TSTP Solution File: LCL083-1 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : LCL083-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n021.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 : 2400s
% WCLimit  : 300s
% DateTime : Tue Oct 10 18:23:40 EDT 2023

% Result   : Unsatisfiable 0.21s 0.52s
% Output   : CNFRefutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   33 (  22 unt;   0 nHn;   6 RR)
%            Number of literals    :   46 (   0 equ;  15 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :  110 (  58 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(condensed_detachment,axiom,
    ( is_a_theorem(X2)
    | ~ is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.rMPxBYT4tD/E---3.1_19457.p',condensed_detachment) ).

cnf(ic_JLukasiewicz,axiom,
    is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1)))),
    file('/export/starexec/sandbox/tmp/tmp.rMPxBYT4tD/E---3.1_19457.p',ic_JLukasiewicz) ).

cnf(prove_ic_3,negated_conjecture,
    ~ is_a_theorem(implies(implies(implies(a,b),a),a)),
    file('/export/starexec/sandbox/tmp/tmp.rMPxBYT4tD/E---3.1_19457.p',prove_ic_3) ).

cnf(c_0_3,axiom,
    ( is_a_theorem(X2)
    | ~ is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(X1) ),
    condensed_detachment ).

cnf(c_0_4,axiom,
    is_a_theorem(implies(implies(implies(X1,X2),X3),implies(implies(X3,X1),implies(X4,X1)))),
    ic_JLukasiewicz ).

cnf(c_0_5,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(X3,X2)))
    | ~ is_a_theorem(implies(implies(X2,X4),X1)) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]) ).

cnf(c_0_6,plain,
    is_a_theorem(implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4)))),
    inference(spm,[status(thm)],[c_0_5,c_0_4]) ).

cnf(c_0_7,plain,
    is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(implies(X4,X2),implies(X5,X2))),implies(X6,implies(implies(X4,X2),implies(X5,X2))))),
    inference(spm,[status(thm)],[c_0_5,c_0_6]) ).

cnf(c_0_8,plain,
    ( is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X4,X3))))
    | ~ is_a_theorem(implies(implies(X5,implies(X3,X6)),implies(implies(X2,X3),implies(X4,X3)))) ),
    inference(spm,[status(thm)],[c_0_3,c_0_7]) ).

cnf(c_0_9,plain,
    is_a_theorem(implies(X1,implies(implies(X2,X3),implies(X3,X3)))),
    inference(spm,[status(thm)],[c_0_8,c_0_6]) ).

cnf(c_0_10,plain,
    ( is_a_theorem(implies(implies(X1,X2),implies(X2,X2)))
    | ~ is_a_theorem(X3) ),
    inference(spm,[status(thm)],[c_0_3,c_0_9]) ).

cnf(c_0_11,plain,
    is_a_theorem(implies(implies(X1,X2),implies(X2,X2))),
    inference(spm,[status(thm)],[c_0_10,c_0_4]) ).

cnf(c_0_12,plain,
    ( is_a_theorem(implies(X1,X1))
    | ~ is_a_theorem(implies(X2,X1)) ),
    inference(spm,[status(thm)],[c_0_3,c_0_11]) ).

cnf(c_0_13,plain,
    is_a_theorem(implies(implies(implies(X1,X1),X2),implies(X3,X2))),
    inference(spm,[status(thm)],[c_0_5,c_0_11]) ).

cnf(c_0_14,plain,
    is_a_theorem(implies(implies(X1,X2),implies(X1,X2))),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_15,plain,
    is_a_theorem(implies(implies(implies(X1,X2),X1),implies(X3,X1))),
    inference(spm,[status(thm)],[c_0_5,c_0_14]) ).

cnf(c_0_16,plain,
    is_a_theorem(implies(implies(implies(X1,X2),implies(X2,X3)),implies(X4,implies(X2,X3)))),
    inference(spm,[status(thm)],[c_0_5,c_0_15]) ).

cnf(c_0_17,plain,
    is_a_theorem(implies(implies(implies(X1,implies(X2,X3)),implies(X4,X2)),implies(X5,implies(X4,X2)))),
    inference(spm,[status(thm)],[c_0_5,c_0_16]) ).

cnf(c_0_18,plain,
    ( is_a_theorem(implies(X1,implies(X2,X3)))
    | ~ is_a_theorem(implies(implies(X4,implies(X3,X5)),implies(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_3,c_0_17]) ).

cnf(c_0_19,plain,
    is_a_theorem(implies(X1,implies(implies(implies(implies(X2,X3),X4),X3),implies(X2,X3)))),
    inference(spm,[status(thm)],[c_0_18,c_0_4]) ).

cnf(c_0_20,plain,
    is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),implies(X4,X2)))),
    inference(spm,[status(thm)],[c_0_8,c_0_4]) ).

cnf(c_0_21,plain,
    ( is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2)))
    | ~ is_a_theorem(X4) ),
    inference(spm,[status(thm)],[c_0_3,c_0_19]) ).

cnf(c_0_22,plain,
    is_a_theorem(implies(implies(implies(implies(implies(X1,X2),X1),implies(X3,X1)),X4),implies(X5,X4))),
    inference(spm,[status(thm)],[c_0_5,c_0_20]) ).

cnf(c_0_23,plain,
    is_a_theorem(implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2))),
    inference(spm,[status(thm)],[c_0_21,c_0_4]) ).

cnf(c_0_24,plain,
    ( is_a_theorem(implies(X1,X2))
    | ~ is_a_theorem(implies(implies(implies(implies(X3,X4),X3),implies(X5,X3)),X2)) ),
    inference(spm,[status(thm)],[c_0_3,c_0_22]) ).

cnf(c_0_25,plain,
    is_a_theorem(implies(implies(implies(X1,X2),implies(implies(X1,X2),X3)),implies(X4,implies(implies(X1,X2),X3)))),
    inference(spm,[status(thm)],[c_0_5,c_0_23]) ).

cnf(c_0_26,plain,
    is_a_theorem(implies(X1,implies(X2,implies(implies(implies(X3,X4),X3),X3)))),
    inference(spm,[status(thm)],[c_0_24,c_0_25]) ).

cnf(c_0_27,plain,
    ( is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2)))
    | ~ is_a_theorem(X4) ),
    inference(spm,[status(thm)],[c_0_3,c_0_26]) ).

cnf(c_0_28,plain,
    is_a_theorem(implies(X1,implies(implies(implies(X2,X3),X2),X2))),
    inference(spm,[status(thm)],[c_0_27,c_0_4]) ).

cnf(c_0_29,plain,
    ( is_a_theorem(implies(implies(implies(X1,X2),X1),X1))
    | ~ is_a_theorem(X3) ),
    inference(spm,[status(thm)],[c_0_3,c_0_28]) ).

cnf(c_0_30,negated_conjecture,
    ~ is_a_theorem(implies(implies(implies(a,b),a),a)),
    prove_ic_3 ).

cnf(c_0_31,plain,
    is_a_theorem(implies(implies(implies(X1,X2),X1),X1)),
    inference(spm,[status(thm)],[c_0_29,c_0_4]) ).

cnf(c_0_32,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_31])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : LCL083-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14  % Command    : run_E %s %d THM
% 0.14/0.35  % Computer : n021.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 2400
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Mon Oct  2 12:31:43 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  Running first-order model finding
% 0.21/0.49  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.rMPxBYT4tD/E---3.1_19457.p
% 0.21/0.52  # Version: 3.1pre001
% 0.21/0.52  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.52  # Starting new_bool_3 with 300s (1) cores
% 0.21/0.52  # Starting new_bool_1 with 300s (1) cores
% 0.21/0.52  # Starting sh5l with 300s (1) cores
% 0.21/0.52  # G-E--_302_C18_F1_URBAN_RG_S04BN with pid 19534 completed with status 0
% 0.21/0.52  # Result found by G-E--_302_C18_F1_URBAN_RG_S04BN
% 0.21/0.52  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.52  # No SInE strategy applied
% 0.21/0.52  # Search class: FHUNF-FFSF22-MFFFFFNN
% 0.21/0.52  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.52  # Starting G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y with 811s (1) cores
% 0.21/0.52  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.21/0.52  # Starting new_bool_3 with 136s (1) cores
% 0.21/0.52  # Starting U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.21/0.52  # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S00 with 136s (1) cores
% 0.21/0.52  # U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with pid 19543 completed with status 0
% 0.21/0.52  # Result found by U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN
% 0.21/0.52  # Preprocessing class: FSSSSMSSSSSNFFN.
% 0.21/0.52  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.21/0.52  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 1500s (5) cores
% 0.21/0.52  # No SInE strategy applied
% 0.21/0.52  # Search class: FHUNF-FFSF22-MFFFFFNN
% 0.21/0.52  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.21/0.52  # Starting G-E--_060_C18_F1_PI_AE_Q4_CS_SP_S0Y with 811s (1) cores
% 0.21/0.52  # Starting G-E--_302_C18_F1_URBAN_RG_S04BN with 151s (1) cores
% 0.21/0.52  # Starting new_bool_3 with 136s (1) cores
% 0.21/0.52  # Starting U----_206c_00_C07_23_F1_SE_PI_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.21/0.52  # Preprocessing time       : 0.001 s
% 0.21/0.52  # Presaturation interreduction done
% 0.21/0.52  
% 0.21/0.52  # Proof found!
% 0.21/0.52  # SZS status Unsatisfiable
% 0.21/0.52  # SZS output start CNFRefutation
% See solution above
% 0.21/0.52  # Parsed axioms                        : 3
% 0.21/0.52  # Removed by relevancy pruning/SinE    : 0
% 0.21/0.52  # Initial clauses                      : 3
% 0.21/0.52  # Removed in clause preprocessing      : 0
% 0.21/0.52  # Initial clauses in saturation        : 3
% 0.21/0.52  # Processed clauses                    : 218
% 0.21/0.52  # ...of these trivial                  : 20
% 0.21/0.52  # ...subsumed                          : 80
% 0.21/0.52  # ...remaining for further processing  : 118
% 0.21/0.52  # Other redundant clauses eliminated   : 0
% 0.21/0.52  # Clauses deleted for lack of memory   : 0
% 0.21/0.52  # Backward-subsumed                    : 1
% 0.21/0.52  # Backward-rewritten                   : 25
% 0.21/0.52  # Generated clauses                    : 1641
% 0.21/0.52  # ...of the previous two non-redundant : 826
% 0.21/0.52  # ...aggressively subsumed             : 0
% 0.21/0.52  # Contextual simplify-reflections      : 0
% 0.21/0.52  # Paramodulations                      : 1641
% 0.21/0.52  # Factorizations                       : 0
% 0.21/0.52  # NegExts                              : 0
% 0.21/0.52  # Equation resolutions                 : 0
% 0.21/0.52  # Total rewrite steps                  : 844
% 0.21/0.52  # Propositional unsat checks           : 0
% 0.21/0.52  #    Propositional check models        : 0
% 0.21/0.52  #    Propositional check unsatisfiable : 0
% 0.21/0.52  #    Propositional clauses             : 0
% 0.21/0.52  #    Propositional clauses after purity: 0
% 0.21/0.52  #    Propositional unsat core size     : 0
% 0.21/0.52  #    Propositional preprocessing time  : 0.000
% 0.21/0.52  #    Propositional encoding time       : 0.000
% 0.21/0.52  #    Propositional solver time         : 0.000
% 0.21/0.52  #    Success case prop preproc time    : 0.000
% 0.21/0.52  #    Success case prop encoding time   : 0.000
% 0.21/0.52  #    Success case prop solver time     : 0.000
% 0.21/0.52  # Current number of processed clauses  : 89
% 0.21/0.52  #    Positive orientable unit clauses  : 62
% 0.21/0.52  #    Positive unorientable unit clauses: 0
% 0.21/0.52  #    Negative unit clauses             : 1
% 0.21/0.52  #    Non-unit-clauses                  : 26
% 0.21/0.52  # Current number of unprocessed clauses: 224
% 0.21/0.52  # ...number of literals in the above   : 315
% 0.21/0.52  # Current number of archived formulas  : 0
% 0.21/0.52  # Current number of archived clauses   : 29
% 0.21/0.52  # Clause-clause subsumption calls (NU) : 479
% 0.21/0.52  # Rec. Clause-clause subsumption calls : 479
% 0.21/0.52  # Non-unit clause-clause subsumptions  : 81
% 0.21/0.52  # Unit Clause-clause subsumption calls : 62
% 0.21/0.52  # Rewrite failures with RHS unbound    : 0
% 0.21/0.52  # BW rewrite match attempts            : 2231
% 0.21/0.52  # BW rewrite match successes           : 25
% 0.21/0.52  # Condensation attempts                : 0
% 0.21/0.52  # Condensation successes               : 0
% 0.21/0.52  # Termbank termtop insertions          : 17183
% 0.21/0.52  
% 0.21/0.52  # -------------------------------------------------
% 0.21/0.52  # User time                : 0.015 s
% 0.21/0.52  # System time              : 0.004 s
% 0.21/0.52  # Total time               : 0.019 s
% 0.21/0.52  # Maximum resident set size: 1580 pages
% 0.21/0.52  
% 0.21/0.52  # -------------------------------------------------
% 0.21/0.52  # User time                : 0.084 s
% 0.21/0.52  # System time              : 0.010 s
% 0.21/0.52  # Total time               : 0.093 s
% 0.21/0.52  # Maximum resident set size: 1676 pages
% 0.21/0.52  % E---3.1 exiting
%------------------------------------------------------------------------------