%------------------------------------------------------------------------------
% File     : iProver-SAT---3.8
% Problem  : SYO844+1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d SAT

% Computer : n014.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  : 300s
% DateTime : Fri Sep  1 04:44:23 EDT 2023

% Result   : CounterSatisfiable 3.62s 1.14s
% Output   : Saturation 4.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( ain(X1,apow(X0))
    <=> asubq(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).

fof(f2,axiom,
    ! [X0,X1,X2] :
      ( ain(X2,asm(X0,X1))
    <=> ( ~ ain(X2,X1)
        & ain(X2,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ain(X1,apow(X0))
     => asubq(X1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).

fof(f4,axiom,
    ! [X0,X1,X2] :
      ( ain(X2,aun(X0,X1))
     => ( ain(X2,X1)
        | ain(X2,X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).

fof(f5,axiom,
    ! [X0,X1,X2] :
      ( ain(X2,asm(X0,X1))
     => ain(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).

fof(f6,axiom,
    ! [X0,X1,X2] :
      ( asubq(X0,X2)
     => ( asubq(X1,X2)
       => asubq(aun(X0,X1),X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).

fof(f7,axiom,
    ! [X0,X1,X2] :
      ( ain(X2,X1)
     => ~ ain(X2,asm(X0,X1)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).

fof(f11,axiom,
    ! [X0,X1,X2] :
      ( asubq(X2,aun(X0,X1))
     => ! [X3] :
          ( ain(X3,X1)
         => ( ~ ain(X3,X2)
           => ( aal4(X2)
             => ( aal3(X1)
                | aal3(X0) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).

fof(f12,axiom,
    ~ asubq(a2,a1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).

fof(f13,axiom,
    ! [X0] :
      ( ain(a0,X0)
     => asubq(a1,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).

fof(f14,axiom,
    ain(a0,apow(a2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).

fof(f15,axiom,
    ~ ain(a1,apow(asing(a1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).

fof(f16,axiom,
    ~ ain(asing(a1),asing(a2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).

fof(f17,axiom,
    asubq(asing(a1),aun(asing(a1),asing(asing(a1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).

fof(f18,axiom,
    ~ ain(asm(a3,asing(a1)),asing(asing(a1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).

fof(f19,axiom,
    asubq(asing(asing(a1)),aun(asing(a1),asing(asing(a1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).

fof(f20,axiom,
    ~ ain(asing(a1),asm(apow(a2),apow(asing(a1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).

fof(f21,axiom,
    ! [X0] :
      ( asubq(X0,apow(asing(a1)))
     => ( ain(asing(a1),X0)
       => ( ain(a0,X0)
         => apow(asing(a1)) = X0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).

fof(f22,axiom,
    apow(asing(a1)) != a3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).

fof(f23,axiom,
    ~ ain(a3,asm(apow(a2),asing(a1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).

fof(f24,axiom,
    apow(a2) != asm(apow(a2),a2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).

fof(f25,axiom,
    ain(asing(a1),aun(asing(asing(a1)),asing(asing(asing(a1))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).

fof(f26,axiom,
    ain(asing(asing(a1)),asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1)))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).

fof(f27,axiom,
    ~ ain(asing(a1),aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).

fof(f28,axiom,
    ain(a0,asm(a4,asing(a1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).

fof(f29,axiom,
    ~ ain(apow(a2),aun(apow(a2),asing(asing(a2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).

fof(f30,axiom,
    ain(asing(a2),aun(asing(a2),apow(asing(a2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).

fof(f31,axiom,
    ain(a0,aun(a1,asing(a3))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).

fof(f32,axiom,
    ~ ain(asm(apow(a2),a2),a4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax32) ).

fof(f33,axiom,
    ~ ain(a0,aun(asing(asing(a1)),asing(a3))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax33) ).

fof(f34,axiom,
    ain(a2,asm(a4,apow(asing(a2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax34) ).

fof(f35,axiom,
    ain(a3,aun(apow(asing(a2)),asing(a3))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax35) ).

fof(f36,axiom,
    ain(a1,asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).

fof(f37,axiom,
    ain(asing(a2),asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).

fof(f38,axiom,
    ain(a3,aun(asing(asing(a2)),a4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).

fof(f39,axiom,
    ain(a2,aun(asing(asing(a2)),a4)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).

fof(f40,axiom,
    ain(a1,aun(asm(apow(a2),apow(asing(a1))),aun(asing(asing(a2)),asing(apow(a2))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax40) ).

fof(f41,axiom,
    ain(a1,aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax41) ).

fof(f42,axiom,
    ~ asubq(aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1)))),a3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).

fof(f43,axiom,
    asubq(a3,aun(a3,asing(apow(asing(a1))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax43) ).

fof(f44,axiom,
    asubq(a3,aun(a3,asing(apow(a2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax44) ).

fof(f45,axiom,
    asubq(asm(apow(a2),apow(asing(a1))),aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).

fof(f46,axiom,
    ~ asubq(aun(asing(asing(a2)),aun(a4,asing(apow(a2)))),aun(a4,asing(apow(a2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).

fof(f47,axiom,
    asubq(asm(apow(a2),apow(asing(a1))),asm(a3,asing(a0))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax47) ).

fof(f48,axiom,
    ! [X0] :
      ( ain(X0,asm(apow(a2),asing(a2)))
     => ( asing(a1) != X0
       => ain(X0,a2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax48) ).

fof(f49,axiom,
    asubq(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).

fof(f50,axiom,
    asubq(asm(asm(apow(a2),a2),asing(a2)),asing(asing(a1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax50) ).

fof(f51,axiom,
    asubq(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),aun(asing(a1),asing(asing(a1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).

fof(f52,axiom,
    a3 = asm(apow(a2),asing(asing(a1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).

fof(f53,axiom,
    aun(asing(asing(a1)),asing(asing(asing(a1)))) = asm(asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1))))),asing(a0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).

fof(f54,axiom,
    asm(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(a2)) = aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).

fof(f55,axiom,
    apow(a2) = asm(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(asing(asing(a1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).

fof(f56,axiom,
    ! [X0] :
      ( ain(X0,asm(a4,a2))
     => ( a3 != X0
       => ain(X0,asing(a2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).

fof(f57,axiom,
    ! [X0] :
      ( ain(X0,asm(a4,asing(a1)))
     => ( a0 != X0
       => ain(X0,asm(a4,a2)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).

fof(f58,axiom,
    asm(apow(a2),apow(asing(a1))) = asm(asm(a4,apow(asing(a2))),asing(a3)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).

fof(f59,axiom,
    asm(a4,apow(asing(a2))) = asm(a4,asing(a0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax59) ).

fof(f60,axiom,
    asubq(asm(a3,asing(a1)),aun(a4,asing(apow(a2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).

fof(f61,axiom,
    asubq(asm(apow(a2),apow(asing(a1))),a4),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).

fof(f62,axiom,
    ! [X0] :
      ( ain(X0,aun(asing(asing(a1)),aun(asing(asing(a2)),a4)))
     => ( ain(X0,aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))))
       => ~ ain(X0,asing(apow(a2))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).

fof(f63,axiom,
    asubq(asm(a3,asing(a1)),aint(aun(asing(asing(a1)),a4),aun(asing(a2),apow(asing(a2))))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax63) ).

fof(f64,axiom,
    asm(a3,asing(a1)) = aint(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).

fof(f65,axiom,
    ~ aal3(aun(a1,asing(a3))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).

fof(f66,axiom,
    ! [X0] :
      ( ain(X0,asm(apow(a2),asing(a2)))
     => ~ aal3(asm(asm(apow(a2),asing(a2)),asing(X0))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).

fof(f67,axiom,
    ~ aal4(asm(apow(a2),apow(asing(a2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).

fof(f72,axiom,
    aal4(aun(a3,asing(asm(apow(a2),a2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).

fof(f80,axiom,
    ! [X0] :
      ( ain(X0,a4)
     => ( ~ ain(X0,asing(a1))
       => ( ain(X0,aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))))
         => ain(X0,aun(apow(asing(a2)),asing(a3))) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).

fof(f81,axiom,
    ! [X0] :
      ( ain(X0,apow(asing(a2)))
     => ( ~ ain(X0,asing(asing(a2)))
       => ain(X0,aun(a3,asing(apow(a2)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).

fof(f82,axiom,
    asubq(asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(asing(a2))),aun(a3,asing(apow(a2)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax82) ).

fof(f84,conjecture,
    ~ asubq(asm(apow(a2),asing(a2)),aun(asing(a1),asing(asing(a1)))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj) ).

fof(f85,negated_conjecture,
    ~ ~ asubq(asm(apow(a2),asing(a2)),aun(asing(a1),asing(asing(a1)))),
    inference(negated_conjecture,[],[f84]) ).

fof(f86,plain,
    asubq(asm(apow(a2),asing(a2)),aun(asing(a1),asing(asing(a1)))),
    inference(flattening,[],[f85]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( asubq(X1,X0)
      | ~ ain(X1,apow(X0)) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f103,plain,
    ! [X0,X1,X2] :
      ( ain(X2,X1)
      | ain(X2,X0)
      | ~ ain(X2,aun(X0,X1)) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f104,plain,
    ! [X0,X1,X2] :
      ( ain(X2,X1)
      | ain(X2,X0)
      | ~ ain(X2,aun(X0,X1)) ),
    inference(flattening,[],[f103]) ).

fof(f105,plain,
    ! [X0,X1,X2] :
      ( ain(X2,X0)
      | ~ ain(X2,asm(X0,X1)) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f106,plain,
    ! [X0,X1,X2] :
      ( asubq(aun(X0,X1),X2)
      | ~ asubq(X1,X2)
      | ~ asubq(X0,X2) ),
    inference(ennf_transformation,[],[f6]) ).

fof(f107,plain,
    ! [X0,X1,X2] :
      ( asubq(aun(X0,X1),X2)
      | ~ asubq(X1,X2)
      | ~ asubq(X0,X2) ),
    inference(flattening,[],[f106]) ).

fof(f108,plain,
    ! [X0,X1,X2] :
      ( ~ ain(X2,asm(X0,X1))
      | ~ ain(X2,X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f109,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( aal3(X1)
          | aal3(X0)
          | ~ aal4(X2)
          | ain(X3,X2)
          | ~ ain(X3,X1) )
      | ~ asubq(X2,aun(X0,X1)) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f110,plain,
    ! [X0,X1,X2] :
      ( ! [X3] :
          ( aal3(X1)
          | aal3(X0)
          | ~ aal4(X2)
          | ain(X3,X2)
          | ~ ain(X3,X1) )
      | ~ asubq(X2,aun(X0,X1)) ),
    inference(flattening,[],[f109]) ).

fof(f111,plain,
    ! [X0] :
      ( asubq(a1,X0)
      | ~ ain(a0,X0) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f112,plain,
    ! [X0] :
      ( apow(asing(a1)) = X0
      | ~ ain(a0,X0)
      | ~ ain(asing(a1),X0)
      | ~ asubq(X0,apow(asing(a1))) ),
    inference(ennf_transformation,[],[f21]) ).

fof(f113,plain,
    ! [X0] :
      ( apow(asing(a1)) = X0
      | ~ ain(a0,X0)
      | ~ ain(asing(a1),X0)
      | ~ asubq(X0,apow(asing(a1))) ),
    inference(flattening,[],[f112]) ).

fof(f114,plain,
    ! [X0] :
      ( ain(X0,a2)
      | asing(a1) = X0
      | ~ ain(X0,asm(apow(a2),asing(a2))) ),
    inference(ennf_transformation,[],[f48]) ).

fof(f115,plain,
    ! [X0] :
      ( ain(X0,a2)
      | asing(a1) = X0
      | ~ ain(X0,asm(apow(a2),asing(a2))) ),
    inference(flattening,[],[f114]) ).

fof(f116,plain,
    ! [X0] :
      ( ain(X0,asing(a2))
      | a3 = X0
      | ~ ain(X0,asm(a4,a2)) ),
    inference(ennf_transformation,[],[f56]) ).

fof(f117,plain,
    ! [X0] :
      ( ain(X0,asing(a2))
      | a3 = X0
      | ~ ain(X0,asm(a4,a2)) ),
    inference(flattening,[],[f116]) ).

fof(f118,plain,
    ! [X0] :
      ( ain(X0,asm(a4,a2))
      | a0 = X0
      | ~ ain(X0,asm(a4,asing(a1))) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f119,plain,
    ! [X0] :
      ( ain(X0,asm(a4,a2))
      | a0 = X0
      | ~ ain(X0,asm(a4,asing(a1))) ),
    inference(flattening,[],[f118]) ).

fof(f120,plain,
    ! [X0] :
      ( ~ ain(X0,asing(apow(a2)))
      | ~ ain(X0,aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))))
      | ~ ain(X0,aun(asing(asing(a1)),aun(asing(asing(a2)),a4))) ),
    inference(ennf_transformation,[],[f62]) ).

fof(f121,plain,
    ! [X0] :
      ( ~ ain(X0,asing(apow(a2)))
      | ~ ain(X0,aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))))
      | ~ ain(X0,aun(asing(asing(a1)),aun(asing(asing(a2)),a4))) ),
    inference(flattening,[],[f120]) ).

fof(f122,plain,
    ! [X0] :
      ( ~ aal3(asm(asm(apow(a2),asing(a2)),asing(X0)))
      | ~ ain(X0,asm(apow(a2),asing(a2))) ),
    inference(ennf_transformation,[],[f66]) ).

fof(f123,plain,
    ! [X0] :
      ( ain(X0,aun(apow(asing(a2)),asing(a3)))
      | ~ ain(X0,aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))))
      | ain(X0,asing(a1))
      | ~ ain(X0,a4) ),
    inference(ennf_transformation,[],[f80]) ).

fof(f124,plain,
    ! [X0] :
      ( ain(X0,aun(apow(asing(a2)),asing(a3)))
      | ~ ain(X0,aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))))
      | ain(X0,asing(a1))
      | ~ ain(X0,a4) ),
    inference(flattening,[],[f123]) ).

fof(f125,plain,
    ! [X0] :
      ( ain(X0,aun(a3,asing(apow(a2))))
      | ain(X0,asing(asing(a2)))
      | ~ ain(X0,apow(asing(a2))) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f126,plain,
    ! [X0] :
      ( ain(X0,aun(a3,asing(apow(a2))))
      | ain(X0,asing(asing(a2)))
      | ~ ain(X0,apow(asing(a2))) ),
    inference(flattening,[],[f125]) ).

fof(f127,plain,
    ! [X0,X1] :
      ( ( ain(X1,apow(X0))
        | ~ asubq(X1,X0) )
      & ( asubq(X1,X0)
        | ~ ain(X1,apow(X0)) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f128,plain,
    ! [X0,X1,X2] :
      ( ( ain(X2,asm(X0,X1))
        | ain(X2,X1)
        | ~ ain(X2,X0) )
      & ( ( ~ ain(X2,X1)
          & ain(X2,X0) )
        | ~ ain(X2,asm(X0,X1)) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f129,plain,
    ! [X0,X1,X2] :
      ( ( ain(X2,asm(X0,X1))
        | ain(X2,X1)
        | ~ ain(X2,X0) )
      & ( ( ~ ain(X2,X1)
          & ain(X2,X0) )
        | ~ ain(X2,asm(X0,X1)) ) ),
    inference(flattening,[],[f128]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( ain(X1,apow(X0))
      | ~ asubq(X1,X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f134,plain,
    ! [X2,X0,X1] :
      ( ain(X2,asm(X0,X1))
      | ain(X2,X1)
      | ~ ain(X2,X0) ),
    inference(cnf_transformation,[],[f129]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( asubq(X1,X0)
      | ~ ain(X1,apow(X0)) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f136,plain,
    ! [X2,X0,X1] :
      ( ain(X2,X1)
      | ain(X2,X0)
      | ~ ain(X2,aun(X0,X1)) ),
    inference(cnf_transformation,[],[f104]) ).

fof(f137,plain,
    ! [X2,X0,X1] :
      ( ain(X2,X0)
      | ~ ain(X2,asm(X0,X1)) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f138,plain,
    ! [X2,X0,X1] :
      ( asubq(aun(X0,X1),X2)
      | ~ asubq(X1,X2)
      | ~ asubq(X0,X2) ),
    inference(cnf_transformation,[],[f107]) ).

fof(f139,plain,
    ! [X2,X0,X1] :
      ( ~ ain(X2,asm(X0,X1))
      | ~ ain(X2,X1) ),
    inference(cnf_transformation,[],[f108]) ).

fof(f140,plain,
    ! [X2,X3,X0,X1] :
      ( aal3(X1)
      | aal3(X0)
      | ~ aal4(X2)
      | ain(X3,X2)
      | ~ ain(X3,X1)
      | ~ asubq(X2,aun(X0,X1)) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f141,plain,
    ~ asubq(a2,a1),
    inference(cnf_transformation,[],[f12]) ).

fof(f142,plain,
    ! [X0] :
      ( asubq(a1,X0)
      | ~ ain(a0,X0) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f143,plain,
    ain(a0,apow(a2)),
    inference(cnf_transformation,[],[f14]) ).

fof(f144,plain,
    ~ ain(a1,apow(asing(a1))),
    inference(cnf_transformation,[],[f15]) ).

fof(f145,plain,
    ~ ain(asing(a1),asing(a2)),
    inference(cnf_transformation,[],[f16]) ).

fof(f146,plain,
    asubq(asing(a1),aun(asing(a1),asing(asing(a1)))),
    inference(cnf_transformation,[],[f17]) ).

fof(f147,plain,
    ~ ain(asm(a3,asing(a1)),asing(asing(a1))),
    inference(cnf_transformation,[],[f18]) ).

fof(f148,plain,
    asubq(asing(asing(a1)),aun(asing(a1),asing(asing(a1)))),
    inference(cnf_transformation,[],[f19]) ).

fof(f149,plain,
    ~ ain(asing(a1),asm(apow(a2),apow(asing(a1)))),
    inference(cnf_transformation,[],[f20]) ).

fof(f150,plain,
    ! [X0] :
      ( apow(asing(a1)) = X0
      | ~ ain(a0,X0)
      | ~ ain(asing(a1),X0)
      | ~ asubq(X0,apow(asing(a1))) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f151,plain,
    apow(asing(a1)) != a3,
    inference(cnf_transformation,[],[f22]) ).

fof(f152,plain,
    ~ ain(a3,asm(apow(a2),asing(a1))),
    inference(cnf_transformation,[],[f23]) ).

fof(f153,plain,
    apow(a2) != asm(apow(a2),a2),
    inference(cnf_transformation,[],[f24]) ).

fof(f154,plain,
    ain(asing(a1),aun(asing(asing(a1)),asing(asing(asing(a1))))),
    inference(cnf_transformation,[],[f25]) ).

fof(f155,plain,
    ain(asing(asing(a1)),asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1)))))),
    inference(cnf_transformation,[],[f26]) ).

fof(f156,plain,
    ~ ain(asing(a1),aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1))))),
    inference(cnf_transformation,[],[f27]) ).

fof(f157,plain,
    ain(a0,asm(a4,asing(a1))),
    inference(cnf_transformation,[],[f28]) ).

fof(f158,plain,
    ~ ain(apow(a2),aun(apow(a2),asing(asing(a2)))),
    inference(cnf_transformation,[],[f29]) ).

fof(f159,plain,
    ain(asing(a2),aun(asing(a2),apow(asing(a2)))),
    inference(cnf_transformation,[],[f30]) ).

fof(f160,plain,
    ain(a0,aun(a1,asing(a3))),
    inference(cnf_transformation,[],[f31]) ).

fof(f161,plain,
    ~ ain(asm(apow(a2),a2),a4),
    inference(cnf_transformation,[],[f32]) ).

fof(f162,plain,
    ~ ain(a0,aun(asing(asing(a1)),asing(a3))),
    inference(cnf_transformation,[],[f33]) ).

fof(f163,plain,
    ain(a2,asm(a4,apow(asing(a2)))),
    inference(cnf_transformation,[],[f34]) ).

fof(f164,plain,
    ain(a3,aun(apow(asing(a2)),asing(a3))),
    inference(cnf_transformation,[],[f35]) ).

fof(f165,plain,
    ain(a1,asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))),
    inference(cnf_transformation,[],[f36]) ).

fof(f166,plain,
    ain(asing(a2),asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))),
    inference(cnf_transformation,[],[f37]) ).

fof(f167,plain,
    ain(a3,aun(asing(asing(a2)),a4)),
    inference(cnf_transformation,[],[f38]) ).

fof(f168,plain,
    ain(a2,aun(asing(asing(a2)),a4)),
    inference(cnf_transformation,[],[f39]) ).

fof(f169,plain,
    ain(a1,aun(asm(apow(a2),apow(asing(a1))),aun(asing(asing(a2)),asing(apow(a2))))),
    inference(cnf_transformation,[],[f40]) ).

fof(f170,plain,
    ain(a1,aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2))))),
    inference(cnf_transformation,[],[f41]) ).

fof(f171,plain,
    ~ asubq(aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1)))),a3),
    inference(cnf_transformation,[],[f42]) ).

fof(f172,plain,
    asubq(a3,aun(a3,asing(apow(asing(a1))))),
    inference(cnf_transformation,[],[f43]) ).

fof(f173,plain,
    asubq(a3,aun(a3,asing(apow(a2)))),
    inference(cnf_transformation,[],[f44]) ).

fof(f174,plain,
    asubq(asm(apow(a2),apow(asing(a1))),aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))),
    inference(cnf_transformation,[],[f45]) ).

fof(f175,plain,
    ~ asubq(aun(asing(asing(a2)),aun(a4,asing(apow(a2)))),aun(a4,asing(apow(a2)))),
    inference(cnf_transformation,[],[f46]) ).

fof(f176,plain,
    asubq(asm(apow(a2),apow(asing(a1))),asm(a3,asing(a0))),
    inference(cnf_transformation,[],[f47]) ).

fof(f177,plain,
    ! [X0] :
      ( ain(X0,a2)
      | asing(a1) = X0
      | ~ ain(X0,asm(apow(a2),asing(a2))) ),
    inference(cnf_transformation,[],[f115]) ).

fof(f178,plain,
    asubq(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a2)),
    inference(cnf_transformation,[],[f49]) ).

fof(f179,plain,
    asubq(asm(asm(apow(a2),a2),asing(a2)),asing(asing(a1))),
    inference(cnf_transformation,[],[f50]) ).

fof(f180,plain,
    asubq(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),aun(asing(a1),asing(asing(a1)))),
    inference(cnf_transformation,[],[f51]) ).

fof(f181,plain,
    a3 = asm(apow(a2),asing(asing(a1))),
    inference(cnf_transformation,[],[f52]) ).

fof(f182,plain,
    aun(asing(asing(a1)),asing(asing(asing(a1)))) = asm(asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1))))),asing(a0)),
    inference(cnf_transformation,[],[f53]) ).

fof(f183,plain,
    asm(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(a2)) = aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),
    inference(cnf_transformation,[],[f54]) ).

fof(f184,plain,
    apow(a2) = asm(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(asing(asing(a1)))),
    inference(cnf_transformation,[],[f55]) ).

fof(f185,plain,
    ! [X0] :
      ( ain(X0,asing(a2))
      | a3 = X0
      | ~ ain(X0,asm(a4,a2)) ),
    inference(cnf_transformation,[],[f117]) ).

fof(f186,plain,
    ! [X0] :
      ( ain(X0,asm(a4,a2))
      | a0 = X0
      | ~ ain(X0,asm(a4,asing(a1))) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f187,plain,
    asm(apow(a2),apow(asing(a1))) = asm(asm(a4,apow(asing(a2))),asing(a3)),
    inference(cnf_transformation,[],[f58]) ).

fof(f188,plain,
    asm(a4,apow(asing(a2))) = asm(a4,asing(a0)),
    inference(cnf_transformation,[],[f59]) ).

fof(f189,plain,
    asubq(asm(a3,asing(a1)),aun(a4,asing(apow(a2)))),
    inference(cnf_transformation,[],[f60]) ).

fof(f190,plain,
    asubq(asm(apow(a2),apow(asing(a1))),a4),
    inference(cnf_transformation,[],[f61]) ).

fof(f191,plain,
    ! [X0] :
      ( ~ ain(X0,asing(apow(a2)))
      | ~ ain(X0,aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))))
      | ~ ain(X0,aun(asing(asing(a1)),aun(asing(asing(a2)),a4))) ),
    inference(cnf_transformation,[],[f121]) ).

fof(f192,plain,
    asubq(asm(a3,asing(a1)),aint(aun(asing(asing(a1)),a4),aun(asing(a2),apow(asing(a2))))),
    inference(cnf_transformation,[],[f63]) ).

fof(f193,plain,
    asm(a3,asing(a1)) = aint(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1))),
    inference(cnf_transformation,[],[f64]) ).

fof(f194,plain,
    ~ aal3(aun(a1,asing(a3))),
    inference(cnf_transformation,[],[f65]) ).

fof(f195,plain,
    ! [X0] :
      ( ~ aal3(asm(asm(apow(a2),asing(a2)),asing(X0)))
      | ~ ain(X0,asm(apow(a2),asing(a2))) ),
    inference(cnf_transformation,[],[f122]) ).

fof(f196,plain,
    ~ aal4(asm(apow(a2),apow(asing(a2)))),
    inference(cnf_transformation,[],[f67]) ).

fof(f197,plain,
    aal4(aun(a3,asing(asm(apow(a2),a2)))),
    inference(cnf_transformation,[],[f72]) ).

fof(f198,plain,
    ! [X0] :
      ( ain(X0,aun(apow(asing(a2)),asing(a3)))
      | ~ ain(X0,aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))))
      | ain(X0,asing(a1))
      | ~ ain(X0,a4) ),
    inference(cnf_transformation,[],[f124]) ).

fof(f199,plain,
    ! [X0] :
      ( ain(X0,aun(a3,asing(apow(a2))))
      | ain(X0,asing(asing(a2)))
      | ~ ain(X0,apow(asing(a2))) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f200,plain,
    asubq(asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(asing(a2))),aun(a3,asing(apow(a2)))),
    inference(cnf_transformation,[],[f82]) ).

fof(f201,plain,
    asubq(asm(apow(a2),asing(a2)),aun(asing(a1),asing(asing(a1)))),
    inference(cnf_transformation,[],[f86]) ).

cnf(c_49,plain,
    ( ~ asubq(X0,X1)
    | ain(X0,apow(X1)) ),
    inference(cnf_transformation,[],[f131]) ).

cnf(c_51,plain,
    ( ~ ain(X0,X1)
    | ain(X0,asm(X1,X2))
    | ain(X0,X2) ),
    inference(cnf_transformation,[],[f134]) ).

cnf(c_54,plain,
    ( ~ ain(X0,apow(X1))
    | asubq(X0,X1) ),
    inference(cnf_transformation,[],[f135]) ).

cnf(c_55,plain,
    ( ~ ain(X0,aun(X1,X2))
    | ain(X0,X1)
    | ain(X0,X2) ),
    inference(cnf_transformation,[],[f136]) ).

cnf(c_56,plain,
    ( ~ ain(X0,asm(X1,X2))
    | ain(X0,X1) ),
    inference(cnf_transformation,[],[f137]) ).

cnf(c_57,plain,
    ( ~ asubq(X0,X1)
    | ~ asubq(X2,X1)
    | asubq(aun(X2,X0),X1) ),
    inference(cnf_transformation,[],[f138]) ).

cnf(c_58,plain,
    ( ~ ain(X0,asm(X1,X2))
    | ~ ain(X0,X2) ),
    inference(cnf_transformation,[],[f139]) ).

cnf(c_59,plain,
    ( ~ asubq(X0,aun(X1,X2))
    | ~ ain(X3,X2)
    | ~ aal4(X0)
    | ain(X3,X0)
    | aal3(X1)
    | aal3(X2) ),
    inference(cnf_transformation,[],[f140]) ).

cnf(c_60,plain,
    ~ asubq(a2,a1),
    inference(cnf_transformation,[],[f141]) ).

cnf(c_61,plain,
    ( ~ ain(a0,X0)
    | asubq(a1,X0) ),
    inference(cnf_transformation,[],[f142]) ).

cnf(c_62,plain,
    ain(a0,apow(a2)),
    inference(cnf_transformation,[],[f143]) ).

cnf(c_63,plain,
    ~ ain(a1,apow(asing(a1))),
    inference(cnf_transformation,[],[f144]) ).

cnf(c_64,plain,
    ~ ain(asing(a1),asing(a2)),
    inference(cnf_transformation,[],[f145]) ).

cnf(c_65,plain,
    asubq(asing(a1),aun(asing(a1),asing(asing(a1)))),
    inference(cnf_transformation,[],[f146]) ).

cnf(c_66,plain,
    ~ ain(asm(a3,asing(a1)),asing(asing(a1))),
    inference(cnf_transformation,[],[f147]) ).

cnf(c_67,plain,
    asubq(asing(asing(a1)),aun(asing(a1),asing(asing(a1)))),
    inference(cnf_transformation,[],[f148]) ).

cnf(c_68,plain,
    ~ ain(asing(a1),asm(apow(a2),apow(asing(a1)))),
    inference(cnf_transformation,[],[f149]) ).

cnf(c_69,plain,
    ( ~ asubq(X0,apow(asing(a1)))
    | ~ ain(asing(a1),X0)
    | ~ ain(a0,X0)
    | apow(asing(a1)) = X0 ),
    inference(cnf_transformation,[],[f150]) ).

cnf(c_70,plain,
    apow(asing(a1)) != a3,
    inference(cnf_transformation,[],[f151]) ).

cnf(c_71,plain,
    ~ ain(a3,asm(apow(a2),asing(a1))),
    inference(cnf_transformation,[],[f152]) ).

cnf(c_72,plain,
    asm(apow(a2),a2) != apow(a2),
    inference(cnf_transformation,[],[f153]) ).

cnf(c_73,plain,
    ain(asing(a1),aun(asing(asing(a1)),asing(asing(asing(a1))))),
    inference(cnf_transformation,[],[f154]) ).

cnf(c_74,plain,
    ain(asing(asing(a1)),asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1)))))),
    inference(cnf_transformation,[],[f155]) ).

cnf(c_75,plain,
    ~ ain(asing(a1),aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1))))),
    inference(cnf_transformation,[],[f156]) ).

cnf(c_76,plain,
    ain(a0,asm(a4,asing(a1))),
    inference(cnf_transformation,[],[f157]) ).

cnf(c_77,plain,
    ~ ain(apow(a2),aun(apow(a2),asing(asing(a2)))),
    inference(cnf_transformation,[],[f158]) ).

cnf(c_78,plain,
    ain(asing(a2),aun(asing(a2),apow(asing(a2)))),
    inference(cnf_transformation,[],[f159]) ).

cnf(c_79,plain,
    ain(a0,aun(a1,asing(a3))),
    inference(cnf_transformation,[],[f160]) ).

cnf(c_80,plain,
    ~ ain(asm(apow(a2),a2),a4),
    inference(cnf_transformation,[],[f161]) ).

cnf(c_81,plain,
    ~ ain(a0,aun(asing(asing(a1)),asing(a3))),
    inference(cnf_transformation,[],[f162]) ).

cnf(c_82,plain,
    ain(a2,asm(a4,apow(asing(a2)))),
    inference(cnf_transformation,[],[f163]) ).

cnf(c_83,plain,
    ain(a3,aun(apow(asing(a2)),asing(a3))),
    inference(cnf_transformation,[],[f164]) ).

cnf(c_84,plain,
    ain(a1,asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))),
    inference(cnf_transformation,[],[f165]) ).

cnf(c_85,plain,
    ain(asing(a2),asm(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1)))),
    inference(cnf_transformation,[],[f166]) ).

cnf(c_86,plain,
    ain(a3,aun(asing(asing(a2)),a4)),
    inference(cnf_transformation,[],[f167]) ).

cnf(c_87,plain,
    ain(a2,aun(asing(asing(a2)),a4)),
    inference(cnf_transformation,[],[f168]) ).

cnf(c_88,plain,
    ain(a1,aun(asm(apow(a2),apow(asing(a1))),aun(asing(asing(a2)),asing(apow(a2))))),
    inference(cnf_transformation,[],[f169]) ).

cnf(c_89,plain,
    ain(a1,aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2))))),
    inference(cnf_transformation,[],[f170]) ).

cnf(c_90,plain,
    ~ asubq(aun(asm(apow(a2),apow(asing(a1))),apow(asing(asing(a1)))),a3),
    inference(cnf_transformation,[],[f171]) ).

cnf(c_91,plain,
    asubq(a3,aun(a3,asing(apow(asing(a1))))),
    inference(cnf_transformation,[],[f172]) ).

cnf(c_92,plain,
    asubq(a3,aun(a3,asing(apow(a2)))),
    inference(cnf_transformation,[],[f173]) ).

cnf(c_93,plain,
    asubq(asm(apow(a2),apow(asing(a1))),aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))),
    inference(cnf_transformation,[],[f174]) ).

cnf(c_94,plain,
    ~ asubq(aun(asing(asing(a2)),aun(a4,asing(apow(a2)))),aun(a4,asing(apow(a2)))),
    inference(cnf_transformation,[],[f175]) ).

cnf(c_95,plain,
    asubq(asm(apow(a2),apow(asing(a1))),asm(a3,asing(a0))),
    inference(cnf_transformation,[],[f176]) ).

cnf(c_96,plain,
    ( ~ ain(X0,asm(apow(a2),asing(a2)))
    | asing(a1) = X0
    | ain(X0,a2) ),
    inference(cnf_transformation,[],[f177]) ).

cnf(c_97,plain,
    asubq(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a2)),
    inference(cnf_transformation,[],[f178]) ).

cnf(c_98,plain,
    asubq(asm(asm(apow(a2),a2),asing(a2)),asing(asing(a1))),
    inference(cnf_transformation,[],[f179]) ).

cnf(c_99,plain,
    asubq(asm(asm(apow(a2),apow(asing(a2))),asing(a2)),aun(asing(a1),asing(asing(a1)))),
    inference(cnf_transformation,[],[f180]) ).

cnf(c_100,plain,
    asm(apow(a2),asing(asing(a1))) = a3,
    inference(cnf_transformation,[],[f181]) ).

cnf(c_101,plain,
    asm(asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1))))),asing(a0)) = aun(asing(asing(a1)),asing(asing(asing(a1)))),
    inference(cnf_transformation,[],[f182]) ).

cnf(c_102,plain,
    asm(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(a2)) = aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))),
    inference(cnf_transformation,[],[f183]) ).

cnf(c_103,plain,
    asm(aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))),asing(asing(asing(a1)))) = apow(a2),
    inference(cnf_transformation,[],[f184]) ).

cnf(c_104,plain,
    ( ~ ain(X0,asm(a4,a2))
    | X0 = a3
    | ain(X0,asing(a2)) ),
    inference(cnf_transformation,[],[f185]) ).

cnf(c_105,plain,
    ( ~ ain(X0,asm(a4,asing(a1)))
    | X0 = a0
    | ain(X0,asm(a4,a2)) ),
    inference(cnf_transformation,[],[f186]) ).

cnf(c_106,plain,
    asm(asm(a4,apow(asing(a2))),asing(a3)) = asm(apow(a2),apow(asing(a1))),
    inference(cnf_transformation,[],[f187]) ).

cnf(c_107,plain,
    asm(a4,apow(asing(a2))) = asm(a4,asing(a0)),
    inference(cnf_transformation,[],[f188]) ).

cnf(c_108,plain,
    asubq(asm(a3,asing(a1)),aun(a4,asing(apow(a2)))),
    inference(cnf_transformation,[],[f189]) ).

cnf(c_109,plain,
    asubq(asm(apow(a2),apow(asing(a1))),a4),
    inference(cnf_transformation,[],[f190]) ).

cnf(c_110,plain,
    ( ~ ain(X0,aun(asing(a2),aun(apow(asing(a2)),asing(apow(a2)))))
    | ~ ain(X0,aun(asing(asing(a1)),aun(asing(asing(a2)),a4)))
    | ~ ain(X0,asing(apow(a2))) ),
    inference(cnf_transformation,[],[f191]) ).

cnf(c_111,plain,
    asubq(asm(a3,asing(a1)),aint(aun(asing(asing(a1)),a4),aun(asing(a2),apow(asing(a2))))),
    inference(cnf_transformation,[],[f192]) ).

cnf(c_112,plain,
    aint(aun(asing(asing(a2)),a4),asm(apow(a2),asing(a1))) = asm(a3,asing(a1)),
    inference(cnf_transformation,[],[f193]) ).

cnf(c_113,plain,
    ~ aal3(aun(a1,asing(a3))),
    inference(cnf_transformation,[],[f194]) ).

cnf(c_114,plain,
    ( ~ aal3(asm(asm(apow(a2),asing(a2)),asing(X0)))
    | ~ ain(X0,asm(apow(a2),asing(a2))) ),
    inference(cnf_transformation,[],[f195]) ).

cnf(c_115,plain,
    ~ aal4(asm(apow(a2),apow(asing(a2)))),
    inference(cnf_transformation,[],[f196]) ).

cnf(c_116,plain,
    aal4(aun(a3,asing(asm(apow(a2),a2)))),
    inference(cnf_transformation,[],[f197]) ).

cnf(c_117,plain,
    ( ~ ain(X0,aun(aun(asing(a1),asing(asing(a1))),aun(apow(asing(a2)),asing(a3))))
    | ~ ain(X0,a4)
    | ain(X0,aun(apow(asing(a2)),asing(a3)))
    | ain(X0,asing(a1)) ),
    inference(cnf_transformation,[],[f198]) ).

cnf(c_118,plain,
    ( ~ ain(X0,apow(asing(a2)))
    | ain(X0,aun(a3,asing(apow(a2))))
    | ain(X0,asing(asing(a2))) ),
    inference(cnf_transformation,[],[f199]) ).

cnf(c_119,plain,
    asubq(asm(aint(aun(asm(apow(a2),apow(asing(a2))),aun(apow(asing(a2)),asing(apow(a2)))),aun(asing(asing(a2)),aun(a4,asing(apow(a2))))),asing(asing(a2))),aun(a3,asing(apow(a2)))),
    inference(cnf_transformation,[],[f200]) ).

cnf(c_120,negated_conjecture,
    asubq(asm(apow(a2),asing(a2)),aun(asing(a1),asing(asing(a1)))),
    inference(cnf_transformation,[],[f201]) ).

cnf(c_476,plain,
    ain(a2,asm(a4,asing(a0))),
    inference(demodulation,[status(thm)],[c_82,c_107]) ).

cnf(c_501,plain,
    asm(asm(a4,asing(a0)),asing(a3)) = asm(apow(a2),apow(asing(a1))),
    inference(light_normalisation,[status(thm)],[c_106,c_107]) ).

cnf(c_567,plain,
    ( X0 != X1
    | ~ aal4(X1)
    | aal4(X0) ),
    theory(equality) ).

cnf(c_570,plain,
    ( aun(a3,asing(asm(apow(a2),a2))) != X0
    | ~ asubq(X0,aun(X1,X2))
    | ~ ain(X3,X2)
    | ain(X3,X0)
    | aal3(X1)
    | aal3(X2) ),
    inference(resolution_lifted,[status(thm)],[c_59,c_116]) ).

cnf(c_571,plain,
    ( ~ asubq(aun(a3,asing(asm(apow(a2),a2))),aun(X0,X1))
    | ~ ain(X2,X1)
    | ain(X2,aun(a3,asing(asm(apow(a2),a2))))
    | aal3(X0)
    | aal3(X1) ),
    inference(unflattening,[status(thm)],[c_570]) ).

cnf(c_588,plain,
    aun(a3,asing(asm(apow(a2),a2))) != asm(apow(a2),apow(asing(a2))),
    inference(resolution_lifted,[status(thm)],[c_115,c_116]) ).

cnf(c_1022,plain,
    X0_1 = X0_1,
    theory(equality) ).

cnf(c_1832,plain,
    asubq(a1,apow(a2)),
    inference(superposition,[status(thm)],[c_62,c_61]) ).

cnf(c_1833,plain,
    asubq(a1,asm(a4,asing(a1))),
    inference(superposition,[status(thm)],[c_76,c_61]) ).

cnf(c_1834,plain,
    asubq(a1,aun(a1,asing(a3))),
    inference(superposition,[status(thm)],[c_79,c_61]) ).

cnf(c_1839,plain,
    ( ~ asubq(a0,X0)
    | asubq(a1,apow(X0)) ),
    inference(superposition,[status(thm)],[c_49,c_61]) ).

cnf(c_1840,plain,
    ~ asubq(a1,asing(a1)),
    inference(superposition,[status(thm)],[c_49,c_63]) ).

cnf(c_1848,plain,
    asubq(a0,a2),
    inference(superposition,[status(thm)],[c_62,c_54]) ).

cnf(c_1857,plain,
    ain(a0,a4),
    inference(superposition,[status(thm)],[c_76,c_56]) ).

cnf(c_1858,plain,
    ain(a2,a4),
    inference(superposition,[status(thm)],[c_476,c_56]) ).

cnf(c_1859,plain,
    asubq(a1,a4),
    inference(superposition,[status(thm)],[c_1857,c_61]) ).

cnf(c_1860,plain,
    ( ~ ain(X0,a3)
    | ain(X0,apow(a2)) ),
    inference(superposition,[status(thm)],[c_100,c_56]) ).

cnf(c_1868,plain,
    ( ~ ain(X0,a3)
    | asubq(X0,a2) ),
    inference(superposition,[status(thm)],[c_1860,c_54]) ).

cnf(c_1881,plain,
    ~ ain(a0,asing(a1)),
    inference(superposition,[status(thm)],[c_76,c_58]) ).

cnf(c_1882,plain,
    ~ ain(a2,asing(a0)),
    inference(superposition,[status(thm)],[c_476,c_58]) ).

cnf(c_1883,plain,
    ( ~ ain(X0,asing(asing(a1)))
    | ~ ain(X0,a3) ),
    inference(superposition,[status(thm)],[c_100,c_58]) ).

cnf(c_1887,plain,
    ( ~ ain(X0,aun(asing(asing(a1)),asing(asing(asing(a1)))))
    | ~ ain(X0,asing(a0)) ),
    inference(superposition,[status(thm)],[c_101,c_58]) ).

cnf(c_1888,plain,
    ( ~ ain(X0,aun(asing(asing(a1)),asing(asing(asing(a1)))))
    | ain(X0,asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1)))))) ),
    inference(superposition,[status(thm)],[c_101,c_56]) ).

cnf(c_1898,plain,
    ( ~ ain(X0,asm(a4,asing(a0)))
    | ~ ain(X0,apow(asing(a2))) ),
    inference(superposition,[status(thm)],[c_107,c_58]) ).

cnf(c_1911,plain,
    ( ~ ain(X0,a4)
    | ain(X0,asm(a4,asing(a0)))
    | ain(X0,apow(asing(a2))) ),
    inference(superposition,[status(thm)],[c_107,c_51]) ).

cnf(c_1912,plain,
    ( ~ ain(X0,apow(a2))
    | ain(X0,asing(asing(a1)))
    | ain(X0,a3) ),
    inference(superposition,[status(thm)],[c_100,c_51]) ).

cnf(c_1913,plain,
    ( ~ ain(X0,asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1))))))
    | ain(X0,aun(asing(asing(a1)),asing(asing(asing(a1)))))
    | ain(X0,asing(a0)) ),
    inference(superposition,[status(thm)],[c_101,c_51]) ).

cnf(c_1916,plain,
    ( ~ ain(a0,X0)
    | asubq(a1,asm(X0,X1))
    | ain(a0,X1) ),
    inference(superposition,[status(thm)],[c_51,c_61]) ).

cnf(c_1917,plain,
    ( ~ ain(asing(a1),apow(a2))
    | ain(asing(a1),apow(asing(a1))) ),
    inference(superposition,[status(thm)],[c_51,c_68]) ).

cnf(c_1918,plain,
    ( ~ ain(a3,apow(a2))
    | ain(a3,asing(a1)) ),
    inference(superposition,[status(thm)],[c_51,c_71]) ).

cnf(c_1941,plain,
    ( ~ asubq(a3,a2)
    | ain(a3,asing(a1)) ),
    inference(superposition,[status(thm)],[c_49,c_1918]) ).

cnf(c_1942,plain,
    ( ~ ain(a3,a3)
    | ain(a3,asing(a1)) ),
    inference(superposition,[status(thm)],[c_1860,c_1918]) ).

cnf(c_1961,plain,
    ( ain(asing(a1),asing(asing(asing(a1))))
    | ain(asing(a1),asing(asing(a1))) ),
    inference(superposition,[status(thm)],[c_73,c_55]) ).

cnf(c_1962,plain,
    ( ain(asing(a2),apow(asing(a2)))
    | ain(asing(a2),asing(a2)) ),
    inference(superposition,[status(thm)],[c_78,c_55]) ).

cnf(c_1963,plain,
    ( ain(a0,asing(a3))
    | ain(a0,a1) ),
    inference(superposition,[status(thm)],[c_79,c_55]) ).

cnf(c_1964,plain,
    ( ain(a3,apow(asing(a2)))
    | ain(a3,asing(a3)) ),
    inference(superposition,[status(thm)],[c_83,c_55]) ).

cnf(c_1965,plain,
    ( ain(a3,asing(asing(a2)))
    | ain(a3,a4) ),
    inference(superposition,[status(thm)],[c_86,c_55]) ).

cnf(c_1977,plain,
    ( ~ ain(X0,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))))
    | ain(X0,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
    | ain(X0,asing(a2)) ),
    inference(superposition,[status(thm)],[c_102,c_51]) ).

cnf(c_1978,plain,
    ( ~ ain(X0,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
    | ~ ain(X0,asing(a2)) ),
    inference(superposition,[status(thm)],[c_102,c_58]) ).

cnf(c_1979,plain,
    ( ~ ain(X0,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
    | ain(X0,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))) ),
    inference(superposition,[status(thm)],[c_102,c_56]) ).

cnf(c_1996,plain,
    ~ ain(a1,asm(apow(a2),asing(a1))),
    inference(superposition,[status(thm)],[c_84,c_58]) ).

cnf(c_1997,plain,
    ain(a1,aun(asing(asing(a2)),a4)),
    inference(superposition,[status(thm)],[c_84,c_56]) ).

cnf(c_1998,plain,
    ~ ain(asing(a2),asm(apow(a2),asing(a1))),
    inference(superposition,[status(thm)],[c_85,c_58]) ).

cnf(c_1999,plain,
    ain(asing(a2),aun(asing(asing(a2)),a4)),
    inference(superposition,[status(thm)],[c_85,c_56]) ).

cnf(c_2000,plain,
    ( ~ asubq(asm(apow(a2),apow(asing(a1))),a3)
    | ~ asubq(apow(asing(asing(a1))),a3) ),
    inference(superposition,[status(thm)],[c_57,c_90]) ).

cnf(c_2007,plain,
    ( asubq(a1,asing(a3))
    | ain(a0,a1) ),
    inference(superposition,[status(thm)],[c_1963,c_61]) ).

cnf(c_2010,plain,
    ( ain(a1,asing(asing(a2)))
    | ain(a1,a4) ),
    inference(superposition,[status(thm)],[c_1997,c_55]) ).

cnf(c_2021,plain,
    ( ~ ain(a1,apow(a2))
    | ain(a1,asing(a1)) ),
    inference(superposition,[status(thm)],[c_51,c_1996]) ).

cnf(c_2024,plain,
    ( ain(asing(a2),asing(asing(a2)))
    | ain(asing(a2),a4) ),
    inference(superposition,[status(thm)],[c_1999,c_55]) ).

cnf(c_2035,plain,
    ( ain(a3,asing(a3))
    | asubq(a3,asing(a2)) ),
    inference(superposition,[status(thm)],[c_1964,c_54]) ).

cnf(c_2042,plain,
    ( ~ ain(asing(a2),apow(a2))
    | ain(asing(a2),asing(a1)) ),
    inference(superposition,[status(thm)],[c_51,c_1998]) ).

cnf(c_2049,plain,
    ( ~ asubq(a1,a2)
    | ain(a1,asing(a1)) ),
    inference(superposition,[status(thm)],[c_49,c_2021]) ).

cnf(c_2050,plain,
    ( ~ ain(a1,a3)
    | ain(a1,asing(a1)) ),
    inference(superposition,[status(thm)],[c_1860,c_2021]) ).

cnf(c_2069,plain,
    ( ~ ain(X0,a4)
    | X0 = a3
    | ain(X0,asing(a2))
    | ain(X0,a2) ),
    inference(superposition,[status(thm)],[c_51,c_104]) ).

cnf(c_2075,plain,
    ( ~ ain(X0,asm(a4,asing(a0)))
    | ain(X0,asm(apow(a2),apow(asing(a1))))
    | ain(X0,asing(a3)) ),
    inference(superposition,[status(thm)],[c_501,c_51]) ).

cnf(c_2076,plain,
    ( ~ ain(X0,asm(apow(a2),apow(asing(a1))))
    | ~ ain(X0,asing(a3)) ),
    inference(superposition,[status(thm)],[c_501,c_58]) ).

cnf(c_2077,plain,
    ( ~ ain(X0,asm(apow(a2),apow(asing(a1))))
    | ain(X0,asm(a4,asing(a0))) ),
    inference(superposition,[status(thm)],[c_501,c_56]) ).

cnf(c_2087,plain,
    ( ain(a1,aun(asing(asing(a2)),asing(apow(a2))))
    | ain(a1,asm(apow(a2),apow(asing(a1)))) ),
    inference(superposition,[status(thm)],[c_88,c_55]) ).

cnf(c_2102,plain,
    ( ain(asing(a2),asing(a2))
    | asubq(asing(a2),asing(a2)) ),
    inference(superposition,[status(thm)],[c_1962,c_54]) ).

cnf(c_2113,plain,
    ( ~ asubq(asing(a2),a2)
    | ain(asing(a2),asing(a1)) ),
    inference(superposition,[status(thm)],[c_49,c_2042]) ).

cnf(c_2114,plain,
    ( ~ ain(asing(a2),a3)
    | ain(asing(a2),asing(a1)) ),
    inference(superposition,[status(thm)],[c_1860,c_2042]) ).

cnf(c_2133,plain,
    ( ~ ain(a0,a4)
    | asubq(a1,asm(a4,asing(a0)))
    | ain(a0,apow(asing(a2))) ),
    inference(superposition,[status(thm)],[c_107,c_1916]) ).

cnf(c_2134,plain,
    ( ~ ain(a0,apow(a2))
    | ain(a0,asing(asing(a1)))
    | asubq(a1,a3) ),
    inference(superposition,[status(thm)],[c_100,c_1916]) ).

cnf(c_2135,plain,
    ( ~ ain(a0,asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1))))))
    | asubq(a1,aun(asing(asing(a1)),asing(asing(asing(a1)))))
    | ain(a0,asing(a0)) ),
    inference(superposition,[status(thm)],[c_101,c_1916]) ).

cnf(c_2136,plain,
    ( ~ ain(a0,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))))
    | asubq(a1,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
    | ain(a0,asing(a2)) ),
    inference(superposition,[status(thm)],[c_102,c_1916]) ).

cnf(c_2137,plain,
    ( ~ ain(a0,asm(a4,asing(a0)))
    | asubq(a1,asm(apow(a2),apow(asing(a1))))
    | ain(a0,asing(a3)) ),
    inference(superposition,[status(thm)],[c_501,c_1916]) ).

cnf(c_2138,plain,
    ( ain(a0,asing(asing(a1)))
    | asubq(a1,a3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2134,c_62]) ).

cnf(c_2141,plain,
    ( asubq(a1,asm(a4,asing(a0)))
    | ain(a0,apow(asing(a2))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2133,c_1857]) ).

cnf(c_2157,plain,
    ( asubq(a1,asing(asing(a1)))
    | asubq(a1,a3) ),
    inference(superposition,[status(thm)],[c_2138,c_61]) ).

cnf(c_2171,plain,
    ( ~ ain(X0,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))))
    | ain(X0,asing(asing(asing(a1))))
    | ain(X0,apow(a2)) ),
    inference(superposition,[status(thm)],[c_103,c_51]) ).

cnf(c_2172,plain,
    ( ~ ain(X0,asing(asing(asing(a1))))
    | ~ ain(X0,apow(a2)) ),
    inference(superposition,[status(thm)],[c_103,c_58]) ).

cnf(c_2173,plain,
    ( ~ ain(X0,apow(a2))
    | ain(X0,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))) ),
    inference(superposition,[status(thm)],[c_103,c_56]) ).

cnf(c_2185,plain,
    ( ain(a1,aun(apow(asing(a2)),asing(apow(a2))))
    | ain(a1,asm(apow(a2),apow(asing(a2)))) ),
    inference(superposition,[status(thm)],[c_89,c_55]) ).

cnf(c_2188,plain,
    ( ~ asubq(aun(a4,asing(apow(a2))),aun(a4,asing(apow(a2))))
    | ~ asubq(asing(asing(a2)),aun(a4,asing(apow(a2)))) ),
    inference(superposition,[status(thm)],[c_57,c_94]) ).

cnf(c_2197,plain,
    ( ~ ain(X0,apow(a2))
    | asing(a1) = X0
    | ain(X0,asing(a2))
    | ain(X0,a2) ),
    inference(superposition,[status(thm)],[c_51,c_96]) ).

cnf(c_2207,plain,
    ( ~ ain(asing(a1),apow(a2))
    | asubq(asing(a1),asing(a1)) ),
    inference(superposition,[status(thm)],[c_1917,c_54]) ).

cnf(c_2217,plain,
    ( ~ asubq(asing(a1),a2)
    | asubq(asing(a1),asing(a1)) ),
    inference(superposition,[status(thm)],[c_49,c_2207]) ).

cnf(c_2239,plain,
    ( ~ ain(X0,apow(asing(a2)))
    | ~ ain(X0,a4)
    | ain(X0,asing(a0)) ),
    inference(superposition,[status(thm)],[c_51,c_1898]) ).

cnf(c_2240,plain,
    ~ ain(a2,apow(asing(a2))),
    inference(superposition,[status(thm)],[c_476,c_1898]) ).

cnf(c_2258,plain,
    ~ asubq(a2,asing(a2)),
    inference(superposition,[status(thm)],[c_49,c_2240]) ).

cnf(c_2265,plain,
    ( ~ ain(a0,apow(a2))
    | asubq(a1,asing(asing(a1)))
    | ain(a0,a3) ),
    inference(superposition,[status(thm)],[c_1912,c_61]) ).

cnf(c_2266,plain,
    ( ~ ain(asm(a3,asing(a1)),apow(a2))
    | ain(asm(a3,asing(a1)),a3) ),
    inference(superposition,[status(thm)],[c_1912,c_66]) ).

cnf(c_2268,plain,
    ( asubq(a1,asing(asing(a1)))
    | ain(a0,a3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2265,c_62]) ).

cnf(c_2281,plain,
    ( ~ ain(asing(a1),apow(a2))
    | ain(asing(a1),asing(asing(a1))) ),
    inference(superposition,[status(thm)],[c_1961,c_2172]) ).

cnf(c_2288,plain,
    ( ~ ain(asing(a1),apow(a2))
    | ~ ain(asing(a1),a3) ),
    inference(superposition,[status(thm)],[c_2281,c_1883]) ).

cnf(c_2295,plain,
    ( ~ asubq(asing(apow(a2)),aun(a4,asing(apow(a2))))
    | ~ asubq(asing(asing(a2)),aun(a4,asing(apow(a2))))
    | ~ asubq(a4,aun(a4,asing(apow(a2)))) ),
    inference(superposition,[status(thm)],[c_57,c_2188]) ).

cnf(c_2305,plain,
    ( ~ ain(X0,a4)
    | X0 = a0
    | ain(X0,asm(a4,a2))
    | ain(X0,asing(a1)) ),
    inference(superposition,[status(thm)],[c_51,c_105]) ).

cnf(c_2314,plain,
    ~ ain(asing(a1),a3),
    inference(forward_subsumption_resolution,[status(thm)],[c_2288,c_1860]) ).

cnf(c_2319,plain,
    ( ~ ain(X0,apow(a2))
    | ~ ain(X0,asing(a3))
    | ain(X0,apow(asing(a1))) ),
    inference(superposition,[status(thm)],[c_51,c_2076]) ).

cnf(c_2330,plain,
    ( ~ asubq(X0,asing(a2))
    | ~ ain(X0,a4)
    | ain(X0,asing(a0)) ),
    inference(superposition,[status(thm)],[c_49,c_2239]) ).

cnf(c_2331,plain,
    ( ~ ain(asing(a2),a4)
    | ain(asing(a2),asing(a2))
    | ain(asing(a2),asing(a0)) ),
    inference(superposition,[status(thm)],[c_1962,c_2239]) ).

cnf(c_2332,plain,
    ( ~ ain(a3,a4)
    | ain(a3,asing(a0))
    | ain(a3,asing(a3)) ),
    inference(superposition,[status(thm)],[c_1964,c_2239]) ).

cnf(c_2354,plain,
    ( ~ ain(aun(X0,X1),a4)
    | ~ asubq(X0,asing(a2))
    | ~ asubq(X1,asing(a2))
    | ain(aun(X0,X1),asing(a0)) ),
    inference(superposition,[status(thm)],[c_57,c_2330]) ).

cnf(c_2355,plain,
    ( ~ ain(asm(asm(apow(a2),a2),asing(asing(a1))),a4)
    | ain(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a0)) ),
    inference(superposition,[status(thm)],[c_97,c_2330]) ).

cnf(c_2368,plain,
    ( ~ asubq(asm(a3,asing(a1)),a2)
    | ain(asm(a3,asing(a1)),a3) ),
    inference(superposition,[status(thm)],[c_49,c_2266]) ).

cnf(c_2382,plain,
    ( ~ ain(X0,asing(a0))
    | ~ ain(X0,a4)
    | ain(X0,apow(asing(a2))) ),
    inference(superposition,[status(thm)],[c_1911,c_58]) ).

cnf(c_2395,plain,
    ( ~ ain(X0,asing(a0))
    | ~ ain(X0,a4)
    | asubq(X0,asing(a2)) ),
    inference(superposition,[status(thm)],[c_2382,c_54]) ).

cnf(c_2396,plain,
    ( ~ ain(a0,asing(a0))
    | ~ ain(a0,a4)
    | asubq(a1,apow(asing(a2))) ),
    inference(superposition,[status(thm)],[c_2382,c_61]) ).

cnf(c_2402,plain,
    ( ~ ain(a0,asing(a0))
    | asubq(a1,apow(asing(a2))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2396,c_1857]) ).

cnf(c_2424,plain,
    ( ~ ain(a0,a4)
    | a0 = a3
    | asubq(a1,asing(a2))
    | ain(a0,a2) ),
    inference(superposition,[status(thm)],[c_2069,c_61]) ).

cnf(c_2425,plain,
    ( ~ ain(asing(a1),a4)
    | asing(a1) = a3
    | ain(asing(a1),a2) ),
    inference(superposition,[status(thm)],[c_2069,c_64]) ).

cnf(c_2429,plain,
    ( a0 = a3
    | asubq(a1,asing(a2))
    | ain(a0,a2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2424,c_1857]) ).

cnf(c_2449,plain,
    ( ~ ain(X0,apow(asing(a2)))
    | ain(X0,asing(apow(a2)))
    | ain(X0,asing(asing(a2)))
    | ain(X0,a3) ),
    inference(superposition,[status(thm)],[c_118,c_55]) ).

cnf(c_2450,plain,
    ( ~ ain(a0,apow(asing(a2)))
    | asubq(a1,aun(a3,asing(apow(a2))))
    | ain(a0,asing(asing(a2))) ),
    inference(superposition,[status(thm)],[c_118,c_61]) ).

cnf(c_2458,plain,
    ~ ain(asing(asing(a1)),asing(aun(asing(a1),asing(asing(a1))))),
    inference(superposition,[status(thm)],[c_74,c_58]) ).

cnf(c_2459,plain,
    ain(asing(asing(a1)),apow(aun(asing(a1),asing(asing(a1))))),
    inference(superposition,[status(thm)],[c_74,c_56]) ).

cnf(c_2470,plain,
    ( ~ ain(asing(a1),aun(X0,X1))
    | ~ ain(a0,aun(X0,X1))
    | ~ asubq(X0,apow(asing(a1)))
    | ~ asubq(X1,apow(asing(a1)))
    | aun(X0,X1) = apow(asing(a1)) ),
    inference(superposition,[status(thm)],[c_57,c_69]) ).

cnf(c_2471,plain,
    ( ~ ain(asing(a1),a1)
    | ~ asubq(a0,asing(a1))
    | ~ ain(a0,a1)
    | apow(asing(a1)) = a1 ),
    inference(superposition,[status(thm)],[c_1839,c_69]) ).

cnf(c_2489,plain,
    ( ~ ain(a1,a4)
    | a0 = a3
    | ain(a1,asing(a0))
    | ain(a0,a2) ),
    inference(superposition,[status(thm)],[c_2429,c_2330]) ).

cnf(c_2506,plain,
    ( ~ ain(X0,apow(a2))
    | ain(X0,asm(a4,asing(a0)))
    | ain(X0,apow(asing(a1))) ),
    inference(superposition,[status(thm)],[c_51,c_2077]) ).

cnf(c_2521,plain,
    ( ~ ain(X0,apow(a2))
    | ~ ain(X0,asing(a3))
    | asubq(X0,asing(a1)) ),
    inference(superposition,[status(thm)],[c_2319,c_54]) ).

cnf(c_2522,plain,
    ( ~ ain(a0,apow(a2))
    | ~ ain(a0,asing(a3))
    | asubq(a1,apow(asing(a1))) ),
    inference(superposition,[status(thm)],[c_2319,c_61]) ).

cnf(c_2523,plain,
    ( ~ ain(a1,apow(a2))
    | ~ ain(a1,asing(a3)) ),
    inference(superposition,[status(thm)],[c_2319,c_63]) ).

cnf(c_2529,plain,
    ( ~ ain(a0,asing(a3))
    | asubq(a1,apow(asing(a1))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2522,c_62]) ).

cnf(c_2537,plain,
    ( ~ ain(a1,asing(a3))
    | ~ asubq(a1,a2) ),
    inference(superposition,[status(thm)],[c_49,c_2523]) ).

cnf(c_2538,plain,
    ( ~ ain(a1,asing(a3))
    | ~ ain(a1,a3) ),
    inference(superposition,[status(thm)],[c_1860,c_2523]) ).

cnf(c_2586,plain,
    ( ~ ain(asing(a1),a1)
    | ~ ain(a0,asing(a3))
    | ~ ain(a0,a1)
    | apow(asing(a1)) = a1 ),
    inference(superposition,[status(thm)],[c_2529,c_69]) ).

cnf(c_2597,plain,
    ( ~ ain(X0,asing(a3))
    | ~ asubq(X0,a2)
    | asubq(X0,asing(a1)) ),
    inference(superposition,[status(thm)],[c_49,c_2521]) ).

cnf(c_2598,plain,
    ( ~ ain(a0,asing(a3))
    | asubq(a0,asing(a1)) ),
    inference(superposition,[status(thm)],[c_62,c_2521]) ).

cnf(c_2599,plain,
    ( ~ ain(X0,asing(a3))
    | ~ ain(X0,a3)
    | asubq(X0,asing(a1)) ),
    inference(superposition,[status(thm)],[c_1860,c_2521]) ).

cnf(c_2614,plain,
    ( asubq(a0,asing(a1))
    | ain(a0,a1) ),
    inference(superposition,[status(thm)],[c_1963,c_2598]) ).

cnf(c_2669,plain,
    ~ ain(asing(a1),asing(a0)),
    inference(superposition,[status(thm)],[c_73,c_1887]) ).

cnf(c_2676,plain,
    ( ~ ain(X0,apow(a2))
    | ~ ain(X0,asing(a0))
    | ain(X0,apow(asing(a1))) ),
    inference(superposition,[status(thm)],[c_2506,c_58]) ).

cnf(c_2677,plain,
    ( ~ ain(X0,apow(a2))
    | ain(X0,apow(asing(a1)))
    | ain(X0,a4) ),
    inference(superposition,[status(thm)],[c_2506,c_56]) ).

cnf(c_2678,plain,
    ( ~ ain(a0,apow(a2))
    | asubq(a1,asm(a4,asing(a0)))
    | ain(a0,apow(asing(a1))) ),
    inference(superposition,[status(thm)],[c_2506,c_61]) ).

cnf(c_2679,plain,
    ( ~ ain(X0,apow(asing(a2)))
    | ~ ain(X0,apow(a2))
    | ain(X0,apow(asing(a1))) ),
    inference(superposition,[status(thm)],[c_2506,c_1898]) ).

cnf(c_2689,plain,
    ( asubq(a1,asm(a4,asing(a0)))
    | ain(a0,apow(asing(a1))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2678,c_62]) ).

cnf(c_2702,plain,
    ( ~ ain(X0,apow(a2))
    | asubq(X0,asing(a1))
    | ain(X0,a4) ),
    inference(superposition,[status(thm)],[c_2677,c_54]) ).

cnf(c_2704,plain,
    ( ~ ain(a1,apow(a2))
    | ain(a1,a4) ),
    inference(superposition,[status(thm)],[c_2677,c_63]) ).

cnf(c_2714,plain,
    ( ~ asubq(a1,a2)
    | ain(a1,a4) ),
    inference(superposition,[status(thm)],[c_49,c_2704]) ).

cnf(c_2715,plain,
    ( ~ ain(a1,a3)
    | ain(a1,a4) ),
    inference(superposition,[status(thm)],[c_1860,c_2704]) ).

cnf(c_2738,plain,
    ( ~ asubq(asing(asm(apow(a2),a2)),aun(X0,X1))
    | ~ asubq(a3,aun(X0,X1))
    | ~ ain(X2,X1)
    | ain(X2,aun(a3,asing(asm(apow(a2),a2))))
    | aal3(X0)
    | aal3(X1) ),
    inference(superposition,[status(thm)],[c_57,c_571]) ).

cnf(c_2752,plain,
    ( ~ asubq(X0,a2)
    | asubq(X0,asing(a1))
    | ain(X0,a4) ),
    inference(superposition,[status(thm)],[c_49,c_2702]) ).

cnf(c_2754,plain,
    ( ~ ain(X0,a3)
    | asubq(X0,asing(a1))
    | ain(X0,a4) ),
    inference(superposition,[status(thm)],[c_1860,c_2702]) ).

cnf(c_2774,plain,
    ( ~ ain(X0,apow(a2))
    | ~ ain(X0,asing(a0))
    | asubq(X0,asing(a1)) ),
    inference(superposition,[status(thm)],[c_2676,c_54]) ).

cnf(c_2775,plain,
    ( ~ ain(a0,apow(a2))
    | ~ ain(a0,asing(a0))
    | asubq(a1,apow(asing(a1))) ),
    inference(superposition,[status(thm)],[c_2676,c_61]) ).

cnf(c_2776,plain,
    ( ~ ain(a1,apow(a2))
    | ~ ain(a1,asing(a0)) ),
    inference(superposition,[status(thm)],[c_2676,c_63]) ).

cnf(c_2782,plain,
    ( ~ ain(a0,asing(a0))
    | asubq(a1,apow(asing(a1))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2775,c_62]) ).

cnf(c_2789,plain,
    ( ~ ain(a1,asing(a0))
    | ~ asubq(a1,a2) ),
    inference(superposition,[status(thm)],[c_49,c_2776]) ).

cnf(c_2790,plain,
    ( ~ ain(a1,asing(a0))
    | ~ ain(a1,a3) ),
    inference(superposition,[status(thm)],[c_1860,c_2776]) ).

cnf(c_2806,plain,
    ( ~ ain(a1,a4)
    | ~ asubq(a1,a2)
    | a0 = a3
    | ain(a0,a2) ),
    inference(superposition,[status(thm)],[c_2489,c_2789]) ).

cnf(c_2815,plain,
    ( ~ ain(a1,a3)
    | ~ ain(a1,a4)
    | a0 = a3
    | ain(a0,a2) ),
    inference(superposition,[status(thm)],[c_2489,c_2790]) ).

cnf(c_2824,plain,
    ( ~ ain(asing(a1),a1)
    | ~ ain(a0,asing(a0))
    | ~ ain(a0,a1)
    | apow(asing(a1)) = a1 ),
    inference(superposition,[status(thm)],[c_2782,c_69]) ).

cnf(c_2842,plain,
    ( ~ ain(X0,asing(a0))
    | ~ asubq(X0,a2)
    | asubq(X0,asing(a1)) ),
    inference(superposition,[status(thm)],[c_49,c_2774]) ).

cnf(c_2843,plain,
    ( ~ ain(a0,asing(a0))
    | asubq(a0,asing(a1)) ),
    inference(superposition,[status(thm)],[c_62,c_2774]) ).

cnf(c_2844,plain,
    ( ~ ain(X0,asing(a0))
    | ~ ain(X0,a3)
    | asubq(X0,asing(a1)) ),
    inference(superposition,[status(thm)],[c_1860,c_2774]) ).

cnf(c_2920,plain,
    ( ~ asubq(a1,a2)
    | a0 = a3
    | ain(a0,a2) ),
    inference(global_subsumption_just,[status(thm)],[c_2806,c_2489,c_2714,c_2789]) ).

cnf(c_2928,plain,
    ( ~ ain(a1,a3)
    | a0 = a3
    | ain(a0,a2) ),
    inference(global_subsumption_just,[status(thm)],[c_2815,c_2489,c_2715,c_2790]) ).

cnf(c_2942,plain,
    ( ~ ain(X0,apow(a2))
    | ~ asubq(X0,asing(a2))
    | ain(X0,apow(asing(a1))) ),
    inference(superposition,[status(thm)],[c_49,c_2679]) ).

cnf(c_2944,plain,
    ( ~ ain(asing(a2),apow(a2))
    | ain(asing(a2),apow(asing(a1)))
    | ain(asing(a2),asing(a2)) ),
    inference(superposition,[status(thm)],[c_1962,c_2679]) ).

cnf(c_2945,plain,
    ( ~ ain(a3,apow(a2))
    | ain(a3,apow(asing(a1)))
    | ain(a3,asing(a3)) ),
    inference(superposition,[status(thm)],[c_1964,c_2679]) ).

cnf(c_2962,plain,
    ( ~ ain(a3,apow(a2))
    | ain(a3,apow(asing(a1))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2945,c_2319]) ).

cnf(c_2965,plain,
    ( ~ ain(a3,apow(a2))
    | asubq(a3,asing(a1)) ),
    inference(superposition,[status(thm)],[c_2962,c_54]) ).

cnf(c_2972,plain,
    ( ~ ain(X0,aun(asing(asing(a1)),asing(asing(asing(a1)))))
    | ~ ain(X0,asing(aun(asing(a1),asing(asing(a1))))) ),
    inference(superposition,[status(thm)],[c_1888,c_58]) ).

cnf(c_2973,plain,
    ( ~ ain(X0,aun(asing(asing(a1)),asing(asing(asing(a1)))))
    | ain(X0,apow(aun(asing(a1),asing(asing(a1))))) ),
    inference(superposition,[status(thm)],[c_1888,c_56]) ).

cnf(c_2974,plain,
    ( ~ ain(a0,aun(asing(asing(a1)),asing(asing(asing(a1)))))
    | asubq(a1,asm(apow(aun(asing(a1),asing(asing(a1)))),asing(aun(asing(a1),asing(asing(a1)))))) ),
    inference(superposition,[status(thm)],[c_1888,c_61]) ).

cnf(c_2987,plain,
    ( ~ asubq(a3,a2)
    | asubq(a3,asing(a1)) ),
    inference(superposition,[status(thm)],[c_49,c_2965]) ).

cnf(c_2988,plain,
    ( ~ ain(a3,a3)
    | asubq(a3,asing(a1)) ),
    inference(superposition,[status(thm)],[c_1860,c_2965]) ).

cnf(c_3031,plain,
    ( ~ ain(X0,apow(a2))
    | ~ asubq(X0,asing(a2))
    | asubq(X0,asing(a1)) ),
    inference(superposition,[status(thm)],[c_2942,c_54]) ).

cnf(c_3032,plain,
    ( ~ ain(a0,apow(a2))
    | ~ asubq(a0,asing(a2))
    | asubq(a1,apow(asing(a1))) ),
    inference(superposition,[status(thm)],[c_2942,c_61]) ).

cnf(c_3033,plain,
    ( ~ ain(a1,apow(a2))
    | ~ asubq(a1,asing(a2)) ),
    inference(superposition,[status(thm)],[c_2942,c_63]) ).

cnf(c_3039,plain,
    ( ~ asubq(a0,asing(a2))
    | asubq(a1,apow(asing(a1))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3032,c_62]) ).

cnf(c_3046,plain,
    ( ~ asubq(a1,asing(a2))
    | ~ asubq(a1,a2) ),
    inference(superposition,[status(thm)],[c_49,c_3033]) ).

cnf(c_3047,plain,
    ( ~ asubq(a1,asing(a2))
    | ~ ain(a1,a3) ),
    inference(superposition,[status(thm)],[c_1860,c_3033]) ).

cnf(c_3070,plain,
    ( ~ ain(asing(a1),a1)
    | ~ asubq(a0,asing(a2))
    | ~ ain(a0,a1)
    | apow(asing(a1)) = a1 ),
    inference(superposition,[status(thm)],[c_3039,c_69]) ).

cnf(c_3081,plain,
    ( ~ ain(aun(X0,X1),apow(a2))
    | ~ asubq(X0,asing(a2))
    | ~ asubq(X1,asing(a2))
    | asubq(aun(X0,X1),asing(a1)) ),
    inference(superposition,[status(thm)],[c_57,c_3031]) ).

cnf(c_3082,plain,
    ( ~ ain(asm(asm(apow(a2),a2),asing(asing(a1))),apow(a2))
    | asubq(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a1)) ),
    inference(superposition,[status(thm)],[c_97,c_3031]) ).

cnf(c_3084,plain,
    ( ~ ain(asing(a2),apow(a2))
    | ain(asing(a2),asing(a2))
    | asubq(asing(a2),asing(a1)) ),
    inference(superposition,[status(thm)],[c_2102,c_3031]) ).

cnf(c_3085,plain,
    ( ~ ain(a1,apow(a2))
    | a0 = a3
    | asubq(a1,asing(a1))
    | ain(a0,a2) ),
    inference(superposition,[status(thm)],[c_2429,c_3031]) ).

cnf(c_3089,plain,
    ( ~ ain(a1,apow(a2))
    | a0 = a3
    | ain(a0,a2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3085,c_1840]) ).

cnf(c_3122,plain,
    ( ~ asubq(asing(a2),a2)
    | ain(asing(a2),asing(a2))
    | asubq(asing(a2),asing(a1)) ),
    inference(superposition,[status(thm)],[c_49,c_3084]) ).

cnf(c_3123,plain,
    ( ~ ain(asing(a2),a3)
    | ain(asing(a2),asing(a2))
    | asubq(asing(a2),asing(a1)) ),
    inference(superposition,[status(thm)],[c_1860,c_3084]) ).

cnf(c_3148,plain,
    ( ~ ain(X0,apow(aun(asing(a1),asing(asing(a1)))))
    | ain(X0,aun(asing(asing(a1)),asing(asing(asing(a1)))))
    | ain(X0,asing(aun(asing(a1),asing(asing(a1)))))
    | ain(X0,asing(a0)) ),
    inference(superposition,[status(thm)],[c_51,c_1913]) ).

cnf(c_3149,plain,
    ( ain(asing(asing(a1)),aun(asing(asing(a1)),asing(asing(asing(a1)))))
    | ain(asing(asing(a1)),asing(a0)) ),
    inference(superposition,[status(thm)],[c_74,c_1913]) ).

cnf(c_3162,plain,
    ( ain(a1,asm(apow(a2),apow(asing(a1))))
    | ain(a1,asing(apow(a2)))
    | ain(a1,asing(asing(a2))) ),
    inference(superposition,[status(thm)],[c_2087,c_55]) ).

cnf(c_3197,plain,
    ( ain(a1,asm(apow(a2),apow(asing(a2))))
    | ain(a1,apow(asing(a2)))
    | ain(a1,asing(apow(a2))) ),
    inference(superposition,[status(thm)],[c_2185,c_55]) ).

cnf(c_3209,plain,
    ( ~ asubq(X0,a2)
    | asing(a1) = X0
    | ain(X0,asing(a2))
    | ain(X0,a2) ),
    inference(superposition,[status(thm)],[c_49,c_2197]) ).

cnf(c_3210,plain,
    ( asing(a1) = a0
    | ain(a0,asing(a2))
    | ain(a0,a2) ),
    inference(superposition,[status(thm)],[c_62,c_2197]) ).

cnf(c_3211,plain,
    ( ~ ain(X0,a3)
    | asing(a1) = X0
    | ain(X0,asing(a2))
    | ain(X0,a2) ),
    inference(superposition,[status(thm)],[c_1860,c_2197]) ).

cnf(c_3231,plain,
    ( asing(a1) = a0
    | asubq(a1,asing(a2))
    | ain(a0,a2) ),
    inference(superposition,[status(thm)],[c_3210,c_61]) ).

cnf(c_3241,plain,
    ( ~ ain(a1,apow(a2))
    | asing(a1) = a0
    | asubq(a1,asing(a1))
    | ain(a0,a2) ),
    inference(superposition,[status(thm)],[c_3231,c_3031]) ).

cnf(c_3242,plain,
    ( ~ ain(a1,a4)
    | asing(a1) = a0
    | ain(a1,asing(a0))
    | ain(a0,a2) ),
    inference(superposition,[status(thm)],[c_3231,c_2330]) ).

cnf(c_3243,plain,
    ( ~ ain(a1,a3)
    | asing(a1) = a0
    | ain(a0,a2) ),
    inference(superposition,[status(thm)],[c_3231,c_3047]) ).

cnf(c_3244,plain,
    ( ~ asubq(a1,a2)
    | asing(a1) = a0
    | ain(a0,a2) ),
    inference(superposition,[status(thm)],[c_3231,c_3046]) ).

cnf(c_3255,plain,
    ( ~ ain(a1,apow(a2))
    | asing(a1) = a0
    | ain(a0,a2) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3241,c_1840]) ).

cnf(c_3328,plain,
    ( ~ ain(X0,a2)
    | ~ ain(X0,a4)
    | X0 = a0
    | ain(X0,asing(a1)) ),
    inference(superposition,[status(thm)],[c_2305,c_58]) ).

cnf(c_3331,plain,
    ( ~ ain(X0,a4)
    | X0 = a0
    | X0 = a3
    | ain(X0,asing(a2))
    | ain(X0,asing(a1)) ),
    inference(superposition,[status(thm)],[c_2305,c_104]) ).

cnf(c_3364,plain,
    ( ~ ain(X0,apow(a2))
    | ain(X0,asm(apow(a2),apow(asing(a2))))
    | ain(X0,apow(asing(asing(a1)))) ),
    inference(superposition,[status(thm)],[c_2173,c_55]) ).

cnf(c_3365,plain,
    ( ~ ain(a0,apow(a2))
    | asubq(a1,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))) ),
    inference(superposition,[status(thm)],[c_2173,c_61]) ).

cnf(c_3366,plain,
    asubq(a1,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1))))),
    inference(forward_subsumption_resolution,[status(thm)],[c_3365,c_62]) ).

cnf(c_3381,plain,
    ( ain(asing(asing(a1)),asing(asing(asing(a1))))
    | ain(asing(asing(a1)),asing(asing(a1)))
    | ain(asing(asing(a1)),asing(a0)) ),
    inference(superposition,[status(thm)],[c_3149,c_55]) ).

cnf(c_3393,plain,
    ( ain(a1,asing(apow(a2)))
    | ain(a1,asing(asing(a2)))
    | ain(a1,apow(a2)) ),
    inference(superposition,[status(thm)],[c_3162,c_56]) ).

cnf(c_3394,plain,
    ( ain(a1,asm(a4,asing(a0)))
    | ain(a1,asing(apow(a2)))
    | ain(a1,asing(asing(a2))) ),
    inference(superposition,[status(thm)],[c_3162,c_2077]) ).

cnf(c_3395,plain,
    ( ~ ain(a1,asing(a3))
    | ain(a1,asing(apow(a2)))
    | ain(a1,asing(asing(a2))) ),
    inference(superposition,[status(thm)],[c_3162,c_2076]) ).

cnf(c_3423,plain,
    ( ~ ain(a1,asing(a0))
    | ain(a1,asing(apow(a2)))
    | ain(a1,asing(asing(a2))) ),
    inference(superposition,[status(thm)],[c_3394,c_58]) ).

cnf(c_3425,plain,
    ( ~ ain(a1,apow(asing(a2)))
    | ain(a1,asing(apow(a2)))
    | ain(a1,asing(asing(a2))) ),
    inference(superposition,[status(thm)],[c_3394,c_1898]) ).

cnf(c_3444,plain,
    ( ~ asubq(a1,asing(a2))
    | ain(a1,asing(apow(a2)))
    | ain(a1,asing(asing(a2))) ),
    inference(superposition,[status(thm)],[c_49,c_3425]) ).

cnf(c_3494,plain,
    ( ain(a1,apow(asing(a2)))
    | ain(a1,asing(apow(a2)))
    | ain(a1,apow(a2)) ),
    inference(superposition,[status(thm)],[c_3197,c_56]) ).

cnf(c_3504,plain,
    ( ain(a1,asing(apow(a2)))
    | ain(a1,apow(a2))
    | asubq(a1,asing(a2)) ),
    inference(superposition,[status(thm)],[c_3494,c_54]) ).

cnf(c_3506,plain,
    ( ~ ain(a1,a4)
    | ain(a1,asing(apow(a2)))
    | ain(a1,apow(a2))
    | ain(a1,asing(a0)) ),
    inference(superposition,[status(thm)],[c_3494,c_2239]) ).

cnf(c_3539,plain,
    ( ~ ain(X0,asm(a4,asing(a0)))
    | ~ ain(X0,apow(asing(a1)))
    | ain(X0,asing(a3)) ),
    inference(superposition,[status(thm)],[c_2075,c_58]) ).

cnf(c_3540,plain,
    ( ~ ain(X0,asm(a4,asing(a0)))
    | ain(X0,apow(a2))
    | ain(X0,asing(a3)) ),
    inference(superposition,[status(thm)],[c_2075,c_56]) ).

cnf(c_3542,plain,
    ( ~ ain(asing(a1),asm(a4,asing(a0)))
    | ain(asing(a1),asing(a3)) ),
    inference(superposition,[status(thm)],[c_2075,c_68]) ).

cnf(c_3559,plain,
    ( ~ ain(asing(a1),a4)
    | ain(asing(a1),asing(a0))
    | ain(asing(a1),asing(a3)) ),
    inference(superposition,[status(thm)],[c_51,c_3542]) ).

cnf(c_3562,plain,
    ( ~ ain(asing(a1),a4)
    | ain(asing(a1),asing(a3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3559,c_2669]) ).

cnf(c_3574,plain,
    ( ~ ain(X0,apow(a2))
    | ain(X0,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
    | ain(X0,asing(a2)) ),
    inference(superposition,[status(thm)],[c_2173,c_1977]) ).

cnf(c_3591,plain,
    ( ~ ain(X0,a4)
    | ain(X0,apow(a2))
    | ain(X0,asing(a0))
    | ain(X0,asing(a3)) ),
    inference(superposition,[status(thm)],[c_51,c_3540]) ).

cnf(c_3592,plain,
    ( ain(a2,apow(a2))
    | ain(a2,asing(a3)) ),
    inference(superposition,[status(thm)],[c_476,c_3540]) ).

cnf(c_3594,plain,
    ( ~ ain(X0,a4)
    | ain(X0,apow(asing(a2)))
    | ain(X0,apow(a2))
    | ain(X0,asing(a3)) ),
    inference(superposition,[status(thm)],[c_1911,c_3540]) ).

cnf(c_3612,plain,
    ( ain(a2,asing(a3))
    | asubq(a2,a2) ),
    inference(superposition,[status(thm)],[c_3592,c_54]) ).

cnf(c_3613,plain,
    ( asing(a1) = a2
    | ain(a2,asing(a2))
    | ain(a2,asing(a3))
    | ain(a2,a2) ),
    inference(superposition,[status(thm)],[c_3592,c_2197]) ).

cnf(c_3644,plain,
    ( ~ ain(X0,a4)
    | ain(X0,asing(a0))
    | ain(X0,asing(a3))
    | asubq(X0,a2) ),
    inference(superposition,[status(thm)],[c_3591,c_54]) ).

cnf(c_3646,plain,
    ( ~ ain(X0,a4)
    | asing(a1) = X0
    | ain(X0,asing(a2))
    | ain(X0,asing(a0))
    | ain(X0,asing(a3))
    | ain(X0,a2) ),
    inference(superposition,[status(thm)],[c_3591,c_2197]) ).

cnf(c_3659,plain,
    ( ~ ain(a1,a4)
    | ain(a1,asing(a1))
    | ain(a1,asing(a0))
    | ain(a1,asing(a3)) ),
    inference(superposition,[status(thm)],[c_3591,c_2021]) ).

cnf(c_3661,plain,
    ( ~ ain(asing(a2),a4)
    | ain(asing(a2),asing(a1))
    | ain(asing(a2),asing(a0))
    | ain(asing(a2),asing(a3)) ),
    inference(superposition,[status(thm)],[c_3591,c_2042]) ).

cnf(c_3662,plain,
    ( ~ ain(asm(a3,asing(a1)),a4)
    | ain(asm(a3,asing(a1)),asing(a0))
    | ain(asm(a3,asing(a1)),asing(a3))
    | ain(asm(a3,asing(a1)),a3) ),
    inference(superposition,[status(thm)],[c_3591,c_2266]) ).

cnf(c_3729,plain,
    ( ~ ain(X0,a4)
    | ain(X0,asing(a3))
    | asubq(X0,asing(a2))
    | asubq(X0,a2) ),
    inference(superposition,[status(thm)],[c_3644,c_2395]) ).

cnf(c_3829,plain,
    ( ~ ain(a1,a4)
    | ain(a1,asing(a1))
    | ain(a1,asing(a3))
    | asubq(a1,asing(a2)) ),
    inference(superposition,[status(thm)],[c_3659,c_2395]) ).

cnf(c_3865,plain,
    ( ~ ain(X0,apow(asing(a1)))
    | ~ ain(X0,a4)
    | ain(X0,asing(a0))
    | ain(X0,asing(a3)) ),
    inference(superposition,[status(thm)],[c_51,c_3539]) ).

cnf(c_3866,plain,
    ( ~ ain(a2,apow(asing(a1)))
    | ain(a2,asing(a3)) ),
    inference(superposition,[status(thm)],[c_476,c_3539]) ).

cnf(c_3868,plain,
    ( ~ ain(X0,apow(asing(a1)))
    | ~ ain(X0,a4)
    | ain(X0,apow(asing(a2)))
    | ain(X0,asing(a3)) ),
    inference(superposition,[status(thm)],[c_1911,c_3539]) ).

cnf(c_3888,plain,
    ( ~ asubq(a2,asing(a1))
    | ain(a2,asing(a3)) ),
    inference(superposition,[status(thm)],[c_49,c_3866]) ).

cnf(c_3909,plain,
    ( ~ asubq(X0,asing(a1))
    | ~ ain(X0,a4)
    | ain(X0,asing(a0))
    | ain(X0,asing(a3)) ),
    inference(superposition,[status(thm)],[c_49,c_3865]) ).

cnf(c_3938,plain,
    ( ~ ain(aun(X0,X1),a4)
    | ~ asubq(X0,asing(a1))
    | ~ asubq(X1,asing(a1))
    | ain(aun(X0,X1),asing(a0))
    | ain(aun(X0,X1),asing(a3)) ),
    inference(superposition,[status(thm)],[c_57,c_3909]) ).

cnf(c_3978,plain,
    ( ~ ain(X0,a4)
    | ain(X0,apow(a2))
    | ain(X0,asing(a3))
    | asubq(X0,asing(a2)) ),
    inference(superposition,[status(thm)],[c_3594,c_54]) ).

cnf(c_4036,plain,
    ( ~ asubq(X0,asing(a2))
    | ain(X0,asing(apow(a2)))
    | ain(X0,asing(asing(a2)))
    | ain(X0,a3) ),
    inference(superposition,[status(thm)],[c_49,c_2449]) ).

cnf(c_4037,plain,
    ( ~ ain(X0,a4)
    | ain(X0,asing(apow(a2)))
    | ain(X0,asing(asing(a2)))
    | ain(X0,apow(a2))
    | ain(X0,asing(a3))
    | ain(X0,a3) ),
    inference(superposition,[status(thm)],[c_3594,c_2449]) ).

cnf(c_4038,plain,
    ( ~ ain(X0,asing(a0))
    | ~ ain(X0,a4)
    | ain(X0,asing(apow(a2)))
    | ain(X0,asing(asing(a2)))
    | ain(X0,a3) ),
    inference(superposition,[status(thm)],[c_2382,c_2449]) ).

cnf(c_4039,plain,
    ( ain(asing(a2),asing(apow(a2)))
    | ain(asing(a2),asing(asing(a2)))
    | ain(asing(a2),asing(a2))
    | ain(asing(a2),a3) ),
    inference(superposition,[status(thm)],[c_1962,c_2449]) ).

cnf(c_4040,plain,
    ( ain(a3,asing(apow(a2)))
    | ain(a3,asing(asing(a2)))
    | ain(a3,asing(a3))
    | ain(a3,a3) ),
    inference(superposition,[status(thm)],[c_1964,c_2449]) ).

cnf(c_4097,plain,
    ( ~ asubq(a0,asing(a2))
    | ain(a0,asing(asing(a2)))
    | asubq(a1,asing(apow(a2)))
    | ain(a0,a3) ),
    inference(superposition,[status(thm)],[c_4036,c_61]) ).

cnf(c_4108,plain,
    ( ~ ain(a0,apow(aun(asing(a1),asing(asing(a1)))))
    | asubq(a1,aun(asing(asing(a1)),asing(asing(asing(a1)))))
    | ain(a0,asing(aun(asing(a1),asing(asing(a1)))))
    | ain(a0,asing(a0)) ),
    inference(superposition,[status(thm)],[c_51,c_2135]) ).

cnf(c_4156,plain,
    ( ~ ain(X0,apow(asing(a2)))
    | ~ ain(X0,apow(a2))
    | ain(X0,apow(asing(asing(a1)))) ),
    inference(superposition,[status(thm)],[c_3364,c_58]) ).

cnf(c_4158,plain,
    ( ~ ain(a0,apow(a2))
    | asubq(a1,asm(apow(a2),apow(asing(a2))))
    | ain(a0,apow(asing(asing(a1)))) ),
    inference(superposition,[status(thm)],[c_3364,c_61]) ).

cnf(c_4162,plain,
    ( asubq(a1,asm(apow(a2),apow(asing(a2))))
    | ain(a0,apow(asing(asing(a1)))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4158,c_62]) ).

cnf(c_4175,plain,
    ( ~ ain(X0,apow(asing(a2)))
    | ~ ain(X0,apow(a2))
    | asubq(X0,asing(asing(a1))) ),
    inference(superposition,[status(thm)],[c_4156,c_54]) ).

cnf(c_4176,plain,
    ( ~ ain(a0,apow(asing(a2)))
    | ~ ain(a0,apow(a2))
    | asubq(a1,apow(asing(asing(a1)))) ),
    inference(superposition,[status(thm)],[c_4156,c_61]) ).

cnf(c_4180,plain,
    ( ~ ain(a0,apow(asing(a2)))
    | asubq(a1,apow(asing(asing(a1)))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4176,c_62]) ).

cnf(c_4193,plain,
    ( ~ ain(X0,apow(a2))
    | ~ asubq(X0,asing(a2))
    | asubq(X0,asing(asing(a1))) ),
    inference(superposition,[status(thm)],[c_49,c_4175]) ).

cnf(c_4195,plain,
    ( ~ ain(X0,apow(a2))
    | ~ ain(X0,asing(a0))
    | ~ ain(X0,a4)
    | asubq(X0,asing(asing(a1))) ),
    inference(superposition,[status(thm)],[c_2382,c_4175]) ).

cnf(c_4196,plain,
    ( ~ ain(asing(a2),apow(a2))
    | asubq(asing(a2),asing(asing(a1)))
    | ain(asing(a2),asing(a2)) ),
    inference(superposition,[status(thm)],[c_1962,c_4175]) ).

cnf(c_4197,plain,
    ( ~ ain(a3,apow(a2))
    | asubq(a3,asing(asing(a1)))
    | ain(a3,asing(a3)) ),
    inference(superposition,[status(thm)],[c_1964,c_4175]) ).

cnf(c_4247,plain,
    ( ~ asubq(X0,asing(a1))
    | ~ ain(X0,a4)
    | ain(X0,apow(asing(a2)))
    | ain(X0,asing(a3)) ),
    inference(superposition,[status(thm)],[c_49,c_3868]) ).

cnf(c_4283,plain,
    ( ~ asubq(X0,asing(a1))
    | ~ ain(X0,a4)
    | ain(X0,asing(a3))
    | asubq(X0,asing(a2)) ),
    inference(superposition,[status(thm)],[c_4247,c_54]) ).

cnf(c_4284,plain,
    ( ~ asubq(a0,asing(a1))
    | ~ ain(a0,a4)
    | asubq(a1,apow(asing(a2)))
    | ain(a0,asing(a3)) ),
    inference(superposition,[status(thm)],[c_4247,c_61]) ).

cnf(c_4285,plain,
    ( ~ ain(X0,apow(a2))
    | ~ asubq(X0,asing(a1))
    | ~ ain(X0,a4)
    | asubq(X0,asing(asing(a1)))
    | ain(X0,asing(a3)) ),
    inference(superposition,[status(thm)],[c_4247,c_4175]) ).

cnf(c_4286,plain,
    ( ~ asubq(X0,asing(a1))
    | ~ ain(X0,a4)
    | ain(X0,asing(apow(a2)))
    | ain(X0,asing(asing(a2)))
    | ain(X0,asing(a3))
    | ain(X0,a3) ),
    inference(superposition,[status(thm)],[c_4247,c_2449]) ).

cnf(c_4296,plain,
    ( ~ asubq(a0,asing(a1))
    | asubq(a1,apow(asing(a2)))
    | ain(a0,asing(a3)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4284,c_1857]) ).

cnf(c_4343,plain,
    ( ~ ain(a0,apow(a2))
    | asubq(a1,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
    | ain(a0,asing(a2)) ),
    inference(superposition,[status(thm)],[c_2173,c_2136]) ).

cnf(c_4344,plain,
    ( asubq(a1,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
    | ain(a0,asing(a2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4343,c_62]) ).

cnf(c_4357,plain,
    ( ~ ain(aun(X0,X1),a4)
    | ~ asubq(X0,asing(a1))
    | ~ asubq(X1,asing(a1))
    | ain(aun(X0,X1),asing(a3))
    | asubq(aun(X0,X1),asing(a2)) ),
    inference(superposition,[status(thm)],[c_57,c_4283]) ).

cnf(c_4443,plain,
    ain(asing(a1),apow(aun(asing(a1),asing(asing(a1))))),
    inference(superposition,[status(thm)],[c_73,c_2973]) ).

cnf(c_4480,plain,
    ( ~ ain(asing(a2),a4)
    | ain(asing(a2),asing(a1))
    | ain(asing(a2),asing(a3))
    | asubq(asing(a2),asing(a2)) ),
    inference(superposition,[status(thm)],[c_3661,c_2395]) ).

cnf(c_4503,plain,
    ~ ain(asing(a1),asing(aun(asing(a1),asing(asing(a1))))),
    inference(superposition,[status(thm)],[c_73,c_2972]) ).

cnf(c_4511,plain,
    ( ~ ain(asing(asing(a1)),apow(a2))
    | ain(asing(asing(a1)),asing(asing(a1)))
    | ain(asing(asing(a1)),asing(a0)) ),
    inference(superposition,[status(thm)],[c_3381,c_2172]) ).

cnf(c_4580,plain,
    ( ~ ain(asing(asing(a1)),apow(a2))
    | ~ ain(asing(asing(a1)),a3)
    | ain(asing(asing(a1)),asing(a0)) ),
    inference(superposition,[status(thm)],[c_4511,c_1883]) ).

cnf(c_4587,plain,
    ( ~ ain(asing(asing(a1)),a3)
    | ain(asing(asing(a1)),asing(a0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4580,c_1860]) ).

cnf(c_4590,plain,
    ( ~ ain(asing(asing(a1)),a3)
    | asubq(asing(asing(a1)),asing(a1)) ),
    inference(superposition,[status(thm)],[c_4587,c_2844]) ).

cnf(c_4592,plain,
    ( ~ ain(asing(asing(a1)),a3)
    | ~ ain(asing(asing(a1)),a4)
    | asubq(asing(asing(a1)),asing(a2)) ),
    inference(superposition,[status(thm)],[c_4587,c_2395]) ).

cnf(c_4678,plain,
    ( ~ ain(X0,apow(a2))
    | ain(X0,aun(asing(a1),asing(asing(a1))))
    | ain(X0,apow(asing(asing(a1))))
    | ain(X0,asing(a2)) ),
    inference(superposition,[status(thm)],[c_3574,c_55]) ).

cnf(c_4697,plain,
    ( ~ ain(a0,aun(asing(asing(a1)),asing(asing(asing(a1)))))
    | ~ asubq(asing(asing(asing(a1))),apow(asing(a1)))
    | ~ asubq(asing(asing(a1)),apow(asing(a1)))
    | aun(asing(asing(a1)),asing(asing(asing(a1)))) = apow(asing(a1)) ),
    inference(superposition,[status(thm)],[c_73,c_2470]) ).

cnf(c_4698,plain,
    ( ~ ain(a0,aun(a3,asing(apow(a2))))
    | ~ asubq(asing(apow(a2)),apow(asing(a1)))
    | ~ ain(asing(a1),apow(asing(a2)))
    | ~ asubq(a3,apow(asing(a1)))
    | aun(a3,asing(apow(a2))) = apow(asing(a1))
    | ain(asing(a1),asing(asing(a2))) ),
    inference(superposition,[status(thm)],[c_118,c_2470]) ).

cnf(c_4699,plain,
    ( ~ ain(a0,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
    | ~ asubq(aun(asing(a1),asing(asing(a1))),apow(asing(a1)))
    | ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
    | ~ ain(asing(a1),apow(a2))
    | aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))) = apow(asing(a1))
    | ain(asing(a1),asing(a2)) ),
    inference(superposition,[status(thm)],[c_3574,c_2470]) ).

cnf(c_4700,plain,
    ( ~ ain(a0,aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))))
    | ~ asubq(asm(apow(a2),apow(asing(a2))),apow(asing(a1)))
    | ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
    | ~ ain(asing(a1),apow(a2))
    | aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))) = apow(asing(a1)) ),
    inference(superposition,[status(thm)],[c_2173,c_2470]) ).

cnf(c_4716,plain,
    ( ~ ain(a0,aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))))
    | ~ asubq(aun(asing(a1),asing(asing(a1))),apow(asing(a1)))
    | ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
    | ~ ain(asing(a1),apow(a2))
    | aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))) = apow(asing(a1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4699,c_64]) ).

cnf(c_4765,plain,
    ( ~ asubq(aun(X0,X1),a2)
    | ~ asubq(X0,asing(a2))
    | ~ asubq(X1,asing(a2))
    | asubq(aun(X0,X1),asing(a1)) ),
    inference(superposition,[status(thm)],[c_49,c_3081]) ).

cnf(c_4767,plain,
    ( ~ ain(aun(X0,X1),a3)
    | ~ asubq(X0,asing(a2))
    | ~ asubq(X1,asing(a2))
    | asubq(aun(X0,X1),asing(a1)) ),
    inference(superposition,[status(thm)],[c_1860,c_3081]) ).

cnf(c_4802,plain,
    ( ~ asubq(asm(asm(apow(a2),a2),asing(asing(a1))),a2)
    | asubq(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a1)) ),
    inference(superposition,[status(thm)],[c_49,c_3082]) ).

cnf(c_4804,plain,
    ( ~ ain(asm(asm(apow(a2),a2),asing(asing(a1))),a3)
    | asubq(asm(asm(apow(a2),a2),asing(asing(a1))),asing(a1)) ),
    inference(superposition,[status(thm)],[c_1860,c_3082]) ).

cnf(c_4834,plain,
    ( ~ ain(a0,asing(a0))
    | ~ ain(a0,a4)
    | ain(a0,asing(asing(a2)))
    | asubq(a1,asing(apow(a2)))
    | ain(a0,a3) ),
    inference(superposition,[status(thm)],[c_4038,c_61]) ).

cnf(c_4835,plain,
    ( ~ ain(a0,asing(a0))
    | ain(a0,asing(asing(a2)))
    | asubq(a1,asing(apow(a2)))
    | ain(a0,a3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4834,c_1857]) ).

cnf(c_4893,plain,
    ( ~ ain(X0,apow(a2))
    | ain(X0,apow(asing(asing(a1))))
    | ain(X0,asing(asing(a1)))
    | ain(X0,asing(a2))
    | ain(X0,asing(a1)) ),
    inference(superposition,[status(thm)],[c_4678,c_55]) ).

cnf(c_4894,plain,
    ( ~ ain(a0,apow(a2))
    | asubq(a1,aun(asing(a1),asing(asing(a1))))
    | ain(a0,apow(asing(asing(a1))))
    | ain(a0,asing(a2)) ),
    inference(superposition,[status(thm)],[c_4678,c_61]) ).

cnf(c_4895,plain,
    ( ~ ain(a0,aun(asing(a1),asing(asing(a1))))
    | ~ asubq(asing(asing(a1)),apow(asing(a1)))
    | ~ asubq(asing(a1),apow(asing(a1)))
    | ~ ain(asing(a1),apow(a2))
    | aun(asing(a1),asing(asing(a1))) = apow(asing(a1))
    | ain(asing(a1),apow(asing(asing(a1))))
    | ain(asing(a1),asing(a2)) ),
    inference(superposition,[status(thm)],[c_4678,c_2470]) ).

cnf(c_4896,plain,
    ( asubq(a1,aun(asing(a1),asing(asing(a1))))
    | ain(a0,apow(asing(asing(a1))))
    | ain(a0,asing(a2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4894,c_62]) ).

cnf(c_4905,plain,
    ( ~ ain(a0,aun(asing(a1),asing(asing(a1))))
    | ~ asubq(asing(asing(a1)),apow(asing(a1)))
    | ~ asubq(asing(a1),apow(asing(a1)))
    | ~ ain(asing(a1),apow(a2))
    | aun(asing(a1),asing(asing(a1))) = apow(asing(a1))
    | ain(asing(a1),apow(asing(asing(a1)))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_4895,c_64]) ).

cnf(c_4940,plain,
    ( ~ ain(X0,a4)
    | asing(a1) = X0
    | ain(X0,asing(a2))
    | ain(X0,asing(a3))
    | asubq(X0,asing(a2))
    | ain(X0,a2) ),
    inference(superposition,[status(thm)],[c_3646,c_2395]) ).

cnf(c_5037,plain,
    ( ~ ain(X0,apow(a2))
    | ain(X0,asing(asing(a1)))
    | asubq(X0,asing(asing(a1)))
    | ain(X0,asing(a2))
    | ain(X0,asing(a1)) ),
    inference(superposition,[status(thm)],[c_4893,c_54]) ).

cnf(c_5038,plain,
    ( ~ ain(a0,apow(a2))
    | asubq(a1,apow(asing(asing(a1))))
    | ain(a0,asing(asing(a1)))
    | ain(a0,asing(a2))
    | ain(a0,asing(a1)) ),
    inference(superposition,[status(thm)],[c_4893,c_61]) ).

cnf(c_5044,plain,
    ( asubq(a1,apow(asing(asing(a1))))
    | ain(a0,asing(asing(a1)))
    | ain(a0,asing(a2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5038,c_1881,c_62]) ).

cnf(c_5111,plain,
    ( ain(X0,asing(a3))
    | ain(X0,apow(a2))
    | ain(X0,asing(asing(a2)))
    | ain(X0,asing(apow(a2)))
    | ~ ain(X0,a4) ),
    inference(global_subsumption_just,[status(thm)],[c_4037,c_1860,c_4037]) ).

cnf(c_5112,plain,
    ( ~ ain(X0,a4)
    | ain(X0,asing(apow(a2)))
    | ain(X0,asing(asing(a2)))
    | ain(X0,apow(a2))
    | ain(X0,asing(a3)) ),
    inference(renaming,[status(thm)],[c_5111]) ).

cnf(c_5196,plain,
    ( ~ ain(X0,apow(aun(asing(a1),asing(asing(a1)))))
    | ain(X0,asing(aun(asing(a1),asing(asing(a1)))))
    | ain(X0,asing(asing(asing(a1))))
    | ain(X0,asing(asing(a1)))
    | ain(X0,asing(a0)) ),
    inference(superposition,[status(thm)],[c_3148,c_55]) ).

cnf(c_5236,plain,
    ( ~ asubq(a0,asing(a1))
    | ~ ain(a0,a4)
    | ain(a0,asing(asing(a2)))
    | asubq(a1,asing(apow(a2)))
    | ain(a0,asing(a3))
    | ain(a0,a3) ),
    inference(superposition,[status(thm)],[c_4286,c_61]) ).

cnf(c_5237,plain,
    ( ~ asubq(a0,asing(a1))
    | ain(a0,asing(asing(a2)))
    | asubq(a1,asing(apow(a2)))
    | ain(a0,asing(a3))
    | ain(a0,a3) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5236,c_1857]) ).

cnf(c_5292,plain,
    ( ~ ain(asm(a3,asing(a1)),a4)
    | ain(asm(a3,asing(a1)),asing(a3))
    | asubq(asm(a3,asing(a1)),asing(a2))
    | ain(asm(a3,asing(a1)),a3) ),
    inference(superposition,[status(thm)],[c_3662,c_2395]) ).

cnf(c_5343,plain,
    ( ~ asubq(X0,aun(asing(a1),asing(asing(a1))))
    | ain(X0,asing(aun(asing(a1),asing(asing(a1)))))
    | ain(X0,asing(asing(asing(a1))))
    | ain(X0,asing(asing(a1)))
    | ain(X0,asing(a0)) ),
    inference(superposition,[status(thm)],[c_49,c_5196]) ).

cnf(c_5362,plain,
    ( ~ asubq(a0,aun(asing(a1),asing(asing(a1))))
    | asubq(a1,asing(aun(asing(a1),asing(asing(a1)))))
    | ain(a0,asing(asing(asing(a1))))
    | ain(a0,asing(asing(a1)))
    | ain(a0,asing(a0)) ),
    inference(superposition,[status(thm)],[c_5343,c_61]) ).

cnf(c_5393,plain,
    ( ~ ain(a0,apow(aun(asing(a1),asing(asing(a1)))))
    | ~ asubq(asing(asing(asing(a1))),apow(asing(a1)))
    | ~ asubq(asing(asing(a1)),apow(asing(a1)))
    | aun(asing(asing(a1)),asing(asing(asing(a1)))) = apow(asing(a1))
    | ain(a0,asing(aun(asing(a1),asing(asing(a1)))))
    | ain(a0,asing(a0)) ),
    inference(superposition,[status(thm)],[c_3148,c_4697]) ).

cnf(c_5442,plain,
    ( ~ asubq(asing(asing(a1)),apow(asing(a1)))
    | ~ asubq(asing(a1),apow(asing(a1)))
    | ~ ain(asing(a1),apow(a2))
    | ~ ain(a0,apow(a2))
    | aun(asing(a1),asing(asing(a1))) = apow(asing(a1))
    | ain(asing(a1),apow(asing(asing(a1))))
    | ain(a0,apow(asing(asing(a1))))
    | ain(a0,asing(a2)) ),
    inference(superposition,[status(thm)],[c_4678,c_4905]) ).

cnf(c_5443,plain,
    ( ~ asubq(asing(asing(a1)),apow(asing(a1)))
    | ~ asubq(asing(a1),apow(asing(a1)))
    | ~ ain(asing(a1),apow(a2))
    | aun(asing(a1),asing(asing(a1))) = apow(asing(a1))
    | ain(asing(a1),apow(asing(asing(a1))))
    | ain(a0,apow(asing(asing(a1))))
    | ain(a0,asing(a2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5442,c_62]) ).

cnf(c_5475,plain,
    ( ~ asubq(asm(apow(a2),apow(asing(a2))),apow(asing(a1)))
    | ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
    | ~ ain(asing(a1),apow(a2))
    | ~ ain(a0,apow(a2))
    | aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))) = apow(asing(a1)) ),
    inference(superposition,[status(thm)],[c_2173,c_4700]) ).

cnf(c_5476,plain,
    ( ~ asubq(asm(apow(a2),apow(asing(a2))),apow(asing(a1)))
    | ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
    | ~ ain(asing(a1),apow(a2))
    | aun(asm(apow(a2),apow(asing(a2))),apow(asing(asing(a1)))) = apow(asing(a1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5475,c_62]) ).

cnf(c_5505,plain,
    ( ~ asubq(asing(asing(asing(a1))),apow(asing(a1)))
    | ~ asubq(a0,aun(asing(a1),asing(asing(a1))))
    | ~ asubq(asing(asing(a1)),apow(asing(a1)))
    | aun(asing(asing(a1)),asing(asing(asing(a1)))) = apow(asing(a1))
    | ain(a0,asing(aun(asing(a1),asing(asing(a1)))))
    | ain(a0,asing(a0)) ),
    inference(superposition,[status(thm)],[c_49,c_5393]) ).

cnf(c_5524,plain,
    ( ~ asubq(asing(asing(asing(a1))),apow(asing(a1)))
    | ~ asubq(a0,aun(asing(a1),asing(asing(a1))))
    | ~ asubq(asing(asing(a1)),apow(asing(a1)))
    | aun(asing(asing(a1)),asing(asing(asing(a1)))) = apow(asing(a1))
    | asubq(a1,asing(aun(asing(a1),asing(asing(a1)))))
    | ain(a0,asing(a0)) ),
    inference(superposition,[status(thm)],[c_5505,c_61]) ).

cnf(c_5553,plain,
    ( ~ asubq(aun(asing(a1),asing(asing(a1))),apow(asing(a1)))
    | ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
    | ~ ain(asing(a1),apow(a2))
    | ~ ain(a0,apow(a2))
    | aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))) = apow(asing(a1))
    | ain(a0,asing(a2)) ),
    inference(superposition,[status(thm)],[c_3574,c_4716]) ).

cnf(c_5554,plain,
    ( ~ asubq(aun(asing(a1),asing(asing(a1))),apow(asing(a1)))
    | ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
    | ~ ain(asing(a1),apow(a2))
    | aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))) = apow(asing(a1))
    | ain(a0,asing(a2)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_5553,c_62]) ).

cnf(c_5570,plain,
    ( ~ asubq(apow(asing(asing(a1))),apow(asing(a1)))
    | ~ asubq(asing(asing(a1)),apow(asing(a1)))
    | ~ asubq(asing(a1),apow(asing(a1)))
    | ~ ain(asing(a1),apow(a2))
    | aun(aun(asing(a1),asing(asing(a1))),apow(asing(asing(a1)))) = apow(asing(a1))
    | ain(a0,asing(a2)) ),
    inference(superposition,[status(thm)],[c_57,c_5554]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO844+1 : TPTP v8.1.2. Released v7.5.0.
% 0.00/0.13  % Command  : run_iprover %s %d SAT
% 0.14/0.34  % Computer : n014.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 00:04:47 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.20/0.47  Running model finding
% 0.20/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.62/1.14  % SZS status Started for theBenchmark.p
% 3.62/1.14  % SZS status CounterSatisfiable for theBenchmark.p
% 3.62/1.14  
% 3.62/1.14  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.62/1.14  
% 3.62/1.14  ------  iProver source info
% 3.62/1.14  
% 3.62/1.14  git: date: 2023-05-31 18:12:56 +0000
% 3.62/1.14  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.62/1.14  git: non_committed_changes: false
% 3.62/1.14  git: last_make_outside_of_git: false
% 3.62/1.14  
% 3.62/1.14  ------ Parsing...
% 3.62/1.14  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.62/1.14  
% 3.62/1.14  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 3.62/1.14  
% 3.62/1.14  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.62/1.14  
% 3.62/1.14  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.62/1.14  ------ Proving...
% 3.62/1.14  ------ Problem Properties 
% 3.62/1.14  
% 3.62/1.14  
% 3.62/1.14  clauses                                 68
% 3.62/1.14  conjectures                             1
% 3.62/1.14  EPR                                     2
% 3.62/1.14  Horn                                    60
% 3.62/1.14  unary                                   51
% 3.62/1.14  binary                                  6
% 3.62/1.14  lits                                    100
% 3.62/1.14  lits eq                                 14
% 3.62/1.14  fd_pure                                 0
% 3.62/1.14  fd_pseudo                               0
% 3.62/1.14  fd_cond                                 4
% 3.62/1.14  fd_pseudo_cond                          0
% 3.62/1.14  AC symbols                              0
% 3.62/1.14  
% 3.62/1.14  ------ Schedule dynamic 5 is on 
% 3.62/1.14  
% 3.62/1.14  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.62/1.14  
% 3.62/1.14  
% 3.62/1.14  ------ 
% 3.62/1.14  Current options:
% 3.62/1.14  ------ 
% 3.62/1.14  
% 3.62/1.14  
% 3.62/1.14  
% 3.62/1.14  
% 3.62/1.14  ------ Proving...
% 3.62/1.14  
% 3.62/1.14  
% 3.62/1.14  % SZS status CounterSatisfiable for theBenchmark.p
% 3.62/1.14  
% 3.62/1.14  % SZS output start Saturation for theBenchmark.p
% See solution above
% 4.12/1.15  
% 4.12/1.15  ------                               Statistics
% 4.12/1.15  
% 4.12/1.15  ------ Problem properties
% 4.12/1.15  
% 4.12/1.15  clauses:                                68
% 4.12/1.15  conjectures:                            1
% 4.12/1.15  epr:                                    2
% 4.12/1.15  horn:                                   60
% 4.12/1.15  ground:                                 51
% 4.12/1.15  unary:                                  51
% 4.12/1.15  binary:                                 6
% 4.12/1.15  lits:                                   100
% 4.12/1.15  lits_eq:                                14
% 4.12/1.15  fd_pure:                                0
% 4.12/1.15  fd_pseudo:                              0
% 4.12/1.15  fd_cond:                                4
% 4.12/1.15  fd_pseudo_cond:                         0
% 4.12/1.15  ac_symbols:                             0
% 4.12/1.15  
% 4.12/1.15  ------ General
% 4.12/1.15  
% 4.12/1.15  abstr_ref_over_cycles:                  0
% 4.12/1.15  abstr_ref_under_cycles:                 0
% 4.12/1.15  gc_basic_clause_elim:                   0
% 4.12/1.15  num_of_symbols:                         110
% 4.12/1.15  num_of_terms:                           1948
% 4.12/1.15  
% 4.12/1.15  parsing_time:                           0.011
% 4.12/1.15  unif_index_cands_time:                  0.001
% 4.12/1.15  unif_index_add_time:                    0.002
% 4.12/1.15  orderings_time:                         0.
% 4.12/1.15  out_proof_time:                         0.011
% 4.12/1.15  total_time:                             0.308
% 4.12/1.15  
% 4.12/1.15  ------ Preprocessing
% 4.12/1.15  
% 4.12/1.15  num_of_splits:                          0
% 4.12/1.15  num_of_split_atoms:                     0
% 4.12/1.15  num_of_reused_defs:                     0
% 4.12/1.15  num_eq_ax_congr_red:                    0
% 4.12/1.15  num_of_sem_filtered_clauses:            1
% 4.12/1.15  num_of_subtypes:                        0
% 4.12/1.15  monotx_restored_types:                  0
% 4.12/1.15  sat_num_of_epr_types:                   0
% 4.12/1.15  sat_num_of_non_cyclic_types:            0
% 4.12/1.15  sat_guarded_non_collapsed_types:        0
% 4.12/1.15  num_pure_diseq_elim:                    0
% 4.12/1.15  simp_replaced_by:                       0
% 4.12/1.15  res_preprocessed:                       0
% 4.12/1.15  sup_preprocessed:                       2
% 4.12/1.15  prep_upred:                             0
% 4.12/1.15  prep_unflattend:                        1
% 4.12/1.15  prep_well_definedness:                  0
% 4.12/1.15  smt_new_axioms:                         0
% 4.12/1.15  pred_elim_cands:                        3
% 4.12/1.15  pred_elim:                              1
% 4.12/1.15  pred_elim_cl:                           1
% 4.12/1.15  pred_elim_cycles:                       3
% 4.12/1.15  merged_defs:                            8
% 4.12/1.15  merged_defs_ncl:                        0
% 4.12/1.15  bin_hyper_res:                          8
% 4.12/1.15  prep_cycles:                            4
% 4.12/1.15  
% 4.12/1.15  splitting_time:                         0.
% 4.12/1.15  sem_filter_time:                        0.006
% 4.12/1.15  monotx_time:                            0.
% 4.12/1.15  subtype_inf_time:                       0.
% 4.12/1.15  res_prep_time:                          0.028
% 4.12/1.15  sup_prep_time:                          0.007
% 4.12/1.15  pred_elim_time:                         0.003
% 4.12/1.15  bin_hyper_res_time:                     0.004
% 4.12/1.15  prep_time_total:                        0.06
% 4.12/1.15  
% 4.12/1.15  ------ Propositional Solver
% 4.12/1.15  
% 4.12/1.15  prop_solver_calls:                      14
% 4.12/1.15  prop_fast_solver_calls:                 2765
% 4.12/1.15  smt_solver_calls:                       0
% 4.12/1.15  smt_fast_solver_calls:                  0
% 4.12/1.15  prop_num_of_clauses:                    736
% 4.12/1.15  prop_preprocess_simplified:             4403
% 4.12/1.15  prop_fo_subsumed:                       99
% 4.12/1.15  
% 4.12/1.15  prop_solver_time:                       0.
% 4.12/1.15  prop_fast_solver_time:                  0.002
% 4.12/1.15  prop_unsat_core_time:                   0.
% 4.12/1.15  smt_solver_time:                        0.
% 4.12/1.15  smt_fast_solver_time:                   0.
% 4.12/1.15  
% 4.12/1.15  ------ QBF
% 4.12/1.15  
% 4.12/1.15  qbf_q_res:                              0
% 4.12/1.15  qbf_num_tautologies:                    0
% 4.12/1.15  qbf_prep_cycles:                        0
% 4.12/1.15  
% 4.12/1.15  ------ BMC1
% 4.12/1.15  
% 4.12/1.15  bmc1_current_bound:                     -1
% 4.12/1.15  bmc1_last_solved_bound:                 -1
% 4.12/1.15  bmc1_unsat_core_size:                   -1
% 4.12/1.15  bmc1_unsat_core_parents_size:           -1
% 4.12/1.15  bmc1_merge_next_fun:                    0
% 4.12/1.15  
% 4.12/1.15  bmc1_unsat_core_clauses_time:           0.
% 4.12/1.15  
% 4.12/1.15  ------ Instantiation
% 4.12/1.15  
% 4.12/1.15  inst_num_of_clauses:                    240
% 4.12/1.15  inst_num_in_passive:                    114
% 4.12/1.15  inst_num_in_active:                     91
% 4.12/1.15  inst_num_of_loops:                      97
% 4.12/1.15  inst_num_in_unprocessed:                35
% 4.12/1.15  inst_num_of_learning_restarts:          0
% 4.12/1.15  inst_num_moves_active_passive:          4
% 4.12/1.15  inst_lit_activity:                      0
% 4.12/1.15  inst_lit_activity_moves:                0
% 4.12/1.15  inst_num_tautologies:                   0
% 4.12/1.15  inst_num_prop_implied:                  0
% 4.12/1.15  inst_num_existing_simplified:           0
% 4.12/1.15  inst_num_eq_res_simplified:             0
% 4.12/1.15  inst_num_child_elim:                    0
% 4.12/1.15  inst_num_of_dismatching_blockings:      28
% 4.12/1.15  inst_num_of_non_proper_insts:           161
% 4.12/1.15  inst_num_of_duplicates:                 0
% 4.12/1.15  inst_inst_num_from_inst_to_res:         0
% 4.12/1.15  
% 4.12/1.15  inst_time_sim_new:                      0.005
% 4.12/1.15  inst_time_sim_given:                    0.
% 4.12/1.15  inst_time_dismatching_checking:         0.
% 4.12/1.15  inst_time_total:                        0.012
% 4.12/1.15  
% 4.12/1.15  ------ Resolution
% 4.12/1.15  
% 4.12/1.15  res_num_of_clauses:                     78
% 4.12/1.15  res_num_in_passive:                     0
% 4.12/1.15  res_num_in_active:                      0
% 4.12/1.15  res_num_of_loops:                       298
% 4.12/1.15  res_forward_subset_subsumed:            8
% 4.12/1.15  res_backward_subset_subsumed:           0
% 4.12/1.15  res_forward_subsumed:                   0
% 4.12/1.15  res_backward_subsumed:                  0
% 4.12/1.15  res_forward_subsumption_resolution:     0
% 4.12/1.15  res_backward_subsumption_resolution:    0
% 4.12/1.15  res_clause_to_clause_subsumption:       1635
% 4.12/1.15  res_subs_bck_cnt:                       16
% 4.12/1.15  res_orphan_elimination:                 0
% 4.12/1.15  res_tautology_del:                      8
% 4.12/1.15  res_num_eq_res_simplified:              0
% 4.12/1.15  res_num_sel_changes:                    0
% 4.12/1.15  res_moves_from_active_to_pass:          0
% 4.12/1.15  
% 4.12/1.15  res_time_sim_new:                       0.004
% 4.12/1.15  res_time_sim_fw_given:                  0.011
% 4.12/1.15  res_time_sim_bw_given:                  0.006
% 4.12/1.15  res_time_total:                         0.006
% 4.12/1.15  
% 4.12/1.15  ------ Superposition
% 4.12/1.15  
% 4.12/1.15  sup_num_of_clauses:                     98
% 4.12/1.15  sup_num_in_active:                      58
% 4.12/1.15  sup_num_in_passive:                     40
% 4.12/1.15  sup_num_of_loops:                       385
% 4.12/1.15  sup_fw_superposition:                   235
% 4.12/1.15  sup_bw_superposition:                   304
% 4.12/1.15  sup_eq_factoring:                       0
% 4.12/1.15  sup_eq_resolution:                      0
% 4.12/1.15  sup_immediate_simplified:               0
% 4.12/1.15  sup_given_eliminated:                   2
% 4.12/1.15  comparisons_done:                       523
% 4.12/1.15  comparisons_avoided:                    0
% 4.12/1.15  comparisons_inc_criteria:               0
% 4.12/1.15  sup_deep_cl_discarded:                  0
% 4.12/1.15  sup_num_of_deepenings:                  0
% 4.12/1.15  sup_num_of_restarts:                    0
% 4.12/1.15  
% 4.12/1.15  sup_time_generating:                    0.019
% 4.12/1.15  sup_time_sim_fw_full:                   0.021
% 4.12/1.15  sup_time_sim_bw_full:                   0.066
% 4.12/1.15  sup_time_sim_fw_immed:                  0.003
% 4.12/1.15  sup_time_sim_bw_immed:                  0.011
% 4.12/1.15  sup_time_prep_sim_fw_input:             0.002
% 4.12/1.15  sup_time_prep_sim_bw_input:             0.004
% 4.12/1.15  sup_time_total:                         0.172
% 4.12/1.15  
% 4.12/1.15  ------ Simplifications
% 4.12/1.15  
% 4.12/1.15  sim_repeated:                           76
% 4.12/1.15  sim_fw_subset_subsumed:                 90
% 4.12/1.15  sim_bw_subset_subsumed:                 4
% 4.12/1.15  sim_fw_subsumed:                        21
% 4.12/1.15  sim_bw_subsumed:                        2
% 4.12/1.15  sim_fw_subsumption_res:                 3
% 4.12/1.15  sim_bw_subsumption_res:                 0
% 4.12/1.15  sim_fw_unit_subs:                       39
% 4.12/1.15  sim_bw_unit_subs:                       0
% 4.12/1.15  sim_tautology_del:                      53
% 4.12/1.15  sim_eq_tautology_del:                   9
% 4.12/1.15  sim_eq_res_simp:                        0
% 4.12/1.15  sim_fw_demodulated:                     0
% 4.12/1.15  sim_bw_demodulated:                     1
% 4.12/1.15  sim_encompassment_demod:                0
% 4.12/1.15  sim_light_normalised:                   1
% 4.12/1.15  sim_ac_normalised:                      0
% 4.12/1.15  sim_joinable_taut:                      0
% 4.12/1.15  sim_joinable_simp:                      0
% 4.12/1.15  sim_fw_ac_demod:                        0
% 4.12/1.15  sim_bw_ac_demod:                        0
% 4.12/1.15  sim_smt_subsumption:                    0
% 4.12/1.15  sim_smt_simplified:                     0
% 4.12/1.15  sim_ground_joinable:                    0
% 4.12/1.15  sim_bw_ground_joinable:                 0
% 4.12/1.15  sim_connectedness:                      0
% 4.12/1.15  
% 4.12/1.15  sim_time_fw_subset_subs:                0.
% 4.12/1.15  sim_time_bw_subset_subs:                0.
% 4.12/1.15  sim_time_fw_subs:                       0.005
% 4.12/1.15  sim_time_bw_subs:                       0.006
% 4.12/1.15  sim_time_fw_subs_res:                   0.013
% 4.12/1.15  sim_time_bw_subs_res:                   0.
% 4.12/1.15  sim_time_fw_unit_subs:                  0.001
% 4.12/1.15  sim_time_bw_unit_subs:                  0.
% 4.12/1.15  sim_time_tautology_del:                 0.
% 4.12/1.15  sim_time_eq_tautology_del:              0.
% 4.12/1.15  sim_time_eq_res_simp:                   0.
% 4.12/1.15  sim_time_fw_demod:                      0.001
% 4.12/1.15  sim_time_bw_demod:                      0.
% 4.12/1.15  sim_time_light_norm:                    0.002
% 4.12/1.15  sim_time_joinable:                      0.
% 4.12/1.15  sim_time_ac_norm:                       0.
% 4.12/1.15  sim_time_fw_ac_demod:                   0.
% 4.12/1.15  sim_time_bw_ac_demod:                   0.
% 4.12/1.15  sim_time_smt_subs:                      0.
% 4.12/1.15  sim_time_fw_gjoin:                      0.
% 4.12/1.15  sim_time_fw_connected:                  0.
% 4.12/1.15  
% 4.12/1.16  
%------------------------------------------------------------------------------