TSTP Solution File: COM003-2 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : COM003-2 : TPTP v8.2.0. Released v1.1.0.
% 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 : 300s
% WCLimit  : 300s
% DateTime : Mon May 20 19:08:02 EDT 2024

% Result   : Unsatisfiable 0.20s 0.48s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   30 (   7 unt;   0 nHn;  22 RR)
%            Number of literals    :   53 (   0 equ;  29 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-4 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   67 (  35 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(program_halts2_halts3_outputs1,axiom,
    ( program_halts2(X2,X3)
    | ~ program_halts2_halts3_outputs(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',program_halts2_halts3_outputs1) ).

cnf(axiom2_1,hypothesis,
    ( program_halts2_halts3_outputs(X1,X2,X3,good)
    | ~ program_program_decides(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom2_1) ).

cnf(axiom1_1,hypothesis,
    ( program_program_decides(c1)
    | ~ algorithm_program_decides(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom1_1) ).

cnf(program_not_halts3a,axiom,
    ( ~ program_not_halts2(X1,X2)
    | ~ halts2(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',program_not_halts3a) ).

cnf(program_halts3a,axiom,
    ( halts2(X1,X2)
    | ~ program_halts2(X1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',program_halts3a) ).

cnf(prove_algorithm_does_not_exist,negated_conjecture,
    algorithm_program_decides(c4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_algorithm_does_not_exist) ).

cnf(program_not_halts2_halts3_outputs1,axiom,
    ( program_not_halts2(X2,X3)
    | ~ program_not_halts2_halts3_outputs(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',program_not_halts2_halts3_outputs1) ).

cnf(axiom2_2,hypothesis,
    ( program_not_halts2_halts3_outputs(X1,X2,X3,bad)
    | ~ program_program_decides(X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom2_2) ).

cnf(c_0_8,plain,
    ( program_halts2(X2,X3)
    | ~ program_halts2_halts3_outputs(X1,X2,X3,X4) ),
    inference(fof_simplification,[status(thm)],[program_halts2_halts3_outputs1]) ).

cnf(c_0_9,hypothesis,
    ( program_halts2_halts3_outputs(X1,X2,X3,good)
    | ~ program_program_decides(X1) ),
    inference(fof_simplification,[status(thm)],[axiom2_1]) ).

cnf(c_0_10,hypothesis,
    ( program_program_decides(c1)
    | ~ algorithm_program_decides(X1) ),
    inference(fof_simplification,[status(thm)],[axiom1_1]) ).

cnf(c_0_11,plain,
    ( ~ program_not_halts2(X1,X2)
    | ~ halts2(X1,X2) ),
    inference(fof_simplification,[status(thm)],[program_not_halts3a]) ).

cnf(c_0_12,plain,
    ( halts2(X1,X2)
    | ~ program_halts2(X1,X2) ),
    inference(fof_simplification,[status(thm)],[program_halts3a]) ).

cnf(c_0_13,plain,
    ( program_halts2(X2,X3)
    | ~ program_halts2_halts3_outputs(X1,X2,X3,X4) ),
    c_0_8 ).

cnf(c_0_14,hypothesis,
    ( program_halts2_halts3_outputs(X1,X2,X3,good)
    | ~ program_program_decides(X1) ),
    c_0_9 ).

cnf(c_0_15,hypothesis,
    ( program_program_decides(c1)
    | ~ algorithm_program_decides(X1) ),
    c_0_10 ).

cnf(c_0_16,negated_conjecture,
    algorithm_program_decides(c4),
    prove_algorithm_does_not_exist ).

cnf(c_0_17,plain,
    ( ~ program_not_halts2(X1,X2)
    | ~ halts2(X1,X2) ),
    c_0_11 ).

cnf(c_0_18,plain,
    ( halts2(X1,X2)
    | ~ program_halts2(X1,X2) ),
    c_0_12 ).

cnf(c_0_19,hypothesis,
    ( program_halts2(X1,X2)
    | ~ program_program_decides(X3) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]) ).

cnf(c_0_20,negated_conjecture,
    program_program_decides(c1),
    inference(spm,[status(thm)],[c_0_15,c_0_16]) ).

cnf(c_0_21,plain,
    ( program_not_halts2(X2,X3)
    | ~ program_not_halts2_halts3_outputs(X1,X2,X3,X4) ),
    inference(fof_simplification,[status(thm)],[program_not_halts2_halts3_outputs1]) ).

cnf(c_0_22,hypothesis,
    ( program_not_halts2_halts3_outputs(X1,X2,X3,bad)
    | ~ program_program_decides(X1) ),
    inference(fof_simplification,[status(thm)],[axiom2_2]) ).

cnf(c_0_23,plain,
    ( ~ program_not_halts2(X1,X2)
    | ~ program_halts2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_17,c_0_18]) ).

cnf(c_0_24,negated_conjecture,
    program_halts2(X1,X2),
    inference(spm,[status(thm)],[c_0_19,c_0_20]) ).

cnf(c_0_25,plain,
    ( program_not_halts2(X2,X3)
    | ~ program_not_halts2_halts3_outputs(X1,X2,X3,X4) ),
    c_0_21 ).

cnf(c_0_26,hypothesis,
    ( program_not_halts2_halts3_outputs(X1,X2,X3,bad)
    | ~ program_program_decides(X1) ),
    c_0_22 ).

cnf(c_0_27,plain,
    ~ program_not_halts2(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23,c_0_24])]) ).

cnf(c_0_28,hypothesis,
    ~ program_program_decides(X1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_26]),c_0_27]) ).

cnf(c_0_29,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_20,c_0_28]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : COM003-2 : TPTP v8.2.0. Released v1.1.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Sun May 19 10:16:52 EDT 2024
% 0.14/0.34  % CPUTime    : 
% 0.20/0.47  Running first-order model finding
% 0.20/0.47  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
% 0.20/0.48  # Version: 3.1.0
% 0.20/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48  # Starting new_bool_1 with 300s (1) cores
% 0.20/0.48  # Starting sh5l with 300s (1) cores
% 0.20/0.48  # new_bool_3 with pid 26520 completed with status 0
% 0.20/0.48  # Result found by new_bool_3
% 0.20/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.48  # Search class: FGHNF-FFMF11-SFFFFFNN
% 0.20/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 181s (1) cores
% 0.20/0.48  # G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with pid 26525 completed with status 0
% 0.20/0.48  # Result found by G-E--_208_C47_F1_SE_CS_SP_PS_S0Y
% 0.20/0.48  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.20/0.48  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.20/0.48  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.20/0.48  # Starting new_bool_3 with 300s (1) cores
% 0.20/0.48  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.20/0.48  # Search class: FGHNF-FFMF11-SFFFFFNN
% 0.20/0.48  # Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.20/0.48  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 181s (1) cores
% 0.20/0.48  # Preprocessing time       : 0.001 s
% 0.20/0.48  # Presaturation interreduction done
% 0.20/0.48  
% 0.20/0.48  # Proof found!
% 0.20/0.48  # SZS status Unsatisfiable
% 0.20/0.48  # SZS output start CNFRefutation
% See solution above
% 0.20/0.48  # Parsed axioms                        : 43
% 0.20/0.48  # Removed by relevancy pruning/SinE    : 10
% 0.20/0.48  # Initial clauses                      : 33
% 0.20/0.48  # Removed in clause preprocessing      : 0
% 0.20/0.48  # Initial clauses in saturation        : 33
% 0.20/0.48  # Processed clauses                    : 69
% 0.20/0.48  # ...of these trivial                  : 1
% 0.20/0.48  # ...subsumed                          : 1
% 0.20/0.48  # ...remaining for further processing  : 67
% 0.20/0.48  # Other redundant clauses eliminated   : 0
% 0.20/0.48  # Clauses deleted for lack of memory   : 0
% 0.20/0.48  # Backward-subsumed                    : 6
% 0.20/0.48  # Backward-rewritten                   : 11
% 0.20/0.48  # Generated clauses                    : 15
% 0.20/0.48  # ...of the previous two non-redundant : 13
% 0.20/0.48  # ...aggressively subsumed             : 0
% 0.20/0.48  # Contextual simplify-reflections      : 0
% 0.20/0.48  # Paramodulations                      : 14
% 0.20/0.48  # Factorizations                       : 0
% 0.20/0.48  # NegExts                              : 0
% 0.20/0.48  # Equation resolutions                 : 0
% 0.20/0.48  # Disequality decompositions           : 0
% 0.20/0.48  # Total rewrite steps                  : 13
% 0.20/0.48  # ...of those cached                   : 7
% 0.20/0.48  # Propositional unsat checks           : 0
% 0.20/0.48  #    Propositional check models        : 0
% 0.20/0.48  #    Propositional check unsatisfiable : 0
% 0.20/0.48  #    Propositional clauses             : 0
% 0.20/0.48  #    Propositional clauses after purity: 0
% 0.20/0.48  #    Propositional unsat core size     : 0
% 0.20/0.48  #    Propositional preprocessing time  : 0.000
% 0.20/0.48  #    Propositional encoding time       : 0.000
% 0.20/0.48  #    Propositional solver time         : 0.000
% 0.20/0.48  #    Success case prop preproc time    : 0.000
% 0.20/0.48  #    Success case prop encoding time   : 0.000
% 0.20/0.48  #    Success case prop solver time     : 0.000
% 0.20/0.48  # Current number of processed clauses  : 16
% 0.20/0.48  #    Positive orientable unit clauses  : 5
% 0.20/0.48  #    Positive unorientable unit clauses: 0
% 0.20/0.48  #    Negative unit clauses             : 2
% 0.20/0.48  #    Non-unit-clauses                  : 9
% 0.20/0.48  # Current number of unprocessed clauses: 10
% 0.20/0.48  # ...number of literals in the above   : 36
% 0.20/0.48  # Current number of archived formulas  : 0
% 0.20/0.48  # Current number of archived clauses   : 51
% 0.20/0.48  # Clause-clause subsumption calls (NU) : 360
% 0.20/0.48  # Rec. Clause-clause subsumption calls : 208
% 0.20/0.48  # Non-unit clause-clause subsumptions  : 0
% 0.20/0.48  # Unit Clause-clause subsumption calls : 11
% 0.20/0.48  # Rewrite failures with RHS unbound    : 0
% 0.20/0.48  # BW rewrite match attempts            : 5
% 0.20/0.48  # BW rewrite match successes           : 5
% 0.20/0.48  # Condensation attempts                : 0
% 0.20/0.48  # Condensation successes               : 0
% 0.20/0.48  # Termbank termtop insertions          : 1421
% 0.20/0.48  # Search garbage collected termcells   : 113
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.007 s
% 0.20/0.48  # System time              : 0.000 s
% 0.20/0.48  # Total time               : 0.007 s
% 0.20/0.48  # Maximum resident set size: 1756 pages
% 0.20/0.48  
% 0.20/0.48  # -------------------------------------------------
% 0.20/0.48  # User time                : 0.008 s
% 0.20/0.48  # System time              : 0.003 s
% 0.20/0.48  # Total time               : 0.011 s
% 0.20/0.48  # Maximum resident set size: 1756 pages
% 0.20/0.48  % E---3.1 exiting
%------------------------------------------------------------------------------