TSTP Solution File: SYN575-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : SYN575-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n011.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 1.09s 0.60s
% Output   : CNFRefutation 1.09s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   33 (  16 unt;   4 nHn;  24 RR)
%            Number of literals    :   75 (   0 equ;  42 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    4 (   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   :   49 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(p3_16,negated_conjecture,
    ( p3(X1,X2)
    | ~ p3(X3,X1)
    | ~ p3(X3,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.OcdQpI3qPP/E---3.1_17292.p',p3_16) ).

cnf(p3_3,negated_conjecture,
    p3(X1,X1),
    file('/export/starexec/sandbox/tmp/tmp.OcdQpI3qPP/E---3.1_17292.p',p3_3) ).

cnf(p9_19,negated_conjecture,
    ( p9(X1,X2)
    | ~ p7(X3,X1)
    | ~ p9(X3,X4)
    | ~ p3(X4,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.OcdQpI3qPP/E---3.1_17292.p',p9_19) ).

cnf(p9_10,negated_conjecture,
    ( p9(X1,f6(c14))
    | ~ p9(X1,c13) ),
    file('/export/starexec/sandbox/tmp/tmp.OcdQpI3qPP/E---3.1_17292.p',p9_10) ).

cnf(p3_8,negated_conjecture,
    p3(f6(f5(X1)),f6(X1)),
    file('/export/starexec/sandbox/tmp/tmp.OcdQpI3qPP/E---3.1_17292.p',p3_8) ).

cnf(p9_21,negated_conjecture,
    ( p9(f8(X1,X2),X1)
    | p9(f8(X1,X2),f6(X2))
    | ~ p11(X3,c15)
    | ~ p9(c12,X1)
    | ~ p2(X2,f5(X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.OcdQpI3qPP/E---3.1_17292.p',p9_21) ).

cnf(p2_4,negated_conjecture,
    p2(X1,X1),
    file('/export/starexec/sandbox/tmp/tmp.OcdQpI3qPP/E---3.1_17292.p',p2_4) ).

cnf(p11_6,negated_conjecture,
    p11(c14,c15),
    file('/export/starexec/sandbox/tmp/tmp.OcdQpI3qPP/E---3.1_17292.p',p11_6) ).

cnf(p9_5,negated_conjecture,
    p9(c12,c13),
    file('/export/starexec/sandbox/tmp/tmp.OcdQpI3qPP/E---3.1_17292.p',p9_5) ).

cnf(p7_2,negated_conjecture,
    p7(X1,X1),
    file('/export/starexec/sandbox/tmp/tmp.OcdQpI3qPP/E---3.1_17292.p',p7_2) ).

cnf(not_p11_22,negated_conjecture,
    ( ~ p11(X1,c15)
    | ~ p9(c12,X2)
    | ~ p2(X3,f5(X1))
    | ~ p9(f8(X2,X3),X2)
    | ~ p9(f8(X2,X3),f6(X3)) ),
    file('/export/starexec/sandbox/tmp/tmp.OcdQpI3qPP/E---3.1_17292.p',not_p11_22) ).

cnf(c_0_11,negated_conjecture,
    ( p3(X1,X2)
    | ~ p3(X3,X1)
    | ~ p3(X3,X2) ),
    p3_16 ).

cnf(c_0_12,negated_conjecture,
    p3(X1,X1),
    p3_3 ).

cnf(c_0_13,negated_conjecture,
    ( p9(X1,X2)
    | ~ p7(X3,X1)
    | ~ p9(X3,X4)
    | ~ p3(X4,X2) ),
    p9_19 ).

cnf(c_0_14,negated_conjecture,
    ( p9(X1,f6(c14))
    | ~ p9(X1,c13) ),
    p9_10 ).

cnf(c_0_15,negated_conjecture,
    ( p3(X1,X2)
    | ~ p3(X2,X1) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,negated_conjecture,
    p3(f6(f5(X1)),f6(X1)),
    p3_8 ).

cnf(c_0_17,negated_conjecture,
    ( p9(f8(X1,X2),X1)
    | p9(f8(X1,X2),f6(X2))
    | ~ p11(X3,c15)
    | ~ p9(c12,X1)
    | ~ p2(X2,f5(X3)) ),
    p9_21 ).

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

cnf(c_0_19,negated_conjecture,
    ( p9(X1,X2)
    | ~ p9(X3,c13)
    | ~ p3(f6(c14),X2)
    | ~ p7(X3,X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_20,negated_conjecture,
    p3(f6(X1),f6(f5(X1))),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,negated_conjecture,
    ( p9(f8(X1,f5(X2)),f6(f5(X2)))
    | p9(f8(X1,f5(X2)),X1)
    | ~ p11(X2,c15)
    | ~ p9(c12,X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_22,negated_conjecture,
    p11(c14,c15),
    p11_6 ).

cnf(c_0_23,negated_conjecture,
    ( p9(X1,f6(f5(c14)))
    | ~ p9(X2,c13)
    | ~ p7(X2,X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_24,negated_conjecture,
    p9(c12,c13),
    p9_5 ).

cnf(c_0_25,negated_conjecture,
    ( p9(f8(X1,f5(c14)),f6(f5(c14)))
    | p9(f8(X1,f5(c14)),X1)
    | ~ p9(c12,X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,negated_conjecture,
    ( p9(X1,f6(f5(c14)))
    | ~ p7(c12,X1) ),
    inference(spm,[status(thm)],[c_0_23,c_0_24]) ).

cnf(c_0_27,negated_conjecture,
    p7(X1,X1),
    p7_2 ).

cnf(c_0_28,negated_conjecture,
    ( ~ p11(X1,c15)
    | ~ p9(c12,X2)
    | ~ p2(X3,f5(X1))
    | ~ p9(f8(X2,X3),X2)
    | ~ p9(f8(X2,X3),f6(X3)) ),
    not_p11_22 ).

cnf(c_0_29,negated_conjecture,
    p9(f8(f6(f5(c14)),f5(c14)),f6(f5(c14))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27])]) ).

cnf(c_0_30,negated_conjecture,
    ( ~ p11(X1,c15)
    | ~ p9(c12,f6(f5(c14)))
    | ~ p2(f5(c14),f5(X1)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_29])]) ).

cnf(c_0_31,negated_conjecture,
    ~ p9(c12,f6(f5(c14))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_18]),c_0_22])]) ).

cnf(c_0_32,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_26]),c_0_27])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem    : SYN575-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n011.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   : 2400
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon Oct  2 18:30:38 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.21/0.47  Running first-order model finding
% 0.21/0.47  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.OcdQpI3qPP/E---3.1_17292.p
% 1.09/0.60  # Version: 3.1pre001
% 1.09/0.60  # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.09/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.09/0.60  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.09/0.60  # Starting new_bool_3 with 300s (1) cores
% 1.09/0.60  # Starting new_bool_1 with 300s (1) cores
% 1.09/0.60  # Starting sh5l with 300s (1) cores
% 1.09/0.60  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 17369 completed with status 0
% 1.09/0.60  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.09/0.60  # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.09/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.09/0.60  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.09/0.60  # No SInE strategy applied
% 1.09/0.60  # Search class: FGHNM-FFSF21-SFFFFFNN
% 1.09/0.60  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.09/0.60  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 1.09/0.60  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.09/0.60  # Starting new_bool_3 with 136s (1) cores
% 1.09/0.60  # Starting new_bool_1 with 136s (1) cores
% 1.09/0.60  # Starting sh5l with 136s (1) cores
% 1.09/0.60  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 17374 completed with status 0
% 1.09/0.60  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 1.09/0.60  # Preprocessing class: FSMSSMSSSSSNFFN.
% 1.09/0.60  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 1.09/0.60  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 1.09/0.60  # No SInE strategy applied
% 1.09/0.60  # Search class: FGHNM-FFSF21-SFFFFFNN
% 1.09/0.60  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 1.09/0.60  # Starting SAT001_MinMin_p005000_rr_RG with 811s (1) cores
% 1.09/0.60  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 1.09/0.60  # Preprocessing time       : 0.001 s
% 1.09/0.60  # Presaturation interreduction done
% 1.09/0.60  
% 1.09/0.60  # Proof found!
% 1.09/0.60  # SZS status Unsatisfiable
% 1.09/0.60  # SZS output start CNFRefutation
% See solution above
% 1.09/0.60  # Parsed axioms                        : 22
% 1.09/0.60  # Removed by relevancy pruning/SinE    : 0
% 1.09/0.60  # Initial clauses                      : 22
% 1.09/0.60  # Removed in clause preprocessing      : 0
% 1.09/0.60  # Initial clauses in saturation        : 22
% 1.09/0.60  # Processed clauses                    : 1671
% 1.09/0.60  # ...of these trivial                  : 19
% 1.09/0.60  # ...subsumed                          : 1133
% 1.09/0.60  # ...remaining for further processing  : 519
% 1.09/0.60  # Other redundant clauses eliminated   : 0
% 1.09/0.60  # Clauses deleted for lack of memory   : 0
% 1.09/0.60  # Backward-subsumed                    : 1
% 1.09/0.60  # Backward-rewritten                   : 0
% 1.09/0.60  # Generated clauses                    : 7138
% 1.09/0.60  # ...of the previous two non-redundant : 6283
% 1.09/0.60  # ...aggressively subsumed             : 0
% 1.09/0.60  # Contextual simplify-reflections      : 0
% 1.09/0.60  # Paramodulations                      : 7138
% 1.09/0.60  # Factorizations                       : 0
% 1.09/0.60  # NegExts                              : 0
% 1.09/0.60  # Equation resolutions                 : 0
% 1.09/0.60  # Total rewrite steps                  : 886
% 1.09/0.60  # Propositional unsat checks           : 0
% 1.09/0.60  #    Propositional check models        : 0
% 1.09/0.60  #    Propositional check unsatisfiable : 0
% 1.09/0.60  #    Propositional clauses             : 0
% 1.09/0.60  #    Propositional clauses after purity: 0
% 1.09/0.60  #    Propositional unsat core size     : 0
% 1.09/0.60  #    Propositional preprocessing time  : 0.000
% 1.09/0.60  #    Propositional encoding time       : 0.000
% 1.09/0.60  #    Propositional solver time         : 0.000
% 1.09/0.60  #    Success case prop preproc time    : 0.000
% 1.09/0.60  #    Success case prop encoding time   : 0.000
% 1.09/0.60  #    Success case prop solver time     : 0.000
% 1.09/0.60  # Current number of processed clauses  : 496
% 1.09/0.60  #    Positive orientable unit clauses  : 44
% 1.09/0.60  #    Positive unorientable unit clauses: 0
% 1.09/0.60  #    Negative unit clauses             : 1
% 1.09/0.60  #    Non-unit-clauses                  : 451
% 1.09/0.60  # Current number of unprocessed clauses: 4655
% 1.09/0.60  # ...number of literals in the above   : 11611
% 1.09/0.60  # Current number of archived formulas  : 0
% 1.09/0.60  # Current number of archived clauses   : 23
% 1.09/0.60  # Clause-clause subsumption calls (NU) : 44252
% 1.09/0.60  # Rec. Clause-clause subsumption calls : 32508
% 1.09/0.60  # Non-unit clause-clause subsumptions  : 1133
% 1.09/0.60  # Unit Clause-clause subsumption calls : 57
% 1.09/0.60  # Rewrite failures with RHS unbound    : 0
% 1.09/0.60  # BW rewrite match attempts            : 150
% 1.09/0.60  # BW rewrite match successes           : 0
% 1.09/0.60  # Condensation attempts                : 0
% 1.09/0.60  # Condensation successes               : 0
% 1.09/0.60  # Termbank termtop insertions          : 98618
% 1.09/0.60  
% 1.09/0.60  # -------------------------------------------------
% 1.09/0.60  # User time                : 0.101 s
% 1.09/0.60  # System time              : 0.005 s
% 1.09/0.60  # Total time               : 0.106 s
% 1.09/0.60  # Maximum resident set size: 1656 pages
% 1.09/0.60  
% 1.09/0.60  # -------------------------------------------------
% 1.09/0.60  # User time                : 0.549 s
% 1.09/0.60  # System time              : 0.013 s
% 1.09/0.60  # Total time               : 0.561 s
% 1.09/0.60  # Maximum resident set size: 1692 pages
% 1.09/0.60  % E---3.1 exiting
%------------------------------------------------------------------------------