TSTP Solution File: LCL897-10 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : LCL897-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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 18:23:03 EDT 2023

% Result   : Unsatisfiable 380.39s 49.43s
% Output   : CNFRefutation 380.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   40 (  40 unt;   0 nHn;   5 RR)
%            Number of literals    :   40 (  39 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   85 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(sos_07,axiom,
    ' = =>'('+'(X1,X2),X3) = ' = =>'(X1,' = =>'(X2,X3)),
    file('/export/starexec/sandbox/tmp/tmp.moPnvSRSwi/E---3.1_30321.p',sos_07) ).

cnf(sos_02,axiom,
    '+'(X1,X2) = '+'(X2,X1),
    file('/export/starexec/sandbox/tmp/tmp.moPnvSRSwi/E---3.1_30321.p',sos_02) ).

cnf(sos_04,axiom,
    ' = =>'(X1,X1) = '0',
    file('/export/starexec/sandbox/tmp/tmp.moPnvSRSwi/E---3.1_30321.p',sos_04) ).

cnf(sos_05,axiom,
    ' = =>'(X1,'0') = '0',
    file('/export/starexec/sandbox/tmp/tmp.moPnvSRSwi/E---3.1_30321.p',sos_05) ).

cnf(sos_08,axiom,
    '+'(X1,' = =>'(X1,X2)) = '+'(X2,' = =>'(X2,X1)),
    file('/export/starexec/sandbox/tmp/tmp.moPnvSRSwi/E---3.1_30321.p',sos_08) ).

cnf(sos_01,axiom,
    '+'('+'(X1,X2),X3) = '+'(X1,'+'(X2,X3)),
    file('/export/starexec/sandbox/tmp/tmp.moPnvSRSwi/E---3.1_30321.p',sos_01) ).

cnf(sos_03,axiom,
    '+'(X1,'0') = X1,
    file('/export/starexec/sandbox/tmp/tmp.moPnvSRSwi/E---3.1_30321.p',sos_03) ).

cnf(goals_09,negated_conjecture,
    '+'('+'(a,' = =>'(a,b)),' = =>'('+'(a,' = =>'(a,b)),c)) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
    file('/export/starexec/sandbox/tmp/tmp.moPnvSRSwi/E---3.1_30321.p',goals_09) ).

cnf(c_0_8,axiom,
    ' = =>'('+'(X1,X2),X3) = ' = =>'(X1,' = =>'(X2,X3)),
    sos_07 ).

cnf(c_0_9,axiom,
    '+'(X1,X2) = '+'(X2,X1),
    sos_02 ).

cnf(c_0_10,plain,
    ' = =>'(X1,' = =>'(X2,X3)) = ' = =>'(X2,' = =>'(X1,X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_8]) ).

cnf(c_0_11,axiom,
    ' = =>'(X1,X1) = '0',
    sos_04 ).

cnf(c_0_12,axiom,
    ' = =>'(X1,'0') = '0',
    sos_05 ).

cnf(c_0_13,axiom,
    '+'(X1,' = =>'(X1,X2)) = '+'(X2,' = =>'(X2,X1)),
    sos_08 ).

cnf(c_0_14,axiom,
    '+'('+'(X1,X2),X3) = '+'(X1,'+'(X2,X3)),
    sos_01 ).

cnf(c_0_15,plain,
    ' = =>'(X1,' = =>'(X2,X1)) = '0',
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_12]) ).

cnf(c_0_16,plain,
    '+'(X1,'+'(X2,' = =>'(X1,' = =>'(X2,X3)))) = '+'(X3,' = =>'(X3,'+'(X1,X2))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_8]) ).

cnf(c_0_17,plain,
    ' = =>'(X1,' = =>'(X2,' = =>'(X3,X1))) = '0',
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_15]),c_0_12]) ).

cnf(c_0_18,plain,
    ' = =>'(X1,' = =>'(X2,' = =>'(' = =>'(X1,' = =>'(X2,X3)),X4))) = ' = =>'(X3,' = =>'(' = =>'(X3,'+'(X1,X2)),X4)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_16]),c_0_8]),c_0_8]) ).

cnf(c_0_19,plain,
    '+'(X1,' = =>'(X2,' = =>'(X1,X3))) = '+'(' = =>'(X2,X3),' = =>'(' = =>'(X2,X3),X1)),
    inference(spm,[status(thm)],[c_0_13,c_0_10]) ).

cnf(c_0_20,plain,
    ' = =>'(X1,' = =>'(' = =>'(X1,'+'(X2,X3)),X2)) = '0',
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,axiom,
    '+'(X1,'0') = X1,
    sos_03 ).

cnf(c_0_22,plain,
    ' = =>'(X1,' = =>'(X2,'+'(X1,X2))) = '0',
    inference(spm,[status(thm)],[c_0_11,c_0_8]) ).

cnf(c_0_23,plain,
    '+'(' = =>'(X1,X2),' = =>'(X1,' = =>'(' = =>'(X1,X2),'+'(X2,X3)))) = ' = =>'(X1,'+'(X2,X3)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_10]) ).

cnf(c_0_24,plain,
    ' = =>'(X1,' = =>'(' = =>'(X1,X2),'+'(X2,' = =>'(X2,X1)))) = '0',
    inference(spm,[status(thm)],[c_0_22,c_0_13]) ).

cnf(c_0_25,plain,
    ' = =>'(X1,'+'(X2,' = =>'(X2,X1))) = ' = =>'(X1,X2),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_21]) ).

cnf(c_0_26,plain,
    ' = =>'(X1,'+'(X1,' = =>'(X1,X2))) = ' = =>'(X1,X2),
    inference(spm,[status(thm)],[c_0_25,c_0_13]) ).

cnf(c_0_27,plain,
    ' = =>'(X1,' = =>'(' = =>'(X1,X2),X3)) = ' = =>'(X2,' = =>'(' = =>'(X2,X1),X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_13]),c_0_8]) ).

cnf(c_0_28,plain,
    ' = =>'(X1,' = =>'(X2,'+'(X1,' = =>'(X1,X3)))) = ' = =>'(X2,' = =>'(X1,X3)),
    inference(spm,[status(thm)],[c_0_10,c_0_26]) ).

cnf(c_0_29,plain,
    '+'(X1,'+'(' = =>'(X1,X2),X3)) = '+'(X2,'+'(' = =>'(X2,X1),X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_13]),c_0_14]) ).

cnf(c_0_30,plain,
    ' = =>'(X1,' = =>'(' = =>'(X1,X2),'+'(X2,' = =>'(X2,X3)))) = ' = =>'(X2,' = =>'(' = =>'(X2,X1),X3)),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_10]) ).

cnf(c_0_31,negated_conjecture,
    '+'('+'(a,' = =>'(a,b)),' = =>'('+'(a,' = =>'(a,b)),c)) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
    goals_09 ).

cnf(c_0_32,plain,
    '+'(X1,'+'(' = =>'(X1,X2),' = =>'(X2,' = =>'(' = =>'(X2,X1),X3)))) = '+'(X3,' = =>'(X3,'+'(X2,' = =>'(X2,X1)))),
    inference(spm,[status(thm)],[c_0_16,c_0_29]) ).

cnf(c_0_33,plain,
    '+'(' = =>'(X1,X2),' = =>'(X2,' = =>'(' = =>'(X2,X1),X3))) = ' = =>'(X1,'+'(X2,' = =>'(X2,X3))),
    inference(spm,[status(thm)],[c_0_23,c_0_30]) ).

cnf(c_0_34,negated_conjecture,
    '+'(c,' = =>'(c,'+'(a,' = =>'(a,b)))) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
    inference(rw,[status(thm)],[c_0_31,c_0_13]) ).

cnf(c_0_35,plain,
    '+'(X1,' = =>'(X1,'+'(X2,' = =>'(X2,X3)))) = '+'(X3,' = =>'(X3,'+'(X2,' = =>'(X2,X1)))),
    inference(rw,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_36,plain,
    '+'(X1,'+'(' = =>'(X1,X2),' = =>'(X2,' = =>'(' = =>'(X2,X1),X3)))) = '+'(X3,' = =>'(X3,'+'(X1,' = =>'(X1,X2)))),
    inference(spm,[status(thm)],[c_0_16,c_0_27]) ).

cnf(c_0_37,negated_conjecture,
    '+'(b,' = =>'(b,'+'(a,' = =>'(a,c)))) != '+'(a,' = =>'(a,'+'(b,' = =>'(b,c)))),
    inference(rw,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,plain,
    '+'(X1,' = =>'(X1,'+'(X2,' = =>'(X2,X3)))) = '+'(X3,' = =>'(X3,'+'(X1,' = =>'(X1,X2)))),
    inference(rw,[status(thm)],[c_0_36,c_0_33]) ).

cnf(c_0_39,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38]),c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10  % Problem    : LCL897-10 : TPTP v8.1.2. Released v8.1.0.
% 0.08/0.11  % Command    : run_E %s %d THM
% 0.11/0.31  % Computer : n032.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   : 2400
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Mon Oct  2 13:03:19 EDT 2023
% 0.11/0.31  % CPUTime    : 
% 0.15/0.42  Running first-order theorem proving
% 0.15/0.42  Running: /export/starexec/sandbox/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/sandbox/tmp/tmp.moPnvSRSwi/E---3.1_30321.p
% 380.39/49.43  # Version: 3.1pre001
% 380.39/49.43  # Preprocessing class: FSSSSMSSSSSNFFN.
% 380.39/49.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 380.39/49.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 380.39/49.43  # Starting new_bool_3 with 300s (1) cores
% 380.39/49.43  # Starting new_bool_1 with 300s (1) cores
% 380.39/49.43  # Starting sh5l with 300s (1) cores
% 380.39/49.43  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 30413 completed with status 0
% 380.39/49.43  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 380.39/49.43  # Preprocessing class: FSSSSMSSSSSNFFN.
% 380.39/49.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 380.39/49.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 380.39/49.43  # No SInE strategy applied
% 380.39/49.43  # Search class: FUUPM-FFSF22-MFFFFFNN
% 380.39/49.43  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 380.39/49.43  # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 406s (1) cores
% 380.39/49.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 380.39/49.43  # Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 380.39/49.43  # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 380.39/49.43  # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 136s (1) cores
% 380.39/49.43  # G-E--_300_C01_F1_SE_CS_SP_S0Y with pid 30424 completed with status 0
% 380.39/49.43  # Result found by G-E--_300_C01_F1_SE_CS_SP_S0Y
% 380.39/49.43  # Preprocessing class: FSSSSMSSSSSNFFN.
% 380.39/49.43  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 380.39/49.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 380.39/49.43  # No SInE strategy applied
% 380.39/49.43  # Search class: FUUPM-FFSF22-MFFFFFNN
% 380.39/49.43  # Scheduled 9 strats onto 5 cores with 1500 seconds (1500 total)
% 380.39/49.43  # Starting G-E--_107_C37_F1_PI_AE_Q4_CS_SP_PS_S0Y with 406s (1) cores
% 380.39/49.43  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 380.39/49.43  # Starting U----_206d_05_C11_08_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 380.39/49.43  # Starting U----_102_C09_12_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 380.39/49.43  # Starting G-E--_300_C01_F1_SE_CS_SP_S0Y with 136s (1) cores
% 380.39/49.43  # Preprocessing time       : 0.001 s
% 380.39/49.43  
% 380.39/49.43  # Proof found!
% 380.39/49.43  # SZS status Unsatisfiable
% 380.39/49.43  # SZS output start CNFRefutation
% See solution above
% 380.39/49.43  # Parsed axioms                        : 9
% 380.39/49.43  # Removed by relevancy pruning/SinE    : 0
% 380.39/49.43  # Initial clauses                      : 9
% 380.39/49.43  # Removed in clause preprocessing      : 0
% 380.39/49.43  # Initial clauses in saturation        : 9
% 380.39/49.43  # Processed clauses                    : 12587
% 380.39/49.43  # ...of these trivial                  : 7745
% 380.39/49.43  # ...subsumed                          : 3719
% 380.39/49.43  # ...remaining for further processing  : 1123
% 380.39/49.43  # Other redundant clauses eliminated   : 0
% 380.39/49.43  # Clauses deleted for lack of memory   : 0
% 380.39/49.43  # Backward-subsumed                    : 0
% 380.39/49.43  # Backward-rewritten                   : 111
% 380.39/49.43  # Generated clauses                    : 2010914
% 380.39/49.43  # ...of the previous two non-redundant : 1306487
% 380.39/49.43  # ...aggressively subsumed             : 0
% 380.39/49.43  # Contextual simplify-reflections      : 0
% 380.39/49.43  # Paramodulations                      : 2010914
% 380.39/49.43  # Factorizations                       : 0
% 380.39/49.43  # NegExts                              : 0
% 380.39/49.43  # Equation resolutions                 : 0
% 380.39/49.43  # Total rewrite steps                  : 3506174
% 380.39/49.43  # Propositional unsat checks           : 0
% 380.39/49.43  #    Propositional check models        : 0
% 380.39/49.43  #    Propositional check unsatisfiable : 0
% 380.39/49.43  #    Propositional clauses             : 0
% 380.39/49.43  #    Propositional clauses after purity: 0
% 380.39/49.43  #    Propositional unsat core size     : 0
% 380.39/49.43  #    Propositional preprocessing time  : 0.000
% 380.39/49.43  #    Propositional encoding time       : 0.000
% 380.39/49.43  #    Propositional solver time         : 0.000
% 380.39/49.43  #    Success case prop preproc time    : 0.000
% 380.39/49.43  #    Success case prop encoding time   : 0.000
% 380.39/49.43  #    Success case prop solver time     : 0.000
% 380.39/49.43  # Current number of processed clauses  : 1012
% 380.39/49.43  #    Positive orientable unit clauses  : 917
% 380.39/49.43  #    Positive unorientable unit clauses: 95
% 380.39/49.43  #    Negative unit clauses             : 0
% 380.39/49.43  #    Non-unit-clauses                  : 0
% 380.39/49.43  # Current number of unprocessed clauses: 1293557
% 380.39/49.43  # ...number of literals in the above   : 1293557
% 380.39/49.43  # Current number of archived formulas  : 0
% 380.39/49.43  # Current number of archived clauses   : 111
% 380.39/49.43  # Clause-clause subsumption calls (NU) : 0
% 380.39/49.43  # Rec. Clause-clause subsumption calls : 0
% 380.39/49.43  # Non-unit clause-clause subsumptions  : 0
% 380.39/49.43  # Unit Clause-clause subsumption calls : 1916
% 380.39/49.43  # Rewrite failures with RHS unbound    : 0
% 380.39/49.43  # BW rewrite match attempts            : 222581
% 380.39/49.43  # BW rewrite match successes           : 5487
% 380.39/49.43  # Condensation attempts                : 0
% 380.39/49.43  # Condensation successes               : 0
% 380.39/49.43  # Termbank termtop insertions          : 34915015
% 380.39/49.43  
% 380.39/49.43  # -------------------------------------------------
% 380.39/49.43  # User time                : 44.506 s
% 380.39/49.43  # System time              : 1.398 s
% 380.39/49.43  # Total time               : 45.904 s
% 380.39/49.43  # Maximum resident set size: 1516 pages
% 380.39/49.43  
% 380.39/49.43  # -------------------------------------------------
% 380.39/49.43  # User time                : 229.798 s
% 380.39/49.43  # System time              : 7.233 s
% 380.39/49.43  # Total time               : 237.031 s
% 380.39/49.43  # Maximum resident set size: 1672 pages
% 380.39/49.43  % E---3.1 exiting
% 380.39/49.43  % E---3.1 exiting
%------------------------------------------------------------------------------