TSTP Solution File: SYN656-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN656-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.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 20:33:20 EDT 2023

% Result   : Unsatisfiable 0.15s 0.42s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   35 (  14 unt;   4 nHn;  23 RR)
%            Number of literals    :   72 (   0 equ;  36 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   7 con; 0-2 aty)
%            Number of variables   :   67 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p25_35,negated_conjecture,
    ( p25(X1,X2)
    | ~ p3(X3,X2)
    | ~ p4(X4,X1)
    | ~ p25(X4,X3) ),
    file('/export/starexec/sandbox/tmp/tmp.Aefuf3rptP/E---3.1_17550.p',p25_35) ).

cnf(p3_6,negated_conjecture,
    p3(X1,X1),
    file('/export/starexec/sandbox/tmp/tmp.Aefuf3rptP/E---3.1_17550.p',p3_6) ).

cnf(p4_44,negated_conjecture,
    ( p4(f5(X1,X2),f5(X3,X4))
    | ~ p2(X1,X3)
    | ~ p3(X2,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.Aefuf3rptP/E---3.1_17550.p',p4_44) ).

cnf(p25_31,negated_conjecture,
    p25(f5(c29,f13(c31,f15(c32,X1))),f13(c31,X1)),
    file('/export/starexec/sandbox/tmp/tmp.Aefuf3rptP/E---3.1_17550.p',p25_31) ).

cnf(p25_46,negated_conjecture,
    ( p25(f5(f7(c28,X1),X2),X3)
    | ~ p25(f5(X1,X2),X4)
    | ~ p25(f5(f7(c28,X1),X4),X3) ),
    file('/export/starexec/sandbox/tmp/tmp.Aefuf3rptP/E---3.1_17550.p',p25_46) ).

cnf(p3_49,negated_conjecture,
    ( p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X1)))
    | p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X1))),f13(c31,c34)) ),
    file('/export/starexec/sandbox/tmp/tmp.Aefuf3rptP/E---3.1_17550.p',p3_49) ).

cnf(p2_9,negated_conjecture,
    p2(X1,X1),
    file('/export/starexec/sandbox/tmp/tmp.Aefuf3rptP/E---3.1_17550.p',p2_9) ).

cnf(p3_22,negated_conjecture,
    ( p3(X1,X2)
    | ~ p3(X3,X1)
    | ~ p3(X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.Aefuf3rptP/E---3.1_17550.p',p3_22) ).

cnf(not_p25_45,negated_conjecture,
    ~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
    file('/export/starexec/sandbox/tmp/tmp.Aefuf3rptP/E---3.1_17550.p',not_p25_45) ).

cnf(p25_32,negated_conjecture,
    ( p25(f5(f7(c28,X1),X2),X3)
    | ~ p25(f5(X1,X2),X3) ),
    file('/export/starexec/sandbox/tmp/tmp.Aefuf3rptP/E---3.1_17550.p',p25_32) ).

cnf(p4_5,negated_conjecture,
    p4(X1,X1),
    file('/export/starexec/sandbox/tmp/tmp.Aefuf3rptP/E---3.1_17550.p',p4_5) ).

cnf(c_0_11,negated_conjecture,
    ( p25(X1,X2)
    | ~ p3(X3,X2)
    | ~ p4(X4,X1)
    | ~ p25(X4,X3) ),
    p25_35 ).

cnf(c_0_12,negated_conjecture,
    p3(X1,X1),
    p3_6 ).

cnf(c_0_13,negated_conjecture,
    ( p25(X1,X2)
    | ~ p25(X3,X2)
    | ~ p4(X3,X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_14,negated_conjecture,
    ( p4(f5(X1,X2),f5(X3,X4))
    | ~ p2(X1,X3)
    | ~ p3(X2,X4) ),
    p4_44 ).

cnf(c_0_15,negated_conjecture,
    ( p25(f5(X1,X2),X3)
    | ~ p25(f5(X4,X5),X3)
    | ~ p2(X4,X1)
    | ~ p3(X5,X2) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_16,negated_conjecture,
    p25(f5(c29,f13(c31,f15(c32,X1))),f13(c31,X1)),
    p25_31 ).

cnf(c_0_17,negated_conjecture,
    ( p25(f5(f7(c28,X1),X2),X3)
    | ~ p25(f5(X1,X2),X4)
    | ~ p25(f5(f7(c28,X1),X4),X3) ),
    p25_46 ).

cnf(c_0_18,negated_conjecture,
    ( p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X1)))
    | p25(f5(f7(c28,c29),f13(c31,f15(f17(c33,c34),X1))),f13(c31,c34)) ),
    p3_49 ).

cnf(c_0_19,negated_conjecture,
    ( p25(f5(X1,X2),f13(c31,X3))
    | ~ p2(c29,X1)
    | ~ p3(f13(c31,f15(c32,X3)),X2) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    ( p25(f5(f7(c28,c29),X1),f13(c31,c34))
    | p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X2)))
    | ~ p25(f5(c29,X1),f13(c31,f15(f17(c33,c34),X2))) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_21,negated_conjecture,
    ( p25(f5(X1,f13(c31,f15(c32,X2))),f13(c31,X2))
    | ~ p2(c29,X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_12]) ).

cnf(c_0_22,negated_conjecture,
    p2(X1,X1),
    p2_9 ).

cnf(c_0_23,negated_conjecture,
    ( p3(X1,X2)
    | ~ p3(X3,X1)
    | ~ p3(X3,X2) ),
    p3_22 ).

cnf(c_0_24,negated_conjecture,
    ~ p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
    not_p25_45 ).

cnf(c_0_25,negated_conjecture,
    ( p25(f5(f7(c28,c29),f13(c31,f15(c32,f15(f17(c33,c34),X1)))),f13(c31,c34))
    | p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),X1))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22])]) ).

cnf(c_0_26,negated_conjecture,
    ( p3(X1,X2)
    | ~ p3(X2,X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_12]) ).

cnf(c_0_27,negated_conjecture,
    p3(f13(c31,c34),f13(c31,f15(f17(c33,c34),c35))),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_28,negated_conjecture,
    p3(f13(c31,f15(f17(c33,c34),c35)),f13(c31,c34)),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_29,negated_conjecture,
    ( p25(X1,f13(c31,c34))
    | ~ p25(X2,f13(c31,f15(f17(c33,c34),c35)))
    | ~ p4(X2,X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_28]) ).

cnf(c_0_30,negated_conjecture,
    ( p25(f5(f7(c28,X1),X2),X3)
    | ~ p25(f5(X1,X2),X3) ),
    p25_32 ).

cnf(c_0_31,negated_conjecture,
    ( p25(X1,f13(c31,c34))
    | ~ p4(f5(c29,f13(c31,f15(c32,f15(f17(c33,c34),c35)))),X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_16]) ).

cnf(c_0_32,negated_conjecture,
    p4(X1,X1),
    p4_5 ).

cnf(c_0_33,negated_conjecture,
    ~ p25(f5(c29,f13(c31,f15(c32,f15(f17(c33,c34),c35)))),f13(c31,c34)),
    inference(spm,[status(thm)],[c_0_24,c_0_30]) ).

cnf(c_0_34,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.09  % Problem    : SYN656-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n008.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 2400
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Mon Oct  2 18:09:13 EDT 2023
% 0.10/0.30  % CPUTime    : 
% 0.15/0.41  Running first-order model finding
% 0.15/0.41  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.Aefuf3rptP/E---3.1_17550.p
% 0.15/0.42  # Version: 3.1pre001
% 0.15/0.42  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42  # Starting sh5l with 300s (1) cores
% 0.15/0.42  # new_bool_1 with pid 17629 completed with status 0
% 0.15/0.42  # Result found by new_bool_1
% 0.15/0.42  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42  # Search class: FGUNM-FFMF22-MFFFFFNN
% 0.15/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.15/0.42  # SAT001_MinMin_p005000_rr_RG with pid 17634 completed with status 0
% 0.15/0.42  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.15/0.42  # Preprocessing class: FSMSSMSMSSSNFFN.
% 0.15/0.42  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.42  # Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S2SI with 1500s (5) cores
% 0.15/0.42  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.42  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.42  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.15/0.42  # Search class: FGUNM-FFMF22-MFFFFFNN
% 0.15/0.42  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.15/0.42  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.15/0.42  # Preprocessing time       : 0.001 s
% 0.15/0.42  # Presaturation interreduction done
% 0.15/0.42  
% 0.15/0.42  # Proof found!
% 0.15/0.42  # SZS status Unsatisfiable
% 0.15/0.42  # SZS output start CNFRefutation
% See solution above
% 0.15/0.42  # Parsed axioms                        : 49
% 0.15/0.42  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.42  # Initial clauses                      : 49
% 0.15/0.42  # Removed in clause preprocessing      : 0
% 0.15/0.42  # Initial clauses in saturation        : 49
% 0.15/0.42  # Processed clauses                    : 145
% 0.15/0.42  # ...of these trivial                  : 0
% 0.15/0.42  # ...subsumed                          : 2
% 0.15/0.42  # ...remaining for further processing  : 143
% 0.15/0.42  # Other redundant clauses eliminated   : 0
% 0.15/0.42  # Clauses deleted for lack of memory   : 0
% 0.15/0.42  # Backward-subsumed                    : 1
% 0.15/0.42  # Backward-rewritten                   : 0
% 0.15/0.42  # Generated clauses                    : 147
% 0.15/0.42  # ...of the previous two non-redundant : 123
% 0.15/0.42  # ...aggressively subsumed             : 0
% 0.15/0.42  # Contextual simplify-reflections      : 0
% 0.15/0.42  # Paramodulations                      : 147
% 0.15/0.42  # Factorizations                       : 0
% 0.15/0.42  # NegExts                              : 0
% 0.15/0.42  # Equation resolutions                 : 0
% 0.15/0.42  # Total rewrite steps                  : 22
% 0.15/0.42  # Propositional unsat checks           : 0
% 0.15/0.42  #    Propositional check models        : 0
% 0.15/0.42  #    Propositional check unsatisfiable : 0
% 0.15/0.42  #    Propositional clauses             : 0
% 0.15/0.42  #    Propositional clauses after purity: 0
% 0.15/0.42  #    Propositional unsat core size     : 0
% 0.15/0.42  #    Propositional preprocessing time  : 0.000
% 0.15/0.42  #    Propositional encoding time       : 0.000
% 0.15/0.42  #    Propositional solver time         : 0.000
% 0.15/0.42  #    Success case prop preproc time    : 0.000
% 0.15/0.42  #    Success case prop encoding time   : 0.000
% 0.15/0.42  #    Success case prop solver time     : 0.000
% 0.15/0.42  # Current number of processed clauses  : 94
% 0.15/0.42  #    Positive orientable unit clauses  : 18
% 0.15/0.42  #    Positive unorientable unit clauses: 0
% 0.15/0.42  #    Negative unit clauses             : 4
% 0.15/0.42  #    Non-unit-clauses                  : 72
% 0.15/0.42  # Current number of unprocessed clauses: 75
% 0.15/0.42  # ...number of literals in the above   : 279
% 0.15/0.42  # Current number of archived formulas  : 0
% 0.15/0.42  # Current number of archived clauses   : 49
% 0.15/0.42  # Clause-clause subsumption calls (NU) : 1726
% 0.15/0.42  # Rec. Clause-clause subsumption calls : 1524
% 0.15/0.42  # Non-unit clause-clause subsumptions  : 3
% 0.15/0.42  # Unit Clause-clause subsumption calls : 17
% 0.15/0.42  # Rewrite failures with RHS unbound    : 0
% 0.15/0.42  # BW rewrite match attempts            : 2
% 0.15/0.42  # BW rewrite match successes           : 0
% 0.15/0.42  # Condensation attempts                : 0
% 0.15/0.42  # Condensation successes               : 0
% 0.15/0.42  # Termbank termtop insertions          : 4046
% 0.15/0.42  
% 0.15/0.42  # -------------------------------------------------
% 0.15/0.42  # User time                : 0.008 s
% 0.15/0.42  # System time              : 0.003 s
% 0.15/0.42  # Total time               : 0.011 s
% 0.15/0.42  # Maximum resident set size: 1844 pages
% 0.15/0.42  
% 0.15/0.42  # -------------------------------------------------
% 0.15/0.42  # User time                : 0.008 s
% 0.15/0.42  # System time              : 0.006 s
% 0.15/0.42  # Total time               : 0.014 s
% 0.15/0.42  # Maximum resident set size: 1728 pages
% 0.15/0.42  % E---3.1 exiting
%------------------------------------------------------------------------------