TSTP Solution File: SWV142+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWV142+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n017.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  : 600s
% DateTime : Wed Jul 20 21:15:57 EDT 2022

% Result   : Theorem 37.92s 38.11s
% Output   : Refutation 37.92s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
fof(gauss_array_0012,conjecture,
    ( ( leq(tptp_float_0_001,pv1341)
      & leq(n1,loopcounter)
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_best7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_sworst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(n0,s_worst7) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_best7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_sworst7,n3) )
      & ( ~ leq(tptp_float_0_001,pv1341)
       => leq(s_worst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_best7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_sworst7) )
      & ( gt(loopcounter,n0)
       => leq(n0,s_worst7) )
      & ( gt(loopcounter,n0)
       => leq(s_best7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_sworst7,n3) )
      & ( gt(loopcounter,n0)
       => leq(s_worst7,n3) ) )
   => leq(s_best7,n3) ),
    input ).

fof(c66,negated_conjecture,
    ~ ( ( leq(tptp_float_0_001,pv1341)
        & leq(n1,loopcounter)
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_best7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_sworst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_worst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_best7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_sworst7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_worst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_best7) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_sworst7) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_worst7) )
        & ( gt(loopcounter,n0)
         => leq(s_best7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_sworst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_worst7,n3) ) )
     => leq(s_best7,n3) ),
    inference(assume_negation,status(cth),[gauss_array_0012]) ).

fof(c67,negated_conjecture,
    ~ ( ( leq(tptp_float_0_001,pv1341)
        & leq(n1,loopcounter)
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_best7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_sworst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(n0,s_worst7) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_best7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_sworst7,n3) )
        & ( ~ leq(tptp_float_0_001,pv1341)
         => leq(s_worst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_best7) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_sworst7) )
        & ( gt(loopcounter,n0)
         => leq(n0,s_worst7) )
        & ( gt(loopcounter,n0)
         => leq(s_best7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_sworst7,n3) )
        & ( gt(loopcounter,n0)
         => leq(s_worst7,n3) ) )
     => leq(s_best7,n3) ),
    inference(fof_simplification,status(thm),[c66]) ).

fof(c68,negated_conjecture,
    ( leq(tptp_float_0_001,pv1341)
    & leq(n1,loopcounter)
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_best7) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_sworst7) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(n0,s_worst7) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_best7,n3) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_sworst7,n3) )
    & ( leq(tptp_float_0_001,pv1341)
      | leq(s_worst7,n3) )
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_best7) )
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_sworst7) )
    & ( ~ gt(loopcounter,n0)
      | leq(n0,s_worst7) )
    & ( ~ gt(loopcounter,n0)
      | leq(s_best7,n3) )
    & ( ~ gt(loopcounter,n0)
      | leq(s_sworst7,n3) )
    & ( ~ gt(loopcounter,n0)
      | leq(s_worst7,n3) )
    & ~ leq(s_best7,n3) ),
    inference(fof_nnf,status(thm),[c67]) ).

cnf(c83,negated_conjecture,
    ~ leq(s_best7,n3),
    inference(split_conjunct,status(thm),[c68]) ).

cnf(c80,negated_conjecture,
    ( ~ gt(loopcounter,n0)
    | leq(s_best7,n3) ),
    inference(split_conjunct,status(thm),[c68]) ).

fof(leq_succ_gt,axiom,
    ! [X,Y] :
      ( leq(succ(X),Y)
     => gt(Y,X) ),
    input ).

fof(c119,axiom,
    ! [X,Y] :
      ( ~ leq(succ(X),Y)
      | gt(Y,X) ),
    inference(fof_nnf,status(thm),[leq_succ_gt]) ).

fof(c120,axiom,
    ! [X42,X43] :
      ( ~ leq(succ(X42),X43)
      | gt(X43,X42) ),
    inference(variable_rename,status(thm),[c119]) ).

cnf(c121,axiom,
    ( ~ leq(succ(X317),X316)
    | gt(X316,X317) ),
    inference(split_conjunct,status(thm),[c120]) ).

cnf(c70,negated_conjecture,
    leq(n1,loopcounter),
    inference(split_conjunct,status(thm),[c68]) ).

fof(transitivity_leq,axiom,
    ! [X,Y,Z] :
      ( ( leq(X,Y)
        & leq(Y,Z) )
     => leq(X,Z) ),
    input ).

fof(c457,axiom,
    ! [X,Y,Z] :
      ( ~ leq(X,Y)
      | ~ leq(Y,Z)
      | leq(X,Z) ),
    inference(fof_nnf,status(thm),[transitivity_leq]) ).

fof(c458,axiom,
    ! [X170,X171,X172] :
      ( ~ leq(X170,X171)
      | ~ leq(X171,X172)
      | leq(X170,X172) ),
    inference(variable_rename,status(thm),[c457]) ).

cnf(c459,axiom,
    ( ~ leq(X2087,X2089)
    | ~ leq(X2089,X2088)
    | leq(X2087,X2088) ),
    inference(split_conjunct,status(thm),[c458]) ).

cnf(c22813,plain,
    ( ~ leq(X2362,n1)
    | leq(X2362,loopcounter) ),
    inference(resolution,status(thm),[c459,c70]) ).

cnf(symmetry,axiom,
    ( X183 != X184
    | X184 = X183 ),
    eq_axiom ).

fof(successor_1,axiom,
    succ(n0) = n1,
    input ).

cnf(c24,axiom,
    succ(n0) = n1,
    inference(split_conjunct,status(thm),[successor_1]) ).

cnf(c479,plain,
    n1 = succ(n0),
    inference(resolution,status(thm),[c24,symmetry]) ).

cnf(reflexivity,axiom,
    X180 = X180,
    eq_axiom ).

fof(reflexivity_leq,axiom,
    ! [X] : leq(X,X),
    input ).

fof(c460,axiom,
    ! [X173] : leq(X173,X173),
    inference(variable_rename,status(thm),[reflexivity_leq]) ).

cnf(c461,axiom,
    leq(X181,X181),
    inference(split_conjunct,status(thm),[c460]) ).

cnf(c19,plain,
    ( X285 != X283
    | X284 != X286
    | ~ leq(X285,X284)
    | leq(X283,X286) ),
    eq_axiom ).

cnf(c678,plain,
    ( X2767 != X2768
    | X2767 != X2769
    | leq(X2768,X2769) ),
    inference(resolution,status(thm),[c19,c461]) ).

cnf(c50960,plain,
    ( X2770 != X2771
    | leq(X2771,X2770) ),
    inference(resolution,status(thm),[c678,reflexivity]) ).

cnf(c51032,plain,
    leq(succ(n0),n1),
    inference(resolution,status(thm),[c50960,c479]) ).

cnf(c51480,plain,
    leq(succ(n0),loopcounter),
    inference(resolution,status(thm),[c51032,c22813]) ).

cnf(c51967,plain,
    gt(loopcounter,n0),
    inference(resolution,status(thm),[c51480,c121]) ).

cnf(c52071,plain,
    leq(s_best7,n3),
    inference(resolution,status(thm),[c51967,c80]) ).

cnf(c52867,plain,
    $false,
    inference(resolution,status(thm),[c52071,c83]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SWV142+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.04/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34  % Computer : n017.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun 14 13:47:54 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 37.92/38.11  # Version:  1.3
% 37.92/38.11  # SZS status Theorem
% 37.92/38.11  # SZS output start CNFRefutation
% See solution above
% 37.92/38.11  
% 37.92/38.11  # Initial clauses    : 327
% 37.92/38.11  # Processed clauses  : 1395
% 37.92/38.11  # Factors computed   : 1
% 37.92/38.11  # Resolvents computed: 52422
% 37.92/38.11  # Tautologies deleted: 2
% 37.92/38.11  # Forward subsumed   : 1054
% 37.92/38.11  # Backward subsumed  : 6
% 37.92/38.11  # -------- CPU Time ---------
% 37.92/38.11  # User time          : 37.553 s
% 37.92/38.11  # System time        : 0.215 s
% 37.92/38.11  # Total time         : 37.768 s
%------------------------------------------------------------------------------