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FindProof---0.1.UNS-Prf.s

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%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SYN213-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n005.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:34:05 PM UTC 2026

% Result   : Unsatisfiable 5.06s 1.14s
% Output   : Proof 5.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   26
% Syntax   : Number of formulae    :  143 (  79 unt;   0 def)
%            Number of atoms       :  259 (  45 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  238 ( 122   ~; 116   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   23 (  21 usr;   1 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   5 con; 0-4 aty)
%            Number of variables   :  191 (  55 sgn  76   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(f162,axiom,
    ( ~ p0(I,I)
    | s1(I) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_125) ).

fof(f162_nnf,plain,
    ! [I] :
      ( ~ p0(I,I)
      | s1(I) ),
    inference(nnf_transformation,[status(thm)],[f162]) ).

fof(f162_sk,plain,
    ! [I] :
      ( ~ p0(I,I)
      | s1(I) ),
    inference(skolemisation,[status(esa)],[f162_nnf]) ).

cnf(c162,plain,
    ( ~ p0(X0,X0)
    | s1(X0) ),
    inference(cnf_transformation,[status(esa)],[f162_sk]) ).

cnf(hi160,axiom,
    ifeq(p0(X0,X0),true,s1(X0),true) = true,
    inference(equality_encoding,[status(esa)],[c162]) ).

cnf(f13,axiom,
    p0(b,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

fof(f13_nnf,plain,
    ! [X] : p0(b,X),
    inference(nnf_transformation,[status(thm)],[f13]) ).

fof(f13_sk,plain,
    ! [X] : p0(b,X),
    inference(skolemisation,[status(esa)],[f13_nnf]) ).

cnf(c13,plain,
    p0(b,X0),
    inference(cnf_transformation,[status(esa)],[f13_sk]) ).

cnf(hi13,axiom,
    p0(b,X0) = true,
    inference(equality_encoding,[status(esa)],[c13]) ).

cnf(h26,plain,
    s1(b) = true,
    inference(hyper_resolution,[status(thm)],[hi160,hi13]) ).

cnf(f170,axiom,
    ( ~ m0(C,B,J)
    | ~ s1(B)
    | ~ p0(A,A)
    | l2(J,J) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_133) ).

fof(f170_nnf,plain,
    ! [J,A,B,C] :
      ( ~ m0(C,B,J)
      | ~ s1(B)
      | ~ p0(A,A)
      | l2(J,J) ),
    inference(nnf_transformation,[status(thm)],[f170]) ).

fof(f170_sk,plain,
    ! [J,A,B,C] :
      ( ~ m0(C,B,J)
      | ~ s1(B)
      | ~ p0(A,A)
      | l2(J,J) ),
    inference(skolemisation,[status(esa)],[f170_nnf]) ).

cnf(c170,plain,
    ( ~ m0(X3,X2,X0)
    | ~ s1(X2)
    | ~ p0(X1,X1)
    | l2(X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f170_sk]) ).

cnf(hi167,axiom,
    ifeq(p0(X0,X0),true,ifeq(s1(X1),true,ifeq(m0(X2,X1,X3),true,l2(X3,X3),true),true),true) = true,
    inference(equality_encoding,[status(esa)],[c170]) ).

cnf(f30,axiom,
    m0(b,b,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_31) ).

fof(f30_nnf,plain,
    m0(b,b,e),
    inference(nnf_transformation,[status(thm)],[f30]) ).

cnf(c30,plain,
    m0(b,b,e),
    inference(cnf_transformation,[status(esa)],[f30_nnf]) ).

cnf(hi30,axiom,
    m0(b,b,e) = true,
    inference(equality_encoding,[status(esa)],[c30]) ).

cnf(h112,plain,
    l2(e,e) = true,
    inference(hyper_resolution,[status(thm)],[hi167,hi13,h26,hi30]) ).

cnf(f163,axiom,
    ( ~ s1(H)
    | ~ q0(F,G)
    | s1(F) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_126) ).

fof(f163_nnf,plain,
    ! [F,G,H] :
      ( ~ s1(H)
      | ~ q0(F,G)
      | s1(F) ),
    inference(nnf_transformation,[status(thm)],[f163]) ).

fof(f163_sk,plain,
    ! [F,G,H] :
      ( ~ s1(H)
      | ~ q0(F,G)
      | s1(F) ),
    inference(skolemisation,[status(esa)],[f163_nnf]) ).

cnf(c163,plain,
    ( ~ s1(X2)
    | ~ q0(X0,X1)
    | s1(X0) ),
    inference(cnf_transformation,[status(esa)],[f163_sk]) ).

cnf(hi161,axiom,
    ifeq(q0(X0,X1),true,ifeq(s1(X2),true,s1(X0),true),true) = true,
    inference(equality_encoding,[status(esa)],[c163]) ).

cnf(f1,axiom,
    q0(e,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_2) ).

fof(f1_nnf,plain,
    q0(e,d),
    inference(nnf_transformation,[status(thm)],[f1]) ).

cnf(c1,plain,
    q0(e,d),
    inference(cnf_transformation,[status(esa)],[f1_nnf]) ).

cnf(hi1,axiom,
    q0(e,d) = true,
    inference(equality_encoding,[status(esa)],[c1]) ).

cnf(h118,plain,
    s1(e) = true,
    inference(hyper_resolution,[status(thm)],[hi161,hi1,h26]) ).

cnf(f143,axiom,
    ( ~ s0(B)
    | q1(B,B,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_106) ).

fof(f143_nnf,plain,
    ! [B] :
      ( ~ s0(B)
      | q1(B,B,B) ),
    inference(nnf_transformation,[status(thm)],[f143]) ).

fof(f143_sk,plain,
    ! [B] :
      ( ~ s0(B)
      | q1(B,B,B) ),
    inference(skolemisation,[status(esa)],[f143_nnf]) ).

cnf(c143,plain,
    ( ~ s0(X0)
    | q1(X0,X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f143_sk]) ).

cnf(hi141,axiom,
    ifeq(s0(X0),true,q1(X0,X0,X0),true) = true,
    inference(equality_encoding,[status(esa)],[c143]) ).

cnf(f0,axiom,
    s0(d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f0_nnf,plain,
    s0(d),
    inference(nnf_transformation,[status(thm)],[f0]) ).

cnf(c0,plain,
    s0(d),
    inference(cnf_transformation,[status(esa)],[f0_nnf]) ).

cnf(hi0,axiom,
    s0(d) = true,
    inference(equality_encoding,[status(esa)],[c0]) ).

cnf(h0,plain,
    q1(d,d,d) = true,
    inference(hyper_resolution,[status(thm)],[hi141,hi0]) ).

cnf(f161,axiom,
    ( ~ q1(d,E,d)
    | ~ s0(d)
    | ~ q0(D,E)
    | r1(D) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_124) ).

fof(f161_nnf,plain,
    ! [D,E] :
      ( ~ q1(d,E,d)
      | ~ s0(d)
      | ~ q0(D,E)
      | r1(D) ),
    inference(nnf_transformation,[status(thm)],[f161]) ).

fof(f161_sk,plain,
    ! [D,E] :
      ( ~ q1(d,E,d)
      | ~ s0(d)
      | ~ q0(D,E)
      | r1(D) ),
    inference(skolemisation,[status(esa)],[f161_nnf]) ).

cnf(c161,plain,
    ( ~ q1(d,X1,d)
    | ~ s0(d)
    | ~ q0(X0,X1)
    | r1(X0) ),
    inference(cnf_transformation,[status(esa)],[f161_sk]) ).

cnf(hi159,axiom,
    ifeq(q0(X0,X1),true,ifeq(s0(d),true,ifeq(q1(d,X1,d),true,r1(X0),true),true),true) = true,
    inference(equality_encoding,[status(esa)],[c161]) ).

cnf(f16,axiom,
    q0(X,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_17) ).

fof(f16_nnf,plain,
    ! [X] : q0(X,d),
    inference(nnf_transformation,[status(thm)],[f16]) ).

fof(f16_sk,plain,
    ! [X] : q0(X,d),
    inference(skolemisation,[status(esa)],[f16_nnf]) ).

cnf(c16,plain,
    q0(X0,d),
    inference(cnf_transformation,[status(esa)],[f16_sk]) ).

cnf(hi16,axiom,
    q0(X0,d) = true,
    inference(equality_encoding,[status(esa)],[c16]) ).

cnf(h122,plain,
    r1(V0) = true,
    inference(hyper_resolution,[status(thm)],[hi159,hi16,hi0,h0]) ).

cnf(f225,axiom,
    ( ~ l0(G)
    | ~ r1(G)
    | r2(G) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_188) ).

fof(f225_nnf,plain,
    ! [G] :
      ( ~ l0(G)
      | ~ r1(G)
      | r2(G) ),
    inference(nnf_transformation,[status(thm)],[f225]) ).

fof(f225_sk,plain,
    ! [G] :
      ( ~ l0(G)
      | ~ r1(G)
      | r2(G) ),
    inference(skolemisation,[status(esa)],[f225_nnf]) ).

cnf(c225,plain,
    ( ~ l0(X0)
    | ~ r1(X0)
    | r2(X0) ),
    inference(cnf_transformation,[status(esa)],[f225_sk]) ).

cnf(hi222,axiom,
    ifeq(r1(X0),true,ifeq(l0(X0),true,r2(X0),true),true) = true,
    inference(equality_encoding,[status(esa)],[c225]) ).

cnf(f19,axiom,
    l0(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_20) ).

fof(f19_nnf,plain,
    l0(a),
    inference(nnf_transformation,[status(thm)],[f19]) ).

cnf(c19,plain,
    l0(a),
    inference(cnf_transformation,[status(esa)],[f19_nnf]) ).

cnf(hi19,axiom,
    l0(a) = true,
    inference(equality_encoding,[status(esa)],[c19]) ).

cnf(h182,plain,
    r2(a) = true,
    inference(hyper_resolution,[status(thm)],[hi222,h122,hi19]) ).

cnf(f295,axiom,
    ( ~ l2(A,A)
    | ~ s1(J)
    | ~ r2(I)
    | q3(I,I) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_258) ).

fof(f295_nnf,plain,
    ! [I,J,A] :
      ( ~ l2(A,A)
      | ~ s1(J)
      | ~ r2(I)
      | q3(I,I) ),
    inference(nnf_transformation,[status(thm)],[f295]) ).

fof(f295_sk,plain,
    ! [I,J,A] :
      ( ~ l2(A,A)
      | ~ s1(J)
      | ~ r2(I)
      | q3(I,I) ),
    inference(skolemisation,[status(esa)],[f295_nnf]) ).

cnf(c295,plain,
    ( ~ l2(X2,X2)
    | ~ s1(X1)
    | ~ r2(X0)
    | q3(X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f295_sk]) ).

cnf(hi290,axiom,
    ifeq(r2(X0),true,ifeq(s1(X1),true,ifeq(l2(X2,X2),true,q3(X0,X0),true),true),true) = true,
    inference(equality_encoding,[status(esa)],[c295]) ).

cnf(h252,plain,
    q3(a,a) = true,
    inference(hyper_resolution,[status(thm)],[hi290,h182,h118,h112]) ).

cnf(f38,axiom,
    ( ~ n0(J,I)
    | k1(I) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_001) ).

fof(f38_nnf,plain,
    ! [I,J] :
      ( ~ n0(J,I)
      | k1(I) ),
    inference(nnf_transformation,[status(thm)],[f38]) ).

fof(f38_sk,plain,
    ! [I,J] :
      ( ~ n0(J,I)
      | k1(I) ),
    inference(skolemisation,[status(esa)],[f38_nnf]) ).

cnf(c38,plain,
    ( ~ n0(X1,X0)
    | k1(X0) ),
    inference(cnf_transformation,[status(esa)],[f38_sk]) ).

cnf(hi38,axiom,
    ifeq(n0(X0,X1),true,k1(X1),true) = true,
    inference(equality_encoding,[status(esa)],[c38]) ).

cnf(f2,axiom,
    n0(d,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f2_nnf,plain,
    n0(d,e),
    inference(nnf_transformation,[status(thm)],[f2]) ).

cnf(c2,plain,
    n0(d,e),
    inference(cnf_transformation,[status(esa)],[f2_nnf]) ).

cnf(hi2,axiom,
    n0(d,e) = true,
    inference(equality_encoding,[status(esa)],[c2]) ).

cnf(h6,plain,
    k1(e) = true,
    inference(hyper_resolution,[status(thm)],[hi38,hi2]) ).

cnf(f196,axiom,
    ( ~ k1(A)
    | p2(A,A,A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_159) ).

fof(f196_nnf,plain,
    ! [A] :
      ( ~ k1(A)
      | p2(A,A,A) ),
    inference(nnf_transformation,[status(thm)],[f196]) ).

fof(f196_sk,plain,
    ! [A] :
      ( ~ k1(A)
      | p2(A,A,A) ),
    inference(skolemisation,[status(esa)],[f196_nnf]) ).

cnf(c196,plain,
    ( ~ k1(X0)
    | p2(X0,X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f196_sk]) ).

cnf(hi193,axiom,
    ifeq(k1(X0),true,p2(X0,X0,X0),true) = true,
    inference(equality_encoding,[status(esa)],[c196]) ).

cnf(h93,plain,
    p2(e,e,e) = true,
    inference(hyper_resolution,[status(thm)],[hi193,h6]) ).

cnf(f277,axiom,
    ( ~ p2(E,F,D)
    | n3(D) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_240) ).

fof(f277_nnf,plain,
    ! [D,E,F] :
      ( ~ p2(E,F,D)
      | n3(D) ),
    inference(nnf_transformation,[status(thm)],[f277]) ).

fof(f277_sk,plain,
    ! [D,E,F] :
      ( ~ p2(E,F,D)
      | n3(D) ),
    inference(skolemisation,[status(esa)],[f277_nnf]) ).

cnf(c277,plain,
    ( ~ p2(X1,X2,X0)
    | n3(X0) ),
    inference(cnf_transformation,[status(esa)],[f277_sk]) ).

cnf(hi272,axiom,
    ifeq(p2(X0,X1,X2),true,n3(X2),true) = true,
    inference(equality_encoding,[status(esa)],[c277]) ).

cnf(h262,plain,
    n3(e) = true,
    inference(hyper_resolution,[status(thm)],[hi272,h93]) ).

cnf(f335,axiom,
    ( ~ p0(J,G)
    | ~ q3(H,I)
    | ~ n3(G)
    | r4(G) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_298) ).

fof(f335_nnf,plain,
    ! [G,H,I,J] :
      ( ~ p0(J,G)
      | ~ q3(H,I)
      | ~ n3(G)
      | r4(G) ),
    inference(nnf_transformation,[status(thm)],[f335]) ).

fof(f335_sk,plain,
    ! [G,H,I,J] :
      ( ~ p0(J,G)
      | ~ q3(H,I)
      | ~ n3(G)
      | r4(G) ),
    inference(skolemisation,[status(esa)],[f335_nnf]) ).

cnf(c335,plain,
    ( ~ p0(X3,X0)
    | ~ q3(X1,X2)
    | ~ n3(X0)
    | r4(X0) ),
    inference(cnf_transformation,[status(esa)],[f335_sk]) ).

cnf(hi328,axiom,
    ifeq(n3(X0),true,ifeq(q3(X1,X2),true,ifeq(p0(X3,X0),true,r4(X0),true),true),true) = true,
    inference(equality_encoding,[status(esa)],[c335]) ).

cnf(h360,plain,
    r4(e) = true,
    inference(hyper_resolution,[status(thm)],[hi328,h262,h252,hi13]) ).

cnf(f109,axiom,
    ( ~ s0(F)
    | ~ s0(G)
    | p1(F,F,F) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_072) ).

fof(f109_nnf,plain,
    ! [F,G] :
      ( ~ s0(F)
      | ~ s0(G)
      | p1(F,F,F) ),
    inference(nnf_transformation,[status(thm)],[f109]) ).

fof(f109_sk,plain,
    ! [F,G] :
      ( ~ s0(F)
      | ~ s0(G)
      | p1(F,F,F) ),
    inference(skolemisation,[status(esa)],[f109_nnf]) ).

cnf(c109,plain,
    ( ~ s0(X0)
    | ~ s0(X1)
    | p1(X0,X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f109_sk]) ).

cnf(hi108,axiom,
    ifeq(s0(X0),true,ifeq(s0(X1),true,p1(X1,X1,X1),true),true) = true,
    inference(equality_encoding,[status(esa)],[c109]) ).

cnf(f4,axiom,
    s0(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f4_nnf,plain,
    s0(b),
    inference(nnf_transformation,[status(thm)],[f4]) ).

cnf(c4,plain,
    s0(b),
    inference(cnf_transformation,[status(esa)],[f4_nnf]) ).

cnf(hi4,axiom,
    s0(b) = true,
    inference(equality_encoding,[status(esa)],[c4]) ).

cnf(h11,plain,
    p1(b,b,b) = true,
    inference(hyper_resolution,[status(thm)],[hi108,hi4,hi4]) ).

cnf(f174,axiom,
    ( ~ p1(B,C,A)
    | n2(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_137) ).

fof(f174_nnf,plain,
    ! [A,B,C] :
      ( ~ p1(B,C,A)
      | n2(A) ),
    inference(nnf_transformation,[status(thm)],[f174]) ).

fof(f174_sk,plain,
    ! [A,B,C] :
      ( ~ p1(B,C,A)
      | n2(A) ),
    inference(skolemisation,[status(esa)],[f174_nnf]) ).

cnf(c174,plain,
    ( ~ p1(X1,X2,X0)
    | n2(X0) ),
    inference(cnf_transformation,[status(esa)],[f174_sk]) ).

cnf(hi171,axiom,
    ifeq(p1(X0,X1,X2),true,n2(X2),true) = true,
    inference(equality_encoding,[status(esa)],[c174]) ).

cnf(h149,plain,
    n2(b) = true,
    inference(hyper_resolution,[status(thm)],[hi171,h11]) ).

cnf(f6,axiom,
    n0(d,b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_7) ).

fof(f6_nnf,plain,
    n0(d,b),
    inference(nnf_transformation,[status(thm)],[f6]) ).

cnf(c6,plain,
    n0(d,b),
    inference(cnf_transformation,[status(esa)],[f6_nnf]) ).

cnf(hi6,axiom,
    n0(d,b) = true,
    inference(equality_encoding,[status(esa)],[c6]) ).

cnf(h14,plain,
    k1(b) = true,
    inference(hyper_resolution,[status(thm)],[hi38,hi6]) ).

cnf(f286,axiom,
    ( ~ n2(H)
    | ~ k1(H)
    | p3(H,H,H) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_249) ).

fof(f286_nnf,plain,
    ! [H] :
      ( ~ n2(H)
      | ~ k1(H)
      | p3(H,H,H) ),
    inference(nnf_transformation,[status(thm)],[f286]) ).

fof(f286_sk,plain,
    ! [H] :
      ( ~ n2(H)
      | ~ k1(H)
      | p3(H,H,H) ),
    inference(skolemisation,[status(esa)],[f286_nnf]) ).

cnf(c286,plain,
    ( ~ n2(X0)
    | ~ k1(X0)
    | p3(X0,X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f286_sk]) ).

cnf(hi281,axiom,
    ifeq(k1(X0),true,ifeq(n2(X0),true,p3(X0,X0,X0),true),true) = true,
    inference(equality_encoding,[status(esa)],[c286]) ).

cnf(h206,plain,
    p3(b,b,b) = true,
    inference(hyper_resolution,[status(thm)],[hi281,h14,h149]) ).

cnf(f314,axiom,
    ( ~ p3(A,B,J)
    | l4(J) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_277) ).

fof(f314_nnf,plain,
    ! [J,A,B] :
      ( ~ p3(A,B,J)
      | l4(J) ),
    inference(nnf_transformation,[status(thm)],[f314]) ).

fof(f314_sk,plain,
    ! [J,A,B] :
      ( ~ p3(A,B,J)
      | l4(J) ),
    inference(skolemisation,[status(esa)],[f314_nnf]) ).

cnf(c314,plain,
    ( ~ p3(X1,X2,X0)
    | l4(X0) ),
    inference(cnf_transformation,[status(esa)],[f314_sk]) ).

cnf(hi308,axiom,
    ifeq(p3(X0,X1,X2),true,l4(X2),true) = true,
    inference(equality_encoding,[status(esa)],[c314]) ).

cnf(h387,plain,
    l4(b) = true,
    inference(hyper_resolution,[status(thm)],[hi308,h206]) ).

cnf(f366,axiom,
    ( ~ r4(I)
    | ~ l4(H)
    | s5(H) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',rule_329) ).

fof(f366_nnf,plain,
    ! [H,I] :
      ( ~ r4(I)
      | ~ l4(H)
      | s5(H) ),
    inference(nnf_transformation,[status(thm)],[f366]) ).

fof(f366_sk,plain,
    ! [H,I] :
      ( ~ r4(I)
      | ~ l4(H)
      | s5(H) ),
    inference(skolemisation,[status(esa)],[f366_nnf]) ).

cnf(c366,plain,
    ( ~ r4(X1)
    | ~ l4(X0)
    | s5(X0) ),
    inference(cnf_transformation,[status(esa)],[f366_sk]) ).

cnf(hi359,axiom,
    ifeq(l4(X0),true,ifeq(r4(X1),true,s5(X0),true),true) = true,
    inference(equality_encoding,[status(esa)],[c366]) ).

cnf(t28,plain,
    s5(b) = true,
    inference(hyper_resolution,[status(thm)],[hi359,h387,h360]) ).

cnf(t35,plain,
    s5(b) = true,
    inference(orient,[status(thm)],[t28]) ).

cnf(f368,negated_conjecture,
    ~ s5(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).

fof(f368_nnf,plain,
    ~ s5(b),
    inference(nnf_transformation,[status(thm)],[f368]) ).

fof(f368_sk,plain,
    ~ s5(b),
    inference(skolemisation,[status(esa)],[f368_nnf]) ).

cnf(c368,plain,
    ~ s5(b),
    inference(cnf_transformation,[status(esa)],[f368_sk]) ).

cnf(goal_0,negated_conjecture,
    s5(b) != true,
    inference(equality_encoding,[status(esa)],[c368]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t35]) ).

cnf(contradiction_0,plain,
    $false,
    inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN213-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.36  % Computer : n005.cluster.edu
% 0.11/0.36  % Model    : x86_64 x86_64
% 0.11/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36  % Memory   : 8046.5625MB
% 0.11/0.36  % OS       : Linux 6.8.0-71-generic
% 0.11/0.36  % CPULimit : 300
% 0.11/0.36  % WCLimit  : 300
% 0.11/0.36  % DateTime : Fri Sep 25 00:31:03 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.37  Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.06/1.14  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.06/1.14  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------