↑ Up

Drodi---4.1.1.UNS-CRf.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : SYN142-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n004.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 0.11s 0.49s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   33
% Syntax   : Number of formulae    :  130 (  45 unt;   0 def)
%            Number of atoms       :  286 (   0 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  314 ( 158   ~; 156   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   24 (  23 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :  235 ( 235   !;   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(f30,axiom,
    n0(e,e),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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

fof(f34,axiom,
    n0(c,d),
    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(f43,axiom,
    ! [B,C] :
      ( ~ m0(C,C,B)
      | m1(B,C,B) ),
    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(f107,axiom,
    ! [B,C] :
      ( ~ p0(C,B)
      | p1(B,B,C) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f120,axiom,
    ! [H,I,J,A] :
      ( ~ p1(J,H,A)
      | ~ m0(J,H,A)
      | p1(H,I,J) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f123,axiom,
    ! [B,C] :
      ( ~ p0(C,B)
      | p1(B,B,B) ),
    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(f175,axiom,
    ! [A,B,C] :
      ( ~ p1(B,C,A)
      | n2(A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f184,axiom,
    ! [C,D,E,F] :
      ( ~ p2(C,D,C)
      | ~ l1(E,F)
      | ~ p1(C,E,F)
      | p2(C,D,D) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f214,axiom,
    ! [D,E] :
      ( ~ m1(E,D,E)
      | p2(D,E,D) ),
    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(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(f274,axiom,
    ! [A] :
      ( ~ n2(A)
      | m3(A,A,A) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f289,axiom,
    ! [A,B,C,D] :
      ( ~ p2(A,B,D)
      | ~ m3(B,C,D)
      | p3(A,B,B) ),
    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(d,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(f399,plain,
    n0(e,e),
    inference(cnf_transformation,[status(thm)],[f30]) ).

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

fof(f403,plain,
    n0(c,d),
    inference(cnf_transformation,[status(thm)],[f34]) ).

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(f416,plain,
    ! [X0,X1] :
      ( ~ m0(X1,X1,X0)
      | m1(X0,X1,X0) ),
    inference(cnf_transformation,[status(thm)],[f43]) ).

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(f518,plain,
    ! [X0,X1] :
      ( ~ p0(X1,X0)
      | p1(X0,X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f107]) ).

fof(f538,plain,
    ! [H,J,A] :
      ( ~ p1(J,H,A)
      | ~ m0(J,H,A)
      | ! [I] : p1(H,I,J) ),
    inference(miniscoping,[status(thm)],[f120]) ).

fof(f539,plain,
    ! [X0,X1,X2,X3] :
      ( ~ p1(X2,X0,X3)
      | ~ m0(X2,X0,X3)
      | p1(X0,X1,X2) ),
    inference(cnf_transformation,[status(thm)],[f538]) ).

fof(f544,plain,
    ! [B] :
      ( ! [C] : ~ p0(C,B)
      | p1(B,B,B) ),
    inference(miniscoping,[status(thm)],[f123]) ).

fof(f545,plain,
    ! [X0,X1] :
      ( ~ p0(X1,X0)
      | p1(X0,X0,X0) ),
    inference(cnf_transformation,[status(thm)],[f544]) ).

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(f626,plain,
    ! [A] :
      ( ! [B,C] : ~ p1(B,C,A)
      | n2(A) ),
    inference(miniscoping,[status(thm)],[f175]) ).

fof(f627,plain,
    ! [X0,X1,X2] :
      ( ~ p1(X1,X2,X0)
      | n2(X0) ),
    inference(cnf_transformation,[status(thm)],[f626]) ).

fof(f639,plain,
    ! [C,D] :
      ( ~ p2(C,D,C)
      | ! [E,F] :
          ( ~ l1(E,F)
          | ~ p1(C,E,F)
          | p2(C,D,D) ) ),
    inference(miniscoping,[status(thm)],[f184]) ).

fof(f640,plain,
    ! [X0,X1,X2,X3] :
      ( ~ p2(X0,X1,X0)
      | ~ l1(X2,X3)
      | ~ p1(X0,X2,X3)
      | p2(X0,X1,X1) ),
    inference(cnf_transformation,[status(thm)],[f639]) ).

fof(f685,plain,
    ! [X0,X1] :
      ( ~ m1(X1,X0,X1)
      | p2(X0,X1,X0) ),
    inference(cnf_transformation,[status(thm)],[f214]) ).

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(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(f774,plain,
    ! [X0] :
      ( ~ n2(X0)
      | m3(X0,X0,X0) ),
    inference(cnf_transformation,[status(thm)],[f274]) ).

fof(f795,plain,
    ! [A,B,D] :
      ( ~ p2(A,B,D)
      | ! [C] : ~ m3(B,C,D)
      | p3(A,B,B) ),
    inference(miniscoping,[status(thm)],[f289]) ).

fof(f796,plain,
    ! [X0,X1,X2,X3] :
      ( ~ p2(X0,X1,X3)
      | ~ m3(X1,X2,X3)
      | p3(X0,X1,X1) ),
    inference(cnf_transformation,[status(thm)],[f795]) ).

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(d,X0),
    inference(cnf_transformation,[status(thm)],[f369]) ).

fof(f935,plain,
    l1(a,a),
    inference(resolution,[status(thm)],[f411,f406]) ).

fof(f936,plain,
    l1(d,d),
    inference(resolution,[status(thm)],[f411,f403]) ).

fof(f949,plain,
    ! [X0] : m1(X0,d,X0),
    inference(resolution,[status(thm)],[f416,f388]) ).

fof(f1036,plain,
    s1(b),
    inference(resolution,[status(thm)],[f607,f383]) ).

fof(f1043,plain,
    ! [X0,X1] :
      ( ~ p0(b,X1)
      | ~ l0(X0)
      | n1(X0,X1,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f489,f374]) ).

fof(f1044,plain,
    ! [X0,X1] :
      ( ~ l0(X0)
      | n1(X0,X1,X0) ),
    inference(resolution,[status(thm)],[f1043,f383]) ).

fof(f1053,plain,
    ! [X0,X1] :
      ( ~ n1(X0,X1,X0)
      | ~ l1(a,X0)
      | n1(X0,X1,X1) ),
    inference(resolution,[status(thm)],[f496,f389]) ).

fof(f1111,plain,
    ! [X0] : p1(X0,X0,b),
    inference(resolution,[status(thm)],[f518,f383]) ).

fof(f1134,plain,
    ! [X0,X1] :
      ( ~ m0(X0,X0,b)
      | p1(X0,X1,X0) ),
    inference(resolution,[status(thm)],[f539,f1111]) ).

fof(f1146,plain,
    ! [X0] : p1(X0,X0,X0),
    inference(resolution,[status(thm)],[f545,f383]) ).

fof(f1150,plain,
    ! [X0] : n2(X0),
    inference(resolution,[status(thm)],[f1146,f627]) ).

fof(f1168,plain,
    ! [X0] : m3(X0,X0,X0),
    inference(forward_subsumption_resolution,[status(thm)],[f774,f1150]) ).

fof(f1220,plain,
    ! [X0,X1] :
      ( ~ q0(X0,X1)
      | s1(X0) ),
    inference(resolution,[status(thm)],[f609,f1036]) ).

fof(f1231,plain,
    ! [X0] : s1(X0),
    inference(resolution,[status(thm)],[f1220,f386]) ).

fof(f1236,plain,
    ! [X0,X1] :
      ( ~ l2(X1,X1)
      | ~ n0(e,X1)
      | l2(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f617,f1231]) ).

fof(f1237,plain,
    ! [X0] :
      ( ~ l2(e,e)
      | l2(X0,e) ),
    inference(resolution,[status(thm)],[f1236,f399]) ).

fof(f1239,plain,
    ! [X0,X1,X2,X3] :
      ( ~ m0(X2,X3,X0)
      | ~ p0(X1,X1)
      | l2(X0,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f620,f1231]) ).

fof(f1240,plain,
    ! [X0,X1,X2] :
      ( ~ m0(X1,X2,X0)
      | l2(X0,X0) ),
    inference(resolution,[status(thm)],[f1239,f383]) ).

fof(f1258,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1,X0)
      | ~ p1(X0,d,d)
      | p2(X0,X1,X1) ),
    inference(resolution,[status(thm)],[f640,f936]) ).

fof(f1286,plain,
    ! [X0] : p2(d,X0,d),
    inference(resolution,[status(thm)],[f685,f949]) ).

fof(f1288,plain,
    ! [X0,X1] :
      ( ~ k0(X1)
      | q2(X0,X1,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[f687,f1146]) ).

fof(f1289,plain,
    ! [X0] : q2(X0,b,b),
    inference(resolution,[status(thm)],[f1288,f401]) ).

fof(f1305,plain,
    ! [X0] :
      ( ~ n1(X0,b,b)
      | ~ p1(b,b,b)
      | q2(b,X0,b) ),
    inference(resolution,[status(thm)],[f693,f1289]) ).

fof(f1308,plain,
    ! [X0] :
      ( ~ n1(X0,b,b)
      | q2(b,X0,b) ),
    inference(forward_subsumption_resolution,[status(thm)],[f1305,f1111]) ).

fof(f1332,plain,
    ! [X0] :
      ( ~ q2(b,X0,b)
      | s2(X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f704,f1231]) ).

fof(f1383,plain,
    ! [X0] : n1(a,X0,a),
    inference(resolution,[status(thm)],[f1044,f389]) ).

fof(f1399,plain,
    ! [X0,X1] :
      ( ~ p2(X0,X1,X1)
      | p3(X0,X1,X1) ),
    inference(resolution,[status(thm)],[f796,f1168]) ).

fof(f1456,plain,
    ! [X0,X1] :
      ( ~ p3(X0,d,X1)
      | s4(d) ),
    inference(resolution,[status(thm)],[f874,f936]) ).

fof(f1547,plain,
    ! [X0] :
      ( ~ n1(a,X0,a)
      | n1(a,X0,X0) ),
    inference(resolution,[status(thm)],[f1053,f935]) ).

fof(f1548,plain,
    ! [X0] : n1(a,X0,X0),
    inference(forward_subsumption_resolution,[status(thm)],[f1547,f1383]) ).

fof(f1627,plain,
    ! [X0] : l2(X0,X0),
    inference(resolution,[status(thm)],[f1240,f388]) ).

fof(f1637,plain,
    ! [X0] : l2(X0,e),
    inference(backward_subsumption_resolution,[status(thm)],[f1237,f1627]) ).

fof(f1781,plain,
    ! [X0] : p1(d,X0,d),
    inference(resolution,[status(thm)],[f1134,f388]) ).

fof(f1803,plain,
    ! [X0] :
      ( ~ p2(d,X0,d)
      | p2(d,X0,X0) ),
    inference(resolution,[status(thm)],[f1258,f1781]) ).

fof(f1805,plain,
    ! [X0] : p2(d,X0,X0),
    inference(forward_subsumption_resolution,[status(thm)],[f1803,f1286]) ).

fof(f1815,plain,
    ! [X0] : p3(d,X0,X0),
    inference(resolution,[status(thm)],[f1805,f1399]) ).

fof(f1881,plain,
    q2(b,a,b),
    inference(resolution,[status(thm)],[f1308,f1548]) ).

fof(f1971,plain,
    s4(d),
    inference(resolution,[status(thm)],[f1456,f1815]) ).

fof(f2326,plain,
    s2(a),
    inference(resolution,[status(thm)],[f1881,f1332]) ).

fof(f2347,plain,
    ! [X0,X1,X2] :
      ( ~ m0(X1,X2,X0)
      | ~ q2(X1,a,X1)
      | s3(a,X0) ),
    inference(resolution,[status(thm)],[f2326,f831]) ).

fof(f2708,plain,
    ! [X0,X1] :
      ( ~ m0(b,X1,X0)
      | s3(a,X0) ),
    inference(resolution,[status(thm)],[f2347,f1881]) ).

fof(f2931,plain,
    ! [X0] : s3(a,X0),
    inference(resolution,[status(thm)],[f2708,f388]) ).

fof(f2937,plain,
    ! [X0,X1,X2] :
      ( ~ l2(X2,X1)
      | m4(X0,X1) ),
    inference(backward_subsumption_resolution,[status(thm)],[f841,f2931]) ).

fof(f2938,plain,
    ! [X0] : m4(X0,e),
    inference(resolution,[status(thm)],[f2937,f1637]) ).

fof(f2941,plain,
    ! [X0] :
      ( ~ s4(X0)
      | m5(X0,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[f884,f2938]) ).

fof(f2944,plain,
    m5(d,d),
    inference(resolution,[status(thm)],[f2941,f1971]) ).

fof(f2948,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f2944,f924]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN142-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.36  % Computer : n004.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 : Mon Sep 21 10:44:35 UTC 2026
% 0.11/0.37  % CPUTime  : 
% 0.11/0.39  % Drodi V4.1.1
% 0.11/0.49  % Refutation found
% 0.11/0.49  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.49  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.16/1.71  % Elapsed time: 1.130107 seconds
% 2.16/1.71  % CPU time: 0.803873 seconds
% 2.16/1.71  % Total memory used: 78.246 MB
% 2.16/1.71  % Net memory used: 77.072 MB
%------------------------------------------------------------------------------