TSTP Solution File: PUZ037-2 by Leo-III---1.7.7
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : PUZ037-2 : TPTP v8.1.2. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 19 11:47:31 EDT 2023
% Result : Unsatisfiable 4.81s 2.08s
% Output : Refutation 5.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 27
% Syntax : Number of formulae : 48 ( 5 unt; 7 typ; 0 def)
% Number of atoms : 77 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 4178 ( 38 ~; 36 |; 0 &;4104 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 111 ( 103 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 54 ( 54 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 7 usr; 7 con; 0-54 aty)
% Number of variables : 1944 ( 0 ^;1944 !; 0 ?;1944 :)
% 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(19,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 @ ZQ @ D @ E @ ZE @ G @ H @ S @ J @ K @ L @ M @ N @ C @ R @ ZD @ ZP @ ZZB @ T @ U @ V @ W @ X @ Y @ Z @ F @ Q @ ZC @ ZO @ ZY @ ZF @ ZG @ ZH @ ZI @ ZJ @ ZK @ ZL @ I @ P @ ZB @ ZN @ ZV @ ZR @ ZS @ ZT @ ZU @ O @ ZW @ ZX @ ZA @ ZZ @ ZZA @ ZM ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rxz) ).
thf(56,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 @ ZQ @ D @ E @ ZE @ G @ H @ S @ J @ K @ L @ M @ N @ C @ R @ ZD @ ZP @ ZZB @ T @ U @ V @ W @ X @ Y @ Z @ F @ Q @ ZC @ ZO @ ZY @ ZF @ ZG @ ZH @ ZI @ ZJ @ ZK @ ZL @ I @ P @ ZB @ ZN @ ZV @ ZR @ ZS @ ZT @ ZU @ O @ ZW @ ZX @ ZA @ ZZ @ ZZA @ ZM ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(17,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 @ R @ ZD @ ZP @ D @ E @ F @ G @ H @ I @ C @ K @ L @ M @ N @ O @ P @ Q @ ZZB @ ZQ @ ZE @ S @ B @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZZA @ ZR @ ZF @ T @ A @ ZI @ ZJ @ ZK @ ZL @ ZM @ ZN @ ZO @ ZZ @ ZS @ ZG @ U @ ZT @ ZU @ ZV @ ZW @ ZX @ ZY @ J @ V @ ZH ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bzy) ).
thf(52,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 @ R @ ZD @ ZP @ D @ E @ F @ G @ H @ I @ C @ K @ L @ M @ N @ O @ P @ Q @ ZZB @ ZQ @ ZE @ S @ B @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZZA @ ZR @ ZF @ T @ A @ ZI @ ZJ @ ZK @ ZL @ ZM @ ZN @ ZO @ ZZ @ ZS @ ZG @ U @ ZT @ ZU @ ZV @ ZW @ ZX @ ZY @ J @ V @ ZH ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(18,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 @ O @ D @ E @ ZA @ G @ H @ ZM @ J @ K @ L @ M @ N @ ZV @ ZN @ ZB @ P @ I @ T @ U @ V @ W @ X @ Y @ Z @ ZY @ ZO @ ZC @ Q @ F @ ZF @ ZG @ ZH @ ZI @ ZJ @ ZK @ ZL @ ZZB @ ZP @ ZD @ R @ C @ ZR @ ZS @ ZT @ ZU @ ZQ @ ZW @ ZX @ ZE @ ZZ @ ZZA @ S ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rzx) ).
thf(54,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 @ O @ D @ E @ ZA @ G @ H @ ZM @ J @ K @ L @ M @ N @ ZV @ ZN @ ZB @ P @ I @ T @ U @ V @ W @ X @ Y @ Z @ ZY @ ZO @ ZC @ Q @ F @ ZF @ ZG @ ZH @ ZI @ ZJ @ ZK @ ZL @ ZZB @ ZP @ ZD @ R @ C @ ZR @ ZS @ ZT @ ZU @ ZQ @ ZW @ ZX @ ZE @ ZZ @ ZZA @ S ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(8,axiom,
state @ y @ b @ y @ y @ b @ y @ y @ b @ y @ r @ r @ r @ b @ g @ b @ o @ o @ o @ w @ y @ w @ w @ y @ w @ r @ r @ r @ b @ g @ b @ o @ o @ o @ r @ r @ r @ b @ g @ b @ o @ o @ o @ w @ y @ w @ g @ w @ g @ g @ w @ g @ g @ w @ g,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_with_this) ).
thf(35,plain,
state @ y @ b @ y @ y @ b @ y @ y @ b @ y @ r @ r @ r @ b @ g @ b @ o @ o @ o @ w @ y @ w @ w @ y @ w @ r @ r @ r @ b @ g @ b @ o @ o @ o @ r @ r @ r @ b @ g @ b @ o @ o @ o @ w @ y @ w @ g @ w @ g @ g @ w @ g @ g @ w @ g,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(15,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 @ ZJ @ X @ L @ J @ K @ ZT @ ZK @ Y @ M @ G @ Q @ R @ S @ T @ U @ V @ W @ ZU @ ZL @ Z @ N @ H @ ZC @ ZD @ ZE @ ZF @ ZG @ ZH @ ZI @ ZV @ ZM @ ZA @ O @ I @ ZO @ ZP @ ZQ @ ZR @ ZS @ ZN @ ZB @ P @ ZW @ ZX @ ZY @ ZZ @ ZZA @ ZZB ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fyz) ).
thf(48,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 @ ZJ @ X @ L @ J @ K @ ZT @ ZK @ Y @ M @ G @ Q @ R @ S @ T @ U @ V @ W @ ZU @ ZL @ Z @ N @ H @ ZC @ ZD @ ZE @ ZF @ ZG @ ZH @ ZI @ ZV @ ZM @ ZA @ O @ I @ ZO @ ZP @ ZQ @ ZR @ ZS @ ZN @ ZB @ P @ ZW @ ZX @ ZY @ ZZ @ ZZA @ ZZB ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(20,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 @ ZH @ V @ J @ D @ E @ F @ G @ H @ I @ ZZ @ K @ L @ M @ N @ O @ P @ Q @ A @ U @ ZG @ ZS @ ZZA @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ B @ T @ ZF @ ZR @ ZZB @ ZI @ ZJ @ ZK @ ZL @ ZM @ ZN @ ZO @ C @ S @ ZE @ ZQ @ ZT @ ZU @ ZV @ ZW @ ZX @ ZY @ ZP @ ZD @ R ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',byz) ).
thf(58,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 @ ZH @ V @ J @ D @ E @ F @ G @ H @ I @ ZZ @ K @ L @ M @ N @ O @ P @ Q @ A @ U @ ZG @ ZS @ ZZA @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ B @ T @ ZF @ ZR @ ZZB @ ZI @ ZJ @ ZK @ ZL @ ZM @ ZN @ ZO @ C @ S @ ZE @ ZQ @ ZT @ ZU @ ZV @ ZW @ ZX @ ZY @ ZP @ ZD @ R ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(9,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 @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ ZK @ ZL @ ZM @ ZN @ ZO @ ZP @ ZQ @ ZR @ ZS @ ZH @ ZI @ ZJ @ ZV @ ZY @ ZZB @ ZU @ ZX @ ZZA @ ZT @ ZW @ ZZ ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',bxy) ).
thf(36,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 @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ ZK @ ZL @ ZM @ ZN @ ZO @ ZP @ ZQ @ ZR @ ZS @ ZH @ ZI @ ZJ @ ZV @ ZY @ ZZB @ ZU @ ZX @ ZZA @ ZT @ ZW @ ZZ ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(12,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 @ M @ B @ C @ Y @ E @ F @ ZK @ H @ I @ L @ X @ ZJ @ ZT @ N @ O @ P @ Q @ R @ S @ T @ G @ K @ W @ ZI @ ZW @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ D @ J @ V @ ZH @ ZZ @ ZL @ ZM @ ZN @ ZO @ ZP @ ZQ @ ZR @ A @ ZS @ ZU @ ZV @ ZG @ ZX @ ZY @ U @ ZZA @ ZZB ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lzx) ).
thf(42,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 @ M @ B @ C @ Y @ E @ F @ ZK @ H @ I @ L @ X @ ZJ @ ZT @ N @ O @ P @ Q @ R @ S @ T @ G @ K @ W @ ZI @ ZW @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ D @ J @ V @ ZH @ ZZ @ ZL @ ZM @ ZN @ ZO @ ZP @ ZQ @ ZR @ A @ ZS @ ZU @ ZV @ ZG @ ZX @ ZY @ U @ ZZA @ ZZB ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(3,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 @ G @ D @ A @ H @ E @ B @ I @ F @ C @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ J @ K @ L @ 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 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',txy) ).
thf(25,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 @ G @ D @ A @ H @ E @ B @ I @ F @ C @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ J @ K @ L @ 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(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(14,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 @ C @ F @ I @ B @ E @ H @ A @ D @ G @ S @ T @ U @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ 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 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tyx) ).
thf(46,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 @ C @ F @ I @ B @ E @ H @ A @ D @ G @ S @ T @ U @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ 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(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(5,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 @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ ZQ @ ZR @ ZS @ ZH @ ZI @ ZJ @ ZK @ ZL @ ZM @ ZN @ ZO @ ZP @ ZZ @ ZW @ ZT @ ZZA @ ZX @ ZU @ ZZB @ ZY @ ZV ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',byx) ).
thf(29,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 @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZG @ ZQ @ ZR @ ZS @ ZH @ ZI @ ZJ @ ZK @ ZL @ ZM @ ZN @ ZO @ ZP @ ZZ @ ZW @ ZT @ ZZA @ ZX @ ZU @ ZZB @ ZY @ ZV ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(10,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 @ ZR @ C @ D @ ZF @ F @ G @ T @ I @ J @ K @ L @ M @ B @ O @ P @ Q @ R @ S @ ZZA @ U @ V @ W @ X @ Y @ E @ ZA @ ZB @ ZC @ ZD @ ZE @ ZX @ ZG @ ZH @ ZI @ ZJ @ ZK @ H @ ZM @ ZN @ ZO @ ZP @ ZQ @ ZU @ ZS @ ZT @ N @ ZV @ ZW @ Z @ ZY @ ZZ @ ZL @ ZZB ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mxz) ).
thf(38,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 @ ZR @ C @ D @ ZF @ F @ G @ T @ I @ J @ K @ L @ M @ B @ O @ P @ Q @ R @ S @ ZZA @ U @ V @ W @ X @ Y @ E @ ZA @ ZB @ ZC @ ZD @ ZE @ ZX @ ZG @ ZH @ ZI @ ZJ @ ZK @ H @ ZM @ ZN @ ZO @ ZP @ ZQ @ ZU @ ZS @ ZT @ N @ ZV @ ZW @ Z @ ZY @ ZZ @ ZL @ ZZB ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
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/sandbox/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(7,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 @ P @ ZB @ ZN @ J @ K @ I @ O @ ZA @ ZM @ ZV @ Q @ R @ S @ T @ U @ V @ W @ H @ N @ Z @ ZL @ ZU @ ZC @ ZD @ ZE @ ZF @ ZG @ ZH @ ZI @ G @ M @ Y @ ZK @ ZT @ ZO @ ZP @ ZQ @ ZR @ ZS @ L @ X @ ZJ @ ZW @ ZX @ ZY @ ZZ @ ZZA @ ZZB ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fzy) ).
thf(33,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 @ P @ ZB @ ZN @ J @ K @ I @ O @ ZA @ ZM @ ZV @ Q @ R @ S @ T @ U @ V @ W @ H @ N @ Z @ ZL @ ZU @ ZC @ ZD @ ZE @ ZF @ ZG @ ZH @ ZI @ G @ M @ Y @ ZK @ ZT @ ZO @ ZP @ ZQ @ ZR @ ZS @ L @ X @ ZJ @ ZW @ ZX @ ZY @ ZZ @ ZZA @ ZZB ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(13,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 @ ZE @ ZF @ ZG @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ ZH @ ZI @ ZJ @ ZK @ ZL @ ZM @ ZN @ ZO @ ZP @ ZQ @ ZR @ ZS @ ZT @ ZU @ ZV @ ZW @ ZX @ ZY @ ZZ @ ZZA @ ZZB ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',myx) ).
thf(44,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 @ ZE @ ZF @ ZG @ V @ W @ X @ Y @ Z @ ZA @ ZB @ ZC @ ZD @ 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)],[13]) ).
thf(4,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 @ Q @ ZC @ ZO @ G @ H @ I @ J @ F @ L @ M @ N @ O @ P @ ZY @ R @ S @ T @ U @ V @ E @ X @ Y @ Z @ ZA @ ZB @ ZX @ ZD @ ZE @ ZF @ ZG @ ZH @ D @ ZJ @ ZK @ ZL @ ZM @ ZN @ ZW @ ZP @ ZQ @ ZR @ ZS @ ZT @ ZU @ ZV @ K @ W @ ZI @ ZZ @ ZZA @ ZZB ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mzy) ).
thf(27,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 @ Q @ ZC @ ZO @ G @ H @ I @ J @ F @ L @ M @ N @ O @ P @ ZY @ R @ S @ T @ U @ V @ E @ X @ Y @ Z @ ZA @ ZB @ ZX @ ZD @ ZE @ ZF @ ZG @ ZH @ D @ ZJ @ ZK @ ZL @ ZM @ ZN @ ZW @ ZP @ ZQ @ ZR @ ZS @ ZT @ ZU @ ZV @ K @ W @ ZI @ ZZ @ ZZA @ ZZB ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(16,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 @ ZS @ B @ C @ ZG @ E @ F @ U @ H @ I @ ZH @ V @ J @ A @ N @ O @ P @ Q @ R @ S @ T @ ZZ @ ZI @ W @ K @ D @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZW @ ZJ @ X @ L @ G @ ZL @ ZM @ ZN @ ZO @ ZP @ ZQ @ ZR @ ZT @ M @ ZU @ ZV @ Y @ ZX @ ZY @ ZK @ ZZA @ ZZB ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lxz) ).
thf(50,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 @ ZS @ B @ C @ ZG @ E @ F @ U @ H @ I @ ZH @ V @ J @ A @ N @ O @ P @ Q @ R @ S @ T @ ZZ @ ZI @ W @ K @ D @ Z @ ZA @ ZB @ ZC @ ZD @ ZE @ ZF @ ZW @ ZJ @ X @ L @ G @ ZL @ ZM @ ZN @ ZO @ ZP @ ZQ @ ZR @ ZT @ M @ ZU @ ZV @ Y @ ZX @ ZY @ ZK @ ZZA @ ZZB ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(6,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 @ ZI @ W @ K @ G @ H @ I @ J @ ZW @ L @ M @ N @ O @ P @ D @ R @ S @ T @ U @ V @ ZX @ X @ Y @ Z @ ZA @ ZB @ E @ ZD @ ZE @ ZF @ ZG @ ZH @ ZY @ ZJ @ ZK @ ZL @ ZM @ ZN @ F @ ZP @ ZQ @ ZR @ ZS @ ZT @ ZU @ ZV @ ZO @ ZC @ Q @ ZZ @ ZZA @ ZZB ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',myz) ).
thf(31,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 @ ZI @ W @ K @ G @ H @ I @ J @ ZW @ L @ M @ N @ O @ P @ D @ R @ S @ T @ U @ V @ ZX @ X @ Y @ Z @ ZA @ ZB @ E @ ZD @ ZE @ ZF @ ZG @ ZH @ ZY @ ZJ @ ZK @ ZL @ ZM @ ZN @ F @ ZP @ ZQ @ ZR @ ZS @ ZT @ ZU @ ZV @ ZO @ ZC @ Q @ ZZ @ ZZA @ ZZB ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(11,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 @ N @ C @ D @ Z @ F @ G @ ZL @ I @ J @ K @ L @ M @ ZU @ O @ P @ Q @ R @ S @ H @ U @ V @ W @ X @ Y @ ZX @ ZA @ ZB @ ZC @ ZD @ ZE @ E @ ZG @ ZH @ ZI @ ZJ @ ZK @ ZZA @ ZM @ ZN @ ZO @ ZP @ ZQ @ B @ ZS @ ZT @ ZR @ ZV @ ZW @ ZF @ ZY @ ZZ @ T @ ZZB ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mzx) ).
thf(40,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 @ N @ C @ D @ Z @ F @ G @ ZL @ I @ J @ K @ L @ M @ ZU @ O @ P @ Q @ R @ S @ H @ U @ V @ W @ X @ Y @ ZX @ ZA @ ZB @ ZC @ ZD @ ZE @ E @ ZG @ ZH @ ZI @ ZJ @ ZK @ ZZA @ ZM @ ZN @ ZO @ ZP @ ZQ @ B @ ZS @ ZT @ ZR @ ZV @ ZW @ ZF @ ZY @ ZZ @ T @ ZZB ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
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/sandbox/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(60,plain,
$false,
inference(e,[status(thm)],[56,52,54,35,48,58,36,42,25,46,29,38,21,33,44,27,50,31,40,23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ037-2 : TPTP v8.1.2. Released v2.3.0.
% 0.13/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n031.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu May 18 20:21:56 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.85/0.85 % [INFO] Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 1.23/1.01 % [INFO] Parsing done (157ms).
% 1.50/1.01 % [INFO] Running in sequential loop mode.
% 1.86/1.21 % [INFO] eprover registered as external prover.
% 1.86/1.22 % [INFO] cvc4 registered as external prover.
% 1.86/1.22 % [INFO] Scanning for conjecture ...
% 1.95/1.28 % [INFO] Found a conjecture and 19 axioms. Running axiom selection ...
% 2.15/1.32 % [INFO] Axiom selection finished. Selected 19 axioms (removed 0 axioms).
% 2.47/1.39 % [INFO] Problem is propositional (TPTP CNF).
% 2.47/1.39 % [INFO] Type checking passed.
% 2.47/1.40 % [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 ...
% 4.81/2.07 % External prover 'e' found a proof!
% 4.81/2.07 % [INFO] Killing All external provers ...
% 4.81/2.07 % Time passed: 1556ms (effective reasoning time: 1056ms)
% 4.81/2.07 % Solved by 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)>
% 4.81/2.08 % Axioms used in derivation (19): myz, start_with_this, mxy, txy, byz, rzx, fzy, tyx, mzx, lxz, rxz, lzx, bzy, myx, mxz, bxy, mzy, byx, fyz
% 4.81/2.08 % No. of inferences in proof: 41
% 4.81/2.08 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1556 ms resp. 1056 ms w/o parsing
% 5.17/2.17 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 5.17/2.17 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------