TSTP Solution File: SYN591-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SYN591-1 : TPTP v8.2.0. Released v2.5.0.
% 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 : Tue May 21 08:00:39 EDT 2024

% Result   : Unsatisfiable 2.12s 0.75s
% Output   : CNFRefutation 2.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   47 (  16 unt;   8 nHn;  43 RR)
%            Number of literals    :  105 (   0 equ;  56 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-2 aty)
%            Number of variables   :   71 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_20,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X3,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_20) ).

cnf(p2_22,negated_conjecture,
    ( p2(f6(X1),f5(X1))
    | ~ p12(c14,f4(X1,c17)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_22) ).

cnf(p12_11,negated_conjecture,
    p12(c14,f4(c18,c17)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12_11) ).

cnf(p11_27,negated_conjecture,
    ( p11(c13,f4(c17,f5(X1)))
    | p11(c13,f4(f5(X1),c17))
    | ~ p12(c14,f4(X1,c17)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_27) ).

cnf(p2_4,negated_conjecture,
    p2(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).

cnf(p11_25,negated_conjecture,
    ( p11(X1,X2)
    | ~ p3(X3,X2)
    | ~ p7(X4,X1)
    | ~ p11(X4,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_25) ).

cnf(p2_17,negated_conjecture,
    ( p2(f5(X1),f5(X2))
    | ~ p2(X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_17) ).

cnf(p3_26,negated_conjecture,
    ( p3(f4(X1,X2),f4(X3,X4))
    | ~ p2(X1,X3)
    | ~ p2(X2,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3_26) ).

cnf(not_p11_13,negated_conjecture,
    ~ p11(c13,f4(f6(c18),c17)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_13) ).

cnf(p7_3,negated_conjecture,
    p7(X1,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7_3) ).

cnf(not_p11_12,negated_conjecture,
    ~ p11(c13,f4(c17,f6(c18))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p11_12) ).

cnf(c_0_11,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X3,X2) ),
    inference(fof_simplification,[status(thm)],[p2_20]) ).

cnf(c_0_12,negated_conjecture,
    ( p2(f6(X1),f5(X1))
    | ~ p12(c14,f4(X1,c17)) ),
    inference(fof_simplification,[status(thm)],[p2_22]) ).

cnf(c_0_13,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X3,X2) ),
    c_0_11 ).

cnf(c_0_14,negated_conjecture,
    ( p2(f6(X1),f5(X1))
    | ~ p12(c14,f4(X1,c17)) ),
    c_0_12 ).

cnf(c_0_15,negated_conjecture,
    ( p2(X1,f5(X2))
    | ~ p12(c14,f4(X2,c17))
    | ~ p2(f6(X2),X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_16,negated_conjecture,
    p12(c14,f4(c18,c17)),
    p12_11 ).

cnf(c_0_17,negated_conjecture,
    ( p11(c13,f4(c17,f5(X1)))
    | p11(c13,f4(f5(X1),c17))
    | ~ p12(c14,f4(X1,c17)) ),
    inference(fof_simplification,[status(thm)],[p11_27]) ).

cnf(c_0_18,negated_conjecture,
    p2(X1,X1),
    p2_4 ).

cnf(c_0_19,negated_conjecture,
    ( p2(X1,f5(c18))
    | ~ p2(f6(c18),X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    ( p11(X1,X2)
    | ~ p3(X3,X2)
    | ~ p7(X4,X1)
    | ~ p11(X4,X3) ),
    inference(fof_simplification,[status(thm)],[p11_25]) ).

cnf(c_0_21,negated_conjecture,
    ( p11(c13,f4(c17,f5(X1)))
    | p11(c13,f4(f5(X1),c17))
    | ~ p12(c14,f4(X1,c17)) ),
    c_0_17 ).

cnf(c_0_22,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X2,X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    p2(f6(c18),f5(c18)),
    inference(spm,[status(thm)],[c_0_19,c_0_18]) ).

cnf(c_0_24,negated_conjecture,
    ( p2(f5(X1),f5(X2))
    | ~ p2(X1,X2) ),
    inference(fof_simplification,[status(thm)],[p2_17]) ).

cnf(c_0_25,negated_conjecture,
    ( p11(X1,X2)
    | ~ p3(X3,X2)
    | ~ p7(X4,X1)
    | ~ p11(X4,X3) ),
    c_0_20 ).

cnf(c_0_26,negated_conjecture,
    ( p11(c13,f4(c17,f5(c18)))
    | p11(c13,f4(f5(c18),c17)) ),
    inference(spm,[status(thm)],[c_0_21,c_0_16]) ).

cnf(c_0_27,negated_conjecture,
    ( p3(f4(X1,X2),f4(X3,X4))
    | ~ p2(X1,X3)
    | ~ p2(X2,X4) ),
    inference(fof_simplification,[status(thm)],[p3_26]) ).

cnf(c_0_28,negated_conjecture,
    p2(f5(c18),f6(c18)),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_29,negated_conjecture,
    ( p2(f5(X1),f5(X2))
    | ~ p2(X1,X2) ),
    c_0_24 ).

cnf(c_0_30,negated_conjecture,
    ( p11(c13,f4(c17,f5(c18)))
    | p11(X1,X2)
    | ~ p3(f4(f5(c18),c17),X2)
    | ~ p7(c13,X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_31,negated_conjecture,
    ( p3(f4(X1,X2),f4(X3,X4))
    | ~ p2(X1,X3)
    | ~ p2(X2,X4) ),
    c_0_27 ).

cnf(c_0_32,negated_conjecture,
    ( p2(X1,f6(c18))
    | ~ p2(f5(c18),X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_28]) ).

cnf(c_0_33,negated_conjecture,
    ( p2(f5(X1),f5(X2))
    | ~ p2(X2,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_29]) ).

cnf(c_0_34,negated_conjecture,
    ( p11(c13,f4(c17,f5(c18)))
    | p11(X1,f4(X2,X3))
    | ~ p2(f5(c18),X2)
    | ~ p2(c17,X3)
    | ~ p7(c13,X1) ),
    inference(spm,[status(thm)],[c_0_30,c_0_31]) ).

cnf(c_0_35,negated_conjecture,
    ( p2(f5(X1),f6(c18))
    | ~ p2(X1,c18) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]) ).

cnf(c_0_36,negated_conjecture,
    ( p11(c13,f4(c17,f5(c18)))
    | p11(X1,f4(f6(c18),X2))
    | ~ p2(c17,X2)
    | ~ p7(c13,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_18])]) ).

cnf(c_0_37,negated_conjecture,
    ~ p11(c13,f4(f6(c18),c17)),
    inference(fof_simplification,[status(thm)],[not_p11_13]) ).

cnf(c_0_38,negated_conjecture,
    ( p11(c13,f4(c17,f5(c18)))
    | p11(X1,f4(f6(c18),c17))
    | ~ p7(c13,X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_18]) ).

cnf(c_0_39,negated_conjecture,
    p7(X1,X1),
    p7_3 ).

cnf(c_0_40,negated_conjecture,
    ~ p11(c13,f4(f6(c18),c17)),
    c_0_37 ).

cnf(c_0_41,negated_conjecture,
    p11(c13,f4(c17,f5(c18))),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).

cnf(c_0_42,negated_conjecture,
    ~ p11(c13,f4(c17,f6(c18))),
    inference(fof_simplification,[status(thm)],[not_p11_12]) ).

cnf(c_0_43,negated_conjecture,
    ( p11(X1,X2)
    | ~ p3(f4(c17,f5(c18)),X2)
    | ~ p7(c13,X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_41]) ).

cnf(c_0_44,negated_conjecture,
    ~ p11(c13,f4(c17,f6(c18))),
    c_0_42 ).

cnf(c_0_45,negated_conjecture,
    ( p11(X1,f4(X2,X3))
    | ~ p2(f5(c18),X3)
    | ~ p2(c17,X2)
    | ~ p7(c13,X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_31]) ).

cnf(c_0_46,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_28]),c_0_18]),c_0_39])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN591-1 : TPTP v8.2.0. Released v2.5.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 15:05:53 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.20/0.50  Running first-order model finding
% 0.20/0.50  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/benchmark/theBenchmark.p
% 2.12/0.75  # Version: 3.1.0
% 2.12/0.75  # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.12/0.75  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.12/0.75  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.12/0.75  # Starting new_bool_3 with 300s (1) cores
% 2.12/0.75  # Starting new_bool_1 with 300s (1) cores
% 2.12/0.75  # Starting sh5l with 300s (1) cores
% 2.12/0.75  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 25578 completed with status 0
% 2.12/0.75  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 2.12/0.75  # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.12/0.75  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.12/0.75  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.12/0.75  # No SInE strategy applied
% 2.12/0.75  # Search class: FGUNM-FFSM21-SFFFFFNN
% 2.12/0.75  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.12/0.75  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 811s (1) cores
% 2.12/0.75  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 2.12/0.75  # Starting new_bool_3 with 136s (1) cores
% 2.12/0.75  # Starting new_bool_1 with 136s (1) cores
% 2.12/0.75  # Starting sh5l with 136s (1) cores
% 2.12/0.75  # G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with pid 25582 completed with status 0
% 2.12/0.75  # Result found by G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN
% 2.12/0.75  # Preprocessing class: FSMSSMSSSSSNFFN.
% 2.12/0.75  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 2.12/0.75  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 2.12/0.75  # No SInE strategy applied
% 2.12/0.75  # Search class: FGUNM-FFSM21-SFFFFFNN
% 2.12/0.75  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 2.12/0.75  # Starting G-E--_302_C18_F1_URBAN_S5PRR_RG_S04BN with 811s (1) cores
% 2.12/0.75  # Preprocessing time       : 0.002 s
% 2.12/0.75  
% 2.12/0.75  # Proof found!
% 2.12/0.75  # SZS status Unsatisfiable
% 2.12/0.75  # SZS output start CNFRefutation
% See solution above
% 2.12/0.75  # Parsed axioms                        : 27
% 2.12/0.75  # Removed by relevancy pruning/SinE    : 0
% 2.12/0.75  # Initial clauses                      : 27
% 2.12/0.75  # Removed in clause preprocessing      : 0
% 2.12/0.75  # Initial clauses in saturation        : 27
% 2.12/0.75  # Processed clauses                    : 1461
% 2.12/0.75  # ...of these trivial                  : 2
% 2.12/0.75  # ...subsumed                          : 826
% 2.12/0.75  # ...remaining for further processing  : 633
% 2.12/0.75  # Other redundant clauses eliminated   : 0
% 2.12/0.75  # Clauses deleted for lack of memory   : 0
% 2.12/0.75  # Backward-subsumed                    : 39
% 2.12/0.75  # Backward-rewritten                   : 6
% 2.12/0.75  # Generated clauses                    : 15299
% 2.12/0.75  # ...of the previous two non-redundant : 14855
% 2.12/0.75  # ...aggressively subsumed             : 0
% 2.12/0.75  # Contextual simplify-reflections      : 3
% 2.12/0.75  # Paramodulations                      : 15293
% 2.12/0.75  # Factorizations                       : 6
% 2.12/0.75  # NegExts                              : 0
% 2.12/0.75  # Equation resolutions                 : 0
% 2.12/0.75  # Disequality decompositions           : 0
% 2.12/0.75  # Total rewrite steps                  : 2710
% 2.12/0.75  # ...of those cached                   : 2688
% 2.12/0.75  # Propositional unsat checks           : 0
% 2.12/0.75  #    Propositional check models        : 0
% 2.12/0.75  #    Propositional check unsatisfiable : 0
% 2.12/0.75  #    Propositional clauses             : 0
% 2.12/0.75  #    Propositional clauses after purity: 0
% 2.12/0.75  #    Propositional unsat core size     : 0
% 2.12/0.75  #    Propositional preprocessing time  : 0.000
% 2.12/0.75  #    Propositional encoding time       : 0.000
% 2.12/0.75  #    Propositional solver time         : 0.000
% 2.12/0.75  #    Success case prop preproc time    : 0.000
% 2.12/0.75  #    Success case prop encoding time   : 0.000
% 2.12/0.75  #    Success case prop solver time     : 0.000
% 2.12/0.75  # Current number of processed clauses  : 588
% 2.12/0.75  #    Positive orientable unit clauses  : 15
% 2.12/0.75  #    Positive unorientable unit clauses: 0
% 2.12/0.75  #    Negative unit clauses             : 3
% 2.12/0.75  #    Non-unit-clauses                  : 570
% 2.12/0.75  # Current number of unprocessed clauses: 13377
% 2.12/0.75  # ...number of literals in the above   : 53847
% 2.12/0.75  # Current number of archived formulas  : 0
% 2.12/0.75  # Current number of archived clauses   : 45
% 2.12/0.75  # Clause-clause subsumption calls (NU) : 128767
% 2.12/0.75  # Rec. Clause-clause subsumption calls : 86823
% 2.12/0.75  # Non-unit clause-clause subsumptions  : 852
% 2.12/0.75  # Unit Clause-clause subsumption calls : 42
% 2.12/0.75  # Rewrite failures with RHS unbound    : 0
% 2.12/0.75  # BW rewrite match attempts            : 5
% 2.12/0.75  # BW rewrite match successes           : 1
% 2.12/0.75  # Condensation attempts                : 0
% 2.12/0.75  # Condensation successes               : 0
% 2.12/0.75  # Termbank termtop insertions          : 239554
% 2.12/0.75  # Search garbage collected termcells   : 67
% 2.12/0.75  
% 2.12/0.75  # -------------------------------------------------
% 2.12/0.75  # User time                : 0.233 s
% 2.12/0.75  # System time              : 0.010 s
% 2.12/0.75  # Total time               : 0.242 s
% 2.12/0.75  # Maximum resident set size: 1680 pages
% 2.12/0.75  
% 2.12/0.75  # -------------------------------------------------
% 2.12/0.75  # User time                : 1.163 s
% 2.12/0.75  # System time              : 0.024 s
% 2.12/0.75  # Total time               : 1.187 s
% 2.12/0.75  # Maximum resident set size: 1712 pages
% 2.12/0.75  % E---3.1 exiting
%------------------------------------------------------------------------------