%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : SEU494^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 08:26:18 AM UTC 2026
% Result : Theorem 0.08s 0.28s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 70 ( 9 equ; 0 cnn)
% Maximal formula atoms : 17 ( 2 avg)
% Number of connectives : 235 ( 23 ~; 21 |; 18 &; 158 @)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 6 con; 0-3 aty)
% Number of variables : 58 ( 13 ^; 45 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_24,type,
inv: ( $i > $i > $o ) > $i > $i > $o ).
thf(decl_33,type,
asymm: ( $i > $i > $o ) > $o ).
thf(decl_35,type,
trans: ( $i > $i > $o ) > $o ).
thf(decl_40,type,
so: ( $i > $i > $o ) > $o ).
thf(decl_52,type,
epred1_0: $i > $i > $o ).
thf(decl_53,type,
esk1_0: $i ).
thf(decl_54,type,
esk2_0: $i ).
thf(decl_55,type,
esk3_0: $i ).
thf(decl_56,type,
esk4_0: $i ).
thf(decl_57,type,
esk5_0: $i ).
thf(strict_order,axiom,
( so
= ( ^ [X1: $i > $i > $o] :
( ( asymm @ X1 )
& ( trans @ X1 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.hsCH8iA3vy/E---3.1_2134893.p',strict_order) ).
thf(asymmetric,axiom,
( asymm
= ( ^ [X1: $i > $i > $o] :
! [X3: $i,X4: $i] :
( ( X1 @ X3 @ X4 )
=> ~ ( X1 @ X4 @ X3 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.hsCH8iA3vy/E---3.1_2134893.p',asymmetric) ).
thf(transitive,axiom,
( trans
= ( ^ [X1: $i > $i > $o] :
! [X3: $i,X4: $i,X6: $i] :
( ( ( X1 @ X3 @ X4 )
& ( X1 @ X4 @ X6 ) )
=> ( X1 @ X3 @ X6 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.hsCH8iA3vy/E---3.1_2134893.p',transitive) ).
thf(inverse_of_strict_order_is_strict_order,conjecture,
! [X1: $i > $i > $o] :
( ( so @ X1 )
=> ( so @ ( inv @ X1 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.hsCH8iA3vy/E---3.1_2134893.p',inverse_of_strict_order_is_strict_order) ).
thf(inverse,axiom,
( inv
= ( ^ [X1: $i > $i > $o,X3: $i,X4: $i] : ( X1 @ X4 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.hsCH8iA3vy/E---3.1_2134893.p',inverse) ).
thf(c_0_5,plain,
( so
= ( ^ [Z0: $i > $i > $o] :
( ! [X39: $i,X40: $i] :
( ( Z0 @ X39 @ X40 )
=> ~ ( Z0 @ X40 @ X39 ) )
& ! [X41: $i,X42: $i,X43: $i] :
( ( ( Z0 @ X41 @ X42 )
& ( Z0 @ X42 @ X43 ) )
=> ( Z0 @ X41 @ X43 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[strict_order]) ).
thf(c_0_6,plain,
( asymm
= ( ^ [Z0: $i > $i > $o] :
! [X3: $i,X4: $i] :
( ( Z0 @ X3 @ X4 )
=> ~ ( Z0 @ X4 @ X3 ) ) ) ),
inference(fof_simplification,[status(thm)],[asymmetric]) ).
thf(c_0_7,plain,
( trans
= ( ^ [Z0: $i > $i > $o] :
! [X3: $i,X4: $i,X6: $i] :
( ( ( Z0 @ X3 @ X4 )
& ( Z0 @ X4 @ X6 ) )
=> ( Z0 @ X3 @ X6 ) ) ) ),
inference(fof_simplification,[status(thm)],[transitive]) ).
thf(c_0_8,negated_conjecture,
~ ! [X1: $i > $i > $o] :
( ( so @ X1 )
=> ( so @ ( inv @ X1 ) ) ),
inference(assume_negation,[status(cth)],[inverse_of_strict_order_is_strict_order]) ).
thf(c_0_9,plain,
( inv
= ( ^ [Z0: $i > $i > $o,Z1: $i,Z2: $i] : ( Z0 @ Z2 @ Z1 ) ) ),
inference(fof_simplification,[status(thm)],[inverse]) ).
thf(c_0_10,plain,
( so
= ( ^ [Z0: $i > $i > $o] :
( ! [X39: $i,X40: $i] :
( ( Z0 @ X39 @ X40 )
=> ~ ( Z0 @ X40 @ X39 ) )
& ! [X41: $i,X42: $i,X43: $i] :
( ( ( Z0 @ X41 @ X42 )
& ( Z0 @ X42 @ X43 ) )
=> ( Z0 @ X41 @ X43 ) ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_5,c_0_6]),c_0_7]) ).
thf(c_0_11,negated_conjecture,
~ ! [X1: $i > $i > $o] :
( ( ! [X158: $i,X159: $i] :
( ( X1 @ X158 @ X159 )
=> ~ ( X1 @ X159 @ X158 ) )
& ! [X160: $i,X161: $i,X162: $i] :
( ( ( X1 @ X160 @ X161 )
& ( X1 @ X161 @ X162 ) )
=> ( X1 @ X160 @ X162 ) ) )
=> ( ! [X163: $i,X164: $i] :
( ( X1 @ X164 @ X163 )
=> ~ ( X1 @ X163 @ X164 ) )
& ! [X165: $i,X166: $i,X167: $i] :
( ( ( X1 @ X166 @ X165 )
& ( X1 @ X167 @ X166 ) )
=> ( X1 @ X167 @ X165 ) ) ) ),
inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_8,c_0_9]),c_0_10]) ).
thf(c_0_12,negated_conjecture,
! [X169: $i,X170: $i,X171: $i,X172: $i,X173: $i] :
( ( ~ ( epred1_0 @ X169 @ X170 )
| ~ ( epred1_0 @ X170 @ X169 ) )
& ( ~ ( epred1_0 @ X171 @ X172 )
| ~ ( epred1_0 @ X172 @ X173 )
| ( epred1_0 @ X171 @ X173 ) )
& ( ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk5_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ~ ( epred1_0 @ esk5_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) )
& ( ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ( epred1_0 @ esk5_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) )
& ( ~ ( epred1_0 @ esk5_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ) ),
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_11])])])])])]) ).
thf(c_0_13,negated_conjecture,
! [X3: $i,X4: $i,X6: $i] :
( ( epred1_0 @ X3 @ X6 )
| ~ ( epred1_0 @ X3 @ X4 )
| ~ ( epred1_0 @ X4 @ X6 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_14,negated_conjecture,
( ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_15,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ( epred1_0 @ X3 @ esk3_0 )
| ~ ( epred1_0 @ X3 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_16,negated_conjecture,
( ( epred1_0 @ esk5_0 @ esk4_0 )
| ( epred1_0 @ esk1_0 @ esk2_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_17,negated_conjecture,
( ( epred1_0 @ esk1_0 @ esk2_0 )
| ~ ( epred1_0 @ esk5_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_18,negated_conjecture,
! [X4: $i,X3: $i] :
( ~ ( epred1_0 @ X3 @ X4 )
| ~ ( epred1_0 @ X4 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_19,negated_conjecture,
epred1_0 @ esk1_0 @ esk2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_17]) ).
thf(c_0_20,negated_conjecture,
( ( epred1_0 @ esk4_0 @ esk3_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_21,negated_conjecture,
~ ( epred1_0 @ esk2_0 @ esk1_0 ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_22,negated_conjecture,
epred1_0 @ esk4_0 @ esk3_0,
inference(sr,[status(thm)],[c_0_20,c_0_21]) ).
thf(c_0_23,negated_conjecture,
( ( epred1_0 @ esk5_0 @ esk4_0 )
| ( epred1_0 @ esk2_0 @ esk1_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_24,negated_conjecture,
( ( epred1_0 @ esk2_0 @ esk1_0 )
| ~ ( epred1_0 @ esk5_0 @ esk3_0 ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_25,negated_conjecture,
! [X3: $i] :
( ( epred1_0 @ X3 @ esk3_0 )
| ~ ( epred1_0 @ X3 @ esk4_0 ) ),
inference(spm,[status(thm)],[c_0_13,c_0_22]) ).
thf(c_0_26,negated_conjecture,
epred1_0 @ esk5_0 @ esk4_0,
inference(sr,[status(thm)],[c_0_23,c_0_21]) ).
thf(c_0_27,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26])]),c_0_21]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU494^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n013.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Tue Sep 29 13:45:21 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24 Running higher-order theorem proving
% 0.08/0.25 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.hsCH8iA3vy/E---3.1_2134893.p
% 0.08/0.28 % Version: 3.5.1-ho
% 0.08/0.28 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.08/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.28 % Starting new_ho_9 with 1500s (5) cores
% 0.08/0.28 % Starting post_as_ho1 with 300s (1) cores
% 0.08/0.28 % Starting sh1l with 300s (1) cores
% 0.08/0.28 % Starting post_as_ho10 with 300s (1) cores
% 0.08/0.28 % post_as_ho1 with pid 2134907 completed with status 0
% 0.08/0.28 % Result found by post_as_ho1
% 0.08/0.28 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.08/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.28 % Starting new_ho_9 with 1500s (5) cores
% 0.08/0.28 % Starting post_as_ho1 with 300s (1) cores
% 0.08/0.28 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.28 % No SInE strategy applied
% 0.08/0.28 % Search class: HGHNF-FFSS00-SHSSMFNN
% 0.08/0.28 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.28 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.28 % SubtermCWHack with pid 2134911 completed with status 0
% 0.08/0.28 % Result found by SubtermCWHack
% 0.08/0.28 % Preprocessing class: HSSSSMSSMLSNHSN.
% 0.08/0.28 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.08/0.28 % Starting new_ho_9 with 1500s (5) cores
% 0.08/0.28 % Starting post_as_ho1 with 300s (1) cores
% 0.08/0.28 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.08/0.28 % No SInE strategy applied
% 0.08/0.28 % Search class: HGHNF-FFSS00-SHSSMFNN
% 0.08/0.28 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.08/0.28 % Starting SubtermCWHack with 28s (1) cores
% 0.08/0.28 % Preprocessing time : 0.001 s
% 0.08/0.28
% 0.08/0.28 % Proof found!
% 0.08/0.28 % SZS status Theorem
% 0.08/0.28 % SZS output start CNFRefutation
% See solution above
% 0.08/0.28 % Parsed axioms : 59
% 0.08/0.28 % Removed by relevancy pruning/SinE : 0
% 0.08/0.28 % Initial clauses : 37
% 0.08/0.28 % Removed in clause preprocessing : 29
% 0.08/0.28 % Initial clauses in saturation : 8
% 0.08/0.28 % Processed clauses : 23
% 0.08/0.28 % ...of these trivial : 0
% 0.08/0.28 % ...subsumed : 0
% 0.08/0.28 % ...remaining for further processing : 23
% 0.08/0.28 % Other redundant clauses eliminated : 0
% 0.08/0.28 % Clauses deleted for lack of memory : 0
% 0.08/0.28 % Backward-subsumed : 2
% 0.08/0.28 % Backward-rewritten : 7
% 0.08/0.28 % Generated clauses : 21
% 0.08/0.28 % ...of the previous two non-redundant : 18
% 0.08/0.28 % ...aggressively subsumed : 0
% 0.08/0.28 % Contextual simplify-reflections : 1
% 0.08/0.28 % Paramodulations : 19
% 0.08/0.28 % Factorizations : 0
% 0.08/0.28 % NegExts : 0
% 0.08/0.28 % Equation resolutions : 0
% 0.08/0.28 % Disequality decompositions : 0
% 0.08/0.28 % Total rewrite steps : 8
% 0.08/0.28 % ...of those cached : 6
% 0.08/0.28 % Propositional unsat checks : 0
% 0.08/0.28 % Propositional check models : 0
% 0.08/0.28 % Propositional check unsatisfiable : 0
% 0.08/0.28 % Propositional clauses : 0
% 0.08/0.28 % Propositional clauses after purity: 0
% 0.08/0.28 % Propositional unsat core size : 0
% 0.08/0.28 % Propositional preprocessing time : 0.000
% 0.08/0.28 % Propositional encoding time : 0.000
% 0.08/0.28 % Propositional solver time : 0.000
% 0.08/0.28 % Success case prop preproc time : 0.000
% 0.08/0.28 % Success case prop encoding time : 0.000
% 0.08/0.28 % Success case prop solver time : 0.000
% 0.08/0.28 % Current number of processed clauses : 12
% 0.08/0.28 % Positive orientable unit clauses : 3
% 0.08/0.28 % Positive unorientable unit clauses: 0
% 0.08/0.28 % Negative unit clauses : 3
% 0.08/0.28 % Non-unit-clauses : 6
% 0.08/0.28 % Current number of unprocessed clauses: 1
% 0.08/0.28 % ...number of literals in the above : 2
% 0.08/0.28 % Current number of archived formulas : 0
% 0.08/0.28 % Current number of archived clauses : 11
% 0.08/0.28 % Clause-clause subsumption calls (NU) : 72
% 0.08/0.28 % Rec. Clause-clause subsumption calls : 66
% 0.08/0.28 % Non-unit clause-clause subsumptions : 1
% 0.08/0.28 % Unit Clause-clause subsumption calls : 17
% 0.08/0.28 % Rewrite failures with RHS unbound : 0
% 0.08/0.28 % BW rewrite match attempts : 1
% 0.08/0.28 % BW rewrite match successes : 1
% 0.08/0.28 % Condensation attempts : 0
% 0.08/0.28 % Condensation successes : 0
% 0.08/0.28 % Termbank termtop insertions : 3598
% 0.08/0.28 % Search garbage collected termcells : 912
% 0.08/0.28
% 0.08/0.28 % -------------------------------------------------
% 0.08/0.28 % User time : 0.007 s
% 0.08/0.28 % System time : 0.002 s
% 0.08/0.28 % Total time : 0.009 s
% 0.08/0.28 % Maximum resident set size: 3944 pages
% 0.08/0.28
% 0.08/0.28 % -------------------------------------------------
% 0.08/0.28 % User time : 0.009 s
% 0.08/0.28 % System time : 0.007 s
% 0.08/0.28 % Total time : 0.016 s
% 0.08/0.28 % Maximum resident set size: 4864 pages
% 0.08/0.28 % E exiting
%------------------------------------------------------------------------------