%------------------------------------------------------------------------------
% File : E-SAT---3.5.1
% Problem : ITP189^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 08:05:47 AM UTC 2026
% Result : Theorem 2.35s 0.68s
% Output : CNFRefutation 2.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 10 unt; 0 typ; 0 def)
% Number of atoms : 19 ( 0 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 136 ( 8 ~; 4 |; 0 &; 122 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 12 ( 0 ^; 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
pi: $tType ).
thf(decl_sort2,type,
name: $tType ).
thf(decl_sort3,type,
late_freeRes: $tType ).
thf(decl_sort4,type,
late_residual: $tType ).
thf(decl_25,type,
par: pi > pi > pi ).
thf(decl_27,type,
res: name > pi > pi ).
thf(decl_35,type,
late_FreeR: late_freeRes > pi > late_residual ).
thf(decl_38,type,
late_transitions: pi > late_residual > $o ).
thf(decl_49,type,
fresh_1641682979reeRes: name > late_freeRes > $o ).
thf(decl_102,type,
p: pi ).
thf(decl_103,type,
p2: pi ).
thf(decl_105,type,
q: pi ).
thf(decl_107,type,
alpha: late_freeRes ).
thf(decl_108,type,
x: name ).
thf(conj_0,conjecture,
late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.22bC5picBF/E---3.1_1246149.p',conj_0) ).
thf(fact_11_ResF,axiom,
! [X1: pi,X2: late_freeRes,X3: pi,X17: name] :
( ( late_transitions @ X1 @ ( late_FreeR @ X2 @ X3 ) )
=> ( ( fresh_1641682979reeRes @ X17 @ X2 )
=> ( late_transitions @ ( res @ X17 @ X1 ) @ ( late_FreeR @ X2 @ ( res @ X17 @ X3 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.22bC5picBF/E---3.1_1246149.p',fact_11_ResF) ).
thf(fact_1__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_A_092_060alpha_062_A_092_060prec_062_AP_H_A_092_060parallel_062_AQ_092_060close_062,axiom,
late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ alpha @ ( par @ p2 @ q ) ),
file('/export/starexec/sandbox2/tmp/tmp.22bC5picBF/E---3.1_1246149.p',fact_1__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_A_092_060alpha_062_A_092_060prec_062_AP_H_A_092_060parallel_062_AQ_092_060close_062) ).
thf(fact_0__092_060open_062x_A_092_060sharp_062_A_092_060alpha_062_092_060close_062,axiom,
fresh_1641682979reeRes @ x @ alpha,
file('/export/starexec/sandbox2/tmp/tmp.22bC5picBF/E---3.1_1246149.p',fact_0__092_060open_062x_A_092_060sharp_062_A_092_060alpha_062_092_060close_062) ).
thf(c_0_4,negated_conjecture,
~ ( late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_5,negated_conjecture,
~ ( late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
~ ( late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ) ),
inference(fof_nnf,[status(thm)],[c_0_5]) ).
thf(c_0_7,plain,
! [X1832: pi,X1833: late_freeRes,X1834: pi,X1835: name] :
( ~ ( late_transitions @ X1832 @ ( late_FreeR @ X1833 @ X1834 ) )
| ~ ( fresh_1641682979reeRes @ X1835 @ X1833 )
| ( late_transitions @ ( res @ X1835 @ X1832 ) @ ( late_FreeR @ X1833 @ ( res @ X1835 @ X1834 ) ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_11_ResF])])]) ).
thf(c_0_8,negated_conjecture,
~ ( late_transitions @ ( res @ x @ ( par @ p @ q ) ) @ ( late_FreeR @ alpha @ ( res @ x @ ( par @ p2 @ q ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_9,plain,
! [X3: pi,X1: pi,X8: name,X2: late_freeRes] :
( ( late_transitions @ ( res @ X8 @ X1 ) @ ( late_FreeR @ X2 @ ( res @ X8 @ X3 ) ) )
| ~ ( late_transitions @ X1 @ ( late_FreeR @ X2 @ X3 ) )
| ~ ( fresh_1641682979reeRes @ X8 @ X2 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_10,plain,
late_transitions @ ( par @ p @ q ) @ ( late_FreeR @ alpha @ ( par @ p2 @ q ) ),
inference(split_conjunct,[status(thm)],[fact_1__092_060open_062P_A_092_060parallel_062_AQ_A_092_060longmapsto_062_A_092_060alpha_062_A_092_060prec_062_AP_H_A_092_060parallel_062_AQ_092_060close_062]) ).
thf(c_0_11,plain,
fresh_1641682979reeRes @ x @ alpha,
inference(split_conjunct,[status(thm)],[fact_0__092_060open_062x_A_092_060sharp_062_A_092_060alpha_062_092_060close_062]) ).
thf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP189^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n006.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 20:09:09 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running higher-order theorem proving
% 0.22/0.29 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.22bC5picBF/E---3.1_1246149.p
% 2.35/0.68 % Version: 3.5.1-ho
% 2.35/0.68 % Preprocessing class: HSLSSMSMSSSNSFA.
% 2.35/0.68 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 2.35/0.68 % Starting new_ho_10 with 900s (3) cores
% 2.35/0.68 % Starting sh2lt with 300s (1) cores
% 2.35/0.68 % Starting new_ho_5 with 300s (1) cores
% 2.35/0.68 % Starting full_lambda_5 with 300s (1) cores
% 2.35/0.68 % Starting sh9 with 300s (1) cores
% 2.35/0.68 % Starting ehoh_best8_lambda with 300s (1) cores
% 2.35/0.68 % new_ho_10 with pid 1246162 completed with status 0
% 2.35/0.68 % Result found by new_ho_10
% 2.35/0.68 % Preprocessing class: HSLSSMSMSSSNSFA.
% 2.35/0.68 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 2.35/0.68 % Starting new_ho_10 with 900s (3) cores
% 2.35/0.68 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.35/0.68 % No SInE strategy applied
% 2.35/0.68 % Search class: HGHSM-FSLM32-MSFFFFBN
% 2.35/0.68 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 2.35/0.68 % Starting SubtermCWHack with 82s (1) cores
% 2.35/0.68 % Starting new_ho_10 with 91s (1) cores
% 2.35/0.68 % Starting sh5l with 82s (1) cores
% 2.35/0.68 % new_ho_10 with pid 1246172 completed with status 0
% 2.35/0.68 % Result found by new_ho_10
% 2.35/0.68 % Preprocessing class: HSLSSMSMSSSNSFA.
% 2.35/0.68 % Scheduled 6 strats onto 8 cores with 300 seconds (2400 total)
% 2.35/0.68 % Starting new_ho_10 with 900s (3) cores
% 2.35/0.68 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 2.35/0.68 % No SInE strategy applied
% 2.35/0.68 % Search class: HGHSM-FSLM32-MSFFFFBN
% 2.35/0.68 % Scheduled 7 strats onto 3 cores with 900 seconds (900 total)
% 2.35/0.68 % Starting SubtermCWHack with 82s (1) cores
% 2.35/0.68 % Starting new_ho_10 with 91s (1) cores
% 2.35/0.68 % Preprocessing time : 0.018 s
% 2.35/0.68 % Presaturation interreduction done
% 2.35/0.68
% 2.35/0.68 % Proof found!
% 2.35/0.68 % SZS status Theorem
% 2.35/0.68 % SZS output start CNFRefutation
% See solution above
% 2.35/0.68 % Parsed axioms : 434
% 2.35/0.68 % Removed by relevancy pruning/SinE : 0
% 2.35/0.68 % Initial clauses : 1034
% 2.35/0.68 % Removed in clause preprocessing : 146
% 2.35/0.68 % Initial clauses in saturation : 888
% 2.35/0.68 % Processed clauses : 1338
% 2.35/0.68 % ...of these trivial : 26
% 2.35/0.68 % ...subsumed : 108
% 2.35/0.68 % ...remaining for further processing : 1204
% 2.35/0.68 % Other redundant clauses eliminated : 136
% 2.35/0.68 % Clauses deleted for lack of memory : 0
% 2.35/0.68 % Backward-subsumed : 0
% 2.35/0.68 % Backward-rewritten : 15
% 2.35/0.69 % Generated clauses : 865
% 2.35/0.69 % ...of the previous two non-redundant : 583
% 2.35/0.69 % ...aggressively subsumed : 0
% 2.35/0.69 % Contextual simplify-reflections : 0
% 2.35/0.69 % Paramodulations : 608
% 2.35/0.69 % Factorizations : 2
% 2.35/0.69 % NegExts : 5
% 2.35/0.69 % Equation resolutions : 177
% 2.35/0.69 % Disequality decompositions : 0
% 2.35/0.69 % Total rewrite steps : 147
% 2.35/0.69 % ...of those cached : 63
% 2.35/0.69 % Propositional unsat checks : 0
% 2.35/0.69 % Propositional check models : 0
% 2.35/0.69 % Propositional check unsatisfiable : 0
% 2.35/0.69 % Propositional clauses : 0
% 2.35/0.69 % Propositional clauses after purity: 0
% 2.35/0.69 % Propositional unsat core size : 0
% 2.35/0.69 % Propositional preprocessing time : 0.000
% 2.35/0.69 % Propositional encoding time : 0.000
% 2.35/0.69 % Propositional solver time : 0.000
% 2.35/0.69 % Success case prop preproc time : 0.000
% 2.35/0.69 % Success case prop encoding time : 0.000
% 2.35/0.69 % Success case prop solver time : 0.000
% 2.35/0.69 % Current number of processed clauses : 355
% 2.35/0.69 % Positive orientable unit clauses : 89
% 2.35/0.69 % Positive unorientable unit clauses: 1
% 2.35/0.69 % Negative unit clauses : 60
% 2.35/0.69 % Non-unit-clauses : 205
% 2.35/0.69 % Current number of unprocessed clauses: 900
% 2.35/0.69 % ...number of literals in the above : 2997
% 2.35/0.69 % Current number of archived formulas : 0
% 2.35/0.69 % Current number of archived clauses : 819
% 2.35/0.69 % Clause-clause subsumption calls (NU) : 253240
% 2.35/0.69 % Rec. Clause-clause subsumption calls : 71065
% 2.35/0.69 % Non-unit clause-clause subsumptions : 69
% 2.35/0.69 % Unit Clause-clause subsumption calls : 3833
% 2.35/0.69 % Rewrite failures with RHS unbound : 0
% 2.35/0.69 % BW rewrite match attempts : 35
% 2.35/0.69 % BW rewrite match successes : 16
% 2.35/0.69 % Condensation attempts : 1338
% 2.35/0.69 % Condensation successes : 2
% 2.35/0.69 % Termbank termtop insertions : 95506
% 2.35/0.69 % Search garbage collected termcells : 17890
% 2.35/0.69
% 2.35/0.69 % -------------------------------------------------
% 2.35/0.69 % User time : 0.315 s
% 2.35/0.69 % System time : 0.019 s
% 2.35/0.69 % Total time : 0.333 s
% 2.35/0.69 % Maximum resident set size: 7908 pages
% 2.35/0.69
% 2.35/0.69 % -------------------------------------------------
% 2.35/0.69 % User time : 0.847 s
% 2.35/0.69 % System time : 0.069 s
% 2.35/0.69 % Total time : 0.916 s
% 2.35/0.69 % Maximum resident set size: 5888 pages
% 2.35/0.69 % E exiting
%------------------------------------------------------------------------------