TSTP Solution File: LCL211-10 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : LCL211-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n018.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 : Sat May  4 08:18:09 EDT 2024

% Result   : Unsatisfiable 5.06s 1.16s
% Output   : CNFRefutation 5.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   43 (  43 unt;   0 nHn;   5 RR)
%            Number of literals    :   43 (  42 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   3 con; 0-4 aty)
%            Number of variables   :   86 (   8 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_1_3,axiom,
    axiom(implies(X1,or(X2,X1))) = true,
    file('/export/starexec/sandbox/tmp/tmp.483XsKOxtw/E---3.1_14627.p',axiom_1_3) ).

cnf(implies_definition,axiom,
    implies(X1,X2) = or(not(X1),X2),
    file('/export/starexec/sandbox/tmp/tmp.483XsKOxtw/E---3.1_14627.p',implies_definition) ).

cnf(axiom_1_4,axiom,
    axiom(implies(or(X1,X2),or(X2,X1))) = true,
    file('/export/starexec/sandbox/tmp/tmp.483XsKOxtw/E---3.1_14627.p',axiom_1_4) ).

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.483XsKOxtw/E---3.1_14627.p',rule_2) ).

cnf(rule_1,axiom,
    ifeq(axiom(X1),true,theorem(X1),true) = true,
    file('/export/starexec/sandbox/tmp/tmp.483XsKOxtw/E---3.1_14627.p',rule_1) ).

cnf(ifeq_axiom,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    file('/export/starexec/sandbox/tmp/tmp.483XsKOxtw/E---3.1_14627.p',ifeq_axiom) ).

cnf(axiom_1_5,axiom,
    axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))) = true,
    file('/export/starexec/sandbox/tmp/tmp.483XsKOxtw/E---3.1_14627.p',axiom_1_5) ).

cnf(axiom_1_6,axiom,
    axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) = true,
    file('/export/starexec/sandbox/tmp/tmp.483XsKOxtw/E---3.1_14627.p',axiom_1_6) ).

cnf(prove_this,negated_conjecture,
    theorem(implies(not(q),implies(or(p,q),p))) != true,
    file('/export/starexec/sandbox/tmp/tmp.483XsKOxtw/E---3.1_14627.p',prove_this) ).

cnf(c_0_9,axiom,
    axiom(implies(X1,or(X2,X1))) = true,
    axiom_1_3 ).

cnf(c_0_10,axiom,
    implies(X1,X2) = or(not(X1),X2),
    implies_definition ).

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

cnf(c_0_12,axiom,
    ifeq(theorem(implies(X1,X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true) = true,
    rule_2 ).

cnf(c_0_13,axiom,
    ifeq(axiom(X1),true,theorem(X1),true) = true,
    rule_1 ).

cnf(c_0_14,plain,
    axiom(or(not(X1),or(X2,X1))) = true,
    inference(rw,[status(thm)],[c_0_9,c_0_10]) ).

cnf(c_0_15,axiom,
    ifeq(X1,X1,X2,X3) = X2,
    ifeq_axiom ).

cnf(c_0_16,axiom,
    axiom(implies(or(X1,or(X2,X3)),or(X2,or(X1,X3)))) = true,
    axiom_1_5 ).

cnf(c_0_17,plain,
    axiom(or(not(or(X1,X2)),or(X2,X1))) = true,
    inference(rw,[status(thm)],[c_0_11,c_0_10]) ).

cnf(c_0_18,plain,
    ifeq(theorem(or(not(X1),X2)),true,ifeq(theorem(X1),true,theorem(X2),true),true) = true,
    inference(rw,[status(thm)],[c_0_12,c_0_10]) ).

cnf(c_0_19,plain,
    theorem(or(not(X1),or(X2,X1))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]) ).

cnf(c_0_20,plain,
    axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))) = true,
    inference(rw,[status(thm)],[c_0_16,c_0_10]) ).

cnf(c_0_21,plain,
    theorem(or(not(or(X1,X2)),or(X2,X1))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_17]),c_0_15]) ).

cnf(c_0_22,axiom,
    axiom(implies(implies(X1,X2),implies(or(X3,X1),or(X3,X2)))) = true,
    axiom_1_6 ).

cnf(c_0_23,plain,
    ifeq(theorem(or(not(or(not(X1),or(X2,X1))),X3)),true,theorem(X3),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_15]) ).

cnf(c_0_24,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_13,c_0_20]),c_0_15]) ).

cnf(c_0_25,plain,
    ifeq(theorem(or(not(or(not(or(X1,X2)),or(X2,X1))),X3)),true,theorem(X3),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_21]),c_0_15]) ).

cnf(c_0_26,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_22,c_0_10]),c_0_10]),c_0_10]) ).

cnf(c_0_27,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_15]) ).

cnf(c_0_28,plain,
    ifeq(theorem(or(X1,X2)),true,theorem(or(X2,X1)),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_21]),c_0_15]) ).

cnf(c_0_29,plain,
    theorem(or(X1,or(not(or(X2,X1)),X2))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_24]),c_0_15]) ).

cnf(c_0_30,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_13,c_0_26]),c_0_15]) ).

cnf(c_0_31,plain,
    theorem(or(not(X1),X1)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_27]),c_0_15]) ).

cnf(c_0_32,plain,
    theorem(or(or(not(or(X1,X2)),X1),X2)) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_15]) ).

cnf(c_0_33,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_18,c_0_30]),c_0_15]) ).

cnf(c_0_34,plain,
    theorem(or(X1,not(X1))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_31]),c_0_15]) ).

cnf(c_0_35,negated_conjecture,
    theorem(implies(not(q),implies(or(p,q),p))) != true,
    inference(fof_simplification,[status(thm)],[prove_this]) ).

cnf(c_0_36,plain,
    ifeq(theorem(or(not(or(or(not(or(X1,X2)),X1),X2)),X3)),true,theorem(X3),true) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_32]),c_0_15]) ).

cnf(c_0_37,plain,
    theorem(or(not(or(X1,X2)),or(X1,not(not(X2))))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_15]) ).

cnf(c_0_38,negated_conjecture,
    theorem(implies(not(q),implies(or(p,q),p))) != true,
    c_0_35 ).

cnf(c_0_39,plain,
    theorem(or(or(not(or(X1,X2)),X1),not(not(X2)))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_15]) ).

cnf(c_0_40,negated_conjecture,
    theorem(or(not(not(q)),or(not(or(p,q)),p))) != true,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_10]),c_0_10]) ).

cnf(c_0_41,plain,
    theorem(or(not(not(X1)),or(not(or(X2,X1)),X2))) = true,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_39]),c_0_15]) ).

cnf(c_0_42,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_41])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : LCL211-10 : TPTP v8.1.2. Released v7.5.0.
% 0.03/0.15  % Command    : run_E %s %d THM
% 0.16/0.36  % Computer : n018.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Fri May  3 09:05:16 EDT 2024
% 0.16/0.36  % CPUTime    : 
% 0.22/0.51  Running first-order theorem proving
% 0.22/0.51  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.483XsKOxtw/E---3.1_14627.p
% 5.06/1.16  # Version: 3.1.0
% 5.06/1.16  # Preprocessing class: FSSSSMSSSSSNFFN.
% 5.06/1.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.06/1.16  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 5.06/1.16  # Starting new_bool_3 with 300s (1) cores
% 5.06/1.16  # Starting new_bool_1 with 300s (1) cores
% 5.06/1.16  # Starting sh5l with 300s (1) cores
% 5.06/1.16  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 14705 completed with status 0
% 5.06/1.16  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 5.06/1.16  # Preprocessing class: FSSSSMSSSSSNFFN.
% 5.06/1.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.06/1.16  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 5.06/1.16  # No SInE strategy applied
% 5.06/1.16  # Search class: FUUPM-FFSF31-MFFFFFNN
% 5.06/1.16  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 5.06/1.16  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 500s (1) cores
% 5.06/1.16  # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 251s (1) cores
% 5.06/1.16  # Starting new_bool_3 with 251s (1) cores
% 5.06/1.16  # Starting new_bool_1 with 251s (1) cores
% 5.06/1.16  # Starting sh5l with 247s (1) cores
% 5.06/1.16  # G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with pid 14711 completed with status 0
% 5.06/1.16  # Result found by G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y
% 5.06/1.16  # Preprocessing class: FSSSSMSSSSSNFFN.
% 5.06/1.16  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 5.06/1.16  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 5.06/1.16  # No SInE strategy applied
% 5.06/1.16  # Search class: FUUPM-FFSF31-MFFFFFNN
% 5.06/1.16  # Scheduled 5 strats onto 5 cores with 1500 seconds (1500 total)
% 5.06/1.16  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 500s (1) cores
% 5.06/1.16  # Starting G-E--_103_C18_F1_PI_AE_Q4_CS_SP_S0Y with 251s (1) cores
% 5.06/1.16  # Preprocessing time       : 0.001 s
% 5.06/1.16  
% 5.06/1.16  # Proof found!
% 5.06/1.16  # SZS status Unsatisfiable
% 5.06/1.16  # SZS output start CNFRefutation
% See solution above
% 5.06/1.16  # Parsed axioms                        : 10
% 5.06/1.16  # Removed by relevancy pruning/SinE    : 0
% 5.06/1.16  # Initial clauses                      : 10
% 5.06/1.16  # Removed in clause preprocessing      : 1
% 5.06/1.16  # Initial clauses in saturation        : 9
% 5.06/1.16  # Processed clauses                    : 799
% 5.06/1.16  # ...of these trivial                  : 75
% 5.06/1.16  # ...subsumed                          : 0
% 5.06/1.16  # ...remaining for further processing  : 724
% 5.06/1.16  # Other redundant clauses eliminated   : 0
% 5.06/1.16  # Clauses deleted for lack of memory   : 0
% 5.06/1.16  # Backward-subsumed                    : 0
% 5.06/1.16  # Backward-rewritten                   : 1
% 5.06/1.16  # Generated clauses                    : 54891
% 5.06/1.16  # ...of the previous two non-redundant : 9086
% 5.06/1.16  # ...aggressively subsumed             : 0
% 5.06/1.16  # Contextual simplify-reflections      : 0
% 5.06/1.16  # Paramodulations                      : 54891
% 5.06/1.16  # Factorizations                       : 0
% 5.06/1.16  # NegExts                              : 0
% 5.06/1.16  # Equation resolutions                 : 0
% 5.06/1.16  # Disequality decompositions           : 0
% 5.06/1.16  # Total rewrite steps                  : 68758
% 5.06/1.16  # ...of those cached                   : 27169
% 5.06/1.16  # Propositional unsat checks           : 0
% 5.06/1.16  #    Propositional check models        : 0
% 5.06/1.16  #    Propositional check unsatisfiable : 0
% 5.06/1.16  #    Propositional clauses             : 0
% 5.06/1.16  #    Propositional clauses after purity: 0
% 5.06/1.16  #    Propositional unsat core size     : 0
% 5.06/1.16  #    Propositional preprocessing time  : 0.000
% 5.06/1.16  #    Propositional encoding time       : 0.000
% 5.06/1.16  #    Propositional solver time         : 0.000
% 5.06/1.16  #    Success case prop preproc time    : 0.000
% 5.06/1.16  #    Success case prop encoding time   : 0.000
% 5.06/1.16  #    Success case prop solver time     : 0.000
% 5.06/1.16  # Current number of processed clauses  : 723
% 5.06/1.16  #    Positive orientable unit clauses  : 723
% 5.06/1.16  #    Positive unorientable unit clauses: 0
% 5.06/1.16  #    Negative unit clauses             : 0
% 5.06/1.16  #    Non-unit-clauses                  : 0
% 5.06/1.16  # Current number of unprocessed clauses: 8296
% 5.06/1.16  # ...number of literals in the above   : 8296
% 5.06/1.16  # Current number of archived formulas  : 0
% 5.06/1.16  # Current number of archived clauses   : 2
% 5.06/1.16  # Clause-clause subsumption calls (NU) : 0
% 5.06/1.16  # Rec. Clause-clause subsumption calls : 0
% 5.06/1.16  # Non-unit clause-clause subsumptions  : 0
% 5.06/1.16  # Unit Clause-clause subsumption calls : 0
% 5.06/1.16  # Rewrite failures with RHS unbound    : 0
% 5.06/1.16  # BW rewrite match attempts            : 47094
% 5.06/1.16  # BW rewrite match successes           : 1
% 5.06/1.16  # Condensation attempts                : 0
% 5.06/1.16  # Condensation successes               : 0
% 5.06/1.16  # Termbank termtop insertions          : 974279
% 5.06/1.16  # Search garbage collected termcells   : 2
% 5.06/1.16  
% 5.06/1.16  # -------------------------------------------------
% 5.06/1.16  # User time                : 0.609 s
% 5.06/1.16  # System time              : 0.023 s
% 5.06/1.16  # Total time               : 0.632 s
% 5.06/1.16  # Maximum resident set size: 1584 pages
% 5.06/1.16  
% 5.06/1.16  # -------------------------------------------------
% 5.06/1.16  # User time                : 3.051 s
% 5.06/1.16  # System time              : 0.052 s
% 5.06/1.16  # Total time               : 3.103 s
% 5.06/1.16  # Maximum resident set size: 1688 pages
% 5.06/1.16  % E---3.1 exiting
% 5.06/1.16  % E exiting
%------------------------------------------------------------------------------