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E-SAT---3.5.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : E-SAT---3.5.1
% Problem  : MGT059+1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Sep 24 01:28:05 PM UTC 2026

% Result   : Theorem 0.12s 0.40s
% Output   : CNFRefutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   7 unt;   0 def)
%            Number of atoms       :   62 (  18 equ)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :   65 (  18   ~;   6   |;  24   &)
%                                         (   1 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(assumption_17,axiom,
    ! [X1,X4] :
      ( organization(X1)
     => ( ( ~ has_immunity(X1,X4)
         => ( ( ( ~ positional_advantage(X1,X4)
                & ~ is_aligned(X1,X4) )
             => hazard_of_mortality(X1,X4) = high )
            & ( ( ~ positional_advantage(X1,X4)
                & is_aligned(X1,X4) )
             => hazard_of_mortality(X1,X4) = mod2 )
            & ( ( positional_advantage(X1,X4)
                & ~ is_aligned(X1,X4) )
             => hazard_of_mortality(X1,X4) = mod1 )
            & ( ( positional_advantage(X1,X4)
                & is_aligned(X1,X4) )
             => hazard_of_mortality(X1,X4) = low ) ) )
        & ( has_immunity(X1,X4)
         => hazard_of_mortality(X1,X4) = very_low ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_17) ).

fof(assumption_2,conjecture,
    ! [X1,X5,X4] :
      ( ( has_immunity(X1,X4)
        & has_immunity(X1,X5)
        & organization(X1) )
     => hazard_of_mortality(X1,X5) = hazard_of_mortality(X1,X4) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assumption_2) ).

fof(c_0_2,plain,
    ! [X1,X4] :
      ( epred1_2(X4,X1)
    <=> ( ( ( ~ positional_advantage(X1,X4)
            & ~ is_aligned(X1,X4) )
         => hazard_of_mortality(X1,X4) = high )
        & ( ( ~ positional_advantage(X1,X4)
            & is_aligned(X1,X4) )
         => hazard_of_mortality(X1,X4) = mod2 )
        & ( ( positional_advantage(X1,X4)
            & ~ is_aligned(X1,X4) )
         => hazard_of_mortality(X1,X4) = mod1 )
        & ( ( positional_advantage(X1,X4)
            & is_aligned(X1,X4) )
         => hazard_of_mortality(X1,X4) = low ) ) ),
    introduced(definition) ).

fof(c_0_3,plain,
    ! [X1,X4] :
      ( organization(X1)
     => ( ( ~ has_immunity(X1,X4)
         => epred1_2(X4,X1) )
        & ( has_immunity(X1,X4)
         => hazard_of_mortality(X1,X4) = very_low ) ) ),
    inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[assumption_17]),c_0_2]) ).

fof(c_0_4,negated_conjecture,
    ~ ! [X1,X5,X4] :
        ( ( has_immunity(X1,X4)
          & has_immunity(X1,X5)
          & organization(X1) )
       => hazard_of_mortality(X1,X5) = hazard_of_mortality(X1,X4) ),
    inference(assume_negation,[status(cth)],[assumption_2]) ).

fof(c_0_5,plain,
    ! [X9,X10] :
      ( ( ~ organization(X9)
        | epred1_2(X10,X9)
        | has_immunity(X9,X10) )
      & ( ~ organization(X9)
        | hazard_of_mortality(X9,X10) = very_low
        | ~ has_immunity(X9,X10) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).

fof(c_0_6,negated_conjecture,
    ( hazard_of_mortality(esk1_0,esk2_0) != hazard_of_mortality(esk1_0,esk3_0)
    & has_immunity(esk1_0,esk3_0)
    & has_immunity(esk1_0,esk2_0)
    & organization(esk1_0) ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_4])])])]) ).

cnf(c_0_7,plain,
    ( ~ organization(X1)
    | ~ has_immunity(X1,X2)
    | hazard_of_mortality(X1,X2) = very_low ),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,negated_conjecture,
    has_immunity(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_9,negated_conjecture,
    organization(esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_10,negated_conjecture,
    has_immunity(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_11,negated_conjecture,
    hazard_of_mortality(esk1_0,esk2_0) != hazard_of_mortality(esk1_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_6]) ).

cnf(c_0_12,negated_conjecture,
    hazard_of_mortality(esk1_0,esk3_0) = very_low,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_8]),c_0_9])]) ).

cnf(c_0_13,negated_conjecture,
    hazard_of_mortality(esk1_0,esk2_0) = very_low,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_10]),c_0_9])]) ).

cnf(c_0_14,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : MGT059+1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04  % Command  : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.34  % Computer : n011.cluster.edu
% 0.07/0.34  % Model    : x86_64 x86_64
% 0.07/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34  % Memory   : 8046.5625MB
% 0.07/0.34  % OS       : Linux 6.8.0-71-generic
% 0.07/0.34  % CPULimit : 300
% 0.07/0.34  % WCLimit  : 300
% 0.07/0.34  % DateTime : Mon Sep 21 01:24:25 UTC 2026
% 0.07/0.34  % CPUTime  : 
% 0.07/0.34  Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.38  Running first-order theorem proving
% 0.12/0.38  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/benchmark/theBenchmark.p
% 0.12/0.40  % Version: 3.5.1
% 0.12/0.40  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.40  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.40  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.40  % Starting new_bool_3 with 300s (1) cores
% 0.12/0.40  % Starting new_bool_1 with 300s (1) cores
% 0.12/0.40  % Starting sh5l with 300s (1) cores
% 0.12/0.40  % sh5l with pid 670505 completed with status 0
% 0.12/0.40  % Result found by sh5l
% 0.12/0.40  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.40  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.40  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.40  % Starting new_bool_3 with 300s (1) cores
% 0.12/0.40  % Starting new_bool_1 with 300s (1) cores
% 0.12/0.40  % Starting sh5l with 300s (1) cores
% 0.12/0.40  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.12/0.40  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.12/0.40  % Search class: FGUSF-FFSS22-SFFFFFNN
% 0.12/0.40  % partial match(1): FGUNF-FFSS22-SFFFFFNN
% 0.12/0.40  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.40  % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.40  % SubtermCWHack with pid 670509 completed with status 0
% 0.12/0.40  % Result found by SubtermCWHack
% 0.12/0.40  % Preprocessing class: FSMSSMSSSSSNFFN.
% 0.12/0.40  % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.12/0.40  % Starting G-E--_208_C18_F1_SE_CS_SOS_SP_PS_S5PRR_RG_S04AN with 1500s (5) cores
% 0.12/0.40  % Starting new_bool_3 with 300s (1) cores
% 0.12/0.40  % Starting new_bool_1 with 300s (1) cores
% 0.12/0.40  % Starting sh5l with 300s (1) cores
% 0.12/0.40  % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = gf500_gu_R04_F100_L20000)
% 0.12/0.40  % SinE strategy is gf500_gu_R04_F100_L20000
% 0.12/0.40  % Search class: FGUSF-FFSS22-SFFFFFNN
% 0.12/0.40  % partial match(1): FGUNF-FFSS22-SFFFFFNN
% 0.12/0.40  % Scheduled 5 strats onto 1 cores with 300 seconds (300 total)
% 0.12/0.40  % Starting SubtermCWHack with 31s (1) cores
% 0.12/0.40  % Preprocessing time       : 0.001 s
% 0.12/0.40  
% 0.12/0.40  % Proof found!
% 0.12/0.40  % SZS status Theorem
% 0.12/0.40  % SZS output start CNFRefutation
% See solution above
% 0.12/0.40  % Parsed axioms                        : 8
% 0.12/0.40  % Removed by relevancy pruning/SinE    : 6
% 0.12/0.40  % Initial clauses                      : 10
% 0.12/0.40  % Removed in clause preprocessing      : 0
% 0.12/0.40  % Initial clauses in saturation        : 10
% 0.12/0.40  % Processed clauses                    : 10
% 0.12/0.40  % ...of these trivial                  : 0
% 0.12/0.40  % ...subsumed                          : 0
% 0.12/0.40  % ...remaining for further processing  : 9
% 0.12/0.40  % Other redundant clauses eliminated   : 0
% 0.12/0.40  % Clauses deleted for lack of memory   : 0
% 0.12/0.40  % Backward-subsumed                    : 0
% 0.12/0.40  % Backward-rewritten                   : 1
% 0.12/0.40  % Generated clauses                    : 4
% 0.12/0.40  % ...of the previous two non-redundant : 5
% 0.12/0.40  % ...aggressively subsumed             : 0
% 0.12/0.40  % Contextual simplify-reflections      : 0
% 0.12/0.40  % Paramodulations                      : 4
% 0.12/0.40  % Factorizations                       : 0
% 0.12/0.40  % NegExts                              : 0
% 0.12/0.40  % Equation resolutions                 : 0
% 0.12/0.40  % Disequality decompositions           : 0
% 0.12/0.40  % Total rewrite steps                  : 5
% 0.12/0.40  % ...of those cached                   : 2
% 0.12/0.40  % Propositional unsat checks           : 0
% 0.12/0.40  %    Propositional check models        : 0
% 0.12/0.40  %    Propositional check unsatisfiable : 0
% 0.12/0.40  %    Propositional clauses             : 0
% 0.12/0.40  %    Propositional clauses after purity: 0
% 0.12/0.40  %    Propositional unsat core size     : 0
% 0.12/0.40  %    Propositional preprocessing time  : 0.000
% 0.12/0.40  %    Propositional encoding time       : 0.000
% 0.12/0.40  %    Propositional solver time         : 0.000
% 0.12/0.40  %    Success case prop preproc time    : 0.000
% 0.12/0.40  %    Success case prop encoding time   : 0.000
% 0.12/0.40  %    Success case prop solver time     : 0.000
% 0.12/0.40  % Current number of processed clauses  : 8
% 0.12/0.40  %    Positive orientable unit clauses  : 5
% 0.12/0.40  %    Positive unorientable unit clauses: 0
% 0.12/0.40  %    Negative unit clauses             : 0
% 0.12/0.40  %    Non-unit-clauses                  : 3
% 0.12/0.40  % Current number of unprocessed clauses: 5
% 0.12/0.40  % ...number of literals in the above   : 18
% 0.12/0.40  % Current number of archived formulas  : 0
% 0.12/0.40  % Current number of archived clauses   : 1
% 0.12/0.40  % Clause-clause subsumption calls (NU) : 0
% 0.12/0.40  % Rec. Clause-clause subsumption calls : 0
% 0.12/0.40  % Non-unit clause-clause subsumptions  : 0
% 0.12/0.40  % Unit Clause-clause subsumption calls : 0
% 0.12/0.40  % Rewrite failures with RHS unbound    : 0
% 0.12/0.40  % BW rewrite match attempts            : 1
% 0.12/0.40  % BW rewrite match successes           : 1
% 0.12/0.40  % Condensation attempts                : 0
% 0.12/0.40  % Condensation successes               : 0
% 0.12/0.40  % Termbank termtop insertions          : 779
% 0.12/0.40  % Search garbage collected termcells   : 175
% 0.12/0.40  
% 0.12/0.40  % -------------------------------------------------
% 0.12/0.40  % User time                : 0.004 s
% 0.12/0.40  % System time              : 0.001 s
% 0.12/0.40  % Total time               : 0.006 s
% 0.12/0.40  % Maximum resident set size: 3640 pages
% 0.12/0.40  
% 0.12/0.40  % -------------------------------------------------
% 0.12/0.40  % User time                : 0.007 s
% 0.12/0.40  % System time              : 0.005 s
% 0.12/0.40  % Total time               : 0.012 s
% 0.12/0.40  % Maximum resident set size: 4608 pages
% 0.12/0.40  % E exiting
%------------------------------------------------------------------------------