%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP047^1 : 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 : 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 08:04:12 AM UTC 2026
% Result : Theorem 0.29s 0.39s
% Output : CNFRefutation 0.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 12 unt; 0 typ; 0 def)
% Number of atoms : 12 ( 11 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 94 ( 5 ~; 0 |; 0 &; 89 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 8 ( 8 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 12 usr; 4 con; 0-4 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
produc1156025366_r_l_v: $tType ).
thf(decl_sort2,type,
expr_r_l_v: $tType ).
thf(decl_sort3,type,
l: $tType ).
thf(decl_sort4,type,
option_val_r_l_v: $tType ).
thf(decl_sort5,type,
cntxt_r_l_v: $tType ).
thf(decl_sort6,type,
r: $tType ).
thf(decl_sort7,type,
option1457017436_r_l_v: $tType ).
thf(decl_sort8,type,
produc1164766533_r_l_v: $tType ).
thf(decl_29,type,
rfork_r_l_v: expr_r_l_v > expr_r_l_v ).
thf(decl_32,type,
plug_r_l_v: cntxt_r_l_v > expr_r_l_v > expr_r_l_v ).
thf(decl_63,type,
fun_up709272714_r_l_v: ( r > option1457017436_r_l_v ) > r > option1457017436_r_l_v > r > option1457017436_r_l_v ).
thf(decl_79,type,
some_P1807977723_r_l_v: produc1156025366_r_l_v > option1457017436_r_l_v ).
thf(decl_101,type,
produc1834103605_r_l_v: ( l > option_val_r_l_v ) > expr_r_l_v > produc1164766533_r_l_v ).
thf(decl_102,type,
produc297528454_r_l_v: ( l > option_val_r_l_v ) > produc1164766533_r_l_v > produc1156025366_r_l_v ).
thf(decl_121,type,
e: cntxt_r_l_v ).
thf(decl_124,type,
sigma: l > option_val_r_l_v ).
thf(decl_125,type,
tau: l > option_val_r_l_v ).
thf(decl_126,type,
e2: expr_r_l_v ).
thf(decl_127,type,
r2: r ).
thf(decl_129,type,
s: r > option1457017436_r_l_v ).
thf(conj_0,conjecture,
( s
= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.hsiSw3xe3s/E---3.1_817937.p',conj_0) ).
thf(fact_0_local_Ofork_I2_J,axiom,
( ( s @ r2 )
= ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.hsiSw3xe3s/E---3.1_817937.p',fact_0_local_Ofork_I2_J) ).
thf(fact_5_fun__upd__triv,axiom,
! [X6: r > option1457017436_r_l_v,X7: r] :
( ( fun_up709272714_r_l_v @ X6 @ X7 @ ( X6 @ X7 ) )
= X6 ),
file('/export/starexec/sandbox2/tmp/tmp.hsiSw3xe3s/E---3.1_817937.p',fact_5_fun__upd__triv) ).
thf(c_0_3,negated_conjecture,
( s
!= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_4,negated_conjecture,
( s
!= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
thf(c_0_5,negated_conjecture,
( s
!= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ) ),
inference(fof_nnf,[status(thm)],[c_0_4]) ).
thf(c_0_6,negated_conjecture,
( s
!= ( fun_up709272714_r_l_v @ s @ r2 @ ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_7,plain,
( ( s @ r2 )
= ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma @ ( produc1834103605_r_l_v @ tau @ ( plug_r_l_v @ e @ ( rfork_r_l_v @ e2 ) ) ) ) ) ),
inference(split_conjunct,[status(thm)],[fact_0_local_Ofork_I2_J]) ).
thf(c_0_8,plain,
! [X1084: r > option1457017436_r_l_v,X1085: r] :
( ( fun_up709272714_r_l_v @ X1084 @ X1085 @ ( X1084 @ X1085 ) )
= X1084 ),
inference(variable_rename,[status(thm)],[fact_5_fun__upd__triv]) ).
thf(c_0_9,negated_conjecture,
( ( fun_up709272714_r_l_v @ s @ r2 @ ( s @ r2 ) )
!= s ),
inference(rw,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_10,plain,
! [X7: r,X6: r > option1457017436_r_l_v] :
( ( fun_up709272714_r_l_v @ X6 @ X7 @ ( X6 @ X7 ) )
= X6 ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
thf(c_0_11,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP047^1 : 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 : n016.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 19:46:49 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.20/0.31 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.hsiSw3xe3s/E---3.1_817937.p
% 0.29/0.39 % Version: 3.5.1-ho
% 0.29/0.39 % Preprocessing class: HSLMSMSMSSLNHSA.
% 0.29/0.39 % Scheduled 7 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/0.39 % Starting new_bool_8 with 600s (2) cores
% 0.29/0.39 % Starting new_ho_3 with 300s (1) cores
% 0.29/0.39 % Starting additional_ho_3 with 300s (1) cores
% 0.29/0.39 % Starting full_lambda_10 with 300s (1) cores
% 0.29/0.39 % Starting ehoh_best with 300s (1) cores
% 0.29/0.39 % Starting sh2lt with 300s (1) cores
% 0.29/0.39 % Starting full_lambda_4 with 300s (1) cores
% 0.29/0.39 % new_bool_8 with pid 817950 completed with status 0
% 0.29/0.39 % Result found by new_bool_8
% 0.29/0.39 % Preprocessing class: HSLMSMSMSSLNHSA.
% 0.29/0.39 % Scheduled 7 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/0.39 % Starting new_bool_8 with 600s (2) cores
% 0.29/0.39 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 0.29/0.39 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.29/0.39 % Search class: HGHSM-FSLS33-DHSFFSBN
% 0.29/0.39 % partial match(1): HGHSM-FSLS33-MHSFFSBN
% 0.29/0.39 % Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 0.29/0.39 % Starting SubtermCWHack with 55s (1) cores
% 0.29/0.39 % Starting new_bool_8 with 61s (1) cores
% 0.29/0.39 % new_bool_8 with pid 817958 completed with status 0
% 0.29/0.39 % Result found by new_bool_8
% 0.29/0.39 % Preprocessing class: HSLMSMSMSSLNHSA.
% 0.29/0.39 % Scheduled 7 strats onto 8 cores with 300 seconds (2400 total)
% 0.29/0.39 % Starting new_bool_8 with 600s (2) cores
% 0.29/0.39 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,1,,2,20000,1.0))
% 0.29/0.39 % SinE strategy is GSinE(CountFormulas,hypos,1,,2,20000,1.0)
% 0.29/0.39 % Search class: HGHSM-FSLS33-DHSFFSBN
% 0.29/0.39 % partial match(1): HGHSM-FSLS33-MHSFFSBN
% 0.29/0.39 % Scheduled 7 strats onto 2 cores with 600 seconds (600 total)
% 0.29/0.39 % Starting SubtermCWHack with 55s (1) cores
% 0.29/0.39 % Starting new_bool_8 with 61s (1) cores
% 0.29/0.39 % Preprocessing time : 0.007 s
% 0.29/0.39 % Presaturation interreduction done
% 0.29/0.39
% 0.29/0.39 % Proof found!
% 0.29/0.39 % SZS status Theorem
% 0.29/0.39 % SZS output start CNFRefutation
% See solution above
% 0.29/0.39 % Parsed axioms : 502
% 0.29/0.39 % Removed by relevancy pruning/SinE : 408
% 0.29/0.39 % Initial clauses : 171
% 0.29/0.39 % Removed in clause preprocessing : 17
% 0.29/0.39 % Initial clauses in saturation : 154
% 0.29/0.39 % Processed clauses : 40
% 0.29/0.39 % ...of these trivial : 1
% 0.29/0.39 % ...subsumed : 4
% 0.29/0.39 % ...remaining for further processing : 35
% 0.29/0.39 % Other redundant clauses eliminated : 0
% 0.29/0.39 % Clauses deleted for lack of memory : 0
% 0.29/0.39 % Backward-subsumed : 0
% 0.29/0.39 % Backward-rewritten : 2
% 0.29/0.39 % Generated clauses : 0
% 0.29/0.39 % ...of the previous two non-redundant : 1
% 0.29/0.39 % ...aggressively subsumed : 0
% 0.29/0.39 % Contextual simplify-reflections : 0
% 0.29/0.39 % Paramodulations : 0
% 0.29/0.39 % Factorizations : 0
% 0.29/0.39 % NegExts : 0
% 0.29/0.39 % Equation resolutions : 0
% 0.29/0.39 % Disequality decompositions : 0
% 0.29/0.39 % Total rewrite steps : 3
% 0.29/0.39 % ...of those cached : 0
% 0.29/0.39 % Propositional unsat checks : 0
% 0.29/0.39 % Propositional check models : 0
% 0.29/0.39 % Propositional check unsatisfiable : 0
% 0.29/0.39 % Propositional clauses : 0
% 0.29/0.39 % Propositional clauses after purity: 0
% 0.29/0.39 % Propositional unsat core size : 0
% 0.29/0.39 % Propositional preprocessing time : 0.000
% 0.29/0.39 % Propositional encoding time : 0.000
% 0.29/0.39 % Propositional solver time : 0.000
% 0.29/0.39 % Success case prop preproc time : 0.000
% 0.29/0.39 % Success case prop encoding time : 0.000
% 0.29/0.39 % Success case prop solver time : 0.000
% 0.29/0.39 % Current number of processed clauses : 33
% 0.29/0.39 % Positive orientable unit clauses : 20
% 0.29/0.39 % Positive unorientable unit clauses: 1
% 0.29/0.39 % Negative unit clauses : 3
% 0.29/0.39 % Non-unit-clauses : 9
% 0.29/0.39 % Current number of unprocessed clauses: 115
% 0.29/0.39 % ...number of literals in the above : 538
% 0.29/0.39 % Current number of archived formulas : 0
% 0.29/0.39 % Current number of archived clauses : 12
% 0.29/0.39 % Clause-clause subsumption calls (NU) : 12
% 0.29/0.39 % Rec. Clause-clause subsumption calls : 12
% 0.29/0.39 % Non-unit clause-clause subsumptions : 4
% 0.29/0.39 % Unit Clause-clause subsumption calls : 20
% 0.29/0.39 % Rewrite failures with RHS unbound : 0
% 0.29/0.39 % BW rewrite match attempts : 3
% 0.29/0.39 % BW rewrite match successes : 2
% 0.29/0.39 % Condensation attempts : 0
% 0.29/0.39 % Condensation successes : 0
% 0.29/0.39 % Termbank termtop insertions : 26126
% 0.29/0.39 % Search garbage collected termcells : 9142
% 0.29/0.39
% 0.29/0.39 % -------------------------------------------------
% 0.29/0.39 % User time : 0.028 s
% 0.29/0.39 % System time : 0.007 s
% 0.29/0.39 % Total time : 0.035 s
% 0.29/0.39 % Maximum resident set size: 5724 pages
% 0.29/0.39
% 0.29/0.39 % -------------------------------------------------
% 0.29/0.39 % User time : 0.057 s
% 0.29/0.39 % System time : 0.018 s
% 0.29/0.39 % Total time : 0.075 s
% 0.29/0.39 % Maximum resident set size: 5888 pages
% 0.29/0.39 % E exiting
%------------------------------------------------------------------------------