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%------------------------------------------------------------------------------
% File     : Prover9---2026-6A
% Problem  : SYN036-4 : 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 : n002.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 09:36:48 AM UTC 2026

% Result   : Unsatisfiable 0.13s 0.39s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   58
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  121 (   6 unt;   0 def)
%            Number of atoms       :  488 (   0 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :  517 ( 150   ~; 367   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-1 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-1 aty)
%            Number of variables   :  142 (  72 sgn  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(clause_1,axiom,
    ! [VAR_0,VAR_1] :
      ( q(VAR_1)
      | p(VAR_0)
      | ~ q(cw)
      | ~ p(cx) ),
    file('theBenchmark.p',clause_1) ).

cnf(c_1,plain,
    ( q(B)
    | p(A)
    | ~ q(cw)
    | ~ p(cx) ),
    inference(clausify,[status(thm)],[clause_1]) ).

fof(clause_2,axiom,
    ! [VAR_0,VAR_1] :
      ( q(cw)
      | p(VAR_1)
      | ~ q(VAR_0)
      | ~ p(cx) ),
    file('theBenchmark.p',clause_2) ).

cnf(c_2,plain,
    ( q(cw)
    | p(B)
    | ~ q(A)
    | ~ p(cx) ),
    inference(clausify,[status(thm)],[clause_2]) ).

fof(clause_3,axiom,
    ! [VAR_0,VAR_1] :
      ( q(VAR_1)
      | p(cx)
      | ~ q(cw)
      | ~ p(VAR_0) ),
    file('theBenchmark.p',clause_3) ).

cnf(c_3,plain,
    ( q(B)
    | p(cx)
    | ~ q(cw)
    | ~ p(A) ),
    inference(clausify,[status(thm)],[clause_3]) ).

fof(clause_4,axiom,
    ! [VAR_0,VAR_1] :
      ( q(cw)
      | p(cx)
      | ~ q(VAR_1)
      | ~ p(VAR_0) ),
    file('theBenchmark.p',clause_4) ).

cnf(c_4,plain,
    ( q(cw)
    | p(cx)
    | ~ q(B)
    | ~ p(A) ),
    inference(clausify,[status(thm)],[clause_4]) ).

fof(clause_5,axiom,
    ! [VAR_0,VAR_1] :
      ( q(VAR_1)
      | ~ q(cw)
      | ~ p(fy5(VAR_0))
      | ~ p(VAR_0)
      | ~ p(cx) ),
    file('theBenchmark.p',clause_5) ).

cnf(c_5,plain,
    ( q(B)
    | ~ q(cw)
    | ~ p(fy5(A))
    | ~ p(A)
    | ~ p(cx) ),
    inference(clausify,[status(thm)],[clause_5]) ).

fof(clause_6,axiom,
    ! [VAR_0,VAR_1] :
      ( q(cw)
      | ~ q(VAR_1)
      | ~ p(fy5(VAR_0))
      | ~ p(VAR_0)
      | ~ p(cx) ),
    file('theBenchmark.p',clause_6) ).

cnf(c_6,plain,
    ( q(cw)
    | ~ q(B)
    | ~ p(fy5(A))
    | ~ p(A)
    | ~ p(cx) ),
    inference(clausify,[status(thm)],[clause_6]) ).

fof(clause_7,axiom,
    ! [VAR_0,VAR_1] :
      ( p(VAR_1)
      | ~ q(fz5(VAR_0))
      | ~ q(VAR_0)
      | ~ q(cw)
      | ~ p(cx) ),
    file('theBenchmark.p',clause_7) ).

cnf(c_7,plain,
    ( p(B)
    | ~ q(fz5(A))
    | ~ q(A)
    | ~ q(cw)
    | ~ p(cx) ),
    inference(clausify,[status(thm)],[clause_7]) ).

fof(clause_10,axiom,
    ! [VAR_0,VAR_1] :
      ( q(fz(VAR_1))
      | q(VAR_1)
      | q(cw)
      | p(VAR_0)
      | ~ p(cx) ),
    file('theBenchmark.p',clause_10) ).

cnf(c_10,plain,
    ( q(fz(B))
    | q(B)
    | q(cw)
    | p(A)
    | ~ p(cx) ),
    inference(clausify,[status(thm)],[clause_10]) ).

fof(clause_15,axiom,
    ! [VAR_0,VAR_1] :
      ( q(fz(VAR_1))
      | q(VAR_1)
      | q(cw)
      | p(cx)
      | ~ p(VAR_0) ),
    file('theBenchmark.p',clause_15) ).

cnf(c_15,plain,
    ( q(fz(B))
    | q(B)
    | q(cw)
    | p(cx)
    | ~ p(A) ),
    inference(clausify,[status(thm)],[clause_15]) ).

fof(clause_16,axiom,
    ! [VAR_0,VAR_1] :
      ( p(cx)
      | ~ q(fz5(VAR_1))
      | ~ q(VAR_1)
      | ~ q(cw)
      | ~ p(VAR_0) ),
    file('theBenchmark.p',clause_16) ).

cnf(c_16,plain,
    ( p(cx)
    | ~ q(fz5(B))
    | ~ q(B)
    | ~ q(cw)
    | ~ p(A) ),
    inference(clausify,[status(thm)],[clause_16]) ).

fof(clause_19,axiom,
    ! [VAR_0,VAR_1] :
      ( q(VAR_1)
      | p(fy(VAR_0))
      | p(VAR_0)
      | p(cx)
      | ~ q(cw) ),
    file('theBenchmark.p',clause_19) ).

cnf(c_19,plain,
    ( q(B)
    | p(fy(A))
    | p(A)
    | p(cx)
    | ~ q(cw) ),
    inference(clausify,[status(thm)],[clause_19]) ).

fof(clause_20,axiom,
    ! [VAR_0,VAR_1] :
      ( q(cw)
      | p(fy(VAR_1))
      | p(VAR_1)
      | p(cx)
      | ~ q(VAR_0) ),
    file('theBenchmark.p',clause_20) ).

cnf(c_20,plain,
    ( q(cw)
    | p(fy(B))
    | p(B)
    | p(cx)
    | ~ q(A) ),
    inference(clausify,[status(thm)],[clause_20]) ).

fof(clause_22,axiom,
    ! [VAR_0,VAR_1] :
      ( q(fz(VAR_1))
      | q(VAR_1)
      | q(cw)
      | ~ p(fy(VAR_0))
      | ~ p(VAR_0)
      | ~ p(cx) ),
    file('theBenchmark.p',clause_22) ).

cnf(c_22,plain,
    ( q(fz(B))
    | q(B)
    | q(cw)
    | ~ p(fy(A))
    | ~ p(A)
    | ~ p(cx) ),
    inference(clausify,[status(thm)],[clause_22]) ).

fof(clause_23,axiom,
    ! [VAR_0,VAR_1] :
      ( ~ q(fz5(VAR_1))
      | ~ q(VAR_1)
      | ~ q(cw)
      | ~ p(fy5(VAR_0))
      | ~ p(VAR_0)
      | ~ p(cx) ),
    file('theBenchmark.p',clause_23) ).

cnf(c_23,plain,
    ( ~ q(fz5(B))
    | ~ q(B)
    | ~ q(cw)
    | ~ p(fy5(A))
    | ~ p(A)
    | ~ p(cx) ),
    inference(clausify,[status(thm)],[clause_23]) ).

fof(clause_30,axiom,
    ! [VAR_0,VAR_1] :
      ( p(fy(VAR_1))
      | p(VAR_1)
      | p(cx)
      | ~ q(fz(VAR_0))
      | ~ q(VAR_0)
      | ~ q(cw) ),
    file('theBenchmark.p',clause_30) ).

cnf(c_30,plain,
    ( p(fy(B))
    | p(B)
    | p(cx)
    | ~ q(fz(A))
    | ~ q(A)
    | ~ q(cw) ),
    inference(clausify,[status(thm)],[clause_30]) ).

fof(clause_32,axiom,
    ! [VAR_0,VAR_1] :
      ( q(fz5(VAR_1))
      | q(VAR_1)
      | q(cw)
      | p(fy5(VAR_0))
      | p(VAR_0)
      | p(cx) ),
    file('theBenchmark.p',clause_32) ).

cnf(c_32,plain,
    ( q(fz5(B))
    | q(B)
    | q(cw)
    | p(fy5(A))
    | p(A)
    | p(cx) ),
    inference(clausify,[status(thm)],[clause_32]) ).

cnf(c_35,plain,
    ( p(A)
    | ~ q(fz5(cw))
    | ~ q(cw)
    | ~ p(cx) ),
    inference(factor,[status(thm)],[c_7]) ).

cnf(c_36,plain,
    ( q(fz(cw))
    | q(cw)
    | p(A)
    | ~ p(cx) ),
    inference(factor,[status(thm)],[c_10]) ).

cnf(c_38,plain,
    ( q(fz(cw))
    | q(cw)
    | p(cx)
    | ~ p(A) ),
    inference(factor,[status(thm)],[c_15]) ).

cnf(c_39,plain,
    ( p(cx)
    | ~ q(fz5(cw))
    | ~ q(cw)
    | ~ p(A) ),
    inference(factor,[status(thm)],[c_16]) ).

cnf(c_40,plain,
    ( q(A)
    | p(fy(cx))
    | p(cx)
    | ~ q(cw) ),
    inference(factor,[status(thm)],[c_19]) ).

cnf(c_41,plain,
    ( q(cw)
    | p(fy(cx))
    | p(cx)
    | ~ q(A) ),
    inference(factor,[status(thm)],[c_20]) ).

cnf(c_44,plain,
    ( q(fz(cw))
    | q(cw)
    | ~ p(fy(A))
    | ~ p(A)
    | ~ p(cx) ),
    inference(factor,[status(thm)],[c_22]) ).

cnf(c_46,plain,
    ( ~ q(fz5(cw))
    | ~ q(cw)
    | ~ p(fy5(A))
    | ~ p(A)
    | ~ p(cx) ),
    inference(factor,[status(thm)],[c_23]) ).

cnf(c_49,plain,
    ( p(fy(A))
    | p(A)
    | p(cx)
    | ~ q(fz(cw))
    | ~ q(cw) ),
    inference(factor,[status(thm)],[c_30]) ).

cnf(c_56,plain,
    ( p(fy(cx))
    | p(cx)
    | ~ q(fz(cw))
    | ~ q(cw) ),
    inference(factor,[status(thm)],[c_49]) ).

cnf(c_302,plain,
    ( q(cw)
    | p(fy(C))
    | p(C)
    | p(cx)
    | q(B)
    | q(cw)
    | p(fy5(A))
    | p(A)
    | p(cx) ),
    inference(resolve,[status(thm)],[c_32,c_20]) ).

cnf(c_303,plain,
    ( q(cw)
    | p(fy(C))
    | p(C)
    | q(B)
    | q(cw)
    | p(fy5(A))
    | p(A)
    | p(cx) ),
    inference(copy,[status(thm)],[c_302]) ).

cnf(c_59,plain,
    ( p(fy(C))
    | p(C)
    | q(B)
    | q(cw)
    | p(fy5(A))
    | p(A)
    | p(cx) ),
    inference(copy,[status(thm)],[c_303]) ).

cnf(c_70,plain,
    ( p(fy(B))
    | p(B)
    | q(cw)
    | p(fy5(A))
    | p(A)
    | p(cx) ),
    inference(factor,[status(thm)],[c_59]) ).

cnf(c_304,plain,
    ( q(C)
    | p(fy(cx))
    | p(cx)
    | p(fy(B))
    | p(B)
    | p(fy5(A))
    | p(A)
    | p(cx) ),
    inference(resolve,[status(thm)],[c_70,c_40]) ).

cnf(c_94,plain,
    ( q(C)
    | p(fy(cx))
    | p(fy(B))
    | p(B)
    | p(fy5(A))
    | p(A)
    | p(cx) ),
    inference(copy,[status(thm)],[c_304]) ).

cnf(c_118,plain,
    ( q(B)
    | p(fy(cx))
    | p(fy(A))
    | p(A)
    | p(fy5(cx))
    | p(cx) ),
    inference(factor,[status(thm)],[c_94]) ).

cnf(c_305,plain,
    ( q(A)
    | p(fy(cx))
    | p(fy(cx))
    | p(fy5(cx))
    | p(cx) ),
    inference(factor,[status(thm)],[c_118]) ).

cnf(c_161,plain,
    ( q(A)
    | p(fy(cx))
    | p(fy5(cx))
    | p(cx) ),
    inference(copy,[status(thm)],[c_305]) ).

cnf(c_306,plain,
    ( p(fy(cx))
    | p(cx)
    | ~ q(cw)
    | p(fy(cx))
    | p(fy5(cx))
    | p(cx) ),
    inference(resolve,[status(thm)],[c_161,c_56]) ).

cnf(c_307,plain,
    ( p(fy(cx))
    | ~ q(cw)
    | p(fy(cx))
    | p(fy5(cx))
    | p(cx) ),
    inference(copy,[status(thm)],[c_306]) ).

cnf(c_183,plain,
    ( ~ q(cw)
    | p(fy(cx))
    | p(fy5(cx))
    | p(cx) ),
    inference(copy,[status(thm)],[c_307]) ).

cnf(c_308,plain,
    ( p(fy(cx))
    | p(fy5(cx))
    | p(cx)
    | p(fy(cx))
    | p(fy5(cx))
    | p(cx) ),
    inference(resolve,[status(thm)],[c_183,c_161]) ).

cnf(c_309,plain,
    ( p(fy(cx))
    | p(fy5(cx))
    | p(fy(cx))
    | p(fy5(cx))
    | p(cx) ),
    inference(copy,[status(thm)],[c_308]) ).

cnf(c_310,plain,
    ( p(fy(cx))
    | p(fy(cx))
    | p(fy5(cx))
    | p(cx) ),
    inference(copy,[status(thm)],[c_309]) ).

cnf(c_184,plain,
    ( p(fy(cx))
    | p(fy5(cx))
    | p(cx) ),
    inference(copy,[status(thm)],[c_310]) ).

cnf(c_311,plain,
    ( q(fz(cw))
    | q(cw)
    | p(cx)
    | p(fy(cx))
    | p(cx) ),
    inference(resolve,[status(thm)],[c_184,c_38]) ).

cnf(c_187,plain,
    ( q(fz(cw))
    | q(cw)
    | p(fy(cx))
    | p(cx) ),
    inference(copy,[status(thm)],[c_311]) ).

cnf(c_312,plain,
    ( q(cw)
    | p(fy(cx))
    | p(cx)
    | q(cw)
    | p(fy(cx))
    | p(cx) ),
    inference(resolve,[status(thm)],[c_187,c_41]) ).

cnf(c_313,plain,
    ( q(cw)
    | p(fy(cx))
    | q(cw)
    | p(fy(cx))
    | p(cx) ),
    inference(copy,[status(thm)],[c_312]) ).

cnf(c_314,plain,
    ( q(cw)
    | q(cw)
    | p(fy(cx))
    | p(cx) ),
    inference(copy,[status(thm)],[c_313]) ).

cnf(c_197,plain,
    ( q(cw)
    | p(fy(cx))
    | p(cx) ),
    inference(copy,[status(thm)],[c_314]) ).

cnf(c_315,plain,
    ( q(A)
    | p(fy(cx))
    | p(cx)
    | p(fy(cx))
    | p(cx) ),
    inference(resolve,[status(thm)],[c_197,c_40]) ).

cnf(c_316,plain,
    ( q(A)
    | p(fy(cx))
    | p(fy(cx))
    | p(cx) ),
    inference(copy,[status(thm)],[c_315]) ).

cnf(c_201,plain,
    ( q(A)
    | p(fy(cx))
    | p(cx) ),
    inference(copy,[status(thm)],[c_316]) ).

cnf(c_317,plain,
    ( p(fy(A))
    | p(A)
    | p(cx)
    | ~ q(cw)
    | p(fy(cx))
    | p(cx) ),
    inference(resolve,[status(thm)],[c_201,c_49]) ).

cnf(c_203,plain,
    ( p(fy(A))
    | p(A)
    | ~ q(cw)
    | p(fy(cx))
    | p(cx) ),
    inference(copy,[status(thm)],[c_317]) ).

cnf(c_318,plain,
    ( p(fy(cx))
    | ~ q(cw)
    | p(fy(cx))
    | p(cx) ),
    inference(factor,[status(thm)],[c_203]) ).

cnf(c_206,plain,
    ( ~ q(cw)
    | p(fy(cx))
    | p(cx) ),
    inference(copy,[status(thm)],[c_318]) ).

cnf(c_319,plain,
    ( p(fy(cx))
    | p(cx)
    | p(fy(cx))
    | p(cx) ),
    inference(resolve,[status(thm)],[c_206,c_201]) ).

cnf(c_320,plain,
    ( p(fy(cx))
    | p(fy(cx))
    | p(cx) ),
    inference(copy,[status(thm)],[c_319]) ).

cnf(c_207,plain,
    ( p(fy(cx))
    | p(cx) ),
    inference(copy,[status(thm)],[c_320]) ).

cnf(c_321,plain,
    ( p(cx)
    | ~ q(fz5(cw))
    | ~ q(cw)
    | p(cx) ),
    inference(resolve,[status(thm)],[c_207,c_39]) ).

cnf(c_212,plain,
    ( ~ q(fz5(cw))
    | ~ q(cw)
    | p(cx) ),
    inference(copy,[status(thm)],[c_321]) ).

cnf(c_322,plain,
    ( q(fz(cw))
    | q(cw)
    | p(cx)
    | p(cx) ),
    inference(resolve,[status(thm)],[c_207,c_38]) ).

cnf(c_213,plain,
    ( q(fz(cw))
    | q(cw)
    | p(cx) ),
    inference(copy,[status(thm)],[c_322]) ).

cnf(c_323,plain,
    ( q(cw)
    | p(cx)
    | ~ q(A)
    | p(cx) ),
    inference(resolve,[status(thm)],[c_207,c_4]) ).

cnf(c_224,plain,
    ( q(cw)
    | ~ q(A)
    | p(cx) ),
    inference(copy,[status(thm)],[c_323]) ).

cnf(c_324,plain,
    ( q(A)
    | p(cx)
    | ~ q(cw)
    | p(cx) ),
    inference(resolve,[status(thm)],[c_207,c_3]) ).

cnf(c_225,plain,
    ( q(A)
    | ~ q(cw)
    | p(cx) ),
    inference(copy,[status(thm)],[c_324]) ).

cnf(c_325,plain,
    ( q(cw)
    | p(cx)
    | q(cw)
    | p(cx) ),
    inference(resolve,[status(thm)],[c_213,c_224]) ).

cnf(c_326,plain,
    ( q(cw)
    | q(cw)
    | p(cx) ),
    inference(copy,[status(thm)],[c_325]) ).

cnf(c_243,plain,
    ( q(cw)
    | p(cx) ),
    inference(copy,[status(thm)],[c_326]) ).

cnf(c_327,plain,
    ( q(A)
    | p(cx)
    | p(cx) ),
    inference(resolve,[status(thm)],[c_243,c_225]) ).

cnf(c_244,plain,
    ( q(A)
    | p(cx) ),
    inference(copy,[status(thm)],[c_327]) ).

cnf(c_328,plain,
    ( ~ q(fz5(cw))
    | p(cx)
    | p(cx) ),
    inference(resolve,[status(thm)],[c_243,c_212]) ).

cnf(c_245,plain,
    ( ~ q(fz5(cw))
    | p(cx) ),
    inference(copy,[status(thm)],[c_328]) ).

cnf(c_329,plain,
    ( p(cx)
    | p(cx) ),
    inference(resolve,[status(thm)],[c_245,c_244]) ).

cnf(c_250,plain,
    p(cx),
    inference(copy,[status(thm)],[c_329]) ).

cnf(c_253,plain,
    ( ~ q(fz5(cw))
    | ~ q(cw)
    | ~ p(fy5(A))
    | ~ p(A) ),
    inference(resolve,[status(thm)],[c_250,c_46]) ).

cnf(c_255,plain,
    ( q(fz(cw))
    | q(cw)
    | ~ p(fy(A))
    | ~ p(A) ),
    inference(resolve,[status(thm)],[c_250,c_44]) ).

cnf(c_258,plain,
    ( q(fz(cw))
    | q(cw)
    | p(A) ),
    inference(resolve,[status(thm)],[c_250,c_36]) ).

cnf(c_259,plain,
    ( p(A)
    | ~ q(fz5(cw))
    | ~ q(cw) ),
    inference(resolve,[status(thm)],[c_250,c_35]) ).

cnf(c_269,plain,
    ( q(cw)
    | ~ q(B)
    | ~ p(fy5(A))
    | ~ p(A) ),
    inference(resolve,[status(thm)],[c_250,c_6]) ).

cnf(c_270,plain,
    ( q(B)
    | ~ q(cw)
    | ~ p(fy5(A))
    | ~ p(A) ),
    inference(resolve,[status(thm)],[c_250,c_5]) ).

cnf(c_271,plain,
    ( q(cw)
    | p(B)
    | ~ q(A) ),
    inference(resolve,[status(thm)],[c_250,c_2]) ).

cnf(c_272,plain,
    ( q(B)
    | p(A)
    | ~ q(cw) ),
    inference(resolve,[status(thm)],[c_250,c_1]) ).

cnf(c_330,plain,
    ( q(cw)
    | p(B)
    | q(cw)
    | p(A) ),
    inference(resolve,[status(thm)],[c_258,c_271]) ).

cnf(c_273,plain,
    ( p(B)
    | q(cw)
    | p(A) ),
    inference(copy,[status(thm)],[c_330]) ).

cnf(c_274,plain,
    ( q(cw)
    | p(A) ),
    inference(factor,[status(thm)],[c_273]) ).

cnf(c_275,plain,
    ( q(C)
    | p(B)
    | p(A) ),
    inference(resolve,[status(thm)],[c_274,c_272]) ).

cnf(c_280,plain,
    ( q(B)
    | p(A) ),
    inference(factor,[status(thm)],[c_275]) ).

cnf(c_286,plain,
    ( p(B)
    | p(A)
    | ~ q(cw) ),
    inference(resolve,[status(thm)],[c_259,c_280]) ).

cnf(c_288,plain,
    ( p(A)
    | ~ q(cw) ),
    inference(factor,[status(thm)],[c_286]) ).

cnf(c_289,plain,
    ( p(B)
    | p(A) ),
    inference(resolve,[status(thm)],[c_288,c_280]) ).

cnf(c_290,plain,
    p(A),
    inference(factor,[status(thm)],[c_289]) ).

cnf(c_331,plain,
    ( q(B)
    | ~ q(cw)
    | ~ p(fy5(A)) ),
    inference(resolve,[status(thm)],[c_290,c_270]) ).

cnf(c_291,plain,
    ( q(A)
    | ~ q(cw) ),
    inference(resolve,[status(thm)],[c_290,c_331]) ).

cnf(c_332,plain,
    ( q(cw)
    | ~ q(B)
    | ~ p(fy5(A)) ),
    inference(resolve,[status(thm)],[c_290,c_269]) ).

cnf(c_292,plain,
    ( q(cw)
    | ~ q(A) ),
    inference(resolve,[status(thm)],[c_290,c_332]) ).

cnf(c_333,plain,
    ( q(fz(cw))
    | q(cw)
    | ~ p(fy(A)) ),
    inference(resolve,[status(thm)],[c_290,c_255]) ).

cnf(c_295,plain,
    ( q(fz(cw))
    | q(cw) ),
    inference(resolve,[status(thm)],[c_290,c_333]) ).

cnf(c_334,plain,
    ( ~ q(fz5(cw))
    | ~ q(cw)
    | ~ p(fy5(A)) ),
    inference(resolve,[status(thm)],[c_290,c_253]) ).

cnf(c_296,plain,
    ( ~ q(fz5(cw))
    | ~ q(cw) ),
    inference(resolve,[status(thm)],[c_290,c_334]) ).

cnf(c_335,plain,
    ( q(cw)
    | q(cw) ),
    inference(resolve,[status(thm)],[c_295,c_292]) ).

cnf(c_297,plain,
    q(cw),
    inference(copy,[status(thm)],[c_335]) ).

cnf(c_298,plain,
    ~ q(fz5(cw)),
    inference(resolve,[status(thm)],[c_297,c_296]) ).

cnf(c_300,plain,
    q(A),
    inference(resolve,[status(thm)],[c_297,c_291]) ).

cnf(c_301,plain,
    $false,
    inference(resolve,[status(thm)],[c_300,c_298]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN036-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04  % Command  : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35  % Computer : n002.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Sat Sep 26 17:07:22 UTC 2026
% 0.09/0.35  % CPUTime  : 
% 0.09/0.35  % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.35  % Process 2267146 was started by sandbox on n002,
% 0.09/0.35  % Sat Sep 26 17:07:22 2026
% 0.09/0.35  % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.13/0.35  
% 0.13/0.35  % From the command line: assign(max_seconds, 300).
% 0.13/0.39  
% 0.13/0.39  % SZS status Unsatisfiable for theBenchmark
% 0.13/0.39  
% 0.13/0.39  % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.13/0.39  % Length of proof is 71.
% 0.13/0.39  % Level of proof is 30.
% 0.13/0.39  % Maximum clause weight is 27.000.
% 0.13/0.39  % Given clauses 103.
% 0.13/0.39  
% 0.13/0.39  % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------