TSTP Solution File: SYN572-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN572-1 : 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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 20:33:07 EDT 2023

% Result   : Unsatisfiable 31.85s 4.58s
% Output   : CNFRefutation 31.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   13
% Syntax   : Number of clauses     :   45 (  26 unt;   0 nHn;  19 RR)
%            Number of literals    :   76 (   0 equ;  33 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   3 con; 0-2 aty)
%            Number of variables   :   99 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p2_20,negated_conjecture,
    ( p2(f3(X1,X2),f3(X3,X4))
    | ~ p2(X1,X3)
    | ~ p2(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.hpbfKGuubg/E---3.1_4178.p',p2_20) ).

cnf(p2_11,negated_conjecture,
    p2(f3(X1,f9(X1)),f5(f7(f8(c13)))),
    file('/export/starexec/sandbox2/tmp/tmp.hpbfKGuubg/E---3.1_4178.p',p2_11) ).

cnf(p2_12,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X3,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.hpbfKGuubg/E---3.1_4178.p',p2_12) ).

cnf(p2_1,negated_conjecture,
    p2(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.hpbfKGuubg/E---3.1_4178.p',p2_1) ).

cnf(p2_5,negated_conjecture,
    p2(f3(X1,f5(f7(f8(c13)))),X1),
    file('/export/starexec/sandbox2/tmp/tmp.hpbfKGuubg/E---3.1_4178.p',p2_5) ).

cnf(p2_17,negated_conjecture,
    p2(f3(X1,f3(X2,X3)),f3(f3(X1,X2),X3)),
    file('/export/starexec/sandbox2/tmp/tmp.hpbfKGuubg/E---3.1_4178.p',p2_17) ).

cnf(p4_19,negated_conjecture,
    ( p4(f11(X1,X2),f11(X3,X4))
    | ~ p4(X1,X3)
    | ~ p4(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.hpbfKGuubg/E---3.1_4178.p',p4_19) ).

cnf(p4_4,negated_conjecture,
    p4(f10(f9(X1)),f10(X1)),
    file('/export/starexec/sandbox2/tmp/tmp.hpbfKGuubg/E---3.1_4178.p',p4_4) ).

cnf(p12_18,negated_conjecture,
    ( p12(X1,X2)
    | ~ p4(X3,X1)
    | ~ p4(X4,X2)
    | ~ p12(X3,X4) ),
    file('/export/starexec/sandbox2/tmp/tmp.hpbfKGuubg/E---3.1_4178.p',p12_18) ).

cnf(p4_3,negated_conjecture,
    p4(X1,X1),
    file('/export/starexec/sandbox2/tmp/tmp.hpbfKGuubg/E---3.1_4178.p',p4_3) ).

cnf(p4_9,negated_conjecture,
    ( p4(f10(X1),f10(X2))
    | ~ p2(X1,X2) ),
    file('/export/starexec/sandbox2/tmp/tmp.hpbfKGuubg/E---3.1_4178.p',p4_9) ).

cnf(p12_15,negated_conjecture,
    p12(f10(f3(X1,X2)),f11(f10(X1),f10(X2))),
    file('/export/starexec/sandbox2/tmp/tmp.hpbfKGuubg/E---3.1_4178.p',p12_15) ).

cnf(not_p12_16,negated_conjecture,
    ~ p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))),
    file('/export/starexec/sandbox2/tmp/tmp.hpbfKGuubg/E---3.1_4178.p',not_p12_16) ).

cnf(c_0_13,negated_conjecture,
    ( p2(f3(X1,X2),f3(X3,X4))
    | ~ p2(X1,X3)
    | ~ p2(X2,X4) ),
    p2_20 ).

cnf(c_0_14,negated_conjecture,
    p2(f3(X1,f9(X1)),f5(f7(f8(c13)))),
    p2_11 ).

cnf(c_0_15,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(X3,X1)
    | ~ p2(X3,X2) ),
    p2_12 ).

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

cnf(c_0_17,negated_conjecture,
    ( p2(f3(X1,f3(X2,f9(X2))),f3(X3,f5(f7(f8(c13)))))
    | ~ p2(X1,X3) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_18,negated_conjecture,
    p2(f3(X1,f5(f7(f8(c13)))),X1),
    p2_5 ).

cnf(c_0_19,negated_conjecture,
    ( p2(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,f9(X2))),f3(X1,f5(f7(f8(c13))))),
    inference(spm,[status(thm)],[c_0_17,c_0_16]) ).

cnf(c_0_21,negated_conjecture,
    p2(f3(X1,f3(X2,X3)),f3(f3(X1,X2),X3)),
    p2_17 ).

cnf(c_0_22,negated_conjecture,
    ( p2(X1,X2)
    | ~ p2(f3(X2,f5(f7(f8(c13)))),X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_18]) ).

cnf(c_0_23,negated_conjecture,
    p2(f3(X1,f5(f7(f8(c13)))),f3(X1,f3(X2,f9(X2)))),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,negated_conjecture,
    ( p2(X1,f3(f3(X2,X3),X4))
    | ~ p2(f3(X2,f3(X3,X4)),X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_21]) ).

cnf(c_0_25,negated_conjecture,
    p2(f3(X1,f3(X2,f9(X2))),X1),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    p2(X1,f3(f3(X1,X2),f9(X2))),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_27,negated_conjecture,
    ( p4(f11(X1,X2),f11(X3,X4))
    | ~ p4(X1,X3)
    | ~ p4(X2,X4) ),
    p4_19 ).

cnf(c_0_28,negated_conjecture,
    p4(f10(f9(X1)),f10(X1)),
    p4_4 ).

cnf(c_0_29,negated_conjecture,
    ( p12(X1,X2)
    | ~ p4(X3,X1)
    | ~ p4(X4,X2)
    | ~ p12(X3,X4) ),
    p12_18 ).

cnf(c_0_30,negated_conjecture,
    p4(X1,X1),
    p4_3 ).

cnf(c_0_31,negated_conjecture,
    ( p4(f10(X1),f10(X2))
    | ~ p2(X1,X2) ),
    p4_9 ).

cnf(c_0_32,negated_conjecture,
    p2(f3(f3(X1,X2),f9(X2)),X1),
    inference(spm,[status(thm)],[c_0_19,c_0_26]) ).

cnf(c_0_33,negated_conjecture,
    ( p4(f11(X1,f10(f9(X2))),f11(X3,f10(X2)))
    | ~ p4(X1,X3) ),
    inference(spm,[status(thm)],[c_0_27,c_0_28]) ).

cnf(c_0_34,negated_conjecture,
    ( p12(X1,X2)
    | ~ p12(X3,X2)
    | ~ p4(X3,X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_35,negated_conjecture,
    p4(f10(f3(f3(X1,X2),f9(X2))),f10(X1)),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_36,negated_conjecture,
    p4(f11(X1,f10(f9(X2))),f11(X1,f10(X2))),
    inference(spm,[status(thm)],[c_0_33,c_0_30]) ).

cnf(c_0_37,negated_conjecture,
    ( p12(f10(X1),X2)
    | ~ p12(f10(f3(f3(X1,X3),f9(X3))),X2) ),
    inference(spm,[status(thm)],[c_0_34,c_0_35]) ).

cnf(c_0_38,negated_conjecture,
    p12(f10(f3(X1,X2)),f11(f10(X1),f10(X2))),
    p12_15 ).

cnf(c_0_39,negated_conjecture,
    ( p12(X1,f11(X2,f10(X3)))
    | ~ p12(X4,f11(X2,f10(f9(X3))))
    | ~ p4(X4,X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_36]) ).

cnf(c_0_40,negated_conjecture,
    p12(f10(X1),f11(f10(f3(X1,X2)),f10(f9(X2)))),
    inference(spm,[status(thm)],[c_0_37,c_0_38]) ).

cnf(c_0_41,negated_conjecture,
    ( p12(X1,f11(f10(f3(X2,X3)),f10(X3)))
    | ~ p4(f10(X2),X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_40]) ).

cnf(c_0_42,negated_conjecture,
    ~ p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))),
    not_p12_16 ).

cnf(c_0_43,negated_conjecture,
    p12(f10(X1),f11(f10(f3(X1,X2)),f10(X2))),
    inference(spm,[status(thm)],[c_0_41,c_0_30]) ).

cnf(c_0_44,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN572-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Oct  2 18:35:15 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  Running first-order model finding
% 0.20/0.49  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.hpbfKGuubg/E---3.1_4178.p
% 31.85/4.58  # Version: 3.1pre001
% 31.85/4.58  # Preprocessing class: FSMSSMSSSSSNFFN.
% 31.85/4.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 31.85/4.58  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 31.85/4.58  # Starting new_bool_3 with 300s (1) cores
% 31.85/4.58  # Starting new_bool_1 with 300s (1) cores
% 31.85/4.58  # Starting sh5l with 300s (1) cores
% 31.85/4.58  # sh5l with pid 4262 completed with status 0
% 31.85/4.58  # Result found by sh5l
% 31.85/4.58  # Preprocessing class: FSMSSMSSSSSNFFN.
% 31.85/4.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 31.85/4.58  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 31.85/4.58  # Starting new_bool_3 with 300s (1) cores
% 31.85/4.58  # Starting new_bool_1 with 300s (1) cores
% 31.85/4.58  # Starting sh5l with 300s (1) cores
% 31.85/4.58  # SinE strategy is gf500_gu_R04_F100_L20000
% 31.85/4.58  # Search class: FHUNM-FFSF21-MFFFFFNN
% 31.85/4.58  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 31.85/4.58  # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 163s (1) cores
% 31.85/4.58  # G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with pid 4269 completed with status 0
% 31.85/4.58  # Result found by G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S
% 31.85/4.58  # Preprocessing class: FSMSSMSSSSSNFFN.
% 31.85/4.58  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 31.85/4.58  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 31.85/4.58  # Starting new_bool_3 with 300s (1) cores
% 31.85/4.58  # Starting new_bool_1 with 300s (1) cores
% 31.85/4.58  # Starting sh5l with 300s (1) cores
% 31.85/4.58  # SinE strategy is gf500_gu_R04_F100_L20000
% 31.85/4.58  # Search class: FHUNM-FFSF21-MFFFFFNN
% 31.85/4.58  # Scheduled 6 strats onto 1 cores with 300 seconds (300 total)
% 31.85/4.58  # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 163s (1) cores
% 31.85/4.58  # Preprocessing time       : 0.001 s
% 31.85/4.58  # Presaturation interreduction done
% 31.85/4.58  
% 31.85/4.58  # Proof found!
% 31.85/4.58  # SZS status Unsatisfiable
% 31.85/4.58  # SZS output start CNFRefutation
% See solution above
% 31.85/4.58  # Parsed axioms                        : 20
% 31.85/4.58  # Removed by relevancy pruning/SinE    : 0
% 31.85/4.58  # Initial clauses                      : 20
% 31.85/4.58  # Removed in clause preprocessing      : 0
% 31.85/4.58  # Initial clauses in saturation        : 20
% 31.85/4.58  # Processed clauses                    : 7666
% 31.85/4.58  # ...of these trivial                  : 3750
% 31.85/4.58  # ...subsumed                          : 0
% 31.85/4.58  # ...remaining for further processing  : 3916
% 31.85/4.58  # Other redundant clauses eliminated   : 0
% 31.85/4.58  # Clauses deleted for lack of memory   : 0
% 31.85/4.58  # Backward-subsumed                    : 0
% 31.85/4.58  # Backward-rewritten                   : 40
% 31.85/4.58  # Generated clauses                    : 472263
% 31.85/4.58  # ...of the previous two non-redundant : 454790
% 31.85/4.58  # ...aggressively subsumed             : 0
% 31.85/4.58  # Contextual simplify-reflections      : 0
% 31.85/4.58  # Paramodulations                      : 472263
% 31.85/4.58  # Factorizations                       : 0
% 31.85/4.58  # NegExts                              : 0
% 31.85/4.58  # Equation resolutions                 : 0
% 31.85/4.58  # Total rewrite steps                  : 21206
% 31.85/4.58  # Propositional unsat checks           : 0
% 31.85/4.58  #    Propositional check models        : 0
% 31.85/4.58  #    Propositional check unsatisfiable : 0
% 31.85/4.58  #    Propositional clauses             : 0
% 31.85/4.58  #    Propositional clauses after purity: 0
% 31.85/4.58  #    Propositional unsat core size     : 0
% 31.85/4.58  #    Propositional preprocessing time  : 0.000
% 31.85/4.58  #    Propositional encoding time       : 0.000
% 31.85/4.58  #    Propositional solver time         : 0.000
% 31.85/4.58  #    Success case prop preproc time    : 0.000
% 31.85/4.58  #    Success case prop encoding time   : 0.000
% 31.85/4.58  #    Success case prop solver time     : 0.000
% 31.85/4.58  # Current number of processed clauses  : 3856
% 31.85/4.58  #    Positive orientable unit clauses  : 3386
% 31.85/4.58  #    Positive unorientable unit clauses: 0
% 31.85/4.58  #    Negative unit clauses             : 0
% 31.85/4.58  #    Non-unit-clauses                  : 470
% 31.85/4.58  # Current number of unprocessed clauses: 447129
% 31.85/4.58  # ...number of literals in the above   : 456384
% 31.85/4.58  # Current number of archived formulas  : 0
% 31.85/4.58  # Current number of archived clauses   : 60
% 31.85/4.58  # Clause-clause subsumption calls (NU) : 37490
% 31.85/4.58  # Rec. Clause-clause subsumption calls : 31865
% 31.85/4.58  # Non-unit clause-clause subsumptions  : 0
% 31.85/4.58  # Unit Clause-clause subsumption calls : 8709
% 31.85/4.58  # Rewrite failures with RHS unbound    : 0
% 31.85/4.58  # BW rewrite match attempts            : 265411
% 31.85/4.58  # BW rewrite match successes           : 40
% 31.85/4.58  # Condensation attempts                : 0
% 31.85/4.58  # Condensation successes               : 0
% 31.85/4.58  # Termbank termtop insertions          : 7725057
% 31.85/4.58  
% 31.85/4.58  # -------------------------------------------------
% 31.85/4.58  # User time                : 3.697 s
% 31.85/4.58  # System time              : 0.249 s
% 31.85/4.58  # Total time               : 3.946 s
% 31.85/4.58  # Maximum resident set size: 1632 pages
% 31.85/4.58  
% 31.85/4.58  # -------------------------------------------------
% 31.85/4.58  # User time                : 3.699 s
% 31.85/4.58  # System time              : 0.250 s
% 31.85/4.58  # Total time               : 3.949 s
% 31.85/4.58  # Maximum resident set size: 1692 pages
% 31.85/4.58  % E---3.1 exiting
%------------------------------------------------------------------------------