%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ITP153^1 : 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 : n007.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 08:04:31 AM UTC 2026
% Result : Theorem 0.20s 0.36s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 5 unt; 0 typ; 0 def)
% Number of atoms : 21 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 69 ( 7 ~; 4 |; 3 &; 54 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 6 ( 0 ^; 6 !; 0 ?; 6 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
set_Product_prod_a_a: $tType ).
thf(decl_sort2,type,
a: $tType ).
thf(decl_sort3,type,
set_a: $tType ).
thf(decl_sort4,type,
product_prod_a_a: $tType ).
thf(decl_70,type,
product_Pair_a_a: a > a > product_prod_a_a ).
thf(decl_101,type,
member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).
thf(decl_103,type,
member_a: a > set_a > $o ).
thf(decl_104,type,
carrier: set_a ).
thf(decl_105,type,
relation: set_Product_prod_a_a ).
thf(decl_106,type,
y: a ).
thf(decl_107,type,
z: a ).
thf(conj_0,conjecture,
( ( member_a @ z @ carrier )
& ( member_a @ y @ carrier ) ),
file('/export/starexec/sandbox2/tmp/tmp.6rMxIxBlgv/E---3.1_3856452.p',conj_0) ).
thf(fact_8_not__outside,axiom,
! [X3: a,X4: a] :
( ( member449909584od_a_a @ ( product_Pair_a_a @ X3 @ X4 ) @ relation )
=> ( member_a @ X3 @ carrier ) ),
file('/export/starexec/sandbox2/tmp/tmp.6rMxIxBlgv/E---3.1_3856452.p',fact_8_not__outside) ).
thf(fact_0_assms,axiom,
( ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation )
& ( member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation ) ),
file('/export/starexec/sandbox2/tmp/tmp.6rMxIxBlgv/E---3.1_3856452.p',fact_0_assms) ).
thf(c_0_3,negated_conjecture,
~ ( ( member_a @ z @ carrier )
& ( member_a @ y @ carrier ) ),
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(c_0_4,plain,
! [X1279: a,X1280: a] :
( ~ ( member449909584od_a_a @ ( product_Pair_a_a @ X1279 @ X1280 ) @ relation )
| ( member_a @ X1279 @ carrier ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_8_not__outside])])]) ).
thf(c_0_5,negated_conjecture,
( ~ ( member_a @ z @ carrier )
| ~ ( member_a @ y @ carrier ) ),
inference(fof_nnf,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])]) ).
thf(c_0_6,plain,
! [X1: a,X2: a] :
( ( member_a @ X1 @ carrier )
| ~ ( member449909584od_a_a @ ( product_Pair_a_a @ X1 @ X2 ) @ relation ) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
thf(c_0_7,plain,
member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation,
inference(split_conjunct,[status(thm)],[fact_0_assms]) ).
thf(c_0_8,plain,
member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation,
inference(split_conjunct,[status(thm)],[fact_0_assms]) ).
thf(c_0_9,negated_conjecture,
( ~ ( member_a @ z @ carrier )
| ~ ( member_a @ y @ carrier ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_10,plain,
member_a @ z @ carrier,
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
thf(c_0_11,plain,
member_a @ y @ carrier,
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
thf(c_0_12,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9,c_0_10])]),c_0_11])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP153^1 : 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 : n007.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 20:00:26 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
% 0.20/0.29 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.6rMxIxBlgv/E---3.1_3856452.p
% 0.20/0.36 % Version: 3.5.1-ho
% 0.20/0.36 % Preprocessing class: HSLSSMSMSSMCHFA.
% 0.20/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.36 % Starting full_lambda_5 with 1500s (5) cores
% 0.20/0.36 % Starting new_ho_12 with 300s (1) cores
% 0.20/0.36 % Starting pre_casc_5 with 300s (1) cores
% 0.20/0.36 % Starting full_lambda_9 with 300s (1) cores
% 0.20/0.36 % full_lambda_9 with pid 3856468 completed with status 0
% 0.20/0.36 % Result found by full_lambda_9
% 0.20/0.36 % Preprocessing class: HSLSSMSMSSMCHFA.
% 0.20/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.36 % Starting full_lambda_5 with 1500s (5) cores
% 0.20/0.36 % Starting new_ho_12 with 300s (1) cores
% 0.20/0.36 % Starting pre_casc_5 with 300s (1) cores
% 0.20/0.36 % Starting full_lambda_9 with 300s (1) cores
% 0.20/0.36 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4,,3,20000,3.0,true))
% 0.20/0.36 % SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.20/0.36 % Search class: HGHSM-FSLM31-DHFFFFBN
% 0.20/0.36 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.36 % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.36 % SubtermCWHack with pid 3856470 completed with status 0
% 0.20/0.36 % Result found by SubtermCWHack
% 0.20/0.36 % Preprocessing class: HSLSSMSMSSMCHFA.
% 0.20/0.36 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.36 % Starting full_lambda_5 with 1500s (5) cores
% 0.20/0.36 % Starting new_ho_12 with 300s (1) cores
% 0.20/0.36 % Starting pre_casc_5 with 300s (1) cores
% 0.20/0.36 % Starting full_lambda_9 with 300s (1) cores
% 0.20/0.36 % (lift_lambdas = 1, lambda_to_forall = 0,unroll_only_formulas = 1, sine = GSinE(CountFormulas,hypos,4,,3,20000,3.0,true))
% 0.20/0.36 % SinE strategy is GSinE(CountFormulas,hypos,4,,3,20000,3.0,true)
% 0.20/0.36 % Search class: HGHSM-FSLM31-DHFFFFBN
% 0.20/0.36 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.36 % Starting SubtermCWHack with 28s (1) cores
% 0.20/0.36 % Preprocessing time : 0.006 s
% 0.20/0.36
% 0.20/0.36 % Proof found!
% 0.20/0.36 % SZS status Theorem
% 0.20/0.36 % SZS output start CNFRefutation
% See solution above
% 0.20/0.36 % Parsed axioms : 452
% 0.20/0.36 % Removed by relevancy pruning/SinE : 257
% 0.20/0.36 % Initial clauses : 300
% 0.20/0.36 % Removed in clause preprocessing : 21
% 0.20/0.36 % Initial clauses in saturation : 279
% 0.20/0.36 % Processed clauses : 125
% 0.20/0.36 % ...of these trivial : 3
% 0.20/0.36 % ...subsumed : 27
% 0.20/0.36 % ...remaining for further processing : 94
% 0.20/0.36 % Other redundant clauses eliminated : 23
% 0.20/0.36 % Clauses deleted for lack of memory : 0
% 0.20/0.36 % Backward-subsumed : 1
% 0.20/0.36 % Backward-rewritten : 3
% 0.20/0.36 % Generated clauses : 81
% 0.20/0.36 % ...of the previous two non-redundant : 43
% 0.20/0.36 % ...aggressively subsumed : 0
% 0.20/0.36 % Contextual simplify-reflections : 0
% 0.20/0.36 % Paramodulations : 49
% 0.20/0.36 % Factorizations : 0
% 0.20/0.36 % NegExts : 0
% 0.20/0.36 % Equation resolutions : 25
% 0.20/0.36 % Disequality decompositions : 0
% 0.20/0.36 % Total rewrite steps : 36
% 0.20/0.36 % ...of those cached : 21
% 0.20/0.36 % Propositional unsat checks : 0
% 0.20/0.36 % Propositional check models : 0
% 0.20/0.36 % Propositional check unsatisfiable : 0
% 0.20/0.36 % Propositional clauses : 0
% 0.20/0.36 % Propositional clauses after purity: 0
% 0.20/0.36 % Propositional unsat core size : 0
% 0.20/0.36 % Propositional preprocessing time : 0.000
% 0.20/0.36 % Propositional encoding time : 0.000
% 0.20/0.36 % Propositional solver time : 0.000
% 0.20/0.36 % Success case prop preproc time : 0.000
% 0.20/0.36 % Success case prop encoding time : 0.000
% 0.20/0.36 % Success case prop solver time : 0.000
% 0.20/0.36 % Current number of processed clauses : 67
% 0.20/0.36 % Positive orientable unit clauses : 33
% 0.20/0.36 % Positive unorientable unit clauses: 0
% 0.20/0.36 % Negative unit clauses : 3
% 0.20/0.36 % Non-unit-clauses : 31
% 0.20/0.36 % Current number of unprocessed clauses: 197
% 0.20/0.36 % ...number of literals in the above : 675
% 0.20/0.36 % Current number of archived formulas : 0
% 0.20/0.36 % Current number of archived clauses : 6
% 0.20/0.36 % Clause-clause subsumption calls (NU) : 176
% 0.20/0.36 % Rec. Clause-clause subsumption calls : 169
% 0.20/0.36 % Non-unit clause-clause subsumptions : 14
% 0.20/0.36 % Unit Clause-clause subsumption calls : 15
% 0.20/0.36 % Rewrite failures with RHS unbound : 0
% 0.20/0.36 % BW rewrite match attempts : 5
% 0.20/0.36 % BW rewrite match successes : 3
% 0.20/0.36 % Condensation attempts : 0
% 0.20/0.36 % Condensation successes : 0
% 0.20/0.36 % Termbank termtop insertions : 29702
% 0.20/0.36 % Search garbage collected termcells : 9090
% 0.20/0.36
% 0.20/0.36 % -------------------------------------------------
% 0.20/0.36 % User time : 0.029 s
% 0.20/0.36 % System time : 0.007 s
% 0.20/0.36 % Total time : 0.036 s
% 0.20/0.36 % Maximum resident set size: 5948 pages
% 0.20/0.36
% 0.20/0.36 % -------------------------------------------------
% 0.20/0.36 % User time : 0.046 s
% 0.20/0.36 % System time : 0.011 s
% 0.20/0.36 % Total time : 0.058 s
% 0.20/0.36 % Maximum resident set size: 5888 pages
% 0.20/0.36 % E exiting
%------------------------------------------------------------------------------