%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEV175^5 : 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 : n014.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 08:35:09 AM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 1
% Syntax : Number of formulae : 10 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 15 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 84 ( 17 ~; 3 |; 11 &; 53 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 20 ( 20 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 24 ( 7 ^; 6 !; 11 ?; 24 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_23,type,
esk1_0: ( $i > $o ) > $i ).
thf(decl_24,type,
epred1_0: $i > $o ).
thf(cTHM144A_pme,conjecture,
! [X1: ( $i > $o ) > $i] :
? [X2: $i > $o] :
( ~ ( X2 @ ( X1 @ X2 ) )
& ( ( X1
@ ^ [X3: $i] :
? [X4: $i > $o] :
( ~ ( X4 @ ( X1 @ X4 ) )
& ( X3
= ( X1 @ X4 ) ) ) )
= ( X1 @ X2 ) ) ),
file('/export/starexec/sandbox/tmp/tmp.kkP07WnxrG/E---3.1_2792726.p',cTHM144A_pme) ).
thf(c_0_1,negated_conjecture,
~ ! [X1: ( $i > $o ) > $i] :
? [X2: $i > $o] :
( ~ ( X2 @ ( X1 @ X2 ) )
& ( ( X1
@ ^ [X3: $i] :
? [X4: $i > $o] :
( ~ ( X4 @ ( X1 @ X4 ) )
& ( X3
= ( X1 @ X4 ) ) ) )
= ( X1 @ X2 ) ) ),
inference(assume_negation,[status(cth)],[cTHM144A_pme]) ).
thf(c_0_2,negated_conjecture,
~ ! [X1: ( $i > $o ) > $i] :
? [X2: $i > $o] :
( ~ ( X2 @ ( X1 @ X2 ) )
& ( ( X1
@ ^ [Z0: $i] :
? [X4: $i > $o] :
( ~ ( X4 @ ( X1 @ X4 ) )
& ( Z0
= ( X1 @ X4 ) ) ) )
= ( X1 @ X2 ) ) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
thf(c_0_3,negated_conjecture,
! [X8: $i > $o] :
( ( X8 @ ( esk1_0 @ X8 ) )
| ( ( esk1_0
@ ^ [Z0: $i] :
? [X4: $i > $o] :
( ~ ( X4 @ ( esk1_0 @ X4 ) )
& ( Z0
= ( esk1_0 @ X4 ) ) ) )
!= ( esk1_0 @ X8 ) ) ),
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,
! [X2: $i > $o] :
( ( X2 @ ( esk1_0 @ X2 ) )
| ( ( esk1_0
@ ^ [Z0: $i] :
? [X12: $i > $o] :
( ~ ( X12 @ ( esk1_0 @ X12 ) )
& ( Z0
= ( esk1_0 @ X12 ) ) ) )
!= ( esk1_0 @ X2 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
? [X13: $i > $o] :
( ~ ( X13 @ ( esk1_0 @ X13 ) )
& ( ( esk1_0
@ ^ [Z0: $i] :
? [X14: $i > $o] :
( ~ ( X14 @ ( esk1_0 @ X14 ) )
& ( Z0
= ( esk1_0 @ X14 ) ) ) )
= ( esk1_0 @ X13 ) ) ),
inference(er,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
( ( esk1_0
@ ^ [Z0: $i] :
? [X15: $i > $o] :
( ~ ( X15 @ ( esk1_0 @ X15 ) )
& ( Z0
= ( esk1_0 @ X15 ) ) ) )
= ( esk1_0 @ epred1_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_5]) ).
thf(c_0_7,negated_conjecture,
~ ( epred1_0 @ ( esk1_0 @ epred1_0 ) ),
inference(dynamic_cnf,[status(thm)],[c_0_5]) ).
thf(c_0_8,negated_conjecture,
! [X2: $i > $o] :
( ( X2 @ ( esk1_0 @ X2 ) )
| ( ( esk1_0 @ epred1_0 )
!= ( esk1_0 @ X2 ) ) ),
inference(rw,[status(thm)],[c_0_4,c_0_6]) ).
thf(c_0_9,negated_conjecture,
$false,
inference(spm,[status(thm)],[c_0_7,c_0_8]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV175^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n014.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 15:18:14 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running higher-order theorem proving
% 0.08/0.24 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.kkP07WnxrG/E---3.1_2792726.p
% 0.08/0.26 % Version: 3.5.1-ho
% 0.08/0.26 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.08/0.26 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.26 % Starting sh2lt with 1200s (4) cores
% 0.08/0.26 % Starting new_ho_10_unif with 300s (1) cores
% 0.08/0.26 % Starting full_lambda_6 with 300s (1) cores
% 0.08/0.26 % Starting post_as_ho1 with 300s (1) cores
% 0.08/0.26 % Starting ehoh_best3_rw with 300s (1) cores
% 0.08/0.26 % new_ho_10_unif with pid 2792756 completed with status 0
% 0.08/0.26 % Result found by new_ho_10_unif
% 0.08/0.26 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.08/0.26 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.26 % Starting sh2lt with 1200s (4) cores
% 0.08/0.26 % Starting new_ho_10_unif with 300s (1) cores
% 0.08/0.26 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.26 % No SInE strategy applied
% 0.08/0.26 % Search class: HHUSF-FFSF00-DHHFFMBN
% 0.08/0.26 % partial match(3): HGUNF-FFSF00-SHHFFMBN
% 0.08/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.26 % SubtermCWHack with pid 2792760 completed with status 0
% 0.08/0.26 % Result found by SubtermCWHack
% 0.08/0.26 % Preprocessing class: HSSSSMSSSSSNHHA.
% 0.08/0.26 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.26 % Starting sh2lt with 1200s (4) cores
% 0.08/0.26 % Starting new_ho_10_unif with 300s (1) cores
% 0.08/0.26 % (lift_lambdas = 0, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.26 % No SInE strategy applied
% 0.08/0.26 % Search class: HHUSF-FFSF00-DHHFFMBN
% 0.08/0.26 % partial match(3): HGUNF-FFSF00-SHHFFMBN
% 0.08/0.26 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.26 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.26 % Preprocessing time : 0.001 s
% 0.08/0.26
% 0.08/0.26 % Proof found!
% 0.08/0.26 % SZS status Theorem
% 0.08/0.26 % SZS output start CNFRefutation
% See solution above
% 0.08/0.26 % Parsed axioms : 1
% 0.08/0.26 % Removed by relevancy pruning/SinE : 0
% 0.08/0.26 % Initial clauses : 1
% 0.08/0.26 % Removed in clause preprocessing : 0
% 0.08/0.26 % Initial clauses in saturation : 1
% 0.08/0.26 % Processed clauses : 5
% 0.08/0.26 % ...of these trivial : 0
% 0.08/0.26 % ...subsumed : 0
% 0.08/0.26 % ...remaining for further processing : 5
% 0.08/0.26 % Other redundant clauses eliminated : 0
% 0.08/0.26 % Clauses deleted for lack of memory : 0
% 0.08/0.26 % Backward-subsumed : 0
% 0.08/0.26 % Backward-rewritten : 1
% 0.08/0.26 % Generated clauses : 5
% 0.08/0.26 % ...of the previous two non-redundant : 4
% 0.08/0.26 % ...aggressively subsumed : 0
% 0.08/0.26 % Contextual simplify-reflections : 0
% 0.08/0.26 % Paramodulations : 2
% 0.08/0.26 % Factorizations : 0
% 0.08/0.26 % NegExts : 0
% 0.08/0.26 % Equation resolutions : 1
% 0.08/0.26 % Disequality decompositions : 0
% 0.08/0.26 % Total rewrite steps : 1
% 0.08/0.26 % ...of those cached : 0
% 0.08/0.26 % Propositional unsat checks : 0
% 0.08/0.26 % Propositional check models : 0
% 0.08/0.26 % Propositional check unsatisfiable : 0
% 0.08/0.26 % Propositional clauses : 0
% 0.08/0.26 % Propositional clauses after purity: 0
% 0.08/0.26 % Propositional unsat core size : 0
% 0.08/0.26 % Propositional preprocessing time : 0.000
% 0.08/0.26 % Propositional encoding time : 0.000
% 0.08/0.26 % Propositional solver time : 0.000
% 0.08/0.26 % Success case prop preproc time : 0.000
% 0.08/0.26 % Success case prop encoding time : 0.000
% 0.08/0.26 % Success case prop solver time : 0.000
% 0.08/0.26 % Current number of processed clauses : 3
% 0.08/0.26 % Positive orientable unit clauses : 1
% 0.08/0.26 % Positive unorientable unit clauses: 0
% 0.08/0.26 % Negative unit clauses : 1
% 0.08/0.26 % Non-unit-clauses : 1
% 0.08/0.26 % Current number of unprocessed clauses: 0
% 0.08/0.26 % ...number of literals in the above : 0
% 0.08/0.26 % Current number of archived formulas : 0
% 0.08/0.26 % Current number of archived clauses : 2
% 0.08/0.26 % Clause-clause subsumption calls (NU) : 0
% 0.08/0.26 % Rec. Clause-clause subsumption calls : 0
% 0.08/0.26 % Non-unit clause-clause subsumptions : 0
% 0.08/0.26 % Unit Clause-clause subsumption calls : 0
% 0.08/0.26 % Rewrite failures with RHS unbound : 0
% 0.08/0.26 % BW rewrite match attempts : 1
% 0.08/0.26 % BW rewrite match successes : 1
% 0.08/0.26 % Condensation attempts : 0
% 0.08/0.26 % Condensation successes : 0
% 0.08/0.26 % Termbank termtop insertions : 862
% 0.08/0.26 % Search garbage collected termcells : 63
% 0.08/0.26
% 0.08/0.26 % -------------------------------------------------
% 0.08/0.26 % User time : 0.002 s
% 0.08/0.26 % System time : 0.002 s
% 0.08/0.26 % Total time : 0.004 s
% 0.08/0.26 % Maximum resident set size: 3632 pages
% 0.08/0.26
% 0.08/0.26 % -------------------------------------------------
% 0.08/0.26 % User time : 0.004 s
% 0.08/0.26 % System time : 0.006 s
% 0.08/0.26 % Total time : 0.010 s
% 0.08/0.26 % Maximum resident set size: 4864 pages
% 0.08/0.26 % E exiting
%------------------------------------------------------------------------------