TSTP Solution File: SYN712-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN712-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n020.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 20:33:28 EDT 2023

% Result   : Unsatisfiable 0.21s 0.53s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   27 (  13 unt;   0 nHn;  19 RR)
%            Number of literals    :   51 (   0 equ;  27 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   34 (  34 usr;  12 con; 0-2 aty)
%            Number of variables   :   69 (  16 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p62_69,negated_conjecture,
    ( p62(X1,X2)
    | ~ p4(X3,X1)
    | ~ p62(X3,X4)
    | ~ p32(X4,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.RI81N8UJvb/E---3.1_24899.p',p62_69) ).

cnf(p32_20,negated_conjecture,
    p32(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.RI81N8UJvb/E---3.1_24899.p',p32_20) ).

cnf(p4_82,negated_conjecture,
    ( p4(f5(X1,X2),f5(X3,X4))
    | ~ p2(X1,X3)
    | ~ p3(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.RI81N8UJvb/E---3.1_24899.p',p4_82) ).

cnf(p62_100,negated_conjecture,
    p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69),
    file('/export/starexec/sandbox2/tmp/tmp.RI81N8UJvb/E---3.1_24899.p',p62_100) ).

cnf(p3_104,negated_conjecture,
    p3(f16(f19(f21(c70,f8(f11(f13(c65,X1),X2),X3)),X4),X5),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X1),X2),X3),X4),X5)),f43(f45(f47(f49(f51(c75,X1),X2),X3),X4),X5)),f53(f55(f57(f59(f61(c76,X1),X2),X3),X4),X5))),
    file('/export/starexec/sandbox2/tmp/tmp.RI81N8UJvb/E---3.1_24899.p',p3_104) ).

cnf(p62_97,negated_conjecture,
    ( p62(X1,X2)
    | ~ p62(f5(c64,f8(f11(f13(c65,X1),X3),X4)),X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.RI81N8UJvb/E---3.1_24899.p',p62_97) ).

cnf(p2_28,negated_conjecture,
    p2(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.RI81N8UJvb/E---3.1_24899.p',p2_28) ).

cnf(not_p62_67,negated_conjecture,
    ~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69),
    file('/export/starexec/sandbox2/tmp/tmp.RI81N8UJvb/E---3.1_24899.p',not_p62_67) ).

cnf(p62_98,negated_conjecture,
    ( p62(f5(c64,f8(f11(f13(c65,X1),X2),X3)),X4)
    | ~ p62(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.RI81N8UJvb/E---3.1_24899.p',p62_98) ).

cnf(p62_99,negated_conjecture,
    ( p62(X1,X2)
    | ~ p62(f23(f25(f27(f29(f31(c74,X1),X3),X4),X5),X6),X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.RI81N8UJvb/E---3.1_24899.p',p62_99) ).

cnf(c_0_10,negated_conjecture,
    ( p62(X1,X2)
    | ~ p4(X3,X1)
    | ~ p62(X3,X4)
    | ~ p32(X4,X2) ),
    p62_69 ).

cnf(c_0_11,negated_conjecture,
    p32(X1,X1),
    p32_20 ).

cnf(c_0_12,negated_conjecture,
    ( p62(X1,X2)
    | ~ p62(X3,X2)
    | ~ p4(X3,X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_13,negated_conjecture,
    ( p4(f5(X1,X2),f5(X3,X4))
    | ~ p2(X1,X3)
    | ~ p3(X2,X4) ),
    p4_82 ).

cnf(c_0_14,negated_conjecture,
    ( p62(f5(X1,X2),X3)
    | ~ p62(f5(X4,X5),X3)
    | ~ p2(X4,X1)
    | ~ p3(X5,X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,negated_conjecture,
    p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69),
    p62_100 ).

cnf(c_0_16,negated_conjecture,
    ( p62(f5(X1,X2),c69)
    | ~ p2(c64,X1)
    | ~ p3(f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72),X2) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_17,negated_conjecture,
    p3(f16(f19(f21(c70,f8(f11(f13(c65,X1),X2),X3)),X4),X5),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X1),X2),X3),X4),X5)),f43(f45(f47(f49(f51(c75,X1),X2),X3),X4),X5)),f53(f55(f57(f59(f61(c76,X1),X2),X3),X4),X5))),
    p3_104 ).

cnf(c_0_18,negated_conjecture,
    ( p62(X1,X2)
    | ~ p62(f5(c64,f8(f11(f13(c65,X1),X3),X4)),X2) ),
    p62_97 ).

cnf(c_0_19,negated_conjecture,
    ( p62(f5(X1,f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72)),f43(f45(f47(f49(f51(c75,c66),c67),c68),c71),c72)),f53(f55(f57(f59(f61(c76,c66),c67),c68),c71),c72))),c69)
    | ~ p2(c64,X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_17]) ).

cnf(c_0_20,negated_conjecture,
    p2(X1,X1),
    p2_28 ).

cnf(c_0_21,negated_conjecture,
    ~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69),
    not_p62_67 ).

cnf(c_0_22,negated_conjecture,
    ( p62(f5(c64,f8(f11(f13(c65,X1),X2),X3)),X4)
    | ~ p62(X1,X4) ),
    p62_98 ).

cnf(c_0_23,negated_conjecture,
    ( p62(X1,X2)
    | ~ p62(f23(f25(f27(f29(f31(c74,X1),X3),X4),X5),X6),X2) ),
    p62_99 ).

cnf(c_0_24,negated_conjecture,
    p62(f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72),c69),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20])]) ).

cnf(c_0_25,negated_conjecture,
    ~ p62(c66,c69),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12  % Problem    : SYN712-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n020.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 2400
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon Oct  2 18:41:46 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order model finding
% 0.21/0.49  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.RI81N8UJvb/E---3.1_24899.p
% 0.21/0.53  # Version: 3.1pre001
% 0.21/0.53  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.53  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.53  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.53  # Starting sh5l with 300s (1) cores
% 0.21/0.53  # C07_19_nc_SOS_SAT001_MinMin_p005000_rr with pid 25002 completed with status 0
% 0.21/0.53  # Result found by C07_19_nc_SOS_SAT001_MinMin_p005000_rr
% 0.21/0.53  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.53  # No SInE strategy applied
% 0.21/0.53  # Search class: FHHNM-FFMF22-DFFFFFNN
% 0.21/0.53  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.53  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.21/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 151s (1) cores
% 0.21/0.53  # Starting new_bool_3 with 136s (1) cores
% 0.21/0.53  # Starting new_bool_1 with 136s (1) cores
% 0.21/0.53  # Starting sh5l with 136s (1) cores
% 0.21/0.53  # SAT001_MinMin_p005000_rr_RG with pid 25008 completed with status 0
% 0.21/0.53  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.53  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.53  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.53  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.53  # No SInE strategy applied
% 0.21/0.53  # Search class: FHHNM-FFMF22-DFFFFFNN
% 0.21/0.53  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.53  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 0.21/0.53  # Preprocessing time       : 0.003 s
% 0.21/0.53  # Presaturation interreduction done
% 0.21/0.53  
% 0.21/0.53  # Proof found!
% 0.21/0.53  # SZS status Unsatisfiable
% 0.21/0.53  # SZS output start CNFRefutation
% See solution above
% 0.21/0.53  # Parsed axioms                        : 104
% 0.21/0.53  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.53  # Initial clauses                      : 104
% 0.21/0.53  # Removed in clause preprocessing      : 0
% 0.21/0.53  # Initial clauses in saturation        : 104
% 0.21/0.53  # Processed clauses                    : 279
% 0.21/0.53  # ...of these trivial                  : 0
% 0.21/0.53  # ...subsumed                          : 1
% 0.21/0.53  # ...remaining for further processing  : 278
% 0.21/0.53  # Other redundant clauses eliminated   : 0
% 0.21/0.53  # Clauses deleted for lack of memory   : 0
% 0.21/0.53  # Backward-subsumed                    : 0
% 0.21/0.53  # Backward-rewritten                   : 0
% 0.21/0.53  # Generated clauses                    : 205
% 0.21/0.53  # ...of the previous two non-redundant : 168
% 0.21/0.53  # ...aggressively subsumed             : 0
% 0.21/0.53  # Contextual simplify-reflections      : 0
% 0.21/0.53  # Paramodulations                      : 205
% 0.21/0.53  # Factorizations                       : 0
% 0.21/0.53  # NegExts                              : 0
% 0.21/0.53  # Equation resolutions                 : 0
% 0.21/0.53  # Total rewrite steps                  : 34
% 0.21/0.53  # Propositional unsat checks           : 0
% 0.21/0.53  #    Propositional check models        : 0
% 0.21/0.53  #    Propositional check unsatisfiable : 0
% 0.21/0.53  #    Propositional clauses             : 0
% 0.21/0.53  #    Propositional clauses after purity: 0
% 0.21/0.53  #    Propositional unsat core size     : 0
% 0.21/0.53  #    Propositional preprocessing time  : 0.000
% 0.21/0.53  #    Propositional encoding time       : 0.000
% 0.21/0.53  #    Propositional solver time         : 0.000
% 0.21/0.53  #    Success case prop preproc time    : 0.000
% 0.21/0.53  #    Success case prop encoding time   : 0.000
% 0.21/0.53  #    Success case prop solver time     : 0.000
% 0.21/0.53  # Current number of processed clauses  : 174
% 0.21/0.53  #    Positive orientable unit clauses  : 36
% 0.21/0.53  #    Positive unorientable unit clauses: 0
% 0.21/0.53  #    Negative unit clauses             : 2
% 0.21/0.53  #    Non-unit-clauses                  : 136
% 0.21/0.53  # Current number of unprocessed clauses: 96
% 0.21/0.53  # ...number of literals in the above   : 350
% 0.21/0.53  # Current number of archived formulas  : 0
% 0.21/0.53  # Current number of archived clauses   : 104
% 0.21/0.53  # Clause-clause subsumption calls (NU) : 7973
% 0.21/0.53  # Rec. Clause-clause subsumption calls : 7154
% 0.21/0.53  # Non-unit clause-clause subsumptions  : 1
% 0.21/0.53  # Unit Clause-clause subsumption calls : 10
% 0.21/0.53  # Rewrite failures with RHS unbound    : 0
% 0.21/0.53  # BW rewrite match attempts            : 0
% 0.21/0.53  # BW rewrite match successes           : 0
% 0.21/0.53  # Condensation attempts                : 0
% 0.21/0.53  # Condensation successes               : 0
% 0.21/0.53  # Termbank termtop insertions          : 6544
% 0.21/0.53  
% 0.21/0.53  # -------------------------------------------------
% 0.21/0.53  # User time                : 0.016 s
% 0.21/0.53  # System time              : 0.009 s
% 0.21/0.53  # Total time               : 0.025 s
% 0.21/0.53  # Maximum resident set size: 1852 pages
% 0.21/0.53  
% 0.21/0.53  # -------------------------------------------------
% 0.21/0.53  # User time                : 0.091 s
% 0.21/0.53  # System time              : 0.028 s
% 0.21/0.53  # Total time               : 0.119 s
% 0.21/0.53  # Maximum resident set size: 1796 pages
% 0.21/0.53  % E---3.1 exiting
%------------------------------------------------------------------------------