%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV189^5 : 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 : n016.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 08:35:10 AM UTC 2026
% Result : Theorem 0.12s 0.28s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 1
% Syntax : Number of formulae : 21 ( 1 unt; 0 typ; 0 def)
% Number of atoms : 104 ( 0 equ; 0 cnn)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 253 ( 22 ~; 20 |; 15 &; 149 @)
% ( 0 <=>; 47 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 68 ( 68 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 5 usr; 1 con; 0-2 aty)
% Number of variables : 79 ( 26 ^; 53 !; 0 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
b: $tType ).
thf(decl_23,type,
cQ: ( b > $o ) > $o ).
thf(decl_24,type,
cP: ( b > $o ) > $o ).
thf(decl_25,type,
epred1_1: ( ( b > $o ) > $o ) > b > $o ).
thf(decl_26,type,
epred2_1: ( ( b > $o ) > $o ) > b > $o ).
thf(decl_27,type,
epred3_0: ( b > $o ) > $o ).
thf(cTHM567_pme,conjecture,
( ( ! [X1: ( b > $o ) > $o] :
( ! [X2: b > $o] :
( ( X1 @ X2 )
=> ( cP @ X2 ) )
=> ( cP
@ ^ [X3: b] :
! [X4: b > $o] :
( ( X1 @ X4 )
=> ( X4 @ X3 ) ) ) )
& ! [X1: ( b > $o ) > $o] :
( ! [X2: b > $o] :
( ( X1 @ X2 )
=> ( cQ @ X2 ) )
=> ( cQ
@ ^ [X5: b] :
! [X4: b > $o] :
( ( X1 @ X4 )
=> ( X4 @ X5 ) ) ) ) )
=> ! [X1: ( b > $o ) > $o] :
( ! [X2: b > $o] :
( ( X1 @ X2 )
=> ( ( cP @ X2 )
& ( cQ @ X2 ) ) )
=> ( ( cP
@ ^ [X6: b] :
! [X4: b > $o] :
( ( X1 @ X4 )
=> ( X4 @ X6 ) ) )
& ( cQ
@ ^ [X7: b] :
! [X4: b > $o] :
( ( X1 @ X4 )
=> ( X4 @ X7 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.JKL3P866N8/E---3.1_481510.p',cTHM567_pme) ).
thf(c_0_1,negated_conjecture,
~ ( ( ! [X1: ( b > $o ) > $o] :
( ! [X2: b > $o] :
( ( X1 @ X2 )
=> ( cP @ X2 ) )
=> ( cP
@ ^ [X3: b] :
! [X4: b > $o] :
( ( X1 @ X4 )
=> ( X4 @ X3 ) ) ) )
& ! [X1: ( b > $o ) > $o] :
( ! [X2: b > $o] :
( ( X1 @ X2 )
=> ( cQ @ X2 ) )
=> ( cQ
@ ^ [X5: b] :
! [X4: b > $o] :
( ( X1 @ X4 )
=> ( X4 @ X5 ) ) ) ) )
=> ! [X1: ( b > $o ) > $o] :
( ! [X2: b > $o] :
( ( X1 @ X2 )
=> ( ( cP @ X2 )
& ( cQ @ X2 ) ) )
=> ( ( cP
@ ^ [X6: b] :
! [X4: b > $o] :
( ( X1 @ X4 )
=> ( X4 @ X6 ) ) )
& ( cQ
@ ^ [X7: b] :
! [X4: b > $o] :
( ( X1 @ X4 )
=> ( X4 @ X7 ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[cTHM567_pme]) ).
thf(c_0_2,negated_conjecture,
~ ( ( ! [X1: ( b > $o ) > $o] :
( ! [X2: b > $o] :
( ( X1 @ X2 )
=> ( cP @ X2 ) )
=> ( cP
@ ^ [Z0: b] :
! [X4: b > $o] :
( ( X1 @ X4 )
=> ( X4 @ Z0 ) ) ) )
& ! [X1: ( b > $o ) > $o] :
( ! [X2: b > $o] :
( ( X1 @ X2 )
=> ( cQ @ X2 ) )
=> ( cQ
@ ^ [Z0: b] :
! [X4: b > $o] :
( ( X1 @ X4 )
=> ( X4 @ Z0 ) ) ) ) )
=> ! [X1: ( b > $o ) > $o] :
( ! [X2: b > $o] :
( ( X1 @ X2 )
=> ( ( cP @ X2 )
& ( cQ @ X2 ) ) )
=> ( ( cP
@ ^ [Z0: b] :
! [X4: b > $o] :
( ( X1 @ X4 )
=> ( X4 @ Z0 ) ) )
& ( cQ
@ ^ [Z0: b] :
! [X4: b > $o] :
( ( X1 @ X4 )
=> ( X4 @ Z0 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
! [X14: ( b > $o ) > $o,X16: ( b > $o ) > $o,X19: b > $o] :
( ( ( X14 @ ( epred1_1 @ X14 ) )
| ( cP
@ ^ [Z0: b] :
! [X4: b > $o] :
( ( X14 @ X4 )
=> ( X4 @ Z0 ) ) ) )
& ( ~ ( cP @ ( epred1_1 @ X14 ) )
| ( cP
@ ^ [Z0: b] :
! [X4: b > $o] :
( ( X14 @ X4 )
=> ( X4 @ Z0 ) ) ) )
& ( ( X16 @ ( epred2_1 @ X16 ) )
| ( cQ
@ ^ [Z0: b] :
! [X4: b > $o] :
( ( X16 @ X4 )
=> ( X4 @ Z0 ) ) ) )
& ( ~ ( cQ @ ( epred2_1 @ X16 ) )
| ( cQ
@ ^ [Z0: b] :
! [X4: b > $o] :
( ( X16 @ X4 )
=> ( X4 @ Z0 ) ) ) )
& ( ( cP @ X19 )
| ~ ( epred3_0 @ X19 ) )
& ( ( cQ @ X19 )
| ~ ( epred3_0 @ X19 ) )
& ( ~ ( cP
@ ^ [Z0: b] :
! [X4: b > $o] :
( ( epred3_0 @ X4 )
=> ( X4 @ Z0 ) ) )
| ~ ( cQ
@ ^ [Z0: b] :
! [X4: b > $o] :
( ( epred3_0 @ X4 )
=> ( X4 @ Z0 ) ) ) ) ),
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,
( ~ ( cP
@ ^ [Z0: b] :
! [X20: b > $o] :
( ( epred3_0 @ X20 )
=> ( X20 @ Z0 ) ) )
| ~ ( cQ
@ ^ [Z0: b] :
! [X21: b > $o] :
( ( epred3_0 @ X21 )
=> ( X21 @ Z0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
! [X1: ( b > $o ) > $o] :
( ( X1 @ ( epred2_1 @ X1 ) )
| ( cQ
@ ^ [Z0: b] :
! [X22: b > $o] :
( ( X1 @ X22 )
=> ( X22 @ Z0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_6,negated_conjecture,
! [X1: ( b > $o ) > $o] :
( ( cQ
@ ^ [Z0: b] :
! [X23: b > $o] :
( ( X1 @ X23 )
=> ( X23 @ Z0 ) ) )
| ~ ( cQ @ ( epred2_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_7,negated_conjecture,
( ( epred3_0 @ ( epred2_1 @ epred3_0 ) )
| ~ ( cP
@ ^ [Z0: b] :
! [X24: b > $o] :
( ( epred3_0 @ X24 )
=> ( X24 @ Z0 ) ) ) ),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
thf(c_0_8,negated_conjecture,
! [X1: ( b > $o ) > $o] :
( ( cP
@ ^ [Z0: b] :
! [X25: b > $o] :
( ( X1 @ X25 )
=> ( X25 @ Z0 ) ) )
| ~ ( cP @ ( epred1_1 @ X1 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_9,negated_conjecture,
! [X1: ( b > $o ) > $o] :
( ( X1 @ ( epred1_1 @ X1 ) )
| ( cP
@ ^ [Z0: b] :
! [X26: b > $o] :
( ( X1 @ X26 )
=> ( X26 @ Z0 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_10,negated_conjecture,
( ~ ( cP
@ ^ [Z0: b] :
! [X27: b > $o] :
( ( epred3_0 @ X27 )
=> ( X27 @ Z0 ) ) )
| ~ ( cQ @ ( epred2_1 @ epred3_0 ) ) ),
inference(spm,[status(thm)],[c_0_4,c_0_6]) ).
thf(c_0_11,negated_conjecture,
( ( epred3_0 @ ( epred2_1 @ epred3_0 ) )
| ~ ( cP @ ( epred1_1 @ epred3_0 ) ) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_12,negated_conjecture,
! [X2: b > $o] :
( ( cP @ X2 )
| ~ ( epred3_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_13,negated_conjecture,
( ( epred3_0 @ ( epred1_1 @ epred3_0 ) )
| ( epred3_0 @ ( epred2_1 @ epred3_0 ) ) ),
inference(spm,[status(thm)],[c_0_7,c_0_9]) ).
thf(c_0_14,negated_conjecture,
( ~ ( cQ @ ( epred2_1 @ epred3_0 ) )
| ~ ( cP @ ( epred1_1 @ epred3_0 ) ) ),
inference(spm,[status(thm)],[c_0_10,c_0_8]) ).
thf(c_0_15,negated_conjecture,
! [X2: b > $o] :
( ( cQ @ X2 )
| ~ ( epred3_0 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_16,negated_conjecture,
epred3_0 @ ( epred2_1 @ epred3_0 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).
thf(c_0_17,negated_conjecture,
( ( epred3_0 @ ( epred1_1 @ epred3_0 ) )
| ~ ( cQ @ ( epred2_1 @ epred3_0 ) ) ),
inference(spm,[status(thm)],[c_0_10,c_0_9]) ).
thf(c_0_18,negated_conjecture,
~ ( cP @ ( epred1_1 @ epred3_0 ) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
thf(c_0_19,negated_conjecture,
epred3_0 @ ( epred1_1 @ epred3_0 ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_15]),c_0_16])]) ).
thf(c_0_20,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_12]),c_0_19])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV189^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.19 % Computer : n016.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 15:24:35 UTC 2026
% 0.12/0.20 % CPUTime :
% 0.12/0.20 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.24 Running higher-order theorem proving
% 0.12/0.25 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.JKL3P866N8/E---3.1_481510.p
% 0.12/0.28 % Version: 3.5.1-ho
% 0.12/0.28 % Preprocessing class: HSMSSMSSSSMNHHA.
% 0.12/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.28 % Starting ehoh_best4_fo with 1200s (4) cores
% 0.12/0.28 % Starting ehoh_best_nonlift_rwall with 600s (2) cores
% 0.12/0.28 % Starting lpo1_lambda_fix with 300s (1) cores
% 0.12/0.28 % Starting full_lambda_9 with 300s (1) cores
% 0.12/0.28 % lpo1_lambda_fix with pid 481544 completed with status 0
% 0.12/0.28 % Result found by lpo1_lambda_fix
% 0.12/0.28 % Preprocessing class: HSMSSMSSSSMNHHA.
% 0.12/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.28 % Starting ehoh_best4_fo with 1200s (4) cores
% 0.12/0.28 % Starting ehoh_best_nonlift_rwall with 600s (2) cores
% 0.12/0.28 % Starting lpo1_lambda_fix with 300s (1) cores
% 0.12/0.28 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = Auto)
% 0.12/0.28 % No SInE strategy applied
% 0.12/0.28 % Search class: HGHNF-FFSF00-MHHFFSBN
% 0.12/0.28 % partial match(1): HGHNF-FFSF00-SHHFFSBN
% 0.12/0.28 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.28 % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.28 % SubtermCWHack with pid 481549 completed with status 0
% 0.12/0.28 % Result found by SubtermCWHack
% 0.12/0.28 % Preprocessing class: HSMSSMSSSSMNHHA.
% 0.12/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.28 % Starting ehoh_best4_fo with 1200s (4) cores
% 0.12/0.28 % Starting ehoh_best_nonlift_rwall with 600s (2) cores
% 0.12/0.28 % Starting lpo1_lambda_fix with 300s (1) cores
% 0.12/0.28 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 0, sine = Auto)
% 0.12/0.28 % No SInE strategy applied
% 0.12/0.28 % Search class: HGHNF-FFSF00-MHHFFSBN
% 0.12/0.28 % partial match(1): HGHNF-FFSF00-SHHFFSBN
% 0.12/0.28 % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.28 % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.28 % Preprocessing time : 0.001 s
% 0.12/0.28
% 0.12/0.28 % Proof found!
% 0.12/0.28 % SZS status Theorem
% 0.12/0.28 % SZS output start CNFRefutation
% See solution above
% 0.12/0.28 % Parsed axioms : 4
% 0.12/0.28 % Removed by relevancy pruning/SinE : 0
% 0.12/0.28 % Initial clauses : 10
% 0.12/0.28 % Removed in clause preprocessing : 3
% 0.12/0.28 % Initial clauses in saturation : 7
% 0.12/0.28 % Processed clauses : 18
% 0.12/0.28 % ...of these trivial : 0
% 0.12/0.28 % ...subsumed : 0
% 0.12/0.28 % ...remaining for further processing : 18
% 0.12/0.28 % Other redundant clauses eliminated : 0
% 0.12/0.28 % Clauses deleted for lack of memory : 0
% 0.12/0.28 % Backward-subsumed : 2
% 0.12/0.28 % Backward-rewritten : 4
% 0.12/0.28 % Generated clauses : 16
% 0.12/0.28 % ...of the previous two non-redundant : 15
% 0.12/0.28 % ...aggressively subsumed : 0
% 0.12/0.28 % Contextual simplify-reflections : 1
% 0.12/0.28 % Paramodulations : 16
% 0.12/0.28 % Factorizations : 0
% 0.12/0.28 % NegExts : 0
% 0.12/0.28 % Equation resolutions : 0
% 0.12/0.28 % Disequality decompositions : 0
% 0.12/0.28 % Total rewrite steps : 7
% 0.12/0.28 % ...of those cached : 5
% 0.12/0.28 % Propositional unsat checks : 0
% 0.12/0.28 % Propositional check models : 0
% 0.12/0.28 % Propositional check unsatisfiable : 0
% 0.12/0.28 % Propositional clauses : 0
% 0.12/0.28 % Propositional clauses after purity: 0
% 0.12/0.28 % Propositional unsat core size : 0
% 0.12/0.28 % Propositional preprocessing time : 0.000
% 0.12/0.28 % Propositional encoding time : 0.000
% 0.12/0.28 % Propositional solver time : 0.000
% 0.12/0.28 % Success case prop preproc time : 0.000
% 0.12/0.28 % Success case prop encoding time : 0.000
% 0.12/0.28 % Success case prop solver time : 0.000
% 0.12/0.28 % Current number of processed clauses : 12
% 0.12/0.28 % Positive orientable unit clauses : 2
% 0.12/0.28 % Positive unorientable unit clauses: 0
% 0.12/0.28 % Negative unit clauses : 2
% 0.12/0.28 % Non-unit-clauses : 8
% 0.12/0.28 % Current number of unprocessed clauses: 4
% 0.12/0.28 % ...number of literals in the above : 8
% 0.12/0.28 % Current number of archived formulas : 0
% 0.12/0.28 % Current number of archived clauses : 6
% 0.12/0.28 % Clause-clause subsumption calls (NU) : 12
% 0.12/0.28 % Rec. Clause-clause subsumption calls : 12
% 0.12/0.28 % Non-unit clause-clause subsumptions : 1
% 0.12/0.28 % Unit Clause-clause subsumption calls : 3
% 0.12/0.28 % Rewrite failures with RHS unbound : 0
% 0.12/0.28 % BW rewrite match attempts : 2
% 0.12/0.28 % BW rewrite match successes : 2
% 0.12/0.28 % Condensation attempts : 0
% 0.12/0.28 % Condensation successes : 0
% 0.12/0.28 % Termbank termtop insertions : 1904
% 0.12/0.28 % Search garbage collected termcells : 284
% 0.12/0.28
% 0.12/0.28 % -------------------------------------------------
% 0.12/0.28 % User time : 0.006 s
% 0.12/0.28 % System time : 0.002 s
% 0.12/0.28 % Total time : 0.008 s
% 0.12/0.28 % Maximum resident set size: 3636 pages
% 0.12/0.28
% 0.12/0.28 % -------------------------------------------------
% 0.12/0.28 % User time : 0.007 s
% 0.12/0.28 % System time : 0.007 s
% 0.12/0.28 % Total time : 0.014 s
% 0.12/0.28 % Maximum resident set size: 4864 pages
% 0.12/0.28 % E exiting
%------------------------------------------------------------------------------