TSTP Solution File: AGT035^1 by E---3.1.00
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%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : AGT035^1 : TPTP v8.2.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n029.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 17:57:47 EDT 2024
% Result : Theorem 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of formulae : 38 ( 17 unt; 11 typ; 0 def)
% Number of atoms : 47 ( 8 equ; 0 cnn)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 100 ( 10 ~; 7 |; 0 &; 80 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 3 ( 1 usr)
% Number of type conns : 36 ( 36 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 10 usr; 4 con; 0-3 aty)
% Number of variables : 43 ( 12 ^ 28 !; 3 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(decl_sort1,type,
mu: $tType ).
thf(decl_37,type,
mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).
thf(decl_40,type,
msymmetric: ( $i > $i > $o ) > $o ).
thf(decl_41,type,
mserial: ( $i > $i > $o ) > $o ).
thf(decl_49,type,
mvalid: ( $i > $o ) > $o ).
thf(decl_53,type,
a1: $i > $i > $o ).
thf(decl_56,type,
jan: mu ).
thf(decl_58,type,
cola: mu ).
thf(decl_61,type,
likes: mu > mu > $i > $o ).
thf(decl_71,type,
esk6_1: $i > $i ).
thf(decl_74,type,
esk9_0: $i ).
thf(msymmetric,axiom,
( msymmetric
= ( ^ [X13: $i > $i > $o] :
! [X15: $i,X16: $i] :
( ( X13 @ X15 @ X16 )
=> ( X13 @ X16 @ X15 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',msymmetric) ).
thf(mserial,axiom,
( mserial
= ( ^ [X13: $i > $i > $o] :
! [X15: $i] :
? [X16: $i] : ( X13 @ X15 @ X16 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mserial) ).
thf(mbox,axiom,
( mbox
= ( ^ [X13: $i > $i > $o,X6: $i > $o,X3: $i] :
! [X14: $i] :
( ~ ( X13 @ X3 @ X14 )
| ( X6 @ X14 ) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mbox) ).
thf(mvalid,axiom,
( mvalid
= ( ^ [X6: $i > $o] :
! [X3: $i] : ( X6 @ X3 ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mvalid) ).
thf(axioms_B_a1,axiom,
msymmetric @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_B_a1) ).
thf(axioms_D_a1,axiom,
mserial @ a1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axioms_D_a1) ).
thf(axiom_a1_1,axiom,
mvalid @ ( mbox @ a1 @ ( likes @ jan @ cola ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_a1_1) ).
thf(conjecture,conjecture,
mvalid @ ( likes @ jan @ cola ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conjecture) ).
thf(c_0_8,plain,
( msymmetric
= ( ^ [Z0: $i > $i > $o] :
! [X15: $i,X16: $i] :
( ( Z0 @ X15 @ X16 )
=> ( Z0 @ X16 @ X15 ) ) ) ),
inference(fof_simplification,[status(thm)],[msymmetric]) ).
thf(c_0_9,plain,
( mserial
= ( ^ [Z0: $i > $i > $o] :
! [X15: $i] :
? [X16: $i] : ( Z0 @ X15 @ X16 ) ) ),
inference(fof_simplification,[status(thm)],[mserial]) ).
thf(c_0_10,plain,
( mbox
= ( ^ [Z0: $i > $i > $o,Z1: $i > $o,Z2: $i] :
! [X14: $i] :
( ~ ( Z0 @ Z2 @ X14 )
| ( Z1 @ X14 ) ) ) ),
inference(fof_simplification,[status(thm)],[mbox]) ).
thf(c_0_11,plain,
( mvalid
= ( ^ [Z0: $i > $o] :
! [X3: $i] : ( Z0 @ X3 ) ) ),
inference(fof_simplification,[status(thm)],[mvalid]) ).
thf(c_0_12,plain,
! [X81: $i,X82: $i] :
( ( a1 @ X81 @ X82 )
=> ( a1 @ X82 @ X81 ) ),
inference(apply_def,[status(thm)],[axioms_B_a1,c_0_8]) ).
thf(c_0_13,plain,
! [X87: $i] :
? [X88: $i] : ( a1 @ X87 @ X88 ),
inference(apply_def,[status(thm)],[axioms_D_a1,c_0_9]) ).
thf(c_0_14,plain,
! [X26: $i,X25: $i] :
( ~ ( a1 @ X26 @ X25 )
| ( likes @ jan @ cola @ X25 ) ),
inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[axiom_a1_1,c_0_10]),c_0_11])]) ).
thf(c_0_15,plain,
! [X192: $i,X193: $i] :
( ~ ( a1 @ X192 @ X193 )
| ( a1 @ X193 @ X192 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
thf(c_0_16,plain,
! [X198: $i] : ( a1 @ X198 @ ( esk6_1 @ X198 ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_13])]) ).
thf(c_0_17,negated_conjecture,
~ ! [X135: $i] : ( likes @ jan @ cola @ X135 ),
inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[conjecture]),c_0_11]) ).
thf(c_0_18,plain,
! [X136: $i,X137: $i] :
( ~ ( a1 @ X136 @ X137 )
| ( likes @ jan @ cola @ X137 ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_14])]) ).
thf(c_0_19,plain,
! [X3: $i,X14: $i] :
( ( a1 @ X14 @ X3 )
| ~ ( a1 @ X3 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
thf(c_0_20,plain,
! [X3: $i] : ( a1 @ X3 @ ( esk6_1 @ X3 ) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
thf(c_0_21,negated_conjecture,
~ ( likes @ jan @ cola @ esk9_0 ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])]) ).
thf(c_0_22,plain,
! [X3: $i,X14: $i] :
( ( likes @ jan @ cola @ X14 )
| ~ ( a1 @ X3 @ X14 ) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
thf(c_0_23,plain,
! [X3: $i] : ( a1 @ ( esk6_1 @ X3 ) @ X3 ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
thf(c_0_24,negated_conjecture,
~ ( likes @ jan @ cola @ esk9_0 ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
thf(c_0_25,plain,
! [X3: $i] : ( likes @ jan @ cola @ X3 ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
thf(c_0_26,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : AGT035^1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.00/0.10 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n029.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sat May 18 18:53:08 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.14/0.37 Running higher-order theorem proving
% 0.14/0.37 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
% 0.14/0.39 # Version: 3.1.0-ho
% 0.14/0.39 # Preprocessing class: HSMSSMSSMLLNHSN.
% 0.14/0.39 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.39 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.14/0.39 # Starting post_as_ho3 with 300s (1) cores
% 0.14/0.39 # Starting new_ho_12 with 300s (1) cores
% 0.14/0.39 # Starting new_bool_2 with 300s (1) cores
% 0.14/0.39 # new_ho_10_cnf2 with pid 26405 completed with status 0
% 0.14/0.39 # Result found by new_ho_10_cnf2
% 0.14/0.39 # Preprocessing class: HSMSSMSSMLLNHSN.
% 0.14/0.39 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.39 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.14/0.39 # No SInE strategy applied
% 0.14/0.39 # Search class: HGUNM-FFMF32-SHSSMFNN
% 0.14/0.39 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.39 # Starting new_ho_10 with 811s (1) cores
% 0.14/0.39 # Starting new_ho_10_cnf2 with 151s (1) cores
% 0.14/0.39 # Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.14/0.39 # Starting lpo1_def_fix with 136s (1) cores
% 0.14/0.39 # Starting ehoh_best8_lambda with 136s (1) cores
% 0.14/0.39 # ehoh_best8_lambda with pid 26414 completed with status 0
% 0.14/0.39 # Result found by ehoh_best8_lambda
% 0.14/0.39 # Preprocessing class: HSMSSMSSMLLNHSN.
% 0.14/0.39 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.14/0.39 # Starting new_ho_10_cnf2 with 1500s (5) cores
% 0.14/0.39 # No SInE strategy applied
% 0.14/0.39 # Search class: HGUNM-FFMF32-SHSSMFNN
% 0.14/0.39 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.14/0.39 # Starting new_ho_10 with 811s (1) cores
% 0.14/0.39 # Starting new_ho_10_cnf2 with 151s (1) cores
% 0.14/0.39 # Starting ehoh_best_sine_rwall with 136s (1) cores
% 0.14/0.39 # Starting lpo1_def_fix with 136s (1) cores
% 0.14/0.39 # Starting ehoh_best8_lambda with 136s (1) cores
% 0.14/0.39 # Preprocessing time : 0.001 s
% 0.14/0.39 # Presaturation interreduction done
% 0.14/0.39
% 0.14/0.39 # Proof found!
% 0.14/0.39 # SZS status Theorem
% 0.14/0.39 # SZS output start CNFRefutation
% See solution above
% 0.14/0.39 # Parsed axioms : 118
% 0.14/0.39 # Removed by relevancy pruning/SinE : 0
% 0.14/0.39 # Initial clauses : 91
% 0.14/0.39 # Removed in clause preprocessing : 45
% 0.14/0.39 # Initial clauses in saturation : 46
% 0.14/0.39 # Processed clauses : 92
% 0.14/0.39 # ...of these trivial : 0
% 0.14/0.39 # ...subsumed : 2
% 0.14/0.39 # ...remaining for further processing : 90
% 0.14/0.39 # Other redundant clauses eliminated : 0
% 0.14/0.39 # Clauses deleted for lack of memory : 0
% 0.14/0.39 # Backward-subsumed : 0
% 0.14/0.39 # Backward-rewritten : 8
% 0.14/0.39 # Generated clauses : 72
% 0.14/0.39 # ...of the previous two non-redundant : 68
% 0.14/0.39 # ...aggressively subsumed : 0
% 0.14/0.39 # Contextual simplify-reflections : 0
% 0.14/0.39 # Paramodulations : 72
% 0.14/0.39 # Factorizations : 0
% 0.14/0.39 # NegExts : 0
% 0.14/0.39 # Equation resolutions : 0
% 0.14/0.39 # Disequality decompositions : 0
% 0.14/0.39 # Total rewrite steps : 12
% 0.14/0.39 # ...of those cached : 1
% 0.14/0.39 # Propositional unsat checks : 0
% 0.14/0.39 # Propositional check models : 0
% 0.14/0.39 # Propositional check unsatisfiable : 0
% 0.14/0.39 # Propositional clauses : 0
% 0.14/0.39 # Propositional clauses after purity: 0
% 0.14/0.39 # Propositional unsat core size : 0
% 0.14/0.39 # Propositional preprocessing time : 0.000
% 0.14/0.39 # Propositional encoding time : 0.000
% 0.14/0.39 # Propositional solver time : 0.000
% 0.14/0.39 # Success case prop preproc time : 0.000
% 0.14/0.39 # Success case prop encoding time : 0.000
% 0.14/0.39 # Success case prop solver time : 0.000
% 0.14/0.39 # Current number of processed clauses : 38
% 0.14/0.39 # Positive orientable unit clauses : 19
% 0.14/0.39 # Positive unorientable unit clauses: 0
% 0.14/0.39 # Negative unit clauses : 0
% 0.14/0.39 # Non-unit-clauses : 19
% 0.14/0.39 # Current number of unprocessed clauses: 66
% 0.14/0.39 # ...number of literals in the above : 139
% 0.14/0.39 # Current number of archived formulas : 0
% 0.14/0.39 # Current number of archived clauses : 52
% 0.14/0.39 # Clause-clause subsumption calls (NU) : 123
% 0.14/0.39 # Rec. Clause-clause subsumption calls : 88
% 0.14/0.39 # Non-unit clause-clause subsumptions : 2
% 0.14/0.39 # Unit Clause-clause subsumption calls : 15
% 0.14/0.39 # Rewrite failures with RHS unbound : 0
% 0.14/0.39 # BW rewrite match attempts : 36
% 0.14/0.39 # BW rewrite match successes : 7
% 0.14/0.39 # Condensation attempts : 0
% 0.14/0.39 # Condensation successes : 0
% 0.14/0.39 # Termbank termtop insertions : 10237
% 0.14/0.39 # Search garbage collected termcells : 3139
% 0.14/0.39
% 0.14/0.39 # -------------------------------------------------
% 0.14/0.39 # User time : 0.007 s
% 0.14/0.39 # System time : 0.002 s
% 0.14/0.39 # Total time : 0.009 s
% 0.14/0.39 # Maximum resident set size: 2508 pages
% 0.14/0.39
% 0.14/0.39 # -------------------------------------------------
% 0.14/0.39 # User time : 0.025 s
% 0.14/0.39 # System time : 0.010 s
% 0.14/0.39 # Total time : 0.035 s
% 0.14/0.39 # Maximum resident set size: 1832 pages
% 0.14/0.39 % E---3.1 exiting
% 0.14/0.39 % E exiting
%------------------------------------------------------------------------------