TSTP Solution File: SYN252-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SYN252-1 : TPTP v8.1.0. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n013.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 : Thu Jul 21 09:00:45 EDT 2022

% Result   : Unsatisfiable 0.19s 0.57s
% Output   : CNFRefutation 0.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   27
% Syntax   : Number of clauses     :  128 (  60 unt;   0 nHn;  65 RR)
%            Number of literals    :  239 (   0 equ; 113 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   18 (  17 usr;   1 prp; 0-3 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :  164 (  83 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(axiom_5,axiom,
    s0(b) ).

cnf(axiom_9,axiom,
    r0(b) ).

cnf(axiom_12,axiom,
    m0(a,X,a) ).

cnf(axiom_14,axiom,
    p0(b,X) ).

cnf(axiom_17,axiom,
    q0(X,d) ).

cnf(axiom_19,axiom,
    m0(X,d,Y) ).

cnf(axiom_20,axiom,
    l0(a) ).

cnf(axiom_32,axiom,
    k0(b) ).

cnf(axiom_36,axiom,
    q0(a,b) ).

cnf(axiom_37,axiom,
    n0(b,a) ).

cnf(rule_002,axiom,
    ( l1(G,G)
    | ~ n0(H,G) ) ).

cnf(rule_003,axiom,
    ( l1(C,D)
    | ~ p0(E,C)
    | ~ r0(F)
    | ~ m0(D,C,E) ) ).

cnf(rule_050,axiom,
    ( n1(D,E,D)
    | ~ s0(b)
    | ~ l0(D)
    | ~ p0(b,E) ) ).

cnf(rule_054,axiom,
    ( n1(E,F,F)
    | ~ l0(G)
    | ~ l1(G,E)
    | ~ n1(E,F,E) ) ).

cnf(rule_075,axiom,
    ( p1(a,a,a)
    | ~ p0(b,a) ) ).

cnf(rule_082,axiom,
    ( p1(H,I,J)
    | ~ m0(J,H,A)
    | ~ p1(J,H,A) ) ).

cnf(rule_085,axiom,
    ( p1(B,B,B)
    | ~ p0(C,B) ) ).

cnf(rule_125,axiom,
    ( s1(I)
    | ~ p0(I,I) ) ).

cnf(rule_126,axiom,
    ( s1(F)
    | ~ q0(F,G)
    | ~ s1(H) ) ).

cnf(rule_133,axiom,
    ( l2(J,J)
    | ~ p0(A,A)
    | ~ s1(B)
    | ~ m0(C,B,J) ) ).

cnf(rule_177,axiom,
    ( q2(E,F,F)
    | ~ k0(F)
    | ~ p1(E,E,E) ) ).

cnf(rule_182,axiom,
    ( q2(F,G,F)
    | ~ p1(F,F,H)
    | ~ n1(G,F,H)
    | ~ q2(G,H,F) ) ).

cnf(rule_186,axiom,
    ( q2(G,G,H)
    | ~ l1(H,G) ) ).

cnf(rule_189,axiom,
    ( s2(H)
    | ~ q2(b,H,b)
    | ~ s1(b) ) ).

cnf(rule_273,axiom,
    ( s3(I,J)
    | ~ q2(A,I,A)
    | ~ s2(I)
    | ~ m0(A,B,J) ) ).

cnf(rule_279,axiom,
    ( m4(E,F)
    | ~ l2(G,F)
    | ~ s3(a,E) ) ).

cnf(prove_this,negated_conjecture,
    ~ m4(X,d) ).

cnf(refute_0_0,plain,
    ~ m4(X_892,d),
    inference(subst,[],[prove_this:[bind(X,$fot(X_892))]]) ).

cnf(refute_0_1,plain,
    ( ~ l2(X_775,X_775)
    | ~ s3(a,E)
    | m4(E,X_775) ),
    inference(subst,[],[rule_279:[bind(F,$fot(X_775)),bind(G,$fot(X_775))]]) ).

cnf(refute_0_2,plain,
    p0(b,b),
    inference(subst,[],[axiom_14:[bind(X,$fot(b))]]) ).

cnf(refute_0_3,plain,
    m0(X_765,d,X_766),
    inference(subst,[],[axiom_19:[bind(X,$fot(X_765)),bind(Y,$fot(X_766))]]) ).

cnf(refute_0_4,plain,
    ( ~ p0(b,b)
    | s1(b) ),
    inference(subst,[],[rule_125:[bind(I,$fot(b))]]) ).

cnf(refute_0_5,plain,
    s1(b),
    inference(resolve,[$cnf( p0(b,b) )],[refute_0_2,refute_0_4]) ).

cnf(refute_0_6,plain,
    ( ~ q0(a,b)
    | ~ s1(X_214)
    | s1(a) ),
    inference(subst,[],[rule_126:[bind(F,$fot(a)),bind(G,$fot(b)),bind(H,$fot(X_214))]]) ).

cnf(refute_0_7,plain,
    ( ~ s1(X_214)
    | s1(a) ),
    inference(resolve,[$cnf( q0(a,b) )],[axiom_36,refute_0_6]) ).

cnf(refute_0_8,plain,
    ( ~ s1(b)
    | s1(a) ),
    inference(subst,[],[refute_0_7:[bind(X_214,$fot(b))]]) ).

cnf(refute_0_9,plain,
    s1(a),
    inference(resolve,[$cnf( s1(b) )],[refute_0_5,refute_0_8]) ).

cnf(refute_0_10,plain,
    q0(X_212,d),
    inference(subst,[],[axiom_17:[bind(X,$fot(X_212))]]) ).

cnf(refute_0_11,plain,
    ( ~ q0(X_212,d)
    | ~ s1(X_214)
    | s1(X_212) ),
    inference(subst,[],[rule_126:[bind(F,$fot(X_212)),bind(G,$fot(d)),bind(H,$fot(X_214))]]) ).

cnf(refute_0_12,plain,
    ( ~ s1(X_214)
    | s1(X_212) ),
    inference(resolve,[$cnf( q0(X_212,d) )],[refute_0_10,refute_0_11]) ).

cnf(refute_0_13,plain,
    ( ~ s1(a)
    | s1(X_218) ),
    inference(subst,[],[refute_0_12:[bind(X_212,$fot(X_218)),bind(X_214,$fot(a))]]) ).

cnf(refute_0_14,plain,
    s1(X_218),
    inference(resolve,[$cnf( s1(a) )],[refute_0_9,refute_0_13]) ).

cnf(refute_0_15,plain,
    s1(B),
    inference(subst,[],[refute_0_14:[bind(X_218,$fot(B))]]) ).

cnf(refute_0_16,plain,
    ( ~ m0(C,B,J)
    | ~ p0(A,A)
    | l2(J,J) ),
    inference(resolve,[$cnf( s1(B) )],[refute_0_15,rule_133]) ).

cnf(refute_0_17,plain,
    ( ~ m0(X_765,d,X_766)
    | ~ p0(X_763,X_763)
    | l2(X_766,X_766) ),
    inference(subst,[],[refute_0_16:[bind(A,$fot(X_763)),bind(B,$fot(d)),bind(C,$fot(X_765)),bind(J,$fot(X_766))]]) ).

cnf(refute_0_18,plain,
    ( ~ p0(X_763,X_763)
    | l2(X_766,X_766) ),
    inference(resolve,[$cnf( m0(X_765,d,X_766) )],[refute_0_3,refute_0_17]) ).

cnf(refute_0_19,plain,
    ( ~ p0(b,b)
    | l2(X_774,X_774) ),
    inference(subst,[],[refute_0_18:[bind(X_763,$fot(b)),bind(X_766,$fot(X_774))]]) ).

cnf(refute_0_20,plain,
    l2(X_774,X_774),
    inference(resolve,[$cnf( p0(b,b) )],[refute_0_2,refute_0_19]) ).

cnf(refute_0_21,plain,
    l2(X_775,X_775),
    inference(subst,[],[refute_0_20:[bind(X_774,$fot(X_775))]]) ).

cnf(refute_0_22,plain,
    ( ~ s3(a,E)
    | m4(E,X_775) ),
    inference(resolve,[$cnf( l2(X_775,X_775) )],[refute_0_21,refute_0_1]) ).

cnf(refute_0_23,plain,
    ( ~ s3(a,X_890)
    | m4(X_890,X_775) ),
    inference(subst,[],[refute_0_22:[bind(E,$fot(X_890))]]) ).

cnf(refute_0_24,plain,
    m0(d,d,X_889),
    inference(subst,[],[axiom_19:[bind(X,$fot(d)),bind(Y,$fot(X_889))]]) ).

cnf(refute_0_25,plain,
    p0(b,E),
    inference(subst,[],[axiom_14:[bind(X,$fot(E))]]) ).

cnf(refute_0_26,plain,
    ( ~ l0(D)
    | ~ s0(b)
    | n1(D,E,D) ),
    inference(resolve,[$cnf( p0(b,E) )],[refute_0_25,rule_050]) ).

cnf(refute_0_27,plain,
    ( ~ l0(D)
    | n1(D,E,D) ),
    inference(resolve,[$cnf( s0(b) )],[axiom_5,refute_0_26]) ).

cnf(refute_0_28,plain,
    ( ~ l0(a)
    | n1(a,X_54,a) ),
    inference(subst,[],[refute_0_27:[bind(D,$fot(a)),bind(E,$fot(X_54))]]) ).

cnf(refute_0_29,plain,
    n1(a,X_54,a),
    inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_28]) ).

cnf(refute_0_30,plain,
    n1(a,d,a),
    inference(subst,[],[refute_0_29:[bind(X_54,$fot(d))]]) ).

cnf(refute_0_31,plain,
    ( ~ l1(d,X_721)
    | q2(X_721,X_721,d) ),
    inference(subst,[],[rule_186:[bind(G,$fot(X_721)),bind(H,$fot(d))]]) ).

cnf(refute_0_32,plain,
    p0(b,d),
    inference(subst,[],[axiom_14:[bind(X,$fot(d))]]) ).

cnf(refute_0_33,plain,
    m0(X_704,d,X_705),
    inference(subst,[],[axiom_19:[bind(X,$fot(X_704)),bind(Y,$fot(X_705))]]) ).

cnf(refute_0_34,plain,
    ( ~ m0(X_704,d,X_705)
    | ~ p0(X_705,d)
    | ~ r0(X_706)
    | l1(d,X_704) ),
    inference(subst,[],[rule_003:[bind(C,$fot(d)),bind(D,$fot(X_704)),bind(E,$fot(X_705)),bind(F,$fot(X_706))]]) ).

cnf(refute_0_35,plain,
    ( ~ p0(X_705,d)
    | ~ r0(X_706)
    | l1(d,X_704) ),
    inference(resolve,[$cnf( m0(X_704,d,X_705) )],[refute_0_33,refute_0_34]) ).

cnf(refute_0_36,plain,
    ( ~ p0(b,d)
    | ~ r0(X_718)
    | l1(d,X_716) ),
    inference(subst,[],[refute_0_35:[bind(X_704,$fot(X_716)),bind(X_705,$fot(b)),bind(X_706,$fot(X_718))]]) ).

cnf(refute_0_37,plain,
    ( ~ r0(X_718)
    | l1(d,X_716) ),
    inference(resolve,[$cnf( p0(b,d) )],[refute_0_32,refute_0_36]) ).

cnf(refute_0_38,plain,
    ( ~ r0(b)
    | l1(d,X_719) ),
    inference(subst,[],[refute_0_37:[bind(X_716,$fot(X_719)),bind(X_718,$fot(b))]]) ).

cnf(refute_0_39,plain,
    l1(d,X_719),
    inference(resolve,[$cnf( r0(b) )],[axiom_9,refute_0_38]) ).

cnf(refute_0_40,plain,
    l1(d,X_721),
    inference(subst,[],[refute_0_39:[bind(X_719,$fot(X_721))]]) ).

cnf(refute_0_41,plain,
    q2(X_721,X_721,d),
    inference(resolve,[$cnf( l1(d,X_721) )],[refute_0_40,refute_0_31]) ).

cnf(refute_0_42,plain,
    q2(X_831,X_831,d),
    inference(subst,[],[refute_0_41:[bind(X_721,$fot(X_831))]]) ).

cnf(refute_0_43,plain,
    ( ~ n1(X_831,d,X_831)
    | ~ p1(d,d,X_831)
    | ~ q2(X_831,X_831,d)
    | q2(d,X_831,d) ),
    inference(subst,[],[rule_182:[bind(F,$fot(d)),bind(G,$fot(X_831)),bind(H,$fot(X_831))]]) ).

cnf(refute_0_44,plain,
    ( ~ n1(X_831,d,X_831)
    | ~ p1(d,d,X_831)
    | q2(d,X_831,d) ),
    inference(resolve,[$cnf( q2(X_831,X_831,d) )],[refute_0_42,refute_0_43]) ).

cnf(refute_0_45,plain,
    m0(X_531,d,a),
    inference(subst,[],[axiom_19:[bind(X,$fot(X_531)),bind(Y,$fot(a))]]) ).

cnf(refute_0_46,plain,
    ( ~ m0(X_506,X_505,a)
    | ~ p1(X_506,X_505,a)
    | p1(X_505,I,X_506) ),
    inference(subst,[],[rule_082:[bind(A,$fot(a)),bind(H,$fot(X_505)),bind(J,$fot(X_506))]]) ).

cnf(refute_0_47,plain,
    ( ~ m0(a,X_503,a)
    | ~ p1(a,X_503,a)
    | p1(X_503,I,a) ),
    inference(subst,[],[rule_082:[bind(A,$fot(a)),bind(H,$fot(X_503)),bind(J,$fot(a))]]) ).

cnf(refute_0_48,plain,
    p0(b,a),
    inference(subst,[],[axiom_14:[bind(X,$fot(a))]]) ).

cnf(refute_0_49,plain,
    p1(a,a,a),
    inference(resolve,[$cnf( p0(b,a) )],[refute_0_48,rule_075]) ).

cnf(refute_0_50,plain,
    ( ~ m0(a,a,a)
    | ~ p1(a,a,a)
    | p1(a,X_499,a) ),
    inference(subst,[],[rule_082:[bind(A,$fot(a)),bind(H,$fot(a)),bind(I,$fot(X_499)),bind(J,$fot(a))]]) ).

cnf(refute_0_51,plain,
    ( ~ m0(a,a,a)
    | p1(a,X_499,a) ),
    inference(resolve,[$cnf( p1(a,a,a) )],[refute_0_49,refute_0_50]) ).

cnf(refute_0_52,plain,
    m0(a,a,a),
    inference(subst,[],[axiom_12:[bind(X,$fot(a))]]) ).

cnf(refute_0_53,plain,
    p1(a,X_499,a),
    inference(resolve,[$cnf( m0(a,a,a) )],[refute_0_52,refute_0_51]) ).

cnf(refute_0_54,plain,
    p1(a,X_503,a),
    inference(subst,[],[refute_0_53:[bind(X_499,$fot(X_503))]]) ).

cnf(refute_0_55,plain,
    ( ~ m0(a,X_503,a)
    | p1(X_503,I,a) ),
    inference(resolve,[$cnf( p1(a,X_503,a) )],[refute_0_54,refute_0_47]) ).

cnf(refute_0_56,plain,
    m0(a,X_503,a),
    inference(subst,[],[axiom_12:[bind(X,$fot(X_503))]]) ).

cnf(refute_0_57,plain,
    p1(X_503,I,a),
    inference(resolve,[$cnf( m0(a,X_503,a) )],[refute_0_56,refute_0_55]) ).

cnf(refute_0_58,plain,
    p1(X_506,X_505,a),
    inference(subst,[],[refute_0_57:[bind(I,$fot(X_505)),bind(X_503,$fot(X_506))]]) ).

cnf(refute_0_59,plain,
    ( ~ m0(X_506,X_505,a)
    | p1(X_505,I,X_506) ),
    inference(resolve,[$cnf( p1(X_506,X_505,a) )],[refute_0_58,refute_0_46]) ).

cnf(refute_0_60,plain,
    ( ~ m0(X_531,d,a)
    | p1(d,X_529,X_531) ),
    inference(subst,[],[refute_0_59:[bind(I,$fot(X_529)),bind(X_505,$fot(d)),bind(X_506,$fot(X_531))]]) ).

cnf(refute_0_61,plain,
    p1(d,X_529,X_531),
    inference(resolve,[$cnf( m0(X_531,d,a) )],[refute_0_45,refute_0_60]) ).

cnf(refute_0_62,plain,
    p1(d,d,X_831),
    inference(subst,[],[refute_0_61:[bind(X_529,$fot(d)),bind(X_531,$fot(X_831))]]) ).

cnf(refute_0_63,plain,
    ( ~ n1(X_831,d,X_831)
    | q2(d,X_831,d) ),
    inference(resolve,[$cnf( p1(d,d,X_831) )],[refute_0_62,refute_0_44]) ).

cnf(refute_0_64,plain,
    ( ~ n1(a,d,a)
    | q2(d,a,d) ),
    inference(subst,[],[refute_0_63:[bind(X_831,$fot(a))]]) ).

cnf(refute_0_65,plain,
    q2(d,a,d),
    inference(resolve,[$cnf( n1(a,d,a) )],[refute_0_30,refute_0_64]) ).

cnf(refute_0_66,plain,
    ( ~ m0(d,X_882,X_884)
    | ~ q2(d,a,d)
    | ~ s2(a)
    | s3(a,X_884) ),
    inference(subst,[],[rule_273:[bind(A,$fot(d)),bind(B,$fot(X_882)),bind(I,$fot(a)),bind(J,$fot(X_884))]]) ).

cnf(refute_0_67,plain,
    ( ~ m0(d,X_882,X_884)
    | ~ s2(a)
    | s3(a,X_884) ),
    inference(resolve,[$cnf( q2(d,a,d) )],[refute_0_65,refute_0_66]) ).

cnf(refute_0_68,plain,
    ( ~ q2(b,H,b)
    | s2(H) ),
    inference(resolve,[$cnf( s1(b) )],[refute_0_5,rule_189]) ).

cnf(refute_0_69,plain,
    ( ~ q2(b,a,b)
    | s2(a) ),
    inference(subst,[],[refute_0_68:[bind(H,$fot(a))]]) ).

cnf(refute_0_70,plain,
    ( ~ n0(b,a)
    | l1(a,a) ),
    inference(subst,[],[rule_002:[bind(G,$fot(a)),bind(H,$fot(b))]]) ).

cnf(refute_0_71,plain,
    l1(a,a),
    inference(resolve,[$cnf( n0(b,a) )],[axiom_37,refute_0_70]) ).

cnf(refute_0_72,plain,
    n1(a,X_645,a),
    inference(subst,[],[refute_0_29:[bind(X_54,$fot(X_645))]]) ).

cnf(refute_0_73,plain,
    ( ~ l0(X_646)
    | ~ l1(X_646,a)
    | ~ n1(a,X_645,a)
    | n1(a,X_645,X_645) ),
    inference(subst,[],[rule_054:[bind(E,$fot(a)),bind(F,$fot(X_645)),bind(G,$fot(X_646))]]) ).

cnf(refute_0_74,plain,
    ( ~ l0(X_646)
    | ~ l1(X_646,a)
    | n1(a,X_645,X_645) ),
    inference(resolve,[$cnf( n1(a,X_645,a) )],[refute_0_72,refute_0_73]) ).

cnf(refute_0_75,plain,
    ( ~ l0(a)
    | ~ l1(a,a)
    | n1(a,X_652,X_652) ),
    inference(subst,[],[refute_0_74:[bind(X_645,$fot(X_652)),bind(X_646,$fot(a))]]) ).

cnf(refute_0_76,plain,
    ( ~ l0(a)
    | n1(a,X_652,X_652) ),
    inference(resolve,[$cnf( l1(a,a) )],[refute_0_71,refute_0_75]) ).

cnf(refute_0_77,plain,
    n1(a,X_652,X_652),
    inference(resolve,[$cnf( l0(a) )],[axiom_20,refute_0_76]) ).

cnf(refute_0_78,plain,
    n1(a,b,b),
    inference(subst,[],[refute_0_77:[bind(X_652,$fot(b))]]) ).

cnf(refute_0_79,plain,
    p0(b,X_71),
    inference(subst,[],[axiom_14:[bind(X,$fot(X_71))]]) ).

cnf(refute_0_80,plain,
    ( ~ p0(b,X_71)
    | p1(X_71,X_71,X_71) ),
    inference(subst,[],[rule_085:[bind(B,$fot(X_71)),bind(C,$fot(b))]]) ).

cnf(refute_0_81,plain,
    p1(X_71,X_71,X_71),
    inference(resolve,[$cnf( p0(b,X_71) )],[refute_0_79,refute_0_80]) ).

cnf(refute_0_82,plain,
    p1(E,E,E),
    inference(subst,[],[refute_0_81:[bind(X_71,$fot(E))]]) ).

cnf(refute_0_83,plain,
    ( ~ k0(F)
    | q2(E,F,F) ),
    inference(resolve,[$cnf( p1(E,E,E) )],[refute_0_82,rule_177]) ).

cnf(refute_0_84,plain,
    ( ~ k0(b)
    | q2(X_231,b,b) ),
    inference(subst,[],[refute_0_83:[bind(E,$fot(X_231)),bind(F,$fot(b))]]) ).

cnf(refute_0_85,plain,
    q2(X_231,b,b),
    inference(resolve,[$cnf( k0(b) )],[axiom_32,refute_0_84]) ).

cnf(refute_0_86,plain,
    q2(X_830,b,b),
    inference(subst,[],[refute_0_85:[bind(X_231,$fot(X_830))]]) ).

cnf(refute_0_87,plain,
    ( ~ n1(X_830,b,b)
    | ~ p1(b,b,b)
    | ~ q2(X_830,b,b)
    | q2(b,X_830,b) ),
    inference(subst,[],[rule_182:[bind(F,$fot(b)),bind(G,$fot(X_830)),bind(H,$fot(b))]]) ).

cnf(refute_0_88,plain,
    ( ~ n1(X_830,b,b)
    | ~ p1(b,b,b)
    | q2(b,X_830,b) ),
    inference(resolve,[$cnf( q2(X_830,b,b) )],[refute_0_86,refute_0_87]) ).

cnf(refute_0_89,plain,
    p1(b,b,b),
    inference(subst,[],[refute_0_81:[bind(X_71,$fot(b))]]) ).

cnf(refute_0_90,plain,
    ( ~ n1(X_830,b,b)
    | q2(b,X_830,b) ),
    inference(resolve,[$cnf( p1(b,b,b) )],[refute_0_89,refute_0_88]) ).

cnf(refute_0_91,plain,
    ( ~ n1(a,b,b)
    | q2(b,a,b) ),
    inference(subst,[],[refute_0_90:[bind(X_830,$fot(a))]]) ).

cnf(refute_0_92,plain,
    q2(b,a,b),
    inference(resolve,[$cnf( n1(a,b,b) )],[refute_0_78,refute_0_91]) ).

cnf(refute_0_93,plain,
    s2(a),
    inference(resolve,[$cnf( q2(b,a,b) )],[refute_0_92,refute_0_69]) ).

cnf(refute_0_94,plain,
    ( ~ m0(d,X_882,X_884)
    | s3(a,X_884) ),
    inference(resolve,[$cnf( s2(a) )],[refute_0_93,refute_0_67]) ).

cnf(refute_0_95,plain,
    ( ~ m0(d,d,X_889)
    | s3(a,X_889) ),
    inference(subst,[],[refute_0_94:[bind(X_882,$fot(d)),bind(X_884,$fot(X_889))]]) ).

cnf(refute_0_96,plain,
    s3(a,X_889),
    inference(resolve,[$cnf( m0(d,d,X_889) )],[refute_0_24,refute_0_95]) ).

cnf(refute_0_97,plain,
    s3(a,X_890),
    inference(subst,[],[refute_0_96:[bind(X_889,$fot(X_890))]]) ).

cnf(refute_0_98,plain,
    m4(X_890,X_775),
    inference(resolve,[$cnf( s3(a,X_890) )],[refute_0_97,refute_0_23]) ).

cnf(refute_0_99,plain,
    m4(X_892,d),
    inference(subst,[],[refute_0_98:[bind(X_775,$fot(d)),bind(X_890,$fot(X_892))]]) ).

cnf(refute_0_100,plain,
    $false,
    inference(resolve,[$cnf( m4(X_892,d) )],[refute_0_99,refute_0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SYN252-1 : TPTP v8.1.0. Released v1.1.0.
% 0.12/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.34  % Computer : n013.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 Jul 12 07:47:30 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.57  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.57  
% 0.19/0.57  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.42/0.58  
%------------------------------------------------------------------------------