TSTP Solution File: LCL178-1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : LCL178-1 : TPTP v8.2.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n027.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 May 20 23:55:47 EDT 2024

% Result   : Unsatisfiable 0.19s 0.47s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   27 (  17 unt;   0 nHn;  14 RR)
%            Number of literals    :   40 (   0 equ;  16 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   1 con; 0-2 aty)
%            Number of variables   :   41 (   5 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(rule_2,axiom,
    ( theorem(X1)
    | ~ axiom(or(not(X2),X1))
    | ~ theorem(X2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',rule_2) ).

cnf(axiom_1_4,axiom,
    axiom(or(not(or(X1,X2)),or(X2,X1))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_4) ).

cnf(rule_1,axiom,
    ( theorem(X1)
    | ~ axiom(X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',rule_1) ).

cnf(axiom_1_3,axiom,
    axiom(or(not(X1),or(X2,X1))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_3) ).

cnf(axiom_1_5,axiom,
    axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_5) ).

cnf(axiom_1_2,axiom,
    axiom(or(not(or(X1,X1)),X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL003-0.ax',axiom_1_2) ).

cnf(prove_this,negated_conjecture,
    ~ theorem(or(not(p),not(not(p)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

cnf(c_0_7,plain,
    ( theorem(X1)
    | ~ axiom(or(not(X2),X1))
    | ~ theorem(X2) ),
    inference(fof_simplification,[status(thm)],[rule_2]) ).

cnf(c_0_8,plain,
    ( theorem(X1)
    | ~ axiom(or(not(X2),X1))
    | ~ theorem(X2) ),
    c_0_7 ).

cnf(c_0_9,axiom,
    axiom(or(not(or(X1,X2)),or(X2,X1))),
    axiom_1_4 ).

cnf(c_0_10,plain,
    ( theorem(X1)
    | ~ axiom(X1) ),
    inference(fof_simplification,[status(thm)],[rule_1]) ).

cnf(c_0_11,plain,
    ( theorem(or(X1,X2))
    | ~ theorem(or(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_12,plain,
    ( theorem(X1)
    | ~ axiom(X1) ),
    c_0_10 ).

cnf(c_0_13,plain,
    ( theorem(or(X1,X2))
    | ~ axiom(or(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_11,c_0_12]) ).

cnf(c_0_14,axiom,
    axiom(or(not(X1),or(X2,X1))),
    axiom_1_3 ).

cnf(c_0_15,axiom,
    axiom(or(not(or(X1,or(X2,X3))),or(X2,or(X1,X3)))),
    axiom_1_5 ).

cnf(c_0_16,plain,
    theorem(or(or(X1,X2),not(X2))),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_17,axiom,
    axiom(or(not(or(X1,X1)),X1)),
    axiom_1_2 ).

cnf(c_0_18,plain,
    ( theorem(or(X1,or(X2,X3)))
    | ~ theorem(or(X2,or(X1,X3))) ),
    inference(spm,[status(thm)],[c_0_8,c_0_15]) ).

cnf(c_0_19,plain,
    theorem(or(not(X1),or(X2,X1))),
    inference(spm,[status(thm)],[c_0_11,c_0_16]) ).

cnf(c_0_20,plain,
    ( theorem(X1)
    | ~ theorem(or(X1,X1)) ),
    inference(spm,[status(thm)],[c_0_8,c_0_17]) ).

cnf(c_0_21,plain,
    theorem(or(X1,or(not(X2),X2))),
    inference(spm,[status(thm)],[c_0_18,c_0_19]) ).

cnf(c_0_22,negated_conjecture,
    ~ theorem(or(not(p),not(not(p)))),
    inference(fof_simplification,[status(thm)],[prove_this]) ).

cnf(c_0_23,plain,
    theorem(or(not(X1),X1)),
    inference(spm,[status(thm)],[c_0_20,c_0_21]) ).

cnf(c_0_24,negated_conjecture,
    ~ theorem(or(not(p),not(not(p)))),
    c_0_22 ).

cnf(c_0_25,plain,
    theorem(or(X1,not(X1))),
    inference(spm,[status(thm)],[c_0_11,c_0_23]) ).

cnf(c_0_26,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24,c_0_25])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : LCL178-1 : TPTP v8.2.0. Released v1.1.0.
% 0.11/0.13  % Command    : run_E %s %d THM
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Mon May 20 02:28:08 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.19/0.46  Running first-order model finding
% 0.19/0.46  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/benchmark/theBenchmark.p
% 0.19/0.47  # Version: 3.1.0
% 0.19/0.47  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.47  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.47  # Starting sh5l with 300s (1) cores
% 0.19/0.47  # new_bool_3 with pid 2259 completed with status 0
% 0.19/0.47  # Result found by new_bool_3
% 0.19/0.47  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.47  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.47  # Search class: FHUNM-FFSF21-MFFFFFNN
% 0.19/0.47  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.47  # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 181s (1) cores
% 0.19/0.47  # G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with pid 2264 completed with status 0
% 0.19/0.47  # Result found by G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S
% 0.19/0.47  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.19/0.47  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.47  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.19/0.47  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.47  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.47  # Search class: FHUNM-FFSF21-MFFFFFNN
% 0.19/0.47  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.47  # Starting G----_Z1410__C12_02_nc_F1_AE_CS_SP_S2S with 181s (1) cores
% 0.19/0.47  # Preprocessing time       : 0.001 s
% 0.19/0.47  # Presaturation interreduction done
% 0.19/0.47  
% 0.19/0.47  # Proof found!
% 0.19/0.47  # SZS status Unsatisfiable
% 0.19/0.47  # SZS output start CNFRefutation
% See solution above
% 0.19/0.47  # Parsed axioms                        : 9
% 0.19/0.47  # Removed by relevancy pruning/SinE    : 0
% 0.19/0.47  # Initial clauses                      : 9
% 0.19/0.47  # Removed in clause preprocessing      : 0
% 0.19/0.47  # Initial clauses in saturation        : 9
% 0.19/0.47  # Processed clauses                    : 38
% 0.19/0.47  # ...of these trivial                  : 0
% 0.19/0.47  # ...subsumed                          : 1
% 0.19/0.47  # ...remaining for further processing  : 37
% 0.19/0.47  # Other redundant clauses eliminated   : 0
% 0.19/0.47  # Clauses deleted for lack of memory   : 0
% 0.19/0.47  # Backward-subsumed                    : 0
% 0.19/0.47  # Backward-rewritten                   : 1
% 0.19/0.47  # Generated clauses                    : 41
% 0.19/0.47  # ...of the previous two non-redundant : 35
% 0.19/0.47  # ...aggressively subsumed             : 0
% 0.19/0.47  # Contextual simplify-reflections      : 0
% 0.19/0.47  # Paramodulations                      : 41
% 0.19/0.47  # Factorizations                       : 0
% 0.19/0.47  # NegExts                              : 0
% 0.19/0.47  # Equation resolutions                 : 0
% 0.19/0.47  # Disequality decompositions           : 0
% 0.19/0.47  # Total rewrite steps                  : 4
% 0.19/0.47  # ...of those cached                   : 0
% 0.19/0.47  # Propositional unsat checks           : 0
% 0.19/0.47  #    Propositional check models        : 0
% 0.19/0.47  #    Propositional check unsatisfiable : 0
% 0.19/0.47  #    Propositional clauses             : 0
% 0.19/0.47  #    Propositional clauses after purity: 0
% 0.19/0.47  #    Propositional unsat core size     : 0
% 0.19/0.47  #    Propositional preprocessing time  : 0.000
% 0.19/0.47  #    Propositional encoding time       : 0.000
% 0.19/0.47  #    Propositional solver time         : 0.000
% 0.19/0.47  #    Success case prop preproc time    : 0.000
% 0.19/0.47  #    Success case prop encoding time   : 0.000
% 0.19/0.47  #    Success case prop solver time     : 0.000
% 0.19/0.47  # Current number of processed clauses  : 27
% 0.19/0.47  #    Positive orientable unit clauses  : 12
% 0.19/0.47  #    Positive unorientable unit clauses: 0
% 0.19/0.47  #    Negative unit clauses             : 5
% 0.19/0.47  #    Non-unit-clauses                  : 10
% 0.19/0.47  # Current number of unprocessed clauses: 15
% 0.19/0.47  # ...number of literals in the above   : 24
% 0.19/0.47  # Current number of archived formulas  : 0
% 0.19/0.47  # Current number of archived clauses   : 10
% 0.19/0.47  # Clause-clause subsumption calls (NU) : 32
% 0.19/0.47  # Rec. Clause-clause subsumption calls : 32
% 0.19/0.47  # Non-unit clause-clause subsumptions  : 1
% 0.19/0.47  # Unit Clause-clause subsumption calls : 8
% 0.19/0.47  # Rewrite failures with RHS unbound    : 0
% 0.19/0.47  # BW rewrite match attempts            : 27
% 0.19/0.47  # BW rewrite match successes           : 1
% 0.19/0.47  # Condensation attempts                : 0
% 0.19/0.47  # Condensation successes               : 0
% 0.19/0.47  # Termbank termtop insertions          : 814
% 0.19/0.47  # Search garbage collected termcells   : 17
% 0.19/0.47  
% 0.19/0.47  # -------------------------------------------------
% 0.19/0.47  # User time                : 0.005 s
% 0.19/0.47  # System time              : 0.001 s
% 0.19/0.47  # Total time               : 0.005 s
% 0.19/0.47  # Maximum resident set size: 1604 pages
% 0.19/0.47  
% 0.19/0.47  # -------------------------------------------------
% 0.19/0.47  # User time                : 0.006 s
% 0.19/0.47  # System time              : 0.003 s
% 0.19/0.47  # Total time               : 0.009 s
% 0.19/0.47  # Maximum resident set size: 1708 pages
% 0.19/0.47  % E---3.1 exiting
%------------------------------------------------------------------------------