TSTP Solution File: SYN578-1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : SYN578-1 : TPTP v8.2.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n015.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 08:00:36 EDT 2024
% Result : Unsatisfiable 0.21s 0.51s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of clauses : 49 ( 19 unt; 4 nHn; 41 RR)
% Number of literals : 108 ( 0 equ; 59 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 76 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(p3_17,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_17) ).
cnf(p3_8,negated_conjecture,
p3(f4(f5(X1)),f4(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_8) ).
cnf(p3_14,negated_conjecture,
( p3(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_14) ).
cnf(p2_18,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_18) ).
cnf(p2_4,negated_conjecture,
p2(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
cnf(p2_7,negated_conjecture,
p2(c16,f5(c14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_7) ).
cnf(p9_20,negated_conjecture,
( p9(X1,X2)
| ~ p7(X3,X1)
| ~ p9(X3,X4)
| ~ p3(X4,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_20) ).
cnf(p9_11,negated_conjecture,
( p9(X1,f4(c16))
| ~ p9(X1,c13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_11) ).
cnf(p3_3,negated_conjecture,
p3(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).
cnf(p9_22,negated_conjecture,
( p9(f8(X1,X2),X1)
| p9(f8(X1,X2),f4(X2))
| ~ p11(X2,c15)
| ~ p9(c12,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_22) ).
cnf(p11_6,negated_conjecture,
p11(c14,c15),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p11_6) ).
cnf(p7_2,negated_conjecture,
p7(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).
cnf(not_p11_23,negated_conjecture,
( ~ p11(X1,c15)
| ~ p9(c12,X2)
| ~ p9(f8(X2,X1),X2)
| ~ p9(f8(X2,X1),f4(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p11_23) ).
cnf(p9_5,negated_conjecture,
p9(c12,c13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_5) ).
cnf(c_0_14,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
inference(fof_simplification,[status(thm)],[p3_17]) ).
cnf(c_0_15,negated_conjecture,
( p3(X1,X2)
| ~ p3(X3,X1)
| ~ p3(X3,X2) ),
c_0_14 ).
cnf(c_0_16,negated_conjecture,
p3(f4(f5(X1)),f4(X1)),
p3_8 ).
cnf(c_0_17,negated_conjecture,
( p3(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
inference(fof_simplification,[status(thm)],[p3_14]) ).
cnf(c_0_18,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
inference(fof_simplification,[status(thm)],[p2_18]) ).
cnf(c_0_19,negated_conjecture,
( p3(X1,f4(X2))
| ~ p3(f4(f5(X2)),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,negated_conjecture,
( p3(f4(X1),f4(X2))
| ~ p2(X1,X2) ),
c_0_17 ).
cnf(c_0_21,negated_conjecture,
( p2(X1,X2)
| ~ p2(X3,X1)
| ~ p2(X3,X2) ),
c_0_18 ).
cnf(c_0_22,negated_conjecture,
p2(X1,X1),
p2_4 ).
cnf(c_0_23,negated_conjecture,
( p3(f4(X1),f4(X2))
| ~ p2(f5(X2),X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,negated_conjecture,
( p2(X1,X2)
| ~ p2(X2,X1) ),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
cnf(c_0_25,negated_conjecture,
p2(c16,f5(c14)),
p2_7 ).
cnf(c_0_26,negated_conjecture,
( p9(X1,X2)
| ~ p7(X3,X1)
| ~ p9(X3,X4)
| ~ p3(X4,X2) ),
inference(fof_simplification,[status(thm)],[p9_20]) ).
cnf(c_0_27,negated_conjecture,
( p9(X1,f4(c16))
| ~ p9(X1,c13) ),
inference(fof_simplification,[status(thm)],[p9_11]) ).
cnf(c_0_28,negated_conjecture,
( p3(X1,f4(X2))
| ~ p2(f5(X2),X3)
| ~ p3(f4(X3),X1) ),
inference(spm,[status(thm)],[c_0_15,c_0_23]) ).
cnf(c_0_29,negated_conjecture,
p2(f5(c14),c16),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,negated_conjecture,
( p9(X1,X2)
| ~ p7(X3,X1)
| ~ p9(X3,X4)
| ~ p3(X4,X2) ),
c_0_26 ).
cnf(c_0_31,negated_conjecture,
( p9(X1,f4(c16))
| ~ p9(X1,c13) ),
c_0_27 ).
cnf(c_0_32,negated_conjecture,
( p3(X1,f4(c14))
| ~ p3(f4(c16),X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
p3(X1,X1),
p3_3 ).
cnf(c_0_34,negated_conjecture,
( p9(f8(X1,X2),X1)
| p9(f8(X1,X2),f4(X2))
| ~ p11(X2,c15)
| ~ p9(c12,X1) ),
inference(fof_simplification,[status(thm)],[p9_22]) ).
cnf(c_0_35,negated_conjecture,
( p9(X1,X2)
| ~ p9(X3,c13)
| ~ p3(f4(c16),X2)
| ~ p7(X3,X1) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,negated_conjecture,
p3(f4(c16),f4(c14)),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( p9(f8(X1,X2),X1)
| p9(f8(X1,X2),f4(X2))
| ~ p11(X2,c15)
| ~ p9(c12,X1) ),
c_0_34 ).
cnf(c_0_38,negated_conjecture,
p11(c14,c15),
p11_6 ).
cnf(c_0_39,negated_conjecture,
( p9(X1,f4(c14))
| ~ p9(X2,c13)
| ~ p7(X2,X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
p7(X1,X1),
p7_2 ).
cnf(c_0_41,negated_conjecture,
( ~ p11(X1,c15)
| ~ p9(c12,X2)
| ~ p9(f8(X2,X1),X2)
| ~ p9(f8(X2,X1),f4(X1)) ),
inference(fof_simplification,[status(thm)],[not_p11_23]) ).
cnf(c_0_42,negated_conjecture,
( p9(f8(X1,c14),f4(c14))
| p9(f8(X1,c14),X1)
| ~ p9(c12,X1) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_43,negated_conjecture,
( p9(X1,f4(c14))
| ~ p9(X1,c13) ),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_44,negated_conjecture,
p9(c12,c13),
p9_5 ).
cnf(c_0_45,negated_conjecture,
( ~ p11(X1,c15)
| ~ p9(c12,X2)
| ~ p9(f8(X2,X1),X2)
| ~ p9(f8(X2,X1),f4(X1)) ),
c_0_41 ).
cnf(c_0_46,negated_conjecture,
p9(f8(f4(c14),c14),f4(c14)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_44])]) ).
cnf(c_0_47,negated_conjecture,
~ p9(c12,f4(c14)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_38]),c_0_46])]) ).
cnf(c_0_48,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_43]),c_0_44])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN578-1 : TPTP v8.2.0. Released v2.5.0.
% 0.06/0.13 % Command : run_E %s %d THM
% 0.14/0.34 % Computer : n015.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon May 20 15:05:37 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.21/0.47 Running first-order model finding
% 0.21/0.47 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
% 0.21/0.51 # Version: 3.1.0
% 0.21/0.51 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.51 # Starting new_bool_3 with 300s (1) cores
% 0.21/0.51 # Starting new_bool_1 with 300s (1) cores
% 0.21/0.51 # Starting sh5l with 300s (1) cores
% 0.21/0.51 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 28282 completed with status 0
% 0.21/0.51 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.51 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.51 # No SInE strategy applied
% 0.21/0.51 # Search class: FGHNM-FFSS21-SFFFFFNN
% 0.21/0.51 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.51 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.21/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/0.51 # Starting new_bool_3 with 136s (1) cores
% 0.21/0.51 # Starting new_bool_1 with 136s (1) cores
% 0.21/0.51 # Starting sh5l with 136s (1) cores
% 0.21/0.51 # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 28287 completed with status 0
% 0.21/0.51 # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.51 # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.21/0.51 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.21/0.51 # No SInE strategy applied
% 0.21/0.51 # Search class: FGHNM-FFSS21-SFFFFFNN
% 0.21/0.51 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.51 # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.21/0.51 # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.21/0.51 # Preprocessing time : 0.001 s
% 0.21/0.51 # Presaturation interreduction done
% 0.21/0.51
% 0.21/0.51 # Proof found!
% 0.21/0.51 # SZS status Unsatisfiable
% 0.21/0.51 # SZS output start CNFRefutation
% See solution above
% 0.21/0.51 # Parsed axioms : 23
% 0.21/0.51 # Removed by relevancy pruning/SinE : 0
% 0.21/0.51 # Initial clauses : 23
% 0.21/0.51 # Removed in clause preprocessing : 0
% 0.21/0.51 # Initial clauses in saturation : 23
% 0.21/0.51 # Processed clauses : 327
% 0.21/0.51 # ...of these trivial : 8
% 0.21/0.51 # ...subsumed : 92
% 0.21/0.51 # ...remaining for further processing : 227
% 0.21/0.51 # Other redundant clauses eliminated : 0
% 0.21/0.51 # Clauses deleted for lack of memory : 0
% 0.21/0.51 # Backward-subsumed : 7
% 0.21/0.51 # Backward-rewritten : 0
% 0.21/0.51 # Generated clauses : 1386
% 0.21/0.51 # ...of the previous two non-redundant : 1113
% 0.21/0.51 # ...aggressively subsumed : 0
% 0.21/0.51 # Contextual simplify-reflections : 1
% 0.21/0.51 # Paramodulations : 1386
% 0.21/0.51 # Factorizations : 0
% 0.21/0.51 # NegExts : 0
% 0.21/0.51 # Equation resolutions : 0
% 0.21/0.51 # Disequality decompositions : 0
% 0.21/0.51 # Total rewrite steps : 376
% 0.21/0.51 # ...of those cached : 307
% 0.21/0.51 # Propositional unsat checks : 0
% 0.21/0.51 # Propositional check models : 0
% 0.21/0.51 # Propositional check unsatisfiable : 0
% 0.21/0.51 # Propositional clauses : 0
% 0.21/0.51 # Propositional clauses after purity: 0
% 0.21/0.51 # Propositional unsat core size : 0
% 0.21/0.51 # Propositional preprocessing time : 0.000
% 0.21/0.51 # Propositional encoding time : 0.000
% 0.21/0.51 # Propositional solver time : 0.000
% 0.21/0.51 # Success case prop preproc time : 0.000
% 0.21/0.51 # Success case prop encoding time : 0.000
% 0.21/0.51 # Success case prop solver time : 0.000
% 0.21/0.51 # Current number of processed clauses : 197
% 0.21/0.51 # Positive orientable unit clauses : 53
% 0.21/0.51 # Positive unorientable unit clauses: 0
% 0.21/0.51 # Negative unit clauses : 1
% 0.21/0.51 # Non-unit-clauses : 143
% 0.21/0.51 # Current number of unprocessed clauses: 830
% 0.21/0.51 # ...number of literals in the above : 2204
% 0.21/0.51 # Current number of archived formulas : 0
% 0.21/0.51 # Current number of archived clauses : 30
% 0.21/0.51 # Clause-clause subsumption calls (NU) : 4362
% 0.21/0.51 # Rec. Clause-clause subsumption calls : 3726
% 0.21/0.51 # Non-unit clause-clause subsumptions : 100
% 0.21/0.51 # Unit Clause-clause subsumption calls : 65
% 0.21/0.51 # Rewrite failures with RHS unbound : 0
% 0.21/0.51 # BW rewrite match attempts : 59
% 0.21/0.51 # BW rewrite match successes : 0
% 0.21/0.51 # Condensation attempts : 0
% 0.21/0.51 # Condensation successes : 0
% 0.21/0.51 # Termbank termtop insertions : 17508
% 0.21/0.51 # Search garbage collected termcells : 69
% 0.21/0.51
% 0.21/0.51 # -------------------------------------------------
% 0.21/0.51 # User time : 0.025 s
% 0.21/0.51 # System time : 0.003 s
% 0.21/0.51 # Total time : 0.028 s
% 0.21/0.51 # Maximum resident set size: 1676 pages
% 0.21/0.51
% 0.21/0.51 # -------------------------------------------------
% 0.21/0.51 # User time : 0.126 s
% 0.21/0.51 # System time : 0.010 s
% 0.21/0.51 # Total time : 0.136 s
% 0.21/0.51 # Maximum resident set size: 1708 pages
% 0.21/0.51 % E---3.1 exiting
%------------------------------------------------------------------------------