TSTP Solution File: LAT394-1 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : LAT394-1 : TPTP v8.1.2. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n009.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 : Sat May 4 08:17:21 EDT 2024
% Result : Unsatisfiable 0.76s 0.59s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 2
% Syntax : Number of clauses : 35 ( 35 unt; 0 nHn; 4 RR)
% Number of literals : 35 ( 34 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 75 ( 20 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sos,axiom,
f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X2,f(f(X1,X1),X1)),X3))) = X2,
file('/export/starexec/sandbox/tmp/tmp.oEyts7CeZk/E---3.1_2585.p',sos) ).
cnf(goals,negated_conjecture,
f(x0,f(x0,x0)) != f(x1,f(x1,x1)),
file('/export/starexec/sandbox/tmp/tmp.oEyts7CeZk/E---3.1_2585.p',goals) ).
cnf(c_0_2,axiom,
f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,f(f(X2,f(f(X1,X1),X1)),X3))) = X2,
sos ).
cnf(c_0_3,plain,
f(X1,f(f(X1,X2),f(f(f(X1,X2),f(f(f(X3,X1),f(X3,X1)),f(X3,X1))),X4))) = f(X1,X2),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
f(f(X1,X2),f(f(f(X1,X2),f(X2,X3)),X2)) = f(f(X1,X2),f(X2,X3)),
inference(spm,[status(thm)],[c_0_3,c_0_2]) ).
cnf(c_0_5,plain,
f(f(f(f(X1,X2),f(X2,X3)),X2),f(X2,X2)) = X2,
inference(spm,[status(thm)],[c_0_4,c_0_2]) ).
cnf(c_0_6,plain,
f(f(X1,X1),f(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_5,c_0_5]) ).
cnf(c_0_7,plain,
f(f(X1,X2),f(X1,f(f(X1,f(f(X1,X1),X1)),X1))) = X1,
inference(spm,[status(thm)],[c_0_2,c_0_6]) ).
cnf(c_0_8,plain,
f(X1,f(f(X1,X2),f(X1,X2))) = f(X1,X2),
inference(spm,[status(thm)],[c_0_3,c_0_7]) ).
cnf(c_0_9,plain,
f(X1,f(f(X1,f(f(X1,X1),X2)),f(X1,X1))) = f(X1,f(f(X1,X1),X2)),
inference(spm,[status(thm)],[c_0_4,c_0_5]) ).
cnf(c_0_10,plain,
f(f(X1,X2),f(X1,X1)) = X1,
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_11,plain,
f(X1,f(f(X1,X1),X2)) = f(X1,X1),
inference(rw,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
f(f(X1,X1),f(X1,X2)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_7]),c_0_11]),c_0_11]) ).
cnf(c_0_13,plain,
f(f(f(f(X1,X2),f(X2,X3)),X4),f(X2,X2)) = X2,
inference(spm,[status(thm)],[c_0_8,c_0_2]) ).
cnf(c_0_14,plain,
f(f(X1,X2),f(X2,f(f(X2,f(f(X1,X1),X1)),X3))) = X2,
inference(spm,[status(thm)],[c_0_2,c_0_7]) ).
cnf(c_0_15,plain,
f(f(f(X1,X2),f(X1,X2)),X1) = f(X1,X2),
inference(spm,[status(thm)],[c_0_12,c_0_7]) ).
cnf(c_0_16,plain,
f(f(X1,X2),f(X2,X2)) = X2,
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
cnf(c_0_17,plain,
f(f(X1,X2),f(X2,f(f(X1,X1),X1))) = X2,
inference(spm,[status(thm)],[c_0_14,c_0_14]) ).
cnf(c_0_18,plain,
f(f(X1,X1),f(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_19,plain,
f(X1,f(f(X1,X2),f(X1,f(X1,X1)))) = f(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_12]),c_0_10]) ).
cnf(c_0_20,plain,
f(X1,f(X2,f(X1,X1))) = f(X1,X1),
inference(spm,[status(thm)],[c_0_18,c_0_18]) ).
cnf(c_0_21,plain,
f(f(X1,X2),f(X1,f(f(X3,X3),X3))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_19]),c_0_20]),c_0_16]) ).
cnf(c_0_22,plain,
f(X1,f(f(X1,f(f(X2,X1),X3)),f(X2,X1))) = f(X1,f(f(X2,X1),X3)),
inference(spm,[status(thm)],[c_0_4,c_0_18]) ).
cnf(c_0_23,plain,
f(X1,f(f(X2,X1),f(X2,X1))) = f(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_16]),c_0_11]),c_0_11]) ).
cnf(c_0_24,plain,
f(X1,X1) = f(X1,f(f(X2,X2),X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_21]),c_0_21]) ).
cnf(c_0_25,plain,
f(X1,f(f(X1,X2),f(X2,X1))) = f(X1,X2),
inference(spm,[status(thm)],[c_0_22,c_0_7]) ).
cnf(c_0_26,plain,
f(f(f(X1,X1),X1),X2) = f(X2,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_6]) ).
cnf(c_0_27,plain,
f(f(X1,X1),X1) = f(X1,f(X1,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_23]) ).
cnf(c_0_28,plain,
f(f(X1,f(X2,X2)),X2) = f(X2,X2),
inference(spm,[status(thm)],[c_0_16,c_0_16]) ).
cnf(c_0_29,negated_conjecture,
f(x0,f(x0,x0)) != f(x1,f(x1,x1)),
inference(fof_simplification,[status(thm)],[goals]) ).
cnf(c_0_30,plain,
f(f(X1,f(X2,f(X2,X2))),f(X3,X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_27]) ).
cnf(c_0_31,plain,
f(f(X1,X2),f(X2,f(X3,f(X3,X3)))) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_21]),c_0_27]) ).
cnf(c_0_32,negated_conjecture,
f(x0,f(x0,x0)) != f(x1,f(x1,x1)),
c_0_29 ).
cnf(c_0_33,plain,
f(X1,f(X1,X1)) = f(X2,f(X2,X2)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_32,c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LAT394-1 : TPTP v8.1.2. Released v5.4.0.
% 0.13/0.14 % Command : run_E %s %d THM
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Fri May 3 08:07:55 EDT 2024
% 0.21/0.36 % CPUTime :
% 0.21/0.49 Running first-order model finding
% 0.21/0.49 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/tmp/tmp.oEyts7CeZk/E---3.1_2585.p
% 0.76/0.59 # Version: 3.1.0
% 0.76/0.59 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.76/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.76/0.59 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.76/0.59 # Starting new_bool_3 with 300s (1) cores
% 0.76/0.59 # Starting new_bool_1 with 300s (1) cores
% 0.76/0.59 # Starting sh5l with 300s (1) cores
% 0.76/0.59 # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 2687 completed with status 0
% 0.76/0.59 # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.76/0.59 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.76/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.76/0.59 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.76/0.59 # No SInE strategy applied
% 0.76/0.59 # Search class: FUUPF-FFSF22-DFFFFFNN
% 0.76/0.59 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.76/0.59 # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.76/0.59 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.76/0.59 # Starting new_bool_3 with 136s (1) cores
% 0.76/0.59 # Starting G----_0015_C18_F1_SE_CS_SP_S0Y with 136s (1) cores
% 0.76/0.59 # Starting SAT001_MinMin_p005000_rr_RG with 136s (1) cores
% 0.76/0.59 # G----_0015_C18_F1_SE_CS_SP_S0Y with pid 2697 completed with status 0
% 0.76/0.59 # Result found by G----_0015_C18_F1_SE_CS_SP_S0Y
% 0.76/0.59 # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.76/0.59 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.76/0.59 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.76/0.59 # No SInE strategy applied
% 0.76/0.59 # Search class: FUUPF-FFSF22-DFFFFFNN
% 0.76/0.59 # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.76/0.59 # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 0.76/0.59 # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.76/0.59 # Starting new_bool_3 with 136s (1) cores
% 0.76/0.59 # Starting G----_0015_C18_F1_SE_CS_SP_S0Y with 136s (1) cores
% 0.76/0.59 # Preprocessing time : 0.001 s
% 0.76/0.59
% 0.76/0.59 # Proof found!
% 0.76/0.59 # SZS status Unsatisfiable
% 0.76/0.59 # SZS output start CNFRefutation
% See solution above
% 0.76/0.59 # Parsed axioms : 5
% 0.76/0.59 # Removed by relevancy pruning/SinE : 0
% 0.76/0.59 # Initial clauses : 5
% 0.76/0.59 # Removed in clause preprocessing : 3
% 0.76/0.59 # Initial clauses in saturation : 2
% 0.76/0.59 # Processed clauses : 222
% 0.76/0.59 # ...of these trivial : 104
% 0.76/0.59 # ...subsumed : 51
% 0.76/0.59 # ...remaining for further processing : 67
% 0.76/0.59 # Other redundant clauses eliminated : 0
% 0.76/0.59 # Clauses deleted for lack of memory : 0
% 0.76/0.59 # Backward-subsumed : 0
% 0.76/0.59 # Backward-rewritten : 13
% 0.76/0.59 # Generated clauses : 8453
% 0.76/0.59 # ...of the previous two non-redundant : 3053
% 0.76/0.59 # ...aggressively subsumed : 0
% 0.76/0.59 # Contextual simplify-reflections : 0
% 0.76/0.59 # Paramodulations : 8452
% 0.76/0.59 # Factorizations : 0
% 0.76/0.59 # NegExts : 0
% 0.76/0.59 # Equation resolutions : 0
% 0.76/0.59 # Disequality decompositions : 0
% 0.76/0.59 # Total rewrite steps : 8995
% 0.76/0.59 # ...of those cached : 7773
% 0.76/0.59 # Propositional unsat checks : 0
% 0.76/0.59 # Propositional check models : 0
% 0.76/0.59 # Propositional check unsatisfiable : 0
% 0.76/0.59 # Propositional clauses : 0
% 0.76/0.59 # Propositional clauses after purity: 0
% 0.76/0.59 # Propositional unsat core size : 0
% 0.76/0.59 # Propositional preprocessing time : 0.000
% 0.76/0.59 # Propositional encoding time : 0.000
% 0.76/0.59 # Propositional solver time : 0.000
% 0.76/0.59 # Success case prop preproc time : 0.000
% 0.76/0.59 # Success case prop encoding time : 0.000
% 0.76/0.59 # Success case prop solver time : 0.000
% 0.76/0.59 # Current number of processed clauses : 53
% 0.76/0.59 # Positive orientable unit clauses : 50
% 0.76/0.59 # Positive unorientable unit clauses: 3
% 0.76/0.59 # Negative unit clauses : 0
% 0.76/0.59 # Non-unit-clauses : 0
% 0.76/0.59 # Current number of unprocessed clauses: 2783
% 0.76/0.59 # ...number of literals in the above : 2783
% 0.76/0.59 # Current number of archived formulas : 0
% 0.76/0.59 # Current number of archived clauses : 17
% 0.76/0.59 # Clause-clause subsumption calls (NU) : 0
% 0.76/0.59 # Rec. Clause-clause subsumption calls : 0
% 0.76/0.59 # Non-unit clause-clause subsumptions : 0
% 0.76/0.59 # Unit Clause-clause subsumption calls : 220
% 0.76/0.59 # Rewrite failures with RHS unbound : 70
% 0.76/0.59 # BW rewrite match attempts : 1104
% 0.76/0.59 # BW rewrite match successes : 52
% 0.76/0.59 # Condensation attempts : 0
% 0.76/0.59 # Condensation successes : 0
% 0.76/0.59 # Termbank termtop insertions : 95711
% 0.76/0.59 # Search garbage collected termcells : 2
% 0.76/0.59
% 0.76/0.59 # -------------------------------------------------
% 0.76/0.59 # User time : 0.072 s
% 0.76/0.59 # System time : 0.005 s
% 0.76/0.59 # Total time : 0.077 s
% 0.76/0.59 # Maximum resident set size: 1556 pages
% 0.76/0.59
% 0.76/0.59 # -------------------------------------------------
% 0.76/0.59 # User time : 0.393 s
% 0.76/0.59 # System time : 0.023 s
% 0.76/0.59 # Total time : 0.416 s
% 0.76/0.59 # Maximum resident set size: 1688 pages
% 0.76/0.59 % E---3.1 exiting
%------------------------------------------------------------------------------