TSTP Solution File: LCL059-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL059-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n013.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 18:23:36 EDT 2023

% Result   : Unsatisfiable 11.69s 1.94s
% Output   : CNFRefutation 11.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   35 (  16 unt;   0 nHn;  13 RR)
%            Number of literals    :   62 (   0 equ;  29 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   84 (  15 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
    ( is_a_theorem(X2)
    | ~ is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X1) ),
    file('/export/starexec/sandbox2/tmp/tmp.bEVNItGffk/E---3.1_24892.p',condensed_detachment) ).

cnf(cn_1,axiom,
    is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
    file('/export/starexec/sandbox2/tmp/tmp.bEVNItGffk/E---3.1_24892.p',cn_1) ).

cnf(cn_3,axiom,
    is_a_theorem(implies(X1,implies(not(X1),X2))),
    file('/export/starexec/sandbox2/tmp/tmp.bEVNItGffk/E---3.1_24892.p',cn_3) ).

cnf(cn_2,axiom,
    is_a_theorem(implies(implies(not(X1),X1),X1)),
    file('/export/starexec/sandbox2/tmp/tmp.bEVNItGffk/E---3.1_24892.p',cn_2) ).

cnf(prove_cn_49,negated_conjecture,
    ~ is_a_theorem(implies(implies(not(a),not(b)),implies(b,a))),
    file('/export/starexec/sandbox2/tmp/tmp.bEVNItGffk/E---3.1_24892.p',prove_cn_49) ).

cnf(c_0_5,axiom,
    ( is_a_theorem(X2)
    | ~ is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X1) ),
    condensed_detachment ).

cnf(c_0_6,axiom,
    is_a_theorem(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3)))),
    cn_1 ).

cnf(c_0_7,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
    | ~ is_a_theorem(implies(X3,X1)) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(X3,X2))
    | ~ is_a_theorem(implies(X1,X3)) ),
    inference(spm,[status(thm)],[c_0_5,c_0_7]) ).

cnf(c_0_9,axiom,
    is_a_theorem(implies(X1,implies(not(X1),X2))),
    cn_3 ).

cnf(c_0_10,plain,
    ( is_a_theorem(implies(X1,implies(not(X2),X3)))
    | ~ is_a_theorem(implies(X1,X2)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_11,axiom,
    is_a_theorem(implies(implies(not(X1),X1),X1)),
    cn_2 ).

cnf(c_0_12,plain,
    ( is_a_theorem(implies(not(X1),X2))
    | ~ is_a_theorem(implies(X3,X1))
    | ~ is_a_theorem(X3) ),
    inference(spm,[status(thm)],[c_0_5,c_0_10]) ).

cnf(c_0_13,plain,
    ( is_a_theorem(implies(X1,implies(not(X2),X3)))
    | ~ is_a_theorem(implies(X1,X4))
    | ~ is_a_theorem(implies(X4,X2)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_10]) ).

cnf(c_0_14,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(X1,implies(not(X2),X2))) ),
    inference(spm,[status(thm)],[c_0_8,c_0_11]) ).

cnf(c_0_15,plain,
    ( is_a_theorem(implies(X1,implies(X2,X3)))
    | ~ is_a_theorem(implies(X1,implies(X4,X3)))
    | ~ is_a_theorem(implies(X2,X4)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_7]) ).

cnf(c_0_16,plain,
    ( is_a_theorem(implies(not(implies(X1,X2)),X3))
    | ~ is_a_theorem(implies(X4,X2))
    | ~ is_a_theorem(implies(X1,X4)) ),
    inference(spm,[status(thm)],[c_0_12,c_0_7]) ).

cnf(c_0_17,plain,
    ( is_a_theorem(implies(X1,implies(not(X2),X3)))
    | ~ is_a_theorem(implies(implies(not(X1),X4),X2)) ),
    inference(spm,[status(thm)],[c_0_13,c_0_9]) ).

cnf(c_0_18,plain,
    is_a_theorem(implies(implies(not(implies(not(X1),X1)),implies(not(X1),X1)),X1)),
    inference(spm,[status(thm)],[c_0_14,c_0_11]) ).

cnf(c_0_19,plain,
    ( is_a_theorem(implies(implies(X1,X2),X2))
    | ~ is_a_theorem(implies(not(X2),X1)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_7]) ).

cnf(c_0_20,plain,
    ( is_a_theorem(implies(X1,implies(X2,X3)))
    | ~ is_a_theorem(implies(X2,not(X1))) ),
    inference(spm,[status(thm)],[c_0_15,c_0_9]) ).

cnf(c_0_21,plain,
    ( is_a_theorem(implies(not(implies(X1,X2)),X3))
    | ~ is_a_theorem(implies(X1,implies(not(X2),X2))) ),
    inference(spm,[status(thm)],[c_0_16,c_0_11]) ).

cnf(c_0_22,plain,
    is_a_theorem(implies(implies(not(X1),X1),implies(not(X1),X2))),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_23,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(X1,implies(X3,X2)))
    | ~ is_a_theorem(implies(not(X2),X3)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_19]) ).

cnf(c_0_24,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(not(X2),not(X1))) ),
    inference(spm,[status(thm)],[c_0_14,c_0_20]) ).

cnf(c_0_25,plain,
    is_a_theorem(implies(not(implies(implies(not(X1),X1),X1)),X2)),
    inference(spm,[status(thm)],[c_0_21,c_0_22]) ).

cnf(c_0_26,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(X1,X3)))
    | ~ is_a_theorem(implies(not(implies(X1,X3)),implies(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_23,c_0_6]) ).

cnf(c_0_27,plain,
    is_a_theorem(implies(X1,implies(implies(not(X2),X2),X2))),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_28,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(not(X3),X4)))
    | ~ is_a_theorem(implies(implies(implies(X2,X5),implies(X1,X5)),X3)) ),
    inference(spm,[status(thm)],[c_0_13,c_0_6]) ).

cnf(c_0_29,plain,
    is_a_theorem(implies(implies(X1,implies(not(X2),X2)),implies(X1,X2))),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_30,plain,
    is_a_theorem(implies(implies(not(X1),X2),implies(not(implies(implies(X2,X1),X1)),X3))),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_31,plain,
    is_a_theorem(implies(implies(not(X1),X2),implies(implies(X2,X1),X1))),
    inference(spm,[status(thm)],[c_0_14,c_0_30]) ).

cnf(c_0_32,negated_conjecture,
    ~ is_a_theorem(implies(implies(not(a),not(b)),implies(b,a))),
    prove_cn_49 ).

cnf(c_0_33,plain,
    ( is_a_theorem(implies(implies(not(X1),X2),implies(X3,X1)))
    | ~ is_a_theorem(implies(X3,implies(X2,X1))) ),
    inference(spm,[status(thm)],[c_0_15,c_0_31]) ).

cnf(c_0_34,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_9])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : LCL059-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.12  % Command    : run_E %s %d THM
% 0.11/0.32  % Computer : n013.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 2400
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Mon Oct  2 12:07:29 EDT 2023
% 0.17/0.33  % CPUTime    : 
% 0.17/0.44  Running first-order model finding
% 0.17/0.44  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.bEVNItGffk/E---3.1_24892.p
% 11.69/1.94  # Version: 3.1pre001
% 11.69/1.94  # Preprocessing class: FSSSSMSSSSSNFFN.
% 11.69/1.94  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.69/1.94  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 11.69/1.94  # Starting new_bool_3 with 300s (1) cores
% 11.69/1.94  # Starting new_bool_1 with 300s (1) cores
% 11.69/1.94  # Starting sh5l with 300s (1) cores
% 11.69/1.94  # new_bool_1 with pid 24971 completed with status 0
% 11.69/1.94  # Result found by new_bool_1
% 11.69/1.94  # Preprocessing class: FSSSSMSSSSSNFFN.
% 11.69/1.94  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.69/1.94  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 11.69/1.94  # Starting new_bool_3 with 300s (1) cores
% 11.69/1.94  # Starting new_bool_1 with 300s (1) cores
% 11.69/1.94  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 11.69/1.94  # Search class: FHUNS-FFSF21-MFFFFFNN
% 11.69/1.94  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 11.69/1.94  # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 181s (1) cores
% 11.69/1.94  # H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with pid 24976 completed with status 0
% 11.69/1.94  # Result found by H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V
% 11.69/1.94  # Preprocessing class: FSSSSMSSSSSNFFN.
% 11.69/1.94  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 11.69/1.94  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 11.69/1.94  # Starting new_bool_3 with 300s (1) cores
% 11.69/1.94  # Starting new_bool_1 with 300s (1) cores
% 11.69/1.94  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 11.69/1.94  # Search class: FHUNS-FFSF21-MFFFFFNN
% 11.69/1.94  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 11.69/1.94  # Starting H----_011_C07_F1_PI_AE_Q4_CS_SP_PS_S0V with 181s (1) cores
% 11.69/1.94  # Preprocessing time       : 0.001 s
% 11.69/1.94  # Presaturation interreduction done
% 11.69/1.94  
% 11.69/1.94  # Proof found!
% 11.69/1.94  # SZS status Unsatisfiable
% 11.69/1.94  # SZS output start CNFRefutation
% See solution above
% 11.69/1.94  # Parsed axioms                        : 5
% 11.69/1.94  # Removed by relevancy pruning/SinE    : 0
% 11.69/1.94  # Initial clauses                      : 5
% 11.69/1.94  # Removed in clause preprocessing      : 0
% 11.69/1.94  # Initial clauses in saturation        : 5
% 11.69/1.94  # Processed clauses                    : 13582
% 11.69/1.94  # ...of these trivial                  : 461
% 11.69/1.94  # ...subsumed                          : 11928
% 11.69/1.94  # ...remaining for further processing  : 1193
% 11.69/1.94  # Other redundant clauses eliminated   : 0
% 11.69/1.94  # Clauses deleted for lack of memory   : 0
% 11.69/1.94  # Backward-subsumed                    : 17
% 11.69/1.94  # Backward-rewritten                   : 1
% 11.69/1.94  # Generated clauses                    : 115456
% 11.69/1.94  # ...of the previous two non-redundant : 106952
% 11.69/1.94  # ...aggressively subsumed             : 0
% 11.69/1.94  # Contextual simplify-reflections      : 0
% 11.69/1.94  # Paramodulations                      : 115456
% 11.69/1.94  # Factorizations                       : 0
% 11.69/1.94  # NegExts                              : 0
% 11.69/1.94  # Equation resolutions                 : 0
% 11.69/1.94  # Total rewrite steps                  : 9570
% 11.69/1.94  # Propositional unsat checks           : 0
% 11.69/1.94  #    Propositional check models        : 0
% 11.69/1.94  #    Propositional check unsatisfiable : 0
% 11.69/1.94  #    Propositional clauses             : 0
% 11.69/1.94  #    Propositional clauses after purity: 0
% 11.69/1.94  #    Propositional unsat core size     : 0
% 11.69/1.94  #    Propositional preprocessing time  : 0.000
% 11.69/1.94  #    Propositional encoding time       : 0.000
% 11.69/1.94  #    Propositional solver time         : 0.000
% 11.69/1.94  #    Success case prop preproc time    : 0.000
% 11.69/1.94  #    Success case prop encoding time   : 0.000
% 11.69/1.94  #    Success case prop solver time     : 0.000
% 11.69/1.94  # Current number of processed clauses  : 1170
% 11.69/1.94  #    Positive orientable unit clauses  : 240
% 11.69/1.94  #    Positive unorientable unit clauses: 0
% 11.69/1.94  #    Negative unit clauses             : 19
% 11.69/1.94  #    Non-unit-clauses                  : 911
% 11.69/1.94  # Current number of unprocessed clauses: 93173
% 11.69/1.94  # ...number of literals in the above   : 279340
% 11.69/1.94  # Current number of archived formulas  : 0
% 11.69/1.94  # Current number of archived clauses   : 23
% 11.69/1.94  # Clause-clause subsumption calls (NU) : 267954
% 11.69/1.94  # Rec. Clause-clause subsumption calls : 246212
% 11.69/1.94  # Non-unit clause-clause subsumptions  : 11744
% 11.69/1.94  # Unit Clause-clause subsumption calls : 4435
% 11.69/1.94  # Rewrite failures with RHS unbound    : 0
% 11.69/1.94  # BW rewrite match attempts            : 28783
% 11.69/1.94  # BW rewrite match successes           : 1
% 11.69/1.94  # Condensation attempts                : 0
% 11.69/1.94  # Condensation successes               : 0
% 11.69/1.94  # Termbank termtop insertions          : 1782433
% 11.69/1.94  
% 11.69/1.94  # -------------------------------------------------
% 11.69/1.94  # User time                : 1.412 s
% 11.69/1.94  # System time              : 0.053 s
% 11.69/1.94  # Total time               : 1.466 s
% 11.69/1.94  # Maximum resident set size: 1648 pages
% 11.69/1.94  
% 11.69/1.94  # -------------------------------------------------
% 11.69/1.94  # User time                : 1.414 s
% 11.69/1.94  # System time              : 0.054 s
% 11.69/1.94  # Total time               : 1.468 s
% 11.69/1.94  # Maximum resident set size: 1672 pages
% 11.69/1.94  % E---3.1 exiting
%------------------------------------------------------------------------------