%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP046^1 : 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 : n026.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 08:04:11 AM UTC 2026
% Result : Theorem 0.44s 0.43s
% Output : CNFRefutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 25 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 33 ( 23 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 91 ( 20 ~; 5 |; 0 &; 63 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 10 ( 9 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 6 con; 0-2 aty)
% Number of variables : 21 ( 0 ^; 21 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
l: $tType ).
thf(decl_sort2,type,
option_val_r_l_v: $tType ).
thf(decl_sort3,type,
produc1156025366_r_l_v: $tType ).
thf(decl_sort4,type,
expr_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,
set_r: $tType ).
thf(decl_sort9,type,
produc1164766533_r_l_v: $tType ).
thf(decl_32,type,
rfork_r_l_v: expr_r_l_v > expr_r_l_v ).
thf(decl_35,type,
plug_r_l_v: cntxt_r_l_v > expr_r_l_v > expr_r_l_v ).
thf(decl_77,type,
rID_G_r_l_v: ( r > option1457017436_r_l_v ) > set_r ).
thf(decl_86,type,
none_P277133687_r_l_v: option1457017436_r_l_v ).
thf(decl_88,type,
some_P1807977723_r_l_v: produc1156025366_r_l_v > option1457017436_r_l_v ).
thf(decl_112,type,
produc1834103605_r_l_v: ( l > option_val_r_l_v ) > expr_r_l_v > produc1164766533_r_l_v ).
thf(decl_113,type,
produc297528454_r_l_v: ( l > option_val_r_l_v ) > produc1164766533_r_l_v > produc1156025366_r_l_v ).
thf(decl_135,type,
member_r: r > set_r > $o ).
thf(decl_137,type,
e2: cntxt_r_l_v ).
thf(decl_139,type,
sigma2: l > option_val_r_l_v ).
thf(decl_141,type,
tau2: l > option_val_r_l_v ).
thf(decl_143,type,
e4: expr_r_l_v ).
thf(decl_146,type,
r3: r ).
thf(decl_147,type,
right_forkee: r ).
thf(decl_148,type,
s_1: r > option1457017436_r_l_v ).
thf(decl_240,type,
esk89_1: option1457017436_r_l_v > produc1156025366_r_l_v ).
thf(fact_0_local_Ofork_I3_J,axiom,
~ ( member_r @ right_forkee @ ( rID_G_r_l_v @ s_1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.Xsp77f5Eda/E---3.1_1089700.p',fact_0_local_Ofork_I3_J) ).
thf(conj_0,conjecture,
r3 != right_forkee,
file('/export/starexec/sandbox2/tmp/tmp.Xsp77f5Eda/E---3.1_1089700.p',conj_0) ).
thf(fact_73_option_Oexhaust,axiom,
! [X125: option1457017436_r_l_v] :
( ( X125 != none_P277133687_r_l_v )
=> ~ ! [X126: produc1156025366_r_l_v] :
( X125
!= ( some_P1807977723_r_l_v @ X126 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Xsp77f5Eda/E---3.1_1089700.p',fact_73_option_Oexhaust) ).
thf(fact_24_RID_092_060_094sub_062GI_I1_J,axiom,
! [X3: r > option1457017436_r_l_v,X2: r,X34: produc1156025366_r_l_v] :
( ( ( X3 @ X2 )
= ( some_P1807977723_r_l_v @ X34 ) )
=> ( member_r @ X2 @ ( rID_G_r_l_v @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Xsp77f5Eda/E---3.1_1089700.p',fact_24_RID_092_060_094sub_062GI_I1_J) ).
thf(fact_77_option_Odistinct_I1_J,axiom,
! [X46: produc1156025366_r_l_v] :
( none_P277133687_r_l_v
!= ( some_P1807977723_r_l_v @ X46 ) ),
file('/export/starexec/sandbox2/tmp/tmp.Xsp77f5Eda/E---3.1_1089700.p',fact_77_option_Odistinct_I1_J) ).
thf(fact_6_local_Ofork_I2_J,axiom,
( ( s_1 @ r3 )
= ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma2 @ ( produc1834103605_r_l_v @ tau2 @ ( plug_r_l_v @ e2 @ ( rfork_r_l_v @ e4 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Xsp77f5Eda/E---3.1_1089700.p',fact_6_local_Ofork_I2_J) ).
thf(c_0_6,plain,
~ ( member_r @ right_forkee @ ( rID_G_r_l_v @ s_1 ) ),
inference(fof_simplification,[status(thm)],[fact_0_local_Ofork_I3_J]) ).
thf(c_0_7,negated_conjecture,
~ ( ( r3 != right_forkee ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_8,plain,
! [X125: option1457017436_r_l_v] :
( ( X125 != none_P277133687_r_l_v )
=> ~ ! [X126: produc1156025366_r_l_v] :
( X125
!= ( some_P1807977723_r_l_v @ X126 ) ) ),
inference(fof_simplification,[status(thm)],[fact_73_option_Oexhaust]) ).
thf(c_0_9,plain,
~ ( member_r @ right_forkee @ ( rID_G_r_l_v @ s_1 ) ),
inference(fof_nnf,[status(thm)],[c_0_6]) ).
thf(c_0_10,negated_conjecture,
r3 = right_forkee,
inference(fof_simplification,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
! [X1455: r > option1457017436_r_l_v,X1456: r,X1457: produc1156025366_r_l_v] :
( ( ( X1455 @ X1456 )
!= ( some_P1807977723_r_l_v @ X1457 ) )
| ( member_r @ X1456 @ ( rID_G_r_l_v @ X1455 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_24_RID_092_060_094sub_062GI_I1_J])])]) ).
thf(c_0_12,plain,
! [X2068: option1457017436_r_l_v] :
( ( X2068 = none_P277133687_r_l_v )
| ( X2068
= ( some_P1807977723_r_l_v @ ( esk89_1 @ X2068 ) ) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
thf(c_0_13,plain,
~ ( member_r @ right_forkee @ ( rID_G_r_l_v @ s_1 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_14,negated_conjecture,
r3 = right_forkee,
inference(split_conjunct,[status(thm)],[c_0_10]) ).
thf(c_0_15,plain,
! [X3: r > option1457017436_r_l_v,X2: r,X17: produc1156025366_r_l_v] :
( ( member_r @ X2 @ ( rID_G_r_l_v @ X3 ) )
| ( ( X3 @ X2 )
!= ( some_P1807977723_r_l_v @ X17 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
thf(c_0_16,plain,
! [X35: option1457017436_r_l_v] :
( ( X35 = none_P277133687_r_l_v )
| ( X35
= ( some_P1807977723_r_l_v @ ( esk89_1 @ X35 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_17,plain,
! [X46: produc1156025366_r_l_v] :
( none_P277133687_r_l_v
!= ( some_P1807977723_r_l_v @ X46 ) ),
inference(fof_simplification,[status(thm)],[fact_77_option_Odistinct_I1_J]) ).
thf(c_0_18,plain,
~ ( member_r @ r3 @ ( rID_G_r_l_v @ s_1 ) ),
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
thf(c_0_19,plain,
! [X2: r,X3: r > option1457017436_r_l_v] :
( ( ( X3 @ X2 )
= none_P277133687_r_l_v )
| ( member_r @ X2 @ ( rID_G_r_l_v @ X3 ) ) ),
inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16])]) ).
thf(c_0_20,plain,
! [X2072: produc1156025366_r_l_v] :
( none_P277133687_r_l_v
!= ( some_P1807977723_r_l_v @ X2072 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_17])]) ).
thf(c_0_21,plain,
( ( s_1 @ r3 )
= ( some_P1807977723_r_l_v @ ( produc297528454_r_l_v @ sigma2 @ ( produc1834103605_r_l_v @ tau2 @ ( plug_r_l_v @ e2 @ ( rfork_r_l_v @ e4 ) ) ) ) ) ),
inference(split_conjunct,[status(thm)],[fact_6_local_Ofork_I2_J]) ).
thf(c_0_22,plain,
( ( s_1 @ r3 )
= none_P277133687_r_l_v ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
thf(c_0_23,plain,
! [X17: produc1156025366_r_l_v] :
( none_P277133687_r_l_v
!= ( some_P1807977723_r_l_v @ X17 ) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
thf(c_0_24,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_21,c_0_22]),c_0_23]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP046^1 : 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 : n026.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 19:44:27 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.21/0.28 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.Xsp77f5Eda/E---3.1_1089700.p
% 0.44/0.43 % Version: 3.5.1-ho
% 0.44/0.43 % Preprocessing class: HSLMSMSMSSLNHFA.
% 0.44/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.43 % Starting new_ho_11 with 1500s (5) cores
% 0.44/0.43 % Starting additional_ho_5 with 300s (1) cores
% 0.44/0.43 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.44/0.43 % Starting full_lambda_7 with 300s (1) cores
% 0.44/0.43 % full_lambda_7 with pid 1089719 completed with status 0
% 0.44/0.43 % Result found by full_lambda_7
% 0.44/0.43 % Preprocessing class: HSLMSMSMSSLNHFA.
% 0.44/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.43 % Starting new_ho_11 with 1500s (5) cores
% 0.44/0.43 % Starting additional_ho_5 with 300s (1) cores
% 0.44/0.43 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.44/0.43 % Starting full_lambda_7 with 300s (1) cores
% 0.44/0.43 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true))
% 0.44/0.43 % SinE strategy is GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true)
% 0.44/0.43 % Search class: HGHSM-FSLM33-DHFFFMBN
% 0.44/0.43 % partial match(1): HGHSM-FSLM33-DHFFFSBN
% 0.44/0.43 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.43 % Starting SubtermCWHack with 28s (1) cores
% 0.44/0.43 % SubtermCWHack with pid 1089742 completed with status 0
% 0.44/0.43 % Result found by SubtermCWHack
% 0.44/0.43 % Preprocessing class: HSLMSMSMSSLNHFA.
% 0.44/0.43 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.44/0.43 % Starting new_ho_11 with 1500s (5) cores
% 0.44/0.43 % Starting additional_ho_5 with 300s (1) cores
% 0.44/0.43 % Starting new_ho_10_cnf2 with 300s (1) cores
% 0.44/0.43 % Starting full_lambda_7 with 300s (1) cores
% 0.44/0.43 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true))
% 0.44/0.43 % SinE strategy is GSinE(CountTerms,hypos,2.5,,3,20000,1.0,true)
% 0.44/0.43 % Search class: HGHSM-FSLM33-DHFFFMBN
% 0.44/0.43 % partial match(1): HGHSM-FSLM33-DHFFFSBN
% 0.44/0.43 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.44/0.43 % Starting SubtermCWHack with 28s (1) cores
% 0.44/0.43 % Preprocessing time : 0.010 s
% 0.44/0.43
% 0.44/0.43 % Proof found!
% 0.44/0.43 % SZS status Theorem
% 0.44/0.43 % SZS output start CNFRefutation
% See solution above
% 0.44/0.43 % Parsed axioms : 522
% 0.44/0.43 % Removed by relevancy pruning/SinE : 312
% 0.44/0.43 % Initial clauses : 431
% 0.44/0.43 % Removed in clause preprocessing : 57
% 0.44/0.43 % Initial clauses in saturation : 374
% 0.44/0.43 % Processed clauses : 561
% 0.44/0.43 % ...of these trivial : 18
% 0.44/0.43 % ...subsumed : 179
% 0.44/0.43 % ...remaining for further processing : 363
% 0.44/0.43 % Other redundant clauses eliminated : 109
% 0.44/0.43 % Clauses deleted for lack of memory : 0
% 0.44/0.43 % Backward-subsumed : 1
% 0.44/0.43 % Backward-rewritten : 6
% 0.44/0.43 % Generated clauses : 1092
% 0.44/0.43 % ...of the previous two non-redundant : 776
% 0.44/0.43 % ...aggressively subsumed : 0
% 0.44/0.43 % Contextual simplify-reflections : 0
% 0.44/0.43 % Paramodulations : 927
% 0.44/0.43 % Factorizations : 8
% 0.44/0.43 % NegExts : 0
% 0.44/0.43 % Equation resolutions : 119
% 0.44/0.43 % Disequality decompositions : 0
% 0.44/0.43 % Total rewrite steps : 369
% 0.44/0.43 % ...of those cached : 258
% 0.44/0.43 % Propositional unsat checks : 0
% 0.44/0.43 % Propositional check models : 0
% 0.44/0.43 % Propositional check unsatisfiable : 0
% 0.44/0.43 % Propositional clauses : 0
% 0.44/0.43 % Propositional clauses after purity: 0
% 0.44/0.43 % Propositional unsat core size : 0
% 0.44/0.43 % Propositional preprocessing time : 0.000
% 0.44/0.43 % Propositional encoding time : 0.000
% 0.44/0.43 % Propositional solver time : 0.000
% 0.44/0.43 % Success case prop preproc time : 0.000
% 0.44/0.43 % Success case prop encoding time : 0.000
% 0.44/0.43 % Success case prop solver time : 0.000
% 0.44/0.43 % Current number of processed clauses : 338
% 0.44/0.43 % Positive orientable unit clauses : 95
% 0.44/0.43 % Positive unorientable unit clauses: 0
% 0.44/0.43 % Negative unit clauses : 48
% 0.44/0.43 % Non-unit-clauses : 195
% 0.44/0.43 % Current number of unprocessed clauses: 586
% 0.44/0.43 % ...number of literals in the above : 2050
% 0.44/0.43 % Current number of archived formulas : 0
% 0.44/0.43 % Current number of archived clauses : 11
% 0.44/0.43 % Clause-clause subsumption calls (NU) : 9419
% 0.44/0.43 % Rec. Clause-clause subsumption calls : 7754
% 0.44/0.43 % Non-unit clause-clause subsumptions : 110
% 0.44/0.43 % Unit Clause-clause subsumption calls : 1042
% 0.44/0.43 % Rewrite failures with RHS unbound : 0
% 0.44/0.43 % BW rewrite match attempts : 94
% 0.44/0.43 % BW rewrite match successes : 4
% 0.44/0.43 % Condensation attempts : 0
% 0.44/0.43 % Condensation successes : 0
% 0.44/0.43 % Termbank termtop insertions : 64930
% 0.44/0.43 % Search garbage collected termcells : 15721
% 0.44/0.43
% 0.44/0.43 % -------------------------------------------------
% 0.44/0.43 % User time : 0.094 s
% 0.44/0.43 % System time : 0.015 s
% 0.44/0.43 % Total time : 0.109 s
% 0.44/0.43 % Maximum resident set size: 7040 pages
% 0.44/0.43
% 0.44/0.43 % -------------------------------------------------
% 0.44/0.43 % User time : 0.113 s
% 0.44/0.43 % System time : 0.023 s
% 0.44/0.43 % Total time : 0.136 s
% 0.44/0.43 % Maximum resident set size: 5888 pages
% 0.44/0.43 % E exiting
%------------------------------------------------------------------------------