TSTP Solution File: SWC014-1 by E---3.1.00
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1.00
% Problem : SWC014-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n016.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 : Tue May 21 04:22:35 EDT 2024
% Result : Unsatisfiable 0.16s 0.45s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 16
% Syntax : Number of clauses : 55 ( 22 unt; 4 nHn; 55 RR)
% Number of literals : 126 ( 45 equ; 77 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 37 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(co1_17,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_17) ).
cnf(co1_7,negated_conjecture,
( neq(sk2,nil)
| neq(sk2,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_15,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_15) ).
cnf(co1_18,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk4
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_18) ).
cnf(co1_6,negated_conjecture,
sk1 = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_6) ).
cnf(co1_5,negated_conjecture,
sk2 = sk4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_5) ).
cnf(clause120,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(co1_16,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_16) ).
cnf(co1_14,negated_conjecture,
( ~ ssList(X1)
| sk2 != X1
| ~ ssList(X2)
| tl(sk2) != X2
| app(sk1,X2) != X1
| ~ neq(nil,sk2)
| ~ neq(sk4,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_14) ).
cnf(clause96,axiom,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause96) ).
cnf(clause98,axiom,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause98) ).
cnf(clause118,axiom,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause118) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(co1_2,negated_conjecture,
ssList(sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_2) ).
cnf(clause100,axiom,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001-0.ax',clause100) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1_1) ).
cnf(c_0_16,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
inference(fof_simplification,[status(thm)],[co1_17]) ).
cnf(c_0_17,negated_conjecture,
neq(sk2,nil),
inference(fof_simplification,[status(thm)],[co1_7]) ).
cnf(c_0_18,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
inference(fof_simplification,[status(thm)],[co1_15]) ).
cnf(c_0_19,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk4
| ~ neq(sk4,nil) ),
inference(fof_simplification,[status(thm)],[co1_18]) ).
cnf(c_0_20,negated_conjecture,
( cons(sk5,nil) = sk3
| ~ neq(sk4,nil) ),
c_0_16 ).
cnf(c_0_21,negated_conjecture,
sk1 = sk3,
co1_6 ).
cnf(c_0_22,negated_conjecture,
sk2 = sk4,
co1_5 ).
cnf(c_0_23,negated_conjecture,
neq(sk2,nil),
c_0_17 ).
cnf(c_0_24,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(fof_simplification,[status(thm)],[clause120]) ).
cnf(c_0_25,negated_conjecture,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
c_0_18 ).
cnf(c_0_26,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
inference(fof_simplification,[status(thm)],[co1_16]) ).
cnf(c_0_27,negated_conjecture,
( app(cons(sk5,nil),sk6) = sk4
| ~ neq(sk4,nil) ),
c_0_19 ).
cnf(c_0_28,negated_conjecture,
cons(sk5,nil) = sk1,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_23])]) ).
cnf(c_0_29,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
c_0_24 ).
cnf(c_0_30,negated_conjecture,
ssItem(sk5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_22]),c_0_23])]) ).
cnf(c_0_31,negated_conjecture,
( ssList(sk6)
| ~ neq(sk4,nil) ),
c_0_26 ).
cnf(c_0_32,negated_conjecture,
( ~ ssList(X1)
| sk2 != X1
| ~ ssList(X2)
| tl(sk2) != X2
| app(sk1,X2) != X1
| ~ neq(nil,sk2)
| ~ neq(sk4,nil) ),
inference(fof_simplification,[status(thm)],[co1_14]) ).
cnf(c_0_33,plain,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(fof_simplification,[status(thm)],[clause96]) ).
cnf(c_0_34,negated_conjecture,
app(sk1,sk6) = sk2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28]),c_0_22]),c_0_22]),c_0_23])]) ).
cnf(c_0_35,negated_conjecture,
( app(sk1,X1) = cons(sk5,X1)
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_28]),c_0_30])]) ).
cnf(c_0_36,negated_conjecture,
ssList(sk6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_31,c_0_22]),c_0_23])]) ).
cnf(c_0_37,plain,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(fof_simplification,[status(thm)],[clause98]) ).
cnf(c_0_38,negated_conjecture,
( ~ ssList(X1)
| sk2 != X1
| ~ ssList(X2)
| tl(sk2) != X2
| app(sk1,X2) != X1
| ~ neq(nil,sk2)
| ~ neq(sk4,nil) ),
c_0_32 ).
cnf(c_0_39,plain,
( tl(cons(X1,X2)) = X2
| ~ ssItem(X1)
| ~ ssList(X2) ),
c_0_33 ).
cnf(c_0_40,negated_conjecture,
cons(sk5,sk6) = sk2,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36])]) ).
cnf(c_0_41,plain,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(fof_simplification,[status(thm)],[clause118]) ).
cnf(c_0_42,plain,
( cons(X1,X2) != nil
| ~ ssItem(X1)
| ~ ssList(X2) ),
c_0_37 ).
cnf(c_0_43,axiom,
ssList(nil),
clause8 ).
cnf(c_0_44,negated_conjecture,
( app(sk1,tl(sk2)) != sk2
| ~ neq(nil,sk2)
| ~ ssList(app(sk1,tl(sk2)))
| ~ ssList(tl(sk2)) ),
inference(er,[status(thm)],[inference(er,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_22]),c_0_23])])])]) ).
cnf(c_0_45,negated_conjecture,
tl(sk2) = sk6,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_30]),c_0_36])]) ).
cnf(c_0_46,negated_conjecture,
ssList(sk2),
co1_2 ).
cnf(c_0_47,plain,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(fof_simplification,[status(thm)],[clause100]) ).
cnf(c_0_48,plain,
( nil = X1
| app(X1,X2) != nil
| ~ ssList(X2)
| ~ ssList(X1) ),
c_0_41 ).
cnf(c_0_49,negated_conjecture,
ssList(sk1),
co1_1 ).
cnf(c_0_50,negated_conjecture,
sk1 != nil,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_28]),c_0_30]),c_0_43])]) ).
cnf(c_0_51,negated_conjecture,
~ neq(nil,sk2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_45]),c_0_34]),c_0_45]),c_0_34]),c_0_46]),c_0_45]),c_0_36])]) ).
cnf(c_0_52,plain,
( neq(X2,X1)
| X2 = X1
| ~ ssList(X1)
| ~ ssList(X2) ),
c_0_47 ).
cnf(c_0_53,negated_conjecture,
sk2 != nil,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_34]),c_0_36]),c_0_49])]),c_0_50]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_43]),c_0_46])]),c_0_53]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SWC014-1 : TPTP v8.2.0. Released v2.4.0.
% 0.06/0.11 % Command : run_E %s %d THM
% 0.11/0.31 % Computer : n016.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sun May 19 03:25:22 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 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/benchmark/theBenchmark.p
% 0.16/0.45 # Version: 3.1.0
% 0.16/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # Starting sh5l with 300s (1) cores
% 0.16/0.45 # sh5l with pid 12517 completed with status 0
% 0.16/0.45 # Result found by sh5l
% 0.16/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # Starting sh5l with 300s (1) cores
% 0.16/0.45 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.45 # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.16/0.45 # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.16/0.45 # G-E--_208_C18_F1_SE_CS_SP_PS_S2s with pid 12525 completed with status 0
% 0.16/0.45 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S2s
% 0.16/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.16/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.16/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.16/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.16/0.45 # Starting sh5l with 300s (1) cores
% 0.16/0.45 # SinE strategy is gf500_gu_R04_F100_L20000
% 0.16/0.45 # Search class: FGHSM-FSLM21-MFFFFFNN
% 0.16/0.45 # Scheduled 9 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.45 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2s with 82s (1) cores
% 0.16/0.45 # Preprocessing time : 0.003 s
% 0.16/0.45 # Presaturation interreduction done
% 0.16/0.45
% 0.16/0.45 # Proof found!
% 0.16/0.45 # SZS status Unsatisfiable
% 0.16/0.45 # SZS output start CNFRefutation
% See solution above
% 0.16/0.45 # Parsed axioms : 203
% 0.16/0.45 # Removed by relevancy pruning/SinE : 30
% 0.16/0.45 # Initial clauses : 173
% 0.16/0.45 # Removed in clause preprocessing : 0
% 0.16/0.45 # Initial clauses in saturation : 173
% 0.16/0.45 # Processed clauses : 316
% 0.16/0.45 # ...of these trivial : 8
% 0.16/0.45 # ...subsumed : 10
% 0.16/0.45 # ...remaining for further processing : 298
% 0.16/0.45 # Other redundant clauses eliminated : 23
% 0.16/0.45 # Clauses deleted for lack of memory : 0
% 0.16/0.45 # Backward-subsumed : 1
% 0.16/0.45 # Backward-rewritten : 1
% 0.16/0.45 # Generated clauses : 76
% 0.16/0.45 # ...of the previous two non-redundant : 57
% 0.16/0.45 # ...aggressively subsumed : 0
% 0.16/0.45 # Contextual simplify-reflections : 2
% 0.16/0.45 # Paramodulations : 55
% 0.16/0.45 # Factorizations : 0
% 0.16/0.45 # NegExts : 0
% 0.16/0.45 # Equation resolutions : 23
% 0.16/0.45 # Disequality decompositions : 0
% 0.16/0.45 # Total rewrite steps : 113
% 0.16/0.45 # ...of those cached : 100
% 0.16/0.45 # Propositional unsat checks : 0
% 0.16/0.45 # Propositional check models : 0
% 0.16/0.45 # Propositional check unsatisfiable : 0
% 0.16/0.45 # Propositional clauses : 0
% 0.16/0.45 # Propositional clauses after purity: 0
% 0.16/0.45 # Propositional unsat core size : 0
% 0.16/0.45 # Propositional preprocessing time : 0.000
% 0.16/0.45 # Propositional encoding time : 0.000
% 0.16/0.45 # Propositional solver time : 0.000
% 0.16/0.45 # Success case prop preproc time : 0.000
% 0.16/0.45 # Success case prop encoding time : 0.000
% 0.16/0.45 # Success case prop solver time : 0.000
% 0.16/0.45 # Current number of processed clauses : 116
% 0.16/0.45 # Positive orientable unit clauses : 58
% 0.16/0.45 # Positive unorientable unit clauses: 0
% 0.16/0.45 # Negative unit clauses : 4
% 0.16/0.45 # Non-unit-clauses : 54
% 0.16/0.45 # Current number of unprocessed clauses: 73
% 0.16/0.45 # ...number of literals in the above : 351
% 0.16/0.45 # Current number of archived formulas : 0
% 0.16/0.45 # Current number of archived clauses : 161
% 0.16/0.45 # Clause-clause subsumption calls (NU) : 6779
% 0.16/0.45 # Rec. Clause-clause subsumption calls : 951
% 0.16/0.45 # Non-unit clause-clause subsumptions : 10
% 0.16/0.45 # Unit Clause-clause subsumption calls : 109
% 0.16/0.45 # Rewrite failures with RHS unbound : 0
% 0.16/0.45 # BW rewrite match attempts : 1
% 0.16/0.45 # BW rewrite match successes : 1
% 0.16/0.45 # Condensation attempts : 0
% 0.16/0.45 # Condensation successes : 0
% 0.16/0.45 # Termbank termtop insertions : 9010
% 0.16/0.45 # Search garbage collected termcells : 629
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.019 s
% 0.16/0.45 # System time : 0.003 s
% 0.16/0.45 # Total time : 0.022 s
% 0.16/0.45 # Maximum resident set size: 2232 pages
% 0.16/0.45
% 0.16/0.45 # -------------------------------------------------
% 0.16/0.45 # User time : 0.024 s
% 0.16/0.45 # System time : 0.004 s
% 0.16/0.45 # Total time : 0.028 s
% 0.16/0.45 # Maximum resident set size: 1876 pages
% 0.16/0.45 % E---3.1 exiting
% 0.16/0.46 % E exiting
%------------------------------------------------------------------------------