TSTP Solution File: COL034-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : COL034-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 07:28:40 EDT 2024

% Result   : Unsatisfiable 5.28s 1.18s
% Output   : CNFRefutation 5.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of clauses     :   15 (  15 unt;   0 nHn;   8 RR)
%            Number of literals    :   15 (  14 equ;   7 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   26 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(prove_fixed_point,negated_conjecture,
    apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
    file('/export/starexec/sandbox2/tmp/tmp.qPkALOyOOj/E---3.1_13128.p',prove_fixed_point) ).

cnf(b_definition,axiom,
    apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
    file('/export/starexec/sandbox2/tmp/tmp.qPkALOyOOj/E---3.1_13128.p',b_definition) ).

cnf(t_definition,axiom,
    apply(apply(t,X1),X2) = apply(X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.qPkALOyOOj/E---3.1_13128.p',t_definition) ).

cnf(m_definition,axiom,
    apply(m,X1) = apply(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.qPkALOyOOj/E---3.1_13128.p',m_definition) ).

cnf(c_0_4,negated_conjecture,
    apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
    inference(fof_simplification,[status(thm)],[prove_fixed_point]) ).

cnf(c_0_5,negated_conjecture,
    apply(X1,f(X1)) != apply(f(X1),apply(X1,f(X1))),
    c_0_4 ).

cnf(c_0_6,axiom,
    apply(apply(apply(b,X1),X2),X3) = apply(X1,apply(X2,X3)),
    b_definition ).

cnf(c_0_7,negated_conjecture,
    apply(f(apply(apply(b,X1),X2)),apply(X1,apply(X2,f(apply(apply(b,X1),X2))))) != apply(X1,apply(X2,f(apply(apply(b,X1),X2)))),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,negated_conjecture,
    apply(f(apply(apply(b,X1),apply(apply(b,X2),X3))),apply(X1,apply(X2,apply(X3,f(apply(apply(b,X1),apply(apply(b,X2),X3))))))) != apply(X1,apply(X2,apply(X3,f(apply(apply(b,X1),apply(apply(b,X2),X3)))))),
    inference(spm,[status(thm)],[c_0_7,c_0_6]) ).

cnf(c_0_9,axiom,
    apply(apply(t,X1),X2) = apply(X2,X1),
    t_definition ).

cnf(c_0_10,axiom,
    apply(m,X1) = apply(X1,X1),
    m_definition ).

cnf(c_0_11,negated_conjecture,
    apply(f(apply(apply(b,X1),apply(apply(b,apply(t,X2)),X3))),apply(X1,apply(apply(X3,f(apply(apply(b,X1),apply(apply(b,apply(t,X2)),X3)))),X2))) != apply(X1,apply(apply(X3,f(apply(apply(b,X1),apply(apply(b,apply(t,X2)),X3)))),X2)),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,plain,
    apply(X1,apply(X2,apply(apply(b,X1),X2))) = apply(m,apply(apply(b,X1),X2)),
    inference(spm,[status(thm)],[c_0_10,c_0_6]) ).

cnf(c_0_13,negated_conjecture,
    apply(m,apply(apply(b,f(apply(apply(b,X1),apply(apply(b,apply(t,X1)),b)))),X1)) != apply(X1,apply(apply(b,f(apply(apply(b,X1),apply(apply(b,apply(t,X1)),b)))),X1)),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(er,[status(thm)],[c_0_13]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : COL034-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n027.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Fri May  3 12:04:21 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order model finding
% 0.20/0.49  Running: /export/starexec/sandbox2/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/sandbox2/tmp/tmp.qPkALOyOOj/E---3.1_13128.p
% 5.28/1.18  # Version: 3.1.0
% 5.28/1.18  # Preprocessing class: FSSSSMSSSSSNFFN.
% 5.28/1.18  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.28/1.18  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 5.28/1.18  # Starting new_bool_3 with 300s (1) cores
% 5.28/1.18  # Starting new_bool_1 with 300s (1) cores
% 5.28/1.18  # Starting sh5l with 300s (1) cores
% 5.28/1.18  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 13206 completed with status 0
% 5.28/1.18  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 5.28/1.18  # Preprocessing class: FSSSSMSSSSSNFFN.
% 5.28/1.18  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.28/1.18  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 5.28/1.18  # No SInE strategy applied
% 5.28/1.18  # Search class: FUUPS-FFSF21-MFFFFFNN
% 5.28/1.18  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 5.28/1.18  # Starting U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 5.28/1.18  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 5.28/1.18  # Starting U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 5.28/1.18  # Starting U----_206d_05_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 5.28/1.18  # Starting U----_206d_02_B11_00_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 5.28/1.18  # U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 13214 completed with status 0
% 5.28/1.18  # Result found by U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 5.28/1.18  # Preprocessing class: FSSSSMSSSSSNFFN.
% 5.28/1.18  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.28/1.18  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 5.28/1.18  # No SInE strategy applied
% 5.28/1.18  # Search class: FUUPS-FFSF21-MFFFFFNN
% 5.28/1.18  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 5.28/1.18  # Starting U----_116XG_C05_02_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 811s (1) cores
% 5.28/1.18  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 5.28/1.18  # Starting U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 5.28/1.18  # Preprocessing time       : 0.001 s
% 5.28/1.18  # Presaturation interreduction done
% 5.28/1.18  
% 5.28/1.18  # Proof found!
% 5.28/1.18  # SZS status Unsatisfiable
% 5.28/1.18  # SZS output start CNFRefutation
% See solution above
% 5.28/1.18  # Parsed axioms                        : 4
% 5.28/1.18  # Removed by relevancy pruning/SinE    : 0
% 5.28/1.18  # Initial clauses                      : 4
% 5.28/1.18  # Removed in clause preprocessing      : 0
% 5.28/1.18  # Initial clauses in saturation        : 4
% 5.28/1.18  # Processed clauses                    : 1948
% 5.28/1.18  # ...of these trivial                  : 7
% 5.28/1.18  # ...subsumed                          : 1308
% 5.28/1.18  # ...remaining for further processing  : 633
% 5.28/1.18  # Other redundant clauses eliminated   : 0
% 5.28/1.18  # Clauses deleted for lack of memory   : 0
% 5.28/1.18  # Backward-subsumed                    : 5
% 5.28/1.18  # Backward-rewritten                   : 28
% 5.28/1.18  # Generated clauses                    : 24023
% 5.28/1.18  # ...of the previous two non-redundant : 23937
% 5.28/1.18  # ...aggressively subsumed             : 0
% 5.28/1.18  # Contextual simplify-reflections      : 0
% 5.28/1.18  # Paramodulations                      : 24022
% 5.28/1.18  # Factorizations                       : 0
% 5.28/1.18  # NegExts                              : 0
% 5.28/1.18  # Equation resolutions                 : 1
% 5.28/1.18  # Disequality decompositions           : 0
% 5.28/1.18  # Total rewrite steps                  : 63841
% 5.28/1.18  # ...of those cached                   : 58538
% 5.28/1.18  # Propositional unsat checks           : 0
% 5.28/1.18  #    Propositional check models        : 0
% 5.28/1.18  #    Propositional check unsatisfiable : 0
% 5.28/1.18  #    Propositional clauses             : 0
% 5.28/1.18  #    Propositional clauses after purity: 0
% 5.28/1.18  #    Propositional unsat core size     : 0
% 5.28/1.18  #    Propositional preprocessing time  : 0.000
% 5.28/1.18  #    Propositional encoding time       : 0.000
% 5.28/1.18  #    Propositional solver time         : 0.000
% 5.28/1.18  #    Success case prop preproc time    : 0.000
% 5.28/1.18  #    Success case prop encoding time   : 0.000
% 5.28/1.18  #    Success case prop solver time     : 0.000
% 5.28/1.18  # Current number of processed clauses  : 596
% 5.28/1.18  #    Positive orientable unit clauses  : 32
% 5.28/1.18  #    Positive unorientable unit clauses: 9
% 5.28/1.18  #    Negative unit clauses             : 555
% 5.28/1.18  #    Non-unit-clauses                  : 0
% 5.28/1.18  # Current number of unprocessed clauses: 21890
% 5.28/1.18  # ...number of literals in the above   : 21890
% 5.28/1.18  # Current number of archived formulas  : 0
% 5.28/1.18  # Current number of archived clauses   : 37
% 5.28/1.18  # Clause-clause subsumption calls (NU) : 0
% 5.28/1.18  # Rec. Clause-clause subsumption calls : 0
% 5.28/1.18  # Non-unit clause-clause subsumptions  : 0
% 5.28/1.18  # Unit Clause-clause subsumption calls : 61033
% 5.28/1.18  # Rewrite failures with RHS unbound    : 0
% 5.28/1.18  # BW rewrite match attempts            : 2880
% 5.28/1.18  # BW rewrite match successes           : 53
% 5.28/1.18  # Condensation attempts                : 0
% 5.28/1.18  # Condensation successes               : 0
% 5.28/1.18  # Termbank termtop insertions          : 1491056
% 5.28/1.18  # Search garbage collected termcells   : 2
% 5.28/1.18  
% 5.28/1.18  # -------------------------------------------------
% 5.28/1.18  # User time                : 0.621 s
% 5.28/1.18  # System time              : 0.030 s
% 5.28/1.18  # Total time               : 0.651 s
% 5.28/1.18  # Maximum resident set size: 1548 pages
% 5.28/1.18  
% 5.28/1.18  # -------------------------------------------------
% 5.28/1.18  # User time                : 3.166 s
% 5.28/1.18  # System time              : 0.134 s
% 5.28/1.18  # Total time               : 3.300 s
% 5.28/1.18  # Maximum resident set size: 1688 pages
% 5.28/1.18  % E---3.1 exiting
%------------------------------------------------------------------------------