TSTP Solution File: COM003-2 by E-SAT---3.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1
% Problem  : COM003-2 : TPTP v8.1.2. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n003.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 17:21:55 EDT 2023

% Result   : Unsatisfiable 0.18s 0.46s
% Output   : CNFRefutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   23 (   7 unt;   0 nHn;  17 RR)
%            Number of literals    :   39 (   0 equ;  21 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   :   48 (  26 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(program_halts2_halts3_outputs1,axiom,
    ( program_halts2(X2,X3)
    | ~ program_halts2_halts3_outputs(X1,X2,X3,X4) ),
    file('/export/starexec/sandbox/tmp/tmp.hZGK3R7qf9/E---3.1_12798.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/tmp/tmp.hZGK3R7qf9/E---3.1_12798.p',axiom2_1) ).

cnf(axiom1_1,hypothesis,
    ( program_program_decides(c1)
    | ~ algorithm_program_decides(X1) ),
    file('/export/starexec/sandbox/tmp/tmp.hZGK3R7qf9/E---3.1_12798.p',axiom1_1) ).

cnf(prove_algorithm_does_not_exist,negated_conjecture,
    algorithm_program_decides(c4),
    file('/export/starexec/sandbox/tmp/tmp.hZGK3R7qf9/E---3.1_12798.p',prove_algorithm_does_not_exist) ).

cnf(program_not_halts3a,axiom,
    ( ~ program_not_halts2(X1,X2)
    | ~ halts2(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.hZGK3R7qf9/E---3.1_12798.p',program_not_halts3a) ).

cnf(program_halts3a,axiom,
    ( halts2(X1,X2)
    | ~ program_halts2(X1,X2) ),
    file('/export/starexec/sandbox/tmp/tmp.hZGK3R7qf9/E---3.1_12798.p',program_halts3a) ).

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/tmp/tmp.hZGK3R7qf9/E---3.1_12798.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/tmp/tmp.hZGK3R7qf9/E---3.1_12798.p',axiom2_2) ).

cnf(c_0_8,axiom,
    ( program_halts2(X2,X3)
    | ~ program_halts2_halts3_outputs(X1,X2,X3,X4) ),
    program_halts2_halts3_outputs1 ).

cnf(c_0_9,hypothesis,
    ( program_halts2_halts3_outputs(X1,X2,X3,good)
    | ~ program_program_decides(X1) ),
    axiom2_1 ).

cnf(c_0_10,hypothesis,
    ( program_program_decides(c1)
    | ~ algorithm_program_decides(X1) ),
    axiom1_1 ).

cnf(c_0_11,negated_conjecture,
    algorithm_program_decides(c4),
    prove_algorithm_does_not_exist ).

cnf(c_0_12,axiom,
    ( ~ program_not_halts2(X1,X2)
    | ~ halts2(X1,X2) ),
    program_not_halts3a ).

cnf(c_0_13,axiom,
    ( halts2(X1,X2)
    | ~ program_halts2(X1,X2) ),
    program_halts3a ).

cnf(c_0_14,hypothesis,
    ( program_halts2(X1,X2)
    | ~ program_program_decides(X3) ),
    inference(spm,[status(thm)],[c_0_8,c_0_9]) ).

cnf(c_0_15,negated_conjecture,
    program_program_decides(c1),
    inference(spm,[status(thm)],[c_0_10,c_0_11]) ).

cnf(c_0_16,plain,
    ( ~ program_not_halts2(X1,X2)
    | ~ program_halts2(X1,X2) ),
    inference(spm,[status(thm)],[c_0_12,c_0_13]) ).

cnf(c_0_17,negated_conjecture,
    program_halts2(X1,X2),
    inference(spm,[status(thm)],[c_0_14,c_0_15]) ).

cnf(c_0_18,axiom,
    ( program_not_halts2(X2,X3)
    | ~ program_not_halts2_halts3_outputs(X1,X2,X3,X4) ),
    program_not_halts2_halts3_outputs1 ).

cnf(c_0_19,hypothesis,
    ( program_not_halts2_halts3_outputs(X1,X2,X3,bad)
    | ~ program_program_decides(X1) ),
    axiom2_2 ).

cnf(c_0_20,plain,
    ~ program_not_halts2(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_17])]) ).

cnf(c_0_21,hypothesis,
    ~ program_program_decides(X1),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_18,c_0_19]),c_0_20]) ).

cnf(c_0_22,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[c_0_15,c_0_21]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : COM003-2 : TPTP v8.1.2. Released v1.1.0.
% 0.09/0.12  % Command    : run_E %s %d THM
% 0.12/0.33  % Computer : n003.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 2400
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Oct  3 05:02:18 EDT 2023
% 0.12/0.33  % CPUTime    : 
% 0.18/0.45  Running first-order model finding
% 0.18/0.45  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.hZGK3R7qf9/E---3.1_12798.p
% 0.18/0.46  # Version: 3.1pre001
% 0.18/0.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.46  # Starting new_bool_3 with 300s (1) cores
% 0.18/0.46  # Starting new_bool_1 with 300s (1) cores
% 0.18/0.46  # Starting sh5l with 300s (1) cores
% 0.18/0.46  # G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with pid 12952 completed with status 0
% 0.18/0.46  # Result found by G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN
% 0.18/0.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.46  # No SInE strategy applied
% 0.18/0.46  # Search class: FGHNF-FFMF11-SFFFFFNN
% 0.18/0.46  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.46  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 811s (1) cores
% 0.18/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 151s (1) cores
% 0.18/0.46  # Starting G-E--_208_C02CMA_F1_SE_CS_SP_PS_S5PRR_RG_S04AN with 136s (1) cores
% 0.18/0.46  # Starting G-N--_023_B07_F1_SP_PI_Q7_CS_SP_CO_S5PRR_S0Y with 136s (1) cores
% 0.18/0.46  # Starting new_bool_3 with 136s (1) cores
% 0.18/0.46  # G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with pid 12956 completed with status 0
% 0.18/0.46  # Result found by G-E--_208_C47_F1_SE_CS_SP_PS_S0Y
% 0.18/0.46  # Preprocessing class: FSMSSMSSSSSNFFN.
% 0.18/0.46  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.18/0.46  # Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.18/0.46  # No SInE strategy applied
% 0.18/0.46  # Search class: FGHNF-FFMF11-SFFFFFNN
% 0.18/0.46  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 0.18/0.46  # Starting G-E--_208_C47_F1_SE_CS_SP_PS_S0Y with 811s (1) cores
% 0.18/0.46  # Preprocessing time       : 0.001 s
% 0.18/0.46  # Presaturation interreduction done
% 0.18/0.46  
% 0.18/0.46  # Proof found!
% 0.18/0.46  # SZS status Unsatisfiable
% 0.18/0.46  # SZS output start CNFRefutation
% See solution above
% 0.18/0.46  # Parsed axioms                        : 43
% 0.18/0.46  # Removed by relevancy pruning/SinE    : 0
% 0.18/0.46  # Initial clauses                      : 43
% 0.18/0.46  # Removed in clause preprocessing      : 0
% 0.18/0.46  # Initial clauses in saturation        : 43
% 0.18/0.46  # Processed clauses                    : 79
% 0.18/0.46  # ...of these trivial                  : 2
% 0.18/0.46  # ...subsumed                          : 0
% 0.18/0.46  # ...remaining for further processing  : 77
% 0.18/0.46  # Other redundant clauses eliminated   : 0
% 0.18/0.46  # Clauses deleted for lack of memory   : 0
% 0.18/0.46  # Backward-subsumed                    : 6
% 0.18/0.46  # Backward-rewritten                   : 12
% 0.18/0.46  # Generated clauses                    : 13
% 0.18/0.46  # ...of the previous two non-redundant : 12
% 0.18/0.46  # ...aggressively subsumed             : 0
% 0.18/0.46  # Contextual simplify-reflections      : 0
% 0.18/0.46  # Paramodulations                      : 12
% 0.18/0.46  # Factorizations                       : 0
% 0.18/0.46  # NegExts                              : 0
% 0.18/0.46  # Equation resolutions                 : 0
% 0.18/0.46  # Total rewrite steps                  : 15
% 0.18/0.46  # Propositional unsat checks           : 0
% 0.18/0.46  #    Propositional check models        : 0
% 0.18/0.46  #    Propositional check unsatisfiable : 0
% 0.18/0.46  #    Propositional clauses             : 0
% 0.18/0.46  #    Propositional clauses after purity: 0
% 0.18/0.46  #    Propositional unsat core size     : 0
% 0.18/0.46  #    Propositional preprocessing time  : 0.000
% 0.18/0.46  #    Propositional encoding time       : 0.000
% 0.18/0.46  #    Propositional solver time         : 0.000
% 0.18/0.46  #    Success case prop preproc time    : 0.000
% 0.18/0.46  #    Success case prop encoding time   : 0.000
% 0.18/0.46  #    Success case prop solver time     : 0.000
% 0.18/0.46  # Current number of processed clauses  : 15
% 0.18/0.46  #    Positive orientable unit clauses  : 5
% 0.18/0.46  #    Positive unorientable unit clauses: 0
% 0.18/0.46  #    Negative unit clauses             : 3
% 0.18/0.46  #    Non-unit-clauses                  : 7
% 0.18/0.46  # Current number of unprocessed clauses: 19
% 0.18/0.46  # ...number of literals in the above   : 59
% 0.18/0.46  # Current number of archived formulas  : 0
% 0.18/0.46  # Current number of archived clauses   : 62
% 0.18/0.46  # Clause-clause subsumption calls (NU) : 915
% 0.18/0.46  # Rec. Clause-clause subsumption calls : 600
% 0.18/0.46  # Non-unit clause-clause subsumptions  : 0
% 0.18/0.46  # Unit Clause-clause subsumption calls : 20
% 0.18/0.46  # Rewrite failures with RHS unbound    : 0
% 0.18/0.46  # BW rewrite match attempts            : 6
% 0.18/0.46  # BW rewrite match successes           : 6
% 0.18/0.46  # Condensation attempts                : 0
% 0.18/0.46  # Condensation successes               : 0
% 0.18/0.46  # Termbank termtop insertions          : 1294
% 0.18/0.46  
% 0.18/0.46  # -------------------------------------------------
% 0.18/0.46  # User time                : 0.003 s
% 0.18/0.46  # System time              : 0.002 s
% 0.18/0.46  # Total time               : 0.005 s
% 0.18/0.46  # Maximum resident set size: 1664 pages
% 0.18/0.46  
% 0.18/0.46  # -------------------------------------------------
% 0.18/0.46  # User time                : 0.014 s
% 0.18/0.46  # System time              : 0.007 s
% 0.18/0.46  # Total time               : 0.021 s
% 0.18/0.46  # Maximum resident set size: 1704 pages
% 0.18/0.46  % E---3.1 exiting
%------------------------------------------------------------------------------