TSTP Solution File: SYN706-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN706-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n024.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 20:33:27 EDT 2023

% Result   : Unsatisfiable 0.20s 0.53s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   23 (  11 unt;   0 nHn;  15 RR)
%            Number of literals    :   53 (   0 equ;  32 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :   20 (  20 usr;  10 con; 0-2 aty)
%            Number of variables   :   50 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p48_57,negated_conjecture,
    ( p48(X1,X2)
    | ~ p47(X3,X2)
    | ~ p48(X4,X3)
    | ~ p37(X4,X1) ),
    file('/export/starexec/sandbox/tmp/tmp.G8kQ47HNqV/E---3.1_15410.p',p48_57) ).

cnf(p37_67,negated_conjecture,
    ( p37(f38(X1,X2),f38(X3,X4))
    | ~ p36(X1,X3)
    | ~ p7(X2,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.G8kQ47HNqV/E---3.1_15410.p',p37_67) ).

cnf(p48_81,negated_conjecture,
    ( p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X1)),X2)),c60)
    | ~ p45(f20(c52,c50),X2)
    | ~ p46(f23(c53,X1),f5(c49,c50)) ),
    file('/export/starexec/sandbox/tmp/tmp.G8kQ47HNqV/E---3.1_15410.p',p48_81) ).

cnf(p7_59,negated_conjecture,
    p7(f8(f11(c54,f14(f17(c55,X1),f35(X2,X1))),X2),X2),
    file('/export/starexec/sandbox/tmp/tmp.G8kQ47HNqV/E---3.1_15410.p',p7_59) ).

cnf(p46_78,negated_conjecture,
    ( p46(f23(c53,f35(X1,X2)),f5(c49,X3))
    | ~ p45(f20(c52,X3),X1) ),
    file('/export/starexec/sandbox/tmp/tmp.G8kQ47HNqV/E---3.1_15410.p',p46_78) ).

cnf(p36_11,negated_conjecture,
    p36(X1,X1),
    file('/export/starexec/sandbox/tmp/tmp.G8kQ47HNqV/E---3.1_15410.p',p36_11) ).

cnf(not_p48_29,negated_conjecture,
    ~ p48(f38(f40(c59,c50),c58),c60),
    file('/export/starexec/sandbox/tmp/tmp.G8kQ47HNqV/E---3.1_15410.p',not_p48_29) ).

cnf(p45_27,negated_conjecture,
    p45(f20(c52,c50),c58),
    file('/export/starexec/sandbox/tmp/tmp.G8kQ47HNqV/E---3.1_15410.p',p45_27) ).

cnf(p47_5,negated_conjecture,
    p47(X1,X1),
    file('/export/starexec/sandbox/tmp/tmp.G8kQ47HNqV/E---3.1_15410.p',p47_5) ).

cnf(c_0_9,negated_conjecture,
    ( p48(X1,X2)
    | ~ p47(X3,X2)
    | ~ p48(X4,X3)
    | ~ p37(X4,X1) ),
    p48_57 ).

cnf(c_0_10,negated_conjecture,
    ( p37(f38(X1,X2),f38(X3,X4))
    | ~ p36(X1,X3)
    | ~ p7(X2,X4) ),
    p37_67 ).

cnf(c_0_11,negated_conjecture,
    ( p48(f38(X1,X2),X3)
    | ~ p48(f38(X4,X5),X6)
    | ~ p36(X4,X1)
    | ~ p47(X6,X3)
    | ~ p7(X5,X2) ),
    inference(spm,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_12,negated_conjecture,
    ( p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),X1)),X2)),c60)
    | ~ p45(f20(c52,c50),X2)
    | ~ p46(f23(c53,X1),f5(c49,c50)) ),
    p48_81 ).

cnf(c_0_13,negated_conjecture,
    ( p48(f38(X1,X2),X3)
    | ~ p46(f23(c53,X4),f5(c49,c50))
    | ~ p45(f20(c52,c50),X5)
    | ~ p36(f40(c59,c50),X1)
    | ~ p47(c60,X3)
    | ~ p7(f8(f11(c54,f14(f17(c55,c61),X4)),X5),X2) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_14,negated_conjecture,
    p7(f8(f11(c54,f14(f17(c55,X1),f35(X2,X1))),X2),X2),
    p7_59 ).

cnf(c_0_15,negated_conjecture,
    ( p46(f23(c53,f35(X1,X2)),f5(c49,X3))
    | ~ p45(f20(c52,X3),X1) ),
    p46_78 ).

cnf(c_0_16,negated_conjecture,
    ( p48(f38(X1,X2),X3)
    | ~ p45(f20(c52,c50),X2)
    | ~ p36(f40(c59,c50),X1)
    | ~ p47(c60,X3) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).

cnf(c_0_17,negated_conjecture,
    p36(X1,X1),
    p36_11 ).

cnf(c_0_18,negated_conjecture,
    ~ p48(f38(f40(c59,c50),c58),c60),
    not_p48_29 ).

cnf(c_0_19,negated_conjecture,
    ( p48(f38(f40(c59,c50),X1),X2)
    | ~ p45(f20(c52,c50),X1)
    | ~ p47(c60,X2) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    p45(f20(c52,c50),c58),
    p45_27 ).

cnf(c_0_21,negated_conjecture,
    p47(X1,X1),
    p47_5 ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]),c_0_21])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN706-1 : TPTP v8.1.2. Released v2.5.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n024.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   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Oct  2 18:42:57 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  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.G8kQ47HNqV/E---3.1_15410.p
% 0.20/0.53  # Version: 3.1pre001
% 0.20/0.53  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.53  # Starting sh5l with 300s (1) cores
% 0.20/0.53  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 15580 completed with status 0
% 0.20/0.53  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.20/0.53  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.53  # No SInE strategy applied
% 0.20/0.53  # Search class: FHUNM-FFMF22-MFFFFFNN
% 0.20/0.53  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.53  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.20/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.20/0.53  # Starting new_bool_3 with 136s (1) cores
% 0.20/0.53  # Starting new_bool_1 with 136s (1) cores
% 0.20/0.53  # Starting sh5l with 136s (1) cores
% 0.20/0.53  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 15587 completed with status 0
% 0.20/0.53  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.20/0.53  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.20/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.20/0.53  # No SInE strategy applied
% 0.20/0.53  # Search class: FHUNM-FFMF22-MFFFFFNN
% 0.20/0.53  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.20/0.53  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.20/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.20/0.53  # Preprocessing time       : 0.002 s
% 0.20/0.53  # Presaturation interreduction done
% 0.20/0.53  
% 0.20/0.53  # Proof found!
% 0.20/0.53  # SZS status Unsatisfiable
% 0.20/0.53  # SZS output start CNFRefutation
% See solution above
% 0.20/0.53  # Parsed axioms                        : 81
% 0.20/0.53  # Removed by relevancy pruning/SinE    : 0
% 0.20/0.53  # Initial clauses                      : 81
% 0.20/0.53  # Removed in clause preprocessing      : 0
% 0.20/0.53  # Initial clauses in saturation        : 81
% 0.20/0.53  # Processed clauses                    : 520
% 0.20/0.53  # ...of these trivial                  : 0
% 0.20/0.53  # ...subsumed                          : 125
% 0.20/0.53  # ...remaining for further processing  : 395
% 0.20/0.53  # Other redundant clauses eliminated   : 0
% 0.20/0.53  # Clauses deleted for lack of memory   : 0
% 0.20/0.53  # Backward-subsumed                    : 0
% 0.20/0.53  # Backward-rewritten                   : 0
% 0.20/0.53  # Generated clauses                    : 772
% 0.20/0.53  # ...of the previous two non-redundant : 727
% 0.20/0.53  # ...aggressively subsumed             : 0
% 0.20/0.53  # Contextual simplify-reflections      : 1
% 0.20/0.53  # Paramodulations                      : 772
% 0.20/0.53  # Factorizations                       : 0
% 0.20/0.53  # NegExts                              : 0
% 0.20/0.53  # Equation resolutions                 : 0
% 0.20/0.53  # Total rewrite steps                  : 57
% 0.20/0.53  # Propositional unsat checks           : 0
% 0.20/0.53  #    Propositional check models        : 0
% 0.20/0.53  #    Propositional check unsatisfiable : 0
% 0.20/0.53  #    Propositional clauses             : 0
% 0.20/0.53  #    Propositional clauses after purity: 0
% 0.20/0.53  #    Propositional unsat core size     : 0
% 0.20/0.53  #    Propositional preprocessing time  : 0.000
% 0.20/0.53  #    Propositional encoding time       : 0.000
% 0.20/0.53  #    Propositional solver time         : 0.000
% 0.20/0.53  #    Success case prop preproc time    : 0.000
% 0.20/0.53  #    Success case prop encoding time   : 0.000
% 0.20/0.53  #    Success case prop solver time     : 0.000
% 0.20/0.53  # Current number of processed clauses  : 314
% 0.20/0.53  #    Positive orientable unit clauses  : 33
% 0.20/0.53  #    Positive unorientable unit clauses: 0
% 0.20/0.53  #    Negative unit clauses             : 2
% 0.20/0.53  #    Non-unit-clauses                  : 279
% 0.20/0.53  # Current number of unprocessed clauses: 369
% 0.20/0.53  # ...number of literals in the above   : 1623
% 0.20/0.53  # Current number of archived formulas  : 0
% 0.20/0.53  # Current number of archived clauses   : 81
% 0.20/0.53  # Clause-clause subsumption calls (NU) : 20470
% 0.20/0.53  # Rec. Clause-clause subsumption calls : 10355
% 0.20/0.53  # Non-unit clause-clause subsumptions  : 126
% 0.20/0.53  # Unit Clause-clause subsumption calls : 3
% 0.20/0.53  # Rewrite failures with RHS unbound    : 0
% 0.20/0.53  # BW rewrite match attempts            : 2
% 0.20/0.53  # BW rewrite match successes           : 0
% 0.20/0.53  # Condensation attempts                : 0
% 0.20/0.53  # Condensation successes               : 0
% 0.20/0.53  # Termbank termtop insertions          : 18077
% 0.20/0.53  
% 0.20/0.53  # -------------------------------------------------
% 0.20/0.53  # User time                : 0.032 s
% 0.20/0.53  # System time              : 0.004 s
% 0.20/0.53  # Total time               : 0.036 s
% 0.20/0.53  # Maximum resident set size: 1800 pages
% 0.20/0.53  
% 0.20/0.53  # -------------------------------------------------
% 0.20/0.53  # User time                : 0.148 s
% 0.20/0.53  # System time              : 0.011 s
% 0.20/0.53  # Total time               : 0.159 s
% 0.20/0.53  # Maximum resident set size: 1768 pages
% 0.20/0.53  % E---3.1 exiting
%------------------------------------------------------------------------------