TSTP Solution File: ITP074^1 by E---3.1.00
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : ITP074^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n007.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 : Sat May 4 08:06:52 EDT 2024
% Result : Theorem 0.40s 0.64s
% Output : CNFRefutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 19 ( 13 unt; 6 typ; 0 def)
% Number of atoms : 13 ( 12 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 68 ( 6 ~; 0 |; 0 &; 62 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 2 ^ 16 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
hF_Mirabelle_hf: $tType ).
thf(decl_24,type,
zero_z189798548lle_hf: hF_Mirabelle_hf ).
thf(decl_36,type,
hF_Mirabelle_hinsert: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(decl_38,type,
hF_Mirabelle_hpair: hF_Mirabelle_hf > hF_Mirabelle_hf > hF_Mirabelle_hf ).
thf(decl_49,type,
x: hF_Mirabelle_hf ).
thf(decl_50,type,
y: hF_Mirabelle_hf ).
thf(fact_18_hinsert__nonempty,axiom,
! [X1: hF_Mirabelle_hf,X14: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hinsert @ X1 @ X14 )
!= zero_z189798548lle_hf ),
file('/export/starexec/sandbox/tmp/tmp.hhGaC9xxeu/E---3.1_12582.p',fact_18_hinsert__nonempty) ).
thf(fact_13_hpair__def,axiom,
( hF_Mirabelle_hpair
= ( ^ [X10: hF_Mirabelle_hf,X11: hF_Mirabelle_hf] : ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ X10 @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ X10 @ ( hF_Mirabelle_hinsert @ X11 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.hhGaC9xxeu/E---3.1_12582.p',fact_13_hpair__def) ).
thf(conj_0,conjecture,
( ( hF_Mirabelle_hpair @ x @ y )
!= zero_z189798548lle_hf ),
file('/export/starexec/sandbox/tmp/tmp.hhGaC9xxeu/E---3.1_12582.p',conj_0) ).
thf(c_0_3,plain,
! [X1: hF_Mirabelle_hf,X14: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hinsert @ X1 @ X14 )
!= zero_z189798548lle_hf ),
inference(fof_simplification,[status(thm)],[fact_18_hinsert__nonempty]) ).
thf(c_0_4,plain,
! [X741: hF_Mirabelle_hf,X742: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ X741 @ X742 )
= ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ X741 @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ X741 @ ( hF_Mirabelle_hinsert @ X742 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ),
inference(fof_simplification,[status(thm)],[inference(fof_simplification,[status(thm)],[fact_13_hpair__def])]) ).
thf(c_0_5,plain,
! [X1178: hF_Mirabelle_hf,X1179: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hinsert @ X1178 @ X1179 )
!= zero_z189798548lle_hf ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_3])]) ).
thf(c_0_6,plain,
! [X808: hF_Mirabelle_hf,X809: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ X808 @ X809 )
= ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ X808 @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ X808 @ ( hF_Mirabelle_hinsert @ X809 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ),
inference(variable_rename,[status(thm)],[c_0_4]) ).
thf(c_0_7,negated_conjecture,
( ( hF_Mirabelle_hpair @ x @ y )
= zero_z189798548lle_hf ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[conj_0])]) ).
thf(c_0_8,plain,
! [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hinsert @ X1 @ X2 )
!= zero_z189798548lle_hf ),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
thf(c_0_9,plain,
! [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ X1 @ X2 )
= ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ X1 @ zero_z189798548lle_hf ) @ ( hF_Mirabelle_hinsert @ ( hF_Mirabelle_hinsert @ X1 @ ( hF_Mirabelle_hinsert @ X2 @ zero_z189798548lle_hf ) ) @ zero_z189798548lle_hf ) ) ),
inference(split_conjunct,[status(thm)],[c_0_6]) ).
thf(c_0_10,negated_conjecture,
( ( hF_Mirabelle_hpair @ x @ y )
= zero_z189798548lle_hf ),
inference(split_conjunct,[status(thm)],[c_0_7]) ).
thf(c_0_11,plain,
! [X1: hF_Mirabelle_hf,X2: hF_Mirabelle_hf] :
( ( hF_Mirabelle_hpair @ X1 @ X2 )
!= zero_z189798548lle_hf ),
inference(spm,[status(thm)],[c_0_8,c_0_9]) ).
thf(c_0_12,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_10,c_0_11]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.17 % Problem : ITP074^1 : TPTP v8.1.2. Released v7.5.0.
% 0.16/0.18 % Command : run_E %s %d THM
% 0.18/0.40 % Computer : n007.cluster.edu
% 0.18/0.40 % Model : x86_64 x86_64
% 0.18/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.40 % Memory : 8042.1875MB
% 0.18/0.40 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.40 % CPULimit : 300
% 0.18/0.40 % WCLimit : 300
% 0.18/0.40 % DateTime : Fri May 3 12:38:05 EDT 2024
% 0.18/0.40 % CPUTime :
% 0.39/0.57 Running higher-order theorem proving
% 0.39/0.57 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/tmp/tmp.hhGaC9xxeu/E---3.1_12582.p
% 0.40/0.64 # Version: 3.1.0-ho
% 0.40/0.64 # Preprocessing class: HSLSSMSSSSSNSFA.
% 0.40/0.64 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.64 # Starting new_ho_11 with 1500s (5) cores
% 0.40/0.64 # Starting post_as_ho6 with 300s (1) cores
% 0.40/0.64 # Starting sh9 with 300s (1) cores
% 0.40/0.64 # Starting sh5l with 300s (1) cores
% 0.40/0.64 # post_as_ho6 with pid 12711 completed with status 0
% 0.40/0.64 # Result found by post_as_ho6
% 0.40/0.64 # Preprocessing class: HSLSSMSSSSSNSFA.
% 0.40/0.64 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.64 # Starting new_ho_11 with 1500s (5) cores
% 0.40/0.64 # Starting post_as_ho6 with 300s (1) cores
% 0.40/0.64 # SinE strategy is GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true)
% 0.40/0.64 # Search class: HGHSM-FSLF31-MSFFFSBN
% 0.40/0.64 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.40/0.64 # Starting new_ho_10 with 163s (1) cores
% 0.40/0.64 # new_ho_10 with pid 12722 completed with status 0
% 0.40/0.64 # Result found by new_ho_10
% 0.40/0.64 # Preprocessing class: HSLSSMSSSSSNSFA.
% 0.40/0.64 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.40/0.64 # Starting new_ho_11 with 1500s (5) cores
% 0.40/0.64 # Starting post_as_ho6 with 300s (1) cores
% 0.40/0.64 # SinE strategy is GSinE(CountFormulas,,true,2.0,0,3,20000,1.0,true)
% 0.40/0.64 # Search class: HGHSM-FSLF31-MSFFFSBN
% 0.40/0.64 # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 0.40/0.64 # Starting new_ho_10 with 163s (1) cores
% 0.40/0.64 # Preprocessing time : 0.004 s
% 0.40/0.64 # Presaturation interreduction done
% 0.40/0.64
% 0.40/0.64 # Proof found!
% 0.40/0.64 # SZS status Theorem
% 0.40/0.64 # SZS output start CNFRefutation
% See solution above
% 0.40/0.64 # Parsed axioms : 376
% 0.40/0.64 # Removed by relevancy pruning/SinE : 217
% 0.40/0.64 # Initial clauses : 250
% 0.40/0.64 # Removed in clause preprocessing : 7
% 0.40/0.64 # Initial clauses in saturation : 243
% 0.40/0.64 # Processed clauses : 395
% 0.40/0.64 # ...of these trivial : 25
% 0.40/0.64 # ...subsumed : 93
% 0.40/0.64 # ...remaining for further processing : 277
% 0.40/0.64 # Other redundant clauses eliminated : 45
% 0.40/0.64 # Clauses deleted for lack of memory : 0
% 0.40/0.64 # Backward-subsumed : 2
% 0.40/0.64 # Backward-rewritten : 2
% 0.40/0.64 # Generated clauses : 969
% 0.40/0.64 # ...of the previous two non-redundant : 607
% 0.40/0.64 # ...aggressively subsumed : 0
% 0.40/0.64 # Contextual simplify-reflections : 0
% 0.40/0.64 # Paramodulations : 920
% 0.40/0.64 # Factorizations : 0
% 0.40/0.64 # NegExts : 0
% 0.40/0.64 # Equation resolutions : 50
% 0.40/0.64 # Disequality decompositions : 0
% 0.40/0.64 # Total rewrite steps : 386
% 0.40/0.64 # ...of those cached : 281
% 0.40/0.64 # Propositional unsat checks : 0
% 0.40/0.64 # Propositional check models : 0
% 0.40/0.64 # Propositional check unsatisfiable : 0
% 0.40/0.64 # Propositional clauses : 0
% 0.40/0.64 # Propositional clauses after purity: 0
% 0.40/0.64 # Propositional unsat core size : 0
% 0.40/0.64 # Propositional preprocessing time : 0.000
% 0.40/0.64 # Propositional encoding time : 0.000
% 0.40/0.64 # Propositional solver time : 0.000
% 0.40/0.64 # Success case prop preproc time : 0.000
% 0.40/0.64 # Success case prop encoding time : 0.000
% 0.40/0.64 # Success case prop solver time : 0.000
% 0.40/0.64 # Current number of processed clauses : 111
% 0.40/0.64 # Positive orientable unit clauses : 29
% 0.40/0.64 # Positive unorientable unit clauses: 2
% 0.40/0.64 # Negative unit clauses : 12
% 0.40/0.64 # Non-unit-clauses : 68
% 0.40/0.64 # Current number of unprocessed clauses: 597
% 0.40/0.64 # ...number of literals in the above : 1234
% 0.40/0.64 # Current number of archived formulas : 0
% 0.40/0.64 # Current number of archived clauses : 148
% 0.40/0.64 # Clause-clause subsumption calls (NU) : 2653
% 0.40/0.64 # Rec. Clause-clause subsumption calls : 2093
% 0.40/0.64 # Non-unit clause-clause subsumptions : 69
% 0.40/0.64 # Unit Clause-clause subsumption calls : 103
% 0.40/0.64 # Rewrite failures with RHS unbound : 0
% 0.40/0.64 # BW rewrite match attempts : 94
% 0.40/0.64 # BW rewrite match successes : 71
% 0.40/0.64 # Condensation attempts : 395
% 0.40/0.64 # Condensation successes : 0
% 0.40/0.64 # Termbank termtop insertions : 26306
% 0.40/0.64 # Search garbage collected termcells : 5804
% 0.40/0.64
% 0.40/0.64 # -------------------------------------------------
% 0.40/0.64 # User time : 0.040 s
% 0.40/0.64 # System time : 0.009 s
% 0.40/0.64 # Total time : 0.049 s
% 0.40/0.64 # Maximum resident set size: 3116 pages
% 0.40/0.64
% 0.40/0.64 # -------------------------------------------------
% 0.40/0.64 # User time : 0.051 s
% 0.40/0.64 # System time : 0.013 s
% 0.40/0.64 # Total time : 0.064 s
% 0.40/0.64 # Maximum resident set size: 2312 pages
% 0.40/0.64 % E---3.1 exiting
% 0.40/0.65 % E exiting
%------------------------------------------------------------------------------