TSTP Solution File: LCL250-10 by E---3.2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.2.0
% Problem  : LCL250-10 : TPTP v8.2.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n032.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 : 300s
% WCLimit  : 300s
% DateTime : Mon Jun 24 10:44:13 EDT 2024

% Result   : Timeout 324.37s 36.80s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   57 (  57 unt;   0 nHn;   4 RR)
%            Number of literals    :   57 (  56 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   4 con; 0-4 aty)
%            Number of variables   :  119 (  14 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_1,axiom,
    ifeq(axiom(X1),true,theorem(X1),true) = true,
    file('/export/starexec/sandbox/tmp/tmp.ci0PL9Byfu/E---3.1_20206.p',rule_1) ).

cnf(axiom_1_2,axiom,
    axiom(implies(or(X1,X1),X1)) = true,
    file('/export/starexec/sandbox/tmp/tmp.ci0PL9Byfu/E---3.1_20206.p',axiom_1_2) ).

cnf(ifeq_axiom,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    file('/export/starexec/sandbox/tmp/tmp.ci0PL9Byfu/E---3.1_20206.p',ifeq_axiom) ).

cnf(axiom_1_6,axiom,
    axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) = true,
    file('/export/starexec/sandbox/tmp/tmp.ci0PL9Byfu/E---3.1_20206.p',axiom_1_6) ).

cnf(axiom_1_3,axiom,
    axiom(implies(X1,or(X2,X1))) = true,
    file('/export/starexec/sandbox/tmp/tmp.ci0PL9Byfu/E---3.1_20206.p',axiom_1_3) ).

cnf(rule_2,axiom,
    ifeq(theorem(implies(X1,X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true) = true,
    file('/export/starexec/sandbox/tmp/tmp.ci0PL9Byfu/E---3.1_20206.p',rule_2) ).

cnf(implies_definition,axiom,
    implies(X1,X2) = or(not(X1),X2),
    file('/export/starexec/sandbox/tmp/tmp.ci0PL9Byfu/E---3.1_20206.p',implies_definition) ).

cnf(axiom_1_4,axiom,
    axiom(implies(or(X1,X2),or(X2,X1))) = true,
    file('/export/starexec/sandbox/tmp/tmp.ci0PL9Byfu/E---3.1_20206.p',axiom_1_4) ).

cnf(axiom_1_5,axiom,
    axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))) = true,
    file('/export/starexec/sandbox/tmp/tmp.ci0PL9Byfu/E---3.1_20206.p',axiom_1_5) ).

cnf(and_defn,axiom,
    and(X1,X2) = not(or(not(X1),not(X2))),
    file('/export/starexec/sandbox/tmp/tmp.ci0PL9Byfu/E---3.1_20206.p',and_defn) ).

cnf(prove_this,negated_conjecture,
    theorem(implies(implies(q,r),implies(and(p,q),r))) != true,
    file('/export/starexec/sandbox/tmp/tmp.ci0PL9Byfu/E---3.1_20206.p',prove_this) ).

cnf(c_0_11,axiom,
    ifeq(axiom(X1),true,theorem(X1),true) = true,
    rule_1 ).

cnf(c_0_12,axiom,
    axiom(implies(or(X1,X1),X1)) = true,
    axiom_1_2 ).

cnf(c_0_13,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    ifeq_axiom ).

cnf(c_0_14,axiom,
    axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) = true,
    axiom_1_6 ).

cnf(c_0_15,axiom,
    axiom(implies(X1,or(X2,X1))) = true,
    axiom_1_3 ).

cnf(c_0_16,axiom,
    ifeq(theorem(implies(X1,X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true) = true,
    rule_2 ).

cnf(c_0_17,plain,
    theorem(implies(or(X1,X1),X1)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13]) ).

cnf(c_0_18,plain,
    theorem(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_14]),c_0_13]) ).

cnf(c_0_19,axiom,
    implies(X1,X2) = or(not(X1),X2),
    implies_definition ).

cnf(c_0_20,plain,
    theorem(implies(X1,or(X2,X1))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_15]),c_0_13]) ).

cnf(c_0_21,plain,
    ifeq(theorem(implies(implies(or(X1,X1),X1),X2)),true,theorem(X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_17]),c_0_13]) ).

cnf(c_0_22,plain,
    theorem(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2)))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_19]) ).

cnf(c_0_23,plain,
    ifeq(theorem(implies(implies(X1,or(X2,X1)),X3)),true,theorem(X3),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_20]),c_0_13]) ).

cnf(c_0_24,plain,
    theorem(implies(implies(X1,or(X2,X2)),implies(X1,X2))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_13]) ).

cnf(c_0_25,axiom,
    axiom(implies(or(X1,X2),or(X2,X1))) = true,
    axiom_1_4 ).

cnf(c_0_26,plain,
    theorem(implies(X1,X1)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_13]) ).

cnf(c_0_27,plain,
    theorem(implies(or(X1,X2),or(X2,X1))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_25]),c_0_13]) ).

cnf(c_0_28,plain,
    ifeq(theorem(implies(implies(X1,X1),X2)),true,theorem(X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_26]),c_0_13]) ).

cnf(c_0_29,plain,
    theorem(implies(implies(X1,X2),or(X2,not(X1)))) = true,
    inference(spm,[status(thm)],[c_0_27,c_0_19]) ).

cnf(c_0_30,plain,
    theorem(or(X1,not(X1))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_13]) ).

cnf(c_0_31,plain,
    ifeq(theorem(implies(X1,X2)),true,theorem(implies(implies(X3,X1),implies(X3,X2))),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_22]),c_0_13]) ).

cnf(c_0_32,plain,
    theorem(implies(X1,not(not(X1)))) = true,
    inference(spm,[status(thm)],[c_0_30,c_0_19]) ).

cnf(c_0_33,axiom,
    axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))) = true,
    axiom_1_5 ).

cnf(c_0_34,plain,
    theorem(implies(implies(X1,X2),implies(X1,not(not(X2))))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_13]) ).

cnf(c_0_35,plain,
    theorem(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_33]),c_0_13]) ).

cnf(c_0_36,plain,
    ifeq(theorem(implies(X1,X2)),true,theorem(implies(or(X3,X1),or(X3,X2))),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_18]),c_0_13]) ).

cnf(c_0_37,plain,
    theorem(implies(X1,not(not(or(X2,X1))))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_34]),c_0_13]) ).

cnf(c_0_38,plain,
    theorem(implies(implies(X1,or(X2,X3)),or(X2,implies(X1,X3)))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_19]),c_0_19]) ).

cnf(c_0_39,plain,
    ifeq(theorem(implies(or(X1,not(X1)),X2)),true,theorem(X2),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_30]),c_0_13]) ).

cnf(c_0_40,plain,
    theorem(implies(or(X1,X2),or(X1,not(not(or(X3,X2)))))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_13]) ).

cnf(c_0_41,axiom,
    and(X1,X2) = not(or(not(X1),not(X2))),
    and_defn ).

cnf(c_0_42,plain,
    theorem(implies(implies(X1,implies(X2,X3)),implies(X2,implies(X1,X3)))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_19]),c_0_19]) ).

cnf(c_0_43,plain,
    theorem(or(X1,not(not(or(X2,not(X1)))))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_13]) ).

cnf(c_0_44,plain,
    not(implies(X1,not(X2))) = and(X1,X2),
    inference(rw,[status(thm)],[c_0_41,c_0_19]) ).

cnf(c_0_45,plain,
    theorem(implies(X1,implies(implies(X1,X2),X2))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_42]),c_0_13]) ).

cnf(c_0_46,plain,
    ifeq(theorem(or(X1,X2)),true,theorem(or(X2,X1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_27]),c_0_13]) ).

cnf(c_0_47,plain,
    theorem(or(X1,not(and(X2,X1)))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_19]),c_0_44]) ).

cnf(c_0_48,plain,
    ifeq(theorem(X1),true,theorem(implies(implies(X1,X2),X2)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_45]),c_0_13]) ).

cnf(c_0_49,plain,
    theorem(implies(and(X1,X2),X2)) = true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_19]),c_0_13]) ).

cnf(c_0_50,plain,
    theorem(implies(implies(implies(and(X1,X2),X2),X3),X3)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_13]) ).

cnf(c_0_51,negated_conjecture,
    theorem(implies(implies(q,r),implies(and(p,q),r))) != true,
    inference(fof_simplification,[status(thm)],[prove_this]) ).

cnf(c_0_52,plain,
    ifeq(theorem(implies(implies(implies(X1,X2),implies(implies(X3,X1),implies(X3,X2))),X4)),true,theorem(X4),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_22]),c_0_13]) ).

cnf(c_0_53,plain,
    theorem(implies(implies(X1,implies(implies(and(X2,X3),X3),X4)),implies(X1,X4))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_50]),c_0_13]) ).

cnf(c_0_54,negated_conjecture,
    theorem(implies(implies(q,r),implies(and(p,q),r))) != true,
    c_0_51 ).

cnf(c_0_55,plain,
    theorem(implies(implies(X1,X2),implies(and(X3,X1),X2))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_13]) ).

cnf(c_0_56,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_55])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : LCL250-10 : TPTP v8.2.0. Released v7.3.0.
% 0.05/0.10  % Command    : run_E %s %d THM
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit   : 300
% 0.10/0.30  % WCLimit    : 300
% 0.10/0.30  % DateTime   : Sat Jun 22 13:06:08 EDT 2024
% 0.10/0.30  % CPUTime    : 
% 0.16/0.43  Running first-order theorem proving
% 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 --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.ci0PL9Byfu/E---3.1_20206.p
% 324.37/36.80  # Version: 3.2.0
% 324.37/36.80  # Preprocessing class: FSSSSMSSSSSNFFN.
% 324.37/36.80  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 324.37/36.80  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 324.37/36.80  # Starting new_bool_3 with 300s (1) cores
% 324.37/36.80  # Starting new_bool_1 with 300s (1) cores
% 324.37/36.80  # Starting sh5l with 300s (1) cores
% 324.37/36.80  # new_bool_3 with pid 20286 completed with status 0
% 324.37/36.80  # Result found by new_bool_3
% 324.37/36.80  # Preprocessing class: FSSSSMSSSSSNFFN.
% 324.37/36.80  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 324.37/36.80  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 324.37/36.80  # Starting new_bool_3 with 300s (1) cores
% 324.37/36.80  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 324.37/36.80  # Search class: FUUPM-FFSF31-MFFFFFNN
% 324.37/36.80  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 324.37/36.80  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 100s (1) cores
% 324.37/36.80  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 20289 completed with status 0
% 324.37/36.80  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 324.37/36.80  # Preprocessing class: FSSSSMSSSSSNFFN.
% 324.37/36.80  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 324.37/36.80  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 324.37/36.80  # Starting new_bool_3 with 300s (1) cores
% 324.37/36.80  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 324.37/36.80  # Search class: FUUPM-FFSF31-MFFFFFNN
% 324.37/36.80  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 324.37/36.80  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 100s (1) cores
% 324.37/36.80  # Preprocessing time       : 0.002 s
% 324.37/36.80  
% 324.37/36.80  # Proof found!
% 324.37/36.80  # SZS status Unsatisfiable
% 324.37/36.80  # SZS output start CNFRefutation
% See solution above
% 324.37/36.80  # Parsed axioms                        : 11
% 324.37/36.80  # Removed by relevancy pruning/SinE    : 0
% 324.37/36.80  # Initial clauses                      : 11
% 324.37/36.80  # Removed in clause preprocessing      : 0
% 324.37/36.80  # Initial clauses in saturation        : 11
% 324.37/36.80  # Processed clauses                    : 11278
% 324.37/36.80  # ...of these trivial                  : 4468
% 324.37/36.80  # ...subsumed                          : 0
% 324.37/36.80  # ...remaining for further processing  : 6810
% 324.37/36.80  # Other redundant clauses eliminated   : 0
% 324.37/36.80  # Clauses deleted for lack of memory   : 0
% 324.37/36.80  # Backward-subsumed                    : 0
% 324.37/36.80  # Backward-rewritten                   : 91
% 324.37/36.80  # Generated clauses                    : 2080099
% 324.37/36.80  # ...of the previous two non-redundant : 399375
% 324.37/36.80  # ...aggressively subsumed             : 0
% 324.37/36.80  # Contextual simplify-reflections      : 0
% 324.37/36.80  # Paramodulations                      : 2080099
% 324.37/36.80  # Factorizations                       : 0
% 324.37/36.80  # NegExts                              : 0
% 324.37/36.80  # Equation resolutions                 : 0
% 324.37/36.80  # Disequality decompositions           : 0
% 324.37/36.80  # Total rewrite steps                  : 2504356
% 324.37/36.80  # ...of those cached                   : 960979
% 324.37/36.80  # Propositional unsat checks           : 0
% 324.37/36.80  #    Propositional check models        : 0
% 324.37/36.80  #    Propositional check unsatisfiable : 0
% 324.37/36.80  #    Propositional clauses             : 0
% 324.37/36.80  #    Propositional clauses after purity: 0
% 324.37/36.80  #    Propositional unsat core size     : 0
% 324.37/36.80  #    Propositional preprocessing time  : 0.000
% 324.37/36.80  #    Propositional encoding time       : 0.000
% 324.37/36.80  #    Propositional solver time         : 0.000
% 324.37/36.80  #    Success case prop preproc time    : 0.000
% 324.37/36.80  #    Success case prop encoding time   : 0.000
% 324.37/36.80  #    Success case prop solver time     : 0.000
% 324.37/36.80  # Current number of processed clauses  : 6719
% 324.37/36.80  #    Positive orientable unit clauses  : 6719
% 324.37/36.80  #    Positive unorientable unit clauses: 0
% 324.37/36.80  #    Negative unit clauses             : 0
% 324.37/36.80  #    Non-unit-clauses                  : 0
% 324.37/36.80  # Current number of unprocessed clauses: 387716
% 324.37/36.80  # ...number of literals in the above   : 387716
% 324.37/36.80  # Current number of archived formulas  : 0
% 324.37/36.80  # Current number of archived clauses   : 91
% 324.37/36.80  # Clause-clause subsumption calls (NU) : 0
% 324.37/36.80  # Rec. Clause-clause subsumption calls : 0
% 324.37/36.80  # Non-unit clause-clause subsumptions  : 0
% 324.37/36.80  # Unit Clause-clause subsumption calls : 0
% 324.37/36.80  # Rewrite failures with RHS unbound    : 0
% 324.37/36.80  # BW rewrite match attempts            : 2205412
% 324.37/36.80  # BW rewrite match successes           : 89
% 324.37/36.80  # Condensation attempts                : 0
% 324.37/36.80  # Condensation successes               : 0
% 324.37/36.80  # Termbank termtop insertions          : 61465231
% 324.37/36.80  # Search garbage collected termcells   : 2
% 324.37/36.80  
% 324.37/36.80  # -------------------------------------------------
% 324.37/36.80  # User time                : 35.202 s
% 324.37/36.80  # System time              : 0.954 s
% 324.37/36.80  # Total time               : 36.156 s
% 324.37/36.80  # Maximum resident set size: 1656 pages
% 324.37/36.80  
% 324.37/36.80  # -------------------------------------------------
% 324.37/36.80  # User time                : 35.202 s
% 324.37/36.80  # System time              : 0.957 s
% 324.37/36.80  # Total time               : 36.159 s
% 324.37/36.80  # Maximum resident set size: 1692 pages
% 324.37/36.80  % E---3.1 exiting
% 324.37/36.80  % E exiting
%------------------------------------------------------------------------------