TSTP Solution File: ITP180^1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP180^1 : TPTP v8.2.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 22:16:42 EDT 2024
% Result : Theorem 0.61s 0.59s
% Output : CNFRefutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 28
% Syntax : Number of formulae : 40 ( 12 unt; 23 typ; 0 def)
% Number of atoms : 26 ( 3 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 200 ( 10 ~; 7 |; 0 &; 181 @)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 8 avg)
% Number of types : 8 ( 7 usr)
% Number of type conns : 21 ( 21 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 16 usr; 4 con; 0-3 aty)
% Number of variables : 26 ( 0 ^ 24 !; 2 ?; 26 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
standard_Constant_V: $tType ).
thf(decl_sort2,type,
product_prod_V_V: $tType ).
thf(decl_sort3,type,
v: $tType ).
thf(decl_sort4,type,
set_Product_prod_V_V: $tType ).
thf(decl_sort5,type,
v2: $tType ).
thf(decl_sort6,type,
set_V: $tType ).
thf(decl_sort7,type,
labele2115946735nt_V_V: $tType ).
thf(decl_27,type,
bNF_Gr_V_V2: set_V > ( v > v ) > set_Product_prod_V_V ).
thf(decl_33,type,
standard_S_Const_V: v2 > standard_Constant_V ).
thf(decl_38,type,
getRel1432786916nt_V_V: standard_Constant_V > labele2115946735nt_V_V > set_Product_prod_V_V ).
thf(decl_47,type,
graph_1808119_V_V_V: labele2115946735nt_V_V > labele2115946735nt_V_V > set_Product_prod_V_V > $o ).
thf(decl_60,type,
labele1134902411nt_V_V: labele2115946735nt_V_V > set_V ).
thf(decl_64,type,
map_gr907434255tant_V: set_Product_prod_V_V > labele2115946735nt_V_V > labele2115946735nt_V_V ).
thf(decl_104,type,
product_Pair_V_V2: v > v > product_prod_V_V ).
thf(decl_110,type,
id_on_V2: set_V > set_Product_prod_V_V ).
thf(decl_149,type,
member2015049524od_V_V: product_prod_V_V > set_Product_prod_V_V > $o ).
thf(decl_153,type,
g: labele2115946735nt_V_V ).
thf(decl_155,type,
h: v > v ).
thf(decl_156,type,
m: v2 > v ).
thf(decl_158,type,
xa: v2 ).
thf(decl_159,type,
y: v2 ).
thf(decl_161,type,
esk2_1: product_prod_V_V > v ).
thf(decl_162,type,
esk3_1: product_prod_V_V > v ).
thf(fact_38_getRel__subgraph,axiom,
! [X27: v,X28: v,X29: standard_Constant_V,X30: labele2115946735nt_V_V,X67: labele2115946735nt_V_V] :
( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X27 @ X28 ) @ ( getRel1432786916nt_V_V @ X29 @ X30 ) )
=> ( ( graph_1808119_V_V_V @ X30 @ X67 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X30 ) ) )
=> ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X27 @ X28 ) @ ( getRel1432786916nt_V_V @ X29 @ X67 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_38_getRel__subgraph) ).
thf(fact_22_surj__pair,axiom,
! [X34: product_prod_V_V] :
? [X1: v,X35: v] :
( X34
= ( product_Pair_V_V2 @ X1 @ X35 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_22_surj__pair) ).
thf(conj_0,conjecture,
member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ g ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(fact_8_h_I3_J,axiom,
graph_1808119_V_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) @ g @ ( id_on_V2 @ ( labele1134902411nt_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8_h_I3_J) ).
thf(fact_6__092_060open_062_Im_Ax_M_Am_Ax_J_A_092_060in_062_AgetRel_A_IS__Const_Ay_J_A_Imap__graph__fn_AG_H_Ah_J_092_060close_062,axiom,
member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6__092_060open_062_Im_Ax_M_Am_Ax_J_A_092_060in_062_AgetRel_A_IS__Const_Ay_J_A_Imap__graph__fn_AG_H_Ah_J_092_060close_062) ).
thf(c_0_5,plain,
! [X933: v,X934: v,X935: standard_Constant_V,X936: labele2115946735nt_V_V,X937: labele2115946735nt_V_V] :
( ~ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X933 @ X934 ) @ ( getRel1432786916nt_V_V @ X935 @ X936 ) )
| ~ ( graph_1808119_V_V_V @ X936 @ X937 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X936 ) ) )
| ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X933 @ X934 ) @ ( getRel1432786916nt_V_V @ X935 @ X937 ) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_38_getRel__subgraph])])]) ).
thf(c_0_6,plain,
! [X848: product_prod_V_V] :
( X848
= ( product_Pair_V_V2 @ ( esk2_1 @ X848 ) @ ( esk3_1 @ X848 ) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[fact_22_surj__pair])]) ).
thf(c_0_7,plain,
! [X1: v,X4: v,X8: standard_Constant_V,X67: labele2115946735nt_V_V,X30: labele2115946735nt_V_V] :
( ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X1 @ X4 ) @ ( getRel1432786916nt_V_V @ X8 @ X67 ) )
| ~ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ X1 @ X4 ) @ ( getRel1432786916nt_V_V @ X8 @ X30 ) )
| ~ ( graph_1808119_V_V_V @ X30 @ X67 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X30 ) ) ) ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_8,plain,
! [X9: product_prod_V_V] :
( X9
= ( product_Pair_V_V2 @ ( esk2_1 @ X9 ) @ ( esk3_1 @ X9 ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_9,negated_conjecture,
~ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ g ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
thf(c_0_10,plain,
! [X8: standard_Constant_V,X30: labele2115946735nt_V_V,X9: product_prod_V_V,X67: labele2115946735nt_V_V] :
( ( member2015049524od_V_V @ X9 @ ( getRel1432786916nt_V_V @ X8 @ X30 ) )
| ~ ( graph_1808119_V_V_V @ X67 @ X30 @ ( id_on_V2 @ ( labele1134902411nt_V_V @ X67 ) ) )
| ~ ( member2015049524od_V_V @ X9 @ ( getRel1432786916nt_V_V @ X8 @ X67 ) ) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
thf(c_0_11,plain,
graph_1808119_V_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) @ g @ ( id_on_V2 @ ( labele1134902411nt_V_V @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ) ),
inference(split_conjunct,[status(thm)],[fact_8_h_I3_J]) ).
thf(c_0_12,negated_conjecture,
~ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ g ) ),
inference(fof_nnf,[status(thm)],[c_0_9]) ).
thf(c_0_13,plain,
! [X9: product_prod_V_V,X8: standard_Constant_V] :
( ( member2015049524od_V_V @ X9 @ ( getRel1432786916nt_V_V @ X8 @ g ) )
| ~ ( member2015049524od_V_V @ X9 @ ( getRel1432786916nt_V_V @ X8 @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ) ) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
thf(c_0_14,plain,
member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ ( map_gr907434255tant_V @ ( bNF_Gr_V_V2 @ ( labele1134902411nt_V_V @ g ) @ h ) @ g ) ),
inference(split_conjunct,[status(thm)],[fact_6__092_060open_062_Im_Ax_M_Am_Ax_J_A_092_060in_062_AgetRel_A_IS__Const_Ay_J_A_Imap__graph__fn_AG_H_Ah_J_092_060close_062]) ).
thf(c_0_15,negated_conjecture,
~ ( member2015049524od_V_V @ ( product_Pair_V_V2 @ ( m @ xa ) @ ( m @ xa ) ) @ ( getRel1432786916nt_V_V @ ( standard_S_Const_V @ y ) @ g ) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
thf(c_0_16,plain,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ITP180^1 : TPTP v8.2.0. Released v7.5.0.
% 0.04/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat May 18 17:25:08 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running higher-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.61/0.58 # Version: 3.1.0-ho
% 0.61/0.58 # Preprocessing class: HSLMSMSMSSMNHFA.
% 0.61/0.58 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.61/0.58 # Starting full_lambda_6 with 1200s (4) cores
% 0.61/0.58 # Starting additional_ho_6 with 300s (1) cores
% 0.61/0.58 # Starting new_ho_9 with 300s (1) cores
% 0.61/0.58 # Starting full_lambda_3 with 300s (1) cores
% 0.61/0.58 # Starting post_as_ho6 with 300s (1) cores
% 0.61/0.58 # post_as_ho6 with pid 29440 completed with status 0
% 0.61/0.58 # Result found by post_as_ho6
% 0.61/0.58 # Preprocessing class: HSLMSMSMSSMNHFA.
% 0.61/0.58 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.61/0.58 # Starting full_lambda_6 with 1200s (4) cores
% 0.61/0.58 # Starting additional_ho_6 with 300s (1) cores
% 0.61/0.58 # Starting new_ho_9 with 300s (1) cores
% 0.61/0.58 # Starting full_lambda_3 with 300s (1) cores
% 0.61/0.58 # Starting post_as_ho6 with 300s (1) cores
% 0.61/0.58 # SinE strategy is GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true)
% 0.61/0.58 # Search class: HGHSM-FFMM31-MHFFFSBN
% 0.61/0.58 # partial match(2): HGHSM-FSLM31-MHFFFSBN
% 0.61/0.58 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.61/0.58 # Starting new_ho_10 with 163s (1) cores
% 0.61/0.58 # new_ho_10 with pid 29446 completed with status 0
% 0.61/0.59 # Result found by new_ho_10
% 0.61/0.59 # Preprocessing class: HSLMSMSMSSMNHFA.
% 0.61/0.59 # Scheduled 5 strats onto 8 cores with 300 seconds (2400 total)
% 0.61/0.59 # Starting full_lambda_6 with 1200s (4) cores
% 0.61/0.59 # Starting additional_ho_6 with 300s (1) cores
% 0.61/0.59 # Starting new_ho_9 with 300s (1) cores
% 0.61/0.59 # Starting full_lambda_3 with 300s (1) cores
% 0.61/0.59 # Starting post_as_ho6 with 300s (1) cores
% 0.61/0.59 # SinE strategy is GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true)
% 0.61/0.59 # Search class: HGHSM-FFMM31-MHFFFSBN
% 0.61/0.59 # partial match(2): HGHSM-FSLM31-MHFFFSBN
% 0.61/0.59 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.61/0.59 # Starting new_ho_10 with 163s (1) cores
% 0.61/0.59 # Preprocessing time : 0.005 s
% 0.61/0.59 # Presaturation interreduction done
% 0.61/0.59
% 0.61/0.59 # Proof found!
% 0.61/0.59 # SZS status Theorem
% 0.61/0.59 # SZS output start CNFRefutation
% See solution above
% 0.61/0.59 # Parsed axioms : 537
% 0.61/0.59 # Removed by relevancy pruning/SinE : 473
% 0.61/0.59 # Initial clauses : 83
% 0.61/0.59 # Removed in clause preprocessing : 3
% 0.61/0.59 # Initial clauses in saturation : 80
% 0.61/0.59 # Processed clauses : 279
% 0.61/0.59 # ...of these trivial : 10
% 0.61/0.59 # ...subsumed : 68
% 0.61/0.59 # ...remaining for further processing : 201
% 0.61/0.59 # Other redundant clauses eliminated : 27
% 0.61/0.59 # Clauses deleted for lack of memory : 0
% 0.61/0.59 # Backward-subsumed : 1
% 0.61/0.59 # Backward-rewritten : 3
% 0.61/0.59 # Generated clauses : 596
% 0.61/0.59 # ...of the previous two non-redundant : 472
% 0.61/0.59 # ...aggressively subsumed : 0
% 0.61/0.59 # Contextual simplify-reflections : 0
% 0.61/0.59 # Paramodulations : 562
% 0.61/0.59 # Factorizations : 0
% 0.61/0.59 # NegExts : 0
% 0.61/0.59 # Equation resolutions : 31
% 0.61/0.59 # Disequality decompositions : 0
% 0.61/0.59 # Total rewrite steps : 313
% 0.61/0.59 # ...of those cached : 251
% 0.61/0.59 # Propositional unsat checks : 0
% 0.61/0.59 # Propositional check models : 0
% 0.61/0.59 # Propositional check unsatisfiable : 0
% 0.61/0.59 # Propositional clauses : 0
% 0.61/0.59 # Propositional clauses after purity: 0
% 0.61/0.59 # Propositional unsat core size : 0
% 0.61/0.59 # Propositional preprocessing time : 0.000
% 0.61/0.59 # Propositional encoding time : 0.000
% 0.61/0.59 # Propositional solver time : 0.000
% 0.61/0.59 # Success case prop preproc time : 0.000
% 0.61/0.59 # Success case prop encoding time : 0.000
% 0.61/0.59 # Success case prop solver time : 0.000
% 0.61/0.59 # Current number of processed clauses : 127
% 0.61/0.59 # Positive orientable unit clauses : 31
% 0.61/0.59 # Positive unorientable unit clauses: 0
% 0.61/0.59 # Negative unit clauses : 3
% 0.61/0.59 # Non-unit-clauses : 93
% 0.61/0.59 # Current number of unprocessed clauses: 306
% 0.61/0.59 # ...number of literals in the above : 1085
% 0.61/0.59 # Current number of archived formulas : 0
% 0.61/0.59 # Current number of archived clauses : 64
% 0.61/0.59 # Clause-clause subsumption calls (NU) : 2207
% 0.61/0.59 # Rec. Clause-clause subsumption calls : 1663
% 0.61/0.59 # Non-unit clause-clause subsumptions : 47
% 0.61/0.59 # Unit Clause-clause subsumption calls : 37
% 0.61/0.59 # Rewrite failures with RHS unbound : 0
% 0.61/0.59 # BW rewrite match attempts : 6
% 0.61/0.59 # BW rewrite match successes : 3
% 0.61/0.59 # Condensation attempts : 279
% 0.61/0.59 # Condensation successes : 4
% 0.61/0.59 # Termbank termtop insertions : 25205
% 0.61/0.59 # Search garbage collected termcells : 4611
% 0.61/0.59
% 0.61/0.59 # -------------------------------------------------
% 0.61/0.59 # User time : 0.060 s
% 0.61/0.59 # System time : 0.005 s
% 0.61/0.59 # Total time : 0.066 s
% 0.61/0.59 # Maximum resident set size: 3292 pages
% 0.61/0.59
% 0.61/0.59 # -------------------------------------------------
% 0.61/0.59 # User time : 0.077 s
% 0.61/0.59 # System time : 0.011 s
% 0.61/0.59 # Total time : 0.089 s
% 0.61/0.59 # Maximum resident set size: 2736 pages
% 0.61/0.59 % E---3.1 exiting
% 0.61/0.59 % E exiting
%------------------------------------------------------------------------------