TSTP Solution File: SYO525+1.021 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SYO525+1.021 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n028.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 12:36:19 EDT 2023
% Result : Theorem 7.29s 2.78s
% Output : Refutation 7.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 34
% Syntax : Number of formulae : 66 ( 6 unt; 4 typ; 0 def)
% Number of atoms : 118 ( 0 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 3082 ( 2 ~; 0 |; 0 &;3024 @)
% ( 0 <=>; 56 =>; 0 <=; 0 <~>)
% Maximal formula depth : 55 ( 39 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 4 usr; 4 con; 0-27 aty)
% Number of variables : 714 ( 0 ^; 714 !; 0 ?; 714 :)
% Comments :
%------------------------------------------------------------------------------
thf(goal_type,type,
goal: $o ).
thf(bin_count_type,type,
bin_count: $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(n0_type,type,
n0: $i ).
thf(n1_type,type,
n1: $i ).
thf(31,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> goal ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',qed21) ).
thf(88,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> goal ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(15,axiom,
( ( bin_count @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p1) ).
thf(56,plain,
( ( bin_count @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(13,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11) ).
thf(52,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(29,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i,U: $i,V: $i,W: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ n0 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ n1 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p24) ).
thf(84,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i,U: $i,V: $i,W: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ n0 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ n1 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(24,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p13) ).
thf(74,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(17,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p19) ).
thf(60,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(7,axiom,
bin_count @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',start) ).
thf(41,plain,
bin_count @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(9,axiom,
! [A: $i,B: $i] :
( ( bin_count @ A @ B @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p3) ).
thf(44,plain,
! [A: $i,B: $i] :
( ( bin_count @ A @ B @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(20,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p17) ).
thf(66,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(11,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p12) ).
thf(48,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(12,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i,U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( bin_count @ 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 @ n0 @ n1 )
=> ( bin_count @ 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 @ n1 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p26) ).
thf(50,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i,U: $i,V: $i,W: $i,X: $i,Y: $i] :
( ( bin_count @ 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 @ n0 @ n1 )
=> ( bin_count @ 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 @ n1 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(23,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6) ).
thf(72,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(8,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10) ).
thf(42,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(5,axiom,
! [A: $i,B: $i,C: $i] :
( ( bin_count @ A @ B @ C @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p4) ).
thf(37,plain,
! [A: $i,B: $i,C: $i] :
( ( bin_count @ A @ B @ C @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p18) ).
thf(46,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(26,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i,U: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p22) ).
thf(78,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i,U: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(22,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p15) ).
thf(70,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20) ).
thf(33,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(1,conjecture,
goal,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal_to_be_proved) ).
thf(2,negated_conjecture,
~ goal,
inference(neg_conjecture,[status(cth)],[1]) ).
thf(32,plain,
~ goal,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(19,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p8) ).
thf(64,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(14,axiom,
! [A: $i] :
( ( bin_count @ A @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2) ).
thf(54,plain,
! [A: $i] :
( ( bin_count @ A @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(30,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p14) ).
thf(86,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(25,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i,U: $i,V: $i,W: $i,X: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ n0 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ n1 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p25) ).
thf(76,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i,U: $i,V: $i,W: $i,X: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ n0 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ W @ X @ n1 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(6,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i,U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( bin_count @ 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 @ n0 )
=> ( bin_count @ 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 @ n1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p27) ).
thf(39,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i,U: $i,V: $i,W: $i,X: $i,Y: $i,Z: $i] :
( ( bin_count @ 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 @ n0 )
=> ( bin_count @ 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 @ n1 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(27,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p16) ).
thf(80,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p7) ).
thf(35,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(16,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p21) ).
thf(58,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(28,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p9) ).
thf(82,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(21,axiom,
! [A: $i,B: $i,C: $i,D: $i] :
( ( bin_count @ A @ B @ C @ D @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5) ).
thf(68,plain,
! [A: $i,B: $i,C: $i,D: $i] :
( ( bin_count @ A @ B @ C @ D @ n0 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ n1 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(18,axiom,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i,U: $i,V: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ n0 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p23) ).
thf(62,plain,
! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i,I: $i,J: $i,K: $i,L: $i,M: $i,N: $i,O: $i,P: $i,Q: $i,R: $i,S: $i,T: $i,U: $i,V: $i] :
( ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ n0 @ n1 @ n1 @ n1 @ n1 )
=> ( bin_count @ A @ B @ C @ D @ E @ F @ G @ H @ I @ J @ K @ L @ M @ N @ O @ P @ Q @ R @ S @ T @ U @ V @ n1 @ n0 @ n0 @ n0 @ n0 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(97,plain,
$false,
inference(e,[status(thm)],[88,56,52,84,74,60,41,44,66,48,50,72,42,37,46,78,70,33,32,64,54,86,76,39,80,35,58,82,68,62]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYO525+1.021 : TPTP v8.1.2. Released v5.2.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.16/0.36 % Computer : n028.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Thu May 18 18:47:49 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.86/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.19/1.01 % [INFO] Parsing done (159ms).
% 1.19/1.01 % [INFO] Running in sequential loop mode.
% 1.88/1.20 % [INFO] eprover registered as external prover.
% 1.88/1.20 % [INFO] cvc4 registered as external prover.
% 1.88/1.20 % [INFO] Scanning for conjecture ...
% 1.99/1.25 % [INFO] Found a conjecture and 29 axioms. Running axiom selection ...
% 1.99/1.29 % [INFO] Axiom selection finished. Selected 29 axioms (removed 0 axioms).
% 2.54/1.42 % [INFO] Problem is first-order (TPTP FOF).
% 2.54/1.44 % [INFO] Type checking passed.
% 2.54/1.45 % [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 ...
% 6.83/2.78 % External prover 'e' found a proof!
% 6.83/2.78 % [INFO] Killing All external provers ...
% 7.29/2.78 % Time passed: 2256ms (effective reasoning time: 1765ms)
% 7.29/2.78 % 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)>
% 7.29/2.78 % Axioms used in derivation (29): p27, p12, p18, p15, p3, p22, p11, p2, p17, p1, p24, p13, p16, p20, p10, p19, p4, p7, p5, p23, p21, qed21, p26, p25, p14, start, p9, p6, p8
% 7.29/2.78 % No. of inferences in proof: 62
% 7.29/2.78 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2256 ms resp. 1765 ms w/o parsing
% 7.29/2.83 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 7.29/2.83 % [INFO] Killing All external provers ...
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