TSTP Solution File: LCL294-3 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL294-3 : TPTP v8.1.2. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n015.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 18:24:29 EDT 2023

% Result   : Unsatisfiable 0.16s 0.44s
% Output   : CNFRefutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   40 (  28 unt;   0 nHn;  17 RR)
%            Number of literals    :   54 (   7 equ;  18 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   2 con; 0-2 aty)
%            Number of variables   :   64 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_1,axiom,
    ( theorem(X1)
    | ~ axiom(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.2qtTae4aan/E---3.1_20358.p',rule_1) ).

cnf(axiom_1_4,axiom,
    axiom(implies(or(X1,X2),or(X2,X1))),
    file('/export/starexec/sandbox/tmp/tmp.2qtTae4aan/E---3.1_20358.p',axiom_1_4) ).

cnf(rule_2,axiom,
    ( theorem(X1)
    | ~ theorem(implies(X2,X1))
    | ~ theorem(X2) ),
    file('/export/starexec/sandbox/tmp/tmp.2qtTae4aan/E---3.1_20358.p',rule_2) ).

cnf(implies_definition,axiom,
    implies(X1,X2) = or(not(X1),X2),
    file('/export/starexec/sandbox/tmp/tmp.2qtTae4aan/E---3.1_20358.p',implies_definition) ).

cnf(axiom_1_2,axiom,
    axiom(implies(or(X1,X1),X1)),
    file('/export/starexec/sandbox/tmp/tmp.2qtTae4aan/E---3.1_20358.p',axiom_1_2) ).

cnf(and_defn,axiom,
    and(X1,X2) = not(or(not(X1),not(X2))),
    file('/export/starexec/sandbox/tmp/tmp.2qtTae4aan/E---3.1_20358.p',and_defn) ).

cnf(axiom_1_5,axiom,
    axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
    file('/export/starexec/sandbox/tmp/tmp.2qtTae4aan/E---3.1_20358.p',axiom_1_5) ).

cnf(axiom_1_3,axiom,
    axiom(implies(X1,or(X2,X1))),
    file('/export/starexec/sandbox/tmp/tmp.2qtTae4aan/E---3.1_20358.p',axiom_1_3) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(equivalent(implies(p,q),or(not(p),q))),
    file('/export/starexec/sandbox/tmp/tmp.2qtTae4aan/E---3.1_20358.p',prove_this) ).

cnf(equivalent_defn,axiom,
    equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
    file('/export/starexec/sandbox/tmp/tmp.2qtTae4aan/E---3.1_20358.p',equivalent_defn) ).

cnf(c_0_10,axiom,
    ( theorem(X1)
    | ~ axiom(X1) ),
    rule_1 ).

cnf(c_0_11,axiom,
    axiom(implies(or(X1,X2),or(X2,X1))),
    axiom_1_4 ).

cnf(c_0_12,axiom,
    ( theorem(X1)
    | ~ theorem(implies(X2,X1))
    | ~ theorem(X2) ),
    rule_2 ).

cnf(c_0_13,plain,
    theorem(implies(or(X1,X2),or(X2,X1))),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_14,plain,
    ( theorem(or(X1,X2))
    | ~ theorem(or(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,axiom,
    implies(X1,X2) = or(not(X1),X2),
    implies_definition ).

cnf(c_0_16,axiom,
    axiom(implies(or(X1,X1),X1)),
    axiom_1_2 ).

cnf(c_0_17,plain,
    ( theorem(or(X1,not(X2)))
    | ~ theorem(implies(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,plain,
    theorem(implies(or(X1,X1),X1)),
    inference(spm,[status(thm)],[c_0_10,c_0_16]) ).

cnf(c_0_19,axiom,
    and(X1,X2) = not(or(not(X1),not(X2))),
    and_defn ).

cnf(c_0_20,axiom,
    axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
    axiom_1_5 ).

cnf(c_0_21,plain,
    ( theorem(implies(X1,not(X2)))
    | ~ theorem(implies(X2,not(X1))) ),
    inference(spm,[status(thm)],[c_0_17,c_0_15]) ).

cnf(c_0_22,plain,
    theorem(implies(implies(X1,not(X1)),not(X1))),
    inference(spm,[status(thm)],[c_0_18,c_0_15]) ).

cnf(c_0_23,plain,
    not(implies(X1,not(X2))) = and(X1,X2),
    inference(rw,[status(thm)],[c_0_19,c_0_15]) ).

cnf(c_0_24,plain,
    theorem(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))),
    inference(spm,[status(thm)],[c_0_10,c_0_20]) ).

cnf(c_0_25,plain,
    theorem(implies(X1,and(X1,X1))),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_23]) ).

cnf(c_0_26,plain,
    ( theorem(or(X1,or(X2,X3)))
    | ~ theorem(or(X2,or(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_12,c_0_24]) ).

cnf(c_0_27,axiom,
    axiom(implies(X1,or(X2,X1))),
    axiom_1_3 ).

cnf(c_0_28,negated_conjecture,
    ~ theorem(equivalent(implies(p,q),or(not(p),q))),
    prove_this ).

cnf(c_0_29,plain,
    ( theorem(and(X1,X1))
    | ~ theorem(X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_25]) ).

cnf(c_0_30,axiom,
    equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
    equivalent_defn ).

cnf(c_0_31,plain,
    ( theorem(or(X1,implies(X2,X3)))
    | ~ theorem(implies(X2,or(X1,X3))) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_15]),c_0_15]) ).

cnf(c_0_32,plain,
    theorem(implies(X1,or(X2,X1))),
    inference(spm,[status(thm)],[c_0_10,c_0_27]) ).

cnf(c_0_33,negated_conjecture,
    ~ theorem(equivalent(implies(p,q),implies(p,q))),
    inference(spm,[status(thm)],[c_0_28,c_0_15]) ).

cnf(c_0_34,plain,
    ( theorem(equivalent(X1,X1))
    | ~ theorem(implies(X1,X1)) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]) ).

cnf(c_0_35,plain,
    ( theorem(X1)
    | ~ theorem(or(X1,X1)) ),
    inference(spm,[status(thm)],[c_0_12,c_0_18]) ).

cnf(c_0_36,plain,
    theorem(or(X1,implies(X2,X2))),
    inference(spm,[status(thm)],[c_0_31,c_0_32]) ).

cnf(c_0_37,negated_conjecture,
    ~ theorem(implies(implies(p,q),implies(p,q))),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_38,plain,
    theorem(implies(X1,X1)),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

cnf(c_0_39,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_38])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10  % Problem    : LCL294-3 : TPTP v8.1.2. Released v2.3.0.
% 0.10/0.11  % Command    : run_E %s %d THM
% 0.10/0.32  % Computer : n015.cluster.edu
% 0.10/0.32  % Model    : x86_64 x86_64
% 0.10/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32  % Memory   : 8042.1875MB
% 0.10/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32  % CPULimit   : 2400
% 0.10/0.32  % WCLimit    : 300
% 0.10/0.32  % DateTime   : Mon Oct  2 12:24:01 EDT 2023
% 0.10/0.32  % CPUTime    : 
% 0.16/0.43  Running first-order model finding
% 0.16/0.43  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.2qtTae4aan/E---3.1_20358.p
% 0.16/0.44  # Version: 3.1pre001
% 0.16/0.44  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # Starting new_bool_1 with 300s (1) cores
% 0.16/0.44  # Starting sh5l with 300s (1) cores
% 0.16/0.44  # new_bool_3 with pid 20436 completed with status 0
% 0.16/0.44  # Result found by new_bool_3
% 0.16/0.44  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.44  # Search class: FHUSM-FFSF21-MFFFFFNN
% 0.16/0.44  # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 0.16/0.44  # G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with pid 20439 completed with status 0
% 0.16/0.44  # Result found by G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN
% 0.16/0.44  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.16/0.44  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.16/0.44  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.16/0.44  # Starting new_bool_3 with 300s (1) cores
% 0.16/0.44  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.16/0.44  # Search class: FHUSM-FFSF21-MFFFFFNN
% 0.16/0.44  # Scheduled 11 strats onto 1 cores with 300 seconds (300 total)
% 0.16/0.44  # Starting G-E--_208_C12_11_nc_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 28s (1) cores
% 0.16/0.44  # Preprocessing time       : 0.001 s
% 0.16/0.44  # Presaturation interreduction done
% 0.16/0.44  
% 0.16/0.44  # Proof found!
% 0.16/0.44  # SZS status Unsatisfiable
% 0.16/0.44  # SZS output start CNFRefutation
% See solution above
% 0.16/0.44  # Parsed axioms                        : 11
% 0.16/0.44  # Removed by relevancy pruning/SinE    : 0
% 0.16/0.44  # Initial clauses                      : 11
% 0.16/0.44  # Removed in clause preprocessing      : 0
% 0.16/0.44  # Initial clauses in saturation        : 11
% 0.16/0.44  # Processed clauses                    : 132
% 0.16/0.44  # ...of these trivial                  : 7
% 0.16/0.44  # ...subsumed                          : 38
% 0.16/0.44  # ...remaining for further processing  : 87
% 0.16/0.44  # Other redundant clauses eliminated   : 0
% 0.16/0.44  # Clauses deleted for lack of memory   : 0
% 0.16/0.44  # Backward-subsumed                    : 0
% 0.16/0.44  # Backward-rewritten                   : 2
% 0.16/0.44  # Generated clauses                    : 212
% 0.16/0.44  # ...of the previous two non-redundant : 191
% 0.16/0.44  # ...aggressively subsumed             : 0
% 0.16/0.44  # Contextual simplify-reflections      : 0
% 0.16/0.44  # Paramodulations                      : 212
% 0.16/0.44  # Factorizations                       : 0
% 0.16/0.44  # NegExts                              : 0
% 0.16/0.44  # Equation resolutions                 : 0
% 0.16/0.44  # Total rewrite steps                  : 48
% 0.16/0.44  # Propositional unsat checks           : 0
% 0.16/0.44  #    Propositional check models        : 0
% 0.16/0.44  #    Propositional check unsatisfiable : 0
% 0.16/0.44  #    Propositional clauses             : 0
% 0.16/0.44  #    Propositional clauses after purity: 0
% 0.16/0.44  #    Propositional unsat core size     : 0
% 0.16/0.44  #    Propositional preprocessing time  : 0.000
% 0.16/0.44  #    Propositional encoding time       : 0.000
% 0.16/0.44  #    Propositional solver time         : 0.000
% 0.16/0.44  #    Success case prop preproc time    : 0.000
% 0.16/0.44  #    Success case prop encoding time   : 0.000
% 0.16/0.44  #    Success case prop solver time     : 0.000
% 0.16/0.44  # Current number of processed clauses  : 74
% 0.16/0.44  #    Positive orientable unit clauses  : 30
% 0.16/0.44  #    Positive unorientable unit clauses: 0
% 0.16/0.44  #    Negative unit clauses             : 5
% 0.16/0.44  #    Non-unit-clauses                  : 39
% 0.16/0.44  # Current number of unprocessed clauses: 80
% 0.16/0.44  # ...number of literals in the above   : 134
% 0.16/0.44  # Current number of archived formulas  : 0
% 0.16/0.44  # Current number of archived clauses   : 13
% 0.16/0.44  # Clause-clause subsumption calls (NU) : 384
% 0.16/0.44  # Rec. Clause-clause subsumption calls : 345
% 0.16/0.44  # Non-unit clause-clause subsumptions  : 38
% 0.16/0.44  # Unit Clause-clause subsumption calls : 26
% 0.16/0.44  # Rewrite failures with RHS unbound    : 0
% 0.16/0.44  # BW rewrite match attempts            : 42
% 0.16/0.44  # BW rewrite match successes           : 2
% 0.16/0.44  # Condensation attempts                : 0
% 0.16/0.44  # Condensation successes               : 0
% 0.16/0.44  # Termbank termtop insertions          : 2912
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.005 s
% 0.16/0.44  # System time              : 0.003 s
% 0.16/0.44  # Total time               : 0.008 s
% 0.16/0.44  # Maximum resident set size: 1648 pages
% 0.16/0.44  
% 0.16/0.44  # -------------------------------------------------
% 0.16/0.44  # User time                : 0.006 s
% 0.16/0.44  # System time              : 0.005 s
% 0.16/0.44  # Total time               : 0.011 s
% 0.16/0.44  # Maximum resident set size: 1680 pages
% 0.16/0.44  % E---3.1 exiting
%------------------------------------------------------------------------------