~ ( X6 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_9,negated_conjecture,
! [X3: a,X21: a > a,X9: a > a,X4: a] :
( ( epred1_0
@ ( X9
@ ( esk2_2
@ ^ [Z0: a] : ( epred1_0 @ ( X9 @ Z0 ) @ ( esk3_0 @ ( X21 @ Z0 ) ) )
@ X3 ) )
@ ( esk3_0 @ X4 ) )
| ( epred1_0
@ ( esk1_0
@ ^ [Z0: a] : ( epred1_0 @ ( X9 @ Z0 ) @ ( esk3_0 @ ( X21 @ Z0 ) ) ) )
@ X3 )
| ~ ( epred1_0
@ ( X21
@ ( esk2_2
@ ^ [Z0: a] : ( epred1_0 @ ( X9 @ Z0 ) @ ( esk3_0 @ ( X21 @ Z0 ) ) )
@ X3 ) )
@ X4 ) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_10,negated_conjecture,
! [X1: a > a > $o,X3: a] :
( ( epred1_0
@ ( esk2_2
@ ^ [Z0: a] : ( X1 @ Z0 @ Z0 )
@ X3 )
@ ( esk1_0
@ ^ [Z0: a] : ( X1 @ Z0 @ Z0 ) ) )
| ( epred1_0
@ ( esk1_0
@ ^ [Z0: a] : ( X1 @ Z0 @ Z0 ) )
@ X3 ) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
thf(c_0_11,negated_conjecture,
! [X6: a > $o,X3: a] :
( ( epred1_0 @ ( esk1_0 @ X6 ) @ X3 )
| ~ ( epred1_0 @ ( esk2_2 @ X6 @ X3 ) @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_12,negated_conjecture,
! [X3: a] :
( ( epred1_0
@ ( esk2_2
@ ^ [Z0: a] : ( epred1_0 @ Z0 @ ( esk3_0 @ Z0 ) )
@ X3 )
@ ( esk3_0
@ ( esk1_0
@ ^ [Z0: a] : ( epred1_0 @ Z0 @ ( esk3_0 @ Z0 ) ) ) ) )
| ( epred1_0
@ ( esk1_0
@ ^ [Z0: a] : ( epred1_0 @ Z0 @ ( esk3_0 @ Z0 ) ) )
@ X3 ) ),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
thf(c_0_13,negated_conjecture,
! [X9: a > a,X3: a] :
( ( epred1_0 @ ( esk3_0 @ X3 )
@ ( esk1_0
@ ^ [Z0: a] : ( epred1_0 @ Z0 @ ( esk3_0 @ ( X9 @ Z0 ) ) ) ) )
| ~ ( epred1_0 @ X3 @ ( X9 @ ( esk3_0 @ X3 ) ) ) ),
inference(spm,[status(thm)],[c_0_8,c_0_5]) ).
thf(c_0_14,negated_conjecture,
( epred1_0
@ ( esk1_0
@ ^ [Z0: a] : ( epred1_0 @ Z0 @ ( esk3_0 @ Z0 ) ) )
@ ( esk3_0
@ ( esk1_0
@ ^ [Z0: a] : ( epred1_0 @ Z0 @ ( esk3_0 @ Z0 ) ) ) ) ),
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
thf(c_0_15,negated_conjecture,
! [X3: a] :
( ~ ( epred1_0 @ X3 @ ( esk3_0 @ X3 ) )
| ~ ( epred1_0 @ ( esk3_0 @ X3 ) @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_16,negated_conjecture,
( epred1_0
@ ( esk3_0
@ ( esk1_0
@ ^ [Z0: a] : ( epred1_0 @ Z0 @ ( esk3_0 @ Z0 ) ) ) )
@ ( esk1_0
@ ^ [Z0: a] : ( epred1_0 @ Z0 @ ( esk3_0 @ Z0 ) ) ) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEV317^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.27 % Computer : n004.cluster.edu
% 0.13/0.27 % Model : x86_64 x86_64
% 0.13/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.27 % Memory : 8046.5625MB
% 0.13/0.27 % OS : Linux 6.8.0-71-generic
% 0.13/0.28 % CPULimit : 300
% 0.13/0.28 % WCLimit : 300
% 0.13/0.28 % DateTime : Tue Sep 29 15:34:22 UTC 2026
% 0.13/0.28 % CPUTime :
% 0.13/0.28 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.35 Running higher-order theorem proving
% 0.28/0.37 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.OhXahNcgCH/E---3.1_1437225.p
% 254.36/37.28 % Version: 3.5.1-ho
% 254.36/37.28 % Preprocessing class: HSMSSMSSSSSNHHA.
% 254.36/37.28 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 254.36/37.28 % Starting full_lambda_6 with 900s (3) cores
% 254.36/37.28 % Starting post_as_ho1 with 300s (1) cores
% 254.36/37.28 % Starting lpo6_lambda_fix with 300s (1) cores
% 254.36/37.28 % Starting ho_unfolding_1 with 300s (1) cores
% 254.36/37.28 % Starting new_ho_10_unif with 300s (1) cores
% 254.36/37.28 % Starting ho_unfolding_2 with 300s (1) cores
% 254.36/37.28 % new_ho_10_unif with pid 1437242 completed with status 0
% 254.36/37.28 % Result found by new_ho_10_unif
% 254.36/37.28 % Preprocessing class: HSMSSMSSSSSNHHA.
% 254.36/37.28 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 254.36/37.28 % Starting full_lambda_6 with 900s (3) cores
% 254.36/37.28 % Starting post_as_ho1 with 300s (1) cores
% 254.36/37.28 % Starting lpo6_lambda_fix with 300s (1) cores
% 254.36/37.28 % Starting ho_unfolding_1 with 300s (1) cores
% 254.36/37.28 % Starting new_ho_10_unif with 300s (1) cores
% 254.36/37.28 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 254.36/37.28 % No SInE strategy applied
% 254.36/37.28 % Search class: HGHNF-FFSF22-SHHFFSBN
% 254.36/37.28 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 254.36/37.28 % Starting SubtermCWHack with 31s (1) cores
% 254.36/37.28 % SubtermCWHack with pid 1437250 completed with status 8
% 254.36/37.28 % Starting new_ho_10_unif with 100s (1) cores
% 254.36/37.28 % new_ho_10_unif with pid 1437298 completed with status 0
% 254.36/37.28 % Result found by new_ho_10_unif
% 254.36/37.28 % Preprocessing class: HSMSSMSSSSSNHHA.
% 254.36/37.28 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 254.36/37.28 % Starting full_lambda_6 with 900s (3) cores
% 254.36/37.28 % Starting post_as_ho1 with 300s (1) cores
% 254.36/37.28 % Starting lpo6_lambda_fix with 300s (1) cores
% 254.36/37.28 % Starting ho_unfolding_1 with 300s (1) cores
% 254.36/37.28 % Starting new_ho_10_unif with 300s (1) cores
% 254.36/37.28 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 254.36/37.28 % No SInE strategy applied
% 254.36/37.28 % Search class: HGHNF-FFSF22-SHHFFSBN
% 254.36/37.28 % Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 254.36/37.28 % Starting SubtermCWHack with 31s (1) cores
% 254.36/37.28 % SubtermCWHack with pid 1437250 completed with status 8
% 254.36/37.28 % Starting new_ho_10_unif with 100s (1) cores
% 254.36/37.28 % Preprocessing time : 0.001 s
% 254.36/37.28 % Presaturation interreduction done
% 254.36/37.28
% 254.36/37.28 % Proof found!
% 254.36/37.28 % SZS status Theorem
% 254.36/37.28 % SZS output start CNFRefutation
% See solution above
% 254.36/37.28 % Parsed axioms : 2
% 254.36/37.28 % Removed by relevancy pruning/SinE : 0
% 254.36/37.28 % Initial clauses : 7
% 254.36/37.28 % Removed in clause preprocessing : 1
% 254.36/37.28 % Initial clauses in saturation : 6
% 254.36/37.28 % Processed clauses : 865
% 254.36/37.28 % ...of these trivial : 128
% 254.36/37.28 % ...subsumed : 272
% 254.36/37.28 % ...remaining for further processing : 465
% 254.36/37.28 % Other redundant clauses eliminated : 0
% 254.36/37.28 % Clauses deleted for lack of memory : 0
% 254.36/37.28 % Backward-subsumed : 29
% 254.36/37.28 % Backward-rewritten : 47
% 254.36/37.28 % Generated clauses : 48580
% 254.36/37.28 % ...of the previous two non-redundant : 41700
% 254.36/37.28 % ...aggressively subsumed : 0
% 254.36/37.28 % Contextual simplify-reflections : 0
% 254.36/37.28 % Paramodulations : 48396
% 254.36/37.28 % Factorizations : 183
% 254.36/37.28 % NegExts : 0
% 254.36/37.28 % Equation resolutions : 1
% 254.36/37.28 % Disequality decompositions : 0
% 254.36/37.28 % Total rewrite steps : 7285
% 254.36/37.28 % ...of those cached : 6320
% 254.36/37.28 % Propositional unsat checks : 0
% 254.36/37.28 % Propositional check models : 0
% 254.36/37.28 % Propositional check unsatisfiable : 0
% 254.36/37.28 % Propositional clauses : 0
% 254.36/37.28 % Propositional clauses after purity: 0
% 254.36/37.28 % Propositional unsat core size : 0
% 254.36/37.28 % Propositional preprocessing time : 0.000
% 254.36/37.28 % Propositional encoding time : 0.000
% 254.36/37.28 % Propositional solver time : 0.000
% 254.36/37.28 % Success case prop preproc time : 0.000
% 254.36/37.28 % Success case prop encoding time : 0.000
% 254.36/37.28 % Success case prop solver time : 0.000
% 254.36/37.28 % Current number of processed clauses : 383
% 254.36/37.28 % Positive orientable unit clauses : 92
% 254.36/37.28 % Positive unorientable unit clauses: 0
% 254.36/37.28 % Negative unit clauses : 15
% 254.36/37.28 % Non-unit-clauses : 276
% 254.36/37.28 % Current number of unprocessed clauses: 40342
% 254.36/37.28 % ...number of literals in the above : 125900
% 254.36/37.28 % Current number of archived formulas : 0
% 254.36/37.28 % Current number of archived clauses : 82
% 254.36/37.28 % Clause-clause subsumption calls (NU) : 11966
% 254.36/37.28 % Rec. Clause-clause subsumption calls : 10032
% 254.36/37.28 % Non-unit clause-clause subsumptions : 293
% 254.36/37.28 % Unit Clause-clause subsumption calls : 2671
% 254.36/37.28 % Rewrite failures with RHS unbound : 0
% 254.36/37.28 % BW rewrite match attempts : 2202
% 254.36/37.28 % BW rewrite match successes : 57
% 254.36/37.28 % Condensation attempts : 865
% 254.36/37.28 % Condensation successes : 9
% 254.36/37.28 % Termbank termtop insertions : 12460822
% 254.36/37.28 % Search garbage collected termcells : 404
% 254.36/37.28
% 254.36/37.28 % -------------------------------------------------
% 254.36/37.28 % User time : 35.546 s
% 254.36/37.28 % System time : 1.036 s
% 254.36/37.28 % Total time : 36.582 s
% 254.36/37.28 % Maximum resident set size: 3584 pages
% 254.36/37.28
% 254.36/37.28 % -------------------------------------------------
% 254.36/37.28 % User time : 35.548 s
% 254.36/37.28 % System time : 1.042 s
% 254.36/37.28 % Total time : 36.590 s
% 254.36/37.28 % Maximum resident set size: 4608 pages
% 254.36/37.28 % E exiting
%------------------------------------------------------------------------------