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Prover9---2026-6A.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : SYN036-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 09:36:27 AM UTC 2026

% Result   : Unsatisfiable 3.77s 0.98s
% Output   : CNFRefutation 3.77s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(clause_4,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3] :
      ( ~ big_q(c7)
      | big_p(c6)
      | ~ big_q(VAR_3)
      | ~ big_q(f2(VAR_3))
      | big_p(VAR_2)
      | ~ big_q(VAR_1)
      | big_p(f1(VAR_0))
      | big_p(VAR_0) ),
    file('theBenchmark.p',clause_4) ).

cnf(c_4,plain,
    ( ~ big_q(c7)
    | big_p(c6)
    | ~ big_q(D)
    | ~ big_q(f2(D))
    | big_p(C)
    | ~ big_q(B)
    | big_p(f1(A))
    | big_p(A) ),
    inference(clausify,[status(thm)],[clause_4]) ).

fof(clause_5,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
      ( big_q(VAR_4)
      | big_p(c9)
      | big_q(c8)
      | ~ big_q(VAR_3)
      | big_p(VAR_2)
      | ~ big_q(VAR_1)
      | big_p(f1(VAR_0))
      | big_p(VAR_0) ),
    file('theBenchmark.p',clause_5) ).

cnf(c_5,plain,
    ( big_q(E)
    | big_p(c9)
    | big_q(c8)
    | ~ big_q(D)
    | big_p(C)
    | ~ big_q(B)
    | big_p(f1(A))
    | big_p(A) ),
    inference(clausify,[status(thm)],[clause_5]) ).

fof(clause_7,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
      ( big_q(VAR_4)
      | big_p(c9)
      | ~ big_q(c8)
      | big_q(VAR_3)
      | big_p(VAR_2)
      | ~ big_q(VAR_1)
      | big_p(f1(VAR_0))
      | big_p(VAR_0) ),
    file('theBenchmark.p',clause_7) ).

cnf(c_7,plain,
    ( big_q(E)
    | big_p(c9)
    | ~ big_q(c8)
    | big_q(D)
    | big_p(C)
    | ~ big_q(B)
    | big_p(f1(A))
    | big_p(A) ),
    inference(clausify,[status(thm)],[clause_7]) ).

fof(clause_25,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3] :
      ( big_q(VAR_3)
      | ~ big_p(VAR_2)
      | big_q(VAR_1)
      | big_q(f2(VAR_1))
      | ~ big_p(c2)
      | big_q(c1)
      | ~ big_p(f1(VAR_0))
      | ~ big_p(VAR_0) ),
    file('theBenchmark.p',clause_25) ).

cnf(c_23,plain,
    ( big_q(D)
    | ~ big_p(C)
    | big_q(B)
    | big_q(f2(B))
    | ~ big_p(c2)
    | big_q(c1)
    | ~ big_p(f1(A))
    | ~ big_p(A) ),
    inference(clausify,[status(thm)],[clause_25]) ).

fof(clause_33,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
      ( big_q(VAR_4)
      | ~ big_p(VAR_3)
      | big_q(VAR_2)
      | big_q(f2(VAR_2))
      | big_p(VAR_1)
      | big_q(c4)
      | big_p(VAR_0)
      | ~ big_p(c3) ),
    file('theBenchmark.p',clause_33) ).

cnf(c_29,plain,
    ( big_q(E)
    | ~ big_p(D)
    | big_q(C)
    | big_q(f2(C))
    | big_p(B)
    | big_q(c4)
    | big_p(A)
    | ~ big_p(c3) ),
    inference(clausify,[status(thm)],[clause_33]) ).

fof(clause_49,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
      ( big_q(VAR_4)
      | ~ big_p(VAR_3)
      | big_q(VAR_2)
      | big_q(f2(VAR_2))
      | big_p(VAR_1)
      | big_q(c4)
      | ~ big_p(VAR_0)
      | big_p(c3) ),
    file('theBenchmark.p',clause_49) ).

cnf(c_45,plain,
    ( big_q(E)
    | ~ big_p(D)
    | big_q(C)
    | big_q(f2(C))
    | big_p(B)
    | big_q(c4)
    | ~ big_p(A)
    | big_p(c3) ),
    inference(clausify,[status(thm)],[clause_49]) ).

fof(clause_65,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
      ( big_q(VAR_5)
      | ~ big_p(VAR_4)
      | big_q(c16)
      | ~ big_q(VAR_3)
      | big_p(VAR_2)
      | ~ big_q(VAR_1)
      | big_p(VAR_0)
      | ~ big_p(c11) ),
    file('theBenchmark.p',clause_65) ).

cnf(c_61,plain,
    ( big_q(F)
    | ~ big_p(E)
    | big_q(c16)
    | ~ big_q(D)
    | big_p(C)
    | ~ big_q(B)
    | big_p(A)
    | ~ big_p(c11) ),
    inference(clausify,[status(thm)],[clause_65]) ).

fof(clause_67,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
      ( big_q(VAR_5)
      | ~ big_p(VAR_4)
      | ~ big_q(c16)
      | big_q(VAR_3)
      | big_p(VAR_2)
      | ~ big_q(VAR_1)
      | big_p(VAR_0)
      | ~ big_p(c11) ),
    file('theBenchmark.p',clause_67) ).

cnf(c_63,plain,
    ( big_q(F)
    | ~ big_p(E)
    | ~ big_q(c16)
    | big_q(D)
    | big_p(C)
    | ~ big_q(B)
    | big_p(A)
    | ~ big_p(c11) ),
    inference(clausify,[status(thm)],[clause_67]) ).

fof(clause_72,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
      ( ~ big_q(c20)
      | ~ big_p(VAR_4)
      | ~ big_q(VAR_3)
      | ~ big_q(f4(VAR_3))
      | big_p(VAR_2)
      | ~ big_q(VAR_1)
      | big_p(VAR_0)
      | ~ big_p(c11) ),
    file('theBenchmark.p',clause_72) ).

cnf(c_68,plain,
    ( ~ big_q(c20)
    | ~ big_p(E)
    | ~ big_q(D)
    | ~ big_q(f4(D))
    | big_p(C)
    | ~ big_q(B)
    | big_p(A)
    | ~ big_p(c11) ),
    inference(clausify,[status(thm)],[clause_72]) ).

fof(clause_81,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
      ( big_q(VAR_5)
      | ~ big_p(VAR_4)
      | big_q(c16)
      | ~ big_q(VAR_3)
      | big_p(VAR_2)
      | ~ big_q(VAR_1)
      | ~ big_p(VAR_0)
      | big_p(c11) ),
    file('theBenchmark.p',clause_81) ).

cnf(c_75,plain,
    ( big_q(F)
    | ~ big_p(E)
    | big_q(c16)
    | ~ big_q(D)
    | big_p(C)
    | ~ big_q(B)
    | ~ big_p(A)
    | big_p(c11) ),
    inference(clausify,[status(thm)],[clause_81]) ).

fof(clause_83,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
      ( big_q(VAR_5)
      | ~ big_p(VAR_4)
      | ~ big_q(c16)
      | big_q(VAR_3)
      | big_p(VAR_2)
      | ~ big_q(VAR_1)
      | ~ big_p(VAR_0)
      | big_p(c11) ),
    file('theBenchmark.p',clause_83) ).

cnf(c_77,plain,
    ( big_q(F)
    | ~ big_p(E)
    | ~ big_q(c16)
    | big_q(D)
    | big_p(C)
    | ~ big_q(B)
    | ~ big_p(A)
    | big_p(c11) ),
    inference(clausify,[status(thm)],[clause_83]) ).

fof(clause_88,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
      ( ~ big_q(c20)
      | ~ big_p(VAR_4)
      | ~ big_q(VAR_3)
      | ~ big_q(f4(VAR_3))
      | big_p(VAR_2)
      | ~ big_q(VAR_1)
      | ~ big_p(VAR_0)
      | big_p(c11) ),
    file('theBenchmark.p',clause_88) ).

cnf(c_82,plain,
    ( ~ big_q(c20)
    | ~ big_p(E)
    | ~ big_q(D)
    | ~ big_q(f4(D))
    | big_p(C)
    | ~ big_q(B)
    | ~ big_p(A)
    | big_p(c11) ),
    inference(clausify,[status(thm)],[clause_88]) ).

fof(clause_101,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3] :
      ( big_q(VAR_3)
      | big_p(c19)
      | big_q(VAR_2)
      | big_q(f4(VAR_2))
      | big_p(VAR_1)
      | big_q(c14)
      | big_p(f3(VAR_0))
      | big_p(VAR_0) ),
    file('theBenchmark.p',clause_101) ).

cnf(c_93,plain,
    ( big_q(D)
    | big_p(c19)
    | big_q(C)
    | big_q(f4(C))
    | big_p(B)
    | big_q(c14)
    | big_p(f3(A))
    | big_p(A) ),
    inference(clausify,[status(thm)],[clause_101]) ).

fof(clause_121,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
      ( big_q(VAR_4)
      | ~ big_p(VAR_3)
      | big_q(c16)
      | ~ big_q(VAR_2)
      | ~ big_p(c15)
      | ~ big_q(VAR_1)
      | ~ big_p(f3(VAR_0))
      | ~ big_p(VAR_0) ),
    file('theBenchmark.p',clause_121) ).

cnf(c_113,plain,
    ( big_q(E)
    | ~ big_p(D)
    | big_q(c16)
    | ~ big_q(C)
    | ~ big_p(c15)
    | ~ big_q(B)
    | ~ big_p(f3(A))
    | ~ big_p(A) ),
    inference(clausify,[status(thm)],[clause_121]) ).

fof(clause_123,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
      ( big_q(VAR_4)
      | ~ big_p(VAR_3)
      | ~ big_q(c16)
      | big_q(VAR_2)
      | ~ big_p(c15)
      | ~ big_q(VAR_1)
      | ~ big_p(f3(VAR_0))
      | ~ big_p(VAR_0) ),
    file('theBenchmark.p',clause_123) ).

cnf(c_115,plain,
    ( big_q(E)
    | ~ big_p(D)
    | ~ big_q(c16)
    | big_q(C)
    | ~ big_p(c15)
    | ~ big_q(B)
    | ~ big_p(f3(A))
    | ~ big_p(A) ),
    inference(clausify,[status(thm)],[clause_123]) ).

fof(clause_128,axiom,
    ! [VAR_0,VAR_1,VAR_2,VAR_3] :
      ( ~ big_q(c20)
      | ~ big_p(VAR_3)
      | ~ big_q(VAR_2)
      | ~ big_q(f4(VAR_2))
      | ~ big_p(c15)
      | ~ big_q(VAR_1)
      | ~ big_p(f3(VAR_0))
      | ~ big_p(VAR_0) ),
    file('theBenchmark.p',clause_128) ).

cnf(c_120,plain,
    ( ~ big_q(c20)
    | ~ big_p(D)
    | ~ big_q(C)
    | ~ big_q(f4(C))
    | ~ big_p(c15)
    | ~ big_q(B)
    | ~ big_p(f3(A))
    | ~ big_p(A) ),
    inference(clausify,[status(thm)],[clause_128]) ).

cnf(c_127,plain,
    ( ~ big_q(c7)
    | big_p(c6)
    | ~ big_q(C)
    | ~ big_q(f2(C))
    | ~ big_q(B)
    | big_p(f1(A))
    | big_p(A) ),
    inference(factor,[status(thm)],[c_4]) ).

cnf(c_129,plain,
    ( big_q(D)
    | big_p(c9)
    | big_q(c8)
    | ~ big_q(C)
    | ~ big_q(B)
    | big_p(f1(A))
    | big_p(A) ),
    inference(factor,[status(thm)],[c_5]) ).

cnf(c_134,plain,
    ( big_q(D)
    | big_p(c9)
    | ~ big_q(c8)
    | big_q(C)
    | ~ big_q(B)
    | big_p(f1(A))
    | big_p(A) ),
    inference(factor,[status(thm)],[c_7]) ).

cnf(c_171,plain,
    ( big_q(C)
    | big_q(B)
    | big_q(f2(B))
    | ~ big_p(c2)
    | big_q(c1)
    | ~ big_p(f1(A))
    | ~ big_p(A) ),
    inference(factor,[status(thm)],[c_23]) ).

cnf(c_187,plain,
    ( big_q(D)
    | big_q(C)
    | big_q(f2(C))
    | big_p(B)
    | big_q(c4)
    | big_p(A)
    | ~ big_p(c3) ),
    inference(factor,[status(thm)],[c_29]) ).

cnf(c_226,plain,
    ( big_q(D)
    | ~ big_p(C)
    | big_q(B)
    | big_q(f2(B))
    | big_q(c4)
    | ~ big_p(A)
    | big_p(c3) ),
    inference(factor,[status(thm)],[c_45]) ).

cnf(c_265,plain,
    ( big_q(E)
    | big_q(c16)
    | ~ big_q(D)
    | big_p(C)
    | ~ big_q(B)
    | big_p(A)
    | ~ big_p(c11) ),
    inference(factor,[status(thm)],[c_61]) ).

cnf(c_271,plain,
    ( big_q(E)
    | ~ big_q(c16)
    | big_q(D)
    | big_p(C)
    | ~ big_q(B)
    | big_p(A)
    | ~ big_p(c11) ),
    inference(factor,[status(thm)],[c_63]) ).

cnf(c_284,plain,
    ( ~ big_q(c20)
    | ~ big_q(D)
    | ~ big_q(f4(D))
    | big_p(C)
    | ~ big_q(B)
    | big_p(A)
    | ~ big_p(c11) ),
    inference(factor,[status(thm)],[c_68]) ).

cnf(c_300,plain,
    ( big_q(E)
    | ~ big_p(D)
    | big_q(c16)
    | ~ big_q(C)
    | ~ big_q(B)
    | ~ big_p(A)
    | big_p(c11) ),
    inference(factor,[status(thm)],[c_75]) ).

cnf(c_306,plain,
    ( big_q(E)
    | ~ big_p(D)
    | ~ big_q(c16)
    | big_q(C)
    | ~ big_q(B)
    | ~ big_p(A)
    | big_p(c11) ),
    inference(factor,[status(thm)],[c_77]) ).

cnf(c_319,plain,
    ( ~ big_q(c20)
    | ~ big_p(D)
    | ~ big_q(C)
    | ~ big_q(f4(C))
    | ~ big_q(B)
    | ~ big_p(A)
    | big_p(c11) ),
    inference(factor,[status(thm)],[c_82]) ).

cnf(c_343,plain,
    ( big_q(C)
    | big_p(c19)
    | big_q(B)
    | big_q(f4(B))
    | big_q(c14)
    | big_p(f3(A))
    | big_p(A) ),
    inference(factor,[status(thm)],[c_93]) ).

cnf(c_388,plain,
    ( big_q(D)
    | big_q(c16)
    | ~ big_q(C)
    | ~ big_p(c15)
    | ~ big_q(B)
    | ~ big_p(f3(A))
    | ~ big_p(A) ),
    inference(factor,[status(thm)],[c_113]) ).

cnf(c_394,plain,
    ( big_q(D)
    | ~ big_q(c16)
    | big_q(C)
    | ~ big_p(c15)
    | ~ big_q(B)
    | ~ big_p(f3(A))
    | ~ big_p(A) ),
    inference(factor,[status(thm)],[c_115]) ).

cnf(c_407,plain,
    ( ~ big_q(c20)
    | ~ big_q(C)
    | ~ big_q(f4(C))
    | ~ big_p(c15)
    | ~ big_q(B)
    | ~ big_p(f3(A))
    | ~ big_p(A) ),
    inference(factor,[status(thm)],[c_120]) ).

cnf(c_414,plain,
    ( ~ big_q(c7)
    | big_p(c6)
    | ~ big_q(B)
    | ~ big_q(f2(B))
    | big_p(f1(A))
    | big_p(A) ),
    inference(factor,[status(thm)],[c_127]) ).

cnf(c_416,plain,
    ( big_q(C)
    | big_q(c8)
    | ~ big_q(B)
    | ~ big_q(A)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(factor,[status(thm)],[c_129]) ).

cnf(c_417,plain,
    ( big_q(C)
    | big_p(c9)
    | big_q(c8)
    | ~ big_q(B)
    | big_p(f1(A))
    | big_p(A) ),
    inference(factor,[status(thm)],[c_129]) ).

cnf(c_422,plain,
    ( big_q(C)
    | ~ big_q(c8)
    | big_q(B)
    | ~ big_q(A)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(factor,[status(thm)],[c_134]) ).

cnf(c_451,plain,
    ( big_q(B)
    | big_q(f2(B))
    | ~ big_p(c2)
    | big_q(c1)
    | ~ big_p(f1(A))
    | ~ big_p(A) ),
    inference(factor,[status(thm)],[c_171]) ).

cnf(c_463,plain,
    ( big_q(C)
    | big_q(B)
    | big_q(f2(B))
    | big_q(c4)
    | big_p(A)
    | ~ big_p(c3) ),
    inference(factor,[status(thm)],[c_187]) ).

cnf(c_499,plain,
    ( big_q(C)
    | big_q(B)
    | big_q(f2(B))
    | big_q(c4)
    | ~ big_p(A)
    | big_p(c3) ),
    inference(factor,[status(thm)],[c_226]) ).

cnf(c_536,plain,
    ( big_q(D)
    | big_q(c16)
    | ~ big_q(C)
    | ~ big_q(B)
    | big_p(A)
    | ~ big_p(c11) ),
    inference(factor,[status(thm)],[c_265]) ).

cnf(c_544,plain,
    ( big_q(D)
    | ~ big_q(c16)
    | big_q(C)
    | ~ big_q(B)
    | big_p(A)
    | ~ big_p(c11) ),
    inference(factor,[status(thm)],[c_271]) ).

cnf(c_558,plain,
    ( ~ big_q(c20)
    | ~ big_q(C)
    | ~ big_q(f4(C))
    | ~ big_q(B)
    | big_p(A)
    | ~ big_p(c11) ),
    inference(factor,[status(thm)],[c_284]) ).

cnf(c_568,plain,
    ( big_q(D)
    | big_q(c16)
    | ~ big_q(C)
    | ~ big_q(B)
    | ~ big_p(A)
    | big_p(c11) ),
    inference(factor,[status(thm)],[c_300]) ).

cnf(c_575,plain,
    ( big_q(D)
    | ~ big_q(c16)
    | big_q(C)
    | ~ big_q(B)
    | ~ big_p(A)
    | big_p(c11) ),
    inference(factor,[status(thm)],[c_306]) ).

cnf(c_586,plain,
    ( ~ big_q(c20)
    | ~ big_q(C)
    | ~ big_q(f4(C))
    | ~ big_q(B)
    | ~ big_p(A)
    | big_p(c11) ),
    inference(factor,[status(thm)],[c_319]) ).

cnf(c_608,plain,
    ( big_p(c19)
    | big_q(B)
    | big_q(f4(B))
    | big_q(c14)
    | big_p(f3(A))
    | big_p(A) ),
    inference(factor,[status(thm)],[c_343]) ).

cnf(c_639,plain,
    ( big_q(C)
    | big_q(c16)
    | ~ big_p(c15)
    | ~ big_q(B)
    | ~ big_p(f3(A))
    | ~ big_p(A) ),
    inference(factor,[status(thm)],[c_388]) ).

cnf(c_647,plain,
    ( big_q(C)
    | big_q(B)
    | ~ big_p(c15)
    | ~ big_q(c16)
    | ~ big_p(f3(A))
    | ~ big_p(A) ),
    inference(factor,[status(thm)],[c_394]) ).

cnf(c_658,plain,
    ( ~ big_q(c20)
    | ~ big_q(B)
    | ~ big_p(c15)
    | ~ big_q(f4(B))
    | ~ big_p(f3(A))
    | ~ big_p(A) ),
    inference(factor,[status(thm)],[c_407]) ).

cnf(c_662,plain,
    ( big_p(c6)
    | ~ big_q(c7)
    | ~ big_q(f2(c7))
    | big_p(f1(A))
    | big_p(A) ),
    inference(factor,[status(thm)],[c_414]) ).

cnf(c_663,plain,
    ( big_q(B)
    | big_q(c8)
    | ~ big_q(A)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(factor,[status(thm)],[c_416]) ).

cnf(c_665,plain,
    ( big_p(c9)
    | big_q(c8)
    | ~ big_q(B)
    | big_p(f1(A))
    | big_p(A) ),
    inference(factor,[status(thm)],[c_417]) ).

cnf(c_667,plain,
    ( big_q(B)
    | big_q(A)
    | ~ big_q(c8)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(factor,[status(thm)],[c_422]) ).

cnf(c_683,plain,
    ( big_q(B)
    | big_q(f2(c4))
    | big_q(c4)
    | big_p(A)
    | ~ big_p(c3) ),
    inference(factor,[status(thm)],[c_463]) ).

cnf(c_698,plain,
    ( big_q(B)
    | big_q(f2(c4))
    | big_q(c4)
    | ~ big_p(A)
    | big_p(c3) ),
    inference(factor,[status(thm)],[c_499]) ).

cnf(c_714,plain,
    ( big_q(C)
    | big_q(c16)
    | ~ big_q(B)
    | big_p(A)
    | ~ big_p(c11) ),
    inference(factor,[status(thm)],[c_536]) ).

cnf(c_718,plain,
    ( big_q(C)
    | big_q(B)
    | ~ big_q(c16)
    | big_p(A)
    | ~ big_p(c11) ),
    inference(factor,[status(thm)],[c_544]) ).

cnf(c_725,plain,
    ( ~ big_q(c20)
    | ~ big_q(B)
    | ~ big_q(f4(B))
    | big_p(A)
    | ~ big_p(c11) ),
    inference(factor,[status(thm)],[c_558]) ).

cnf(c_729,plain,
    ( big_q(C)
    | big_q(c16)
    | ~ big_q(B)
    | ~ big_p(A)
    | big_p(c11) ),
    inference(factor,[status(thm)],[c_568]) ).

cnf(c_733,plain,
    ( big_q(C)
    | big_q(B)
    | ~ big_q(c16)
    | ~ big_p(A)
    | big_p(c11) ),
    inference(factor,[status(thm)],[c_575]) ).

cnf(c_738,plain,
    ( ~ big_q(c20)
    | ~ big_q(B)
    | ~ big_q(f4(B))
    | ~ big_p(A)
    | big_p(c11) ),
    inference(factor,[status(thm)],[c_586]) ).

cnf(c_758,plain,
    ( big_q(c16)
    | ~ big_p(c15)
    | ~ big_q(B)
    | ~ big_p(f3(A))
    | ~ big_p(A) ),
    inference(factor,[status(thm)],[c_639]) ).

cnf(c_763,plain,
    ( big_q(B)
    | ~ big_p(c15)
    | ~ big_q(c16)
    | ~ big_p(f3(A))
    | ~ big_p(A) ),
    inference(factor,[status(thm)],[c_647]) ).

cnf(c_767,plain,
    ( ~ big_q(c20)
    | ~ big_p(c15)
    | ~ big_q(f4(c20))
    | ~ big_p(f3(A))
    | ~ big_p(A) ),
    inference(factor,[status(thm)],[c_658]) ).

cnf(c_769,plain,
    ( big_q(c8)
    | ~ big_q(A)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(factor,[status(thm)],[c_663]) ).

cnf(c_770,plain,
    ( big_q(A)
    | ~ big_q(c8)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(factor,[status(thm)],[c_667]) ).

cnf(c_772,plain,
    ( big_q(f2(c4))
    | big_q(c4)
    | big_p(A)
    | ~ big_p(c3) ),
    inference(factor,[status(thm)],[c_683]) ).

cnf(c_774,plain,
    ( big_q(f2(c4))
    | big_q(c4)
    | ~ big_p(A)
    | big_p(c3) ),
    inference(factor,[status(thm)],[c_698]) ).

cnf(c_776,plain,
    ( big_q(c16)
    | ~ big_q(B)
    | big_p(A)
    | ~ big_p(c11) ),
    inference(factor,[status(thm)],[c_714]) ).

cnf(c_777,plain,
    ( big_q(B)
    | ~ big_q(c16)
    | big_p(A)
    | ~ big_p(c11) ),
    inference(factor,[status(thm)],[c_718]) ).

cnf(c_778,plain,
    ( ~ big_q(c20)
    | ~ big_q(f4(c20))
    | big_p(A)
    | ~ big_p(c11) ),
    inference(factor,[status(thm)],[c_725]) ).

cnf(c_779,plain,
    ( big_q(c16)
    | ~ big_q(B)
    | ~ big_p(A)
    | big_p(c11) ),
    inference(factor,[status(thm)],[c_729]) ).

cnf(c_780,plain,
    ( big_q(B)
    | ~ big_q(c16)
    | ~ big_p(A)
    | big_p(c11) ),
    inference(factor,[status(thm)],[c_733]) ).

cnf(c_781,plain,
    ( ~ big_q(c20)
    | ~ big_q(f4(c20))
    | ~ big_p(A)
    | big_p(c11) ),
    inference(factor,[status(thm)],[c_738]) ).

cnf(c_1053,plain,
    ( big_p(c19)
    | big_q(C)
    | big_q(c14)
    | big_p(f3(B))
    | big_p(B)
    | big_p(c9)
    | big_q(c8)
    | big_p(f1(A))
    | big_p(A) ),
    inference(resolve,[status(thm)],[c_665,c_608]) ).

cnf(c_1054,plain,
    ( big_p(c19)
    | big_q(B)
    | big_q(c14)
    | big_p(f3(A))
    | big_p(A)
    | big_q(c8)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(factor,[status(thm)],[c_1053]) ).

cnf(c_1062,plain,
    ( big_p(c19)
    | big_q(A)
    | big_q(c14)
    | big_p(f3(c9))
    | big_q(c8)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(factor,[status(thm)],[c_1054]) ).

cnf(c_1077,plain,
    ( big_p(c19)
    | big_q(c14)
    | big_p(f3(c9))
    | big_q(c8)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(factor,[status(thm)],[c_1062]) ).

cnf(c_4655,plain,
    ( big_q(c8)
    | big_p(f1(c9))
    | big_p(c9)
    | big_p(c19)
    | big_p(f3(c9))
    | big_q(c8)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(resolve,[status(thm)],[c_1077,c_769]) ).

cnf(c_4656,plain,
    ( big_q(c8)
    | big_p(f1(c9))
    | big_p(c19)
    | big_p(f3(c9))
    | big_q(c8)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4655]) ).

cnf(c_4657,plain,
    ( big_q(c8)
    | big_p(c19)
    | big_p(f3(c9))
    | big_q(c8)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4656]) ).

cnf(c_1150,plain,
    ( big_p(c19)
    | big_p(f3(c9))
    | big_q(c8)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4657]) ).

cnf(c_4658,plain,
    ( big_q(A)
    | big_p(f1(c9))
    | big_p(c9)
    | big_p(c19)
    | big_p(f3(c9))
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(resolve,[status(thm)],[c_1150,c_770]) ).

cnf(c_4659,plain,
    ( big_q(A)
    | big_p(f1(c9))
    | big_p(c19)
    | big_p(f3(c9))
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4658]) ).

cnf(c_1155,plain,
    ( big_q(A)
    | big_p(c19)
    | big_p(f3(c9))
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4659]) ).

cnf(c_1191,plain,
    ( big_p(c6)
    | ~ big_q(c7)
    | big_p(f1(A))
    | big_p(A)
    | big_p(c19)
    | big_p(f3(c9))
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(resolve,[status(thm)],[c_1155,c_662]) ).

cnf(c_4660,plain,
    ( big_p(c6)
    | ~ big_q(c7)
    | big_p(f1(c9))
    | big_p(c19)
    | big_p(f3(c9))
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(factor,[status(thm)],[c_1191]) ).

cnf(c_1205,plain,
    ( big_p(c6)
    | ~ big_q(c7)
    | big_p(c19)
    | big_p(f3(c9))
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4660]) ).

cnf(c_4661,plain,
    ( big_p(c19)
    | big_p(f3(c9))
    | big_p(f1(c9))
    | big_p(c9)
    | big_p(c6)
    | big_p(c19)
    | big_p(f3(c9))
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(resolve,[status(thm)],[c_1205,c_1155]) ).

cnf(c_4662,plain,
    ( big_p(c19)
    | big_p(f3(c9))
    | big_p(f1(c9))
    | big_p(c6)
    | big_p(c19)
    | big_p(f3(c9))
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4661]) ).

cnf(c_4663,plain,
    ( big_p(c19)
    | big_p(f3(c9))
    | big_p(c6)
    | big_p(c19)
    | big_p(f3(c9))
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4662]) ).

cnf(c_4664,plain,
    ( big_p(c19)
    | big_p(c6)
    | big_p(c19)
    | big_p(f3(c9))
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4663]) ).

cnf(c_1487,plain,
    ( big_p(c6)
    | big_p(c19)
    | big_p(f3(c9))
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4664]) ).

cnf(c_1494,plain,
    ( big_q(f2(c4))
    | big_q(c4)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(resolve,[status(thm)],[c_1487,c_774]) ).

cnf(c_4665,plain,
    ( big_q(c8)
    | big_p(f1(c9))
    | big_p(c9)
    | big_q(c4)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(resolve,[status(thm)],[c_1494,c_769]) ).

cnf(c_4666,plain,
    ( big_q(c8)
    | big_p(f1(c9))
    | big_q(c4)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4665]) ).

cnf(c_2767,plain,
    ( big_q(c8)
    | big_q(c4)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4666]) ).

cnf(c_4667,plain,
    ( big_q(c8)
    | big_p(f1(c9))
    | big_p(c9)
    | big_q(c8)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(resolve,[status(thm)],[c_2767,c_769]) ).

cnf(c_4668,plain,
    ( big_q(c8)
    | big_p(f1(c9))
    | big_q(c8)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4667]) ).

cnf(c_4669,plain,
    ( big_q(c8)
    | big_q(c8)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4668]) ).

cnf(c_2804,plain,
    ( big_q(c8)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4669]) ).

cnf(c_4670,plain,
    ( big_q(A)
    | big_p(f1(c9))
    | big_p(c9)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(resolve,[status(thm)],[c_2804,c_770]) ).

cnf(c_4671,plain,
    ( big_q(A)
    | big_p(f1(c9))
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4670]) ).

cnf(c_2810,plain,
    ( big_q(A)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4671]) ).

cnf(c_4672,plain,
    ( big_p(c6)
    | ~ big_q(c7)
    | big_p(f1(A))
    | big_p(A)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(resolve,[status(thm)],[c_2810,c_662]) ).

cnf(c_2839,plain,
    ( ~ big_q(c7)
    | big_p(f1(A))
    | big_p(A)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4672]) ).

cnf(c_4673,plain,
    ( ~ big_q(c7)
    | big_p(f1(c9))
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(factor,[status(thm)],[c_2839]) ).

cnf(c_2849,plain,
    ( ~ big_q(c7)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4673]) ).

cnf(c_4674,plain,
    ( big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(resolve,[status(thm)],[c_2849,c_2810]) ).

cnf(c_4675,plain,
    ( big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4674]) ).

cnf(c_4676,plain,
    ( big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4675]) ).

cnf(c_4677,plain,
    ( big_p(c3)
    | big_p(c6)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4676]) ).

cnf(c_4678,plain,
    ( big_p(c3)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4677]) ).

cnf(c_2851,plain,
    ( big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(f1(c9))
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4678]) ).

cnf(c_2876,plain,
    ( big_q(A)
    | ~ big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(resolve,[status(thm)],[c_2851,c_780]) ).

cnf(c_2877,plain,
    ( big_q(c16)
    | ~ big_q(A)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(resolve,[status(thm)],[c_2851,c_779]) ).

cnf(c_4679,plain,
    ( big_q(f2(c4))
    | big_q(c4)
    | big_p(c3)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(resolve,[status(thm)],[c_2851,c_774]) ).

cnf(c_2878,plain,
    ( big_q(f2(c4))
    | big_q(c4)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4679]) ).

cnf(c_4680,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9)
    | big_q(c4)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(resolve,[status(thm)],[c_2878,c_2877]) ).

cnf(c_4681,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_q(c4)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4680]) ).

cnf(c_4682,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_q(c4)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4681]) ).

cnf(c_4683,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_q(c4)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4682]) ).

cnf(c_2975,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_q(c4)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4683]) ).

cnf(c_4684,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9)
    | big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(resolve,[status(thm)],[c_2975,c_2877]) ).

cnf(c_4685,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4684]) ).

cnf(c_4686,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4685]) ).

cnf(c_4687,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4686]) ).

cnf(c_4688,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4687]) ).

cnf(c_4689,plain,
    ( big_q(c16)
    | big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4688]) ).

cnf(c_3115,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4689]) ).

cnf(c_4690,plain,
    ( big_q(A)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(resolve,[status(thm)],[c_3115,c_2876]) ).

cnf(c_4691,plain,
    ( big_q(A)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4690]) ).

cnf(c_4692,plain,
    ( big_q(A)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4691]) ).

cnf(c_4693,plain,
    ( big_q(A)
    | big_p(c11)
    | big_p(c3)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4692]) ).

cnf(c_4694,plain,
    ( big_q(A)
    | big_p(c11)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4693]) ).

cnf(c_3116,plain,
    ( big_q(A)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4694]) ).

cnf(c_4695,plain,
    ( ~ big_q(c20)
    | ~ big_p(A)
    | big_p(c11)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(resolve,[status(thm)],[c_3116,c_781]) ).

cnf(c_3129,plain,
    ( ~ big_q(c20)
    | ~ big_p(A)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4695]) ).

cnf(c_4696,plain,
    ( big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9)
    | ~ big_q(c20)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(resolve,[status(thm)],[c_3129,c_2851]) ).

cnf(c_4697,plain,
    ( big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | ~ big_q(c20)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4696]) ).

cnf(c_4698,plain,
    ( big_p(c3)
    | big_p(c6)
    | ~ big_q(c20)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4697]) ).

cnf(c_4699,plain,
    ( big_p(c3)
    | ~ big_q(c20)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4698]) ).

cnf(c_3153,plain,
    ( ~ big_q(c20)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4699]) ).

cnf(c_4700,plain,
    ( big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(resolve,[status(thm)],[c_3153,c_3116]) ).

cnf(c_4701,plain,
    ( big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4700]) ).

cnf(c_4702,plain,
    ( big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4701]) ).

cnf(c_4703,plain,
    ( big_p(c11)
    | big_p(c3)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4702]) ).

cnf(c_4704,plain,
    ( big_p(c11)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4703]) ).

cnf(c_3155,plain,
    ( big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c9) ),
    inference(copy,[status(thm)],[c_4704]) ).

cnf(c_4705,plain,
    ( ~ big_q(c20)
    | ~ big_q(f4(c20))
    | big_p(c11)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(resolve,[status(thm)],[c_3155,c_781]) ).

cnf(c_3180,plain,
    ( ~ big_q(c20)
    | ~ big_q(f4(c20))
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4705]) ).

cnf(c_4706,plain,
    ( big_q(A)
    | ~ big_q(c16)
    | big_p(c11)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(resolve,[status(thm)],[c_3155,c_780]) ).

cnf(c_3181,plain,
    ( big_q(A)
    | ~ big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4706]) ).

cnf(c_4707,plain,
    ( big_q(c16)
    | ~ big_q(A)
    | big_p(c11)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(resolve,[status(thm)],[c_3155,c_779]) ).

cnf(c_3182,plain,
    ( big_q(c16)
    | ~ big_q(A)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4707]) ).

cnf(c_4708,plain,
    ( big_q(f2(c4))
    | big_q(c4)
    | big_p(c3)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(resolve,[status(thm)],[c_3155,c_774]) ).

cnf(c_3183,plain,
    ( big_q(f2(c4))
    | big_q(c4)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4708]) ).

cnf(c_4709,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_q(c4)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(resolve,[status(thm)],[c_3183,c_3182]) ).

cnf(c_4710,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_q(c4)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4709]) ).

cnf(c_4711,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_q(c4)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4710]) ).

cnf(c_4712,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_q(c4)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4711]) ).

cnf(c_3474,plain,
    ( big_q(c16)
    | big_q(c4)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4712]) ).

cnf(c_4713,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(resolve,[status(thm)],[c_3474,c_3182]) ).

cnf(c_4714,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4713]) ).

cnf(c_4715,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4714]) ).

cnf(c_4716,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4715]) ).

cnf(c_4717,plain,
    ( big_q(c16)
    | big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4716]) ).

cnf(c_3502,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4717]) ).

cnf(c_4718,plain,
    ( big_q(A)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(resolve,[status(thm)],[c_3502,c_3181]) ).

cnf(c_4719,plain,
    ( big_q(A)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4718]) ).

cnf(c_4720,plain,
    ( big_q(A)
    | big_p(c11)
    | big_p(c3)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4719]) ).

cnf(c_4721,plain,
    ( big_q(A)
    | big_p(c11)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4720]) ).

cnf(c_3503,plain,
    ( big_q(A)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4721]) ).

cnf(c_4722,plain,
    ( ~ big_q(c20)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(resolve,[status(thm)],[c_3503,c_3180]) ).

cnf(c_4723,plain,
    ( ~ big_q(c20)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4722]) ).

cnf(c_4724,plain,
    ( ~ big_q(c20)
    | big_p(c11)
    | big_p(c3)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4723]) ).

cnf(c_4725,plain,
    ( ~ big_q(c20)
    | big_p(c11)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4724]) ).

cnf(c_3514,plain,
    ( ~ big_q(c20)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4725]) ).

cnf(c_4726,plain,
    ( big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(resolve,[status(thm)],[c_3514,c_3503]) ).

cnf(c_4727,plain,
    ( big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4726]) ).

cnf(c_4728,plain,
    ( big_p(c11)
    | big_p(c3)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4727]) ).

cnf(c_4729,plain,
    ( big_p(c11)
    | big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4728]) ).

cnf(c_3538,plain,
    ( big_p(c11)
    | big_p(c3)
    | big_p(c6)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4729]) ).

cnf(c_4730,plain,
    ( ~ big_q(c20)
    | ~ big_q(f4(c20))
    | big_p(c11)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(resolve,[status(thm)],[c_3538,c_781]) ).

cnf(c_3579,plain,
    ( ~ big_q(c20)
    | ~ big_q(f4(c20))
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4730]) ).

cnf(c_4731,plain,
    ( big_q(A)
    | ~ big_q(c16)
    | big_p(c11)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(resolve,[status(thm)],[c_3538,c_780]) ).

cnf(c_3580,plain,
    ( big_q(A)
    | ~ big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4731]) ).

cnf(c_4732,plain,
    ( big_q(c16)
    | ~ big_q(A)
    | big_p(c11)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(resolve,[status(thm)],[c_3538,c_779]) ).

cnf(c_3581,plain,
    ( big_q(c16)
    | ~ big_q(A)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4732]) ).

cnf(c_4733,plain,
    ( big_q(f2(c4))
    | big_q(c4)
    | big_p(c3)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(resolve,[status(thm)],[c_3538,c_774]) ).

cnf(c_3582,plain,
    ( big_q(f2(c4))
    | big_q(c4)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4733]) ).

cnf(c_4734,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19)
    | big_q(c4)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(resolve,[status(thm)],[c_3582,c_3581]) ).

cnf(c_4735,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_q(c4)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4734]) ).

cnf(c_4736,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_q(c4)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4735]) ).

cnf(c_3756,plain,
    ( big_q(c16)
    | big_q(c4)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4736]) ).

cnf(c_4737,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19)
    | big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(resolve,[status(thm)],[c_3756,c_3581]) ).

cnf(c_4738,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4737]) ).

cnf(c_4739,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4738]) ).

cnf(c_4740,plain,
    ( big_q(c16)
    | big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4739]) ).

cnf(c_3778,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4740]) ).

cnf(c_4741,plain,
    ( big_q(A)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(resolve,[status(thm)],[c_3778,c_3580]) ).

cnf(c_4742,plain,
    ( big_q(A)
    | big_p(c11)
    | big_p(c3)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4741]) ).

cnf(c_4743,plain,
    ( big_q(A)
    | big_p(c11)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4742]) ).

cnf(c_3779,plain,
    ( big_q(A)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4743]) ).

cnf(c_4744,plain,
    ( ~ big_q(c20)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(resolve,[status(thm)],[c_3779,c_3579]) ).

cnf(c_4745,plain,
    ( ~ big_q(c20)
    | big_p(c11)
    | big_p(c3)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4744]) ).

cnf(c_4746,plain,
    ( ~ big_q(c20)
    | big_p(c11)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4745]) ).

cnf(c_3783,plain,
    ( ~ big_q(c20)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4746]) ).

cnf(c_4747,plain,
    ( big_p(c11)
    | big_p(c3)
    | big_p(c19)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(resolve,[status(thm)],[c_3783,c_3779]) ).

cnf(c_4748,plain,
    ( big_p(c11)
    | big_p(c3)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4747]) ).

cnf(c_4749,plain,
    ( big_p(c11)
    | big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4748]) ).

cnf(c_3786,plain,
    ( big_p(c11)
    | big_p(c3)
    | big_p(c19) ),
    inference(copy,[status(thm)],[c_4749]) ).

cnf(c_4750,plain,
    ( ~ big_q(c20)
    | ~ big_q(f4(c20))
    | big_p(c11)
    | big_p(c11)
    | big_p(c3) ),
    inference(resolve,[status(thm)],[c_3786,c_781]) ).

cnf(c_3787,plain,
    ( ~ big_q(c20)
    | ~ big_q(f4(c20))
    | big_p(c11)
    | big_p(c3) ),
    inference(copy,[status(thm)],[c_4750]) ).

cnf(c_4751,plain,
    ( big_q(A)
    | ~ big_q(c16)
    | big_p(c11)
    | big_p(c11)
    | big_p(c3) ),
    inference(resolve,[status(thm)],[c_3786,c_780]) ).

cnf(c_3788,plain,
    ( big_q(A)
    | ~ big_q(c16)
    | big_p(c11)
    | big_p(c3) ),
    inference(copy,[status(thm)],[c_4751]) ).

cnf(c_4752,plain,
    ( big_q(c16)
    | ~ big_q(A)
    | big_p(c11)
    | big_p(c11)
    | big_p(c3) ),
    inference(resolve,[status(thm)],[c_3786,c_779]) ).

cnf(c_3789,plain,
    ( big_q(c16)
    | ~ big_q(A)
    | big_p(c11)
    | big_p(c3) ),
    inference(copy,[status(thm)],[c_4752]) ).

cnf(c_4753,plain,
    ( big_q(f2(c4))
    | big_q(c4)
    | big_p(c3)
    | big_p(c11)
    | big_p(c3) ),
    inference(resolve,[status(thm)],[c_3786,c_774]) ).

cnf(c_3790,plain,
    ( big_q(f2(c4))
    | big_q(c4)
    | big_p(c11)
    | big_p(c3) ),
    inference(copy,[status(thm)],[c_4753]) ).

cnf(c_4754,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_q(c4)
    | big_p(c11)
    | big_p(c3) ),
    inference(resolve,[status(thm)],[c_3790,c_3789]) ).

cnf(c_4755,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_q(c4)
    | big_p(c11)
    | big_p(c3) ),
    inference(copy,[status(thm)],[c_4754]) ).

cnf(c_3829,plain,
    ( big_q(c16)
    | big_q(c4)
    | big_p(c11)
    | big_p(c3) ),
    inference(copy,[status(thm)],[c_4755]) ).

cnf(c_4756,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3)
    | big_q(c16)
    | big_p(c11)
    | big_p(c3) ),
    inference(resolve,[status(thm)],[c_3829,c_3789]) ).

cnf(c_4757,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_q(c16)
    | big_p(c11)
    | big_p(c3) ),
    inference(copy,[status(thm)],[c_4756]) ).

cnf(c_4758,plain,
    ( big_q(c16)
    | big_q(c16)
    | big_p(c11)
    | big_p(c3) ),
    inference(copy,[status(thm)],[c_4757]) ).

cnf(c_3838,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_p(c3) ),
    inference(copy,[status(thm)],[c_4758]) ).

cnf(c_4759,plain,
    ( big_q(A)
    | big_p(c11)
    | big_p(c3)
    | big_p(c11)
    | big_p(c3) ),
    inference(resolve,[status(thm)],[c_3838,c_3788]) ).

cnf(c_4760,plain,
    ( big_q(A)
    | big_p(c11)
    | big_p(c11)
    | big_p(c3) ),
    inference(copy,[status(thm)],[c_4759]) ).

cnf(c_3839,plain,
    ( big_q(A)
    | big_p(c11)
    | big_p(c3) ),
    inference(copy,[status(thm)],[c_4760]) ).

cnf(c_4761,plain,
    ( ~ big_q(c20)
    | big_p(c11)
    | big_p(c3)
    | big_p(c11)
    | big_p(c3) ),
    inference(resolve,[status(thm)],[c_3839,c_3787]) ).

cnf(c_4762,plain,
    ( ~ big_q(c20)
    | big_p(c11)
    | big_p(c11)
    | big_p(c3) ),
    inference(copy,[status(thm)],[c_4761]) ).

cnf(c_3849,plain,
    ( ~ big_q(c20)
    | big_p(c11)
    | big_p(c3) ),
    inference(copy,[status(thm)],[c_4762]) ).

cnf(c_4763,plain,
    ( big_p(c11)
    | big_p(c3)
    | big_p(c11)
    | big_p(c3) ),
    inference(resolve,[status(thm)],[c_3849,c_3839]) ).

cnf(c_4764,plain,
    ( big_p(c11)
    | big_p(c11)
    | big_p(c3) ),
    inference(copy,[status(thm)],[c_4763]) ).

cnf(c_3870,plain,
    ( big_p(c11)
    | big_p(c3) ),
    inference(copy,[status(thm)],[c_4764]) ).

cnf(c_4765,plain,
    ( ~ big_q(c20)
    | ~ big_q(f4(c20))
    | big_p(c11)
    | big_p(c11) ),
    inference(resolve,[status(thm)],[c_3870,c_781]) ).

cnf(c_3933,plain,
    ( ~ big_q(c20)
    | ~ big_q(f4(c20))
    | big_p(c11) ),
    inference(copy,[status(thm)],[c_4765]) ).

cnf(c_4766,plain,
    ( big_q(A)
    | ~ big_q(c16)
    | big_p(c11)
    | big_p(c11) ),
    inference(resolve,[status(thm)],[c_3870,c_780]) ).

cnf(c_3934,plain,
    ( big_q(A)
    | ~ big_q(c16)
    | big_p(c11) ),
    inference(copy,[status(thm)],[c_4766]) ).

cnf(c_4767,plain,
    ( big_q(c16)
    | ~ big_q(A)
    | big_p(c11)
    | big_p(c11) ),
    inference(resolve,[status(thm)],[c_3870,c_779]) ).

cnf(c_3935,plain,
    ( big_q(c16)
    | ~ big_q(A)
    | big_p(c11) ),
    inference(copy,[status(thm)],[c_4767]) ).

cnf(c_3937,plain,
    ( big_q(f2(c4))
    | big_q(c4)
    | big_p(A)
    | big_p(c11) ),
    inference(resolve,[status(thm)],[c_3870,c_772]) ).

cnf(c_4013,plain,
    ( big_q(f2(c4))
    | big_q(c4)
    | big_p(c11) ),
    inference(factor,[status(thm)],[c_3937]) ).

cnf(c_4768,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_q(c4)
    | big_p(c11) ),
    inference(resolve,[status(thm)],[c_4013,c_3935]) ).

cnf(c_4063,plain,
    ( big_q(c16)
    | big_q(c4)
    | big_p(c11) ),
    inference(copy,[status(thm)],[c_4768]) ).

cnf(c_4769,plain,
    ( big_q(c16)
    | big_p(c11)
    | big_q(c16)
    | big_p(c11) ),
    inference(resolve,[status(thm)],[c_4063,c_3935]) ).

cnf(c_4770,plain,
    ( big_q(c16)
    | big_q(c16)
    | big_p(c11) ),
    inference(copy,[status(thm)],[c_4769]) ).

cnf(c_4113,plain,
    ( big_q(c16)
    | big_p(c11) ),
    inference(copy,[status(thm)],[c_4770]) ).

cnf(c_4771,plain,
    ( big_q(A)
    | big_p(c11)
    | big_p(c11) ),
    inference(resolve,[status(thm)],[c_4113,c_3934]) ).

cnf(c_4115,plain,
    ( big_q(A)
    | big_p(c11) ),
    inference(copy,[status(thm)],[c_4771]) ).

cnf(c_4772,plain,
    ( ~ big_q(c20)
    | big_p(c11)
    | big_p(c11) ),
    inference(resolve,[status(thm)],[c_4115,c_3933]) ).

cnf(c_4126,plain,
    ( ~ big_q(c20)
    | big_p(c11) ),
    inference(copy,[status(thm)],[c_4772]) ).

cnf(c_4773,plain,
    ( big_p(c11)
    | big_p(c11) ),
    inference(resolve,[status(thm)],[c_4126,c_4115]) ).

cnf(c_4146,plain,
    big_p(c11),
    inference(copy,[status(thm)],[c_4773]) ).

cnf(c_4189,plain,
    ( ~ big_q(c20)
    | ~ big_q(f4(c20))
    | big_p(A) ),
    inference(resolve,[status(thm)],[c_4146,c_778]) ).

cnf(c_4190,plain,
    ( big_q(B)
    | ~ big_q(c16)
    | big_p(A) ),
    inference(resolve,[status(thm)],[c_4146,c_777]) ).

cnf(c_4191,plain,
    ( big_q(c16)
    | ~ big_q(B)
    | big_p(A) ),
    inference(resolve,[status(thm)],[c_4146,c_776]) ).

cnf(c_4282,plain,
    ( big_q(f2(c4))
    | big_q(c4)
    | big_p(c3) ),
    inference(resolve,[status(thm)],[c_4146,c_774]) ).

cnf(c_4405,plain,
    ( big_q(c16)
    | big_p(A)
    | big_q(c4)
    | big_p(c3) ),
    inference(resolve,[status(thm)],[c_4282,c_4191]) ).

cnf(c_4418,plain,
    ( big_q(c16)
    | big_q(c4)
    | big_p(c3) ),
    inference(factor,[status(thm)],[c_4405]) ).

cnf(c_4774,plain,
    ( big_q(c16)
    | big_p(A)
    | big_q(c16)
    | big_p(c3) ),
    inference(resolve,[status(thm)],[c_4418,c_4191]) ).

cnf(c_4424,plain,
    ( big_p(A)
    | big_q(c16)
    | big_p(c3) ),
    inference(copy,[status(thm)],[c_4774]) ).

cnf(c_4428,plain,
    ( big_q(c16)
    | big_p(c3) ),
    inference(factor,[status(thm)],[c_4424]) ).

cnf(c_4430,plain,
    ( big_q(B)
    | big_p(A)
    | big_p(c3) ),
    inference(resolve,[status(thm)],[c_4428,c_4190]) ).

cnf(c_4443,plain,
    ( big_q(A)
    | big_p(c3) ),
    inference(factor,[status(thm)],[c_4430]) ).

cnf(c_4451,plain,
    ( ~ big_q(c20)
    | big_p(A)
    | big_p(c3) ),
    inference(resolve,[status(thm)],[c_4443,c_4189]) ).

cnf(c_4471,plain,
    ( ~ big_q(c20)
    | big_p(c3) ),
    inference(factor,[status(thm)],[c_4451]) ).

cnf(c_4775,plain,
    ( big_p(c3)
    | big_p(c3) ),
    inference(resolve,[status(thm)],[c_4471,c_4443]) ).

cnf(c_4475,plain,
    big_p(c3),
    inference(copy,[status(thm)],[c_4775]) ).

cnf(c_4497,plain,
    ( big_q(f2(c4))
    | big_q(c4)
    | big_p(A) ),
    inference(resolve,[status(thm)],[c_4475,c_772]) ).

cnf(c_4522,plain,
    ( ~ big_q(c20)
    | ~ big_p(c15)
    | ~ big_q(f4(c20))
    | ~ big_p(f3(c3)) ),
    inference(resolve,[status(thm)],[c_4475,c_767]) ).

cnf(c_4523,plain,
    ( big_q(A)
    | ~ big_p(c15)
    | ~ big_q(c16)
    | ~ big_p(f3(c3)) ),
    inference(resolve,[status(thm)],[c_4475,c_763]) ).

cnf(c_4524,plain,
    ( big_q(c16)
    | ~ big_p(c15)
    | ~ big_q(A)
    | ~ big_p(f3(c3)) ),
    inference(resolve,[status(thm)],[c_4475,c_758]) ).

cnf(c_4537,plain,
    ( big_q(A)
    | big_q(f2(A))
    | ~ big_p(c2)
    | big_q(c1)
    | ~ big_p(f1(c3)) ),
    inference(resolve,[status(thm)],[c_4475,c_451]) ).

cnf(c_4545,plain,
    ( big_q(c16)
    | big_p(B)
    | big_q(c4)
    | big_p(A) ),
    inference(resolve,[status(thm)],[c_4497,c_4191]) ).

cnf(c_4557,plain,
    ( big_q(c16)
    | big_q(c4)
    | big_p(A) ),
    inference(factor,[status(thm)],[c_4545]) ).

cnf(c_4776,plain,
    ( big_q(c16)
    | big_p(B)
    | big_q(c16)
    | big_p(A) ),
    inference(resolve,[status(thm)],[c_4557,c_4191]) ).

cnf(c_4576,plain,
    ( big_p(B)
    | big_q(c16)
    | big_p(A) ),
    inference(copy,[status(thm)],[c_4776]) ).

cnf(c_4579,plain,
    ( big_q(c16)
    | big_p(A) ),
    inference(factor,[status(thm)],[c_4576]) ).

cnf(c_4582,plain,
    ( big_q(C)
    | big_p(B)
    | big_p(A) ),
    inference(resolve,[status(thm)],[c_4579,c_4190]) ).

cnf(c_4592,plain,
    ( big_q(B)
    | big_p(A) ),
    inference(factor,[status(thm)],[c_4582]) ).

cnf(c_4607,plain,
    ( ~ big_q(c20)
    | big_p(B)
    | big_p(A) ),
    inference(resolve,[status(thm)],[c_4592,c_4189]) ).

cnf(c_4624,plain,
    ( ~ big_q(c20)
    | big_p(A) ),
    inference(factor,[status(thm)],[c_4607]) ).

cnf(c_4634,plain,
    ( big_p(B)
    | big_p(A) ),
    inference(resolve,[status(thm)],[c_4624,c_4592]) ).

cnf(c_4635,plain,
    big_p(A),
    inference(factor,[status(thm)],[c_4634]) ).

cnf(c_4777,plain,
    ( big_q(A)
    | big_q(f2(A))
    | ~ big_p(c2)
    | big_q(c1) ),
    inference(resolve,[status(thm)],[c_4635,c_4537]) ).

cnf(c_4636,plain,
    ( big_q(A)
    | big_q(f2(A))
    | big_q(c1) ),
    inference(resolve,[status(thm)],[c_4635,c_4777]) ).

cnf(c_4778,plain,
    ( big_q(c16)
    | ~ big_p(c15)
    | ~ big_q(A) ),
    inference(resolve,[status(thm)],[c_4635,c_4524]) ).

cnf(c_4643,plain,
    ( big_q(c16)
    | ~ big_q(A) ),
    inference(resolve,[status(thm)],[c_4635,c_4778]) ).

cnf(c_4779,plain,
    ( big_q(A)
    | ~ big_p(c15)
    | ~ big_q(c16) ),
    inference(resolve,[status(thm)],[c_4635,c_4523]) ).

cnf(c_4644,plain,
    ( big_q(A)
    | ~ big_q(c16) ),
    inference(resolve,[status(thm)],[c_4635,c_4779]) ).

cnf(c_4780,plain,
    ( ~ big_q(c20)
    | ~ big_p(c15)
    | ~ big_q(f4(c20)) ),
    inference(resolve,[status(thm)],[c_4635,c_4522]) ).

cnf(c_4645,plain,
    ( ~ big_q(c20)
    | ~ big_q(f4(c20)) ),
    inference(resolve,[status(thm)],[c_4635,c_4780]) ).

cnf(c_4646,plain,
    ( big_q(c16)
    | big_q(A)
    | big_q(c1) ),
    inference(resolve,[status(thm)],[c_4636,c_4643]) ).

cnf(c_4647,plain,
    ( big_q(c16)
    | big_q(c1) ),
    inference(factor,[status(thm)],[c_4646]) ).

cnf(c_4781,plain,
    ( big_q(c16)
    | big_q(c16) ),
    inference(resolve,[status(thm)],[c_4647,c_4643]) ).

cnf(c_4652,plain,
    big_q(c16),
    inference(copy,[status(thm)],[c_4781]) ).

cnf(c_4653,plain,
    big_q(A),
    inference(resolve,[status(thm)],[c_4652,c_4644]) ).

cnf(c_4782,plain,
    ~ big_q(c20),
    inference(resolve,[status(thm)],[c_4653,c_4645]) ).

cnf(c_4654,plain,
    $false,
    inference(resolve,[status(thm)],[c_4653,c_4782]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN036-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37  % Computer : n015.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8046.5625MB
% 0.12/0.37  % OS       : Linux 6.8.0-71-generic
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Sat Sep 26 17:08:14 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.38  % Process 349419 was started by sandbox on n015,
% 0.12/0.38  % Sat Sep 26 17:08:14 2026
% 0.12/0.38  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/0.39  
% 0.12/0.39  % From the command line: assign(max_seconds, 300).
% 3.77/0.98  
% 3.77/0.98  % SZS status Unsatisfiable for theBenchmark
% 3.77/0.98  
% 3.77/0.98  % Proof 1 at 0.45 (+ 0.13) seconds.
% 3.77/0.98  % Length of proof is 173.
% 3.77/0.98  % Level of proof is 78.
% 3.77/0.98  % Maximum clause weight is 30.000.
% 3.77/0.98  % Given clauses 455.
% 3.77/0.98  
% 3.77/0.98  % SZS output start CNFRefutation for theBenchmark
% See solution above
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