↑ Up

Drodi---4.1.1.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SYN141-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n015.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 : Thu Sep 24 03:15:19 PM UTC 2026

% Result   : Unsatisfiable 0.08s 0.43s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  116 (  32 unt;   0 def)
%            Number of atoms       :  330 (   0 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  446 ( 232   ~; 214   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   20 (  19 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :  234 ( 234   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    s0(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    ! [X] : p0(b,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [X] : q0(X,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ! [X,Y] : m0(X,d,Y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    l0(a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    n0(d,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,axiom,
    m0(b,b,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,axiom,
    k0(b),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,axiom,
    q0(d,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f37,axiom,
    n0(b,a),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f40,axiom,
    ! [G,H] :
      ( ~ n0(H,G)
      | l1(G,G) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f88,axiom,
    ! [D,E] :
      ( ~ p0(b,E)
      | ~ l0(D)
      | ~ s0(b)
      | n1(D,E,D) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f92,axiom,
    ! [E,F,G] :
      ( ~ n1(E,F,E)
      | ~ l1(G,E)
      | ~ l0(G)
      | n1(E,F,F) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f106,axiom,
    ! [D] :
      ( ~ k0(D)
      | p1(D,D,D) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f113,axiom,
    ( ~ p0(b,a)
    | p1(a,a,a) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f163,axiom,
    ! [I] :
      ( ~ p0(I,I)
      | s1(I) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f164,axiom,
    ! [F,G,H] :
      ( ~ s1(H)
      | ~ q0(F,G)
      | s1(F) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f169,axiom,
    ! [D,E] :
      ( ~ l2(E,E)
      | ~ n0(e,E)
      | ~ s1(D)
      | l2(D,E) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f171,axiom,
    ! [J,A,B,C] :
      ( ~ m0(C,B,J)
      | ~ s1(B)
      | ~ p0(A,A)
      | l2(J,J) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f215,axiom,
    ! [E,F] :
      ( ~ p1(E,E,E)
      | ~ k0(F)
      | q2(E,F,F) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f219,axiom,
    ! [I] :
      ( ~ p1(I,I,I)
      | q2(I,I,I) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f220,axiom,
    ! [F,G,H] :
      ( ~ q2(G,H,F)
      | ~ n1(G,F,H)
      | ~ p1(F,F,H)
      | q2(F,G,F) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f227,axiom,
    ! [H] :
      ( ~ s1(b)
      | ~ q2(b,H,b)
      | s2(H) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f284,axiom,
    ! [D] :
      ( ~ l2(D,D)
      | p3(D,D,D) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f311,axiom,
    ! [I,J,A,B] :
      ( ~ m0(A,B,J)
      | ~ s2(I)
      | ~ q2(A,I,A)
      | s3(I,J) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f317,axiom,
    ! [E,F,G] :
      ( ~ s3(a,E)
      | ~ l2(G,F)
      | m4(E,F) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f337,axiom,
    ! [A,B,C,D] :
      ( ~ l1(A,C)
      | ~ p3(B,C,D)
      | s4(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f343,axiom,
    ! [B] :
      ( ~ m4(e,e)
      | ~ s4(B)
      | m5(B,B) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f369,negated_conjecture,
    ! [X] : ~ m5(c,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f374,plain,
    s0(b),
    inference(cnf_transformation,[status(thm)],[f5]) ).

fof(f383,plain,
    ! [X0] : p0(b,X0),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f386,plain,
    ! [X0] : q0(X0,d),
    inference(cnf_transformation,[status(thm)],[f17]) ).

fof(f388,plain,
    ! [X0,X1] : m0(X0,d,X1),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f389,plain,
    l0(a),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f395,plain,
    n0(d,c),
    inference(cnf_transformation,[status(thm)],[f26]) ).

fof(f399,plain,
    n0(e,e),
    inference(cnf_transformation,[status(thm)],[f30]) ).

fof(f400,plain,
    m0(b,b,e),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f401,plain,
    k0(b),
    inference(cnf_transformation,[status(thm)],[f32]) ).

fof(f402,plain,
    q0(d,c),
    inference(cnf_transformation,[status(thm)],[f33]) ).

fof(f406,plain,
    n0(b,a),
    inference(cnf_transformation,[status(thm)],[f37]) ).

fof(f410,plain,
    ! [G] :
      ( ! [H] : ~ n0(H,G)
      | l1(G,G) ),
    inference(miniscoping,[status(thm)],[f40]) ).

fof(f411,plain,
    ! [X0,X1] :
      ( ~ n0(X1,X0)
      | l1(X0,X0) ),
    inference(cnf_transformation,[status(thm)],[f410]) ).

fof(f488,plain,
    ! [E] :
      ( ~ p0(b,E)
      | ! [D] :
          ( ~ l0(D)
          | ~ s0(b)
          | n1(D,E,D) ) ),
    inference(miniscoping,[status(thm)],[f88]) ).

fof(f489,plain,
    ! [X0,X1] :
      ( ~ p0(b,X1)
      | ~ l0(X0)
      | ~ s0(b)
      | n1(X0,X1,X0) ),
    inference(cnf_transformation,[status(thm)],[f488]) ).

fof(f495,plain,
    ! [E,F] :
      ( ~ n1(E,F,E)
      | ! [G] :
          ( ~ l1(G,E)
          | ~ l0(G)
          | n1(E,F,F) ) ),
    inference(miniscoping,[status(thm)],[f92]) ).

fof(f496,plain,
    ! [X0,X1,X2] :
      ( ~ n1(X0,X1,X0)
      | ~ l1(X2,X0)
      | ~ l0(X2)
      | n1(X0,X1,X1) ),
    inference(cnf_transformation,[status(thm)],[f495]) ).

fof(f517,plain,
    ! [X0] :
      ( ~ k0(X0)
      | p1(X0,X0,X0) ),
    inference(cnf_transformation,[status(thm)],[f106]) ).

fof(f528,plain,
    ( ~ p0(b,a)
    | p1(a,a,a) ),
    inference(cnf_transformation,[status(thm)],[f113]) ).

fof(f607,plain,
    ! [X0] :
      ( ~ p0(X0,X0)
      | s1(X0) ),
    inference(cnf_transformation,[status(thm)],[f163]) ).

fof(f608,plain,
    ( ! [H] : ~ s1(H)
    | ! [F] :
        ( ! [G] : ~ q0(F,G)
        | s1(F) ) ),
    inference(miniscoping,[status(thm)],[f164]) ).

fof(f609,plain,
    ! [X0,X1,X2] :
      ( ~ s1(X2)
      | ~ q0(X0,X1)
      | s1(X0) ),
    inference(cnf_transformation,[status(thm)],[f608]) ).

fof(f616,plain,
    ! [E] :
      ( ~ l2(E,E)
      | ~ n0(e,E)
      | ! [D] :
          ( ~ s1(D)
          | l2(D,E) ) ),
    inference(miniscoping,[status(thm)],[f169]) ).

fof(f617,plain,
    ! [X0,X1] :
      ( ~ l2(X1,X1)
      | ~ n0(e,X1)
      | ~ s1(X0)
      | l2(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f616]) ).

fof(f619,plain,
    ! [J,B] :
      ( ! [C] : ~ m0(C,B,J)
      | ~ s1(B)
      | ! [A] : ~ p0(A,A)
      | l2(J,J) ),
    inference(miniscoping,[status(thm)],[f171]) ).

fof(f620,plain,
    ! [X0,X1,X2,X3] :
      ( ~ m0(X3,X2,X0)
      | ~ s1(X2)
      | ~ p0(X1,X1)
      | l2(X0,X0) ),
    inference(cnf_transformation,[status(thm)],[f619]) ).

fof(f686,plain,
    ! [E] :
      ( ~ p1(E,E,E)
      | ! [F] :
          ( ~ k0(F)
          | q2(E,F,F) ) ),
    inference(miniscoping,[status(thm)],[f215]) ).

fof(f687,plain,
    ! [X0,X1] :
      ( ~ p1(X0,X0,X0)
      | ~ k0(X1)
      | q2(X0,X1,X1) ),
    inference(cnf_transformation,[status(thm)],[f686]) ).

fof(f692,plain,
    ! [X0] :
      ( ~ p1(X0,X0,X0)
      | q2(X0,X0,X0) ),
    inference(cnf_transformation,[status(thm)],[f219]) ).

fof(f693,plain,
    ! [X0,X1,X2] :
      ( ~ q2(X1,X2,X0)
      | ~ n1(X1,X0,X2)
      | ~ p1(X0,X0,X2)
      | q2(X0,X1,X0) ),
    inference(cnf_transformation,[status(thm)],[f220]) ).

fof(f703,plain,
    ( ~ s1(b)
    | ! [H] :
        ( ~ q2(b,H,b)
        | s2(H) ) ),
    inference(miniscoping,[status(thm)],[f227]) ).

fof(f704,plain,
    ! [X0] :
      ( ~ s1(b)
      | ~ q2(b,X0,b)
      | s2(X0) ),
    inference(cnf_transformation,[status(thm)],[f703]) ).

fof(f787,plain,
    ! [X0] :
      ( ~ l2(X0,X0)
      | p3(X0,X0,X0) ),
    inference(cnf_transformation,[status(thm)],[f284]) ).

fof(f830,plain,
    ! [J,A] :
      ( ! [B] : ~ m0(A,B,J)
      | ! [I] :
          ( ~ s2(I)
          | ~ q2(A,I,A)
          | s3(I,J) ) ),
    inference(miniscoping,[status(thm)],[f311]) ).

fof(f831,plain,
    ! [X0,X1,X2,X3] :
      ( ~ m0(X2,X3,X1)
      | ~ s2(X0)
      | ~ q2(X2,X0,X2)
      | s3(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f830]) ).

fof(f840,plain,
    ! [E] :
      ( ~ s3(a,E)
      | ! [F] :
          ( ! [G] : ~ l2(G,F)
          | m4(E,F) ) ),
    inference(miniscoping,[status(thm)],[f317]) ).

fof(f841,plain,
    ! [X0,X1,X2] :
      ( ~ s3(a,X0)
      | ~ l2(X2,X1)
      | m4(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f840]) ).

fof(f873,plain,
    ! [A,C] :
      ( ~ l1(A,C)
      | ! [B,D] : ~ p3(B,C,D)
      | s4(A) ),
    inference(miniscoping,[status(thm)],[f337]) ).

fof(f874,plain,
    ! [X0,X1,X2,X3] :
      ( ~ l1(X0,X2)
      | ~ p3(X1,X2,X3)
      | s4(X0) ),
    inference(cnf_transformation,[status(thm)],[f873]) ).

fof(f883,plain,
    ( ~ m4(e,e)
    | ! [B] :
        ( ~ s4(B)
        | m5(B,B) ) ),
    inference(miniscoping,[status(thm)],[f343]) ).

fof(f884,plain,
    ! [X0] :
      ( ~ m4(e,e)
      | ~ s4(X0)
      | m5(X0,X0) ),
    inference(cnf_transformation,[status(thm)],[f883]) ).

fof(f924,plain,
    ! [X0] : ~ m5(c,X0),
    inference(cnf_transformation,[status(thm)],[f369]) ).

fof(f936,plain,
    ! [X0,X1] :
      ( ~ p0(b,X1)
      | ~ l0(X0)
      | n1(X0,X1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f489,f374]) ).

fof(f942,plain,
    p1(a,a,a),
    inference(forward_subsumption_resolution,[status(thm)],[f528,f383]) ).

fof(f989,plain,
    ! [X0,X1,X2] :
      ( ~ m0(X2,X1,X0)
      | ~ s1(X1)
      | l2(X0,X0) ),
    inference(resolution,[status(thm)],[f620,f383]) ).

fof(f1007,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ s1(X4)
      | ~ q0(X2,X3)
      | ~ m0(X1,X2,X0)
      | l2(X0,X0) ),
    inference(resolution,[status(thm)],[f989,f609]) ).

fof(f1008,plain,
    ! [X0,X1,X2] :
      ( ~ p0(X2,X2)
      | ~ m0(X1,X2,X0)
      | l2(X0,X0) ),
    inference(resolution,[status(thm)],[f989,f607]) ).

fof(f1025,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ l2(X4,X3)
      | m4(X2,X3)
      | ~ m0(X0,X1,X2)
      | ~ s2(a)
      | ~ q2(X0,a,X0) ),
    inference(resolution,[status(thm)],[f831,f841]) ).

fof(f1027,plain,
    ! [X0,X1] :
      ( ~ m0(X1,b,X0)
      | l2(X0,X0) ),
    inference(resolution,[status(thm)],[f1008,f383]) ).

fof(f1028,plain,
    l2(e,e),
    inference(resolution,[status(thm)],[f1027,f400]) ).

fof(f1038,plain,
    ! [X0] :
      ( ~ n0(e,e)
      | ~ s1(X0)
      | l2(X0,e) ),
    inference(resolution,[status(thm)],[f1028,f617]) ).

fof(f1042,plain,
    ! [X0] :
      ( ~ s1(X0)
      | l2(X0,e) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1038,f399]) ).

fof(f1067,plain,
    ! [X0,X1,X2] :
      ( ~ s1(X2)
      | ~ q0(X0,X1)
      | l2(X0,e) ),
    inference(resolution,[status(thm)],[f1042,f609]) ).

fof(f1119,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ s1(b)
      | ~ q2(b,a,b)
      | ~ l2(X4,X3)
      | m4(X2,X3)
      | ~ m0(X0,X1,X2)
      | ~ q2(X0,a,X0) ),
    inference(resolution,[status(thm)],[f1025,f704]) ).

fof(f1135,plain,
    ! [X0,X1,X2] :
      ( ~ p0(X2,X2)
      | ~ q0(X0,X1)
      | l2(X0,e) ),
    inference(resolution,[status(thm)],[f1067,f607]) ).

fof(f1139,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ p0(X4,X4)
      | ~ q0(X2,X3)
      | ~ m0(X1,X2,X0)
      | l2(X0,X0) ),
    inference(resolution,[status(thm)],[f1007,f607]) ).

fof(f1185,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ p0(b,b)
      | ~ q2(b,a,b)
      | ~ l2(X4,X3)
      | m4(X2,X3)
      | ~ m0(X0,X1,X2)
      | ~ q2(X0,a,X0) ),
    inference(resolution,[status(thm)],[f1119,f607]) ).

fof(f1186,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ q2(b,a,b)
      | ~ l2(X4,X3)
      | m4(X2,X3)
      | ~ m0(X0,X1,X2)
      | ~ q2(X0,a,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1185,f383]) ).

fof(f1210,plain,
    ! [X0,X1,X2,X3] :
      ( ~ q0(X2,X3)
      | ~ m0(X1,X2,X0)
      | l2(X0,X0) ),
    inference(resolution,[status(thm)],[f1139,f383]) ).

fof(f1228,plain,
    ! [X0,X1] :
      ( ~ q0(X0,X1)
      | l2(X0,e) ),
    inference(resolution,[status(thm)],[f1135,f383]) ).

fof(f1231,plain,
    ! [X0,X1,X2,X3,X4,X5] :
      ( ~ q2(a,X5,b)
      | ~ n1(a,b,X5)
      | ~ p1(b,b,X5)
      | ~ l2(X4,X3)
      | m4(X2,X3)
      | ~ m0(X0,X1,X2)
      | ~ q2(X0,a,X0) ),
    inference(resolution,[status(thm)],[f1186,f693]) ).

fof(f1240,plain,
    ! [X0] : l2(X0,e),
    inference(resolution,[status(thm)],[f1228,f386]) ).

fof(f1261,plain,
    ! [X0,X1] :
      ( ~ m0(X1,d,X0)
      | l2(X0,X0) ),
    inference(resolution,[status(thm)],[f1210,f402]) ).

fof(f1271,plain,
    ! [X0] : p3(X0,X0,X0),
    inference(backward_subsumption_resolution,[status(thm)],[f787,f1274]) ).

fof(f1274,plain,
    ! [X0] : l2(X0,X0),
    inference(forward_subsumption_resolution,[status(thm)],[f1261,f388]) ).

fof(f1285,plain,
    ! [X0,X1] :
      ( ~ l1(X0,X1)
      | s4(X0) ),
    inference(resolution,[status(thm)],[f1271,f874]) ).

fof(f1339,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ s4(X4)
      | m5(X4,X4)
      | ~ q2(a,X3,b)
      | ~ n1(a,b,X3)
      | ~ p1(b,b,X3)
      | ~ l2(X2,e)
      | ~ m0(X0,X1,e)
      | ~ q2(X0,a,X0) ),
    inference(resolution,[status(thm)],[f1231,f884]) ).

fof(f1341,plain,
    ! [X0,X1,X2,X3] :
      ( ~ s4(X3)
      | m5(X3,X3)
      | ~ q2(a,X2,b)
      | ~ n1(a,b,X2)
      | ~ p1(b,b,X2)
      | ~ m0(X0,X1,e)
      | ~ q2(X0,a,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1339,f1240]) ).

fof(f1349,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ l1(X3,X4)
      | m5(X3,X3)
      | ~ q2(a,X2,b)
      | ~ n1(a,b,X2)
      | ~ p1(b,b,X2)
      | ~ m0(X0,X1,e)
      | ~ q2(X0,a,X0) ),
    inference(resolution,[status(thm)],[f1341,f1285]) ).

fof(f1350,plain,
    ! [X0,X1,X2,X3] :
      ( ~ l1(c,X3)
      | ~ q2(a,X2,b)
      | ~ n1(a,b,X2)
      | ~ p1(b,b,X2)
      | ~ m0(X0,X1,e)
      | ~ q2(X0,a,X0) ),
    inference(resolution,[status(thm)],[f1349,f924]) ).

fof(f1353,plain,
    ! [X0,X1,X2,X3] :
      ( ~ n0(X3,c)
      | ~ q2(a,X2,b)
      | ~ n1(a,b,X2)
      | ~ p1(b,b,X2)
      | ~ m0(X0,X1,e)
      | ~ q2(X0,a,X0) ),
    inference(resolution,[status(thm)],[f1350,f411]) ).

fof(f1354,plain,
    ! [X0,X1,X2] :
      ( ~ q2(a,X2,b)
      | ~ n1(a,b,X2)
      | ~ p1(b,b,X2)
      | ~ m0(X0,X1,e)
      | ~ q2(X0,a,X0) ),
    inference(resolution,[status(thm)],[f1353,f395]) ).

fof(f1356,plain,
    ! [X0,X1] :
      ( ~ p1(a,a,a)
      | ~ k0(b)
      | ~ n1(a,b,b)
      | ~ p1(b,b,b)
      | ~ m0(X0,X1,e)
      | ~ q2(X0,a,X0) ),
    inference(resolution,[status(thm)],[f1354,f687]) ).

fof(f1358,plain,
    ! [X0,X1] :
      ( ~ p1(a,a,a)
      | ~ k0(b)
      | ~ n1(a,b,b)
      | ~ m0(X0,X1,e)
      | ~ q2(X0,a,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1356,f517]) ).

fof(f1359,plain,
    ! [X0,X1] :
      ( ~ p1(a,a,a)
      | ~ n1(a,b,b)
      | ~ m0(X0,X1,e)
      | ~ q2(X0,a,X0) ),
    inference(resolution,[status(thm)],[f1358,f401]) ).

fof(f1360,plain,
    ! [X0,X1] :
      ( ~ n1(a,b,b)
      | ~ m0(X0,X1,e)
      | ~ q2(X0,a,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1359,f942]) ).

fof(f1362,plain,
    ! [X0,X1,X2] :
      ( ~ n1(a,b,a)
      | ~ l1(X2,a)
      | ~ l0(X2)
      | ~ m0(X0,X1,e)
      | ~ q2(X0,a,X0) ),
    inference(resolution,[status(thm)],[f1360,f496]) ).

fof(f1372,plain,
    ! [X0,X1] :
      ( ~ n1(a,b,a)
      | ~ l1(a,a)
      | ~ m0(X0,X1,e)
      | ~ q2(X0,a,X0) ),
    inference(resolution,[status(thm)],[f1362,f389]) ).

fof(f1378,plain,
    ! [X0,X1,X2] :
      ( ~ n0(X2,a)
      | ~ n1(a,b,a)
      | ~ m0(X0,X1,e)
      | ~ q2(X0,a,X0) ),
    inference(resolution,[status(thm)],[f1372,f411]) ).

fof(f1389,plain,
    ! [X0,X1] :
      ( ~ n1(a,b,a)
      | ~ m0(X0,X1,e)
      | ~ q2(X0,a,X0) ),
    inference(resolution,[status(thm)],[f1378,f406]) ).

fof(f1390,plain,
    ! [X0,X1] :
      ( ~ p0(b,b)
      | ~ l0(a)
      | ~ m0(X0,X1,e)
      | ~ q2(X0,a,X0) ),
    inference(resolution,[status(thm)],[f1389,f936]) ).

fof(f1393,plain,
    ! [X0,X1] :
      ( ~ p0(b,b)
      | ~ m0(X0,X1,e)
      | ~ q2(X0,a,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1390,f389]) ).

fof(f1395,plain,
    ! [X0,X1] :
      ( ~ m0(X0,X1,e)
      | ~ q2(X0,a,X0) ),
    inference(resolution,[status(thm)],[f1393,f383]) ).

fof(f1398,plain,
    ! [X0] : ~ q2(X0,a,X0),
    inference(resolution,[status(thm)],[f1395,f388]) ).

fof(f1406,plain,
    ~ p1(a,a,a),
    inference(resolution,[status(thm)],[f1398,f692]) ).

fof(f1409,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f1406,f942]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN141-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36  % Computer : n015.cluster.edu
% 0.08/0.36  % Model    : x86_64 x86_64
% 0.08/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36  % Memory   : 8046.5625MB
% 0.08/0.36  % OS       : Linux 6.8.0-71-generic
% 0.08/0.36  % CPULimit : 300
% 0.08/0.36  % WCLimit  : 300
% 0.08/0.36  % DateTime : Mon Sep 21 10:47:51 UTC 2026
% 0.08/0.36  % CPUTime  : 
% 0.08/0.38  % Drodi V4.1.1
% 0.08/0.43  % Refutation found
% 0.08/0.43  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.43  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.46  % Elapsed time: 0.096128 seconds
% 0.08/0.46  % CPU time: 0.372112 seconds
% 0.08/0.46  % Total memory used: 73.814 MB
% 0.08/0.46  % Net memory used: 73.329 MB
%------------------------------------------------------------------------------