TSTP Solution File: SWC238-1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SWC238-1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n012.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 04:28:34 EDT 2024
% Result : Unsatisfiable 0.15s 0.45s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of clauses : 39 ( 12 unt; 3 nHn; 35 RR)
% Number of literals : 102 ( 28 equ; 71 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 54 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause71,axiom,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause71) ).
cnf(co1_9,negated_conjecture,
( memberP(X2,sk5(X3,X2,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,cons(X1,nil)),X3) != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_9) ).
cnf(clause8,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause8) ).
cnf(co1_8,negated_conjecture,
( ssItem(sk5(X3,X2,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,cons(X1,nil)),X3) != sk1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_8) ).
cnf(clause74,axiom,
( app(nil,X1) = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause74) ).
cnf(clause120,axiom,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause120) ).
cnf(clause86,axiom,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause86) ).
cnf(clause109,axiom,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause109) ).
cnf(clause12,axiom,
ssItem(skaf83(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause12) ).
cnf(clause13,axiom,
ssList(skaf82(X1)),
file('/export/starexec/sandbox/benchmark/Axioms/SWC001-0.ax',clause13) ).
cnf(co1_7,negated_conjecture,
nil != sk1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_7) ).
cnf(co1_1,negated_conjecture,
ssList(sk1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1_1) ).
cnf(c_0_12,plain,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
inference(fof_simplification,[status(thm)],[clause71]) ).
cnf(c_0_13,negated_conjecture,
( memberP(X2,sk5(X3,X2,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,cons(X1,nil)),X3) != sk1 ),
inference(fof_simplification,[status(thm)],[co1_9]) ).
cnf(c_0_14,plain,
( ~ memberP(nil,X1)
| ~ ssItem(X1) ),
c_0_12 ).
cnf(c_0_15,negated_conjecture,
( memberP(X2,sk5(X3,X2,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,cons(X1,nil)),X3) != sk1 ),
c_0_13 ).
cnf(c_0_16,axiom,
ssList(nil),
clause8 ).
cnf(c_0_17,negated_conjecture,
( ssItem(sk5(X3,X2,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,cons(X1,nil)),X3) != sk1 ),
inference(fof_simplification,[status(thm)],[co1_8]) ).
cnf(c_0_18,negated_conjecture,
( app(app(nil,cons(X1,nil)),X2) != sk1
| ~ ssItem(sk5(X2,nil,X1))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).
cnf(c_0_19,negated_conjecture,
( ssItem(sk5(X3,X2,X1))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| app(app(X2,cons(X1,nil)),X3) != sk1 ),
c_0_17 ).
cnf(c_0_20,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
inference(fof_simplification,[status(thm)],[clause74]) ).
cnf(c_0_21,negated_conjecture,
( app(app(nil,cons(X1,nil)),X2) != sk1
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_16])]) ).
cnf(c_0_22,plain,
( app(nil,X1) = X1
| ~ ssList(X1) ),
c_0_20 ).
cnf(c_0_23,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(fof_simplification,[status(thm)],[clause120]) ).
cnf(c_0_24,negated_conjecture,
( app(cons(X1,nil),X2) != sk1
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil))
| ~ ssList(X2) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,plain,
( app(cons(X1,nil),X2) = cons(X1,X2)
| ~ ssItem(X1)
| ~ ssList(X2) ),
c_0_23 ).
cnf(c_0_26,plain,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(fof_simplification,[status(thm)],[clause86]) ).
cnf(c_0_27,negated_conjecture,
( cons(X1,X2) != sk1
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil))
| ~ ssList(X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_28,plain,
( ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
c_0_26 ).
cnf(c_0_29,plain,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
inference(fof_simplification,[status(thm)],[clause109]) ).
cnf(c_0_30,negated_conjecture,
( cons(X1,X2) != sk1
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_16])]) ).
cnf(c_0_31,plain,
( cons(skaf83(X1),skaf82(X1)) = X1
| nil = X1
| ~ ssList(X1) ),
c_0_29 ).
cnf(c_0_32,axiom,
ssItem(skaf83(X1)),
clause12 ).
cnf(c_0_33,axiom,
ssList(skaf82(X1)),
clause13 ).
cnf(c_0_34,negated_conjecture,
nil != sk1,
inference(fof_simplification,[status(thm)],[co1_7]) ).
cnf(c_0_35,negated_conjecture,
( nil = X1
| X1 != sk1
| ~ ssList(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]),c_0_33])]) ).
cnf(c_0_36,negated_conjecture,
ssList(sk1),
co1_1 ).
cnf(c_0_37,negated_conjecture,
nil != sk1,
c_0_34 ).
cnf(c_0_38,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SWC238-1 : TPTP v8.2.0. Released v2.4.0.
% 0.09/0.11 % Command : run_E %s %d THM
% 0.10/0.30 % Computer : n012.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sun May 19 02:51:53 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.15/0.39 Running first-order model finding
% 0.15/0.39 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
% 0.15/0.45 # Version: 3.1.0
% 0.15/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.45 # Starting new_bool_3 with 300s (1) cores
% 0.15/0.45 # Starting new_bool_1 with 300s (1) cores
% 0.15/0.45 # Starting sh5l with 300s (1) cores
% 0.15/0.45 # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 31894 completed with status 0
% 0.15/0.45 # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.15/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.45 # No SInE strategy applied
% 0.15/0.45 # Search class: FGHSM-FSLM31-MFFFFFNN
% 0.15/0.45 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.45 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 0.15/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.15/0.45 # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 0.15/0.45 # Starting U----_116Y_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.15/0.45 # Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 136s (1) cores
% 0.15/0.45 # G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with pid 31904 completed with status 0
% 0.15/0.45 # Result found by G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y
% 0.15/0.45 # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.15/0.45 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.15/0.45 # No SInE strategy applied
% 0.15/0.45 # Search class: FGHSM-FSLM31-MFFFFFNN
% 0.15/0.45 # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.45 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S4d with 675s (1) cores
% 0.15/0.45 # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.15/0.45 # Starting G-E--_207_B07_F1_AE_CS_SP_PI_PS_S0Y with 136s (1) cores
% 0.15/0.45 # Preprocessing time : 0.002 s
% 0.15/0.45 # Presaturation interreduction done
% 0.15/0.45
% 0.15/0.45 # Proof found!
% 0.15/0.45 # SZS status Unsatisfiable
% 0.15/0.45 # SZS output start CNFRefutation
% See solution above
% 0.15/0.45 # Parsed axioms : 204
% 0.15/0.45 # Removed by relevancy pruning/SinE : 0
% 0.15/0.45 # Initial clauses : 204
% 0.15/0.45 # Removed in clause preprocessing : 0
% 0.15/0.45 # Initial clauses in saturation : 204
% 0.15/0.45 # Processed clauses : 760
% 0.15/0.45 # ...of these trivial : 4
% 0.15/0.45 # ...subsumed : 161
% 0.15/0.45 # ...remaining for further processing : 595
% 0.15/0.45 # Other redundant clauses eliminated : 82
% 0.15/0.45 # Clauses deleted for lack of memory : 0
% 0.15/0.45 # Backward-subsumed : 27
% 0.15/0.45 # Backward-rewritten : 0
% 0.15/0.45 # Generated clauses : 1820
% 0.15/0.45 # ...of the previous two non-redundant : 1592
% 0.15/0.45 # ...aggressively subsumed : 0
% 0.15/0.45 # Contextual simplify-reflections : 12
% 0.15/0.45 # Paramodulations : 1719
% 0.15/0.45 # Factorizations : 0
% 0.15/0.45 # NegExts : 0
% 0.15/0.45 # Equation resolutions : 101
% 0.15/0.45 # Disequality decompositions : 0
% 0.15/0.45 # Total rewrite steps : 1493
% 0.15/0.45 # ...of those cached : 1378
% 0.15/0.45 # Propositional unsat checks : 0
% 0.15/0.45 # Propositional check models : 0
% 0.15/0.45 # Propositional check unsatisfiable : 0
% 0.15/0.45 # Propositional clauses : 0
% 0.15/0.45 # Propositional clauses after purity: 0
% 0.15/0.45 # Propositional unsat core size : 0
% 0.15/0.45 # Propositional preprocessing time : 0.000
% 0.15/0.45 # Propositional encoding time : 0.000
% 0.15/0.45 # Propositional solver time : 0.000
% 0.15/0.45 # Success case prop preproc time : 0.000
% 0.15/0.45 # Success case prop encoding time : 0.000
% 0.15/0.45 # Success case prop solver time : 0.000
% 0.15/0.45 # Current number of processed clauses : 366
% 0.15/0.45 # Positive orientable unit clauses : 62
% 0.15/0.45 # Positive unorientable unit clauses: 0
% 0.15/0.45 # Negative unit clauses : 5
% 0.15/0.45 # Non-unit-clauses : 299
% 0.15/0.45 # Current number of unprocessed clauses: 1187
% 0.15/0.45 # ...number of literals in the above : 7031
% 0.15/0.45 # Current number of archived formulas : 0
% 0.15/0.45 # Current number of archived clauses : 224
% 0.15/0.45 # Clause-clause subsumption calls (NU) : 19029
% 0.15/0.45 # Rec. Clause-clause subsumption calls : 3873
% 0.15/0.45 # Non-unit clause-clause subsumptions : 126
% 0.15/0.45 # Unit Clause-clause subsumption calls : 223
% 0.15/0.45 # Rewrite failures with RHS unbound : 0
% 0.15/0.45 # BW rewrite match attempts : 0
% 0.15/0.45 # BW rewrite match successes : 0
% 0.15/0.45 # Condensation attempts : 0
% 0.15/0.45 # Condensation successes : 0
% 0.15/0.45 # Termbank termtop insertions : 40428
% 0.15/0.45 # Search garbage collected termcells : 577
% 0.15/0.45
% 0.15/0.45 # -------------------------------------------------
% 0.15/0.45 # User time : 0.043 s
% 0.15/0.45 # System time : 0.005 s
% 0.15/0.45 # Total time : 0.048 s
% 0.15/0.45 # Maximum resident set size: 2144 pages
% 0.15/0.45
% 0.15/0.45 # -------------------------------------------------
% 0.15/0.45 # User time : 0.214 s
% 0.15/0.45 # System time : 0.018 s
% 0.15/0.45 # Total time : 0.232 s
% 0.15/0.45 # Maximum resident set size: 1880 pages
% 0.15/0.45 % E---3.1 exiting
%------------------------------------------------------------------------------