↑ Up

FindProof---0.1.UNS-Prf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : FindProof---0.1
% Problem  : SYN180-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300

% Computer : n016.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 03:34:00 PM UTC 2026

% Result   : Unsatisfiable 6.77s 16.35s
% Output   : Proof 6.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  135 (  79 unt;   0 def)
%            Number of atoms       :  247 (  41 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :  230 ( 118   ~; 112   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   19 (  17 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-4 aty)
%            Number of variables   :  176 (  40 sgn  70   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(f162,axiom,
    ( ~ p0(I,I)
    | s1(I) ),
    file('/export/starexec/sandbox2/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/sandbox2/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(f163,axiom,
    ( ~ s1(H)
    | ~ q0(F,G)
    | s1(F) ),
    file('/export/starexec/sandbox2/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(f35,axiom,
    q0(a,b),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).

fof(f35_nnf,plain,
    q0(a,b),
    inference(nnf_transformation,[status(thm)],[f35]) ).

cnf(c35,plain,
    q0(a,b),
    inference(cnf_transformation,[status(esa)],[f35_nnf]) ).

cnf(hi35,axiom,
    q0(a,b) = true,
    inference(equality_encoding,[status(esa)],[c35]) ).

cnf(h115,plain,
    s1(a) = true,
    inference(hyper_resolution,[status(thm)],[hi161,hi35,h26]) ).

cnf(f227,axiom,
    ( ~ s0(d)
    | ~ s1(a)
    | s2(d) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_190) ).

fof(f227_nnf,plain,
    ( ~ s0(d)
    | ~ s1(a)
    | s2(d) ),
    inference(nnf_transformation,[status(thm)],[f227]) ).

fof(f227_sk,plain,
    ( ~ s0(d)
    | ~ s1(a)
    | s2(d) ),
    inference(skolemisation,[status(esa)],[f227_nnf]) ).

cnf(c227,plain,
    ( ~ s0(d)
    | ~ s1(a)
    | s2(d) ),
    inference(cnf_transformation,[status(esa)],[f227_sk]) ).

cnf(hi224,axiom,
    ifeq(s1(a),true,ifeq(s0(d),true,s2(d),true),true) = true,
    inference(equality_encoding,[status(esa)],[c227]) ).

cnf(f0,axiom,
    s0(d),
    file('/export/starexec/sandbox2/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(h160,plain,
    s2(d) = true,
    inference(hyper_resolution,[status(thm)],[hi224,h115,hi0]) ).

cnf(f170,axiom,
    ( ~ m0(C,B,J)
    | ~ s1(B)
    | ~ p0(A,A)
    | l2(J,J) ),
    file('/export/starexec/sandbox2/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(f15,axiom,
    m0(c,b,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).

fof(f15_nnf,plain,
    m0(c,b,a),
    inference(nnf_transformation,[status(thm)],[f15]) ).

cnf(c15,plain,
    m0(c,b,a),
    inference(cnf_transformation,[status(esa)],[f15_nnf]) ).

cnf(hi15,axiom,
    m0(c,b,a) = true,
    inference(equality_encoding,[status(esa)],[c15]) ).

cnf(h114,plain,
    l2(a,a) = true,
    inference(hyper_resolution,[status(thm)],[hi167,hi13,h26,hi15]) ).

cnf(f262,axiom,
    ( ~ s2(B)
    | ~ m0(J,C,C)
    | ~ l2(C,J)
    | ~ m0(B,B,A)
    | m3(J,A,J) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_225) ).

fof(f262_nnf,plain,
    ! [J,A,B,C] :
      ( ~ s2(B)
      | ~ m0(J,C,C)
      | ~ l2(C,J)
      | ~ m0(B,B,A)
      | m3(J,A,J) ),
    inference(nnf_transformation,[status(thm)],[f262]) ).

fof(f262_sk,plain,
    ! [J,A,B,C] :
      ( ~ s2(B)
      | ~ m0(J,C,C)
      | ~ l2(C,J)
      | ~ m0(B,B,A)
      | m3(J,A,J) ),
    inference(skolemisation,[status(esa)],[f262_nnf]) ).

cnf(c262,plain,
    ( ~ s2(X2)
    | ~ m0(X0,X3,X3)
    | ~ l2(X3,X0)
    | ~ m0(X2,X2,X1)
    | m3(X0,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f262_sk]) ).

cnf(hi257,axiom,
    ifeq(m0(X0,X0,X1),true,ifeq(l2(X2,X3),true,ifeq(m0(X3,X2,X2),true,ifeq(s2(X0),true,m3(X3,X1,X3),true),true),true),true) = true,
    inference(equality_encoding,[status(esa)],[c262]) ).

cnf(f18,axiom,
    m0(X,d,Y),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).

fof(f18_nnf,plain,
    ! [X,Y] : m0(X,d,Y),
    inference(nnf_transformation,[status(thm)],[f18]) ).

fof(f18_sk,plain,
    ! [X,Y] : m0(X,d,Y),
    inference(skolemisation,[status(esa)],[f18_nnf]) ).

cnf(c18,plain,
    m0(X0,d,X1),
    inference(cnf_transformation,[status(esa)],[f18_sk]) ).

cnf(hi18,axiom,
    m0(X0,d,X1) = true,
    inference(equality_encoding,[status(esa)],[c18]) ).

cnf(f11,axiom,
    m0(a,X,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

fof(f11_nnf,plain,
    ! [X] : m0(a,X,a),
    inference(nnf_transformation,[status(thm)],[f11]) ).

fof(f11_sk,plain,
    ! [X] : m0(a,X,a),
    inference(skolemisation,[status(esa)],[f11_nnf]) ).

cnf(c11,plain,
    m0(a,X0,a),
    inference(cnf_transformation,[status(esa)],[f11_sk]) ).

cnf(hi11,axiom,
    m0(a,X0,a) = true,
    inference(equality_encoding,[status(esa)],[c11]) ).

cnf(h269,plain,
    m3(a,V0,a) = true,
    inference(hyper_resolution,[status(thm)],[hi257,hi18,h114,hi11,h160]) ).

cnf(f103,axiom,
    ( ~ n0(H,G)
    | p1(G,G,G) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_066) ).

fof(f103_nnf,plain,
    ! [G,H] :
      ( ~ n0(H,G)
      | p1(G,G,G) ),
    inference(nnf_transformation,[status(thm)],[f103]) ).

fof(f103_sk,plain,
    ! [G,H] :
      ( ~ n0(H,G)
      | p1(G,G,G) ),
    inference(skolemisation,[status(esa)],[f103_nnf]) ).

cnf(c103,plain,
    ( ~ n0(X1,X0)
    | p1(X0,X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f103_sk]) ).

cnf(hi102,axiom,
    ifeq(n0(X0,X1),true,p1(X1,X1,X1),true) = true,
    inference(equality_encoding,[status(esa)],[c103]) ).

cnf(f2,axiom,
    n0(d,e),
    file('/export/starexec/sandbox2/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(h4,plain,
    p1(e,e,e) = true,
    inference(hyper_resolution,[status(thm)],[hi102,hi2]) ).

cnf(f218,axiom,
    ( ~ p1(I,I,I)
    | q2(I,I,I) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_181) ).

fof(f218_nnf,plain,
    ! [I] :
      ( ~ p1(I,I,I)
      | q2(I,I,I) ),
    inference(nnf_transformation,[status(thm)],[f218]) ).

fof(f218_sk,plain,
    ! [I] :
      ( ~ p1(I,I,I)
      | q2(I,I,I) ),
    inference(skolemisation,[status(esa)],[f218_nnf]) ).

cnf(c218,plain,
    ( ~ p1(X0,X0,X0)
    | q2(X0,X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f218_sk]) ).

cnf(hi215,axiom,
    ifeq(p1(X0,X0,X0),true,q2(X0,X0,X0),true) = true,
    inference(equality_encoding,[status(esa)],[c218]) ).

cnf(h135,plain,
    q2(e,e,e) = true,
    inference(hyper_resolution,[status(thm)],[hi215,h4]) ).

cnf(f143,axiom,
    ( ~ s0(B)
    | q1(B,B,B) ),
    file('/export/starexec/sandbox2/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(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/sandbox2/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(f1,axiom,
    q0(e,d),
    file('/export/starexec/sandbox2/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(h123,plain,
    r1(e) = true,
    inference(hyper_resolution,[status(thm)],[hi159,hi1,hi0,h0]) ).

cnf(f224,axiom,
    ( ~ q2(D,D,D)
    | ~ k0(D)
    | ~ m0(E,F,C)
    | ~ r1(D)
    | q2(C,D,C) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_187) ).

fof(f224_nnf,plain,
    ! [C,D,E,F] :
      ( ~ q2(D,D,D)
      | ~ k0(D)
      | ~ m0(E,F,C)
      | ~ r1(D)
      | q2(C,D,C) ),
    inference(nnf_transformation,[status(thm)],[f224]) ).

fof(f224_sk,plain,
    ! [C,D,E,F] :
      ( ~ q2(D,D,D)
      | ~ k0(D)
      | ~ m0(E,F,C)
      | ~ r1(D)
      | q2(C,D,C) ),
    inference(skolemisation,[status(esa)],[f224_nnf]) ).

cnf(c224,plain,
    ( ~ q2(X1,X1,X1)
    | ~ k0(X1)
    | ~ m0(X2,X3,X0)
    | ~ r1(X1)
    | q2(X0,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f224_sk]) ).

cnf(hi221,axiom,
    ifeq(r1(X0),true,ifeq(m0(X1,X2,X3),true,ifeq(k0(X0),true,ifeq(q2(X0,X0,X0),true,q2(X3,X0,X3),true),true),true),true) = true,
    inference(equality_encoding,[status(esa)],[c224]) ).

cnf(f37,axiom,
    m0(b,a,a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_38) ).

fof(f37_nnf,plain,
    m0(b,a,a),
    inference(nnf_transformation,[status(thm)],[f37]) ).

cnf(c37,plain,
    m0(b,a,a),
    inference(cnf_transformation,[status(esa)],[f37_nnf]) ).

cnf(hi37,axiom,
    m0(b,a,a) = true,
    inference(equality_encoding,[status(esa)],[c37]) ).

cnf(f27,axiom,
    k0(e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).

fof(f27_nnf,plain,
    k0(e),
    inference(nnf_transformation,[status(thm)],[f27]) ).

cnf(c27,plain,
    k0(e),
    inference(cnf_transformation,[status(esa)],[f27_nnf]) ).

cnf(hi27,axiom,
    k0(e) = true,
    inference(equality_encoding,[status(esa)],[c27]) ).

cnf(h292,plain,
    q2(a,e,a) = true,
    inference(hyper_resolution,[status(thm)],[hi221,h123,hi37,hi27,h135]) ).

cnf(f112,axiom,
    ( ~ p0(b,a)
    | p1(a,a,a) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_075) ).

fof(f112_nnf,plain,
    ( ~ p0(b,a)
    | p1(a,a,a) ),
    inference(nnf_transformation,[status(thm)],[f112]) ).

fof(f112_sk,plain,
    ( ~ p0(b,a)
    | p1(a,a,a) ),
    inference(skolemisation,[status(esa)],[f112_nnf]) ).

cnf(c112,plain,
    ( ~ p0(b,a)
    | p1(a,a,a) ),
    inference(cnf_transformation,[status(esa)],[f112_sk]) ).

cnf(hi111,axiom,
    ifeq(p0(b,a),true,p1(a,a,a),true) = true,
    inference(equality_encoding,[status(esa)],[c112]) ).

cnf(h31,plain,
    p1(a,a,a) = true,
    inference(hyper_resolution,[status(thm)],[hi111,hi13]) ).

cnf(f174,axiom,
    ( ~ p1(B,C,A)
    | n2(A) ),
    file('/export/starexec/sandbox2/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(h179,plain,
    n2(a) = true,
    inference(hyper_resolution,[status(thm)],[hi171,h31]) ).

cnf(f247,axiom,
    ( ~ n2(D)
    | k3(D,D,D) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_210) ).

fof(f247_nnf,plain,
    ! [D] :
      ( ~ n2(D)
      | k3(D,D,D) ),
    inference(nnf_transformation,[status(thm)],[f247]) ).

fof(f247_sk,plain,
    ! [D] :
      ( ~ n2(D)
      | k3(D,D,D) ),
    inference(skolemisation,[status(esa)],[f247_nnf]) ).

cnf(c247,plain,
    ( ~ n2(X0)
    | k3(X0,X0,X0) ),
    inference(cnf_transformation,[status(esa)],[f247_sk]) ).

cnf(hi242,axiom,
    ifeq(n2(X0),true,k3(X0,X0,X0),true) = true,
    inference(equality_encoding,[status(esa)],[c247]) ).

cnf(h225,plain,
    k3(a,a,a) = true,
    inference(hyper_resolution,[status(thm)],[hi242,h179]) ).

cnf(f332,axiom,
    ( ~ m3(E,F,E)
    | ~ q2(E,C,B)
    | ~ k3(D,D,B)
    | q4(B,C) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rule_295) ).

fof(f332_nnf,plain,
    ! [B,C,D,E,F] :
      ( ~ m3(E,F,E)
      | ~ q2(E,C,B)
      | ~ k3(D,D,B)
      | q4(B,C) ),
    inference(nnf_transformation,[status(thm)],[f332]) ).

fof(f332_sk,plain,
    ! [B,C,D,E,F] :
      ( ~ m3(E,F,E)
      | ~ q2(E,C,B)
      | ~ k3(D,D,B)
      | q4(B,C) ),
    inference(skolemisation,[status(esa)],[f332_nnf]) ).

cnf(c332,plain,
    ( ~ m3(X3,X4,X3)
    | ~ q2(X3,X1,X0)
    | ~ k3(X2,X2,X0)
    | q4(X0,X1) ),
    inference(cnf_transformation,[status(esa)],[f332_sk]) ).

cnf(hi325,axiom,
    ifeq(k3(X0,X0,X1),true,ifeq(q2(X2,X3,X1),true,ifeq(m3(X2,X4,X2),true,q4(X1,X3),true),true),true) = true,
    inference(equality_encoding,[status(esa)],[c332]) ).

cnf(t42,plain,
    q4(a,e) = true,
    inference(hyper_resolution,[status(thm)],[hi325,h225,h292,h269]) ).

cnf(t99,plain,
    q4(a,e) = true,
    inference(orient,[status(thm)],[t42]) ).

cnf(f368,negated_conjecture,
    ~ q4(a,e),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).

fof(f368_nnf,plain,
    ~ q4(a,e),
    inference(nnf_transformation,[status(thm)],[f368]) ).

fof(f368_sk,plain,
    ~ q4(a,e),
    inference(skolemisation,[status(esa)],[f368_nnf]) ).

cnf(c368,plain,
    ~ q4(a,e),
    inference(cnf_transformation,[status(esa)],[f368_sk]) ).

cnf(goal_0,negated_conjecture,
    q4(a,e) != true,
    inference(equality_encoding,[status(esa)],[c368]) ).

cnf(g0_0,plain,
    true != true,
    inference(rw,[status(thm)],[goal_0,t99]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN180-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04  % Command  : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.11/15.39  % Computer : n016.cluster.edu
% 0.11/15.39  % Model    : x86_64 x86_64
% 0.11/15.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.39  % Memory   : 8046.5625MB
% 0.11/15.39  % OS       : Linux 6.8.0-71-generic
% 0.11/15.39  % CPULimit : 300
% 0.11/15.39  % WCLimit  : 300
% 0.11/15.39  % DateTime : Fri Sep 25 00:29:45 UTC 2026
% 0.15/15.40  % CPUTime  : 
% 0.15/15.40  Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.77/16.35  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.77/16.35  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------