TSTP Solution File: LAT291+1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : LAT291+1 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n004.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 23:26:37 EDT 2024
% Result : Theorem 1.42s 0.67s
% Output : CNFRefutation 1.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 36 ( 13 unt; 0 def)
% Number of atoms : 126 ( 21 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 142 ( 52 ~; 38 |; 39 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-4 aty)
% Number of variables : 28 ( 0 sgn 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t37_lopclset,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k6_lattices(X1)) = k7_lopclset(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_lopclset) ).
fof(t37_lattice4,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> k7_lattices(X1,k5_lattices(X1)) = k6_lattices(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_lattice4) ).
fof(t28_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k4_xboole_0(k7_lopclset(X1),k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2)) = k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k7_lattices(X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_lopclset) ).
fof(t36_lopclset,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k5_lattices(X1)) = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_lopclset) ).
fof(t3_boole,axiom,
! [X1] : k4_xboole_0(X1,k1_xboole_0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_boole) ).
fof(dt_k5_lattices,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_lattices(X1) )
=> m1_subset_1(k5_lattices(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_lattices) ).
fof(dt_l3_lattices,axiom,
! [X1] :
( l3_lattices(X1)
=> ( l1_lattices(X1)
& l2_lattices(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(c_0_7,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k6_lattices(X1)) = k7_lopclset(X1) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t37_lopclset])]) ).
fof(c_0_8,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& l3_lattices(X1) )
=> k7_lattices(X1,k5_lattices(X1)) = k6_lattices(X1) ),
inference(fof_simplification,[status(thm)],[t37_lattice4]) ).
fof(c_0_9,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v10_lattices(esk1_0)
& v17_lattices(esk1_0)
& ~ v3_realset2(esk1_0)
& l3_lattices(esk1_0)
& k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k9_lopclset(esk1_0),k6_lattices(esk1_0)) != k7_lopclset(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])]) ).
fof(c_0_10,plain,
! [X147] :
( v3_struct_0(X147)
| ~ v10_lattices(X147)
| ~ v17_lattices(X147)
| ~ l3_lattices(X147)
| k7_lattices(X147,k5_lattices(X147)) = k6_lattices(X147) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
fof(c_0_11,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k4_xboole_0(k7_lopclset(X1),k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2)) = k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k7_lattices(X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[t28_lopclset]) ).
cnf(c_0_12,negated_conjecture,
k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k9_lopclset(esk1_0),k6_lattices(esk1_0)) != k7_lopclset(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( v3_struct_0(X1)
| k7_lattices(X1,k5_lattices(X1)) = k6_lattices(X1)
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,negated_conjecture,
l3_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_15,negated_conjecture,
v17_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_16,negated_conjecture,
v10_lattices(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_17,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_18,plain,
! [X139,X140] :
( v3_struct_0(X139)
| ~ v10_lattices(X139)
| ~ v17_lattices(X139)
| v3_realset2(X139)
| ~ l3_lattices(X139)
| ~ m1_subset_1(X140,u1_struct_0(X139))
| k4_xboole_0(k7_lopclset(X139),k8_funct_2(u1_struct_0(X139),k1_zfmisc_1(k7_lopclset(X139)),k9_lopclset(X139),X140)) = k8_funct_2(u1_struct_0(X139),k1_zfmisc_1(k7_lopclset(X139)),k9_lopclset(X139),k7_lattices(X139,X140)) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
fof(c_0_19,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v10_lattices(X1)
& v17_lattices(X1)
& ~ v3_realset2(X1)
& l3_lattices(X1) )
=> k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k5_lattices(X1)) = k1_xboole_0 ),
inference(fof_simplification,[status(thm)],[t36_lopclset]) ).
cnf(c_0_20,negated_conjecture,
k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k9_lopclset(esk1_0),k7_lattices(esk1_0,k5_lattices(esk1_0))) != k7_lopclset(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_12,c_0_13]),c_0_14]),c_0_15]),c_0_16])]),c_0_17]) ).
cnf(c_0_21,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| k4_xboole_0(k7_lopclset(X1),k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),X2)) = k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k7_lattices(X1,X2))
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_22,negated_conjecture,
~ v3_realset2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
fof(c_0_23,plain,
! [X146] :
( v3_struct_0(X146)
| ~ v10_lattices(X146)
| ~ v17_lattices(X146)
| v3_realset2(X146)
| ~ l3_lattices(X146)
| k8_funct_2(u1_struct_0(X146),k1_zfmisc_1(k7_lopclset(X146)),k9_lopclset(X146),k5_lattices(X146)) = k1_xboole_0 ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])]) ).
fof(c_0_24,plain,
! [X148] : k4_xboole_0(X148,k1_xboole_0) = X148,
inference(variable_rename,[status(thm)],[t3_boole]) ).
fof(c_0_25,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_lattices(X1) )
=> m1_subset_1(k5_lattices(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k5_lattices]) ).
fof(c_0_26,plain,
! [X71] :
( ( l1_lattices(X71)
| ~ l3_lattices(X71) )
& ( l2_lattices(X71)
| ~ l3_lattices(X71) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l3_lattices])])])]) ).
cnf(c_0_27,negated_conjecture,
( k4_xboole_0(k7_lopclset(esk1_0),k8_funct_2(u1_struct_0(esk1_0),k1_zfmisc_1(k7_lopclset(esk1_0)),k9_lopclset(esk1_0),k5_lattices(esk1_0))) != k7_lopclset(esk1_0)
| ~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_14]),c_0_15]),c_0_16])]),c_0_22]),c_0_17]) ).
cnf(c_0_28,plain,
( v3_struct_0(X1)
| v3_realset2(X1)
| k8_funct_2(u1_struct_0(X1),k1_zfmisc_1(k7_lopclset(X1)),k9_lopclset(X1),k5_lattices(X1)) = k1_xboole_0
| ~ v10_lattices(X1)
| ~ v17_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_29,plain,
k4_xboole_0(X1,k1_xboole_0) = X1,
inference(split_conjunct,[status(thm)],[c_0_24]) ).
fof(c_0_30,plain,
! [X58] :
( v3_struct_0(X58)
| ~ l1_lattices(X58)
| m1_subset_1(k5_lattices(X58),u1_struct_0(X58)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_25])])]) ).
cnf(c_0_31,plain,
( l1_lattices(X1)
| ~ l3_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,negated_conjecture,
~ m1_subset_1(k5_lattices(esk1_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29]),c_0_14]),c_0_15]),c_0_16])]),c_0_22]),c_0_17]) ).
cnf(c_0_33,plain,
( v3_struct_0(X1)
| m1_subset_1(k5_lattices(X1),u1_struct_0(X1))
| ~ l1_lattices(X1) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_34,negated_conjecture,
l1_lattices(esk1_0),
inference(spm,[status(thm)],[c_0_31,c_0_14]) ).
cnf(c_0_35,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34])]),c_0_17]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LAT291+1 : TPTP v8.2.0. Released v3.4.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun May 19 21:11:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.21/0.49 Running first-order model finding
% 0.21/0.49 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.42/0.67 # Version: 3.1.0
% 1.42/0.67 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.42/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.42/0.67 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.42/0.67 # Starting new_bool_3 with 300s (1) cores
% 1.42/0.67 # Starting new_bool_1 with 300s (1) cores
% 1.42/0.67 # Starting sh5l with 300s (1) cores
% 1.42/0.67 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 17740 completed with status 0
% 1.42/0.67 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 1.42/0.67 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.42/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.42/0.67 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.42/0.67 # No SInE strategy applied
% 1.42/0.67 # Search class: FGHSM-FSMM31-MFFFFFNN
% 1.42/0.67 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.42/0.67 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 811s (1) cores
% 1.42/0.67 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 1.42/0.67 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S0Y with 136s (1) cores
% 1.42/0.67 # Starting new_bool_3 with 136s (1) cores
% 1.42/0.67 # Starting new_bool_1 with 136s (1) cores
% 1.42/0.67 # G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with pid 17751 completed with status 0
% 1.42/0.67 # Result found by G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y
% 1.42/0.67 # Preprocessing class: FSLSSMSSSSSNFFN.
% 1.42/0.67 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.42/0.67 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 1.42/0.67 # No SInE strategy applied
% 1.42/0.67 # Search class: FGHSM-FSMM31-MFFFFFNN
% 1.42/0.67 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.42/0.67 # Starting G-E--_107_B42_F1_PI_SE_Q4_CS_SP_PS_S5PRR_S0Y with 811s (1) cores
% 1.42/0.67 # Preprocessing time : 0.004 s
% 1.42/0.67 # Presaturation interreduction done
% 1.42/0.67
% 1.42/0.67 # Proof found!
% 1.42/0.67 # SZS status Theorem
% 1.42/0.67 # SZS output start CNFRefutation
% See solution above
% 1.42/0.67 # Parsed axioms : 101
% 1.42/0.67 # Removed by relevancy pruning/SinE : 0
% 1.42/0.67 # Initial clauses : 223
% 1.42/0.67 # Removed in clause preprocessing : 22
% 1.42/0.67 # Initial clauses in saturation : 201
% 1.42/0.67 # Processed clauses : 2251
% 1.42/0.67 # ...of these trivial : 7
% 1.42/0.67 # ...subsumed : 943
% 1.42/0.67 # ...remaining for further processing : 1301
% 1.42/0.67 # Other redundant clauses eliminated : 1
% 1.42/0.67 # Clauses deleted for lack of memory : 0
% 1.42/0.67 # Backward-subsumed : 20
% 1.42/0.67 # Backward-rewritten : 3
% 1.42/0.67 # Generated clauses : 3395
% 1.42/0.67 # ...of the previous two non-redundant : 3098
% 1.42/0.67 # ...aggressively subsumed : 0
% 1.42/0.67 # Contextual simplify-reflections : 24
% 1.42/0.67 # Paramodulations : 3389
% 1.42/0.67 # Factorizations : 2
% 1.42/0.67 # NegExts : 0
% 1.42/0.67 # Equation resolutions : 1
% 1.42/0.67 # Disequality decompositions : 0
% 1.42/0.67 # Total rewrite steps : 1563
% 1.42/0.67 # ...of those cached : 1498
% 1.42/0.67 # Propositional unsat checks : 0
% 1.42/0.67 # Propositional check models : 0
% 1.42/0.67 # Propositional check unsatisfiable : 0
% 1.42/0.67 # Propositional clauses : 0
% 1.42/0.67 # Propositional clauses after purity: 0
% 1.42/0.67 # Propositional unsat core size : 0
% 1.42/0.67 # Propositional preprocessing time : 0.000
% 1.42/0.67 # Propositional encoding time : 0.000
% 1.42/0.67 # Propositional solver time : 0.000
% 1.42/0.67 # Success case prop preproc time : 0.000
% 1.42/0.67 # Success case prop encoding time : 0.000
% 1.42/0.67 # Success case prop solver time : 0.000
% 1.42/0.67 # Current number of processed clauses : 1082
% 1.42/0.67 # Positive orientable unit clauses : 101
% 1.42/0.67 # Positive unorientable unit clauses: 0
% 1.42/0.67 # Negative unit clauses : 31
% 1.42/0.67 # Non-unit-clauses : 950
% 1.42/0.67 # Current number of unprocessed clauses: 1205
% 1.42/0.67 # ...number of literals in the above : 7765
% 1.42/0.67 # Current number of archived formulas : 0
% 1.42/0.67 # Current number of archived clauses : 217
% 1.42/0.67 # Clause-clause subsumption calls (NU) : 308981
% 1.42/0.67 # Rec. Clause-clause subsumption calls : 113390
% 1.42/0.67 # Non-unit clause-clause subsumptions : 628
% 1.42/0.67 # Unit Clause-clause subsumption calls : 2793
% 1.42/0.67 # Rewrite failures with RHS unbound : 0
% 1.42/0.67 # BW rewrite match attempts : 12
% 1.42/0.67 # BW rewrite match successes : 2
% 1.42/0.67 # Condensation attempts : 0
% 1.42/0.67 # Condensation successes : 0
% 1.42/0.67 # Termbank termtop insertions : 71867
% 1.42/0.67 # Search garbage collected termcells : 2178
% 1.42/0.67
% 1.42/0.67 # -------------------------------------------------
% 1.42/0.67 # User time : 0.157 s
% 1.42/0.67 # System time : 0.009 s
% 1.42/0.67 # Total time : 0.166 s
% 1.42/0.67 # Maximum resident set size: 2360 pages
% 1.42/0.67
% 1.42/0.67 # -------------------------------------------------
% 1.42/0.67 # User time : 0.741 s
% 1.42/0.67 # System time : 0.020 s
% 1.42/0.67 # Total time : 0.761 s
% 1.42/0.67 # Maximum resident set size: 1800 pages
% 1.42/0.67 % E---3.1 exiting
%------------------------------------------------------------------------------