TSTP Solution File: SYN690-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYN690-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 10:10:05 EDT 2024

% Result   : Unsatisfiable 0.21s 0.55s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   34 (  13 unt;   7 nHn;  25 RR)
%            Number of literals    :   84 (   0 equ;  46 neg)
%            Maximal clause size   :    6 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   24 (  24 usr;  10 con; 0-2 aty)
%            Number of variables   :   71 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p4_27,negated_conjecture,
    ( p4(X1,X2)
    | ~ p4(X3,X1)
    | ~ p4(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.H6m5kO7Enf/E---3.1_11484.p',p4_27) ).

cnf(p2_61,negated_conjecture,
    ( p2(X1,X2)
    | p4(f5(f26(f28(c43,X3),X4),X5),f5(f26(f28(c44,X3),X4),X5))
    | ~ p34(c36,X3)
    | ~ p35(f10(X3,X5),f30(f32(c42,X3),X4))
    | ~ p4(f5(X1,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X1),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
    | ~ p4(f5(X2,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X2),f18(f20(f22(f24(c45,X3),X4),X1),X2))) ),
    file('/export/starexec/sandbox2/tmp/tmp.H6m5kO7Enf/E---3.1_11484.p',p2_61) ).

cnf(p4_21,negated_conjecture,
    p4(f5(c40,X1),f5(f7(c39,c40),X1)),
    file('/export/starexec/sandbox2/tmp/tmp.H6m5kO7Enf/E---3.1_11484.p',p4_21) ).

cnf(p4_5,negated_conjecture,
    p4(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.H6m5kO7Enf/E---3.1_11484.p',p4_5) ).

cnf(p4_22,negated_conjecture,
    p4(f5(c38,X1),f5(f7(c39,c38),X1)),
    file('/export/starexec/sandbox2/tmp/tmp.H6m5kO7Enf/E---3.1_11484.p',p4_22) ).

cnf(not_p2_20,negated_conjecture,
    ~ p2(c38,c40),
    file('/export/starexec/sandbox2/tmp/tmp.H6m5kO7Enf/E---3.1_11484.p',not_p2_20) ).

cnf(p4_58,negated_conjecture,
    ( p4(f5(f7(c39,X1),X2),f5(f7(c39,X3),X2))
    | ~ p4(f5(X1,f12(f14(f16(c41,X1),X3),X2)),f5(X3,f12(f14(f16(c41,X1),X3),X2))) ),
    file('/export/starexec/sandbox2/tmp/tmp.H6m5kO7Enf/E---3.1_11484.p',p4_58) ).

cnf(p4_57,negated_conjecture,
    ( p4(f5(f7(c39,X1),X2),f5(f7(c39,X3),X2))
    | p35(f10(c37,f12(f14(f16(c41,X1),X3),X2)),X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.H6m5kO7Enf/E---3.1_11484.p',p4_57) ).

cnf(p34_19,negated_conjecture,
    p34(c36,c37),
    file('/export/starexec/sandbox2/tmp/tmp.H6m5kO7Enf/E---3.1_11484.p',p34_19) ).

cnf(p2_62,negated_conjecture,
    ( p2(X1,X2)
    | ~ p34(c36,X3)
    | ~ p4(f5(X1,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X1),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
    | ~ p4(f5(X2,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X2),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
    | ~ p4(f5(f7(X4,f26(f28(c43,X3),X4)),f30(f32(c42,X3),X4)),f5(f7(X4,f26(f28(c44,X3),X4)),f30(f32(c42,X3),X4))) ),
    file('/export/starexec/sandbox2/tmp/tmp.H6m5kO7Enf/E---3.1_11484.p',p2_62) ).

cnf(c_0_10,negated_conjecture,
    ( p4(X1,X2)
    | ~ p4(X3,X1)
    | ~ p4(X3,X2) ),
    inference(fof_simplification,[status(thm)],[p4_27]) ).

cnf(c_0_11,negated_conjecture,
    ( p2(X1,X2)
    | p4(f5(f26(f28(c43,X3),X4),X5),f5(f26(f28(c44,X3),X4),X5))
    | ~ p34(c36,X3)
    | ~ p35(f10(X3,X5),f30(f32(c42,X3),X4))
    | ~ p4(f5(X1,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X1),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
    | ~ p4(f5(X2,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X2),f18(f20(f22(f24(c45,X3),X4),X1),X2))) ),
    inference(fof_simplification,[status(thm)],[p2_61]) ).

cnf(c_0_12,negated_conjecture,
    ( p4(X1,X2)
    | ~ p4(X3,X1)
    | ~ p4(X3,X2) ),
    c_0_10 ).

cnf(c_0_13,negated_conjecture,
    p4(f5(c40,X1),f5(f7(c39,c40),X1)),
    p4_21 ).

cnf(c_0_14,negated_conjecture,
    ( p2(X1,X2)
    | p4(f5(f26(f28(c43,X3),X4),X5),f5(f26(f28(c44,X3),X4),X5))
    | ~ p34(c36,X3)
    | ~ p35(f10(X3,X5),f30(f32(c42,X3),X4))
    | ~ p4(f5(X1,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X1),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
    | ~ p4(f5(X2,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X2),f18(f20(f22(f24(c45,X3),X4),X1),X2))) ),
    c_0_11 ).

cnf(c_0_15,negated_conjecture,
    ( p4(X1,f5(f7(c39,c40),X2))
    | ~ p4(f5(c40,X2),X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_16,negated_conjecture,
    p4(X1,X1),
    p4_5 ).

cnf(c_0_17,negated_conjecture,
    p4(f5(c38,X1),f5(f7(c39,c38),X1)),
    p4_22 ).

cnf(c_0_18,negated_conjecture,
    ~ p2(c38,c40),
    inference(fof_simplification,[status(thm)],[not_p2_20]) ).

cnf(c_0_19,negated_conjecture,
    ( p2(X1,c40)
    | p4(f5(f26(f28(c43,X2),c39),X3),f5(f26(f28(c44,X2),c39),X3))
    | ~ p35(f10(X2,X3),f30(f32(c42,X2),c39))
    | ~ p34(c36,X2)
    | ~ p4(f5(X1,f18(f20(f22(f24(c45,X2),c39),X1),c40)),f5(f7(c39,X1),f18(f20(f22(f24(c45,X2),c39),X1),c40))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16])]) ).

cnf(c_0_20,negated_conjecture,
    ( p4(X1,f5(f7(c39,c38),X2))
    | ~ p4(f5(c38,X2),X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_17]) ).

cnf(c_0_21,negated_conjecture,
    ~ p2(c38,c40),
    c_0_18 ).

cnf(c_0_22,negated_conjecture,
    ( p4(f5(f7(c39,X1),X2),f5(f7(c39,X3),X2))
    | ~ p4(f5(X1,f12(f14(f16(c41,X1),X3),X2)),f5(X3,f12(f14(f16(c41,X1),X3),X2))) ),
    inference(fof_simplification,[status(thm)],[p4_58]) ).

cnf(c_0_23,negated_conjecture,
    ( p4(f5(f26(f28(c43,X1),c39),X2),f5(f26(f28(c44,X1),c39),X2))
    | ~ p35(f10(X1,X2),f30(f32(c42,X1),c39))
    | ~ p34(c36,X1) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_16])]),c_0_21]) ).

cnf(c_0_24,negated_conjecture,
    ( p4(f5(f7(c39,X1),X2),f5(f7(c39,X3),X2))
    | p35(f10(c37,f12(f14(f16(c41,X1),X3),X2)),X2) ),
    p4_57 ).

cnf(c_0_25,negated_conjecture,
    p34(c36,c37),
    p34_19 ).

cnf(c_0_26,negated_conjecture,
    ( p2(X1,X2)
    | ~ p34(c36,X3)
    | ~ p4(f5(X1,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X1),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
    | ~ p4(f5(X2,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X2),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
    | ~ p4(f5(f7(X4,f26(f28(c43,X3),X4)),f30(f32(c42,X3),X4)),f5(f7(X4,f26(f28(c44,X3),X4)),f30(f32(c42,X3),X4))) ),
    inference(fof_simplification,[status(thm)],[p2_62]) ).

cnf(c_0_27,negated_conjecture,
    ( p4(f5(f7(c39,X1),X2),f5(f7(c39,X3),X2))
    | ~ p4(f5(X1,f12(f14(f16(c41,X1),X3),X2)),f5(X3,f12(f14(f16(c41,X1),X3),X2))) ),
    c_0_22 ).

cnf(c_0_28,negated_conjecture,
    ( p4(f5(f26(f28(c43,c37),c39),f12(f14(f16(c41,X1),X2),f30(f32(c42,c37),c39))),f5(f26(f28(c44,c37),c39),f12(f14(f16(c41,X1),X2),f30(f32(c42,c37),c39))))
    | p4(f5(f7(c39,X1),f30(f32(c42,c37),c39)),f5(f7(c39,X2),f30(f32(c42,c37),c39))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).

cnf(c_0_29,negated_conjecture,
    ( p2(X1,X2)
    | ~ p34(c36,X3)
    | ~ p4(f5(X1,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X1),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
    | ~ p4(f5(X2,f18(f20(f22(f24(c45,X3),X4),X1),X2)),f5(f7(X4,X2),f18(f20(f22(f24(c45,X3),X4),X1),X2)))
    | ~ p4(f5(f7(X4,f26(f28(c43,X3),X4)),f30(f32(c42,X3),X4)),f5(f7(X4,f26(f28(c44,X3),X4)),f30(f32(c42,X3),X4))) ),
    c_0_26 ).

cnf(c_0_30,negated_conjecture,
    p4(f5(f7(c39,f26(f28(c43,c37),c39)),f30(f32(c42,c37),c39)),f5(f7(c39,f26(f28(c44,c37),c39)),f30(f32(c42,c37),c39))),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_31,negated_conjecture,
    ( p2(X1,X2)
    | ~ p4(f5(X2,f18(f20(f22(f24(c45,c37),c39),X1),X2)),f5(f7(c39,X2),f18(f20(f22(f24(c45,c37),c39),X1),X2)))
    | ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X1),X2)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X1),X2))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_25])]) ).

cnf(c_0_32,negated_conjecture,
    ( p2(X1,c40)
    | ~ p4(f5(X1,f18(f20(f22(f24(c45,c37),c39),X1),c40)),f5(f7(c39,X1),f18(f20(f22(f24(c45,c37),c39),X1),c40))) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_15]),c_0_16])]) ).

cnf(c_0_33,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_20]),c_0_16])]),c_0_21]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SYN690-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.14  % Command    : run_E %s %d THM
% 0.15/0.35  % Computer : n003.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   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 11:06:35 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order theorem proving
% 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 --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/tmp/tmp.H6m5kO7Enf/E---3.1_11484.p
% 0.21/0.55  # Version: 3.1.0
% 0.21/0.55  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.55  # Starting sh5l with 300s (1) cores
% 0.21/0.55  # new_bool_1 with pid 11565 completed with status 0
% 0.21/0.55  # Result found by new_bool_1
% 0.21/0.55  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.55  # Search class: FGUNM-FFMF22-MFFFFFNN
% 0.21/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.55  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.55  # SAT001_MinMin_p005000_rr_RG with pid 11571 completed with status 0
% 0.21/0.55  # Result found by SAT001_MinMin_p005000_rr_RG
% 0.21/0.55  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.21/0.55  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.55  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.21/0.55  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.55  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.55  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.21/0.55  # Search class: FGUNM-FFMF22-MFFFFFNN
% 0.21/0.55  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.21/0.55  # Starting SAT001_MinMin_p005000_rr_RG with 181s (1) cores
% 0.21/0.55  # Preprocessing time       : 0.003 s
% 0.21/0.55  # Presaturation interreduction done
% 0.21/0.55  
% 0.21/0.55  # Proof found!
% 0.21/0.55  # SZS status Unsatisfiable
% 0.21/0.55  # SZS output start CNFRefutation
% See solution above
% 0.21/0.55  # Parsed axioms                        : 62
% 0.21/0.55  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.55  # Initial clauses                      : 62
% 0.21/0.55  # Removed in clause preprocessing      : 0
% 0.21/0.55  # Initial clauses in saturation        : 62
% 0.21/0.55  # Processed clauses                    : 459
% 0.21/0.55  # ...of these trivial                  : 4
% 0.21/0.55  # ...subsumed                          : 80
% 0.21/0.55  # ...remaining for further processing  : 375
% 0.21/0.55  # Other redundant clauses eliminated   : 0
% 0.21/0.55  # Clauses deleted for lack of memory   : 0
% 0.21/0.55  # Backward-subsumed                    : 4
% 0.21/0.55  # Backward-rewritten                   : 0
% 0.21/0.55  # Generated clauses                    : 1514
% 0.21/0.55  # ...of the previous two non-redundant : 1284
% 0.21/0.55  # ...aggressively subsumed             : 0
% 0.21/0.55  # Contextual simplify-reflections      : 0
% 0.21/0.55  # Paramodulations                      : 1514
% 0.21/0.55  # Factorizations                       : 0
% 0.21/0.55  # NegExts                              : 0
% 0.21/0.55  # Equation resolutions                 : 0
% 0.21/0.55  # Disequality decompositions           : 0
% 0.21/0.55  # Total rewrite steps                  : 309
% 0.21/0.55  # ...of those cached                   : 223
% 0.21/0.55  # Propositional unsat checks           : 0
% 0.21/0.55  #    Propositional check models        : 0
% 0.21/0.55  #    Propositional check unsatisfiable : 0
% 0.21/0.55  #    Propositional clauses             : 0
% 0.21/0.55  #    Propositional clauses after purity: 0
% 0.21/0.55  #    Propositional unsat core size     : 0
% 0.21/0.55  #    Propositional preprocessing time  : 0.000
% 0.21/0.55  #    Propositional encoding time       : 0.000
% 0.21/0.55  #    Propositional solver time         : 0.000
% 0.21/0.55  #    Success case prop preproc time    : 0.000
% 0.21/0.55  #    Success case prop encoding time   : 0.000
% 0.21/0.55  #    Success case prop solver time     : 0.000
% 0.21/0.55  # Current number of processed clauses  : 309
% 0.21/0.55  #    Positive orientable unit clauses  : 41
% 0.21/0.55  #    Positive unorientable unit clauses: 0
% 0.21/0.55  #    Negative unit clauses             : 1
% 0.21/0.55  #    Non-unit-clauses                  : 267
% 0.21/0.55  # Current number of unprocessed clauses: 945
% 0.21/0.55  # ...number of literals in the above   : 2952
% 0.21/0.55  # Current number of archived formulas  : 0
% 0.21/0.55  # Current number of archived clauses   : 66
% 0.21/0.55  # Clause-clause subsumption calls (NU) : 19156
% 0.21/0.55  # Rec. Clause-clause subsumption calls : 13429
% 0.21/0.55  # Non-unit clause-clause subsumptions  : 82
% 0.21/0.55  # Unit Clause-clause subsumption calls : 55
% 0.21/0.55  # Rewrite failures with RHS unbound    : 0
% 0.21/0.55  # BW rewrite match attempts            : 83
% 0.21/0.55  # BW rewrite match successes           : 0
% 0.21/0.55  # Condensation attempts                : 0
% 0.21/0.55  # Condensation successes               : 0
% 0.21/0.55  # Termbank termtop insertions          : 32464
% 0.21/0.55  # Search garbage collected termcells   : 219
% 0.21/0.55  
% 0.21/0.55  # -------------------------------------------------
% 0.21/0.55  # User time                : 0.050 s
% 0.21/0.55  # System time              : 0.003 s
% 0.21/0.55  # Total time               : 0.053 s
% 0.21/0.55  # Maximum resident set size: 1928 pages
% 0.21/0.55  
% 0.21/0.55  # -------------------------------------------------
% 0.21/0.55  # User time                : 0.052 s
% 0.21/0.55  # System time              : 0.006 s
% 0.21/0.55  # Total time               : 0.058 s
% 0.21/0.55  # Maximum resident set size: 1764 pages
% 0.21/0.55  % E---3.1 exiting
% 0.21/0.56  % E exiting
%------------------------------------------------------------------------------