TSTP Solution File: SYN143-1 by Beagle---0.9.51

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Beagle---0.9.51
% Problem  : SYN143-1 : TPTP v8.1.2. Released v1.1.0.
% 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 : n019.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 11:09:44 EDT 2023

% Result   : Unsatisfiable 93.13s 78.05s
% Output   : CNFRefutation 93.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   85
% Syntax   : Number of formulae    :  169 (  54 unt;  53 typ;   0 def)
%            Number of atoms       :  231 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  239 ( 124   ~; 115   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   90 (  48   >;  42   *;   0   +;   0  <<)
%            Number of predicates  :   49 (  48 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :  151 (; 151   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
%$ r3 > q2 > q1 > p5 > p4 > p3 > p2 > p1 > n1 > m3 > m1 > m0 > k3 > s3 > r5 > q5 > q4 > q3 > q0 > p0 > n5 > n4 > n0 > m5 > m4 > l3 > l2 > l1 > k2 > s5 > s4 > s2 > s1 > s0 > r4 > r2 > r1 > r0 > n3 > n2 > m2 > l5 > l4 > l0 > k5 > k4 > k1 > k0 > #nlpp > e > d > c > b > a

%Foreground sorts:

%Background operators:

%Foreground operators:
tff(n5,type,
    n5: ( $i * $i ) > $o ).

tff(p2,type,
    p2: ( $i * $i * $i ) > $o ).

tff(m2,type,
    m2: $i > $o ).

tff(s5,type,
    s5: $i > $o ).

tff(s1,type,
    s1: $i > $o ).

tff(m5,type,
    m5: ( $i * $i ) > $o ).

tff(q4,type,
    q4: ( $i * $i ) > $o ).

tff(m4,type,
    m4: ( $i * $i ) > $o ).

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

tff(k1,type,
    k1: $i > $o ).

tff(l1,type,
    l1: ( $i * $i ) > $o ).

tff(s0,type,
    s0: $i > $o ).

tff(q2,type,
    q2: ( $i * $i * $i ) > $o ).

tff(n0,type,
    n0: ( $i * $i ) > $o ).

tff(k0,type,
    k0: $i > $o ).

tff(m3,type,
    m3: ( $i * $i * $i ) > $o ).

tff(r4,type,
    r4: $i > $o ).

tff(l0,type,
    l0: $i > $o ).

tff(q0,type,
    q0: ( $i * $i ) > $o ).

tff(k4,type,
    k4: $i > $o ).

tff(m1,type,
    m1: ( $i * $i * $i ) > $o ).

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

tff(p0,type,
    p0: ( $i * $i ) > $o ).

tff(r0,type,
    r0: $i > $o ).

tff(q1,type,
    q1: ( $i * $i * $i ) > $o ).

tff(s4,type,
    s4: $i > $o ).

tff(r3,type,
    r3: ( $i * $i * $i ) > $o ).

tff(k2,type,
    k2: ( $i * $i ) > $o ).

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

tff(s3,type,
    s3: ( $i * $i ) > $o ).

tff(l3,type,
    l3: ( $i * $i ) > $o ).

tff(p3,type,
    p3: ( $i * $i * $i ) > $o ).

tff(p4,type,
    p4: ( $i * $i * $i ) > $o ).

tff(s2,type,
    s2: $i > $o ).

tff(r5,type,
    r5: ( $i * $i ) > $o ).

tff(k3,type,
    k3: ( $i * $i * $i ) > $o ).

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

tff(l2,type,
    l2: ( $i * $i ) > $o ).

tff(l4,type,
    l4: $i > $o ).

tff(l5,type,
    l5: $i > $o ).

tff(k5,type,
    k5: $i > $o ).

tff(p5,type,
    p5: ( $i * $i * $i ) > $o ).

tff(n4,type,
    n4: ( $i * $i ) > $o ).

tff(q3,type,
    q3: ( $i * $i ) > $o ).

tff(m0,type,
    m0: ( $i * $i * $i ) > $o ).

tff(q5,type,
    q5: ( $i * $i ) > $o ).

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

tff(n1,type,
    n1: ( $i * $i * $i ) > $o ).

tff(r1,type,
    r1: $i > $o ).

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

tff(r2,type,
    r2: $i > $o ).

tff(p1,type,
    p1: ( $i * $i * $i ) > $o ).

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

tff(f_59,axiom,
    ! [X] : p0(b,X),
    file(unknown,unknown) ).

tff(f_761,axiom,
    ! [B,C] :
      ( p1(B,B,B)
      | ~ p0(C,B) ),
    file(unknown,unknown) ).

tff(f_1169,axiom,
    ! [A,B,C] :
      ( n2(A)
      | ~ p1(B,C,A) ),
    file(unknown,unknown) ).

tff(f_2042,axiom,
    ! [H] :
      ( p3(H,H,H)
      | ~ n2(H) ),
    file(unknown,unknown) ).

tff(f_2566,axiom,
    ! [B] :
      ( m5(B,B)
      | ~ s4(B)
      | ~ m4(e,e) ),
    file(unknown,unknown) ).

tff(f_77,axiom,
    n0(e,e),
    file(unknown,unknown) ).

tff(f_70,axiom,
    m0(a,e,e),
    file(unknown,unknown) ).

tff(f_63,axiom,
    ! [X] : q0(X,d),
    file(unknown,unknown) ).

tff(f_1081,axiom,
    ! [F,G,H] :
      ( s1(F)
      | ~ q0(F,G)
      | ~ s1(H) ),
    file(unknown,unknown) ).

tff(f_1073,axiom,
    ! [I] :
      ( s1(I)
      | ~ p0(I,I) ),
    file(unknown,unknown) ).

tff(f_1141,axiom,
    ! [J,A,B,C] :
      ( l2(J,J)
      | ~ p0(A,A)
      | ~ s1(B)
      | ~ m0(C,B,J) ),
    file(unknown,unknown) ).

tff(f_1123,axiom,
    ! [D,E] :
      ( l2(D,E)
      | ~ s1(D)
      | ~ n0(e,E)
      | ~ l2(E,E) ),
    file(unknown,unknown) ).

tff(f_61,axiom,
    m0(c,b,a),
    file(unknown,unknown) ).

tff(f_559,axiom,
    ! [H,I,J,A] :
      ( n1(H,H,I)
      | ~ m0(J,A,A)
      | ~ m0(I,J,H) ),
    file(unknown,unknown) ).

tff(f_85,axiom,
    m0(b,a,a),
    file(unknown,unknown) ).

tff(f_2148,axiom,
    ! [B,C,D] :
      ( q3(B,C)
      | ~ n1(D,B,C)
      | ~ s2(B)
      | ~ q3(C,B) ),
    file(unknown,unknown) ).

tff(f_67,axiom,
    l0(a),
    file(unknown,unknown) ).

tff(f_84,axiom,
    n0(b,a),
    file(unknown,unknown) ).

tff(f_96,axiom,
    ! [G,H] :
      ( l1(G,G)
      | ~ n0(H,G) ),
    file(unknown,unknown) ).

tff(f_48,axiom,
    s0(b),
    file(unknown,unknown) ).

tff(f_477,axiom,
    ! [D,E] :
      ( n1(D,E,D)
      | ~ s0(b)
      | ~ l0(D)
      | ~ p0(b,E) ),
    file(unknown,unknown) ).

tff(f_521,axiom,
    ! [E,F,G] :
      ( n1(E,F,F)
      | ~ l0(G)
      | ~ l1(G,E)
      | ~ n1(E,F,E) ),
    file(unknown,unknown) ).

tff(f_79,axiom,
    k0(b),
    file(unknown,unknown) ).

tff(f_1493,axiom,
    ! [E,F] :
      ( q2(E,F,F)
      | ~ k0(F)
      | ~ p1(E,E,E) ),
    file(unknown,unknown) ).

tff(f_1535,axiom,
    ! [F,G,H] :
      ( q2(F,G,F)
      | ~ p1(F,F,H)
      | ~ n1(G,F,H)
      | ~ q2(G,H,F) ),
    file(unknown,unknown) ).

tff(f_1597,axiom,
    ! [H] :
      ( s2(H)
      | ~ q2(b,H,b)
      | ~ s1(b) ),
    file(unknown,unknown) ).

tff(f_1524,axiom,
    ! [I] :
      ( q2(I,I,I)
      | ~ p1(I,I,I) ),
    file(unknown,unknown) ).

tff(f_2297,axiom,
    ! [I,J,A,B] :
      ( s3(I,J)
      | ~ q2(A,I,A)
      | ~ s2(I)
      | ~ m0(A,B,J) ),
    file(unknown,unknown) ).

tff(f_2350,axiom,
    ! [E,F,G] :
      ( m4(E,F)
      | ~ l2(G,F)
      | ~ s3(a,E) ),
    file(unknown,unknown) ).

tff(f_2764,axiom,
    ~ m5(d,d),
    file(unknown,unknown) ).

tff(f_81,axiom,
    n0(c,d),
    file(unknown,unknown) ).

tff(f_2522,axiom,
    ! [A,B,C,D] :
      ( s4(A)
      | ~ p3(B,C,D)
      | ~ l1(A,C) ),
    file(unknown,unknown) ).

tff(c_28,plain,
    ! [X_2] : p0(b,X_2),
    inference(cnfTransformation,[status(thm)],[f_59]) ).

tff(c_294377,plain,
    ! [C_32418,B_32419] :
      ( ~ p0(C_32418,B_32419)
      | p1(B_32419,B_32419,B_32419) ),
    inference(cnfTransformation,[status(thm)],[f_761]) ).

tff(c_294395,plain,
    ! [X_32420] : p1(X_32420,X_32420,X_32420),
    inference(resolution,[status(thm)],[c_28,c_294377]) ).

tff(c_350,plain,
    ! [B_257,C_258,A_256] :
      ( ~ p1(B_257,C_258,A_256)
      | n2(A_256) ),
    inference(cnfTransformation,[status(thm)],[f_1169]) ).

tff(c_294399,plain,
    ! [X_32420] : n2(X_32420),
    inference(resolution,[status(thm)],[c_294395,c_350]) ).

tff(c_564,plain,
    ! [H_442] :
      ( ~ n2(H_442)
      | p3(H_442,H_442,H_442) ),
    inference(cnfTransformation,[status(thm)],[f_2042]) ).

tff(c_294410,plain,
    ! [H_442] : p3(H_442,H_442,H_442),
    inference(demodulation,[status(thm),theory(equality)],[c_294399,c_564]) ).

tff(c_686,plain,
    ! [B_581] :
      ( ~ m4(e,e)
      | ~ s4(B_581)
      | m5(B_581,B_581) ),
    inference(cnfTransformation,[status(thm)],[f_2566]) ).

tff(c_321910,plain,
    ~ m4(e,e),
    inference(splitLeft,[status(thm)],[c_686]) ).

tff(c_60,plain,
    n0(e,e),
    inference(cnfTransformation,[status(thm)],[f_77]) ).

tff(c_46,plain,
    m0(a,e,e),
    inference(cnfTransformation,[status(thm)],[f_70]) ).

tff(c_34,plain,
    ! [X_3] : q0(X_3,d),
    inference(cnfTransformation,[status(thm)],[f_63]) ).

tff(c_328,plain,
    ! [H_236,F_234,G_235] :
      ( ~ s1(H_236)
      | ~ q0(F_234,G_235)
      | s1(F_234) ),
    inference(cnfTransformation,[status(thm)],[f_1081]) ).

tff(c_321792,plain,
    ! [H_236] : ~ s1(H_236),
    inference(splitLeft,[status(thm)],[c_328]) ).

tff(c_14310,plain,
    ! [I_2682] :
      ( ~ p0(I_2682,I_2682)
      | s1(I_2682) ),
    inference(cnfTransformation,[status(thm)],[f_1073]) ).

tff(c_14315,plain,
    s1(b),
    inference(resolution,[status(thm)],[c_28,c_14310]) ).

tff(c_321796,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_321792,c_14315]) ).

tff(c_321798,plain,
    ! [F_35016,G_35017] :
      ( ~ q0(F_35016,G_35017)
      | s1(F_35016) ),
    inference(splitRight,[status(thm)],[c_328]) ).

tff(c_321821,plain,
    ! [X_3] : s1(X_3),
    inference(resolution,[status(thm)],[c_34,c_321798]) ).

tff(c_342,plain,
    ! [C_249,B_248,J_246,A_247] :
      ( ~ m0(C_249,B_248,J_246)
      | ~ s1(B_248)
      | ~ p0(A_247,A_247)
      | l2(J_246,J_246) ),
    inference(cnfTransformation,[status(thm)],[f_1141]) ).

tff(c_371525,plain,
    ! [C_249,B_248,J_246,A_247] :
      ( ~ m0(C_249,B_248,J_246)
      | ~ p0(A_247,A_247)
      | l2(J_246,J_246) ),
    inference(demodulation,[status(thm),theory(equality)],[c_321821,c_342]) ).

tff(c_371527,plain,
    ! [A_39393] : ~ p0(A_39393,A_39393),
    inference(splitLeft,[status(thm)],[c_371525]) ).

tff(c_371532,plain,
    $false,
    inference(resolution,[status(thm)],[c_28,c_371527]) ).

tff(c_371540,plain,
    ! [C_39394,B_39395,J_39396] :
      ( ~ m0(C_39394,B_39395,J_39396)
      | l2(J_39396,J_39396) ),
    inference(splitRight,[status(thm)],[c_371525]) ).

tff(c_371557,plain,
    l2(e,e),
    inference(resolution,[status(thm)],[c_46,c_371540]) ).

tff(c_338,plain,
    ! [E_245,D_244] :
      ( ~ l2(E_245,E_245)
      | ~ n0(e,E_245)
      | ~ s1(D_244)
      | l2(D_244,E_245) ),
    inference(cnfTransformation,[status(thm)],[f_1123]) ).

tff(c_362663,plain,
    ! [E_245,D_244] :
      ( ~ l2(E_245,E_245)
      | ~ n0(e,E_245)
      | l2(D_244,E_245) ),
    inference(demodulation,[status(thm),theory(equality)],[c_321821,c_338]) ).

tff(c_371566,plain,
    ! [D_244] :
      ( ~ n0(e,e)
      | l2(D_244,e) ),
    inference(resolution,[status(thm)],[c_371557,c_362663]) ).

tff(c_371569,plain,
    ! [D_244] : l2(D_244,e),
    inference(demodulation,[status(thm),theory(equality)],[c_60,c_371566]) ).

tff(c_32,plain,
    m0(c,b,a),
    inference(cnfTransformation,[status(thm)],[f_61]) ).

tff(c_371755,plain,
    ! [I_39411,J_39412,H_39413,A_39414] :
      ( ~ m0(I_39411,J_39412,H_39413)
      | ~ m0(J_39412,A_39414,A_39414)
      | n1(H_39413,H_39413,I_39411) ),
    inference(cnfTransformation,[status(thm)],[f_559]) ).

tff(c_371774,plain,
    ! [A_39414] :
      ( ~ m0(b,A_39414,A_39414)
      | n1(a,a,c) ),
    inference(resolution,[status(thm)],[c_32,c_371755]) ).

tff(c_371835,plain,
    ! [A_39414] : ~ m0(b,A_39414,A_39414),
    inference(splitLeft,[status(thm)],[c_371774]) ).

tff(c_76,plain,
    m0(b,a,a),
    inference(cnfTransformation,[status(thm)],[f_85]) ).

tff(c_371837,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_371835,c_76]) ).

tff(c_371838,plain,
    n1(a,a,c),
    inference(splitRight,[status(thm)],[c_371774]) ).

tff(c_590,plain,
    ! [C_470,B_469,D_471] :
      ( ~ q3(C_470,B_469)
      | ~ s2(B_469)
      | ~ n1(D_471,B_469,C_470)
      | q3(B_469,C_470) ),
    inference(cnfTransformation,[status(thm)],[f_2148]) ).

tff(c_371842,plain,
    ( ~ q3(c,a)
    | ~ s2(a)
    | q3(a,c) ),
    inference(resolution,[status(thm)],[c_371838,c_590]) ).

tff(c_374488,plain,
    ~ s2(a),
    inference(splitLeft,[status(thm)],[c_371842]) ).

tff(c_40,plain,
    l0(a),
    inference(cnfTransformation,[status(thm)],[f_67]) ).

tff(c_74,plain,
    n0(b,a),
    inference(cnfTransformation,[status(thm)],[f_84]) ).

tff(c_14406,plain,
    ! [H_2722,G_2723] :
      ( ~ n0(H_2722,G_2723)
      | l1(G_2723,G_2723) ),
    inference(cnfTransformation,[status(thm)],[f_96]) ).

tff(c_14424,plain,
    l1(a,a),
    inference(resolution,[status(thm)],[c_74,c_14406]) ).

tff(c_10,plain,
    s0(b),
    inference(cnfTransformation,[status(thm)],[f_48]) ).

tff(c_176,plain,
    ! [E_99,D_98] :
      ( ~ p0(b,E_99)
      | ~ l0(D_98)
      | ~ s0(b)
      | n1(D_98,E_99,D_98) ),
    inference(cnfTransformation,[status(thm)],[f_477]) ).

tff(c_788,plain,
    ! [D_98,E_99] :
      ( ~ l0(D_98)
      | ~ s0(b)
      | n1(D_98,E_99,D_98) ),
    inference(demodulation,[status(thm),theory(equality)],[c_28,c_176]) ).

tff(c_826,plain,
    ! [D_98,E_99] :
      ( ~ l0(D_98)
      | n1(D_98,E_99,D_98) ),
    inference(demodulation,[status(thm),theory(equality)],[c_10,c_788]) ).

tff(c_375524,plain,
    ! [E_39672,F_39673,G_39674] :
      ( ~ n1(E_39672,F_39673,E_39672)
      | ~ l1(G_39674,E_39672)
      | ~ l0(G_39674)
      | n1(E_39672,F_39673,F_39673) ),
    inference(cnfTransformation,[status(thm)],[f_521]) ).

tff(c_379717,plain,
    ! [G_39940,D_39941,E_39942] :
      ( ~ l1(G_39940,D_39941)
      | ~ l0(G_39940)
      | n1(D_39941,E_39942,E_39942)
      | ~ l0(D_39941) ),
    inference(resolution,[status(thm)],[c_826,c_375524]) ).

tff(c_379727,plain,
    ! [E_39942] :
      ( n1(a,E_39942,E_39942)
      | ~ l0(a) ),
    inference(resolution,[status(thm)],[c_14424,c_379717]) ).

tff(c_379761,plain,
    ! [E_39944] : n1(a,E_39944,E_39944),
    inference(demodulation,[status(thm),theory(equality)],[c_40,c_379727]) ).

tff(c_64,plain,
    k0(b),
    inference(cnfTransformation,[status(thm)],[f_79]) ).

tff(c_294384,plain,
    ! [X_2] : p1(X_2,X_2,X_2),
    inference(resolution,[status(thm)],[c_28,c_294377]) ).

tff(c_430,plain,
    ! [E_320,F_321] :
      ( ~ p1(E_320,E_320,E_320)
      | ~ k0(F_321)
      | q2(E_320,F_321,F_321) ),
    inference(cnfTransformation,[status(thm)],[f_1493]) ).

tff(c_345583,plain,
    ! [F_321,E_320] :
      ( ~ k0(F_321)
      | q2(E_320,F_321,F_321) ),
    inference(demodulation,[status(thm),theory(equality)],[c_294384,c_430]) ).

tff(c_378299,plain,
    ! [G_39850,H_39851,F_39852] :
      ( ~ q2(G_39850,H_39851,F_39852)
      | ~ n1(G_39850,F_39852,H_39851)
      | ~ p1(F_39852,F_39852,H_39851)
      | q2(F_39852,G_39850,F_39852) ),
    inference(cnfTransformation,[status(thm)],[f_1535]) ).

tff(c_378305,plain,
    ! [E_320,F_321] :
      ( ~ n1(E_320,F_321,F_321)
      | ~ p1(F_321,F_321,F_321)
      | q2(F_321,E_320,F_321)
      | ~ k0(F_321) ),
    inference(resolution,[status(thm)],[c_345583,c_378299]) ).

tff(c_379287,plain,
    ! [E_39916,F_39917] :
      ( ~ n1(E_39916,F_39917,F_39917)
      | q2(F_39917,E_39916,F_39917)
      | ~ k0(F_39917) ),
    inference(demodulation,[status(thm),theory(equality)],[c_294384,c_378305]) ).

tff(c_454,plain,
    ! [H_345] :
      ( ~ s1(b)
      | ~ q2(b,H_345,b)
      | s2(H_345) ),
    inference(cnfTransformation,[status(thm)],[f_1597]) ).

tff(c_324499,plain,
    ! [H_345] :
      ( ~ q2(b,H_345,b)
      | s2(H_345) ),
    inference(demodulation,[status(thm),theory(equality)],[c_321821,c_454]) ).

tff(c_379302,plain,
    ! [E_39916] :
      ( s2(E_39916)
      | ~ n1(E_39916,b,b)
      | ~ k0(b) ),
    inference(resolution,[status(thm)],[c_379287,c_324499]) ).

tff(c_379313,plain,
    ! [E_39916] :
      ( s2(E_39916)
      | ~ n1(E_39916,b,b) ),
    inference(demodulation,[status(thm),theory(equality)],[c_64,c_379302]) ).

tff(c_379765,plain,
    s2(a),
    inference(resolution,[status(thm)],[c_379761,c_379313]) ).

tff(c_379776,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_374488,c_379765]) ).

tff(c_379778,plain,
    s2(a),
    inference(splitRight,[status(thm)],[c_371842]) ).

tff(c_438,plain,
    ! [I_327] :
      ( ~ p1(I_327,I_327,I_327)
      | q2(I_327,I_327,I_327) ),
    inference(cnfTransformation,[status(thm)],[f_1524]) ).

tff(c_321863,plain,
    ! [I_327] : q2(I_327,I_327,I_327),
    inference(demodulation,[status(thm),theory(equality)],[c_294384,c_438]) ).

tff(c_381915,plain,
    ! [A_40063,B_40064,J_40065,I_40066] :
      ( ~ m0(A_40063,B_40064,J_40065)
      | ~ s2(I_40066)
      | ~ q2(A_40063,I_40066,A_40063)
      | s3(I_40066,J_40065) ),
    inference(cnfTransformation,[status(thm)],[f_2297]) ).

tff(c_382739,plain,
    ! [I_40124] :
      ( ~ s2(I_40124)
      | ~ q2(a,I_40124,a)
      | s3(I_40124,e) ),
    inference(resolution,[status(thm)],[c_46,c_381915]) ).

tff(c_382751,plain,
    ( ~ s2(a)
    | s3(a,e) ),
    inference(resolution,[status(thm)],[c_321863,c_382739]) ).

tff(c_382764,plain,
    s3(a,e),
    inference(demodulation,[status(thm),theory(equality)],[c_379778,c_382751]) ).

tff(c_634,plain,
    ! [E_520,G_522,F_521] :
      ( ~ s3(a,E_520)
      | ~ l2(G_522,F_521)
      | m4(E_520,F_521) ),
    inference(cnfTransformation,[status(thm)],[f_2350]) ).

tff(c_382810,plain,
    ! [G_40130,F_40131] :
      ( ~ l2(G_40130,F_40131)
      | m4(e,F_40131) ),
    inference(resolution,[status(thm)],[c_382764,c_634]) ).

tff(c_382812,plain,
    m4(e,e),
    inference(resolution,[status(thm)],[c_371569,c_382810]) ).

tff(c_382820,plain,
    $false,
    inference(negUnitSimplification,[status(thm)],[c_321910,c_382812]) ).

tff(c_382824,plain,
    ! [B_40134] :
      ( ~ s4(B_40134)
      | m5(B_40134,B_40134) ),
    inference(splitRight,[status(thm)],[c_686]) ).

tff(c_738,plain,
    ~ m5(d,d),
    inference(cnfTransformation,[status(thm)],[f_2764]) ).

tff(c_382828,plain,
    ~ s4(d),
    inference(resolution,[status(thm)],[c_382824,c_738]) ).

tff(c_68,plain,
    n0(c,d),
    inference(cnfTransformation,[status(thm)],[f_81]) ).

tff(c_14430,plain,
    l1(d,d),
    inference(resolution,[status(thm)],[c_68,c_14406]) ).

tff(c_383875,plain,
    ! [A_40320,C_40321,B_40322,D_40323] :
      ( ~ l1(A_40320,C_40321)
      | ~ p3(B_40322,C_40321,D_40323)
      | s4(A_40320) ),
    inference(cnfTransformation,[status(thm)],[f_2522]) ).

tff(c_383879,plain,
    ! [B_40322,D_40323] :
      ( ~ p3(B_40322,d,D_40323)
      | s4(d) ),
    inference(resolution,[status(thm)],[c_14430,c_383875]) ).

tff(c_383894,plain,
    ! [B_40324,D_40325] : ~ p3(B_40324,d,D_40325),
    inference(negUnitSimplification,[status(thm)],[c_382828,c_383879]) ).

tff(c_383899,plain,
    $false,
    inference(resolution,[status(thm)],[c_294410,c_383894]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN143-1 : TPTP v8.1.2. Released v1.1.0.
% 0.00/0.13  % 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
% 0.13/0.34  % Computer : n019.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
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug  3 17:35:31 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 93.13/78.05  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 93.13/78.07  
% 93.13/78.07  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 93.13/78.16  
% 93.13/78.16  Inference rules
% 93.13/78.16  ----------------------
% 93.13/78.16  #Ref     : 0
% 93.13/78.16  #Sup     : 68924
% 93.13/78.16  #Fact    : 0
% 93.13/78.16  #Define  : 0
% 93.13/78.16  #Split   : 6031
% 93.13/78.16  #Chain   : 0
% 93.13/78.16  #Close   : 0
% 93.13/78.16  
% 93.13/78.16  Ordering : KBO
% 93.13/78.16  
% 93.13/78.16  Simplification rules
% 93.13/78.16  ----------------------
% 93.13/78.16  #Subsume      : 22469
% 93.13/78.16  #Demod        : 69005
% 93.13/78.16  #Tautology    : 40398
% 93.13/78.16  #SimpNegUnit  : 5094
% 93.13/78.16  #BackRed      : 5334
% 93.13/78.16  
% 93.13/78.16  #Partial instantiations: 0
% 93.13/78.16  #Strategies tried      : 1
% 93.13/78.16  
% 93.13/78.16  Timing (in seconds)
% 93.13/78.16  ----------------------
% 93.13/78.16  Preprocessing        : 1.08
% 93.13/78.16  Parsing              : 0.58
% 93.13/78.16  CNF conversion       : 0.09
% 93.13/78.16  Main loop            : 75.95
% 93.13/78.16  Inferencing          : 21.58
% 93.13/78.16  Reduction            : 32.11
% 93.13/78.16  Demodulation         : 22.72
% 93.13/78.16  BG Simplification    : 0.31
% 93.13/78.16  Subsumption          : 16.77
% 93.13/78.16  Abstraction          : 0.63
% 93.13/78.16  MUC search           : 0.00
% 93.13/78.16  Cooper               : 0.00
% 93.13/78.16  Total                : 77.15
% 93.13/78.16  Index Insertion      : 0.00
% 93.13/78.16  Index Deletion       : 0.00
% 93.13/78.16  Index Matching       : 0.00
% 93.13/78.16  BG Taut test         : 0.00
%------------------------------------------------------------------------------