TSTP Solution File: REL006-1 by E-SAT---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : REL006-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n002.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 19:14:02 EDT 2023
% Result : Unsatisfiable 0.23s 0.53s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 13
% Syntax : Number of clauses : 68 ( 68 unt; 0 nHn; 21 RR)
% Number of literals : 68 ( 67 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 74 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(converse_multiplicativity_10,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox2/tmp/tmp.GG7ghVkaCH/E---3.1_32066.p',converse_multiplicativity_10) ).
cnf(converse_idempotence_8,axiom,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/tmp/tmp.GG7ghVkaCH/E---3.1_32066.p',converse_idempotence_8) ).
cnf(composition_identity_6,axiom,
composition(X1,one) = X1,
file('/export/starexec/sandbox2/tmp/tmp.GG7ghVkaCH/E---3.1_32066.p',composition_identity_6) ).
cnf(converse_cancellativity_11,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
file('/export/starexec/sandbox2/tmp/tmp.GG7ghVkaCH/E---3.1_32066.p',converse_cancellativity_11) ).
cnf(maddux1_join_commutativity_1,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/tmp/tmp.GG7ghVkaCH/E---3.1_32066.p',maddux1_join_commutativity_1) ).
cnf(def_zero_13,axiom,
zero = meet(X1,complement(X1)),
file('/export/starexec/sandbox2/tmp/tmp.GG7ghVkaCH/E---3.1_32066.p',def_zero_13) ).
cnf(maddux4_definiton_of_meet_4,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox2/tmp/tmp.GG7ghVkaCH/E---3.1_32066.p',maddux4_definiton_of_meet_4) ).
cnf(def_top_12,axiom,
top = join(X1,complement(X1)),
file('/export/starexec/sandbox2/tmp/tmp.GG7ghVkaCH/E---3.1_32066.p',def_top_12) ).
cnf(maddux3_a_kind_of_de_Morgan_3,axiom,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
file('/export/starexec/sandbox2/tmp/tmp.GG7ghVkaCH/E---3.1_32066.p',maddux3_a_kind_of_de_Morgan_3) ).
cnf(maddux2_join_associativity_2,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
file('/export/starexec/sandbox2/tmp/tmp.GG7ghVkaCH/E---3.1_32066.p',maddux2_join_associativity_2) ).
cnf(goals_14,negated_conjecture,
meet(converse(sk1),sk2) = zero,
file('/export/starexec/sandbox2/tmp/tmp.GG7ghVkaCH/E---3.1_32066.p',goals_14) ).
cnf(converse_additivity_9,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox2/tmp/tmp.GG7ghVkaCH/E---3.1_32066.p',converse_additivity_9) ).
cnf(goals_15,negated_conjecture,
meet(sk1,converse(sk2)) != zero,
file('/export/starexec/sandbox2/tmp/tmp.GG7ghVkaCH/E---3.1_32066.p',goals_15) ).
cnf(c_0_13,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
converse_multiplicativity_10 ).
cnf(c_0_14,axiom,
converse(converse(X1)) = X1,
converse_idempotence_8 ).
cnf(c_0_15,plain,
converse(composition(converse(X1),X2)) = composition(converse(X2),X1),
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_16,axiom,
composition(X1,one) = X1,
composition_identity_6 ).
cnf(c_0_17,plain,
composition(converse(one),X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_16]),c_0_14]) ).
cnf(c_0_18,axiom,
join(composition(converse(X1),complement(composition(X1,X2))),complement(X2)) = complement(X2),
converse_cancellativity_11 ).
cnf(c_0_19,axiom,
join(X1,X2) = join(X2,X1),
maddux1_join_commutativity_1 ).
cnf(c_0_20,plain,
converse(one) = one,
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_21,axiom,
zero = meet(X1,complement(X1)),
def_zero_13 ).
cnf(c_0_22,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
maddux4_definiton_of_meet_4 ).
cnf(c_0_23,plain,
join(complement(X1),composition(converse(X2),complement(composition(X2,X1)))) = complement(X1),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_24,plain,
composition(one,X1) = X1,
inference(rw,[status(thm)],[c_0_17,c_0_20]) ).
cnf(c_0_25,plain,
zero = complement(join(complement(X1),complement(complement(X1)))),
inference(rw,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_26,axiom,
top = join(X1,complement(X1)),
def_top_12 ).
cnf(c_0_27,plain,
join(complement(X1),complement(X1)) = complement(X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_20]),c_0_24]) ).
cnf(c_0_28,plain,
complement(top) = zero,
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,axiom,
X1 = join(complement(join(complement(X1),complement(X2))),complement(join(complement(X1),X2))),
maddux3_a_kind_of_de_Morgan_3 ).
cnf(c_0_30,axiom,
join(X1,join(X2,X3)) = join(join(X1,X2),X3),
maddux2_join_associativity_2 ).
cnf(c_0_31,plain,
join(zero,zero) = zero,
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_32,plain,
join(complement(join(complement(X1),X2)),complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_29,c_0_19]) ).
cnf(c_0_33,plain,
join(zero,join(zero,X1)) = join(zero,X1),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,plain,
join(zero,complement(complement(X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_27]),c_0_26]),c_0_28]),c_0_19]) ).
cnf(c_0_35,plain,
join(zero,X1) = X1,
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_36,negated_conjecture,
meet(converse(sk1),sk2) = zero,
goals_14 ).
cnf(c_0_37,plain,
complement(complement(X1)) = X1,
inference(rw,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_38,negated_conjecture,
complement(join(complement(converse(sk1)),complement(sk2))) = zero,
inference(rw,[status(thm)],[c_0_36,c_0_22]) ).
cnf(c_0_39,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_27,c_0_37]) ).
cnf(c_0_40,negated_conjecture,
complement(join(complement(sk2),complement(converse(sk1)))) = zero,
inference(rw,[status(thm)],[c_0_38,c_0_19]) ).
cnf(c_0_41,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
converse_additivity_9 ).
cnf(c_0_42,plain,
join(X1,join(X1,X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_30,c_0_39]) ).
cnf(c_0_43,negated_conjecture,
join(zero,complement(join(complement(sk2),converse(sk1)))) = sk2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_40]),c_0_19]) ).
cnf(c_0_44,plain,
converse(join(converse(X1),X2)) = join(X1,converse(X2)),
inference(spm,[status(thm)],[c_0_41,c_0_14]) ).
cnf(c_0_45,plain,
join(X1,top) = top,
inference(spm,[status(thm)],[c_0_42,c_0_26]) ).
cnf(c_0_46,negated_conjecture,
complement(join(complement(sk2),converse(sk1))) = sk2,
inference(rw,[status(thm)],[c_0_43,c_0_35]) ).
cnf(c_0_47,plain,
join(X1,converse(complement(converse(X1)))) = converse(top),
inference(spm,[status(thm)],[c_0_44,c_0_26]) ).
cnf(c_0_48,plain,
join(top,X1) = top,
inference(spm,[status(thm)],[c_0_19,c_0_45]) ).
cnf(c_0_49,negated_conjecture,
join(complement(sk2),converse(sk1)) = complement(sk2),
inference(spm,[status(thm)],[c_0_37,c_0_46]) ).
cnf(c_0_50,plain,
converse(top) = top,
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_51,negated_conjecture,
join(complement(sk2),join(converse(sk1),X1)) = join(complement(sk2),X1),
inference(spm,[status(thm)],[c_0_30,c_0_49]) ).
cnf(c_0_52,plain,
join(X1,converse(complement(converse(X1)))) = top,
inference(rw,[status(thm)],[c_0_47,c_0_50]) ).
cnf(c_0_53,negated_conjecture,
join(complement(sk2),converse(complement(sk1))) = top,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_19]),c_0_48]),c_0_14]) ).
cnf(c_0_54,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_32]),c_0_19]) ).
cnf(c_0_55,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_42,c_0_19]) ).
cnf(c_0_56,negated_conjecture,
complement(join(complement(sk2),complement(converse(complement(sk1))))) = sk2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_53]),c_0_28]),c_0_35]) ).
cnf(c_0_57,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_54,c_0_55]) ).
cnf(c_0_58,negated_conjecture,
join(complement(sk2),complement(converse(complement(sk1)))) = complement(sk2),
inference(spm,[status(thm)],[c_0_37,c_0_56]) ).
cnf(c_0_59,plain,
join(X1,join(complement(X1),X2)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_26]),c_0_48]) ).
cnf(c_0_60,plain,
converse(join(X1,converse(X2))) = join(converse(X1),X2),
inference(spm,[status(thm)],[c_0_41,c_0_14]) ).
cnf(c_0_61,negated_conjecture,
join(sk2,converse(complement(sk1))) = converse(complement(sk1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_37]),c_0_19]) ).
cnf(c_0_62,negated_conjecture,
meet(sk1,converse(sk2)) != zero,
goals_15 ).
cnf(c_0_63,plain,
join(complement(X1),join(X2,X1)) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_32]),c_0_30]) ).
cnf(c_0_64,negated_conjecture,
join(complement(sk1),converse(sk2)) = complement(sk1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_14]),c_0_19]) ).
cnf(c_0_65,negated_conjecture,
complement(join(complement(sk1),complement(converse(sk2)))) != zero,
inference(rw,[status(thm)],[c_0_62,c_0_22]) ).
cnf(c_0_66,negated_conjecture,
join(complement(sk1),complement(converse(sk2))) = top,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_19]) ).
cnf(c_0_67,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_66]),c_0_28])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : REL006-1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.13/0.38 % Computer : n002.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8042.1875MB
% 0.13/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.38 % CPULimit : 2400
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Oct 2 15:28:29 EDT 2023
% 0.13/0.38 % CPUTime :
% 0.23/0.50 Running first-order model finding
% 0.23/0.50 Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.GG7ghVkaCH/E---3.1_32066.p
% 0.23/0.53 # Version: 3.1pre001
% 0.23/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.53 # Starting new_bool_3 with 300s (1) cores
% 0.23/0.53 # Starting new_bool_1 with 300s (1) cores
% 0.23/0.53 # Starting sh5l with 300s (1) cores
% 0.23/0.53 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 32174 completed with status 0
% 0.23/0.53 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.23/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.53 # No SInE strategy applied
% 0.23/0.53 # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.23/0.53 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.53 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 0.23/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.23/0.53 # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.23/0.53 # Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 0.23/0.53 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 0.23/0.53 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 32181 completed with status 0
% 0.23/0.53 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.23/0.53 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.23/0.53 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.23/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.23/0.53 # No SInE strategy applied
% 0.23/0.53 # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.23/0.53 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.23/0.53 # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 0.23/0.53 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.23/0.53 # Preprocessing time : 0.001 s
% 0.23/0.53 # Presaturation interreduction done
% 0.23/0.53
% 0.23/0.53 # Proof found!
% 0.23/0.53 # SZS status Unsatisfiable
% 0.23/0.53 # SZS output start CNFRefutation
% See solution above
% 0.23/0.53 # Parsed axioms : 15
% 0.23/0.53 # Removed by relevancy pruning/SinE : 0
% 0.23/0.53 # Initial clauses : 15
% 0.23/0.53 # Removed in clause preprocessing : 1
% 0.23/0.53 # Initial clauses in saturation : 14
% 0.23/0.53 # Processed clauses : 190
% 0.23/0.53 # ...of these trivial : 67
% 0.23/0.53 # ...subsumed : 6
% 0.23/0.53 # ...remaining for further processing : 117
% 0.23/0.53 # Other redundant clauses eliminated : 0
% 0.23/0.53 # Clauses deleted for lack of memory : 0
% 0.23/0.53 # Backward-subsumed : 0
% 0.23/0.53 # Backward-rewritten : 33
% 0.23/0.53 # Generated clauses : 1315
% 0.23/0.53 # ...of the previous two non-redundant : 642
% 0.23/0.53 # ...aggressively subsumed : 0
% 0.23/0.53 # Contextual simplify-reflections : 0
% 0.23/0.53 # Paramodulations : 1315
% 0.23/0.53 # Factorizations : 0
% 0.23/0.53 # NegExts : 0
% 0.23/0.53 # Equation resolutions : 0
% 0.23/0.53 # Total rewrite steps : 1905
% 0.23/0.53 # Propositional unsat checks : 0
% 0.23/0.53 # Propositional check models : 0
% 0.23/0.53 # Propositional check unsatisfiable : 0
% 0.23/0.53 # Propositional clauses : 0
% 0.23/0.53 # Propositional clauses after purity: 0
% 0.23/0.53 # Propositional unsat core size : 0
% 0.23/0.53 # Propositional preprocessing time : 0.000
% 0.23/0.53 # Propositional encoding time : 0.000
% 0.23/0.53 # Propositional solver time : 0.000
% 0.23/0.53 # Success case prop preproc time : 0.000
% 0.23/0.53 # Success case prop encoding time : 0.000
% 0.23/0.53 # Success case prop solver time : 0.000
% 0.23/0.53 # Current number of processed clauses : 70
% 0.23/0.53 # Positive orientable unit clauses : 69
% 0.23/0.53 # Positive unorientable unit clauses: 1
% 0.23/0.53 # Negative unit clauses : 0
% 0.23/0.53 # Non-unit-clauses : 0
% 0.23/0.53 # Current number of unprocessed clauses: 456
% 0.23/0.53 # ...number of literals in the above : 456
% 0.23/0.53 # Current number of archived formulas : 0
% 0.23/0.53 # Current number of archived clauses : 48
% 0.23/0.53 # Clause-clause subsumption calls (NU) : 0
% 0.23/0.53 # Rec. Clause-clause subsumption calls : 0
% 0.23/0.53 # Non-unit clause-clause subsumptions : 0
% 0.23/0.53 # Unit Clause-clause subsumption calls : 0
% 0.23/0.53 # Rewrite failures with RHS unbound : 0
% 0.23/0.53 # BW rewrite match attempts : 135
% 0.23/0.53 # BW rewrite match successes : 40
% 0.23/0.53 # Condensation attempts : 0
% 0.23/0.53 # Condensation successes : 0
% 0.23/0.53 # Termbank termtop insertions : 12953
% 0.23/0.53
% 0.23/0.53 # -------------------------------------------------
% 0.23/0.53 # User time : 0.016 s
% 0.23/0.53 # System time : 0.003 s
% 0.23/0.53 # Total time : 0.019 s
% 0.23/0.53 # Maximum resident set size: 1568 pages
% 0.23/0.53
% 0.23/0.53 # -------------------------------------------------
% 0.23/0.53 # User time : 0.080 s
% 0.23/0.53 # System time : 0.012 s
% 0.23/0.53 # Total time : 0.092 s
% 0.23/0.53 # Maximum resident set size: 1688 pages
% 0.23/0.53 % E---3.1 exiting
%------------------------------------------------------------------------------