TSTP Solution File: SWV102+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV102+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n002.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 Aug 22 11:02:54 EDT 2023

% Result   : Theorem 11.01s 3.56s
% Output   : CNFRefutation 11.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   75
% Syntax   : Number of formulae    :  134 (  50 unt;  64 typ;   0 def)
%            Number of atoms       :  130 (  93 equ)
%            Maximal formula atoms :   27 (   1 avg)
%            Number of connectives :  107 (  47   ~;  29   |;  26   &)
%                                         (   2 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  160 (  49   >; 111   *;   0   +;   0  <<)
%            Number of predicates  :    7 (   5 usr;   2 prp; 0-2 aty)
%            Number of functors    :   59 (  59 usr;  14 con; 0-8 aty)
%            Number of variables   :   54 (;  54   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ lt > leq > gt > geq > tptp_update3 > tptp_update2 > tptp_const_array2 > sum > a_select3 > uniform_int_rnd > tptp_msub > tptp_mmul > tptp_madd > tptp_const_array1 > plus > minus > dim > a_select2 > #nlpp > trans > succ > pred > inv > xinit_defuse > use > u_defuse > true > tptp_minus_1 > tptp_float_0_0 > sigma_defuse > rho_defuse > n5 > n4 > n3 > n2 > n1 > n0 > def > #skF_13 > #skF_24 > #skF_17 > #skF_23 > #skF_6 > #skF_19 > #skF_27 > #skF_21 > #skF_25 > #skF_12 > #skF_18 > #skF_3 > #skF_26 > #skF_20 > #skF_11 > #skF_7 > #skF_9 > #skF_15 > #skF_22 > #skF_14 > #skF_2 > #skF_8 > #skF_1 > #skF_5 > #skF_4 > #skF_16 > #skF_10

%Foreground sorts:

%Background operators:

%Foreground operators:
tff('#skF_13',type,
    '#skF_13': ( $i * $i * $i ) > $i ).

tff('#skF_24',type,
    '#skF_24': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(xinit_defuse,type,
    xinit_defuse: $i ).

tff(true,type,
    true: $o ).

tff('#skF_17',type,
    '#skF_17': ( $i * $i * $i * $i ) > $i ).

tff(tptp_const_array2,type,
    tptp_const_array2: ( $i * $i * $i ) > $i ).

tff('#skF_23',type,
    '#skF_23': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_6',type,
    '#skF_6': ( $i * $i ) > $i ).

tff(tptp_minus_1,type,
    tptp_minus_1: $i ).

tff('#skF_19',type,
    '#skF_19': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_27',type,
    '#skF_27': ( $i * $i * $i * $i ) > $i ).

tff('#skF_21',type,
    '#skF_21': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_25',type,
    '#skF_25': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_12',type,
    '#skF_12': ( $i * $i * $i ) > $i ).

tff('#skF_18',type,
    '#skF_18': ( $i * $i * $i * $i ) > $i ).

tff(a_select3,type,
    a_select3: ( $i * $i * $i ) > $i ).

tff(tptp_float_0_0,type,
    tptp_float_0_0: $i ).

tff(a_select2,type,
    a_select2: ( $i * $i ) > $i ).

tff('#skF_3',type,
    '#skF_3': ( $i * $i ) > $i ).

tff(trans,type,
    trans: $i > $i ).

tff(tptp_update3,type,
    tptp_update3: ( $i * $i * $i * $i ) > $i ).

tff(n3,type,
    n3: $i ).

tff('#skF_26',type,
    '#skF_26': ( $i * $i * $i * $i * $i * $i ) > $i ).

tff(use,type,
    use: $i ).

tff(inv,type,
    inv: $i > $i ).

tff(n1,type,
    n1: $i ).

tff(tptp_madd,type,
    tptp_madd: ( $i * $i ) > $i ).

tff(plus,type,
    plus: ( $i * $i ) > $i ).

tff('#skF_20',type,
    '#skF_20': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff(n0,type,
    n0: $i ).

tff(rho_defuse,type,
    rho_defuse: $i ).

tff('#skF_11',type,
    '#skF_11': ( $i * $i * $i ) > $i ).

tff(tptp_update2,type,
    tptp_update2: ( $i * $i * $i ) > $i ).

tff(gt,type,
    gt: ( $i * $i ) > $o ).

tff('#skF_7',type,
    '#skF_7': ( $i * $i * $i ) > $i ).

tff(n4,type,
    n4: $i ).

tff(tptp_msub,type,
    tptp_msub: ( $i * $i ) > $i ).

tff('#skF_9',type,
    '#skF_9': ( $i * $i * $i ) > $i ).

tff(tptp_const_array1,type,
    tptp_const_array1: ( $i * $i ) > $i ).

tff('#skF_15',type,
    '#skF_15': ( $i * $i * $i ) > $i ).

tff('#skF_22',type,
    '#skF_22': ( $i * $i * $i * $i * $i * $i * $i * $i ) > $i ).

tff('#skF_14',type,
    '#skF_14': ( $i * $i * $i ) > $i ).

tff(tptp_mmul,type,
    tptp_mmul: ( $i * $i ) > $i ).

tff(uniform_int_rnd,type,
    uniform_int_rnd: ( $i * $i ) > $i ).

tff(geq,type,
    geq: ( $i * $i ) > $o ).

tff(leq,type,
    leq: ( $i * $i ) > $o ).

tff(lt,type,
    lt: ( $i * $i ) > $o ).

tff('#skF_2',type,
    '#skF_2': ( $i * $i ) > $i ).

tff(def,type,
    def: $i ).

tff('#skF_8',type,
    '#skF_8': ( $i * $i * $i ) > $i ).

tff(u_defuse,type,
    u_defuse: $i ).

tff(n2,type,
    n2: $i ).

tff(n5,type,
    n5: $i ).

tff('#skF_1',type,
    '#skF_1': ( $i * $i ) > $i ).

tff(succ,type,
    succ: $i > $i ).

tff(pred,type,
    pred: $i > $i ).

tff(sum,type,
    sum: ( $i * $i * $i ) > $i ).

tff('#skF_5',type,
    '#skF_5': ( $i * $i ) > $i ).

tff('#skF_4',type,
    '#skF_4': ( $i * $i ) > $i ).

tff('#skF_16',type,
    '#skF_16': ( $i * $i * $i ) > $i ).

tff('#skF_10',type,
    '#skF_10': ( $i * $i * $i ) > $i ).

tff(dim,type,
    dim: ( $i * $i ) > $i ).

tff(sigma_defuse,type,
    sigma_defuse: $i ).

tff(minus,type,
    minus: ( $i * $i ) > $i ).

tff(f_74,axiom,
    ! [X] : leq(X,X),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',reflexivity_leq) ).

tff(f_89,axiom,
    ! [X,Y] :
      ( geq(X,Y)
    <=> leq(Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_geq) ).

tff(f_453,axiom,
    ! [X,U,VAL] : ( a_select2(tptp_update2(X,U,VAL),U) = VAL ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_1) ).

tff(f_460,axiom,
    ! [I,U,X,VAL,VAL2] :
      ( ( ( I != U )
        & ( a_select2(X,U) = VAL ) )
     => ( a_select2(tptp_update2(X,I,VAL2),U) = VAL ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',sel2_update_2) ).

tff(f_534,negated_conjecture,
    ~ ( ( ( 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(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(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) = use )
        & ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) = use )
        & ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) = use ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0014) ).

tff(f_625,axiom,
    succ(n0) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_1) ).

tff(f_626,axiom,
    succ(succ(n0)) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',successor_2) ).

tff(f_386,axiom,
    ! [X] : ( plus(n2,X) = succ(succ(X)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',succ_plus_2_l) ).

tff(f_112,axiom,
    ! [X,Y] :
      ( leq(X,Y)
     => leq(X,succ(Y)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ) ).

tff(f_116,axiom,
    ! [X,Y] :
      ( leq(X,Y)
    <=> gt(succ(Y),X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_succ_gt_equiv) ).

tff(f_71,axiom,
    ! [X] : ~ gt(X,X),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).

tff(c_8,plain,
    ! [X_7] : leq(X_7,X_7),
    inference(cnfTransformation,[status(thm)],[f_74]) ).

tff(c_3867,plain,
    ! [X_299,Y_300] :
      ( geq(X_299,Y_300)
      | ~ leq(Y_300,X_299) ),
    inference(cnfTransformation,[status(thm)],[f_89]) ).

tff(c_3879,plain,
    ! [X_7] : geq(X_7,X_7),
    inference(resolution,[status(thm)],[c_8,c_3867]) ).

tff(c_498,plain,
    ! [X_168,U_169,VAL_170] : ( a_select2(tptp_update2(X_168,U_169,VAL_170),U_169) = VAL_170 ),
    inference(cnfTransformation,[status(thm)],[f_453]) ).

tff(c_6149,plain,
    ! [X_374,I_375,VAL2_376,U_377] :
      ( ( a_select2(tptp_update2(X_374,I_375,VAL2_376),U_377) = a_select2(X_374,U_377) )
      | ( U_377 = I_375 ) ),
    inference(cnfTransformation,[status(thm)],[f_460]) ).

tff(c_975,plain,
    ! [X_204,Y_205] :
      ( geq(X_204,Y_205)
      | ~ leq(Y_205,X_204) ),
    inference(cnfTransformation,[status(thm)],[f_89]) ).

tff(c_983,plain,
    ! [X_7] : geq(X_7,X_7),
    inference(resolution,[status(thm)],[c_8,c_975]) ).

tff(c_500,plain,
    ! [X_173,I_171,VAL2_175,U_172] :
      ( ( a_select2(tptp_update2(X_173,I_171,VAL2_175),U_172) = a_select2(X_173,U_172) )
      | ( U_172 = I_171 ) ),
    inference(cnfTransformation,[status(thm)],[f_460]) ).

tff(c_3258,plain,
    ! [X_273,I_274,VAL2_275,U_276] :
      ( ( a_select2(tptp_update2(X_273,I_274,VAL2_275),U_276) = a_select2(X_273,U_276) )
      | ( U_276 = I_274 ) ),
    inference(cnfTransformation,[status(thm)],[f_460]) ).

tff(c_536,plain,
    a_select2(sigma_defuse,n0) = use,
    inference(cnfTransformation,[status(thm)],[f_534]) ).

tff(c_534,plain,
    a_select2(sigma_defuse,n1) = use,
    inference(cnfTransformation,[status(thm)],[f_534]) ).

tff(c_532,plain,
    a_select2(sigma_defuse,n2) = use,
    inference(cnfTransformation,[status(thm)],[f_534]) ).

tff(c_530,plain,
    a_select2(sigma_defuse,n3) = use,
    inference(cnfTransformation,[status(thm)],[f_534]) ).

tff(c_528,plain,
    a_select2(sigma_defuse,n4) = use,
    inference(cnfTransformation,[status(thm)],[f_534]) ).

tff(c_526,plain,
    a_select2(sigma_defuse,n5) = use,
    inference(cnfTransformation,[status(thm)],[f_534]) ).

tff(c_524,plain,
    a_select3(u_defuse,n0,n0) = use,
    inference(cnfTransformation,[status(thm)],[f_534]) ).

tff(c_522,plain,
    a_select3(u_defuse,n1,n0) = use,
    inference(cnfTransformation,[status(thm)],[f_534]) ).

tff(c_520,plain,
    a_select3(u_defuse,n2,n0) = use,
    inference(cnfTransformation,[status(thm)],[f_534]) ).

tff(c_518,plain,
    a_select2(xinit_defuse,n3) = use,
    inference(cnfTransformation,[status(thm)],[f_534]) ).

tff(c_516,plain,
    a_select2(xinit_defuse,n4) = use,
    inference(cnfTransformation,[status(thm)],[f_534]) ).

tff(c_514,plain,
    a_select2(xinit_defuse,n5) = use,
    inference(cnfTransformation,[status(thm)],[f_534]) ).

tff(c_512,plain,
    ( ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use )
    | ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use )
    | ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use )
    | ( a_select2(xinit_defuse,n5) != use )
    | ( a_select2(xinit_defuse,n4) != use )
    | ( a_select2(xinit_defuse,n3) != use )
    | ( a_select3(u_defuse,n2,n0) != use )
    | ( a_select3(u_defuse,n1,n0) != use )
    | ( a_select3(u_defuse,n0,n0) != use )
    | ( a_select2(sigma_defuse,n5) != use )
    | ( a_select2(sigma_defuse,n4) != use )
    | ( a_select2(sigma_defuse,n3) != use )
    | ( a_select2(sigma_defuse,n2) != use )
    | ( a_select2(sigma_defuse,n1) != use )
    | ( a_select2(sigma_defuse,n0) != use ) ),
    inference(cnfTransformation,[status(thm)],[f_534]) ).

tff(c_607,plain,
    ( ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n2) != use )
    | ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use )
    | ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_536,c_534,c_532,c_530,c_528,c_526,c_524,c_522,c_520,c_518,c_516,c_514,c_512]) ).

tff(c_609,plain,
    ( ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use )
    | ( a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use ) ),
    inference(demodulation,[status(thm),theory(equality)],[c_498,c_607]) ).

tff(c_889,plain,
    a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n0) != use,
    inference(splitLeft,[status(thm)],[c_609]) ).

tff(c_3268,plain,
    ( ( a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0) != use )
    | ( n2 = n0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_3258,c_889]) ).

tff(c_3473,plain,
    a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n0) != use,
    inference(splitLeft,[status(thm)],[c_3268]) ).

tff(c_3608,plain,
    ( ( a_select2(tptp_update2(rho_defuse,n0,use),n0) != use )
    | ( n1 = n0 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_500,c_3473]) ).

tff(c_3610,plain,
    n1 = n0,
    inference(demodulation,[status(thm),theory(equality)],[c_498,c_3608]) ).

tff(c_3611,plain,
    a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n0,use),n0) != use,
    inference(demodulation,[status(thm),theory(equality)],[c_3610,c_3473]) ).

tff(c_3659,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_498,c_3611]) ).

tff(c_3660,plain,
    n2 = n0,
    inference(splitRight,[status(thm)],[c_3268]) ).

tff(c_16,plain,
    ! [Y_14,X_13] :
      ( leq(Y_14,X_13)
      | ~ geq(X_13,Y_14) ),
    inference(cnfTransformation,[status(thm)],[f_89]) ).

tff(c_596,plain,
    succ(n0) = n1,
    inference(cnfTransformation,[status(thm)],[f_625]) ).

tff(c_598,plain,
    succ(succ(n0)) = n2,
    inference(cnfTransformation,[status(thm)],[f_626]) ).

tff(c_602,plain,
    succ(n1) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_596,c_598]) ).

tff(c_891,plain,
    ! [X_201] : ( succ(succ(X_201)) = plus(n2,X_201) ),
    inference(cnfTransformation,[status(thm)],[f_386]) ).

tff(c_921,plain,
    plus(n2,n0) = succ(n1),
    inference(superposition,[status(thm),theory(equality)],[c_596,c_891]) ).

tff(c_934,plain,
    plus(n2,n0) = n2,
    inference(demodulation,[status(thm),theory(equality)],[c_602,c_921]) ).

tff(c_456,plain,
    ! [X_133] : ( succ(succ(X_133)) = plus(n2,X_133) ),
    inference(cnfTransformation,[status(thm)],[f_386]) ).

tff(c_30,plain,
    ! [X_22,Y_23] :
      ( leq(X_22,succ(Y_23))
      | ~ leq(X_22,Y_23) ),
    inference(cnfTransformation,[status(thm)],[f_112]) ).

tff(c_1709,plain,
    ! [Y_230,X_231] :
      ( gt(succ(Y_230),X_231)
      | ~ leq(X_231,Y_230) ),
    inference(cnfTransformation,[status(thm)],[f_116]) ).

tff(c_6,plain,
    ! [X_6] : ~ gt(X_6,X_6),
    inference(cnfTransformation,[status(thm)],[f_71]) ).

tff(c_1824,plain,
    ! [Y_233] : ~ leq(succ(Y_233),Y_233),
    inference(resolution,[status(thm)],[c_1709,c_6]) ).

tff(c_1831,plain,
    ! [Y_23] : ~ leq(succ(succ(Y_23)),Y_23),
    inference(resolution,[status(thm)],[c_30,c_1824]) ).

tff(c_2959,plain,
    ! [Y_259] : ~ leq(plus(n2,Y_259),Y_259),
    inference(demodulation,[status(thm),theory(equality)],[c_456,c_1831]) ).

tff(c_2983,plain,
    ~ leq(n2,n0),
    inference(superposition,[status(thm),theory(equality)],[c_934,c_2959]) ).

tff(c_3021,plain,
    ~ geq(n0,n2),
    inference(resolution,[status(thm)],[c_16,c_2983]) ).

tff(c_3671,plain,
    ~ geq(n0,n0),
    inference(demodulation,[status(thm),theory(equality)],[c_3660,c_3021]) ).

tff(c_3723,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_983,c_3671]) ).

tff(c_3724,plain,
    a_select2(tptp_update2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n2,use),n1) != use,
    inference(splitRight,[status(thm)],[c_609]) ).

tff(c_6162,plain,
    ( ( a_select2(tptp_update2(tptp_update2(rho_defuse,n0,use),n1,use),n1) != use )
    | ( n2 = n1 ) ),
    inference(superposition,[status(thm),theory(equality)],[c_6149,c_3724]) ).

tff(c_6175,plain,
    n2 = n1,
    inference(demodulation,[status(thm),theory(equality)],[c_498,c_6162]) ).

tff(c_4076,plain,
    ! [Y_311,X_312] :
      ( gt(succ(Y_311),X_312)
      | ~ leq(X_312,Y_311) ),
    inference(cnfTransformation,[status(thm)],[f_116]) ).

tff(c_4152,plain,
    ! [Y_314] : ~ leq(succ(Y_314),Y_314),
    inference(resolution,[status(thm)],[c_4076,c_6]) ).

tff(c_4182,plain,
    ~ leq(n2,n1),
    inference(superposition,[status(thm),theory(equality)],[c_602,c_4152]) ).

tff(c_4284,plain,
    ~ geq(n1,n2),
    inference(resolution,[status(thm)],[c_16,c_4182]) ).

tff(c_6195,plain,
    ~ geq(n1,n1),
    inference(demodulation,[status(thm),theory(equality)],[c_6175,c_4284]) ).

tff(c_6237,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_3879,c_6195]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : SWV102+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.15  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu Aug  3 23:15:31 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 11.01/3.56  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 11.01/3.57  
% 11.01/3.57  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 11.35/3.60  
% 11.35/3.60  Inference rules
% 11.35/3.60  ----------------------
% 11.35/3.60  #Ref     : 0
% 11.35/3.60  #Sup     : 1486
% 11.35/3.60  #Fact    : 4
% 11.35/3.60  #Define  : 0
% 11.35/3.60  #Split   : 2
% 11.35/3.60  #Chain   : 0
% 11.35/3.60  #Close   : 0
% 11.35/3.60  
% 11.35/3.60  Ordering : KBO
% 11.35/3.60  
% 11.35/3.60  Simplification rules
% 11.35/3.60  ----------------------
% 11.35/3.60  #Subsume      : 161
% 11.35/3.60  #Demod        : 572
% 11.35/3.60  #Tautology    : 467
% 11.35/3.60  #SimpNegUnit  : 7
% 11.35/3.60  #BackRed      : 157
% 11.35/3.60  
% 11.35/3.60  #Partial instantiations: 0
% 11.35/3.60  #Strategies tried      : 1
% 11.35/3.60  
% 11.35/3.60  Timing (in seconds)
% 11.35/3.60  ----------------------
% 11.35/3.61  Preprocessing        : 0.91
% 11.35/3.61  Parsing              : 0.36
% 11.35/3.61  CNF conversion       : 0.07
% 11.35/3.61  Main loop            : 1.59
% 11.35/3.61  Inferencing          : 0.43
% 11.35/3.61  Reduction            : 0.60
% 11.35/3.61  Demodulation         : 0.42
% 11.35/3.61  BG Simplification    : 0.12
% 11.35/3.61  Subsumption          : 0.36
% 11.35/3.61  Abstraction          : 0.07
% 11.35/3.61  MUC search           : 0.00
% 11.35/3.61  Cooper               : 0.00
% 11.35/3.61  Total                : 2.56
% 11.35/3.61  Index Insertion      : 0.00
% 11.35/3.61  Index Deletion       : 0.00
% 11.35/3.61  Index Matching       : 0.00
% 11.35/3.61  BG Taut test         : 0.00
%------------------------------------------------------------------------------