TSTP Solution File: LAT005-2 by E---3.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : LAT005-2 : TPTP v8.1.2. Released v1.0.0.
% 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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 18:07:19 EDT 2023
% Result : Unsatisfiable 3.25s 0.97s
% Output : CNFRefutation 3.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of clauses : 74 ( 47 unt; 0 nHn; 70 RR)
% Number of literals : 127 ( 0 equ; 55 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 102 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(commutativity_of_meet,axiom,
( meet(X2,X1,X3)
| ~ meet(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.Wk3l1cxhPp/E---3.1_4729.p',commutativity_of_meet) ).
cnf(meet_r2_and_a,negated_conjecture,
meet(r2,a,d),
file('/export/starexec/sandbox2/tmp/tmp.Wk3l1cxhPp/E---3.1_4729.p',meet_r2_and_a) ).
cnf(associativity_of_join2,axiom,
( join(X1,X5,X6)
| ~ join(X1,X2,X3)
| ~ join(X2,X4,X5)
| ~ join(X3,X4,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.Wk3l1cxhPp/E---3.1_4729.p',associativity_of_join2) ).
cnf(join_a_and_b,negated_conjecture,
join(a,b,c2),
file('/export/starexec/sandbox2/tmp/tmp.Wk3l1cxhPp/E---3.1_4729.p',join_a_and_b) ).
cnf(absorbtion1,axiom,
( join(X1,X3,X1)
| ~ meet(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.Wk3l1cxhPp/E---3.1_4729.p',absorbtion1) ).
cnf(associativity_of_meet1,axiom,
( meet(X3,X4,X6)
| ~ meet(X1,X2,X3)
| ~ meet(X2,X4,X5)
| ~ meet(X1,X5,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.Wk3l1cxhPp/E---3.1_4729.p',associativity_of_meet1) ).
cnf(meet_a_and_b,negated_conjecture,
meet(a,b,c),
file('/export/starexec/sandbox2/tmp/tmp.Wk3l1cxhPp/E---3.1_4729.p',meet_a_and_b) ).
cnf(meet_c_and_r2,negated_conjecture,
meet(c,r2,n0),
file('/export/starexec/sandbox2/tmp/tmp.Wk3l1cxhPp/E---3.1_4729.p',meet_c_and_r2) ).
cnf(commutativity_of_join,axiom,
( join(X2,X1,X3)
| ~ join(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.Wk3l1cxhPp/E---3.1_4729.p',commutativity_of_join) ).
cnf(modularity2,axiom,
( meet(X2,X4,X6)
| ~ meet(X1,X2,X1)
| ~ join(X1,X3,X4)
| ~ meet(X3,X2,X5)
| ~ join(X1,X5,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.Wk3l1cxhPp/E---3.1_4729.p',modularity2) ).
cnf(join_x_and_0,axiom,
join(X1,n0,X1),
file('/export/starexec/sandbox2/tmp/tmp.Wk3l1cxhPp/E---3.1_4729.p',join_x_and_0) ).
cnf(meet_c2_and_r1,negated_conjecture,
meet(c2,r1,n0),
file('/export/starexec/sandbox2/tmp/tmp.Wk3l1cxhPp/E---3.1_4729.p',meet_c2_and_r1) ).
cnf(absorbtion2,axiom,
( meet(X1,X3,X1)
| ~ join(X1,X2,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.Wk3l1cxhPp/E---3.1_4729.p',absorbtion2) ).
cnf(join_r1_and_d,negated_conjecture,
join(r1,d,b2),
file('/export/starexec/sandbox2/tmp/tmp.Wk3l1cxhPp/E---3.1_4729.p',join_r1_and_d) ).
cnf(meet_r2_and_b,negated_conjecture,
meet(r2,b,e),
file('/export/starexec/sandbox2/tmp/tmp.Wk3l1cxhPp/E---3.1_4729.p',meet_r2_and_b) ).
cnf(associativity_of_meet2,axiom,
( meet(X1,X5,X6)
| ~ meet(X1,X2,X3)
| ~ meet(X2,X4,X5)
| ~ meet(X3,X4,X6) ),
file('/export/starexec/sandbox2/tmp/tmp.Wk3l1cxhPp/E---3.1_4729.p',associativity_of_meet2) ).
cnf(meet_0_and_x,axiom,
meet(n0,X1,n0),
file('/export/starexec/sandbox2/tmp/tmp.Wk3l1cxhPp/E---3.1_4729.p',meet_0_and_x) ).
cnf(join_r1_and_e,negated_conjecture,
join(r1,e,a2),
file('/export/starexec/sandbox2/tmp/tmp.Wk3l1cxhPp/E---3.1_4729.p',join_r1_and_e) ).
cnf(meet_a2_and_b2,negated_conjecture,
~ meet(a2,b2,r1),
file('/export/starexec/sandbox2/tmp/tmp.Wk3l1cxhPp/E---3.1_4729.p',meet_a2_and_b2) ).
cnf(c_0_19,axiom,
( meet(X2,X1,X3)
| ~ meet(X1,X2,X3) ),
commutativity_of_meet ).
cnf(c_0_20,negated_conjecture,
meet(r2,a,d),
meet_r2_and_a ).
cnf(c_0_21,axiom,
( join(X1,X5,X6)
| ~ join(X1,X2,X3)
| ~ join(X2,X4,X5)
| ~ join(X3,X4,X6) ),
associativity_of_join2 ).
cnf(c_0_22,negated_conjecture,
join(a,b,c2),
join_a_and_b ).
cnf(c_0_23,axiom,
( join(X1,X3,X1)
| ~ meet(X1,X2,X3) ),
absorbtion1 ).
cnf(c_0_24,negated_conjecture,
meet(a,r2,d),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,axiom,
( meet(X3,X4,X6)
| ~ meet(X1,X2,X3)
| ~ meet(X2,X4,X5)
| ~ meet(X1,X5,X6) ),
associativity_of_meet1 ).
cnf(c_0_26,negated_conjecture,
meet(a,b,c),
meet_a_and_b ).
cnf(c_0_27,negated_conjecture,
meet(c,r2,n0),
meet_c_and_r2 ).
cnf(c_0_28,negated_conjecture,
( join(X1,X2,c2)
| ~ join(X3,b,X2)
| ~ join(X1,X3,a) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_29,axiom,
( join(X2,X1,X3)
| ~ join(X1,X2,X3) ),
commutativity_of_join ).
cnf(c_0_30,negated_conjecture,
join(a,d,a),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_31,negated_conjecture,
( meet(X1,b,X2)
| ~ meet(X3,c,X2)
| ~ meet(X3,a,X1) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_32,negated_conjecture,
meet(r2,c,n0),
inference(spm,[status(thm)],[c_0_19,c_0_27]) ).
cnf(c_0_33,axiom,
( meet(X2,X4,X6)
| ~ meet(X1,X2,X1)
| ~ join(X1,X3,X4)
| ~ meet(X3,X2,X5)
| ~ join(X1,X5,X6) ),
modularity2 ).
cnf(c_0_34,axiom,
join(X1,n0,X1),
join_x_and_0 ).
cnf(c_0_35,negated_conjecture,
meet(c2,r1,n0),
meet_c2_and_r1 ).
cnf(c_0_36,negated_conjecture,
( join(X1,c2,c2)
| ~ join(X1,a,a) ),
inference(spm,[status(thm)],[c_0_28,c_0_22]) ).
cnf(c_0_37,negated_conjecture,
join(d,a,a),
inference(spm,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_38,negated_conjecture,
( meet(X1,b,n0)
| ~ meet(r2,a,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_39,axiom,
( meet(X1,X3,X1)
| ~ join(X1,X2,X3) ),
absorbtion2 ).
cnf(c_0_40,negated_conjecture,
join(b,a,c2),
inference(spm,[status(thm)],[c_0_29,c_0_22]) ).
cnf(c_0_41,plain,
( meet(X1,X2,X3)
| ~ meet(X4,X1,n0)
| ~ meet(X3,X1,X3)
| ~ join(X3,X4,X2) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_42,negated_conjecture,
meet(r1,c2,n0),
inference(spm,[status(thm)],[c_0_19,c_0_35]) ).
cnf(c_0_43,negated_conjecture,
join(r1,d,b2),
join_r1_and_d ).
cnf(c_0_44,negated_conjecture,
join(d,c2,c2),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_45,negated_conjecture,
meet(r2,b,e),
meet_r2_and_b ).
cnf(c_0_46,axiom,
( meet(X1,X5,X6)
| ~ meet(X1,X2,X3)
| ~ meet(X2,X4,X5)
| ~ meet(X3,X4,X6) ),
associativity_of_meet2 ).
cnf(c_0_47,negated_conjecture,
meet(d,b,n0),
inference(spm,[status(thm)],[c_0_38,c_0_20]) ).
cnf(c_0_48,negated_conjecture,
meet(b,c2,b),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_49,negated_conjecture,
( meet(c2,X1,X2)
| ~ meet(X2,c2,X2)
| ~ join(X2,r1,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_50,negated_conjecture,
join(d,r1,b2),
inference(spm,[status(thm)],[c_0_29,c_0_43]) ).
cnf(c_0_51,negated_conjecture,
meet(d,c2,d),
inference(spm,[status(thm)],[c_0_39,c_0_44]) ).
cnf(c_0_52,negated_conjecture,
meet(b,r2,e),
inference(spm,[status(thm)],[c_0_19,c_0_45]) ).
cnf(c_0_53,negated_conjecture,
( meet(X1,X2,n0)
| ~ meet(X3,b,X2)
| ~ meet(X1,X3,d) ),
inference(spm,[status(thm)],[c_0_46,c_0_47]) ).
cnf(c_0_54,negated_conjecture,
meet(c2,b,b),
inference(spm,[status(thm)],[c_0_19,c_0_48]) ).
cnf(c_0_55,negated_conjecture,
meet(c2,b2,d),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_50]),c_0_51])]) ).
cnf(c_0_56,negated_conjecture,
join(b,e,b),
inference(spm,[status(thm)],[c_0_23,c_0_52]) ).
cnf(c_0_57,axiom,
meet(n0,X1,n0),
meet_0_and_x ).
cnf(c_0_58,negated_conjecture,
( meet(X1,b,n0)
| ~ meet(X1,c2,d) ),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,negated_conjecture,
meet(b2,c2,d),
inference(spm,[status(thm)],[c_0_19,c_0_55]) ).
cnf(c_0_60,negated_conjecture,
join(e,b,b),
inference(spm,[status(thm)],[c_0_29,c_0_56]) ).
cnf(c_0_61,plain,
( meet(X1,X2,n0)
| ~ meet(X1,X3,n0)
| ~ meet(X3,X4,X2) ),
inference(spm,[status(thm)],[c_0_46,c_0_57]) ).
cnf(c_0_62,negated_conjecture,
meet(b2,b,n0),
inference(spm,[status(thm)],[c_0_58,c_0_59]) ).
cnf(c_0_63,negated_conjecture,
meet(e,b,e),
inference(spm,[status(thm)],[c_0_39,c_0_60]) ).
cnf(c_0_64,negated_conjecture,
( meet(b2,X1,n0)
| ~ meet(b,X2,X1) ),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_65,negated_conjecture,
meet(b,e,e),
inference(spm,[status(thm)],[c_0_19,c_0_63]) ).
cnf(c_0_66,negated_conjecture,
meet(b2,e,n0),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_67,negated_conjecture,
meet(e,b2,n0),
inference(spm,[status(thm)],[c_0_19,c_0_66]) ).
cnf(c_0_68,negated_conjecture,
( meet(b2,X1,X2)
| ~ meet(X2,b2,X2)
| ~ join(X2,e,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_67]) ).
cnf(c_0_69,negated_conjecture,
join(r1,e,a2),
join_r1_and_e ).
cnf(c_0_70,negated_conjecture,
meet(r1,b2,r1),
inference(spm,[status(thm)],[c_0_39,c_0_43]) ).
cnf(c_0_71,negated_conjecture,
meet(b2,a2,r1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70])]) ).
cnf(c_0_72,negated_conjecture,
~ meet(a2,b2,r1),
meet_a2_and_b2 ).
cnf(c_0_73,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_71]),c_0_72]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT005-2 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n007.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 : 2400
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Oct 2 10:45:24 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.Wk3l1cxhPp/E---3.1_4729.p
% 3.25/0.97 # Version: 3.1pre001
% 3.25/0.97 # Preprocessing class: FSMSSMSMSSSNFFN.
% 3.25/0.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.25/0.97 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 3.25/0.97 # Starting new_bool_3 with 300s (1) cores
% 3.25/0.97 # Starting new_bool_1 with 300s (1) cores
% 3.25/0.97 # Starting sh5l with 300s (1) cores
% 3.25/0.97 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 4807 completed with status 0
% 3.25/0.97 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 3.25/0.97 # Preprocessing class: FSMSSMSMSSSNFFN.
% 3.25/0.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.25/0.97 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 3.25/0.97 # No SInE strategy applied
% 3.25/0.97 # Search class: FHUNM-FFMM00-SFFFFFNN
% 3.25/0.97 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.25/0.97 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 811s (1) cores
% 3.25/0.97 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 3.25/0.97 # Starting new_bool_3 with 136s (1) cores
% 3.25/0.97 # Starting new_bool_1 with 136s (1) cores
% 3.25/0.97 # Starting sh5l with 136s (1) cores
% 3.25/0.97 # G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with pid 4814 completed with status 0
% 3.25/0.97 # Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI
% 3.25/0.97 # Preprocessing class: FSMSSMSMSSSNFFN.
% 3.25/0.97 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.25/0.97 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 3.25/0.97 # No SInE strategy applied
% 3.25/0.97 # Search class: FHUNM-FFMM00-SFFFFFNN
% 3.25/0.97 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.25/0.97 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_RG_S0Y with 811s (1) cores
% 3.25/0.97 # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 151s (1) cores
% 3.25/0.97 # Preprocessing time : 0.001 s
% 3.25/0.97 # Presaturation interreduction done
% 3.25/0.97
% 3.25/0.97 # Proof found!
% 3.25/0.97 # SZS status Unsatisfiable
% 3.25/0.97 # SZS output start CNFRefutation
% See solution above
% 3.25/0.97 # Parsed axioms : 31
% 3.25/0.97 # Removed by relevancy pruning/SinE : 0
% 3.25/0.97 # Initial clauses : 31
% 3.25/0.97 # Removed in clause preprocessing : 0
% 3.25/0.97 # Initial clauses in saturation : 31
% 3.25/0.97 # Processed clauses : 6347
% 3.25/0.97 # ...of these trivial : 7
% 3.25/0.97 # ...subsumed : 1000
% 3.25/0.97 # ...remaining for further processing : 5340
% 3.25/0.97 # Other redundant clauses eliminated : 0
% 3.25/0.97 # Clauses deleted for lack of memory : 0
% 3.25/0.97 # Backward-subsumed : 126
% 3.25/0.97 # Backward-rewritten : 0
% 3.25/0.97 # Generated clauses : 10669
% 3.25/0.97 # ...of the previous two non-redundant : 6685
% 3.25/0.97 # ...aggressively subsumed : 0
% 3.25/0.97 # Contextual simplify-reflections : 19
% 3.25/0.97 # Paramodulations : 10669
% 3.25/0.97 # Factorizations : 0
% 3.25/0.97 # NegExts : 0
% 3.25/0.97 # Equation resolutions : 0
% 3.25/0.97 # Total rewrite steps : 3825
% 3.25/0.97 # Propositional unsat checks : 0
% 3.25/0.97 # Propositional check models : 0
% 3.25/0.97 # Propositional check unsatisfiable : 0
% 3.25/0.97 # Propositional clauses : 0
% 3.25/0.97 # Propositional clauses after purity: 0
% 3.25/0.97 # Propositional unsat core size : 0
% 3.25/0.97 # Propositional preprocessing time : 0.000
% 3.25/0.97 # Propositional encoding time : 0.000
% 3.25/0.97 # Propositional solver time : 0.000
% 3.25/0.97 # Success case prop preproc time : 0.000
% 3.25/0.97 # Success case prop encoding time : 0.000
% 3.25/0.97 # Success case prop solver time : 0.000
% 3.25/0.97 # Current number of processed clauses : 5183
% 3.25/0.97 # Positive orientable unit clauses : 153
% 3.25/0.97 # Positive unorientable unit clauses: 0
% 3.25/0.97 # Negative unit clauses : 1
% 3.25/0.97 # Non-unit-clauses : 5029
% 3.25/0.97 # Current number of unprocessed clauses: 396
% 3.25/0.97 # ...number of literals in the above : 1198
% 3.25/0.97 # Current number of archived formulas : 0
% 3.25/0.97 # Current number of archived clauses : 157
% 3.25/0.97 # Clause-clause subsumption calls (NU) : 739108
% 3.25/0.97 # Rec. Clause-clause subsumption calls : 687591
% 3.25/0.97 # Non-unit clause-clause subsumptions : 1145
% 3.25/0.97 # Unit Clause-clause subsumption calls : 1096
% 3.25/0.97 # Rewrite failures with RHS unbound : 0
% 3.25/0.97 # BW rewrite match attempts : 83
% 3.25/0.97 # BW rewrite match successes : 0
% 3.25/0.97 # Condensation attempts : 0
% 3.25/0.97 # Condensation successes : 0
% 3.25/0.97 # Termbank termtop insertions : 147187
% 3.25/0.97
% 3.25/0.97 # -------------------------------------------------
% 3.25/0.97 # User time : 0.447 s
% 3.25/0.97 # System time : 0.009 s
% 3.25/0.97 # Total time : 0.456 s
% 3.25/0.97 # Maximum resident set size: 1668 pages
% 3.25/0.97
% 3.25/0.97 # -------------------------------------------------
% 3.25/0.97 # User time : 1.861 s
% 3.25/0.97 # System time : 0.018 s
% 3.25/0.97 # Total time : 1.879 s
% 3.25/0.97 # Maximum resident set size: 1692 pages
% 3.25/0.97 % E---3.1 exiting
% 3.25/0.97 % E---3.1 exiting
%------------------------------------------------------------------------------