TSTP Solution File: SYN563-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SYN563-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n004.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 10:22:24 EDT 2024

% Result   : Unsatisfiable 3.13s 0.90s
% Output   : CNFRefutation 3.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   47 (  13 unt;   0 nHn;  41 RR)
%            Number of literals    :  108 (   0 equ;  64 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   92 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p6_16,negated_conjecture,
    ( p6(X1,X2)
    | ~ p2(X3,X1)
    | ~ p6(X3,X4)
    | ~ p2(X4,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.f4DilKgJyG/E---3.1_25498.p',p6_16) ).

cnf(p6_2,negated_conjecture,
    p6(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.f4DilKgJyG/E---3.1_25498.p',p6_2) ).

cnf(p2_1,negated_conjecture,
    p2(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.f4DilKgJyG/E---3.1_25498.p',p2_1) ).

cnf(p2_11,negated_conjecture,
    ( p2(f3(X1),f3(X2))
    | ~ p2(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.f4DilKgJyG/E---3.1_25498.p',p2_11) ).

cnf(p6_14,negated_conjecture,
    ( p6(X1,X2)
    | ~ p6(X1,X3)
    | ~ p6(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.f4DilKgJyG/E---3.1_25498.p',p6_14) ).

cnf(p5_17,negated_conjecture,
    ( p5(X1,X2)
    | ~ p2(X3,X2)
    | ~ p5(X4,X3)
    | ~ p2(X4,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.f4DilKgJyG/E---3.1_25498.p',p5_17) ).

cnf(p6_9,negated_conjecture,
    ( p6(c7,f3(X1))
    | ~ p6(c7,X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.f4DilKgJyG/E---3.1_25498.p',p6_9) ).

cnf(p5_7,negated_conjecture,
    p5(f3(f3(X1)),f3(f4(X1))),
    file('/export/starexec/sandbox2/tmp/tmp.f4DilKgJyG/E---3.1_25498.p',p5_7) ).

cnf(p5_15,negated_conjecture,
    ( p5(X1,X2)
    | ~ p5(X3,X2)
    | ~ p6(X1,X3) ),
    file('/export/starexec/sandbox2/tmp/tmp.f4DilKgJyG/E---3.1_25498.p',p5_15) ).

cnf(p6_10,negated_conjecture,
    ( p6(f4(X1),X2)
    | ~ p5(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.f4DilKgJyG/E---3.1_25498.p',p6_10) ).

cnf(p2_4,negated_conjecture,
    p2(f4(c7),f4(c8)),
    file('/export/starexec/sandbox2/tmp/tmp.f4DilKgJyG/E---3.1_25498.p',p2_4) ).

cnf(not_p6_5,negated_conjecture,
    ~ p6(f4(c7),f3(f4(c8))),
    file('/export/starexec/sandbox2/tmp/tmp.f4DilKgJyG/E---3.1_25498.p',not_p6_5) ).

cnf(c_0_12,negated_conjecture,
    ( p6(X1,X2)
    | ~ p2(X3,X1)
    | ~ p6(X3,X4)
    | ~ p2(X4,X2) ),
    inference(fof_simplification,[status(thm)],[p6_16]) ).

cnf(c_0_13,negated_conjecture,
    ( p6(X1,X2)
    | ~ p2(X3,X1)
    | ~ p6(X3,X4)
    | ~ p2(X4,X2) ),
    c_0_12 ).

cnf(c_0_14,negated_conjecture,
    p6(X1,X1),
    p6_2 ).

cnf(c_0_15,negated_conjecture,
    ( p6(X1,X2)
    | ~ p2(X3,X2)
    | ~ p2(X3,X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_16,negated_conjecture,
    p2(X1,X1),
    p2_1 ).

cnf(c_0_17,negated_conjecture,
    ( p2(f3(X1),f3(X2))
    | ~ p2(X1,X2) ),
    inference(fof_simplification,[status(thm)],[p2_11]) ).

cnf(c_0_18,negated_conjecture,
    ( p6(X1,X2)
    | ~ p6(X1,X3)
    | ~ p6(X3,X2) ),
    inference(fof_simplification,[status(thm)],[p6_14]) ).

cnf(c_0_19,negated_conjecture,
    ( p6(X1,X2)
    | ~ p2(X2,X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_20,negated_conjecture,
    ( p2(f3(X1),f3(X2))
    | ~ p2(X1,X2) ),
    c_0_17 ).

cnf(c_0_21,negated_conjecture,
    ( p5(X1,X2)
    | ~ p2(X3,X2)
    | ~ p5(X4,X3)
    | ~ p2(X4,X1) ),
    inference(fof_simplification,[status(thm)],[p5_17]) ).

cnf(c_0_22,negated_conjecture,
    ( p6(X1,X2)
    | ~ p6(X1,X3)
    | ~ p6(X3,X2) ),
    c_0_18 ).

cnf(c_0_23,negated_conjecture,
    ( p6(f3(X1),f3(X2))
    | ~ p2(X2,X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,negated_conjecture,
    ( p6(c7,f3(X1))
    | ~ p6(c7,X1) ),
    inference(fof_simplification,[status(thm)],[p6_9]) ).

cnf(c_0_25,negated_conjecture,
    ( p5(X1,X2)
    | ~ p2(X3,X2)
    | ~ p5(X4,X3)
    | ~ p2(X4,X1) ),
    c_0_21 ).

cnf(c_0_26,negated_conjecture,
    p5(f3(f3(X1)),f3(f4(X1))),
    p5_7 ).

cnf(c_0_27,negated_conjecture,
    ( p6(X1,f3(X2))
    | ~ p6(X1,f3(X3))
    | ~ p2(X2,X3) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_28,negated_conjecture,
    ( p6(c7,f3(X1))
    | ~ p6(c7,X1) ),
    c_0_24 ).

cnf(c_0_29,negated_conjecture,
    ( p5(X1,X2)
    | ~ p5(X3,X2)
    | ~ p6(X1,X3) ),
    inference(fof_simplification,[status(thm)],[p5_15]) ).

cnf(c_0_30,negated_conjecture,
    ( p5(X1,X2)
    | ~ p2(f3(f3(X3)),X1)
    | ~ p2(f3(f4(X3)),X2) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_31,negated_conjecture,
    ( p6(c7,f3(X1))
    | ~ p6(c7,X2)
    | ~ p2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_32,negated_conjecture,
    ( p6(X1,f3(X2))
    | ~ p6(X1,c7)
    | ~ p6(c7,X2) ),
    inference(spm,[status(thm)],[c_0_22,c_0_28]) ).

cnf(c_0_33,negated_conjecture,
    ( p5(X1,X2)
    | ~ p5(X3,X2)
    | ~ p6(X1,X3) ),
    c_0_29 ).

cnf(c_0_34,negated_conjecture,
    ( p5(f3(f3(X1)),X2)
    | ~ p2(f3(f4(X1)),X2) ),
    inference(spm,[status(thm)],[c_0_30,c_0_16]) ).

cnf(c_0_35,negated_conjecture,
    ( p6(c7,f3(X1))
    | ~ p6(c7,X2)
    | ~ p2(X1,f3(X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_14])]) ).

cnf(c_0_36,negated_conjecture,
    ( p5(X1,X2)
    | ~ p6(X1,f3(f3(X3)))
    | ~ p2(f3(f4(X3)),X2) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_37,negated_conjecture,
    ( p6(c7,f3(f3(X1)))
    | ~ p6(c7,X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_16]) ).

cnf(c_0_38,negated_conjecture,
    ( p5(c7,X1)
    | ~ p6(c7,X2)
    | ~ p2(f3(f4(X2)),X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_39,negated_conjecture,
    ( p6(f4(X1),X2)
    | ~ p5(X1,X2) ),
    inference(fof_simplification,[status(thm)],[p6_10]) ).

cnf(c_0_40,negated_conjecture,
    ( p5(c7,f3(X1))
    | ~ p6(c7,X2)
    | ~ p2(f4(X2),X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_20]) ).

cnf(c_0_41,negated_conjecture,
    p2(f4(c7),f4(c8)),
    p2_4 ).

cnf(c_0_42,negated_conjecture,
    ~ p6(f4(c7),f3(f4(c8))),
    inference(fof_simplification,[status(thm)],[not_p6_5]) ).

cnf(c_0_43,negated_conjecture,
    ( p6(f4(X1),X2)
    | ~ p5(X1,X2) ),
    c_0_39 ).

cnf(c_0_44,negated_conjecture,
    p5(c7,f3(f4(c8))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_14])]) ).

cnf(c_0_45,negated_conjecture,
    ~ p6(f4(c7),f3(f4(c8))),
    c_0_42 ).

cnf(c_0_46,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN563-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n004.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Fri May  3 10:29:18 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  Running first-order model finding
% 0.20/0.48  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.f4DilKgJyG/E---3.1_25498.p
% 3.13/0.90  # Version: 3.1.0
% 3.13/0.90  # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.13/0.90  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.13/0.90  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.13/0.90  # Starting new_bool_3 with 300s (1) cores
% 3.13/0.90  # Starting new_bool_1 with 300s (1) cores
% 3.13/0.90  # Starting sh5l with 300s (1) cores
% 3.13/0.90  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 25575 completed with status 0
% 3.13/0.90  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.13/0.90  # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.13/0.90  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.13/0.90  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.13/0.90  # No SInE strategy applied
% 3.13/0.90  # Search class: FHUNS-FFSF11-SFFFFFNN
% 3.13/0.90  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.13/0.90  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 3.13/0.90  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.13/0.90  # Starting new_bool_3 with 136s (1) cores
% 3.13/0.90  # Starting new_bool_1 with 136s (1) cores
% 3.13/0.90  # Starting sh5l with 136s (1) cores
% 3.13/0.90  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 25580 completed with status 0
% 3.13/0.90  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 3.13/0.90  # Preprocessing class: FSMSSMSSSSSNFFN.
% 3.13/0.90  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 3.13/0.90  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 3.13/0.90  # No SInE strategy applied
% 3.13/0.90  # Search class: FHUNS-FFSF11-SFFFFFNN
% 3.13/0.90  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 3.13/0.90  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 3.13/0.90  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 3.13/0.90  # Preprocessing time       : 0.001 s
% 3.13/0.90  # Presaturation interreduction done
% 3.13/0.90  
% 3.13/0.90  # Proof found!
% 3.13/0.90  # SZS status Unsatisfiable
% 3.13/0.90  # SZS output start CNFRefutation
% See solution above
% 3.13/0.90  # Parsed axioms                        : 17
% 3.13/0.90  # Removed by relevancy pruning/SinE    : 0
% 3.13/0.90  # Initial clauses                      : 17
% 3.13/0.90  # Removed in clause preprocessing      : 0
% 3.13/0.90  # Initial clauses in saturation        : 17
% 3.13/0.90  # Processed clauses                    : 4885
% 3.13/0.90  # ...of these trivial                  : 357
% 3.13/0.90  # ...subsumed                          : 2613
% 3.13/0.90  # ...remaining for further processing  : 1915
% 3.13/0.90  # Other redundant clauses eliminated   : 0
% 3.13/0.90  # Clauses deleted for lack of memory   : 0
% 3.13/0.90  # Backward-subsumed                    : 87
% 3.13/0.90  # Backward-rewritten                   : 53
% 3.13/0.90  # Generated clauses                    : 46164
% 3.13/0.90  # ...of the previous two non-redundant : 38126
% 3.13/0.90  # ...aggressively subsumed             : 0
% 3.13/0.90  # Contextual simplify-reflections      : 0
% 3.13/0.90  # Paramodulations                      : 46164
% 3.13/0.90  # Factorizations                       : 0
% 3.13/0.90  # NegExts                              : 0
% 3.13/0.90  # Equation resolutions                 : 0
% 3.13/0.90  # Disequality decompositions           : 0
% 3.13/0.90  # Total rewrite steps                  : 10583
% 3.13/0.90  # ...of those cached                   : 10247
% 3.13/0.90  # Propositional unsat checks           : 0
% 3.13/0.90  #    Propositional check models        : 0
% 3.13/0.90  #    Propositional check unsatisfiable : 0
% 3.13/0.90  #    Propositional clauses             : 0
% 3.13/0.90  #    Propositional clauses after purity: 0
% 3.13/0.90  #    Propositional unsat core size     : 0
% 3.13/0.90  #    Propositional preprocessing time  : 0.000
% 3.13/0.90  #    Propositional encoding time       : 0.000
% 3.13/0.90  #    Propositional solver time         : 0.000
% 3.13/0.90  #    Success case prop preproc time    : 0.000
% 3.13/0.90  #    Success case prop encoding time   : 0.000
% 3.13/0.90  #    Success case prop solver time     : 0.000
% 3.13/0.90  # Current number of processed clauses  : 1758
% 3.13/0.90  #    Positive orientable unit clauses  : 364
% 3.13/0.90  #    Positive unorientable unit clauses: 0
% 3.13/0.90  #    Negative unit clauses             : 20
% 3.13/0.90  #    Non-unit-clauses                  : 1374
% 3.13/0.90  # Current number of unprocessed clauses: 33170
% 3.13/0.90  # ...number of literals in the above   : 93561
% 3.13/0.90  # Current number of archived formulas  : 0
% 3.13/0.90  # Current number of archived clauses   : 157
% 3.13/0.90  # Clause-clause subsumption calls (NU) : 110818
% 3.13/0.90  # Rec. Clause-clause subsumption calls : 109226
% 3.13/0.90  # Non-unit clause-clause subsumptions  : 2507
% 3.13/0.90  # Unit Clause-clause subsumption calls : 972
% 3.13/0.90  # Rewrite failures with RHS unbound    : 0
% 3.13/0.90  # BW rewrite match attempts            : 8496
% 3.13/0.90  # BW rewrite match successes           : 18
% 3.13/0.90  # Condensation attempts                : 0
% 3.13/0.90  # Condensation successes               : 0
% 3.13/0.90  # Termbank termtop insertions          : 643240
% 3.13/0.90  # Search garbage collected termcells   : 45
% 3.13/0.90  
% 3.13/0.90  # -------------------------------------------------
% 3.13/0.90  # User time                : 0.390 s
% 3.13/0.90  # System time              : 0.015 s
% 3.13/0.90  # Total time               : 0.405 s
% 3.13/0.90  # Maximum resident set size: 1660 pages
% 3.13/0.90  
% 3.13/0.90  # -------------------------------------------------
% 3.13/0.90  # User time                : 1.955 s
% 3.13/0.90  # System time              : 0.037 s
% 3.13/0.90  # Total time               : 1.991 s
% 3.13/0.90  # Maximum resident set size: 1700 pages
% 3.13/0.90  % E---3.1 exiting
%------------------------------------------------------------------------------