TSTP Solution File: SWV191+1 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SWV191+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% 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  : 600s
% DateTime : Wed Jul 20 21:16:06 EDT 2022

% Result   : Theorem 39.37s 39.55s
% Output   : Refutation 39.37s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
fof(irreflexivity_gt,axiom,
    ! [X] : ~ gt(X,X),
    input ).

fof(c480,axiom,
    ! [X] : ~ gt(X,X),
    inference(fof_simplification,status(thm),[irreflexivity_gt]) ).

fof(c481,axiom,
    ! [X176] : ~ gt(X176,X176),
    inference(variable_rename,status(thm),[c480]) ).

cnf(c482,axiom,
    ~ gt(X184,X184),
    inference(split_conjunct,status(thm),[c481]) ).

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

fof(c137,axiom,
    ! [X,Y] :
      ( ~ leq(succ(X),Y)
      | gt(Y,X) ),
    inference(fof_nnf,status(thm),[leq_succ_gt]) ).

fof(c138,axiom,
    ! [X44,X45] :
      ( ~ leq(succ(X44),X45)
      | gt(X45,X44) ),
    inference(variable_rename,status(thm),[c137]) ).

cnf(c139,axiom,
    ( ~ leq(succ(X320),X319)
    | gt(X319,X320) ),
    inference(split_conjunct,status(thm),[c138]) ).

fof(quaternion_ds1_inuse_0002,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 )
   => ! [A,B] :
        ( ( leq(n0,A)
          & leq(n0,B)
          & leq(A,n2)
          & leq(B,tptp_minus_1) )
       => a_select3(z_defuse,A,B) = use ) ),
    input ).

fof(c66,negated_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 )
     => ! [A,B] :
          ( ( leq(n0,A)
            & leq(n0,B)
            & leq(A,n2)
            & leq(B,tptp_minus_1) )
         => a_select3(z_defuse,A,B) = use ) ),
    inference(assume_negation,status(cth),[quaternion_ds1_inuse_0002]) ).

fof(c67,negated_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
    & ? [A,B] :
        ( leq(n0,A)
        & leq(n0,B)
        & leq(A,n2)
        & leq(B,tptp_minus_1)
        & a_select3(z_defuse,A,B) != use ) ),
    inference(fof_nnf,status(thm),[c66]) ).

fof(c68,negated_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
    & ? [X8,X9] :
        ( leq(n0,X8)
        & leq(n0,X9)
        & leq(X8,n2)
        & leq(X9,tptp_minus_1)
        & a_select3(z_defuse,X8,X9) != use ) ),
    inference(variable_rename,status(thm),[c67]) ).

fof(c69,negated_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,skolem0001)
    & leq(n0,skolem0002)
    & leq(skolem0001,n2)
    & leq(skolem0002,tptp_minus_1)
    & a_select3(z_defuse,skolem0001,skolem0002) != use ),
    inference(skolemize,status(esa),[c68]) ).

cnf(c100,negated_conjecture,
    leq(skolem0002,tptp_minus_1),
    inference(split_conjunct,status(thm),[c69]) ).

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

fof(c475,axiom,
    ! [X,Y,Z] :
      ( ~ leq(X,Y)
      | ~ leq(Y,Z)
      | leq(X,Z) ),
    inference(fof_nnf,status(thm),[transitivity_leq]) ).

fof(c476,axiom,
    ! [X172,X173,X174] :
      ( ~ leq(X172,X173)
      | ~ leq(X173,X174)
      | leq(X172,X174) ),
    inference(variable_rename,status(thm),[c475]) ).

cnf(c477,axiom,
    ( ~ leq(X2275,X2274)
    | ~ leq(X2274,X2276)
    | leq(X2275,X2276) ),
    inference(split_conjunct,status(thm),[c476]) ).

cnf(c30927,plain,
    ( ~ leq(X2388,skolem0002)
    | leq(X2388,tptp_minus_1) ),
    inference(resolution,status(thm),[c477,c100]) ).

cnf(c98,negated_conjecture,
    leq(n0,skolem0002),
    inference(split_conjunct,status(thm),[c69]) ).

cnf(c30891,plain,
    ( ~ leq(X2315,n0)
    | leq(X2315,skolem0002) ),
    inference(resolution,status(thm),[c477,c98]) ).

cnf(symmetry,axiom,
    ( X185 != X186
    | X186 = X185 ),
    eq_axiom ).

fof(succ_tptp_minus_1,axiom,
    succ(tptp_minus_1) = n0,
    input ).

cnf(c172,axiom,
    succ(tptp_minus_1) = n0,
    inference(split_conjunct,status(thm),[succ_tptp_minus_1]) ).

cnf(c522,plain,
    n0 = succ(tptp_minus_1),
    inference(resolution,status(thm),[c172,symmetry]) ).

cnf(reflexivity,axiom,
    X182 = X182,
    eq_axiom ).

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

fof(c478,axiom,
    ! [X175] : leq(X175,X175),
    inference(variable_rename,status(thm),[reflexivity_leq]) ).

cnf(c479,axiom,
    leq(X183,X183),
    inference(split_conjunct,status(thm),[c478]) ).

cnf(c19,plain,
    ( X284 != X285
    | X287 != X286
    | ~ leq(X284,X287)
    | leq(X285,X286) ),
    eq_axiom ).

cnf(c710,plain,
    ( X2870 != X2869
    | X2870 != X2868
    | leq(X2869,X2868) ),
    inference(resolution,status(thm),[c19,c479]) ).

cnf(c53504,plain,
    ( X2872 != X2871
    | leq(X2871,X2872) ),
    inference(resolution,status(thm),[c710,reflexivity]) ).

cnf(c53673,plain,
    leq(succ(tptp_minus_1),n0),
    inference(resolution,status(thm),[c53504,c522]) ).

cnf(c54299,plain,
    leq(succ(tptp_minus_1),skolem0002),
    inference(resolution,status(thm),[c53673,c30891]) ).

cnf(c55001,plain,
    leq(succ(tptp_minus_1),tptp_minus_1),
    inference(resolution,status(thm),[c54299,c30927]) ).

cnf(c56124,plain,
    gt(tptp_minus_1,tptp_minus_1),
    inference(resolution,status(thm),[c55001,c139]) ).

cnf(c56229,plain,
    $false,
    inference(resolution,status(thm),[c56124,c482]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SWV191+1 : TPTP v8.1.0. Bugfixed v3.3.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34  % Computer : n008.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
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Wed Jun 15 10:08:07 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 39.37/39.55  # Version:  1.3
% 39.37/39.55  # SZS status Theorem
% 39.37/39.55  # SZS output start CNFRefutation
% See solution above
% 39.37/39.55  
% 39.37/39.55  # Initial clauses    : 344
% 39.37/39.55  # Processed clauses  : 1433
% 39.37/39.55  # Factors computed   : 1
% 39.37/39.55  # Resolvents computed: 55744
% 39.37/39.55  # Tautologies deleted: 2
% 39.37/39.55  # Forward subsumed   : 1095
% 39.37/39.55  # Backward subsumed  : 0
% 39.37/39.55  # -------- CPU Time ---------
% 39.37/39.55  # User time          : 39.010 s
% 39.37/39.55  # System time        : 0.185 s
% 39.37/39.55  # Total time         : 39.195 s
%------------------------------------------------------------------------------