%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP142^1 : 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 08:04:29 AM UTC 2026
% Result : Theorem 0.30s 0.42s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 23 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 47 ( 0 equ; 0 cnn)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 213 ( 20 ~; 16 |; 4 &; 169 @)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Number of types : 7 ( 6 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 17 ( 16 usr; 8 con; 0-3 aty)
% Number of variables : 34 ( 0 ^; 34 !; 0 ?; 34 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
produc2041926651_state: $tType ).
thf(decl_sort2,type,
produc410756839_state: $tType ).
thf(decl_sort3,type,
list_com: $tType ).
thf(decl_sort4,type,
com: $tType ).
thf(decl_sort5,type,
set_Pr1165141447_state: $tType ).
thf(decl_sort6,type,
state: $tType ).
thf(decl_44,type,
cons_com: com > list_com > list_com ).
thf(decl_51,type,
nil_com: list_com ).
thf(decl_85,type,
pHoare259243666_exec1: set_Pr1165141447_state ).
thf(decl_87,type,
pHoare806997636termis: list_com > state > $o ).
thf(decl_92,type,
exec: state > com > state > $o ).
thf(decl_93,type,
termi: com > state > $o ).
thf(decl_97,type,
produc1204172211_state: list_com > state > produc2041926651_state ).
thf(decl_104,type,
produc1909270103_state: produc2041926651_state > produc2041926651_state > produc410756839_state ).
thf(decl_122,type,
transi1302705790_state: set_Pr1165141447_state > set_Pr1165141447_state ).
thf(decl_137,type,
member1069318160_state: produc410756839_state > set_Pr1165141447_state > $o ).
thf(decl_142,type,
c: com ).
thf(decl_143,type,
c2: com ).
thf(decl_144,type,
cs: list_com ).
thf(decl_145,type,
s: state ).
thf(decl_146,type,
s2: state ).
thf(decl_284,type,
esk133_3: com > list_com > state > state ).
thf(conj_3,conjecture,
termi @ c2 @ s2,
file('/export/starexec/sandbox2/tmp/tmp.9J4LUhsSZK/E---3.1_838847.p',conj_3) ).
thf(fact_6_execs__pres__termis,axiom,
! [X5: list_com,X1: state,X2: list_com,X3: state] :
( ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ X5 @ X1 ) @ ( produc1204172211_state @ X2 @ X3 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) )
=> ( ( pHoare806997636termis @ X5 @ X1 )
=> ( pHoare806997636termis @ X2 @ X3 ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9J4LUhsSZK/E---3.1_838847.p',fact_6_execs__pres__termis) ).
thf(fact_1_termis_Osimps_I2_J,axiom,
! [X4: com,X5: list_com,X1: state] :
( ( pHoare806997636termis @ ( cons_com @ X4 @ X5 ) @ X1 )
<=> ( ( termi @ X4 @ X1 )
& ! [X6: state] :
( ( exec @ X1 @ X4 @ X6 )
=> ( pHoare806997636termis @ X5 @ X6 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9J4LUhsSZK/E---3.1_838847.p',fact_1_termis_Osimps_I2_J) ).
thf(conj_0,hypothesis,
member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( produc1204172211_state @ ( cons_com @ c2 @ cs ) @ s2 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ),
file('/export/starexec/sandbox2/tmp/tmp.9J4LUhsSZK/E---3.1_838847.p',conj_0) ).
thf(fact_2_termis_Osimps_I1_J,axiom,
! [X1: state] : ( pHoare806997636termis @ nil_com @ X1 ),
file('/export/starexec/sandbox2/tmp/tmp.9J4LUhsSZK/E---3.1_838847.p',fact_2_termis_Osimps_I1_J) ).
thf(conj_1,hypothesis,
termi @ c @ s,
file('/export/starexec/sandbox2/tmp/tmp.9J4LUhsSZK/E---3.1_838847.p',conj_1) ).
thf(c_0_6,negated_conjecture,
~ ( termi @ c2 @ s2 ),
inference(assume_negation,[status(cth)],[conj_3]) ).
thf(c_0_7,plain,
! [X2086: list_com,X2087: state,X2088: list_com,X2089: state] :
( ~ ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ X2086 @ X2087 ) @ ( produc1204172211_state @ X2088 @ X2089 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) )
| ~ ( pHoare806997636termis @ X2086 @ X2087 )
| ( pHoare806997636termis @ X2088 @ X2089 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_6_execs__pres__termis])])]) ).
thf(c_0_8,negated_conjecture,
~ ( termi @ c2 @ s2 ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
thf(c_0_9,plain,
! [X2073: com,X2074: list_com,X2075: state,X2076: state,X2077: com,X2078: list_com,X2079: state] :
( ( ( termi @ X2073 @ X2075 )
| ~ ( pHoare806997636termis @ ( cons_com @ X2073 @ X2074 ) @ X2075 ) )
& ( ~ ( exec @ X2075 @ X2073 @ X2076 )
| ( pHoare806997636termis @ X2074 @ X2076 )
| ~ ( pHoare806997636termis @ ( cons_com @ X2073 @ X2074 ) @ X2075 ) )
& ( ( exec @ X2079 @ X2077 @ ( esk133_3 @ X2077 @ X2078 @ X2079 ) )
| ~ ( termi @ X2077 @ X2079 )
| ( pHoare806997636termis @ ( cons_com @ X2077 @ X2078 ) @ X2079 ) )
& ( ~ ( pHoare806997636termis @ X2078 @ ( esk133_3 @ X2077 @ X2078 @ X2079 ) )
| ~ ( termi @ X2077 @ X2079 )
| ( pHoare806997636termis @ ( cons_com @ X2077 @ X2078 ) @ X2079 ) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_1_termis_Osimps_I2_J])])])])])])]) ).
thf(c_0_10,plain,
! [X5: list_com,X3: state,X2: list_com,X1: state] :
( ( pHoare806997636termis @ X5 @ X3 )
| ~ ( member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ X2 @ X1 ) @ ( produc1204172211_state @ X5 @ X3 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ) )
| ~ ( pHoare806997636termis @ X2 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,hypothesis,
member1069318160_state @ ( produc1909270103_state @ ( produc1204172211_state @ ( cons_com @ c @ nil_com ) @ s ) @ ( produc1204172211_state @ ( cons_com @ c2 @ cs ) @ s2 ) ) @ ( transi1302705790_state @ pHoare259243666_exec1 ),
inference(split_conjunct,[status(thm)],[conj_0]) ).
thf(c_0_12,negated_conjecture,
~ ( termi @ c2 @ s2 ),
inference(fof_nnf,[status(thm)],[c_0_8]) ).
thf(c_0_13,plain,
! [X2081: state] : ( pHoare806997636termis @ nil_com @ X2081 ),
inference(variable_rename,[status(thm)],[fact_2_termis_Osimps_I1_J]) ).
thf(c_0_14,plain,
! [X4: com,X2: list_com,X1: state] :
( ( termi @ X4 @ X1 )
| ~ ( pHoare806997636termis @ ( cons_com @ X4 @ X2 ) @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_15,hypothesis,
( ( pHoare806997636termis @ ( cons_com @ c2 @ cs ) @ s2 )
| ~ ( pHoare806997636termis @ ( cons_com @ c @ nil_com ) @ s ) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_16,negated_conjecture,
~ ( termi @ c2 @ s2 ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_17,plain,
! [X4: com,X2: list_com,X1: state] :
( ( pHoare806997636termis @ ( cons_com @ X4 @ X2 ) @ X1 )
| ~ ( pHoare806997636termis @ X2 @ ( esk133_3 @ X4 @ X2 @ X1 ) )
| ~ ( termi @ X4 @ X1 ) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
thf(c_0_18,plain,
! [X1: state] : ( pHoare806997636termis @ nil_com @ X1 ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
thf(c_0_19,hypothesis,
~ ( pHoare806997636termis @ ( cons_com @ c @ nil_com ) @ s ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).
thf(c_0_20,plain,
! [X4: com,X1: state] :
( ( pHoare806997636termis @ ( cons_com @ X4 @ nil_com ) @ X1 )
| ~ ( termi @ X4 @ X1 ) ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
thf(c_0_21,hypothesis,
termi @ c @ s,
inference(split_conjunct,[status(thm)],[conj_1]) ).
thf(c_0_22,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP142^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n016.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 20:04:34 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 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.9J4LUhsSZK/E---3.1_838847.p
% 0.30/0.42 % Version: 3.5.1-ho
% 0.30/0.42 % Preprocessing class: HSLMSMSMSSMNHFA.
% 0.30/0.42 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.42 % Starting full_lambda_6 with 1200s (4) cores
% 0.30/0.42 % Starting additional_ho_6 with 300s (1) cores
% 0.30/0.42 % Starting new_ho_9 with 300s (1) cores
% 0.30/0.42 % Starting full_lambda_3 with 300s (1) cores
% 0.30/0.42 % Starting post_as_ho6 with 300s (1) cores
% 0.30/0.42 % post_as_ho6 with pid 838864 completed with status 0
% 0.30/0.42 % Result found by post_as_ho6
% 0.30/0.42 % Preprocessing class: HSLMSMSMSSMNHFA.
% 0.30/0.42 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.42 % Starting full_lambda_6 with 1200s (4) cores
% 0.30/0.42 % Starting additional_ho_6 with 300s (1) cores
% 0.30/0.42 % Starting new_ho_9 with 300s (1) cores
% 0.30/0.42 % Starting full_lambda_3 with 300s (1) cores
% 0.30/0.42 % Starting post_as_ho6 with 300s (1) cores
% 0.30/0.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true))
% 0.30/0.42 % SinE strategy is GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true)
% 0.30/0.42 % Search class: HGHSM-FSLF31-MHFFFSBN
% 0.30/0.42 % partial match(1): HGHSM-FSLM31-MHFFFSBN
% 0.30/0.42 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.30/0.42 % Starting SubtermCWHack with 28s (1) cores
% 0.30/0.42 % SubtermCWHack with pid 838866 completed with status 0
% 0.30/0.42 % Result found by SubtermCWHack
% 0.30/0.42 % Preprocessing class: HSLMSMSMSSMNHFA.
% 0.30/0.42 % Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.42 % Starting full_lambda_6 with 1200s (4) cores
% 0.30/0.42 % Starting additional_ho_6 with 300s (1) cores
% 0.30/0.42 % Starting new_ho_9 with 300s (1) cores
% 0.30/0.42 % Starting full_lambda_3 with 300s (1) cores
% 0.30/0.42 % Starting post_as_ho6 with 300s (1) cores
% 0.30/0.42 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true))
% 0.30/0.42 % SinE strategy is GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true)
% 0.30/0.42 % Search class: HGHSM-FSLF31-MHFFFSBN
% 0.30/0.42 % partial match(1): HGHSM-FSLM31-MHFFFSBN
% 0.30/0.42 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.30/0.42 % Starting SubtermCWHack with 28s (1) cores
% 0.30/0.42 % Preprocessing time : 0.006 s
% 0.30/0.42
% 0.30/0.42 % Proof found!
% 0.30/0.42 % SZS status Theorem
% 0.30/0.42 % SZS output start CNFRefutation
% See solution above
% 0.30/0.42 % Parsed axioms : 522
% 0.30/0.42 % Removed by relevancy pruning/SinE : 405
% 0.30/0.42 % Initial clauses : 233
% 0.30/0.42 % Removed in clause preprocessing : 14
% 0.30/0.42 % Initial clauses in saturation : 219
% 0.30/0.42 % Processed clauses : 541
% 0.30/0.42 % ...of these trivial : 40
% 0.30/0.42 % ...subsumed : 236
% 0.30/0.42 % ...remaining for further processing : 265
% 0.30/0.42 % Other redundant clauses eliminated : 142
% 0.30/0.42 % Clauses deleted for lack of memory : 0
% 0.30/0.42 % Backward-subsumed : 3
% 0.30/0.42 % Backward-rewritten : 24
% 0.30/0.42 % Generated clauses : 1002
% 0.30/0.42 % ...of the previous two non-redundant : 744
% 0.30/0.42 % ...aggressively subsumed : 0
% 0.30/0.42 % Contextual simplify-reflections : 1
% 0.30/0.42 % Paramodulations : 844
% 0.30/0.42 % Factorizations : 0
% 0.30/0.42 % NegExts : 0
% 0.30/0.42 % Equation resolutions : 166
% 0.30/0.42 % Disequality decompositions : 0
% 0.30/0.42 % Total rewrite steps : 324
% 0.30/0.42 % ...of those cached : 220
% 0.30/0.42 % Propositional unsat checks : 0
% 0.30/0.42 % Propositional check models : 0
% 0.30/0.42 % Propositional check unsatisfiable : 0
% 0.30/0.42 % Propositional clauses : 0
% 0.30/0.42 % Propositional clauses after purity: 0
% 0.30/0.42 % Propositional unsat core size : 0
% 0.30/0.42 % Propositional preprocessing time : 0.000
% 0.30/0.42 % Propositional encoding time : 0.000
% 0.30/0.42 % Propositional solver time : 0.000
% 0.30/0.42 % Success case prop preproc time : 0.000
% 0.30/0.42 % Success case prop encoding time : 0.000
% 0.30/0.42 % Success case prop solver time : 0.000
% 0.30/0.42 % Current number of processed clauses : 219
% 0.30/0.42 % Positive orientable unit clauses : 52
% 0.30/0.42 % Positive unorientable unit clauses: 0
% 0.30/0.42 % Negative unit clauses : 34
% 0.30/0.42 % Non-unit-clauses : 133
% 0.30/0.42 % Current number of unprocessed clauses: 375
% 0.30/0.42 % ...number of literals in the above : 918
% 0.30/0.42 % Current number of archived formulas : 0
% 0.30/0.42 % Current number of archived clauses : 28
% 0.30/0.42 % Clause-clause subsumption calls (NU) : 4160
% 0.30/0.42 % Rec. Clause-clause subsumption calls : 3351
% 0.30/0.42 % Non-unit clause-clause subsumptions : 140
% 0.30/0.42 % Unit Clause-clause subsumption calls : 637
% 0.30/0.42 % Rewrite failures with RHS unbound : 0
% 0.30/0.42 % BW rewrite match attempts : 21
% 0.30/0.42 % BW rewrite match successes : 20
% 0.30/0.42 % Condensation attempts : 0
% 0.30/0.42 % Condensation successes : 0
% 0.30/0.42 % Termbank termtop insertions : 34953
% 0.30/0.42 % Search garbage collected termcells : 11010
% 0.30/0.42
% 0.30/0.42 % -------------------------------------------------
% 0.30/0.42 % User time : 0.052 s
% 0.30/0.42 % System time : 0.008 s
% 0.30/0.42 % Total time : 0.059 s
% 0.30/0.42 % Maximum resident set size: 6180 pages
% 0.30/0.42
% 0.30/0.42 % -------------------------------------------------
% 0.30/0.42 % User time : 0.075 s
% 0.30/0.42 % System time : 0.014 s
% 0.30/0.42 % Total time : 0.089 s
% 0.30/0.42 % Maximum resident set size: 6144 pages
% 0.30/0.42 % E exiting
%------------------------------------------------------------------------------