TSTP Solution File: SWV200+1 by E-SAT---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E-SAT---3.1.00
% Problem  : SWV200+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n008.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 : Tue May 21 05:33:37 EDT 2024

% Result   : Theorem 0.19s 0.51s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   16 (   7 unt;   0 def)
%            Number of atoms       :  250 ( 141 equ)
%            Maximal formula atoms :   72 (  15 avg)
%            Number of connectives :  300 (  66   ~;  54   |; 166   &)
%                                         (   1 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   42 (  13 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   2 prp; 0-2 aty)
%            Number of functors    :   21 (  21 usr;  18 con; 0-3 aty)
%            Number of variables   :   25 (   0 sgn  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(quaternion_ds1_inuse_0011,conjecture,
    ( ( a_select2(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n5) = use
      & leq(n0,pv5)
      & leq(pv5,n998)
      & gt(pv5,n0)
      & ! [X14,X18] :
          ( ( leq(n0,X14)
            & leq(n0,X18)
            & leq(X14,n2)
            & leq(X18,pred(pv5)) )
         => a_select3(u_defuse,X14,X18) = use )
      & ! [X4,X20] :
          ( ( leq(n0,X4)
            & leq(n0,X20)
            & leq(X4,n2)
            & leq(X20,pred(pv5)) )
         => a_select3(z_defuse,X4,X20) = use ) )
   => ! [X21,X22] :
        ( ( leq(n0,X21)
          & leq(n0,X22)
          & leq(X21,n2)
          & leq(X22,pred(pv5)) )
       => ( ( ~ ( n0 = X21
                & pv5 = X22 )
            & ~ ( n1 = X21
                & pv5 = X22 )
            & ~ ( n2 = X21
                & pv5 = X22 ) )
         => a_select3(u_defuse,X21,X22) = use ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0011) ).

fof(c_0_1,plain,
    ( epred1_0
  <=> ( a_select2(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n5) = use
      & leq(n0,pv5)
      & leq(pv5,n998)
      & gt(pv5,n0)
      & ! [X14,X18] :
          ( ( leq(n0,X14)
            & leq(n0,X18)
            & leq(X14,n2)
            & leq(X18,pred(pv5)) )
         => a_select3(u_defuse,X14,X18) = use )
      & ! [X4,X20] :
          ( ( leq(n0,X4)
            & leq(n0,X20)
            & leq(X4,n2)
            & leq(X20,pred(pv5)) )
         => a_select3(z_defuse,X4,X20) = use ) ) ),
    introduced(definition) ).

fof(c_0_2,plain,
    ( epred1_0
   => ( a_select2(rho_defuse,n0) = use
      & a_select2(rho_defuse,n1) = use
      & a_select2(rho_defuse,n2) = use
      & a_select2(sigma_defuse,n0) = use
      & a_select2(sigma_defuse,n1) = use
      & a_select2(sigma_defuse,n2) = use
      & a_select2(sigma_defuse,n3) = use
      & a_select2(sigma_defuse,n4) = use
      & a_select2(sigma_defuse,n5) = use
      & a_select3(u_defuse,n0,n0) = use
      & a_select3(u_defuse,n1,n0) = use
      & a_select3(u_defuse,n2,n0) = use
      & a_select2(xinit_defuse,n3) = use
      & a_select2(xinit_defuse,n4) = use
      & a_select2(xinit_defuse,n5) = use
      & a_select2(xinit_mean_defuse,n0) = use
      & a_select2(xinit_mean_defuse,n1) = use
      & a_select2(xinit_mean_defuse,n2) = use
      & a_select2(xinit_mean_defuse,n3) = use
      & a_select2(xinit_mean_defuse,n4) = use
      & a_select2(xinit_mean_defuse,n5) = use
      & a_select2(xinit_noise_defuse,n0) = use
      & a_select2(xinit_noise_defuse,n1) = use
      & a_select2(xinit_noise_defuse,n2) = use
      & a_select2(xinit_noise_defuse,n3) = use
      & a_select2(xinit_noise_defuse,n4) = use
      & a_select2(xinit_noise_defuse,n5) = use
      & leq(n0,pv5)
      & leq(pv5,n998)
      & gt(pv5,n0)
      & ! [X14,X18] :
          ( ( leq(n0,X14)
            & leq(n0,X18)
            & leq(X14,n2)
            & leq(X18,pred(pv5)) )
         => a_select3(u_defuse,X14,X18) = use )
      & ! [X4,X20] :
          ( ( leq(n0,X4)
            & leq(n0,X20)
            & leq(X4,n2)
            & leq(X20,pred(pv5)) )
         => a_select3(z_defuse,X4,X20) = use ) ) ),
    inference(split_equiv,[status(thm)],[c_0_1]) ).

fof(c_0_3,negated_conjecture,
    ~ ( epred1_0
     => ! [X21,X22] :
          ( ( leq(n0,X21)
            & leq(n0,X22)
            & leq(X21,n2)
            & leq(X22,pred(pv5)) )
         => ( ( ~ ( n0 = X21
                  & pv5 = X22 )
              & ~ ( n1 = X21
                  & pv5 = X22 )
              & ~ ( n2 = X21
                  & pv5 = X22 ) )
           => a_select3(u_defuse,X21,X22) = use ) ) ),
    inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[quaternion_ds1_inuse_0011]),c_0_1]) ).

fof(c_0_4,plain,
    ! [X73,X74,X75,X76] :
      ( ( a_select2(rho_defuse,n0) = use
        | ~ epred1_0 )
      & ( a_select2(rho_defuse,n1) = use
        | ~ epred1_0 )
      & ( a_select2(rho_defuse,n2) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n0) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n1) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n2) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n3) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n4) = use
        | ~ epred1_0 )
      & ( a_select2(sigma_defuse,n5) = use
        | ~ epred1_0 )
      & ( a_select3(u_defuse,n0,n0) = use
        | ~ epred1_0 )
      & ( a_select3(u_defuse,n1,n0) = use
        | ~ epred1_0 )
      & ( a_select3(u_defuse,n2,n0) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_defuse,n3) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_defuse,n4) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_defuse,n5) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n0) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n1) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n2) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n3) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n4) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_mean_defuse,n5) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n0) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n1) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n2) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n3) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n4) = use
        | ~ epred1_0 )
      & ( a_select2(xinit_noise_defuse,n5) = use
        | ~ epred1_0 )
      & ( leq(n0,pv5)
        | ~ epred1_0 )
      & ( leq(pv5,n998)
        | ~ epred1_0 )
      & ( gt(pv5,n0)
        | ~ epred1_0 )
      & ( ~ leq(n0,X73)
        | ~ leq(n0,X74)
        | ~ leq(X73,n2)
        | ~ leq(X74,pred(pv5))
        | a_select3(u_defuse,X73,X74) = use
        | ~ epred1_0 )
      & ( ~ leq(n0,X75)
        | ~ leq(n0,X76)
        | ~ leq(X75,n2)
        | ~ leq(X76,pred(pv5))
        | a_select3(z_defuse,X75,X76) = use
        | ~ epred1_0 ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_2])])])])]) ).

fof(c_0_5,negated_conjecture,
    ( epred1_0
    & leq(n0,esk1_0)
    & leq(n0,esk2_0)
    & leq(esk1_0,n2)
    & leq(esk2_0,pred(pv5))
    & ( n0 != esk1_0
      | pv5 != esk2_0 )
    & ( n1 != esk1_0
      | pv5 != esk2_0 )
    & ( n2 != esk1_0
      | pv5 != esk2_0 )
    & a_select3(u_defuse,esk1_0,esk2_0) != use ),
    inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).

cnf(c_0_6,plain,
    ( a_select3(u_defuse,X1,X2) = use
    | ~ leq(n0,X1)
    | ~ leq(n0,X2)
    | ~ leq(X1,n2)
    | ~ leq(X2,pred(pv5))
    | ~ epred1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_4]) ).

cnf(c_0_7,negated_conjecture,
    epred1_0,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_8,plain,
    ( a_select3(u_defuse,X1,X2) = use
    | ~ leq(X2,pred(pv5))
    | ~ leq(X1,n2)
    | ~ leq(n0,X2)
    | ~ leq(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_6,c_0_7])]) ).

cnf(c_0_9,negated_conjecture,
    leq(esk1_0,n2),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_10,negated_conjecture,
    leq(n0,esk1_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_11,negated_conjecture,
    ( a_select3(u_defuse,esk1_0,X1) = use
    | ~ leq(X1,pred(pv5))
    | ~ leq(n0,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_9]),c_0_10])]) ).

cnf(c_0_12,negated_conjecture,
    leq(n0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_13,negated_conjecture,
    leq(esk2_0,pred(pv5)),
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_14,negated_conjecture,
    a_select3(u_defuse,esk1_0,esk2_0) != use,
    inference(split_conjunct,[status(thm)],[c_0_5]) ).

cnf(c_0_15,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_12]),c_0_13])]),c_0_14]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SWV200+1 : TPTP v8.2.0. Bugfixed v3.3.0.
% 0.03/0.13  % Command    : run_E %s %d THM
% 0.12/0.34  % Computer : n008.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit   : 300
% 0.12/0.34  % WCLimit    : 300
% 0.12/0.34  % DateTime   : Sun May 19 08:56:37 EDT 2024
% 0.12/0.34  % CPUTime    : 
% 0.19/0.46  Running first-order model finding
% 0.19/0.46  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
% 0.19/0.51  # Version: 3.1.0
% 0.19/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.51  # Starting new_bool_1 with 300s (1) cores
% 0.19/0.51  # Starting sh5l with 300s (1) cores
% 0.19/0.51  # new_bool_3 with pid 21704 completed with status 0
% 0.19/0.51  # Result found by new_bool_3
% 0.19/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.51  # Search class: FGHSM-FFMM31-MFFFFFNN
% 0.19/0.51  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.51  # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.19/0.51  # G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with pid 21707 completed with status 0
% 0.19/0.51  # Result found by G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S
% 0.19/0.51  # Preprocessing class: FSLSSMSMSSSNFFN.
% 0.19/0.51  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.19/0.51  # Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 0.19/0.51  # Starting new_bool_3 with 300s (1) cores
% 0.19/0.51  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.19/0.51  # Search class: FGHSM-FFMM31-MFFFFFNN
% 0.19/0.51  # Scheduled 13 strats onto 1 cores with 300 seconds (300 total)
% 0.19/0.51  # Starting G-E--_107_C41_F1_PI_AE_CS_SP_PS_S4S with 23s (1) cores
% 0.19/0.51  # Preprocessing time       : 0.003 s
% 0.19/0.51  # Presaturation interreduction done
% 0.19/0.51  
% 0.19/0.51  # Proof found!
% 0.19/0.51  # SZS status Theorem
% 0.19/0.51  # SZS output start CNFRefutation
% See solution above
% 0.19/0.51  # Parsed axioms                        : 92
% 0.19/0.51  # Removed by relevancy pruning/SinE    : 26
% 0.19/0.51  # Initial clauses                      : 109
% 0.19/0.51  # Removed in clause preprocessing      : 0
% 0.19/0.51  # Initial clauses in saturation        : 109
% 0.19/0.51  # Processed clauses                    : 675
% 0.19/0.51  # ...of these trivial                  : 80
% 0.19/0.51  # ...subsumed                          : 89
% 0.19/0.51  # ...remaining for further processing  : 506
% 0.19/0.51  # Other redundant clauses eliminated   : 0
% 0.19/0.51  # Clauses deleted for lack of memory   : 0
% 0.19/0.51  # Backward-subsumed                    : 4
% 0.19/0.51  # Backward-rewritten                   : 0
% 0.19/0.51  # Generated clauses                    : 2238
% 0.19/0.51  # ...of the previous two non-redundant : 1405
% 0.19/0.51  # ...aggressively subsumed             : 0
% 0.19/0.51  # Contextual simplify-reflections      : 2
% 0.19/0.51  # Paramodulations                      : 2234
% 0.19/0.51  # Factorizations                       : 4
% 0.19/0.51  # NegExts                              : 0
% 0.19/0.51  # Equation resolutions                 : 0
% 0.19/0.51  # Disequality decompositions           : 0
% 0.19/0.51  # Total rewrite steps                  : 1711
% 0.19/0.51  # ...of those cached                   : 1505
% 0.19/0.51  # Propositional unsat checks           : 0
% 0.19/0.51  #    Propositional check models        : 0
% 0.19/0.51  #    Propositional check unsatisfiable : 0
% 0.19/0.51  #    Propositional clauses             : 0
% 0.19/0.51  #    Propositional clauses after purity: 0
% 0.19/0.51  #    Propositional unsat core size     : 0
% 0.19/0.51  #    Propositional preprocessing time  : 0.000
% 0.19/0.51  #    Propositional encoding time       : 0.000
% 0.19/0.51  #    Propositional solver time         : 0.000
% 0.19/0.51  #    Success case prop preproc time    : 0.000
% 0.19/0.51  #    Success case prop encoding time   : 0.000
% 0.19/0.51  #    Success case prop solver time     : 0.000
% 0.19/0.51  # Current number of processed clauses  : 393
% 0.19/0.51  #    Positive orientable unit clauses  : 249
% 0.19/0.51  #    Positive unorientable unit clauses: 0
% 0.19/0.51  #    Negative unit clauses             : 3
% 0.19/0.51  #    Non-unit-clauses                  : 141
% 0.19/0.51  # Current number of unprocessed clauses: 943
% 0.19/0.51  # ...number of literals in the above   : 1817
% 0.19/0.51  # Current number of archived formulas  : 0
% 0.19/0.51  # Current number of archived clauses   : 113
% 0.19/0.51  # Clause-clause subsumption calls (NU) : 1418
% 0.19/0.51  # Rec. Clause-clause subsumption calls : 1092
% 0.19/0.51  # Non-unit clause-clause subsumptions  : 91
% 0.19/0.51  # Unit Clause-clause subsumption calls : 1288
% 0.19/0.51  # Rewrite failures with RHS unbound    : 0
% 0.19/0.51  # BW rewrite match attempts            : 34
% 0.19/0.51  # BW rewrite match successes           : 1
% 0.19/0.51  # Condensation attempts                : 0
% 0.19/0.51  # Condensation successes               : 0
% 0.19/0.51  # Termbank termtop insertions          : 25035
% 0.19/0.51  # Search garbage collected termcells   : 843
% 0.19/0.51  
% 0.19/0.51  # -------------------------------------------------
% 0.19/0.51  # User time                : 0.036 s
% 0.19/0.51  # System time              : 0.006 s
% 0.19/0.51  # Total time               : 0.042 s
% 0.19/0.51  # Maximum resident set size: 2100 pages
% 0.19/0.51  
% 0.19/0.51  # -------------------------------------------------
% 0.19/0.51  # User time                : 0.038 s
% 0.19/0.51  # System time              : 0.008 s
% 0.19/0.51  # Total time               : 0.046 s
% 0.19/0.51  # Maximum resident set size: 1828 pages
% 0.19/0.51  % E---3.1 exiting
%------------------------------------------------------------------------------