TSTP Solution File: PUZ037-1 by Leo-III-SAT---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III-SAT---1.7.12
% Problem  : PUZ037-1 : TPTP v8.2.0. Released v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May 21 02:27:16 EDT 2024

% Result   : Unsatisfiable 6.59s 2.48s
% Output   : Refutation 6.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   23 (  10 unt;   7 typ;   0 def)
%            Number of atoms       :   28 (   3 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives : 1257 (   9   ~;   6   |;   0   &;1242   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  111 (  69 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   54 (  54   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   7 con; 0-54 aty)
%            Number of variables   :  324 (   0   ^ 324   !;   0   ?; 324   :)

% Comments : 
%------------------------------------------------------------------------------
thf(state_type,type,
    state: $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $i > $o ).

thf(b_type,type,
    b: $i ).

thf(r_type,type,
    r: $i ).

thf(g_type,type,
    g: $i ).

thf(o_type,type,
    o: $i ).

thf(y_type,type,
    y: $i ).

thf(w_type,type,
    w: $i ).

thf(16,axiom,
    state @ b @ b @ b @ b @ b @ b @ b @ b @ b @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ g @ g @ g @ o @ o @ o @ y @ y @ y @ r @ r @ r @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ w @ w @ w @ w @ w @ w @ w @ w @ w,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',start_with_this) ).

thf(51,plain,
    state @ b @ b @ b @ b @ b @ b @ b @ b @ b @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ g @ g @ g @ o @ o @ o @ y @ y @ y @ r @ r @ r @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ w @ w @ w @ w @ w @ w @ w @ w @ w,
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(2,axiom,
    ! [ZZB: $i,ZZA: $i,ZZ: $i,ZY: $i,ZX: $i,ZW: $i,ZV: $i,ZU: $i,ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,ZL: $i,ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( state @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ ZH @ ZI @ ZJ @ ZK @ ZL @ ZM @ ZN @ ZO @ ZP @ ZQ @ ZR @ ZS @ ZT @ ZU @ ZV @ ZW @ ZX @ ZY @ ZZ @ ZZA @ ZZB )
      | ( state @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ V @ W @ X @ ZH @ ZI @ ZJ @ ZK @ ZL @ ZM @ ZN @ ZO @ ZP @ ZQ @ ZR @ ZS @ ZT @ ZU @ ZV @ ZW @ ZX @ ZY @ ZZ @ ZZA @ ZZB ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mxy) ).

thf(23,plain,
    ! [ZZB: $i,ZZA: $i,ZZ: $i,ZY: $i,ZX: $i,ZW: $i,ZV: $i,ZU: $i,ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,ZL: $i,ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( state @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ ZH @ ZI @ ZJ @ ZK @ ZL @ ZM @ ZN @ ZO @ ZP @ ZQ @ ZR @ ZS @ ZT @ ZU @ ZV @ ZW @ ZX @ ZY @ ZZ @ ZZA @ ZZB )
      | ( state @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ V @ W @ X @ ZH @ ZI @ ZJ @ ZK @ ZL @ ZM @ ZN @ ZO @ ZP @ ZQ @ ZR @ ZS @ ZT @ ZU @ ZV @ ZW @ ZX @ ZY @ ZZ @ ZZA @ ZZB ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(24,plain,
    ! [ZZB: $i,ZZA: $i,ZZ: $i,ZY: $i,ZX: $i,ZW: $i,ZV: $i,ZU: $i,ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,ZL: $i,ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( state @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ ZH @ ZI @ ZJ @ ZK @ ZL @ ZM @ ZN @ ZO @ ZP @ ZQ @ ZR @ ZS @ ZT @ ZU @ ZV @ ZW @ ZX @ ZY @ ZZ @ ZZA @ ZZB )
      | ( state @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ V @ W @ X @ ZH @ ZI @ ZJ @ ZK @ ZL @ ZM @ ZN @ ZO @ ZP @ ZQ @ ZR @ ZS @ ZT @ ZU @ ZV @ ZW @ ZX @ ZY @ ZZ @ ZZA @ ZZB ) ),
    inference(cnf,[status(esa)],[23]) ).

thf(63,plain,
    ! [ZZB: $i,ZZA: $i,ZZ: $i,ZY: $i,ZX: $i,ZW: $i,ZV: $i,ZU: $i,ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,ZL: $i,ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( state @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ V @ W @ X @ ZH @ ZI @ ZJ @ ZK @ ZL @ ZM @ ZN @ ZO @ ZP @ ZQ @ ZR @ ZS @ ZT @ ZU @ ZV @ ZW @ ZX @ ZY @ ZZ @ ZZA @ ZZB )
      | ( ( state @ b @ b @ b @ b @ b @ b @ b @ b @ b @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ g @ g @ g @ o @ o @ o @ y @ y @ y @ r @ r @ r @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ w @ w @ w @ w @ w @ w @ w @ w @ w )
       != ( state @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ ZH @ ZI @ ZJ @ ZK @ ZL @ ZM @ ZN @ ZO @ ZP @ ZQ @ ZR @ ZS @ ZT @ ZU @ ZV @ ZW @ ZX @ ZY @ ZZ @ ZZA @ ZZB ) ) ),
    inference(paramod_ordered,[status(thm)],[51,24]) ).

thf(64,plain,
    state @ b @ b @ b @ b @ b @ b @ b @ b @ b @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ o @ o @ o @ y @ y @ y @ r @ r @ r @ g @ g @ g @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ w @ w @ w @ w @ w @ w @ w @ w @ w,
    inference(pattern_uni,[status(thm)],[63:[bind(A,$thf( b )),bind(B,$thf( b )),bind(C,$thf( b )),bind(D,$thf( b )),bind(E,$thf( b )),bind(F,$thf( b )),bind(G,$thf( b )),bind(H,$thf( b )),bind(I,$thf( b )),bind(J,$thf( r )),bind(K,$thf( r )),bind(L,$thf( r )),bind(M,$thf( g )),bind(N,$thf( g )),bind(O,$thf( g )),bind(P,$thf( o )),bind(Q,$thf( o )),bind(R,$thf( o )),bind(S,$thf( y )),bind(T,$thf( y )),bind(U,$thf( y )),bind(V,$thf( g )),bind(W,$thf( g )),bind(X,$thf( g )),bind(Y,$thf( o )),bind(Z,$thf( o )),bind(ZA,$thf( o )),bind(ZB,$thf( y )),bind(ZC,$thf( y )),bind(ZD,$thf( y )),bind(ZE,$thf( r )),bind(ZF,$thf( r )),bind(ZG,$thf( r )),bind(ZH,$thf( r )),bind(ZI,$thf( r )),bind(ZJ,$thf( r )),bind(ZK,$thf( g )),bind(ZL,$thf( g )),bind(ZM,$thf( g )),bind(ZN,$thf( o )),bind(ZO,$thf( o )),bind(ZP,$thf( o )),bind(ZQ,$thf( y )),bind(ZR,$thf( y )),bind(ZS,$thf( y )),bind(ZT,$thf( w )),bind(ZU,$thf( w )),bind(ZV,$thf( w )),bind(ZW,$thf( w )),bind(ZX,$thf( w )),bind(ZY,$thf( w )),bind(ZZ,$thf( w )),bind(ZZA,$thf( w )),bind(ZZB,$thf( w ))]]) ).

thf(69,plain,
    ! [ZZB: $i,ZZA: $i,ZZ: $i,ZY: $i,ZX: $i,ZW: $i,ZV: $i,ZU: $i,ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,ZL: $i,ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( state @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ V @ W @ X @ ZH @ ZI @ ZJ @ ZK @ ZL @ ZM @ ZN @ ZO @ ZP @ ZQ @ ZR @ ZS @ ZT @ ZU @ ZV @ ZW @ ZX @ ZY @ ZZ @ ZZA @ ZZB )
      | ( ( state @ b @ b @ b @ b @ b @ b @ b @ b @ b @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ o @ o @ o @ y @ y @ y @ r @ r @ r @ g @ g @ g @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ w @ w @ w @ w @ w @ w @ w @ w @ w )
       != ( state @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ ZH @ ZI @ ZJ @ ZK @ ZL @ ZM @ ZN @ ZO @ ZP @ ZQ @ ZR @ ZS @ ZT @ ZU @ ZV @ ZW @ ZX @ ZY @ ZZ @ ZZA @ ZZB ) ) ),
    inference(paramod_ordered,[status(thm)],[64,24]) ).

thf(70,plain,
    state @ b @ b @ b @ b @ b @ b @ b @ b @ b @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ y @ y @ y @ r @ r @ r @ g @ g @ g @ o @ o @ o @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ w @ w @ w @ w @ w @ w @ w @ w @ w,
    inference(pattern_uni,[status(thm)],[69:[bind(A,$thf( b )),bind(B,$thf( b )),bind(C,$thf( b )),bind(D,$thf( b )),bind(E,$thf( b )),bind(F,$thf( b )),bind(G,$thf( b )),bind(H,$thf( b )),bind(I,$thf( b )),bind(J,$thf( r )),bind(K,$thf( r )),bind(L,$thf( r )),bind(M,$thf( g )),bind(N,$thf( g )),bind(O,$thf( g )),bind(P,$thf( o )),bind(Q,$thf( o )),bind(R,$thf( o )),bind(S,$thf( y )),bind(T,$thf( y )),bind(U,$thf( y )),bind(V,$thf( o )),bind(W,$thf( o )),bind(X,$thf( o )),bind(Y,$thf( y )),bind(Z,$thf( y )),bind(ZA,$thf( y )),bind(ZB,$thf( r )),bind(ZC,$thf( r )),bind(ZD,$thf( r )),bind(ZE,$thf( g )),bind(ZF,$thf( g )),bind(ZG,$thf( g )),bind(ZH,$thf( r )),bind(ZI,$thf( r )),bind(ZJ,$thf( r )),bind(ZK,$thf( g )),bind(ZL,$thf( g )),bind(ZM,$thf( g )),bind(ZN,$thf( o )),bind(ZO,$thf( o )),bind(ZP,$thf( o )),bind(ZQ,$thf( y )),bind(ZR,$thf( y )),bind(ZS,$thf( y )),bind(ZT,$thf( w )),bind(ZU,$thf( w )),bind(ZV,$thf( w )),bind(ZW,$thf( w )),bind(ZX,$thf( w )),bind(ZY,$thf( w )),bind(ZZ,$thf( w )),bind(ZZA,$thf( w )),bind(ZZB,$thf( w ))]]) ).

thf(73,plain,
    ! [ZZB: $i,ZZA: $i,ZZ: $i,ZY: $i,ZX: $i,ZW: $i,ZV: $i,ZU: $i,ZT: $i,ZS: $i,ZR: $i,ZQ: $i,ZP: $i,ZO: $i,ZN: $i,ZM: $i,ZL: $i,ZK: $i,ZJ: $i,ZI: $i,ZH: $i,ZG: $i,ZF: $i,ZE: $i,ZD: $i,ZC: $i,ZB: $i,ZA: $i,Z: $i,Y: $i,X: $i,W: $i,V: $i,U: $i,T: $i,S: $i,R: $i,Q: $i,P: $i,O: $i,N: $i,M: $i,L: $i,K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ( state @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ V @ W @ X @ ZH @ ZI @ ZJ @ ZK @ ZL @ ZM @ ZN @ ZO @ ZP @ ZQ @ ZR @ ZS @ ZT @ ZU @ ZV @ ZW @ ZX @ ZY @ ZZ @ ZZA @ ZZB )
      | ( ( state @ b @ b @ b @ b @ b @ b @ b @ b @ b @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ y @ y @ y @ r @ r @ r @ g @ g @ g @ o @ o @ o @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ w @ w @ w @ w @ w @ w @ w @ w @ w )
       != ( state @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ ZH @ ZI @ ZJ @ ZK @ ZL @ ZM @ ZN @ ZO @ ZP @ ZQ @ ZR @ ZS @ ZT @ ZU @ ZV @ ZW @ ZX @ ZY @ ZZ @ ZZA @ ZZB ) ) ),
    inference(paramod_ordered,[status(thm)],[70,24]) ).

thf(74,plain,
    state @ b @ b @ b @ b @ b @ b @ b @ b @ b @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ w @ w @ w @ w @ w @ w @ w @ w @ w,
    inference(pattern_uni,[status(thm)],[73:[bind(A,$thf( b )),bind(B,$thf( b )),bind(C,$thf( b )),bind(D,$thf( b )),bind(E,$thf( b )),bind(F,$thf( b )),bind(G,$thf( b )),bind(H,$thf( b )),bind(I,$thf( b )),bind(J,$thf( r )),bind(K,$thf( r )),bind(L,$thf( r )),bind(M,$thf( g )),bind(N,$thf( g )),bind(O,$thf( g )),bind(P,$thf( o )),bind(Q,$thf( o )),bind(R,$thf( o )),bind(S,$thf( y )),bind(T,$thf( y )),bind(U,$thf( y )),bind(V,$thf( y )),bind(W,$thf( y )),bind(X,$thf( y )),bind(Y,$thf( r )),bind(Z,$thf( r )),bind(ZA,$thf( r )),bind(ZB,$thf( g )),bind(ZC,$thf( g )),bind(ZD,$thf( g )),bind(ZE,$thf( o )),bind(ZF,$thf( o )),bind(ZG,$thf( o )),bind(ZH,$thf( r )),bind(ZI,$thf( r )),bind(ZJ,$thf( r )),bind(ZK,$thf( g )),bind(ZL,$thf( g )),bind(ZM,$thf( g )),bind(ZN,$thf( o )),bind(ZO,$thf( o )),bind(ZP,$thf( o )),bind(ZQ,$thf( y )),bind(ZR,$thf( y )),bind(ZS,$thf( y )),bind(ZT,$thf( w )),bind(ZU,$thf( w )),bind(ZV,$thf( w )),bind(ZW,$thf( w )),bind(ZX,$thf( w )),bind(ZY,$thf( w )),bind(ZZ,$thf( w )),bind(ZZA,$thf( w )),bind(ZZB,$thf( w ))]]) ).

thf(1,negated_conjecture,
    ~ ( state @ b @ b @ b @ b @ b @ b @ b @ b @ b @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ w @ w @ w @ w @ w @ w @ w @ w @ w ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',make_like_this) ).

thf(21,plain,
    ~ ( state @ b @ b @ b @ b @ b @ b @ b @ b @ b @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ w @ w @ w @ w @ w @ w @ w @ w @ w ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(22,plain,
    ~ ( state @ b @ b @ b @ b @ b @ b @ b @ b @ b @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ r @ r @ r @ g @ g @ g @ o @ o @ o @ y @ y @ y @ w @ w @ w @ w @ w @ w @ w @ w @ w ),
    inference(polarity_switch,[status(thm)],[21]) ).

thf(78,plain,
    $false,
    inference(rewrite,[status(thm)],[74,22]) ).

thf(79,plain,
    $false,
    inference(simp,[status(thm)],[78]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14  % Problem  : PUZ037-1 : TPTP v8.2.0. Released v2.3.0.
% 0.14/0.17  % Command  : run_Leo-III %s %d
% 0.17/0.39  % Computer : n015.cluster.edu
% 0.17/0.39  % Model    : x86_64 x86_64
% 0.17/0.39  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39  % Memory   : 8042.1875MB
% 0.17/0.39  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39  % CPULimit : 300
% 0.17/0.39  % WCLimit  : 300
% 0.17/0.39  % DateTime : Sat May 18 10:20:24 EDT 2024
% 0.17/0.39  % CPUTime  : 
% 0.97/0.92  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.33/1.07  % [INFO] 	 Parsing done (146ms). 
% 1.33/1.07  % [INFO] 	 Running in sequential loop mode. 
% 1.88/1.30  % [INFO] 	 nitpick registered as external prover. 
% 1.88/1.31  % [INFO] 	 Scanning for conjecture ... 
% 2.20/1.38  % [INFO] 	 Found a conjecture (or negated_conjecture) and 19 axioms. Running axiom selection ... 
% 2.20/1.41  % [INFO] 	 Axiom selection finished. Selected 19 axioms (removed 0 axioms). 
% 2.52/1.48  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.67/1.49  % [INFO] 	 Type checking passed. 
% 2.67/1.49  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 6.59/2.47  % [INFO] 	 Killing All external provers ... 
% 6.59/2.48  % Time passed: 1909ms (effective reasoning time: 1395ms)
% 6.59/2.48  % Axioms used in derivation (2): start_with_this, mxy
% 6.59/2.48  % No. of inferences in proof: 16
% 6.59/2.48  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1909 ms resp. 1395 ms w/o parsing
% 6.59/2.51  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 6.59/2.51  % [INFO] 	 Killing All external provers ... 
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