TSTP Solution File: SWV370+1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SWV370+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s

% Computer : n012.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 11:03:55 EDT 2023

% Result   : Theorem 7.60s 2.84s
% Output   : CNFRefutation 7.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   65
% Syntax   : Number of formulae    :  130 (  44 unt;  60 typ;   0 def)
%            Number of atoms       :  103 (  15 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   67 (  34   ~;  27   |;   0   &)
%                                         (   5 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   76 (  45   >;  31   *;   0   +;   0  <<)
%            Number of predicates  :   21 (  19 usr;   1 prp; 0-3 aty)
%            Number of functors    :   41 (  41 usr;  15 con; 0-3 aty)
%            Number of variables   :   75 (;  75   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ pair_in_list > succ_cpq > strictly_less_than > pi_sharp_removemin > pi_sharp_remove > pi_sharp_find_min > pi_remove > less_than > issmallestelement_pq > contains_slb > contains_pq > contains_cpq > pi_removemin > pi_find_min > phi > ok > isnonempty_slb > isnonempty_pq > check_cpq > triple > update_slb > removemin_pq_res > removemin_pq_eff > remove_slb > remove_pqp > remove_pq > remove_cpq > pair > lookup_slb > insert_slb > insert_pqp > insert_pq > insert_cpq > findmin_pq_res > findmin_pq_eff > #nlpp > removemin_cpq_res > removemin_cpq_eff > i > findmin_pqp_res > findmin_cpq_res > findmin_cpq_eff > create_slb > create_pq > bottom > bad > #skF_2 > #skF_4 > #skF_11 > #skF_15 > #skF_7 > #skF_10 > #skF_14 > #skF_5 > #skF_6 > #skF_13 > #skF_9 > #skF_8 > #skF_3 > #skF_1 > #skF_12

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(bad,type,
    bad: $i ).

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

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

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

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

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

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

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

tff(pi_find_min,type,
    pi_find_min: $i > $o ).

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

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

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

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

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

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

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

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

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

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

tff(pi_removemin,type,
    pi_removemin: $i > $o ).

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

tff(phi,type,
    phi: $i > $o ).

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

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

tff(isnonempty_pq,type,
    isnonempty_pq: $i > $o ).

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

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

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

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

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

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

tff('#skF_13',type,
    '#skF_13': $i ).

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

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

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

tff(ok,type,
    ok: $i > $o ).

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

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

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

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

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

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

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

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

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

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

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

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

tff(isnonempty_slb,type,
    isnonempty_slb: $i > $o ).

tff(check_cpq,type,
    check_cpq: $i > $o ).

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

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

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

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

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

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

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

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

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

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

tff(f_110,axiom,
    ! [U,V,W] :
      ( contains_pq(insert_pq(U,V),W)
    <=> ( contains_pq(U,W)
        | ( V = W ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+1.ax',ax9) ).

tff(f_295,axiom,
    ! [U,V,W,X] :
      ( contains_cpq(triple(U,V,W),X)
    <=> contains_slb(V,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+3.ax',ax39) ).

tff(f_448,negated_conjecture,
    ~ ! [U] :
        ( ! [V,W,X] :
            ( contains_cpq(triple(V,U,W),X)
          <=> contains_pq(i(triple(V,U,W)),X) )
       => ! [Y,Z,X1,X2,X3] :
            ( contains_cpq(triple(Y,insert_slb(U,pair(X1,X2)),Z),X3)
          <=> contains_pq(i(triple(Y,insert_slb(U,pair(X1,X2)),Z)),X3) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l6_co) ).

tff(f_391,axiom,
    ! [U,V,W,X,Y] : ( i(triple(U,insert_slb(V,pair(X,Y)),W)) = insert_pq(i(triple(U,V,W)),X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+4.ax',ax55) ).

tff(f_191,axiom,
    ! [U,V,W,X] :
      ( contains_slb(insert_slb(U,pair(V,X)),W)
    <=> ( contains_slb(U,W)
        | ( V = W ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SWV007+2.ax',ax21) ).

tff(c_24,plain,
    ! [U_13,W_15] : contains_pq(insert_pq(U_13,W_15),W_15),
    inference(cnfTransformation,[status(thm)],[f_110]) ).

tff(c_104,plain,
    ! [U_98,V_99,W_100,X_101] :
      ( contains_cpq(triple(U_98,V_99,W_100),X_101)
      | ~ contains_slb(V_99,X_101) ),
    inference(cnfTransformation,[status(thm)],[f_295]) ).

tff(c_174,plain,
    ! [V_180,W_181,X_182] :
      ( contains_pq(i(triple(V_180,'#skF_5',W_181)),X_182)
      | ~ contains_cpq(triple(V_180,'#skF_5',W_181),X_182) ),
    inference(cnfTransformation,[status(thm)],[f_448]) ).

tff(c_26,plain,
    ! [U_13,W_15,V_14] :
      ( ~ contains_pq(U_13,W_15)
      | contains_pq(insert_pq(U_13,V_14),W_15) ),
    inference(cnfTransformation,[status(thm)],[f_110]) ).

tff(c_136,plain,
    ! [V_148,U_147,X_150,Y_151,W_149] : ( i(triple(U_147,insert_slb(V_148,pair(X_150,Y_151)),W_149)) = insert_pq(i(triple(U_147,V_148,W_149)),X_150) ),
    inference(cnfTransformation,[status(thm)],[f_391]) ).

tff(c_180,plain,
    ( contains_pq(i(triple('#skF_6',insert_slb('#skF_5',pair('#skF_8','#skF_9')),'#skF_7')),'#skF_10')
    | ~ contains_pq(i(triple('#skF_11',insert_slb('#skF_5',pair('#skF_13','#skF_14')),'#skF_12')),'#skF_15') ),
    inference(cnfTransformation,[status(thm)],[f_448]) ).

tff(c_187,plain,
    ( contains_pq(insert_pq(i(triple('#skF_6','#skF_5','#skF_7')),'#skF_8'),'#skF_10')
    | ~ contains_pq(insert_pq(i(triple('#skF_11','#skF_5','#skF_12')),'#skF_13'),'#skF_15') ),
    inference(demodulation,[status(thm),theory(equality)],[c_136,c_136,c_180]) ).

tff(c_2996,plain,
    ~ contains_pq(insert_pq(i(triple('#skF_11','#skF_5','#skF_12')),'#skF_13'),'#skF_15'),
    inference(splitLeft,[status(thm)],[c_187]) ).

tff(c_3000,plain,
    ~ contains_pq(i(triple('#skF_11','#skF_5','#skF_12')),'#skF_15'),
    inference(resolution,[status(thm)],[c_26,c_2996]) ).

tff(c_3008,plain,
    ~ contains_cpq(triple('#skF_11','#skF_5','#skF_12'),'#skF_15'),
    inference(resolution,[status(thm)],[c_174,c_3000]) ).

tff(c_3016,plain,
    ~ contains_slb('#skF_5','#skF_15'),
    inference(resolution,[status(thm)],[c_104,c_3008]) ).

tff(c_56,plain,
    ! [U_41,W_43,X_44] : contains_slb(insert_slb(U_41,pair(W_43,X_44)),W_43),
    inference(cnfTransformation,[status(thm)],[f_191]) ).

tff(c_866,plain,
    ! [U_360,W_361,V_362,X_363] :
      ( ~ contains_slb(U_360,W_361)
      | contains_slb(insert_slb(U_360,pair(V_362,X_363)),W_361) ),
    inference(cnfTransformation,[status(thm)],[f_191]) ).

tff(c_657,plain,
    ! [U_332,V_333,W_334,X_335] :
      ( contains_cpq(triple(U_332,V_333,W_334),X_335)
      | ~ contains_slb(V_333,X_335) ),
    inference(cnfTransformation,[status(thm)],[f_295]) ).

tff(c_182,plain,
    ( ~ contains_cpq(triple('#skF_6',insert_slb('#skF_5',pair('#skF_8','#skF_9')),'#skF_7'),'#skF_10')
    | contains_cpq(triple('#skF_11',insert_slb('#skF_5',pair('#skF_13','#skF_14')),'#skF_12'),'#skF_15') ),
    inference(cnfTransformation,[status(thm)],[f_448]) ).

tff(c_257,plain,
    ~ contains_cpq(triple('#skF_6',insert_slb('#skF_5',pair('#skF_8','#skF_9')),'#skF_7'),'#skF_10'),
    inference(splitLeft,[status(thm)],[c_182]) ).

tff(c_661,plain,
    ~ contains_slb(insert_slb('#skF_5',pair('#skF_8','#skF_9')),'#skF_10'),
    inference(resolution,[status(thm)],[c_657,c_257]) ).

tff(c_870,plain,
    ~ contains_slb('#skF_5','#skF_10'),
    inference(resolution,[status(thm)],[c_866,c_661]) ).

tff(c_871,plain,
    ~ contains_pq(insert_pq(i(triple('#skF_11','#skF_5','#skF_12')),'#skF_13'),'#skF_15'),
    inference(splitLeft,[status(thm)],[c_187]) ).

tff(c_875,plain,
    ~ contains_pq(i(triple('#skF_11','#skF_5','#skF_12')),'#skF_15'),
    inference(resolution,[status(thm)],[c_26,c_871]) ).

tff(c_883,plain,
    ~ contains_cpq(triple('#skF_11','#skF_5','#skF_12'),'#skF_15'),
    inference(resolution,[status(thm)],[c_174,c_875]) ).

tff(c_891,plain,
    ~ contains_slb('#skF_5','#skF_15'),
    inference(resolution,[status(thm)],[c_104,c_883]) ).

tff(c_184,plain,
    ( contains_pq(i(triple('#skF_6',insert_slb('#skF_5',pair('#skF_8','#skF_9')),'#skF_7')),'#skF_10')
    | contains_cpq(triple('#skF_11',insert_slb('#skF_5',pair('#skF_13','#skF_14')),'#skF_12'),'#skF_15') ),
    inference(cnfTransformation,[status(thm)],[f_448]) ).

tff(c_186,plain,
    ( contains_pq(insert_pq(i(triple('#skF_6','#skF_5','#skF_7')),'#skF_8'),'#skF_10')
    | contains_cpq(triple('#skF_11',insert_slb('#skF_5',pair('#skF_13','#skF_14')),'#skF_12'),'#skF_15') ),
    inference(demodulation,[status(thm),theory(equality)],[c_136,c_184]) ).

tff(c_1806,plain,
    contains_cpq(triple('#skF_11',insert_slb('#skF_5',pair('#skF_13','#skF_14')),'#skF_12'),'#skF_15'),
    inference(splitLeft,[status(thm)],[c_186]) ).

tff(c_102,plain,
    ! [V_99,X_101,U_98,W_100] :
      ( contains_slb(V_99,X_101)
      | ~ contains_cpq(triple(U_98,V_99,W_100),X_101) ),
    inference(cnfTransformation,[status(thm)],[f_295]) ).

tff(c_1855,plain,
    contains_slb(insert_slb('#skF_5',pair('#skF_13','#skF_14')),'#skF_15'),
    inference(resolution,[status(thm)],[c_1806,c_102]) ).

tff(c_1870,plain,
    ! [W_455,V_456,U_457,X_458] :
      ( ( W_455 = V_456 )
      | contains_slb(U_457,W_455)
      | ~ contains_slb(insert_slb(U_457,pair(V_456,X_458)),W_455) ),
    inference(cnfTransformation,[status(thm)],[f_191]) ).

tff(c_1873,plain,
    ( ( '#skF_15' = '#skF_13' )
    | contains_slb('#skF_5','#skF_15') ),
    inference(resolution,[status(thm)],[c_1855,c_1870]) ).

tff(c_1882,plain,
    '#skF_15' = '#skF_13',
    inference(negUnitSimplification,[status(thm)],[c_891,c_1873]) ).

tff(c_1892,plain,
    ~ contains_pq(insert_pq(i(triple('#skF_11','#skF_5','#skF_12')),'#skF_13'),'#skF_13'),
    inference(demodulation,[status(thm),theory(equality)],[c_1882,c_871]) ).

tff(c_1896,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_24,c_1892]) ).

tff(c_1897,plain,
    contains_pq(insert_pq(i(triple('#skF_6','#skF_5','#skF_7')),'#skF_8'),'#skF_10'),
    inference(splitRight,[status(thm)],[c_186]) ).

tff(c_22,plain,
    ! [W_15,V_14,U_13] :
      ( ( W_15 = V_14 )
      | contains_pq(U_13,W_15)
      | ~ contains_pq(insert_pq(U_13,V_14),W_15) ),
    inference(cnfTransformation,[status(thm)],[f_110]) ).

tff(c_1904,plain,
    ( ( '#skF_10' = '#skF_8' )
    | contains_pq(i(triple('#skF_6','#skF_5','#skF_7')),'#skF_10') ),
    inference(resolution,[status(thm)],[c_1897,c_22]) ).

tff(c_1906,plain,
    contains_pq(i(triple('#skF_6','#skF_5','#skF_7')),'#skF_10'),
    inference(splitLeft,[status(thm)],[c_1904]) ).

tff(c_176,plain,
    ! [V_180,W_181,X_182] :
      ( contains_cpq(triple(V_180,'#skF_5',W_181),X_182)
      | ~ contains_pq(i(triple(V_180,'#skF_5',W_181)),X_182) ),
    inference(cnfTransformation,[status(thm)],[f_448]) ).

tff(c_1917,plain,
    contains_cpq(triple('#skF_6','#skF_5','#skF_7'),'#skF_10'),
    inference(resolution,[status(thm)],[c_1906,c_176]) ).

tff(c_1924,plain,
    contains_slb('#skF_5','#skF_10'),
    inference(resolution,[status(thm)],[c_1917,c_102]) ).

tff(c_1928,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_870,c_1924]) ).

tff(c_1929,plain,
    '#skF_10' = '#skF_8',
    inference(splitRight,[status(thm)],[c_1904]) ).

tff(c_1933,plain,
    ~ contains_slb(insert_slb('#skF_5',pair('#skF_8','#skF_9')),'#skF_8'),
    inference(demodulation,[status(thm),theory(equality)],[c_1929,c_661]) ).

tff(c_1938,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_56,c_1933]) ).

tff(c_1939,plain,
    contains_pq(insert_pq(i(triple('#skF_6','#skF_5','#skF_7')),'#skF_8'),'#skF_10'),
    inference(splitRight,[status(thm)],[c_187]) ).

tff(c_1946,plain,
    ( ( '#skF_10' = '#skF_8' )
    | contains_pq(i(triple('#skF_6','#skF_5','#skF_7')),'#skF_10') ),
    inference(resolution,[status(thm)],[c_1939,c_22]) ).

tff(c_1955,plain,
    contains_pq(i(triple('#skF_6','#skF_5','#skF_7')),'#skF_10'),
    inference(splitLeft,[status(thm)],[c_1946]) ).

tff(c_1966,plain,
    contains_cpq(triple('#skF_6','#skF_5','#skF_7'),'#skF_10'),
    inference(resolution,[status(thm)],[c_1955,c_176]) ).

tff(c_1973,plain,
    contains_slb('#skF_5','#skF_10'),
    inference(resolution,[status(thm)],[c_1966,c_102]) ).

tff(c_1977,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_870,c_1973]) ).

tff(c_1978,plain,
    '#skF_10' = '#skF_8',
    inference(splitRight,[status(thm)],[c_1946]) ).

tff(c_1982,plain,
    ~ contains_slb(insert_slb('#skF_5',pair('#skF_8','#skF_9')),'#skF_8'),
    inference(demodulation,[status(thm),theory(equality)],[c_1978,c_661]) ).

tff(c_1987,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_56,c_1982]) ).

tff(c_1988,plain,
    contains_cpq(triple('#skF_11',insert_slb('#skF_5',pair('#skF_13','#skF_14')),'#skF_12'),'#skF_15'),
    inference(splitRight,[status(thm)],[c_182]) ).

tff(c_2291,plain,
    ! [V_543,X_544,U_545,W_546] :
      ( contains_slb(V_543,X_544)
      | ~ contains_cpq(triple(U_545,V_543,W_546),X_544) ),
    inference(cnfTransformation,[status(thm)],[f_295]) ).

tff(c_2298,plain,
    contains_slb(insert_slb('#skF_5',pair('#skF_13','#skF_14')),'#skF_15'),
    inference(resolution,[status(thm)],[c_1988,c_2291]) ).

tff(c_3414,plain,
    ! [W_660,V_661,U_662,X_663] :
      ( ( W_660 = V_661 )
      | contains_slb(U_662,W_660)
      | ~ contains_slb(insert_slb(U_662,pair(V_661,X_663)),W_660) ),
    inference(cnfTransformation,[status(thm)],[f_191]) ).

tff(c_3423,plain,
    ( ( '#skF_15' = '#skF_13' )
    | contains_slb('#skF_5','#skF_15') ),
    inference(resolution,[status(thm)],[c_2298,c_3414]) ).

tff(c_3431,plain,
    '#skF_15' = '#skF_13',
    inference(negUnitSimplification,[status(thm)],[c_3016,c_3423]) ).

tff(c_3438,plain,
    ~ contains_pq(insert_pq(i(triple('#skF_11','#skF_5','#skF_12')),'#skF_13'),'#skF_13'),
    inference(demodulation,[status(thm),theory(equality)],[c_3431,c_2996]) ).

tff(c_3443,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_24,c_3438]) ).

tff(c_3445,plain,
    contains_pq(insert_pq(i(triple('#skF_11','#skF_5','#skF_12')),'#skF_13'),'#skF_15'),
    inference(splitRight,[status(thm)],[c_187]) ).

tff(c_1989,plain,
    contains_cpq(triple('#skF_6',insert_slb('#skF_5',pair('#skF_8','#skF_9')),'#skF_7'),'#skF_10'),
    inference(splitRight,[status(thm)],[c_182]) ).

tff(c_178,plain,
    ( ~ contains_cpq(triple('#skF_6',insert_slb('#skF_5',pair('#skF_8','#skF_9')),'#skF_7'),'#skF_10')
    | ~ contains_pq(i(triple('#skF_11',insert_slb('#skF_5',pair('#skF_13','#skF_14')),'#skF_12')),'#skF_15') ),
    inference(cnfTransformation,[status(thm)],[f_448]) ).

tff(c_185,plain,
    ( ~ contains_cpq(triple('#skF_6',insert_slb('#skF_5',pair('#skF_8','#skF_9')),'#skF_7'),'#skF_10')
    | ~ contains_pq(insert_pq(i(triple('#skF_11','#skF_5','#skF_12')),'#skF_13'),'#skF_15') ),
    inference(demodulation,[status(thm),theory(equality)],[c_136,c_178]) ).

tff(c_3647,plain,
    $false,
    inference(demodulation,[status(thm),theory(equality)],[c_3445,c_1989,c_185]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWV370+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command  : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35  % Computer : n012.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 22:34:22 EDT 2023
% 0.13/0.36  % CPUTime  : 
% 7.60/2.84  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.60/2.85  
% 7.60/2.85  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.60/2.88  
% 7.60/2.88  Inference rules
% 7.60/2.88  ----------------------
% 7.60/2.88  #Ref     : 0
% 7.60/2.88  #Sup     : 745
% 7.60/2.88  #Fact    : 14
% 7.60/2.88  #Define  : 0
% 7.60/2.88  #Split   : 10
% 7.60/2.88  #Chain   : 0
% 7.60/2.88  #Close   : 0
% 7.60/2.88  
% 7.60/2.88  Ordering : KBO
% 7.60/2.88  
% 7.60/2.88  Simplification rules
% 7.60/2.88  ----------------------
% 7.60/2.88  #Subsume      : 78
% 7.60/2.88  #Demod        : 150
% 7.60/2.88  #Tautology    : 306
% 7.60/2.88  #SimpNegUnit  : 25
% 7.60/2.88  #BackRed      : 22
% 7.60/2.88  
% 7.60/2.88  #Partial instantiations: 0
% 7.60/2.88  #Strategies tried      : 1
% 7.60/2.88  
% 7.60/2.88  Timing (in seconds)
% 7.60/2.88  ----------------------
% 7.60/2.88  Preprocessing        : 0.71
% 7.60/2.88  Parsing              : 0.36
% 7.60/2.88  CNF conversion       : 0.06
% 7.60/2.88  Main loop            : 1.02
% 7.60/2.88  Inferencing          : 0.39
% 7.60/2.88  Reduction            : 0.31
% 7.60/2.88  Demodulation         : 0.22
% 7.60/2.88  BG Simplification    : 0.05
% 7.60/2.88  Subsumption          : 0.18
% 7.60/2.88  Abstraction          : 0.04
% 7.60/2.88  MUC search           : 0.00
% 7.60/2.88  Cooper               : 0.00
% 7.60/2.88  Total                : 1.78
% 7.60/2.88  Index Insertion      : 0.00
% 7.60/2.88  Index Deletion       : 0.00
% 7.60/2.88  Index Matching       : 0.00
% 7.60/2.88  BG Taut test         : 0.00
%------------------------------------------------------------------------------