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iProver---3.9.4.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN540-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n001.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:40:44 PM UTC 2026

% Result   : Satisfiable 2.19s 1.13s
% Output   : Saturation 2.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ( c1_0
    | ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f10,negated_conjecture,
    ( c5_0
    | ndr1_1(a698) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).

fof(f15,negated_conjecture,
    ( c2_0
    | ~ c1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).

fof(f16,negated_conjecture,
    ( c2_0
    | ~ c4_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).

fof(f18,negated_conjecture,
    ( ssSkC5
    | ndr1_1(a717) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).

fof(f19,negated_conjecture,
    ( ssSkC5
    | c4_1(a717) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).

fof(f21,negated_conjecture,
    ( ssSkC3
    | ndr1_1(a706) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).

fof(f22,negated_conjecture,
    ( ssSkC1
    | ndr1_1(a687) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).

fof(f23,negated_conjecture,
    ! [X0] :
      ( ssSkP0(X0)
      | ndr1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).

fof(f24,negated_conjecture,
    ( c1_0
    | ndr1_1(a723)
    | ~ ssSkC6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).

fof(f25,negated_conjecture,
    ( ndr1_0
    | ~ c3_0
    | ~ ssSkC5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).

fof(f27,negated_conjecture,
    ( c4_0
    | ~ c3_1(a694) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).

fof(f28,negated_conjecture,
    ( c4_0
    | ~ c1_1(a694) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).

fof(f29,negated_conjecture,
    ( c3_0
    | c2_1(a693)
    | ~ ssSkC2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).

fof(f30,negated_conjecture,
    ( c4_0
    | ndr1_1(a689)
    | ~ ssSkC1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

fof(f31,negated_conjecture,
    ( c3_0
    | ndr1_1(a685)
    | ~ ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

fof(f32,negated_conjecture,
    ( c3_0
    | c2_0
    | ~ c5_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f33,negated_conjecture,
    ( ~ c1_0
    | ~ c2_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f34,negated_conjecture,
    ( ssSkC5
    | c5_2(a717,a718) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ( ssSkC5
    | c1_2(a717,a718) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ( ssSkC3
    | ~ c4_1(a706) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ( ssSkC2
    | ~ c1_1(a692) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ( ssSkC2
    | ~ c4_1(a692) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ( ssSkC1
    | c4_2(a687,a688) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( ssSkC1
    | c2_2(a687,a688) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ( ssSkC1
    | ~ c1_1(a687) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ! [X0] :
      ( ssSkP0(X0)
      | c4_2(X0,a683) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ! [X0] :
      ( ssSkP0(X0)
      | c1_2(X0,a683) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ( c1_0
    | c4_2(a723,a724)
    | ~ ssSkC6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ( c1_0
    | c2_2(a723,a724)
    | ~ ssSkC6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f47,negated_conjecture,
    ( c1_0
    | ndr1_1(a713)
    | ~ c3_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f49,negated_conjecture,
    ( c5_0
    | ~ c4_2(a698,a699) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( c5_0
    | ~ c1_2(a698,a699) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f53,negated_conjecture,
    ( c3_0
    | ~ c5_1(a693)
    | ~ ssSkC2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause53) ).

fof(f55,negated_conjecture,
    ( c4_0
    | c1_2(a689,a691)
    | ~ ssSkC1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

fof(f56,negated_conjecture,
    ( c4_0
    | c2_2(a689,a690)
    | ~ ssSkC1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( c4_0
    | c3_2(a689,a690)
    | ~ ssSkC1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f59,negated_conjecture,
    ( c1_0
    | ~ c4_0
    | ~ c2_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

fof(f61,negated_conjecture,
    ( ssSkC3
    | ~ c1_2(a706,a707) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( ssSkC3
    | ~ c5_2(a706,a707) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f63,negated_conjecture,
    ( ssSkC1
    | ~ c5_2(a687,a688) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

fof(f64,negated_conjecture,
    ( c1_0
    | ~ c5_2(a723,a724)
    | ~ ssSkC6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause64) ).

fof(f73,negated_conjecture,
    ( c4_0
    | ~ c4_2(a689,a691)
    | ~ ssSkC1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( c4_0
    | ~ c1_2(a689,a690)
    | ~ ssSkC1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f75,negated_conjecture,
    ( c3_0
    | ~ c3_2(a685,a686)
    | ~ ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause75) ).

fof(f76,negated_conjecture,
    ( c3_0
    | ~ c5_2(a685,a686)
    | ~ ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( c3_0
    | ~ c4_2(a685,a686)
    | ~ ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ! [X0] :
      ( ssSkC0
      | ndr1_1(X0)
      | ~ ndr1_0
      | ~ ssSkP0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f81,negated_conjecture,
    ( c1_0
    | ~ c3_0
    | ~ c2_2(a713,a714) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f86,negated_conjecture,
    ! [X0] :
      ( ssSkC0
      | c1_2(X0,a684)
      | ~ ndr1_0
      | ~ ssSkP0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause86) ).

fof(f87,negated_conjecture,
    ! [X0] :
      ( c5_0
      | c4_0
      | ndr1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f88,negated_conjecture,
    ! [X0] :
      ( c3_0
      | c5_1(X0)
      | ndr1_1(X0)
      | ~ c5_0
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause88) ).

fof(f89,negated_conjecture,
    ! [X0] :
      ( c1_0
      | c2_2(a713,X0)
      | ~ c3_0
      | ~ ndr1_1(a713) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause89) ).

fof(f90,negated_conjecture,
    ! [X0] :
      ( ssSkC0
      | ~ ndr1_0
      | ~ c2_2(X0,a684)
      | ~ ssSkP0(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause90) ).

fof(f91,negated_conjecture,
    ! [X0] :
      ( c5_0
      | c4_0
      | c2_2(X0,a709)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ! [X0] :
      ( c5_0
      | c4_0
      | c4_2(X0,a709)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f94,negated_conjecture,
    ! [X0] :
      ( c5_0
      | c4_0
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_2(X0,a709) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause94) ).

fof(f95,negated_conjecture,
    ! [X0] :
      ( c3_0
      | c5_1(X0)
      | ~ c5_0
      | ~ ndr1_0
      | ~ c1_2(X0,a703) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ! [X0] :
      ( c3_0
      | c5_1(X0)
      | ~ c5_0
      | ~ ndr1_0
      | ~ c3_2(X0,a703) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ! [X0] :
      ( c1_0
      | c4_2(a702,X0)
      | ~ ndr1_1(a702)
      | ~ c1_2(a702,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ! [X0] :
      ( c1_0
      | c1_2(a702,X0)
      | ~ ndr1_1(a702)
      | ~ c5_2(a702,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f101,negated_conjecture,
    ! [X0] :
      ( c3_0
      | c2_2(a693,X0)
      | ~ ndr1_1(a693)
      | ~ c1_2(a693,X0)
      | ~ ssSkC2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause101) ).

fof(f102,negated_conjecture,
    ! [X0] :
      ( c3_0
      | c1_2(a685,X0)
      | ~ ndr1_1(a685)
      | ~ c2_2(a685,X0)
      | ~ ssSkC0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f105,negated_conjecture,
    ! [X0] :
      ( c5_0
      | c4_2(a698,X0)
      | c1_2(a698,X0)
      | c5_2(a698,X0)
      | ~ ndr1_1(a698) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

fof(f106,negated_conjecture,
    ! [X0] :
      ( c4_0
      | c3_2(a694,X0)
      | c4_2(a694,X0)
      | c2_2(a694,X0)
      | ~ ndr1_1(a694) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f107,negated_conjecture,
    ! [X0,X1] :
      ( c4_0
      | c1_1(X0)
      | c1_2(X0,X1)
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c2_2(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause107) ).

fof(f109,negated_conjecture,
    ! [X0] :
      ( ssSkC2
      | c2_2(a692,X0)
      | c4_2(a692,X0)
      | ~ ndr1_1(a692)
      | ~ c3_2(a692,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f110,negated_conjecture,
    ! [X0] :
      ( ssSkC6
      | c1_2(a722,X0)
      | ~ ndr1_1(a722)
      | ~ c3_2(a722,X0)
      | ~ c2_2(a722,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause110) ).

fof(f112,negated_conjecture,
    ! [X0] :
      ( ssSkC3
      | c2_2(a706,X0)
      | ~ ndr1_1(a706)
      | ~ c3_2(a706,X0)
      | ~ c5_2(a706,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ! [X0] :
      ( c4_0
      | c3_2(a689,X0)
      | ~ ndr1_1(a689)
      | ~ c4_2(a689,X0)
      | ~ c5_2(a689,X0)
      | ~ ssSkC1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ! [X0,X1] :
      ( c2_1(a696)
      | c4_1(X0)
      | c1_2(X0,X1)
      | ~ c1_0
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c3_2(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f117,negated_conjecture,
    ! [X0] :
      ( ssSkC1
      | ~ ndr1_1(a687)
      | ~ c4_2(a687,X0)
      | ~ c1_2(a687,X0)
      | ~ c2_2(a687,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f118,negated_conjecture,
    ! [X0] :
      ( c1_0
      | ~ ndr1_1(a723)
      | ~ c2_2(a723,X0)
      | ~ c5_2(a723,X0)
      | ~ c4_2(a723,X0)
      | ~ ssSkC6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause118) ).

fof(f119,negated_conjecture,
    ! [X0,X1] :
      ( c3_0
      | c4_2(X0,a711)
      | c1_2(X0,X1)
      | c2_2(X0,X1)
      | ~ ndr1_0
      | ~ c4_1(X0)
      | ~ ndr1_1(X0)
      | ~ ssSkC4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

fof(f120,negated_conjecture,
    ! [X0,X1] :
      ( ndr1_1(a704)
      | c3_1(X0)
      | ~ c2_0
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c2_2(X0,X1)
      | ~ c3_2(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause120) ).

fof(f121,negated_conjecture,
    ! [X0,X1] :
      ( c3_0
      | c1_2(X0,X1)
      | c2_2(X0,X1)
      | ~ ndr1_0
      | ~ c4_1(X0)
      | ~ c2_2(X0,a711)
      | ~ ndr1_1(X0)
      | ~ ssSkC4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ! [X0,X1] :
      ( c3_2(a704,a705)
      | c3_1(X0)
      | ~ c2_0
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c2_2(X0,X1)
      | ~ c3_2(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ! [X0,X1] :
      ( c4_2(a704,a705)
      | c3_1(X0)
      | ~ c2_0
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c2_2(X0,X1)
      | ~ c3_2(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ! [X0,X1] :
      ( c1_2(a704,a705)
      | c3_1(X0)
      | ~ c2_0
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c2_2(X0,X1)
      | ~ c3_2(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ! [X0,X1] :
      ( c3_1(X0)
      | ~ c2_0
      | ~ c4_1(a704)
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c2_2(X0,X1)
      | ~ c3_2(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ! [X0,X1] :
      ( c3_1(X0)
      | ~ c2_0
      | ~ c5_1(a704)
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c2_2(X0,X1)
      | ~ c3_2(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ! [X0,X1] :
      ( c4_0
      | c1_0
      | c2_1(X0)
      | c5_2(X0,a681)
      | c1_2(X0,X1)
      | c2_2(X0,X1)
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c4_2(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ! [X0,X1] :
      ( c4_0
      | c1_0
      | c2_1(X0)
      | c4_2(X0,a681)
      | c1_2(X0,X1)
      | c2_2(X0,X1)
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c4_2(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ! [X0,X1] :
      ( c4_0
      | c1_0
      | c2_1(X0)
      | c1_2(X0,X1)
      | c2_2(X0,X1)
      | ~ ndr1_0
      | ~ c1_2(X0,a681)
      | ~ ndr1_1(X0)
      | ~ c4_2(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f138,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_0
      | c3_2(X0,a695)
      | c3_2(X0,X1)
      | ~ ndr1_0
      | ~ c2_2(X0,X2)
      | ~ c1_2(X0,X2)
      | ~ ndr1_1(X0)
      | ~ c4_2(X0,X1)
      | ~ c2_2(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f139,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_0
      | c2_2(X0,a695)
      | c3_2(X0,X1)
      | ~ ndr1_0
      | ~ c2_2(X0,X2)
      | ~ c1_2(X0,X2)
      | ~ ndr1_1(X0)
      | ~ c4_2(X0,X1)
      | ~ c2_2(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause139) ).

fof(f140,negated_conjecture,
    ! [X0,X1] :
      ( c4_2(X0,X1)
      | ~ c4_0
      | ~ c5_0
      | ~ ndr1_0
      | ~ c4_1(X0)
      | ~ c5_2(X0,a712)
      | ~ ndr1_1(X0)
      | ~ c3_2(X0,X1)
      | ~ c1_2(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause140) ).

fof(f141,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( c4_0
      | c1_2(X1,a682)
      | c5_2(X1,X3)
      | c3_2(X1,X2)
      | c5_1(X0)
      | ~ c2_2(X1,X3)
      | ~ ndr1_1(X1)
      | ~ c2_2(X1,X2)
      | ~ c4_2(X1,X2)
      | ~ ndr1_0
      | ~ c4_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

fof(f142,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( c4_0
      | c5_2(X1,X3)
      | c3_2(X1,X2)
      | c5_1(X0)
      | ~ c4_2(X1,a682)
      | ~ c2_2(X1,X3)
      | ~ ndr1_1(X1)
      | ~ c2_2(X1,X2)
      | ~ c4_2(X1,X2)
      | ~ ndr1_0
      | ~ c4_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause142) ).

tcf(c_191,negated_conjecture,
    ( c1_0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_200,negated_conjecture,
    ( c5_0
    | ndr1_1(a698) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_205,negated_conjecture,
    ( c2_0
    | ~ c1_0 ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_206,negated_conjecture,
    ( c2_0
    | ~ c4_0 ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_208,negated_conjecture,
    ( ssSkC5
    | ndr1_1(a717) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_209,negated_conjecture,
    ( ssSkC5
    | c4_1(a717) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_211,negated_conjecture,
    ( ssSkC3
    | ndr1_1(a706) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_212,negated_conjecture,
    ( ssSkC1
    | ndr1_1(a687) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_213,negated_conjecture,
    ! [X0: $i] :
      ( ssSkP0(X0)
      | ndr1_1(X0) ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_214,negated_conjecture,
    ( c1_0
    | ndr1_1(a723)
    | ~ ssSkC6 ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_215,negated_conjecture,
    ( ndr1_0
    | ~ c3_0
    | ~ ssSkC5 ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_217,negated_conjecture,
    ( c4_0
    | ~ c3_1(a694) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_218,negated_conjecture,
    ( c4_0
    | ~ c1_1(a694) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_219,negated_conjecture,
    ( c3_0
    | c2_1(a693)
    | ~ ssSkC2 ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_220,negated_conjecture,
    ( c4_0
    | ndr1_1(a689)
    | ~ ssSkC1 ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_221,negated_conjecture,
    ( c3_0
    | ndr1_1(a685)
    | ~ ssSkC0 ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_222,negated_conjecture,
    ( c2_0
    | c3_0
    | ~ c5_0 ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_223,negated_conjecture,
    ( ~ c2_0
    | ~ c1_0 ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_224,negated_conjecture,
    ( ssSkC5
    | c5_2(a717,a718) ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_225,negated_conjecture,
    ( ssSkC5
    | c1_2(a717,a718) ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_226,negated_conjecture,
    ( ssSkC3
    | ~ c4_1(a706) ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_227,negated_conjecture,
    ( ssSkC2
    | ~ c1_1(a692) ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_228,negated_conjecture,
    ( ssSkC2
    | ~ c4_1(a692) ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_229,negated_conjecture,
    ( ssSkC1
    | c4_2(a687,a688) ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_230,negated_conjecture,
    ( ssSkC1
    | c2_2(a687,a688) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_231,negated_conjecture,
    ( ssSkC1
    | ~ c1_1(a687) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_232,negated_conjecture,
    ! [X0: $i] :
      ( ssSkP0(X0)
      | c4_2(X0,a683) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_233,negated_conjecture,
    ! [X0: $i] :
      ( ssSkP0(X0)
      | c1_2(X0,a683) ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_234,negated_conjecture,
    ( c1_0
    | c4_2(a723,a724)
    | ~ ssSkC6 ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_235,negated_conjecture,
    ( c1_0
    | c2_2(a723,a724)
    | ~ ssSkC6 ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_237,negated_conjecture,
    ( c1_0
    | ndr1_1(a713)
    | ~ c3_0 ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_239,negated_conjecture,
    ( c5_0
    | ~ c4_2(a698,a699) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_240,negated_conjecture,
    ( c5_0
    | ~ c1_2(a698,a699) ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_243,negated_conjecture,
    ( c3_0
    | ~ ssSkC2
    | ~ c5_1(a693) ),
    inference(cnf_transformation,[],[f53]) ).

tcf(c_245,negated_conjecture,
    ( c4_0
    | c1_2(a689,a691)
    | ~ ssSkC1 ),
    inference(cnf_transformation,[],[f55]) ).

tcf(c_246,negated_conjecture,
    ( c4_0
    | c2_2(a689,a690)
    | ~ ssSkC1 ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_247,negated_conjecture,
    ( c4_0
    | c3_2(a689,a690)
    | ~ ssSkC1 ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_249,negated_conjecture,
    ( c1_0
    | ~ c2_0
    | ~ c4_0 ),
    inference(cnf_transformation,[],[f59]) ).

tcf(c_251,negated_conjecture,
    ( ssSkC3
    | ~ c1_2(a706,a707) ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_252,negated_conjecture,
    ( ssSkC3
    | ~ c5_2(a706,a707) ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_253,negated_conjecture,
    ( ssSkC1
    | ~ c5_2(a687,a688) ),
    inference(cnf_transformation,[],[f63]) ).

tcf(c_254,negated_conjecture,
    ( c1_0
    | ~ ssSkC6
    | ~ c5_2(a723,a724) ),
    inference(cnf_transformation,[],[f64]) ).

tcf(c_263,negated_conjecture,
    ( c4_0
    | ~ ssSkC1
    | ~ c4_2(a689,a691) ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_264,negated_conjecture,
    ( c4_0
    | ~ ssSkC1
    | ~ c1_2(a689,a690) ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_265,negated_conjecture,
    ( c3_0
    | ~ ssSkC0
    | ~ c3_2(a685,a686) ),
    inference(cnf_transformation,[],[f75]) ).

tcf(c_266,negated_conjecture,
    ( c3_0
    | ~ ssSkC0
    | ~ c5_2(a685,a686) ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_267,negated_conjecture,
    ( c3_0
    | ~ ssSkC0
    | ~ c4_2(a685,a686) ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_268,negated_conjecture,
    ! [X0: $i] :
      ( ssSkC0
      | ndr1_1(X0)
      | ~ ndr1_0
      | ~ ssSkP0(X0) ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_271,negated_conjecture,
    ( c1_0
    | ~ c3_0
    | ~ c2_2(a713,a714) ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_276,negated_conjecture,
    ! [X0: $i] :
      ( ssSkC0
      | c1_2(X0,a684)
      | ~ ndr1_0
      | ~ ssSkP0(X0) ),
    inference(cnf_transformation,[],[f86]) ).

tcf(c_277,negated_conjecture,
    ! [X0: $i] :
      ( c4_0
      | c5_0
      | ndr1_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_278,negated_conjecture,
    ! [X0: $i] :
      ( c3_0
      | c5_1(X0)
      | ndr1_1(X0)
      | ~ c5_0
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f88]) ).

tcf(c_279,negated_conjecture,
    ! [X0: $i] :
      ( c1_0
      | c2_2(a713,X0)
      | ~ c3_0
      | ~ ndr1_1(a713) ),
    inference(cnf_transformation,[],[f89]) ).

tcf(c_280,negated_conjecture,
    ! [X0: $i] :
      ( ssSkC0
      | ~ ndr1_0
      | ~ ssSkP0(X0)
      | ~ c2_2(X0,a684) ),
    inference(cnf_transformation,[],[f90]) ).

tcf(c_281,negated_conjecture,
    ! [X0: $i] :
      ( c4_0
      | c5_0
      | c2_2(X0,a709)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_282,negated_conjecture,
    ! [X0: $i] :
      ( c4_0
      | c5_0
      | c4_2(X0,a709)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_284,negated_conjecture,
    ! [X0: $i] :
      ( c4_0
      | c5_0
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_2(X0,a709) ),
    inference(cnf_transformation,[],[f94]) ).

tcf(c_285,negated_conjecture,
    ! [X0: $i] :
      ( c3_0
      | c5_1(X0)
      | ~ c5_0
      | ~ ndr1_0
      | ~ c1_2(X0,a703) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_286,negated_conjecture,
    ! [X0: $i] :
      ( c3_0
      | c5_1(X0)
      | ~ c5_0
      | ~ ndr1_0
      | ~ c3_2(X0,a703) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_287,negated_conjecture,
    ! [X0: $i] :
      ( c1_0
      | c4_2(a702,X0)
      | ~ ndr1_1(a702)
      | ~ c1_2(a702,X0) ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_288,negated_conjecture,
    ! [X0: $i] :
      ( c1_0
      | c1_2(a702,X0)
      | ~ ndr1_1(a702)
      | ~ c5_2(a702,X0) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_291,negated_conjecture,
    ! [X0: $i] :
      ( c3_0
      | c2_2(a693,X0)
      | ~ ssSkC2
      | ~ ndr1_1(a693)
      | ~ c1_2(a693,X0) ),
    inference(cnf_transformation,[],[f101]) ).

tcf(c_292,negated_conjecture,
    ! [X0: $i] :
      ( c3_0
      | c1_2(a685,X0)
      | ~ ssSkC0
      | ~ ndr1_1(a685)
      | ~ c2_2(a685,X0) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_295,negated_conjecture,
    ! [X0: $i] :
      ( c5_0
      | c4_2(a698,X0)
      | c1_2(a698,X0)
      | c5_2(a698,X0)
      | ~ ndr1_1(a698) ),
    inference(cnf_transformation,[],[f105]) ).

tcf(c_296,negated_conjecture,
    ! [X0: $i] :
      ( c4_0
      | c3_2(a694,X0)
      | c2_2(a694,X0)
      | c4_2(a694,X0)
      | ~ ndr1_1(a694) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_297,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c4_0
      | c1_1(X0)
      | c1_2(X0,X1)
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c2_2(X0,X1) ),
    inference(cnf_transformation,[],[f107]) ).

tcf(c_299,negated_conjecture,
    ! [X0: $i] :
      ( ssSkC2
      | c2_2(a692,X0)
      | c4_2(a692,X0)
      | ~ ndr1_1(a692)
      | ~ c3_2(a692,X0) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_300,negated_conjecture,
    ! [X0: $i] :
      ( ssSkC6
      | c1_2(a722,X0)
      | ~ ndr1_1(a722)
      | ~ c3_2(a722,X0)
      | ~ c2_2(a722,X0) ),
    inference(cnf_transformation,[],[f110]) ).

tcf(c_302,negated_conjecture,
    ! [X0: $i] :
      ( ssSkC3
      | c2_2(a706,X0)
      | ~ ndr1_1(a706)
      | ~ c3_2(a706,X0)
      | ~ c5_2(a706,X0) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_303,negated_conjecture,
    ! [X0: $i] :
      ( c4_0
      | c3_2(a689,X0)
      | ~ ssSkC1
      | ~ ndr1_1(a689)
      | ~ c4_2(a689,X0)
      | ~ c5_2(a689,X0) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_304,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c2_1(a696)
      | c4_1(X0)
      | c1_2(X0,X1)
      | ~ c1_0
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c3_2(X0,X1) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_307,negated_conjecture,
    ! [X0: $i] :
      ( ssSkC1
      | ~ ndr1_1(a687)
      | ~ c2_2(a687,X0)
      | ~ c4_2(a687,X0)
      | ~ c1_2(a687,X0) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_308,negated_conjecture,
    ! [X0: $i] :
      ( c1_0
      | ~ ssSkC6
      | ~ ndr1_1(a723)
      | ~ c2_2(a723,X0)
      | ~ c4_2(a723,X0)
      | ~ c5_2(a723,X0) ),
    inference(cnf_transformation,[],[f118]) ).

tcf(c_309,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_0
      | c4_2(X0,a711)
      | c2_2(X0,X1)
      | c1_2(X0,X1)
      | ~ ssSkC4
      | ~ ndr1_0
      | ~ c4_1(X0)
      | ~ ndr1_1(X0) ),
    inference(cnf_transformation,[],[f119]) ).

tcf(c_310,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ndr1_1(a704)
      | c3_1(X0)
      | ~ c2_0
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c3_2(X0,X1)
      | ~ c2_2(X0,X1) ),
    inference(cnf_transformation,[],[f120]) ).

tcf(c_311,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_0
      | c2_2(X0,X1)
      | c1_2(X0,X1)
      | ~ ssSkC4
      | ~ ndr1_0
      | ~ c4_1(X0)
      | ~ ndr1_1(X0)
      | ~ c2_2(X0,a711) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_312,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_1(X0)
      | c3_2(a704,a705)
      | ~ c2_0
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c3_2(X0,X1)
      | ~ c2_2(X0,X1) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_313,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_1(X0)
      | c4_2(a704,a705)
      | ~ c2_0
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c3_2(X0,X1)
      | ~ c2_2(X0,X1) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_314,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_1(X0)
      | c1_2(a704,a705)
      | ~ c2_0
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c3_2(X0,X1)
      | ~ c2_2(X0,X1) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_315,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_1(X0)
      | ~ c2_0
      | ~ ndr1_0
      | ~ c4_1(a704)
      | ~ ndr1_1(X0)
      | ~ c3_2(X0,X1)
      | ~ c2_2(X0,X1) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_316,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_1(X0)
      | ~ c2_0
      | ~ ndr1_0
      | ~ c5_1(a704)
      | ~ ndr1_1(X0)
      | ~ c3_2(X0,X1)
      | ~ c2_2(X0,X1) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_317,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c4_0
      | c1_0
      | c2_1(X0)
      | c5_2(X0,a681)
      | c2_2(X0,X1)
      | c1_2(X0,X1)
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c4_2(X0,X1) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_318,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c4_0
      | c1_0
      | c2_1(X0)
      | c4_2(X0,a681)
      | c2_2(X0,X1)
      | c1_2(X0,X1)
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c4_2(X0,X1) ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_319,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c4_0
      | c1_0
      | c2_1(X0)
      | c2_2(X0,X1)
      | c1_2(X0,X1)
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c1_2(X0,a681)
      | ~ c4_2(X0,X1) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_328,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_0
      | c3_2(X0,a695)
      | c3_2(X0,X2)
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c2_2(X0,X2)
      | ~ c2_2(X0,X1)
      | ~ c4_2(X0,X2)
      | ~ c1_2(X0,X1) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_329,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_0
      | c2_2(X0,a695)
      | c3_2(X0,X2)
      | ~ ndr1_0
      | ~ ndr1_1(X0)
      | ~ c2_2(X0,X2)
      | ~ c2_2(X0,X1)
      | ~ c4_2(X0,X2)
      | ~ c1_2(X0,X1) ),
    inference(cnf_transformation,[],[f139]) ).

tcf(c_330,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c4_2(X0,X1)
      | ~ c4_0
      | ~ c5_0
      | ~ ndr1_0
      | ~ c4_1(X0)
      | ~ ndr1_1(X0)
      | ~ c5_2(X0,a712)
      | ~ c3_2(X0,X1)
      | ~ c1_2(X0,X1) ),
    inference(cnf_transformation,[],[f140]) ).

tcf(c_331,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c4_0
      | c5_1(X3)
      | c1_2(X0,a682)
      | c3_2(X0,X1)
      | c5_2(X0,X2)
      | ~ ndr1_0
      | ~ c4_1(X3)
      | ~ ndr1_1(X0)
      | ~ c2_2(X0,X2)
      | ~ c2_2(X0,X1)
      | ~ c4_2(X0,X1) ),
    inference(cnf_transformation,[],[f141]) ).

tcf(c_332,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c4_0
      | c5_1(X3)
      | c3_2(X0,X1)
      | c5_2(X0,X2)
      | ~ ndr1_0
      | ~ c4_1(X3)
      | ~ ndr1_1(X0)
      | ~ c4_2(X0,a682)
      | ~ c2_2(X0,X2)
      | ~ c2_2(X0,X1)
      | ~ c4_2(X0,X1) ),
    inference(cnf_transformation,[],[f142]) ).

tcf(c_407,negated_conjecture,
    ~ c4_0,
    inference(global_subsumption_just,[status(thm)],[c_206,c_206,c_205,c_223,c_249]) ).

tcf(c_409,negated_conjecture,
    ~ c1_0,
    inference(global_subsumption_just,[status(thm)],[c_205,c_205,c_223]) ).

tcf(c_415,negated_conjecture,
    ~ c1_1(a694),
    inference(global_subsumption_just,[status(thm)],[c_218,c_206,c_205,c_223,c_218,c_249]) ).

tcf(c_417,negated_conjecture,
    ~ c3_1(a694),
    inference(global_subsumption_just,[status(thm)],[c_217,c_206,c_205,c_223,c_217,c_249]) ).

tcf(c_437,plain,
    ( ~ ssSkC1
    | ndr1_1(a689) ),
    inference(global_subsumption_just,[status(thm)],[c_220,c_206,c_205,c_223,c_249,c_220]) ).

tcf(c_438,negated_conjecture,
    ( ndr1_1(a689)
    | ~ ssSkC1 ),
    inference(renaming,[status(thm)],[c_437]) ).

tcf(c_439,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_215,c_191,c_205,c_223]) ).

tcf(c_441,plain,
    ( ~ ssSkC6
    | ndr1_1(a723) ),
    inference(global_subsumption_just,[status(thm)],[c_214,c_205,c_223,c_214]) ).

tcf(c_442,negated_conjecture,
    ( ndr1_1(a723)
    | ~ ssSkC6 ),
    inference(renaming,[status(thm)],[c_441]) ).

tcf(c_449,plain,
    ( ~ ssSkC1
    | c3_2(a689,a690) ),
    inference(global_subsumption_just,[status(thm)],[c_247,c_206,c_205,c_223,c_249,c_247]) ).

tcf(c_450,negated_conjecture,
    ( c3_2(a689,a690)
    | ~ ssSkC1 ),
    inference(renaming,[status(thm)],[c_449]) ).

tcf(c_451,plain,
    ( ~ ssSkC1
    | c2_2(a689,a690) ),
    inference(global_subsumption_just,[status(thm)],[c_246,c_206,c_205,c_223,c_249,c_246]) ).

tcf(c_452,negated_conjecture,
    ( c2_2(a689,a690)
    | ~ ssSkC1 ),
    inference(renaming,[status(thm)],[c_451]) ).

tcf(c_453,plain,
    ( ~ ssSkC1
    | c1_2(a689,a691) ),
    inference(global_subsumption_just,[status(thm)],[c_245,c_206,c_205,c_223,c_249,c_245]) ).

tcf(c_454,negated_conjecture,
    ( c1_2(a689,a691)
    | ~ ssSkC1 ),
    inference(renaming,[status(thm)],[c_453]) ).

tcf(c_457,plain,
    ( ~ ssSkC6
    | c2_2(a723,a724) ),
    inference(global_subsumption_just,[status(thm)],[c_235,c_205,c_223,c_235]) ).

tcf(c_458,negated_conjecture,
    ( c2_2(a723,a724)
    | ~ ssSkC6 ),
    inference(renaming,[status(thm)],[c_457]) ).

tcf(c_459,plain,
    ( ~ ssSkC6
    | c4_2(a723,a724) ),
    inference(global_subsumption_just,[status(thm)],[c_234,c_205,c_223,c_234]) ).

tcf(c_460,negated_conjecture,
    ( c4_2(a723,a724)
    | ~ ssSkC6 ),
    inference(renaming,[status(thm)],[c_459]) ).

tcf(c_469,plain,
    ( ~ c2_2(a713,a714)
    | ~ c3_0 ),
    inference(global_subsumption_just,[status(thm)],[c_271,c_271,c_409]) ).

tcf(c_470,negated_conjecture,
    ( ~ c3_0
    | ~ c2_2(a713,a714) ),
    inference(renaming,[status(thm)],[c_469]) ).

tcf(c_473,plain,
    ( ~ c1_2(a689,a690)
    | ~ ssSkC1 ),
    inference(global_subsumption_just,[status(thm)],[c_264,c_206,c_205,c_223,c_249,c_264]) ).

tcf(c_474,negated_conjecture,
    ( ~ ssSkC1
    | ~ c1_2(a689,a690) ),
    inference(renaming,[status(thm)],[c_473]) ).

tcf(c_475,plain,
    ( ~ c4_2(a689,a691)
    | ~ ssSkC1 ),
    inference(global_subsumption_just,[status(thm)],[c_263,c_206,c_205,c_223,c_249,c_263]) ).

tcf(c_476,negated_conjecture,
    ( ~ ssSkC1
    | ~ c4_2(a689,a691) ),
    inference(renaming,[status(thm)],[c_475]) ).

tcf(c_477,plain,
    ( ~ c5_2(a723,a724)
    | ~ ssSkC6 ),
    inference(global_subsumption_just,[status(thm)],[c_254,c_205,c_223,c_254]) ).

tcf(c_478,negated_conjecture,
    ( ~ ssSkC6
    | ~ c5_2(a723,a724) ),
    inference(renaming,[status(thm)],[c_477]) ).

tcf(c_479,negated_conjecture,
    ! [X0: $i] :
      ( ssSkC0
      | ndr1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_268,c_191,c_205,c_223,c_213,c_268]) ).

tcf(c_482,plain,
    ! [X0: $i] :
      ( ~ c3_0
      | c2_2(a713,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_279,c_205,c_223,c_237,c_279]) ).

tcf(c_483,negated_conjecture,
    ! [X0: $i] :
      ( c2_2(a713,X0)
      | ~ c3_0 ),
    inference(renaming,[status(thm)],[c_482]) ).

tcf(c_485,negated_conjecture,
    ! [X0: $i] :
      ( c3_0
      | c5_1(X0)
      | ndr1_1(X0)
      | ~ c5_0 ),
    inference(global_subsumption_just,[status(thm)],[c_278,c_191,c_205,c_223,c_278]) ).

tcf(c_488,plain,
    ! [X0: $i] :
      ( ~ c2_1(X0)
      | ndr1_1(X0)
      | c5_0 ),
    inference(global_subsumption_just,[status(thm)],[c_277,c_191,c_205,c_223,c_277,c_407]) ).

tcf(c_489,negated_conjecture,
    ! [X0: $i] :
      ( c5_0
      | ndr1_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_488]) ).

tcf(c_491,negated_conjecture,
    ! [X0: $i] :
      ( ssSkC0
      | c1_2(X0,a684)
      | ~ ssSkP0(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_276,c_191,c_205,c_223,c_276]) ).

tcf(c_494,plain,
    ! [X0: $i] :
      ( ~ c2_1(X0)
      | c4_2(X0,a709)
      | c5_0 ),
    inference(global_subsumption_just,[status(thm)],[c_282,c_191,c_206,c_205,c_223,c_249,c_282]) ).

tcf(c_495,negated_conjecture,
    ! [X0: $i] :
      ( c5_0
      | c4_2(X0,a709)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_494]) ).

tcf(c_497,plain,
    ! [X0: $i] :
      ( ~ c2_1(X0)
      | c2_2(X0,a709)
      | c5_0 ),
    inference(global_subsumption_just,[status(thm)],[c_281,c_191,c_206,c_205,c_223,c_249,c_281]) ).

tcf(c_498,negated_conjecture,
    ! [X0: $i] :
      ( c5_0
      | c2_2(X0,a709)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_497]) ).

tcf(c_500,plain,
    ! [X0: $i] :
      ( ssSkC0
      | ~ c2_2(X0,a684)
      | ~ ssSkP0(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_280,c_191,c_205,c_223,c_280]) ).

tcf(c_501,negated_conjecture,
    ! [X0: $i] :
      ( ssSkC0
      | ~ ssSkP0(X0)
      | ~ c2_2(X0,a684) ),
    inference(renaming,[status(thm)],[c_500]) ).

tcf(c_503,plain,
    ! [X0: $i] :
      ( ~ c5_2(a702,X0)
      | ~ ndr1_1(a702)
      | c1_2(a702,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_288,c_205,c_223,c_288]) ).

tcf(c_504,negated_conjecture,
    ! [X0: $i] :
      ( c1_2(a702,X0)
      | ~ ndr1_1(a702)
      | ~ c5_2(a702,X0) ),
    inference(renaming,[status(thm)],[c_503]) ).

tcf(c_506,plain,
    ! [X0: $i] :
      ( ~ c1_2(a702,X0)
      | ~ ndr1_1(a702)
      | c4_2(a702,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_287,c_205,c_223,c_287]) ).

tcf(c_507,negated_conjecture,
    ! [X0: $i] :
      ( c4_2(a702,X0)
      | ~ ndr1_1(a702)
      | ~ c1_2(a702,X0) ),
    inference(renaming,[status(thm)],[c_506]) ).

tcf(c_509,negated_conjecture,
    ! [X0: $i] :
      ( c3_0
      | c5_1(X0)
      | ~ c5_0
      | ~ c3_2(X0,a703) ),
    inference(global_subsumption_just,[status(thm)],[c_286,c_191,c_205,c_223,c_286]) ).

tcf(c_512,negated_conjecture,
    ! [X0: $i] :
      ( c3_0
      | c5_1(X0)
      | ~ c5_0
      | ~ c1_2(X0,a703) ),
    inference(global_subsumption_just,[status(thm)],[c_285,c_191,c_205,c_223,c_285]) ).

tcf(c_515,plain,
    ! [X0: $i] :
      ( ~ c2_1(X0)
      | ~ c1_2(X0,a709)
      | c5_0 ),
    inference(global_subsumption_just,[status(thm)],[c_284,c_191,c_206,c_205,c_223,c_249,c_284]) ).

tcf(c_516,negated_conjecture,
    ! [X0: $i] :
      ( c5_0
      | ~ c2_1(X0)
      | ~ c1_2(X0,a709) ),
    inference(renaming,[status(thm)],[c_515]) ).

tcf(c_524,plain,
    ! [X0: $i] :
      ( ~ ndr1_1(a694)
      | c4_2(a694,X0)
      | c2_2(a694,X0)
      | c3_2(a694,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_296,c_206,c_205,c_223,c_249,c_296]) ).

tcf(c_525,negated_conjecture,
    ! [X0: $i] :
      ( c3_2(a694,X0)
      | c2_2(a694,X0)
      | c4_2(a694,X0)
      | ~ ndr1_1(a694) ),
    inference(renaming,[status(thm)],[c_524]) ).

tcf(c_527,negated_conjecture,
    ! [X0: $i] :
      ( c5_0
      | c4_2(a698,X0)
      | c1_2(a698,X0)
      | c5_2(a698,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_295,c_200,c_295]) ).

tcf(c_530,negated_conjecture,
    ! [X0: $i] :
      ( c3_0
      | c1_2(a685,X0)
      | ~ ssSkC0
      | ~ c2_2(a685,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_292,c_221,c_292]) ).

tcf(c_542,plain,
    ! [X0: $i] :
      ( ssSkC3
      | c2_2(a706,X0)
      | ~ c5_2(a706,X0)
      | ~ c3_2(a706,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_302,c_211,c_302]) ).

tcf(c_543,negated_conjecture,
    ! [X0: $i] :
      ( ssSkC3
      | c2_2(a706,X0)
      | ~ c3_2(a706,X0)
      | ~ c5_2(a706,X0) ),
    inference(renaming,[status(thm)],[c_542]) ).

tcf(c_548,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ndr1_1(X0)
      | ~ c2_2(X0,X1)
      | c1_2(X0,X1)
      | c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_297,c_191,c_206,c_205,c_223,c_249,c_297]) ).

tcf(c_549,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c1_1(X0)
      | c1_2(X0,X1)
      | ~ ndr1_1(X0)
      | ~ c2_2(X0,X1) ),
    inference(renaming,[status(thm)],[c_548]) ).

tcf(c_551,plain,
    ! [X0: $i] :
      ( ssSkC1
      | ~ c1_2(a687,X0)
      | ~ c4_2(a687,X0)
      | ~ c2_2(a687,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_307,c_212,c_307]) ).

tcf(c_552,negated_conjecture,
    ! [X0: $i] :
      ( ssSkC1
      | ~ c2_2(a687,X0)
      | ~ c4_2(a687,X0)
      | ~ c1_2(a687,X0) ),
    inference(renaming,[status(thm)],[c_551]) ).

tcf(c_554,plain,
    ! [X0: $i] :
      ( ~ c4_2(a689,X0)
      | ~ c5_2(a689,X0)
      | ~ ssSkC1
      | c3_2(a689,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_303,c_206,c_205,c_223,c_249,c_220,c_303]) ).

tcf(c_555,negated_conjecture,
    ! [X0: $i] :
      ( c3_2(a689,X0)
      | ~ ssSkC1
      | ~ c4_2(a689,X0)
      | ~ c5_2(a689,X0) ),
    inference(renaming,[status(thm)],[c_554]) ).

tcf(c_557,plain,
    ! [X0: $i] :
      ( ~ c2_2(a723,X0)
      | ~ c4_2(a723,X0)
      | ~ c5_2(a723,X0)
      | ~ ssSkC6 ),
    inference(global_subsumption_just,[status(thm)],[c_308,c_205,c_223,c_214,c_308]) ).

tcf(c_558,negated_conjecture,
    ! [X0: $i] :
      ( ~ ssSkC6
      | ~ c2_2(a723,X0)
      | ~ c4_2(a723,X0)
      | ~ c5_2(a723,X0) ),
    inference(renaming,[status(thm)],[c_557]) ).

tcf(c_562,negated_conjecture,
    ~ c1_0,
    inference(global_subsumption_just,[status(thm)],[c_304,c_205,c_223]) ).

tcf(c_564,plain,
    ! [X0: $i,X1: $i] :
      ( ndr1_1(a704)
      | c3_1(X0)
      | ~ c2_0
      | ~ c2_2(X0,X1)
      | ~ c3_2(X0,X1)
      | ~ ndr1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_310,c_191,c_205,c_223,c_310]) ).

tcf(c_565,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( ndr1_1(a704)
      | c3_1(X0)
      | ~ c2_0
      | ~ ndr1_1(X0)
      | ~ c3_2(X0,X1)
      | ~ c2_2(X0,X1) ),
    inference(renaming,[status(thm)],[c_564]) ).

tcf(c_567,plain,
    ! [X0: $i,X1: $i] :
      ( c3_1(X0)
      | ~ c2_0
      | ~ c2_2(X0,X1)
      | ~ c3_2(X0,X1)
      | ~ ndr1_1(X0)
      | ~ c5_1(a704) ),
    inference(global_subsumption_just,[status(thm)],[c_316,c_191,c_205,c_223,c_316]) ).

tcf(c_568,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_1(X0)
      | ~ c2_0
      | ~ c5_1(a704)
      | ~ ndr1_1(X0)
      | ~ c3_2(X0,X1)
      | ~ c2_2(X0,X1) ),
    inference(renaming,[status(thm)],[c_567]) ).

tcf(c_570,plain,
    ! [X0: $i,X1: $i] :
      ( c3_1(X0)
      | ~ c2_0
      | ~ c2_2(X0,X1)
      | ~ c3_2(X0,X1)
      | ~ ndr1_1(X0)
      | ~ c4_1(a704) ),
    inference(global_subsumption_just,[status(thm)],[c_315,c_191,c_205,c_223,c_315]) ).

tcf(c_571,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_1(X0)
      | ~ c2_0
      | ~ c4_1(a704)
      | ~ ndr1_1(X0)
      | ~ c3_2(X0,X1)
      | ~ c2_2(X0,X1) ),
    inference(renaming,[status(thm)],[c_570]) ).

tcf(c_573,plain,
    ! [X0: $i,X1: $i] :
      ( c3_1(X0)
      | c1_2(a704,a705)
      | ~ c2_0
      | ~ c2_2(X0,X1)
      | ~ c3_2(X0,X1)
      | ~ ndr1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_314,c_191,c_205,c_223,c_314]) ).

tcf(c_574,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_1(X0)
      | c1_2(a704,a705)
      | ~ c2_0
      | ~ ndr1_1(X0)
      | ~ c3_2(X0,X1)
      | ~ c2_2(X0,X1) ),
    inference(renaming,[status(thm)],[c_573]) ).

tcf(c_576,plain,
    ! [X0: $i,X1: $i] :
      ( c3_1(X0)
      | c4_2(a704,a705)
      | ~ c2_0
      | ~ c2_2(X0,X1)
      | ~ c3_2(X0,X1)
      | ~ ndr1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_313,c_191,c_205,c_223,c_313]) ).

tcf(c_577,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_1(X0)
      | c4_2(a704,a705)
      | ~ c2_0
      | ~ ndr1_1(X0)
      | ~ c3_2(X0,X1)
      | ~ c2_2(X0,X1) ),
    inference(renaming,[status(thm)],[c_576]) ).

tcf(c_579,plain,
    ! [X0: $i,X1: $i] :
      ( c3_1(X0)
      | c3_2(a704,a705)
      | ~ c2_0
      | ~ c2_2(X0,X1)
      | ~ c3_2(X0,X1)
      | ~ ndr1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_312,c_191,c_205,c_223,c_312]) ).

tcf(c_580,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_1(X0)
      | c3_2(a704,a705)
      | ~ c2_0
      | ~ ndr1_1(X0)
      | ~ c3_2(X0,X1)
      | ~ c2_2(X0,X1) ),
    inference(renaming,[status(thm)],[c_579]) ).

tcf(c_582,plain,
    ! [X0: $i,X1: $i] :
      ( c3_0
      | c4_2(X0,a711)
      | c2_2(X0,X1)
      | c1_2(X0,X1)
      | ~ ssSkC4
      | ~ ndr1_1(X0)
      | ~ c4_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_309,c_191,c_205,c_223,c_309]) ).

tcf(c_583,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_0
      | c4_2(X0,a711)
      | c2_2(X0,X1)
      | c1_2(X0,X1)
      | ~ ssSkC4
      | ~ c4_1(X0)
      | ~ ndr1_1(X0) ),
    inference(renaming,[status(thm)],[c_582]) ).

tcf(c_585,plain,
    ! [X0: $i,X1: $i] :
      ( c3_0
      | c2_2(X0,X1)
      | c1_2(X0,X1)
      | ~ ssSkC4
      | ~ c2_2(X0,a711)
      | ~ ndr1_1(X0)
      | ~ c4_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_311,c_191,c_205,c_223,c_311]) ).

tcf(c_586,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c3_0
      | c2_2(X0,X1)
      | c1_2(X0,X1)
      | ~ ssSkC4
      | ~ c4_1(X0)
      | ~ ndr1_1(X0)
      | ~ c2_2(X0,a711) ),
    inference(renaming,[status(thm)],[c_585]) ).

tcf(c_588,plain,
    ! [X0: $i,X1: $i] :
      ( c2_1(X0)
      | c4_2(X0,a681)
      | c2_2(X0,X1)
      | c1_2(X0,X1)
      | ~ c4_2(X0,X1)
      | ~ ndr1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_318,c_191,c_206,c_205,c_223,c_249,c_318]) ).

tcf(c_589,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c2_1(X0)
      | c4_2(X0,a681)
      | c2_2(X0,X1)
      | c1_2(X0,X1)
      | ~ ndr1_1(X0)
      | ~ c4_2(X0,X1) ),
    inference(renaming,[status(thm)],[c_588]) ).

tcf(c_591,plain,
    ! [X0: $i,X1: $i] :
      ( c2_1(X0)
      | c5_2(X0,a681)
      | c2_2(X0,X1)
      | c1_2(X0,X1)
      | ~ c4_2(X0,X1)
      | ~ ndr1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_317,c_191,c_206,c_205,c_223,c_249,c_317]) ).

tcf(c_592,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c2_1(X0)
      | c5_2(X0,a681)
      | c2_2(X0,X1)
      | c1_2(X0,X1)
      | ~ ndr1_1(X0)
      | ~ c4_2(X0,X1) ),
    inference(renaming,[status(thm)],[c_591]) ).

tcf(c_597,plain,
    ! [X0: $i,X1: $i] :
      ( c2_1(X0)
      | c2_2(X0,X1)
      | c1_2(X0,X1)
      | ~ c4_2(X0,X1)
      | ~ c1_2(X0,a681)
      | ~ ndr1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_319,c_191,c_206,c_205,c_223,c_249,c_319]) ).

tcf(c_598,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( c2_1(X0)
      | c2_2(X0,X1)
      | c1_2(X0,X1)
      | ~ ndr1_1(X0)
      | ~ c1_2(X0,a681)
      | ~ c4_2(X0,X1) ),
    inference(renaming,[status(thm)],[c_597]) ).

tcf(c_608,negated_conjecture,
    ~ c4_0,
    inference(global_subsumption_just,[status(thm)],[c_330,c_206,c_205,c_223,c_249]) ).

tcf(c_616,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_0
      | c2_2(X0,a695)
      | c3_2(X0,X2)
      | ~ c1_2(X0,X1)
      | ~ c4_2(X0,X2)
      | ~ c2_2(X0,X1)
      | ~ c2_2(X0,X2)
      | ~ ndr1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_329,c_191,c_205,c_223,c_329]) ).

tcf(c_617,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_0
      | c2_2(X0,a695)
      | c3_2(X0,X2)
      | ~ ndr1_1(X0)
      | ~ c2_2(X0,X2)
      | ~ c2_2(X0,X1)
      | ~ c4_2(X0,X2)
      | ~ c1_2(X0,X1) ),
    inference(renaming,[status(thm)],[c_616]) ).

tcf(c_619,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_0
      | c3_2(X0,a695)
      | c3_2(X0,X2)
      | ~ c1_2(X0,X1)
      | ~ c4_2(X0,X2)
      | ~ c2_2(X0,X1)
      | ~ c2_2(X0,X2)
      | ~ ndr1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_328,c_191,c_205,c_223,c_328]) ).

tcf(c_620,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_0
      | c3_2(X0,a695)
      | c3_2(X0,X2)
      | ~ ndr1_1(X0)
      | ~ c2_2(X0,X2)
      | ~ c2_2(X0,X1)
      | ~ c4_2(X0,X2)
      | ~ c1_2(X0,X1) ),
    inference(renaming,[status(thm)],[c_619]) ).

tcf(c_622,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ c4_1(X3)
      | ~ ndr1_1(X0)
      | ~ c2_2(X0,X2)
      | ~ c2_2(X0,X1)
      | ~ c4_2(X0,X1)
      | c5_2(X0,X2)
      | c3_2(X0,X1)
      | c1_2(X0,a682)
      | c5_1(X3) ),
    inference(global_subsumption_just,[status(thm)],[c_331,c_191,c_206,c_205,c_223,c_249,c_331]) ).

tcf(c_623,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c5_1(X3)
      | c1_2(X0,a682)
      | c3_2(X0,X1)
      | c5_2(X0,X2)
      | ~ c4_1(X3)
      | ~ ndr1_1(X0)
      | ~ c2_2(X0,X2)
      | ~ c2_2(X0,X1)
      | ~ c4_2(X0,X1) ),
    inference(renaming,[status(thm)],[c_622]) ).

tcf(c_625,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ c4_1(X3)
      | ~ ndr1_1(X0)
      | ~ c4_2(X0,a682)
      | ~ c2_2(X0,X2)
      | ~ c2_2(X0,X1)
      | ~ c4_2(X0,X1)
      | c5_2(X0,X2)
      | c3_2(X0,X1)
      | c5_1(X3) ),
    inference(global_subsumption_just,[status(thm)],[c_332,c_191,c_206,c_205,c_223,c_249,c_332]) ).

tcf(c_626,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( c5_1(X3)
      | c3_2(X0,X1)
      | c5_2(X0,X2)
      | ~ c4_1(X3)
      | ~ ndr1_1(X0)
      | ~ c4_2(X0,a682)
      | ~ c2_2(X0,X2)
      | ~ c2_2(X0,X1)
      | ~ c4_2(X0,X1) ),
    inference(renaming,[status(thm)],[c_625]) ).

tcf(c_674,plain,
    ( c3_0
    | ndr1_1(a685) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_221,c_479]) ).

tcf(c_787,plain,
    ~ c3_0,
    inference(backward_subsumption_resolution,[status(thm)],[c_470,c_483]) ).

tcf(c_790,plain,
    ( c2_0
    | ~ c5_0 ),
    inference(backward_subsumption_resolution,[status(thm)],[c_222,c_787]) ).

tcf(c_791,plain,
    ( ~ ssSkC0
    | ~ c3_2(a685,a686) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_265,c_787]) ).

tcf(c_792,plain,
    ( ~ ssSkC0
    | ~ c4_2(a685,a686) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_267,c_787]) ).

tcf(c_793,plain,
    ( ~ ssSkC0
    | ~ c5_2(a685,a686) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_266,c_787]) ).

tcf(c_794,plain,
    ! [X0: $i] :
      ( c1_2(a685,X0)
      | ~ ssSkC0
      | ~ c2_2(a685,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_530,c_787]) ).

tcf(c_795,plain,
    ! [X0: $i] :
      ( c5_1(X0)
      | ndr1_1(X0)
      | ~ c5_0 ),
    inference(backward_subsumption_resolution,[status(thm)],[c_485,c_787]) ).

tcf(c_796,plain,
    ( c2_1(a693)
    | ~ ssSkC2 ),
    inference(backward_subsumption_resolution,[status(thm)],[c_219,c_787]) ).

tcf(c_797,plain,
    ! [X0: $i] :
      ( c5_1(X0)
      | ~ c5_0
      | ~ c1_2(X0,a703) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_512,c_787]) ).

tcf(c_798,plain,
    ( ~ ssSkC2
    | ~ c5_1(a693) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_243,c_787]) ).

tcf(c_799,plain,
    ! [X0: $i] :
      ( c5_1(X0)
      | ~ c5_0
      | ~ c3_2(X0,a703) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_509,c_787]) ).

tcf(c_801,plain,
    ! [X0: $i] :
      ( c2_2(a693,X0)
      | ~ ssSkC2
      | ~ ndr1_1(a693)
      | ~ c1_2(a693,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_291,c_787]) ).

tcf(c_802,plain,
    ! [X0: $i,X1: $i] :
      ( c4_2(X0,a711)
      | c2_2(X0,X1)
      | c1_2(X0,X1)
      | ~ ssSkC4
      | ~ c4_1(X0)
      | ~ ndr1_1(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_583,c_787]) ).

tcf(c_803,plain,
    ! [X0: $i,X1: $i] :
      ( c2_2(X0,X1)
      | c1_2(X0,X1)
      | ~ ssSkC4
      | ~ c4_1(X0)
      | ~ ndr1_1(X0)
      | ~ c2_2(X0,a711) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_586,c_787]) ).

tcf(c_804,plain,
    ndr1_1(a685),
    inference(backward_subsumption_resolution,[status(thm)],[c_674,c_787]) ).

tcf(c_1240,plain,
    ! [X0: $i] :
      ( ssSkC0
      | c1_2(X0,a683)
      | ~ c2_2(X0,a684) ),
    inference(resolution,[status(thm)],[c_233,c_501]) ).

tcf(c_1251,plain,
    ! [X0: $i] :
      ( ssSkC0
      | c1_2(X0,a684)
      | c1_2(X0,a683) ),
    inference(resolution,[status(thm)],[c_233,c_491]) ).

tcf(c_1262,plain,
    ! [X0: $i] :
      ( ssSkC0
      | c4_2(X0,a683)
      | ~ c2_2(X0,a684) ),
    inference(resolution,[status(thm)],[c_232,c_501]) ).

tcf(c_1273,plain,
    ! [X0: $i] :
      ( ssSkC0
      | c4_2(X0,a683)
      | c1_2(X0,a684) ),
    inference(resolution,[status(thm)],[c_232,c_491]) ).

tcf(c_1408,plain,
    ! [X0: $i] :
      ( c3_2(a704,a705)
      | ~ c2_0
      | ~ ndr1_1(a694)
      | ~ c3_2(a694,X0)
      | ~ c2_2(a694,X0) ),
    inference(resolution,[status(thm)],[c_417,c_580]) ).

tcf(c_1425,plain,
    ! [X0: $i] :
      ( c4_2(a704,a705)
      | ~ c2_0
      | ~ ndr1_1(a694)
      | ~ c3_2(a694,X0)
      | ~ c2_2(a694,X0) ),
    inference(resolution,[status(thm)],[c_417,c_577]) ).

tcf(c_1442,plain,
    ! [X0: $i] :
      ( c1_2(a704,a705)
      | ~ c2_0
      | ~ ndr1_1(a694)
      | ~ c3_2(a694,X0)
      | ~ c2_2(a694,X0) ),
    inference(resolution,[status(thm)],[c_417,c_574]) ).

tcf(c_1459,plain,
    ! [X0: $i] :
      ( ~ c2_0
      | ~ c5_1(a704)
      | ~ ndr1_1(a694)
      | ~ c3_2(a694,X0)
      | ~ c2_2(a694,X0) ),
    inference(resolution,[status(thm)],[c_417,c_568]) ).

tcf(c_1476,plain,
    ! [X0: $i] :
      ( ndr1_1(a704)
      | ~ c2_0
      | ~ ndr1_1(a694)
      | ~ c3_2(a694,X0)
      | ~ c2_2(a694,X0) ),
    inference(resolution,[status(thm)],[c_417,c_565]) ).

tcf(c_1528,plain,
    ! [X0: $i] :
      ( c1_2(a694,X0)
      | ~ ndr1_1(a694)
      | ~ c2_2(a694,X0) ),
    inference(resolution,[status(thm)],[c_415,c_549]) ).

tcf(c_1552,plain,
    ! [X0: $i] :
      ( ssSkC2
      | c1_2(a692,X0)
      | ~ ndr1_1(a692)
      | ~ c2_2(a692,X0) ),
    inference(resolution,[status(thm)],[c_227,c_549]) ).

tcf(c_1579,plain,
    ! [X0: $i] :
      ( ssSkC1
      | c1_2(a687,X0)
      | ~ ndr1_1(a687)
      | ~ c2_2(a687,X0) ),
    inference(resolution,[status(thm)],[c_231,c_549]) ).

tcf(c_1581,plain,
    ! [X0: $i] :
      ( ssSkC1
      | c1_2(a687,X0)
      | ~ c2_2(a687,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_1579,c_212,c_1579]) ).

tcf(c_1630,plain,
    ! [X0: $i] :
      ( ssSkC1
      | ~ c2_2(a687,X0)
      | ~ c4_2(a687,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_552,c_1581]) ).

tcf(c_2031,plain,
    ! [X0: $i] :
      ( c2_1(a702)
      | c1_2(a702,a681)
      | c2_2(a702,X0)
      | c1_2(a702,X0)
      | ~ ndr1_1(a702)
      | ~ c4_2(a702,X0) ),
    inference(resolution,[status(thm)],[c_504,c_592]) ).

tcf(c_2045,plain,
    ! [X0: $i] :
      ( c2_1(a702)
      | c2_2(a702,X0)
      | c1_2(a702,X0)
      | ~ ndr1_1(a702)
      | ~ c4_2(a702,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_2031,c_598]) ).

tcf(c_2052,plain,
    ! [X0: $i] :
      ( c2_1(a689)
      | c3_2(a689,a681)
      | c2_2(a689,X0)
      | c1_2(a689,X0)
      | ~ ssSkC1
      | ~ ndr1_1(a689)
      | ~ c4_2(a689,a681)
      | ~ c4_2(a689,X0) ),
    inference(resolution,[status(thm)],[c_555,c_592]) ).

tcf(c_2054,plain,
    ! [X0: $i] :
      ( c2_1(a689)
      | c3_2(a689,a681)
      | c2_2(a689,X0)
      | c1_2(a689,X0)
      | ~ ssSkC1
      | ~ c4_2(a689,X0)
      | ~ c4_2(a689,a681) ),
    inference(global_subsumption_just,[status(thm)],[c_2052,c_206,c_205,c_223,c_249,c_220,c_2052]) ).

tcf(c_2055,plain,
    ! [X0: $i] :
      ( c2_1(a689)
      | c3_2(a689,a681)
      | c2_2(a689,X0)
      | c1_2(a689,X0)
      | ~ ssSkC1
      | ~ c4_2(a689,a681)
      | ~ c4_2(a689,X0) ),
    inference(renaming,[status(thm)],[c_2054]) ).

tcf(c_2080,plain,
    ! [X0: $i] :
      ( c2_1(a723)
      | c2_2(a723,X0)
      | c1_2(a723,X0)
      | ~ ssSkC6
      | ~ ndr1_1(a723)
      | ~ c2_2(a723,a681)
      | ~ c4_2(a723,a681)
      | ~ c4_2(a723,X0) ),
    inference(resolution,[status(thm)],[c_558,c_592]) ).

tcf(c_2082,plain,
    ! [X0: $i] :
      ( c2_1(a723)
      | c2_2(a723,X0)
      | c1_2(a723,X0)
      | ~ ssSkC6
      | ~ c4_2(a723,X0)
      | ~ c4_2(a723,a681)
      | ~ c2_2(a723,a681) ),
    inference(global_subsumption_just,[status(thm)],[c_2080,c_205,c_223,c_214,c_2080]) ).

tcf(c_2083,plain,
    ! [X0: $i] :
      ( c2_1(a723)
      | c2_2(a723,X0)
      | c1_2(a723,X0)
      | ~ ssSkC6
      | ~ c2_2(a723,a681)
      | ~ c4_2(a723,a681)
      | ~ c4_2(a723,X0) ),
    inference(renaming,[status(thm)],[c_2082]) ).

tcf(c_2864,plain,
    ( ~ ssSkC2
    | ~ c5_0
    | ~ c3_2(a693,a703) ),
    inference(resolution,[status(thm)],[c_798,c_799]) ).

tcf(c_2874,plain,
    ( ~ ssSkC2
    | ~ c5_0
    | ~ c1_2(a693,a703) ),
    inference(resolution,[status(thm)],[c_798,c_797]) ).

tcf(c_2884,plain,
    ( ndr1_1(a693)
    | ~ ssSkC2
    | ~ c5_0 ),
    inference(resolution,[status(thm)],[c_798,c_795]) ).

tcf(c_2894,plain,
    ! [X0: $i] :
      ( ~ c2_0
      | ~ c5_0
      | ~ ndr1_1(a694)
      | ~ c3_2(a704,a703)
      | ~ c3_2(a694,X0)
      | ~ c2_2(a694,X0) ),
    inference(resolution,[status(thm)],[c_799,c_1459]) ).

tcf(c_2896,plain,
    ! [X0: $i] :
      ( ~ c2_2(a694,X0)
      | ~ c3_2(a694,X0)
      | ~ c3_2(a704,a703)
      | ~ ndr1_1(a694)
      | ~ c5_0 ),
    inference(global_subsumption_just,[status(thm)],[c_2894,c_222,c_787,c_2894]) ).

tcf(c_2897,plain,
    ! [X0: $i] :
      ( ~ c5_0
      | ~ ndr1_1(a694)
      | ~ c3_2(a704,a703)
      | ~ c3_2(a694,X0)
      | ~ c2_2(a694,X0) ),
    inference(renaming,[status(thm)],[c_2896]) ).

tcf(c_2914,plain,
    ! [X0: $i] :
      ( ~ c2_0
      | ~ c5_0
      | ~ ndr1_1(a694)
      | ~ c1_2(a704,a703)
      | ~ c3_2(a694,X0)
      | ~ c2_2(a694,X0) ),
    inference(resolution,[status(thm)],[c_797,c_1459]) ).

tcf(c_2916,plain,
    ! [X0: $i] :
      ( ~ c2_2(a694,X0)
      | ~ c3_2(a694,X0)
      | ~ c1_2(a704,a703)
      | ~ ndr1_1(a694)
      | ~ c5_0 ),
    inference(global_subsumption_just,[status(thm)],[c_2914,c_222,c_787,c_2914]) ).

tcf(c_2917,plain,
    ! [X0: $i] :
      ( ~ c5_0
      | ~ ndr1_1(a694)
      | ~ c1_2(a704,a703)
      | ~ c3_2(a694,X0)
      | ~ c2_2(a694,X0) ),
    inference(renaming,[status(thm)],[c_2916]) ).

tcf(c_5054,plain,
    ( c5_0
    | ndr1_1(a693)
    | ~ ssSkC2 ),
    inference(resolution,[status(thm)],[c_796,c_489]) ).

tcf(c_5055,plain,
    ( ~ ssSkC2
    | ndr1_1(a693) ),
    inference(global_subsumption_just,[status(thm)],[c_5054,c_2884,c_5054]) ).

tcf(c_5056,plain,
    ( ndr1_1(a693)
    | ~ ssSkC2 ),
    inference(renaming,[status(thm)],[c_5055]) ).

tcf(c_5339,plain,
    ! [X0: $i] :
      ( c2_2(a693,X0)
      | ~ ssSkC2
      | ~ c1_2(a693,X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_801,c_5056]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN540-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36  % Computer : n001.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Fri Sep 25 01:48:24 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.41  Running EPR theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 2.19/1.13  % SZS status Started for theBenchmark.p
% 2.19/1.13  % SZS status Satisfiable for theBenchmark.p
% 2.19/1.13  
% 2.19/1.13  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.19/1.13  
% 2.19/1.13  % ------  iProver source info
% 2.19/1.13  
% 2.19/1.13  % git: date: 2026-07-19 20:42:38 +0200
% 2.19/1.13  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.19/1.13  % git: non_committed_changes: false
% 2.19/1.13  
% 2.19/1.13  % ------ Parsing...% successful
% 2.19/1.13  
% 2.19/1.13  
% 2.19/1.13  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 2.19/1.13  % 
% 2.19/1.13  
% 2.19/1.13  % ------ Preprocessing... sf_s  rm: 26 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sf_s  rm: 53 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 2.19/1.13  
% 2.19/1.13  % ------ Preprocessing...% ------  preprocesses with Option_epr_horn
% 2.19/1.13   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.19/1.13  % ------ Proving...
% 2.19/1.13  % ------ Problem Properties 
% 2.19/1.13  
% 2.19/1.13  % 
% 2.19/1.13  % clauses                               0
% 2.19/1.13  % conjectures                           0
% 2.19/1.13  % EPR                                   0
% 2.19/1.13  % Horn                                  0
% 2.19/1.13  % unary                                 0
% 2.19/1.13  % binary                                0
% 2.19/1.13  % lits                                  0
% 2.19/1.13  % lits eq                               0
% 2.19/1.13  % fd_pure                               0
% 2.19/1.13  % fd_pseudo                             0
% 2.19/1.13  % fd_cond                               0
% 2.19/1.13  % fd_pseudo_cond                        0
% 2.19/1.13  % AC symbols                            0
% 2.19/1.13  
% 2.19/1.13  % ------ Schedule EPR Horn non eq is on
% 2.19/1.13  
% 2.19/1.13  % ------ no conjectures: strip conj schedule 
% 2.19/1.13  
% 2.19/1.13  % ------ no equalities: superposition off 
% 2.19/1.13  
% 2.19/1.13  % ------ Option_epr_horn stripped conjectures Time Limit: Unbounded
% 2.19/1.13  
% 2.19/1.13  
% 2.19/1.13  % 
% 2.19/1.13  
% 2.19/1.13  % SZS status Satisfiable for theBenchmark.p
% 2.19/1.13  
% 2.19/1.13  % SZS output start Saturation for theBenchmark.p
% See solution above
% 2.19/1.14  
% 2.19/1.14  
%------------------------------------------------------------------------------