TSTP Solution File: LCL133-1 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : LCL133-1 : TPTP v8.1.2. Released v1.0.0.
% 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 : Sat May  4 08:17:51 EDT 2024

% Result   : Unsatisfiable 0.13s 0.37s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   17 (  17 unt;   0 nHn;   4 RR)
%            Number of literals    :   17 (  16 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   23 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(wajsberg_3,axiom,
    implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
    file('/export/starexec/sandbox2/tmp/tmp.9ZQsDY2tr4/E---3.1_11420.p',wajsberg_3) ).

cnf(lemma_antecedent,negated_conjecture,
    implies(X1,X2) = implies(X2,X1),
    file('/export/starexec/sandbox2/tmp/tmp.9ZQsDY2tr4/E---3.1_11420.p',lemma_antecedent) ).

cnf(wajsberg_1,axiom,
    implies(truth,X1) = X1,
    file('/export/starexec/sandbox2/tmp/tmp.9ZQsDY2tr4/E---3.1_11420.p',wajsberg_1) ).

cnf(wajsberg_2,axiom,
    implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
    file('/export/starexec/sandbox2/tmp/tmp.9ZQsDY2tr4/E---3.1_11420.p',wajsberg_2) ).

cnf(prove_wajsberg_lemma,negated_conjecture,
    x != y,
    file('/export/starexec/sandbox2/tmp/tmp.9ZQsDY2tr4/E---3.1_11420.p',prove_wajsberg_lemma) ).

cnf(c_0_5,axiom,
    implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
    wajsberg_3 ).

cnf(c_0_6,negated_conjecture,
    implies(X1,X2) = implies(X2,X1),
    lemma_antecedent ).

cnf(c_0_7,axiom,
    implies(truth,X1) = X1,
    wajsberg_1 ).

cnf(c_0_8,plain,
    implies(X1,implies(X2,X1)) = implies(X2,implies(X1,X2)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_5,c_0_6]),c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    implies(X1,truth) = X1,
    inference(spm,[status(thm)],[c_0_7,c_0_6]) ).

cnf(c_0_10,axiom,
    implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
    wajsberg_2 ).

cnf(c_0_11,negated_conjecture,
    implies(X1,X1) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_7]),c_0_7]) ).

cnf(c_0_12,negated_conjecture,
    x != y,
    inference(fof_simplification,[status(thm)],[prove_wajsberg_lemma]) ).

cnf(c_0_13,negated_conjecture,
    implies(X1,implies(X1,X2)) = truth,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_10,c_0_11]),c_0_11]) ).

cnf(c_0_14,negated_conjecture,
    x != y,
    c_0_12 ).

cnf(c_0_15,negated_conjecture,
    truth = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_13]),c_0_7]) ).

cnf(c_0_16,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_15])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.08  % Problem    : LCL133-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.09  % Command    : run_E %s %d THM
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit   : 300
% 0.09/0.28  % WCLimit    : 300
% 0.09/0.28  % DateTime   : Fri May  3 09:12:54 EDT 2024
% 0.09/0.28  % CPUTime    : 
% 0.13/0.36  Running first-order theorem proving
% 0.13/0.36  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.9ZQsDY2tr4/E---3.1_11420.p
% 0.13/0.37  # Version: 3.1.0
% 0.13/0.37  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/0.37  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.37  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/0.37  # Starting new_bool_3 with 300s (1) cores
% 0.13/0.37  # Starting new_bool_1 with 300s (1) cores
% 0.13/0.37  # Starting sh5l with 300s (1) cores
% 0.13/0.37  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 11579 completed with status 0
% 0.13/0.37  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.13/0.37  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/0.37  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.37  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/0.37  # No SInE strategy applied
% 0.13/0.37  # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.13/0.37  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.37  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 0.13/0.37  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.13/0.37  # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.13/0.37  # Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 0.13/0.37  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 0.13/0.37  # G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with pid 11587 completed with status 0
% 0.13/0.37  # Result found by G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y
% 0.13/0.37  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.13/0.37  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.13/0.37  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.13/0.37  # No SInE strategy applied
% 0.13/0.37  # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.13/0.37  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.13/0.37  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 0.13/0.37  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.13/0.37  # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.13/0.37  # Preprocessing time       : 0.001 s
% 0.13/0.37  
% 0.13/0.37  # Proof found!
% 0.13/0.37  # SZS status Unsatisfiable
% 0.13/0.37  # SZS output start CNFRefutation
% See solution above
% 0.13/0.37  # Parsed axioms                        : 6
% 0.13/0.37  # Removed by relevancy pruning/SinE    : 0
% 0.13/0.37  # Initial clauses                      : 6
% 0.13/0.37  # Removed in clause preprocessing      : 0
% 0.13/0.37  # Initial clauses in saturation        : 6
% 0.13/0.37  # Processed clauses                    : 12
% 0.13/0.37  # ...of these trivial                  : 2
% 0.13/0.37  # ...subsumed                          : 0
% 0.13/0.37  # ...remaining for further processing  : 10
% 0.13/0.37  # Other redundant clauses eliminated   : 0
% 0.13/0.37  # Clauses deleted for lack of memory   : 0
% 0.13/0.37  # Backward-subsumed                    : 0
% 0.13/0.37  # Backward-rewritten                   : 9
% 0.13/0.37  # Generated clauses                    : 94
% 0.13/0.37  # ...of the previous two non-redundant : 89
% 0.13/0.37  # ...aggressively subsumed             : 0
% 0.13/0.37  # Contextual simplify-reflections      : 0
% 0.13/0.37  # Paramodulations                      : 94
% 0.13/0.37  # Factorizations                       : 0
% 0.13/0.37  # NegExts                              : 0
% 0.13/0.37  # Equation resolutions                 : 0
% 0.13/0.37  # Disequality decompositions           : 0
% 0.13/0.37  # Total rewrite steps                  : 78
% 0.13/0.37  # ...of those cached                   : 40
% 0.13/0.37  # Propositional unsat checks           : 0
% 0.13/0.37  #    Propositional check models        : 0
% 0.13/0.37  #    Propositional check unsatisfiable : 0
% 0.13/0.37  #    Propositional clauses             : 0
% 0.13/0.37  #    Propositional clauses after purity: 0
% 0.13/0.37  #    Propositional unsat core size     : 0
% 0.13/0.37  #    Propositional preprocessing time  : 0.000
% 0.13/0.37  #    Propositional encoding time       : 0.000
% 0.13/0.37  #    Propositional solver time         : 0.000
% 0.13/0.37  #    Success case prop preproc time    : 0.000
% 0.13/0.37  #    Success case prop encoding time   : 0.000
% 0.13/0.37  #    Success case prop solver time     : 0.000
% 0.13/0.37  # Current number of processed clauses  : 1
% 0.13/0.37  #    Positive orientable unit clauses  : 0
% 0.13/0.37  #    Positive unorientable unit clauses: 1
% 0.13/0.37  #    Negative unit clauses             : 0
% 0.13/0.37  #    Non-unit-clauses                  : 0
% 0.13/0.37  # Current number of unprocessed clauses: 80
% 0.13/0.37  # ...number of literals in the above   : 80
% 0.13/0.37  # Current number of archived formulas  : 0
% 0.13/0.37  # Current number of archived clauses   : 9
% 0.13/0.37  # Clause-clause subsumption calls (NU) : 0
% 0.13/0.37  # Rec. Clause-clause subsumption calls : 0
% 0.13/0.37  # Non-unit clause-clause subsumptions  : 0
% 0.13/0.37  # Unit Clause-clause subsumption calls : 0
% 0.13/0.37  # Rewrite failures with RHS unbound    : 5
% 0.13/0.37  # BW rewrite match attempts            : 33
% 0.13/0.37  # BW rewrite match successes           : 18
% 0.13/0.37  # Condensation attempts                : 12
% 0.13/0.37  # Condensation successes               : 0
% 0.13/0.37  # Termbank termtop insertions          : 718
% 0.13/0.37  # Search garbage collected termcells   : 2
% 0.13/0.37  
% 0.13/0.37  # -------------------------------------------------
% 0.13/0.37  # User time                : 0.002 s
% 0.13/0.37  # System time              : 0.002 s
% 0.13/0.37  # Total time               : 0.003 s
% 0.13/0.37  # Maximum resident set size: 1548 pages
% 0.13/0.37  
% 0.13/0.37  # -------------------------------------------------
% 0.13/0.37  # User time                : 0.008 s
% 0.13/0.37  # System time              : 0.005 s
% 0.13/0.37  # Total time               : 0.013 s
% 0.13/0.37  # Maximum resident set size: 1688 pages
% 0.13/0.37  % E---3.1 exiting
% 0.13/0.37  % E exiting
%------------------------------------------------------------------------------