TSTP Solution File: LAT092-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : LAT092-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n009.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 Aug 22 10:46:20 EDT 2023
% Result : Unsatisfiable 216.94s 72.69s
% Output : CNFRefutation 216.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 34 ( 31 unt; 3 typ; 0 def)
% Number of atoms : 31 ( 30 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 20 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 2 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 114 (; 114 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ meet > join > #nlpp > a
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(a,type,
a: $i ).
tff(join,type,
join: ( $i * $i ) > $i ).
tff(meet,type,
meet: ( $i * $i ) > $i ).
tff(f_24,axiom,
! [A,F,B,C,E,D] : ( join(meet(join(meet(A,B),meet(B,join(A,B))),C),meet(join(meet(A,join(join(meet(B,D),meet(E,B)),B)),meet(join(meet(B,meet(meet(join(B,D),join(E,B)),B)),meet(F,join(B,meet(meet(join(B,D),join(E,B)),B)))),join(A,join(join(meet(B,D),meet(E,B)),B)))),join(join(meet(A,B),meet(B,join(A,B))),C))) = B ),
file(unknown,unknown) ).
tff(f_26,axiom,
meet(a,a) != a,
file(unknown,unknown) ).
tff(c_2,plain,
! [A_1,E_5,D_6,C_4,B_3,F_2] : ( join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),C_4),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),C_4))) = B_3 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_5,plain,
! [F_7,D_8,C_11,B_9,E_10,A_12] : ( join(meet(join(meet(A_12,B_9),meet(B_9,join(A_12,B_9))),C_11),meet(join(meet(A_12,join(join(meet(B_9,D_8),meet(E_10,B_9)),B_9)),meet(join(meet(B_9,meet(meet(join(B_9,D_8),join(E_10,B_9)),B_9)),meet(F_7,join(B_9,meet(meet(join(B_9,D_8),join(E_10,B_9)),B_9)))),join(A_12,join(join(meet(B_9,D_8),meet(E_10,B_9)),B_9)))),join(join(meet(A_12,B_9),meet(B_9,join(A_12,B_9))),C_11))) = B_9 ),
inference(cnfTransformation,[status(thm)],[f_24]) ).
tff(c_90,plain,
! [B_17,D_13,C_16,E_15,A_18,A_14] : ( join(meet(join(meet(A_18,join(meet(A_14,B_17),meet(B_17,join(A_14,B_17)))),meet(join(meet(A_14,B_17),meet(B_17,join(A_14,B_17))),join(A_18,join(meet(A_14,B_17),meet(B_17,join(A_14,B_17)))))),C_16),meet(join(meet(A_18,join(join(meet(join(meet(A_14,B_17),meet(B_17,join(A_14,B_17))),D_13),meet(E_15,join(meet(A_14,B_17),meet(B_17,join(A_14,B_17))))),join(meet(A_14,B_17),meet(B_17,join(A_14,B_17))))),meet(B_17,join(A_18,join(join(meet(join(meet(A_14,B_17),meet(B_17,join(A_14,B_17))),D_13),meet(E_15,join(meet(A_14,B_17),meet(B_17,join(A_14,B_17))))),join(meet(A_14,B_17),meet(B_17,join(A_14,B_17))))))),join(join(meet(A_18,join(meet(A_14,B_17),meet(B_17,join(A_14,B_17)))),meet(join(meet(A_14,B_17),meet(B_17,join(A_14,B_17))),join(A_18,join(meet(A_14,B_17),meet(B_17,join(A_14,B_17)))))),C_16))) = join(meet(A_14,B_17),meet(B_17,join(A_14,B_17))) ),
inference(superposition,[status(thm),theory(equality)],[c_5,c_2]) ).
tff(c_309,plain,
! [A_1,E_5,D_6,D_13,C_16,B_3,E_15,F_2,A_18] : ( join(meet(join(meet(A_18,B_3),meet(join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))))),join(A_18,join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))))))))),C_16),meet(join(meet(A_18,join(join(meet(join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))))),D_13),meet(E_15,join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))))))),join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(A_18,join(join(meet(join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))))),D_13),meet(E_15,join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))))))),join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))))))))),join(join(meet(A_18,join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))))))),meet(join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))))),join(A_18,join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))))))))),C_16))) = join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))),meet(join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)))),join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),join(meet(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3)),meet(join(meet(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)),meet(F_2,join(B_3,meet(meet(join(B_3,D_6),join(E_5,B_3)),B_3)))),join(A_1,join(join(meet(B_3,D_6),meet(E_5,B_3)),B_3))))))) ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_90]) ).
tff(c_474,plain,
! [A_21,B_22,D_27,D_20,A_26,C_25,E_24,F_19,E_23] : ( join(meet(join(meet(A_21,B_22),meet(B_22,join(A_21,B_22))),C_25),meet(join(meet(A_21,join(join(meet(B_22,D_27),meet(E_24,B_22)),B_22)),meet(join(meet(A_26,join(join(meet(B_22,D_20),meet(E_23,B_22)),B_22)),meet(join(meet(B_22,meet(meet(join(B_22,D_20),join(E_23,B_22)),B_22)),meet(F_19,join(B_22,meet(meet(join(B_22,D_20),join(E_23,B_22)),B_22)))),join(A_26,join(join(meet(B_22,D_20),meet(E_23,B_22)),B_22)))),join(A_21,join(join(meet(B_22,D_27),meet(E_24,B_22)),B_22)))),join(join(meet(A_21,B_22),meet(B_22,join(A_21,B_22))),C_25))) = B_22 ),
inference(demodulation,[status(thm),theory(equality)],[c_2,c_2,c_2,c_2,c_2,c_2,c_2,c_2,c_2,c_2,c_2,c_2,c_309]) ).
tff(c_715,plain,
! [A_1,B_3,C_25] : ( join(meet(join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),B_3),meet(B_3,join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),B_3))),C_25),meet(B_3,join(join(meet(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),B_3),meet(B_3,join(join(meet(A_1,B_3),meet(B_3,join(A_1,B_3))),B_3))),C_25))) = B_3 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_474]) ).
tff(c_790,plain,
! [A_28,B_29,C_30] : ( join(meet(join(meet(join(meet(A_28,B_29),meet(B_29,join(A_28,B_29))),B_29),meet(B_29,join(join(meet(A_28,B_29),meet(B_29,join(A_28,B_29))),B_29))),C_30),meet(B_29,join(join(meet(join(meet(A_28,B_29),meet(B_29,join(A_28,B_29))),B_29),meet(B_29,join(join(meet(A_28,B_29),meet(B_29,join(A_28,B_29))),B_29))),C_30))) = B_29 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_474]) ).
tff(c_1033,plain,
! [A_1,C_25,C_30] : ( join(meet(join(meet(join(meet(join(meet(A_1,C_25),meet(C_25,join(A_1,C_25))),C_25),meet(C_25,join(join(meet(A_1,C_25),meet(C_25,join(A_1,C_25))),C_25))),C_25),meet(C_25,join(join(meet(join(meet(A_1,C_25),meet(C_25,join(A_1,C_25))),C_25),meet(C_25,join(join(meet(A_1,C_25),meet(C_25,join(A_1,C_25))),C_25))),C_25))),C_30),meet(C_25,join(C_25,C_30))) = C_25 ),
inference(superposition,[status(thm),theory(equality)],[c_715,c_790]) ).
tff(c_1184,plain,
! [C_25,C_30] : ( join(meet(C_25,C_30),meet(C_25,join(C_25,C_30))) = C_25 ),
inference(demodulation,[status(thm),theory(equality)],[c_715,c_1033]) ).
tff(c_1211,plain,
! [C_31,C_32] : ( join(meet(C_31,C_32),meet(C_31,join(C_31,C_32))) = C_31 ),
inference(demodulation,[status(thm),theory(equality)],[c_715,c_1033]) ).
tff(c_1402,plain,
! [A_1,E_5,D_6,C_4,C_31] : ( join(meet(join(meet(A_1,C_31),meet(C_31,join(A_1,C_31))),C_4),meet(join(meet(A_1,join(join(meet(C_31,D_6),meet(E_5,C_31)),C_31)),meet(C_31,join(A_1,join(join(meet(C_31,D_6),meet(E_5,C_31)),C_31)))),join(join(meet(A_1,C_31),meet(C_31,join(A_1,C_31))),C_4))) = C_31 ),
inference(superposition,[status(thm),theory(equality)],[c_1211,c_2]) ).
tff(c_1486,plain,
! [A_37,D_33,C_36,E_34,C_35] : ( join(meet(join(meet(A_37,C_36),meet(C_36,join(A_37,C_36))),C_35),meet(join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))),join(join(meet(A_37,C_36),meet(C_36,join(A_37,C_36))),C_35))) = C_36 ),
inference(superposition,[status(thm),theory(equality)],[c_1211,c_2]) ).
tff(c_1493,plain,
! [E_5,A_37,D_33,D_6,C_4,C_36,E_34] : ( join(meet(C_36,C_4),meet(join(meet(join(meet(A_37,C_36),meet(C_36,join(A_37,C_36))),join(join(meet(join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))),D_6),meet(E_5,join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))))),join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))))),meet(join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))),join(join(meet(A_37,C_36),meet(C_36,join(A_37,C_36))),join(join(meet(join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))),D_6),meet(E_5,join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))))),join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))))))),join(join(meet(join(meet(A_37,C_36),meet(C_36,join(A_37,C_36))),join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36))))),meet(join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))),join(join(meet(A_37,C_36),meet(C_36,join(A_37,C_36))),join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36))))))),C_4))) = join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))) ),
inference(superposition,[status(thm),theory(equality)],[c_1486,c_1402]) ).
tff(c_4963,plain,
! [A_56,C_57,D_58,E_59] : ( join(meet(A_56,join(join(meet(C_57,D_58),meet(E_59,C_57)),C_57)),meet(C_57,join(A_56,join(join(meet(C_57,D_58),meet(E_59,C_57)),C_57)))) = C_57 ),
inference(demodulation,[status(thm),theory(equality)],[c_1184,c_1402,c_1402,c_1493]) ).
tff(c_6017,plain,
! [E_66,F_63,D_64,A_67,B_65] : ( join(meet(A_67,join(join(meet(B_65,D_64),meet(E_66,B_65)),B_65)),meet(join(meet(B_65,meet(meet(join(B_65,D_64),join(E_66,B_65)),B_65)),meet(F_63,join(B_65,meet(meet(join(B_65,D_64),join(E_66,B_65)),B_65)))),join(A_67,join(join(meet(B_65,D_64),meet(E_66,B_65)),B_65)))) = B_65 ),
inference(superposition,[status(thm),theory(equality)],[c_2,c_4963]) ).
tff(c_1799,plain,
! [A_37,C_36,D_33,E_34] : ( join(meet(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)),meet(C_36,join(A_37,join(join(meet(C_36,D_33),meet(E_34,C_36)),C_36)))) = C_36 ),
inference(demodulation,[status(thm),theory(equality)],[c_1184,c_1402,c_1402,c_1493]) ).
tff(c_4962,plain,
! [A_1,C_31,C_4] : ( join(meet(join(meet(A_1,C_31),meet(C_31,join(A_1,C_31))),C_4),meet(C_31,join(join(meet(A_1,C_31),meet(C_31,join(A_1,C_31))),C_4))) = C_31 ),
inference(demodulation,[status(thm),theory(equality)],[c_1799,c_1402]) ).
tff(c_6233,plain,
! [B_68,D_69,E_70,F_71] : ( join(meet(B_68,meet(meet(join(B_68,D_69),join(E_70,B_68)),B_68)),meet(F_71,join(B_68,meet(meet(join(B_68,D_69),join(E_70,B_68)),B_68)))) = B_68 ),
inference(superposition,[status(thm),theory(equality)],[c_6017,c_4962]) ).
tff(c_6516,plain,
! [A_72,F_73] : ( join(meet(A_72,F_73),meet(F_73,join(A_72,F_73))) = F_73 ),
inference(superposition,[status(thm),theory(equality)],[c_6233,c_4962]) ).
tff(c_6042,plain,
! [B_65,D_64,E_66,F_63] : ( join(meet(B_65,meet(meet(join(B_65,D_64),join(E_66,B_65)),B_65)),meet(F_63,join(B_65,meet(meet(join(B_65,D_64),join(E_66,B_65)),B_65)))) = B_65 ),
inference(superposition,[status(thm),theory(equality)],[c_6017,c_4962]) ).
tff(c_6538,plain,
! [A_72,D_64,E_66] : ( meet(meet(join(A_72,D_64),join(E_66,A_72)),A_72) = A_72 ),
inference(superposition,[status(thm),theory(equality)],[c_6516,c_6042]) ).
tff(c_6954,plain,
! [B_83,F_84] : ( join(meet(B_83,B_83),meet(F_84,join(B_83,B_83))) = B_83 ),
inference(demodulation,[status(thm),theory(equality)],[c_6538,c_6538,c_6042]) ).
tff(c_7082,plain,
! [C_86,D_87,E_88] : ( join(join(meet(C_86,D_87),meet(E_88,C_86)),C_86) = C_86 ),
inference(superposition,[status(thm),theory(equality)],[c_1799,c_6954]) ).
tff(c_7112,plain,
! [C_89,D_90] : ( meet(meet(join(C_89,D_90),C_89),C_89) = C_89 ),
inference(superposition,[status(thm),theory(equality)],[c_7082,c_6538]) ).
tff(c_7546,plain,
! [C_101,C_102] : ( meet(meet(C_101,meet(C_101,C_102)),meet(C_101,C_102)) = meet(C_101,C_102) ),
inference(superposition,[status(thm),theory(equality)],[c_1184,c_7112]) ).
tff(c_7633,plain,
! [A_72,D_64,E_66] : ( meet(meet(meet(join(A_72,D_64),join(E_66,A_72)),A_72),meet(meet(join(A_72,D_64),join(E_66,A_72)),A_72)) = meet(meet(join(A_72,D_64),join(E_66,A_72)),A_72) ),
inference(superposition,[status(thm),theory(equality)],[c_6538,c_7546]) ).
tff(c_7658,plain,
! [A_72] : ( meet(A_72,A_72) = A_72 ),
inference(demodulation,[status(thm),theory(equality)],[c_6538,c_6538,c_6538,c_7633]) ).
tff(c_4,plain,
meet(a,a) != a,
inference(cnfTransformation,[status(thm)],[f_26]) ).
tff(c_7666,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_7658,c_4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT092-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.16/0.34 % Computer : n009.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Thu Aug 3 12:16:08 EDT 2023
% 0.16/0.34 % CPUTime :
% 216.94/72.69 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 216.94/72.69
% 216.94/72.69 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 216.94/72.74
% 216.94/72.74 Inference rules
% 216.94/72.74 ----------------------
% 216.94/72.74 #Ref : 0
% 216.94/72.74 #Sup : 1797
% 216.94/72.74 #Fact : 0
% 216.94/72.74 #Define : 0
% 216.94/72.74 #Split : 0
% 216.94/72.74 #Chain : 0
% 216.94/72.74 #Close : 0
% 216.94/72.74
% 216.94/72.74 Ordering : KBO
% 216.94/72.74
% 216.94/72.74 Simplification rules
% 216.94/72.74 ----------------------
% 216.94/72.74 #Subsume : 0
% 216.94/72.74 #Demod : 13848
% 216.94/72.74 #Tautology : 146
% 216.94/72.74 #SimpNegUnit : 0
% 216.94/72.74 #BackRed : 16
% 216.94/72.74
% 216.94/72.74 #Partial instantiations: 0
% 216.94/72.74 #Strategies tried : 1
% 216.94/72.74
% 216.94/72.74 Timing (in seconds)
% 216.94/72.74 ----------------------
% 217.29/72.74 Preprocessing : 0.42
% 217.29/72.74 Parsing : 0.22
% 217.29/72.74 CNF conversion : 0.02
% 217.29/72.74 Main loop : 71.18
% 217.29/72.74 Inferencing : 12.98
% 217.29/72.74 Reduction : 57.04
% 217.29/72.74 Demodulation : 50.80
% 217.29/72.74 BG Simplification : 0.87
% 217.29/72.74 Subsumption : 0.16
% 217.29/72.74 Abstraction : 16.94
% 217.29/72.74 MUC search : 0.00
% 217.29/72.74 Cooper : 0.00
% 217.29/72.74 Total : 71.66
% 217.29/72.74 Index Insertion : 0.00
% 217.29/72.74 Index Deletion : 0.00
% 217.29/72.74 Index Matching : 0.00
% 217.29/72.74 BG Taut test : 0.00
%------------------------------------------------------------------------------