TSTP Solution File: LCL265-10 by E---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1
% Problem  : LCL265-10 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n017.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 18:12:15 EDT 2023

% Result   : Unsatisfiable 237.02s 31.16s
% Output   : CNFRefutation 237.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   51 (  51 unt;   0 nHn;   4 RR)
%            Number of literals    :   51 (  50 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   2 con; 0-4 aty)
%            Number of variables   :  102 (   7 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1_5,axiom,
    axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))) = true,
    file('/export/starexec/sandbox2/tmp/tmp.H6m4Xq13gi/E---3.1_16922.p',axiom_1_5) ).

cnf(implies_definition,axiom,
    implies(X1,X2) = or(not(X1),X2),
    file('/export/starexec/sandbox2/tmp/tmp.H6m4Xq13gi/E---3.1_16922.p',implies_definition) ).

cnf(rule_2,axiom,
    ifeq(theorem(implies(X1,X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.H6m4Xq13gi/E---3.1_16922.p',rule_2) ).

cnf(rule_1,axiom,
    ifeq(axiom(X1),true,theorem(X1),true) = true,
    file('/export/starexec/sandbox2/tmp/tmp.H6m4Xq13gi/E---3.1_16922.p',rule_1) ).

cnf(ifeq_axiom,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    file('/export/starexec/sandbox2/tmp/tmp.H6m4Xq13gi/E---3.1_16922.p',ifeq_axiom) ).

cnf(axiom_1_3,axiom,
    axiom(implies(X1,or(X2,X1))) = true,
    file('/export/starexec/sandbox2/tmp/tmp.H6m4Xq13gi/E---3.1_16922.p',axiom_1_3) ).

cnf(axiom_1_4,axiom,
    axiom(implies(or(X1,X2),or(X2,X1))) = true,
    file('/export/starexec/sandbox2/tmp/tmp.H6m4Xq13gi/E---3.1_16922.p',axiom_1_4) ).

cnf(axiom_1_6,axiom,
    axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) = true,
    file('/export/starexec/sandbox2/tmp/tmp.H6m4Xq13gi/E---3.1_16922.p',axiom_1_6) ).

cnf(equivalent_defn,axiom,
    equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
    file('/export/starexec/sandbox2/tmp/tmp.H6m4Xq13gi/E---3.1_16922.p',equivalent_defn) ).

cnf(and_defn,axiom,
    and(X1,X2) = not(or(not(X1),not(X2))),
    file('/export/starexec/sandbox2/tmp/tmp.H6m4Xq13gi/E---3.1_16922.p',and_defn) ).

cnf(prove_this,negated_conjecture,
    theorem(equivalent(p,not(not(p)))) != true,
    file('/export/starexec/sandbox2/tmp/tmp.H6m4Xq13gi/E---3.1_16922.p',prove_this) ).

cnf(c_0_11,axiom,
    axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))) = true,
    axiom_1_5 ).

cnf(c_0_12,axiom,
    implies(X1,X2) = or(not(X1),X2),
    implies_definition ).

cnf(c_0_13,axiom,
    ifeq(theorem(implies(X1,X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true) = true,
    rule_2 ).

cnf(c_0_14,axiom,
    ifeq(axiom(X1),true,theorem(X1),true) = true,
    rule_1 ).

cnf(c_0_15,plain,
    axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))) = true,
    inference(rw,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_16,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    ifeq_axiom ).

cnf(c_0_17,axiom,
    axiom(implies(X1,or(X2,X1))) = true,
    axiom_1_3 ).

cnf(c_0_18,axiom,
    axiom(implies(or(X1,X2),or(X2,X1))) = true,
    axiom_1_4 ).

cnf(c_0_19,plain,
    ifeq(theorem(or(not(X1),X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true) = true,
    inference(rw,[status(thm)],[c_0_13,c_0_12]) ).

cnf(c_0_20,plain,
    theorem(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]) ).

cnf(c_0_21,plain,
    axiom(or(not(X1),or(X2,X1))) = true,
    inference(rw,[status(thm)],[c_0_17,c_0_12]) ).

cnf(c_0_22,plain,
    axiom(or(not(or(X1,X2)),or(X2,X1))) = true,
    inference(rw,[status(thm)],[c_0_18,c_0_12]) ).

cnf(c_0_23,plain,
    ifeq(theorem(or(X1,or(X2,X3))),true,theorem(or(X2,or(X1,X3))),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_16]) ).

cnf(c_0_24,plain,
    theorem(or(not(X1),or(X2,X1))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_21]),c_0_16]) ).

cnf(c_0_25,axiom,
    axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) = true,
    axiom_1_6 ).

cnf(c_0_26,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_22]),c_0_16]) ).

cnf(c_0_27,plain,
    ifeq(theorem(or(not(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),X4)),true,theorem(X4),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_16]) ).

cnf(c_0_28,plain,
    theorem(or(X1,or(not(X2),X2))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_16]) ).

cnf(c_0_29,plain,
    axiom(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25,c_0_12]),c_0_12]),c_0_12]) ).

cnf(c_0_30,plain,
    ifeq(theorem(or(X1,X2)),true,theorem(or(X2,X1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_26]),c_0_16]) ).

cnf(c_0_31,plain,
    theorem(or(not(X1),X1)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_16]) ).

cnf(c_0_32,plain,
    theorem(or(not(or(not(X1),X2)),or(not(or(X3,X1)),or(X3,X2)))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_29]),c_0_16]) ).

cnf(c_0_33,plain,
    theorem(or(X1,not(X1))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_16]) ).

cnf(c_0_34,plain,
    ifeq(theorem(or(not(X1),X2)),true,theorem(or(not(or(X3,X1)),or(X3,X2))),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_32]),c_0_16]) ).

cnf(c_0_35,plain,
    ifeq(theorem(or(not(or(X1,not(X1))),X2)),true,theorem(X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_33]),c_0_16]) ).

cnf(c_0_36,plain,
    theorem(or(not(or(X1,X2)),or(X1,not(not(X2))))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_33]),c_0_16]) ).

cnf(c_0_37,plain,
    theorem(or(X1,or(not(or(X2,X1)),X2))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_26]),c_0_16]) ).

cnf(c_0_38,plain,
    theorem(or(X1,not(not(not(X1))))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_16]) ).

cnf(c_0_39,axiom,
    equivalent(X1,X2) = and(implies(X1,X2),implies(X2,X1)),
    equivalent_defn ).

cnf(c_0_40,axiom,
    and(X1,X2) = not(or(not(X1),not(X2))),
    and_defn ).

cnf(c_0_41,plain,
    theorem(or(not(or(X1,not(or(X2,not(X2))))),X1)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_37]),c_0_16]) ).

cnf(c_0_42,plain,
    ifeq(theorem(X1),true,theorem(or(not(or(X2,not(X1))),X2)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_37]),c_0_16]) ).

cnf(c_0_43,plain,
    theorem(or(not(not(not(X1))),X1)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_38]),c_0_16]) ).

cnf(c_0_44,negated_conjecture,
    theorem(equivalent(p,not(not(p)))) != true,
    prove_this ).

cnf(c_0_45,plain,
    equivalent(X1,X2) = not(or(not(or(not(X1),X2)),not(or(not(X2),X1)))),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_12]),c_0_12]),c_0_40]) ).

cnf(c_0_46,plain,
    ifeq(theorem(or(X1,not(or(X2,not(X2))))),true,theorem(X1),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_41]),c_0_16]) ).

cnf(c_0_47,plain,
    theorem(or(not(or(X1,not(or(not(not(not(X2))),X2)))),X1)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43]),c_0_16]) ).

cnf(c_0_48,negated_conjecture,
    theorem(not(or(not(or(not(p),not(not(p)))),not(or(not(not(not(p))),p))))) != true,
    inference(rw,[status(thm)],[c_0_44,c_0_45]) ).

cnf(c_0_49,plain,
    theorem(not(or(not(or(X1,not(X1))),not(or(not(not(not(X2))),X2))))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_16]) ).

cnf(c_0_50,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_49])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LCL265-10 : TPTP v8.1.2. Released v7.3.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.15/0.36  % Computer : n017.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 2400
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Oct  2 11:59:41 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.21/0.50  Running first-order theorem proving
% 0.21/0.50  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.H6m4Xq13gi/E---3.1_16922.p
% 237.02/31.16  # Version: 3.1pre001
% 237.02/31.16  # Preprocessing class: FSSSSMSSSSSNFFN.
% 237.02/31.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 237.02/31.16  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 237.02/31.16  # Starting new_bool_3 with 300s (1) cores
% 237.02/31.16  # Starting new_bool_1 with 300s (1) cores
% 237.02/31.16  # Starting sh5l with 300s (1) cores
% 237.02/31.16  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 17001 completed with status 0
% 237.02/31.16  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 237.02/31.16  # Preprocessing class: FSSSSMSSSSSNFFN.
% 237.02/31.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 237.02/31.16  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 237.02/31.16  # No SInE strategy applied
% 237.02/31.16  # Search class: FUUPM-FFSF31-DFFFFFNN
% 237.02/31.16  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 237.02/31.16  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 338s (1) cores
% 237.02/31.16  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 237.02/31.16  # Starting new_bool_3 with 254s (1) cores
% 237.02/31.16  # Starting new_bool_1 with 254s (1) cores
% 237.02/31.16  # Starting sh5l with 254s (1) cores
% 237.02/31.16  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 17009 completed with status 0
% 237.02/31.16  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 237.02/31.16  # Preprocessing class: FSSSSMSSSSSNFFN.
% 237.02/31.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 237.02/31.16  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 237.02/31.16  # No SInE strategy applied
% 237.02/31.16  # Search class: FUUPM-FFSF31-DFFFFFNN
% 237.02/31.16  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 237.02/31.16  # Starting G-E--_208_C18C--_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 338s (1) cores
% 237.02/31.16  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 237.02/31.16  # Preprocessing time       : 0.027 s
% 237.02/31.16  
% 237.02/31.16  # Proof found!
% 237.02/31.16  # SZS status Unsatisfiable
% 237.02/31.16  # SZS output start CNFRefutation
% See solution above
% 237.02/31.16  # Parsed axioms                        : 12
% 237.02/31.16  # Removed by relevancy pruning/SinE    : 0
% 237.02/31.16  # Initial clauses                      : 12
% 237.02/31.16  # Removed in clause preprocessing      : 3
% 237.02/31.16  # Initial clauses in saturation        : 9
% 237.02/31.16  # Processed clauses                    : 8797
% 237.02/31.16  # ...of these trivial                  : 3548
% 237.02/31.16  # ...subsumed                          : 0
% 237.02/31.16  # ...remaining for further processing  : 5249
% 237.02/31.16  # Other redundant clauses eliminated   : 0
% 237.02/31.16  # Clauses deleted for lack of memory   : 0
% 237.02/31.16  # Backward-subsumed                    : 0
% 237.02/31.16  # Backward-rewritten                   : 4
% 237.02/31.16  # Generated clauses                    : 1871258
% 237.02/31.16  # ...of the previous two non-redundant : 372944
% 237.02/31.16  # ...aggressively subsumed             : 0
% 237.02/31.16  # Contextual simplify-reflections      : 0
% 237.02/31.16  # Paramodulations                      : 1871258
% 237.02/31.16  # Factorizations                       : 0
% 237.02/31.16  # NegExts                              : 0
% 237.02/31.16  # Equation resolutions                 : 0
% 237.02/31.16  # Total rewrite steps                  : 2207482
% 237.02/31.16  # Propositional unsat checks           : 0
% 237.02/31.16  #    Propositional check models        : 0
% 237.02/31.16  #    Propositional check unsatisfiable : 0
% 237.02/31.16  #    Propositional clauses             : 0
% 237.02/31.16  #    Propositional clauses after purity: 0
% 237.02/31.16  #    Propositional unsat core size     : 0
% 237.02/31.16  #    Propositional preprocessing time  : 0.000
% 237.02/31.16  #    Propositional encoding time       : 0.000
% 237.02/31.16  #    Propositional solver time         : 0.000
% 237.02/31.16  #    Success case prop preproc time    : 0.000
% 237.02/31.16  #    Success case prop encoding time   : 0.000
% 237.02/31.16  #    Success case prop solver time     : 0.000
% 237.02/31.16  # Current number of processed clauses  : 5245
% 237.02/31.16  #    Positive orientable unit clauses  : 5245
% 237.02/31.16  #    Positive unorientable unit clauses: 0
% 237.02/31.16  #    Negative unit clauses             : 0
% 237.02/31.16  #    Non-unit-clauses                  : 0
% 237.02/31.16  # Current number of unprocessed clauses: 364138
% 237.02/31.16  # ...number of literals in the above   : 364138
% 237.02/31.16  # Current number of archived formulas  : 0
% 237.02/31.16  # Current number of archived clauses   : 7
% 237.02/31.16  # Clause-clause subsumption calls (NU) : 0
% 237.02/31.16  # Rec. Clause-clause subsumption calls : 0
% 237.02/31.16  # Non-unit clause-clause subsumptions  : 0
% 237.02/31.16  # Unit Clause-clause subsumption calls : 0
% 237.02/31.16  # Rewrite failures with RHS unbound    : 0
% 237.02/31.16  # BW rewrite match attempts            : 1949378
% 237.02/31.16  # BW rewrite match successes           : 4
% 237.02/31.16  # Condensation attempts                : 0
% 237.02/31.16  # Condensation successes               : 0
% 237.02/31.16  # Termbank termtop insertions          : 57479158
% 237.02/31.16  
% 237.02/31.16  # -------------------------------------------------
% 237.02/31.16  # User time                : 28.589 s
% 237.02/31.16  # System time              : 0.730 s
% 237.02/31.16  # Total time               : 29.319 s
% 237.02/31.16  # Maximum resident set size: 1628 pages
% 237.02/31.16  
% 237.02/31.16  # -------------------------------------------------
% 237.02/31.16  # User time                : 146.324 s
% 237.02/31.16  # System time              : 1.495 s
% 237.02/31.16  # Total time               : 147.819 s
% 237.02/31.16  # Maximum resident set size: 1672 pages
% 237.02/31.16  % E---3.1 exiting
% 237.02/31.16  % E---3.1 exiting
%------------------------------------------------------------------------------