TSTP Solution File: LCL113-2 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : LCL113-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n012.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 08:26:26 EDT 2024

% Result   : Unsatisfiable 0.15s 0.41s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   30 (  30 unt;   0 nHn;   4 RR)
%            Number of literals    :   30 (  29 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :   43 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(wajsberg_2,axiom,
    implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
    file('/export/starexec/sandbox/tmp/tmp.uzJcpiVQMm/E---3.1_20868.p',wajsberg_2) ).

cnf(wajsberg_1,axiom,
    implies(truth,X1) = X1,
    file('/export/starexec/sandbox/tmp/tmp.uzJcpiVQMm/E---3.1_20868.p',wajsberg_1) ).

cnf(wajsberg_3,axiom,
    implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
    file('/export/starexec/sandbox/tmp/tmp.uzJcpiVQMm/E---3.1_20868.p',wajsberg_3) ).

cnf(wajsberg_4,axiom,
    implies(implies(not(X1),not(X2)),implies(X2,X1)) = truth,
    file('/export/starexec/sandbox/tmp/tmp.uzJcpiVQMm/E---3.1_20868.p',wajsberg_4) ).

cnf(prove_mv_33,negated_conjecture,
    implies(implies(not(x),y),implies(not(y),x)) != truth,
    file('/export/starexec/sandbox/tmp/tmp.uzJcpiVQMm/E---3.1_20868.p',prove_mv_33) ).

cnf(c_0_5,axiom,
    implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))) = truth,
    wajsberg_2 ).

cnf(c_0_6,axiom,
    implies(truth,X1) = X1,
    wajsberg_1 ).

cnf(c_0_7,plain,
    implies(X1,implies(implies(X1,X2),X2)) = truth,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_6]),c_0_6]) ).

cnf(c_0_8,axiom,
    implies(implies(X1,X2),X2) = implies(implies(X2,X1),X1),
    wajsberg_3 ).

cnf(c_0_9,plain,
    implies(X1,implies(implies(X2,X1),X1)) = truth,
    inference(spm,[status(thm)],[c_0_7,c_0_8]) ).

cnf(c_0_10,plain,
    implies(X1,X1) = truth,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_6]) ).

cnf(c_0_11,plain,
    implies(X1,truth) = truth,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_6]),c_0_10]) ).

cnf(c_0_12,plain,
    implies(X1,implies(X2,X1)) = truth,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_11]),c_0_6]),c_0_6]) ).

cnf(c_0_13,plain,
    implies(implies(implies(X1,X2),X3),implies(X2,X3)) = truth,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_12]),c_0_6]) ).

cnf(c_0_14,axiom,
    implies(implies(not(X1),not(X2)),implies(X2,X1)) = truth,
    wajsberg_4 ).

cnf(c_0_15,plain,
    implies(not(X1),implies(X1,X2)) = truth,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_6]) ).

cnf(c_0_16,plain,
    implies(not(truth),X1) = truth,
    inference(spm,[status(thm)],[c_0_15,c_0_6]) ).

cnf(c_0_17,plain,
    implies(implies(X1,not(truth)),not(truth)) = X1,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_16]),c_0_6]) ).

cnf(c_0_18,plain,
    implies(not(implies(X1,not(truth))),X1) = truth,
    inference(spm,[status(thm)],[c_0_15,c_0_17]) ).

cnf(c_0_19,plain,
    implies(X1,implies(not(X1),not(truth))) = truth,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_18]),c_0_6]) ).

cnf(c_0_20,plain,
    implies(implies(not(X1),not(truth)),X1) = truth,
    inference(spm,[status(thm)],[c_0_14,c_0_6]) ).

cnf(c_0_21,plain,
    implies(not(X1),not(truth)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_19]),c_0_6]),c_0_20]),c_0_6]) ).

cnf(c_0_22,plain,
    implies(X1,not(truth)) = not(X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_21]),c_0_16]),c_0_6]) ).

cnf(c_0_23,plain,
    implies(implies(X1,X2),implies(not(X2),not(X1))) = truth,
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_5,c_0_22]),c_0_22]) ).

cnf(c_0_24,negated_conjecture,
    implies(implies(not(x),y),implies(not(y),x)) != truth,
    inference(fof_simplification,[status(thm)],[prove_mv_33]) ).

cnf(c_0_25,plain,
    implies(not(X1),not(X2)) = implies(X2,X1),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_23]),c_0_6]),c_0_14]),c_0_6]) ).

cnf(c_0_26,plain,
    not(not(X1)) = X1,
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_22]),c_0_22]) ).

cnf(c_0_27,negated_conjecture,
    implies(implies(not(x),y),implies(not(y),x)) != truth,
    c_0_24 ).

cnf(c_0_28,plain,
    implies(not(X1),X2) = implies(not(X2),X1),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_29,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28]),c_0_10])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem    : LCL113-2 : TPTP v8.1.2. Released v1.0.0.
% 0.02/0.10  % Command    : run_E %s %d THM
% 0.09/0.30  % Computer : n012.cluster.edu
% 0.09/0.30  % Model    : x86_64 x86_64
% 0.09/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30  % Memory   : 8042.1875MB
% 0.09/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30  % CPULimit   : 300
% 0.09/0.30  % WCLimit    : 300
% 0.09/0.30  % DateTime   : Fri May  3 08:46:10 EDT 2024
% 0.09/0.30  % CPUTime    : 
% 0.15/0.39  Running first-order model finding
% 0.15/0.39  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/tmp/tmp.uzJcpiVQMm/E---3.1_20868.p
% 0.15/0.41  # Version: 3.1.0
% 0.15/0.41  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.41  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.41  # Starting new_bool_3 with 300s (1) cores
% 0.15/0.41  # Starting new_bool_1 with 300s (1) cores
% 0.15/0.41  # Starting sh5l with 300s (1) cores
% 0.15/0.41  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 20946 completed with status 0
% 0.15/0.41  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.15/0.41  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.41  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.41  # No SInE strategy applied
% 0.15/0.41  # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.15/0.41  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.41  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 0.15/0.41  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.15/0.41  # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.15/0.41  # Starting U----_043_B31_F1_PI_AE_CS_SP_S2S with 136s (1) cores
% 0.15/0.41  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S5PRR_S2S with 136s (1) cores
% 0.15/0.41  # G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with pid 20953 completed with status 0
% 0.15/0.41  # Result found by G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y
% 0.15/0.41  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.15/0.41  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.15/0.41  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.15/0.41  # No SInE strategy applied
% 0.15/0.41  # Search class: FUUPM-FFSF21-MFFFFFNN
% 0.15/0.41  # Scheduled 7 strats onto 5 cores with 1500 seconds (1500 total)
% 0.15/0.41  # Starting H----_047_C09_12_F1_AE_ND_CS_SP_S2S with 675s (1) cores
% 0.15/0.41  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.15/0.41  # Starting G-E--_060_C18_F1_PI_SE_CS_SP_CO_S0Y with 136s (1) cores
% 0.15/0.41  # Preprocessing time       : 0.001 s
% 0.15/0.41  
% 0.15/0.41  # Proof found!
% 0.15/0.41  # SZS status Unsatisfiable
% 0.15/0.41  # SZS output start CNFRefutation
% See solution above
% 0.15/0.41  # Parsed axioms                        : 5
% 0.15/0.41  # Removed by relevancy pruning/SinE    : 0
% 0.15/0.41  # Initial clauses                      : 5
% 0.15/0.41  # Removed in clause preprocessing      : 0
% 0.15/0.41  # Initial clauses in saturation        : 5
% 0.15/0.41  # Processed clauses                    : 87
% 0.15/0.41  # ...of these trivial                  : 48
% 0.15/0.41  # ...subsumed                          : 0
% 0.15/0.41  # ...remaining for further processing  : 39
% 0.15/0.41  # Other redundant clauses eliminated   : 0
% 0.15/0.41  # Clauses deleted for lack of memory   : 0
% 0.15/0.41  # Backward-subsumed                    : 0
% 0.15/0.41  # Backward-rewritten                   : 13
% 0.15/0.41  # Generated clauses                    : 1433
% 0.15/0.41  # ...of the previous two non-redundant : 376
% 0.15/0.41  # ...aggressively subsumed             : 0
% 0.15/0.41  # Contextual simplify-reflections      : 0
% 0.15/0.41  # Paramodulations                      : 1433
% 0.15/0.41  # Factorizations                       : 0
% 0.15/0.41  # NegExts                              : 0
% 0.15/0.41  # Equation resolutions                 : 0
% 0.15/0.41  # Disequality decompositions           : 0
% 0.15/0.41  # Total rewrite steps                  : 1963
% 0.15/0.41  # ...of those cached                   : 1498
% 0.15/0.41  # Propositional unsat checks           : 0
% 0.15/0.41  #    Propositional check models        : 0
% 0.15/0.41  #    Propositional check unsatisfiable : 0
% 0.15/0.41  #    Propositional clauses             : 0
% 0.15/0.41  #    Propositional clauses after purity: 0
% 0.15/0.41  #    Propositional unsat core size     : 0
% 0.15/0.41  #    Propositional preprocessing time  : 0.000
% 0.15/0.41  #    Propositional encoding time       : 0.000
% 0.15/0.41  #    Propositional solver time         : 0.000
% 0.15/0.41  #    Success case prop preproc time    : 0.000
% 0.15/0.41  #    Success case prop encoding time   : 0.000
% 0.15/0.41  #    Success case prop solver time     : 0.000
% 0.15/0.41  # Current number of processed clauses  : 26
% 0.15/0.41  #    Positive orientable unit clauses  : 24
% 0.15/0.41  #    Positive unorientable unit clauses: 2
% 0.15/0.41  #    Negative unit clauses             : 0
% 0.15/0.41  #    Non-unit-clauses                  : 0
% 0.15/0.41  # Current number of unprocessed clauses: 277
% 0.15/0.41  # ...number of literals in the above   : 277
% 0.15/0.41  # Current number of archived formulas  : 0
% 0.15/0.41  # Current number of archived clauses   : 13
% 0.15/0.41  # Clause-clause subsumption calls (NU) : 0
% 0.15/0.41  # Rec. Clause-clause subsumption calls : 0
% 0.15/0.41  # Non-unit clause-clause subsumptions  : 0
% 0.15/0.41  # Unit Clause-clause subsumption calls : 1
% 0.15/0.41  # Rewrite failures with RHS unbound    : 0
% 0.15/0.41  # BW rewrite match attempts            : 87
% 0.15/0.41  # BW rewrite match successes           : 30
% 0.15/0.41  # Condensation attempts                : 87
% 0.15/0.41  # Condensation successes               : 0
% 0.15/0.41  # Termbank termtop insertions          : 10445
% 0.15/0.41  # Search garbage collected termcells   : 2
% 0.15/0.41  
% 0.15/0.41  # -------------------------------------------------
% 0.15/0.41  # User time                : 0.007 s
% 0.15/0.41  # System time              : 0.003 s
% 0.15/0.41  # Total time               : 0.010 s
% 0.15/0.41  # Maximum resident set size: 1548 pages
% 0.15/0.41  
% 0.15/0.41  # -------------------------------------------------
% 0.15/0.41  # User time                : 0.038 s
% 0.15/0.41  # System time              : 0.010 s
% 0.15/0.41  # Total time               : 0.049 s
% 0.15/0.41  # Maximum resident set size: 1684 pages
% 0.15/0.41  % E---3.1 exiting
%------------------------------------------------------------------------------