TSTP Solution File: LCL319-3 by E-SAT---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : LCL319-3 : TPTP v8.1.2. Released v2.3.0.
% 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 : Sat May 4 08:27:11 EDT 2024
% Result : Unsatisfiable 3.83s 0.99s
% Output : CNFRefutation 3.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 11
% Syntax : Number of clauses : 72 ( 36 unt; 0 nHn; 36 RR)
% Number of literals : 118 ( 7 equ; 54 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 141 ( 13 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(rule_2,axiom,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
file('/export/starexec/sandbox/tmp/tmp.Ay73irfnVo/E---3.1_8688.p',rule_2) ).
cnf(implies_definition,axiom,
implies(X1,X2) = or(not(X1),X2),
file('/export/starexec/sandbox/tmp/tmp.Ay73irfnVo/E---3.1_8688.p',implies_definition) ).
cnf(rule_1,axiom,
( theorem(X1)
| ~ axiom(X1) ),
file('/export/starexec/sandbox/tmp/tmp.Ay73irfnVo/E---3.1_8688.p',rule_1) ).
cnf(axiom_1_6,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
file('/export/starexec/sandbox/tmp/tmp.Ay73irfnVo/E---3.1_8688.p',axiom_1_6) ).
cnf(axiom_1_2,axiom,
axiom(implies(or(X1,X1),X1)),
file('/export/starexec/sandbox/tmp/tmp.Ay73irfnVo/E---3.1_8688.p',axiom_1_2) ).
cnf(axiom_1_5,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
file('/export/starexec/sandbox/tmp/tmp.Ay73irfnVo/E---3.1_8688.p',axiom_1_5) ).
cnf(axiom_1_3,axiom,
axiom(implies(X1,or(X2,X1))),
file('/export/starexec/sandbox/tmp/tmp.Ay73irfnVo/E---3.1_8688.p',axiom_1_3) ).
cnf(axiom_1_4,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
file('/export/starexec/sandbox/tmp/tmp.Ay73irfnVo/E---3.1_8688.p',axiom_1_4) ).
cnf(prove_this,negated_conjecture,
~ theorem(implies(and(p,q),equivalent(p,q))),
file('/export/starexec/sandbox/tmp/tmp.Ay73irfnVo/E---3.1_8688.p',prove_this) ).
cnf(equivalent_defn,axiom,
equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
file('/export/starexec/sandbox/tmp/tmp.Ay73irfnVo/E---3.1_8688.p',equivalent_defn) ).
cnf(and_defn,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
file('/export/starexec/sandbox/tmp/tmp.Ay73irfnVo/E---3.1_8688.p',and_defn) ).
cnf(c_0_11,plain,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
inference(fof_simplification,[status(thm)],[rule_2]) ).
cnf(c_0_12,plain,
( theorem(X1)
| ~ theorem(implies(X2,X1))
| ~ theorem(X2) ),
c_0_11 ).
cnf(c_0_13,axiom,
implies(X1,X2) = or(not(X1),X2),
implies_definition ).
cnf(c_0_14,plain,
( theorem(X1)
| ~ axiom(X1) ),
inference(fof_simplification,[status(thm)],[rule_1]) ).
cnf(c_0_15,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ theorem(or(not(X2),X1)) ),
inference(rw,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,plain,
( theorem(X1)
| ~ axiom(X1) ),
c_0_14 ).
cnf(c_0_17,axiom,
axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))),
axiom_1_6 ).
cnf(c_0_18,plain,
( theorem(X1)
| ~ theorem(X2)
| ~ axiom(or(not(X2),X1)) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_13]),c_0_13]),c_0_13]) ).
cnf(c_0_20,plain,
( theorem(or(not(or(X1,X2)),or(X1,X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_21,plain,
( theorem(or(X1,X2))
| ~ theorem(or(not(X3),X2))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_22,axiom,
axiom(implies(or(X1,X1),X1)),
axiom_1_2 ).
cnf(c_0_23,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,X3))
| ~ axiom(or(not(X3),X2)) ),
inference(spm,[status(thm)],[c_0_21,c_0_16]) ).
cnf(c_0_24,plain,
axiom(or(not(or(X1,X1)),X1)),
inference(rw,[status(thm)],[c_0_22,c_0_13]) ).
cnf(c_0_25,axiom,
axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
axiom_1_5 ).
cnf(c_0_26,axiom,
axiom(implies(X1,or(X2,X1))),
axiom_1_3 ).
cnf(c_0_27,axiom,
axiom(implies(or(X1,X2),or(X2,X1))),
axiom_1_4 ).
cnf(c_0_28,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X1,or(X2,X2))) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
inference(rw,[status(thm)],[c_0_25,c_0_13]) ).
cnf(c_0_30,plain,
axiom(or(not(X1),or(X2,X1))),
inference(rw,[status(thm)],[c_0_26,c_0_13]) ).
cnf(c_0_31,plain,
axiom(or(not(or(X1,X2)),or(X2,X1))),
inference(rw,[status(thm)],[c_0_27,c_0_13]) ).
cnf(c_0_32,plain,
( theorem(or(X1,X2))
| ~ axiom(or(X1,or(X2,X2))) ),
inference(spm,[status(thm)],[c_0_28,c_0_16]) ).
cnf(c_0_33,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_18,c_0_29]) ).
cnf(c_0_34,plain,
( theorem(or(X1,X2))
| ~ theorem(X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_30]) ).
cnf(c_0_35,plain,
( theorem(or(X1,X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_18,c_0_31]) ).
cnf(c_0_36,plain,
theorem(or(not(X1),X1)),
inference(spm,[status(thm)],[c_0_32,c_0_30]) ).
cnf(c_0_37,plain,
( theorem(X1)
| ~ theorem(or(X1,X1)) ),
inference(spm,[status(thm)],[c_0_18,c_0_24]) ).
cnf(c_0_38,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_39,negated_conjecture,
~ theorem(implies(and(p,q),equivalent(p,q))),
inference(fof_simplification,[status(thm)],[prove_this]) ).
cnf(c_0_40,axiom,
equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
equivalent_defn ).
cnf(c_0_41,axiom,
and(X1,X2) = not(or(not(X1),not(X2))),
and_defn ).
cnf(c_0_42,plain,
theorem(or(X1,not(X1))),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_43,plain,
( theorem(or(X1,or(not(or(X1,X2)),X3)))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_33,c_0_20]) ).
cnf(c_0_44,plain,
( theorem(or(X1,X2))
| ~ theorem(or(or(X1,X2),X2)) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_45,plain,
( theorem(or(X1,or(X2,X3)))
| ~ axiom(or(X2,or(X1,X3))) ),
inference(spm,[status(thm)],[c_0_33,c_0_16]) ).
cnf(c_0_46,negated_conjecture,
~ theorem(implies(and(p,q),equivalent(p,q))),
c_0_39 ).
cnf(c_0_47,plain,
equivalent(X1,X2) = not(or(not(or(not(X1),X2)),not(or(not(X2),X1)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_13]),c_0_13]),c_0_41]) ).
cnf(c_0_48,plain,
( theorem(or(X1,not(not(X2))))
| ~ theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_21,c_0_42]) ).
cnf(c_0_49,plain,
( theorem(or(X1,or(not(or(not(X2),X3)),X4)))
| ~ theorem(or(not(X3),X4))
| ~ theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_21,c_0_43]) ).
cnf(c_0_50,plain,
( theorem(or(X1,or(X2,X3)))
| ~ axiom(or(X2,or(or(X1,or(X2,X3)),X3))) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_51,negated_conjecture,
~ theorem(or(not(not(or(not(p),not(q)))),not(or(not(or(not(p),q)),not(or(not(q),p)))))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_13]),c_0_41]),c_0_47]) ).
cnf(c_0_52,plain,
( theorem(or(not(not(X1)),X2))
| ~ theorem(or(X2,X1)) ),
inference(spm,[status(thm)],[c_0_35,c_0_48]) ).
cnf(c_0_53,plain,
( theorem(or(not(or(not(X1),X2)),X3))
| ~ theorem(or(or(not(or(not(X1),X2)),X3),X1))
| ~ theorem(or(not(X2),X3)) ),
inference(spm,[status(thm)],[c_0_37,c_0_49]) ).
cnf(c_0_54,plain,
( theorem(or(or(X1,X2),X3))
| ~ theorem(or(X3,X2)) ),
inference(spm,[status(thm)],[c_0_35,c_0_38]) ).
cnf(c_0_55,plain,
theorem(or(X1,or(not(X2),X2))),
inference(spm,[status(thm)],[c_0_50,c_0_30]) ).
cnf(c_0_56,negated_conjecture,
~ theorem(or(not(or(not(or(not(p),q)),not(or(not(q),p)))),or(not(p),not(q)))),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_57,plain,
( theorem(or(not(or(not(X1),X2)),X3))
| ~ theorem(or(not(X2),X3))
| ~ theorem(or(X1,X3)) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_58,plain,
( theorem(or(not(not(X1)),X2))
| ~ theorem(or(or(X2,X2),X1)) ),
inference(spm,[status(thm)],[c_0_28,c_0_52]) ).
cnf(c_0_59,plain,
( theorem(or(X1,or(or(X2,X3),X4)))
| ~ theorem(or(or(X1,X4),X3)) ),
inference(spm,[status(thm)],[c_0_33,c_0_54]) ).
cnf(c_0_60,plain,
( theorem(or(X1,or(X2,X3)))
| ~ theorem(or(X1,or(X3,X2))) ),
inference(spm,[status(thm)],[c_0_23,c_0_31]) ).
cnf(c_0_61,plain,
theorem(or(not(X1),or(X2,X1))),
inference(spm,[status(thm)],[c_0_33,c_0_55]) ).
cnf(c_0_62,negated_conjecture,
( ~ theorem(or(not(not(or(not(q),p))),or(not(p),not(q))))
| ~ theorem(or(or(not(p),q),or(not(p),not(q)))) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_63,plain,
( theorem(or(not(not(X1)),X2))
| ~ theorem(or(X1,X2)) ),
inference(spm,[status(thm)],[c_0_58,c_0_54]) ).
cnf(c_0_64,plain,
( theorem(or(or(X1,X2),X3))
| ~ theorem(or(or(or(or(X1,X2),X3),X3),X2)) ),
inference(spm,[status(thm)],[c_0_37,c_0_59]) ).
cnf(c_0_65,plain,
theorem(or(not(X1),or(X1,X2))),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_66,negated_conjecture,
( ~ theorem(or(or(not(p),q),or(not(p),not(q))))
| ~ theorem(or(or(not(q),p),or(not(p),not(q)))) ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_67,plain,
( theorem(or(or(X1,X2),X3))
| ~ theorem(or(X2,X3)) ),
inference(spm,[status(thm)],[c_0_64,c_0_54]) ).
cnf(c_0_68,plain,
theorem(or(X1,or(not(X1),X2))),
inference(spm,[status(thm)],[c_0_33,c_0_65]) ).
cnf(c_0_69,negated_conjecture,
~ theorem(or(or(not(p),q),or(not(p),not(q)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_67]),c_0_68])]) ).
cnf(c_0_70,plain,
theorem(or(or(X1,X2),not(X2))),
inference(spm,[status(thm)],[c_0_35,c_0_61]) ).
cnf(c_0_71,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_38]),c_0_70])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LCL319-3 : TPTP v8.1.2. Released v2.3.0.
% 0.11/0.14 % Command : run_E %s %d THM
% 0.14/0.35 % Computer : n029.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 : Fri May 3 09:17:37 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/tmp/tmp.Ay73irfnVo/E---3.1_8688.p
% 3.83/0.99 # Version: 3.1.0
% 3.83/0.99 # Preprocessing class: FSSSSMSSSSSNFFN.
% 3.83/0.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.83/0.99 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 3.83/0.99 # Starting new_bool_3 with 300s (1) cores
% 3.83/0.99 # Starting new_bool_1 with 300s (1) cores
% 3.83/0.99 # Starting sh5l with 300s (1) cores
% 3.83/0.99 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 8820 completed with status 0
% 3.83/0.99 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 3.83/0.99 # Preprocessing class: FSSSSMSSSSSNFFN.
% 3.83/0.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.83/0.99 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 3.83/0.99 # No SInE strategy applied
% 3.83/0.99 # Search class: FHUNM-FFSF21-DFFFFFNN
% 3.83/0.99 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 3.83/0.99 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 395s (1) cores
% 3.83/0.99 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 334s (1) cores
% 3.83/0.99 # Starting new_bool_3 with 329s (1) cores
% 3.83/0.99 # Starting new_bool_1 with 324s (1) cores
% 3.83/0.99 # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 118s (1) cores
% 3.83/0.99 # G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 8826 completed with status 0
% 3.83/0.99 # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN
% 3.83/0.99 # Preprocessing class: FSSSSMSSSSSNFFN.
% 3.83/0.99 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.83/0.99 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 3.83/0.99 # No SInE strategy applied
% 3.83/0.99 # Search class: FHUNM-FFSF21-DFFFFFNN
% 3.83/0.99 # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 3.83/0.99 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 395s (1) cores
% 3.83/0.99 # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 334s (1) cores
% 3.83/0.99 # Preprocessing time : 0.021 s
% 3.83/0.99
% 3.83/0.99 # Proof found!
% 3.83/0.99 # SZS status Unsatisfiable
% 3.83/0.99 # SZS output start CNFRefutation
% See solution above
% 3.83/0.99 # Parsed axioms : 11
% 3.83/0.99 # Removed by relevancy pruning/SinE : 0
% 3.83/0.99 # Initial clauses : 11
% 3.83/0.99 # Removed in clause preprocessing : 3
% 3.83/0.99 # Initial clauses in saturation : 8
% 3.83/0.99 # Processed clauses : 2236
% 3.83/0.99 # ...of these trivial : 16
% 3.83/0.99 # ...subsumed : 1364
% 3.83/0.99 # ...remaining for further processing : 856
% 3.83/0.99 # Other redundant clauses eliminated : 0
% 3.83/0.99 # Clauses deleted for lack of memory : 0
% 3.83/0.99 # Backward-subsumed : 209
% 3.83/0.99 # Backward-rewritten : 11
% 3.83/0.99 # Generated clauses : 19457
% 3.83/0.99 # ...of the previous two non-redundant : 19059
% 3.83/0.99 # ...aggressively subsumed : 0
% 3.83/0.99 # Contextual simplify-reflections : 0
% 3.83/0.99 # Paramodulations : 19457
% 3.83/0.99 # Factorizations : 0
% 3.83/0.99 # NegExts : 0
% 3.83/0.99 # Equation resolutions : 0
% 3.83/0.99 # Disequality decompositions : 0
% 3.83/0.99 # Total rewrite steps : 309
% 3.83/0.99 # ...of those cached : 237
% 3.83/0.99 # Propositional unsat checks : 0
% 3.83/0.99 # Propositional check models : 0
% 3.83/0.99 # Propositional check unsatisfiable : 0
% 3.83/0.99 # Propositional clauses : 0
% 3.83/0.99 # Propositional clauses after purity: 0
% 3.83/0.99 # Propositional unsat core size : 0
% 3.83/0.99 # Propositional preprocessing time : 0.000
% 3.83/0.99 # Propositional encoding time : 0.000
% 3.83/0.99 # Propositional solver time : 0.000
% 3.83/0.99 # Success case prop preproc time : 0.000
% 3.83/0.99 # Success case prop encoding time : 0.000
% 3.83/0.99 # Success case prop solver time : 0.000
% 3.83/0.99 # Current number of processed clauses : 636
% 3.83/0.99 # Positive orientable unit clauses : 30
% 3.83/0.99 # Positive unorientable unit clauses: 0
% 3.83/0.99 # Negative unit clauses : 55
% 3.83/0.99 # Non-unit-clauses : 551
% 3.83/0.99 # Current number of unprocessed clauses: 16720
% 3.83/0.99 # ...number of literals in the above : 52853
% 3.83/0.99 # Current number of archived formulas : 0
% 3.83/0.99 # Current number of archived clauses : 223
% 3.83/0.99 # Clause-clause subsumption calls (NU) : 74061
% 3.83/0.99 # Rec. Clause-clause subsumption calls : 64888
% 3.83/0.99 # Non-unit clause-clause subsumptions : 1145
% 3.83/0.99 # Unit Clause-clause subsumption calls : 3761
% 3.83/0.99 # Rewrite failures with RHS unbound : 0
% 3.83/0.99 # BW rewrite match attempts : 972
% 3.83/0.99 # BW rewrite match successes : 4
% 3.83/0.99 # Condensation attempts : 0
% 3.83/0.99 # Condensation successes : 0
% 3.83/0.99 # Termbank termtop insertions : 317018
% 3.83/0.99 # Search garbage collected termcells : 11
% 3.83/0.99
% 3.83/0.99 # -------------------------------------------------
% 3.83/0.99 # User time : 0.438 s
% 3.83/0.99 # System time : 0.026 s
% 3.83/0.99 # Total time : 0.464 s
% 3.83/0.99 # Maximum resident set size: 1652 pages
% 3.83/0.99
% 3.83/0.99 # -------------------------------------------------
% 3.83/0.99 # User time : 2.299 s
% 3.83/0.99 # System time : 0.060 s
% 3.83/0.99 # Total time : 2.359 s
% 3.83/0.99 # Maximum resident set size: 1696 pages
% 3.83/0.99 % E---3.1 exiting
%------------------------------------------------------------------------------