TSTP Solution File: LAT015-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT015-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n001.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 : Thu Aug 31 05:59:09 EDT 2023
% Result : Unsatisfiable 5.69s 5.83s
% Output : CNFRefutation 5.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 7
% Syntax : Number of formulae : 120 ( 107 unt; 5 typ; 0 def)
% Number of atoms : 150 ( 149 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 79 ( 44 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 1 avg)
% Maximal term depth : 22 ( 2 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 332 ( 89 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
meet: ( $i * $i ) > $i ).
tff(decl_23,type,
join: ( $i * $i ) > $i ).
tff(decl_24,type,
a: $i ).
tff(decl_25,type,
b: $i ).
tff(decl_26,type,
c: $i ).
cnf(single_axiom,axiom,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)),meet(join(meet(X2,meet(meet(join(X4,join(X2,X5)),join(X6,X2)),X2)),meet(X7,join(X2,meet(meet(join(X4,join(X2,X5)),join(X6,X2)),X2)))),join(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_normal_axioms,negated_conjecture,
( meet(a,a) != a
| meet(a,b) != meet(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c))
| join(a,a) != a
| join(a,b) != join(b,a)
| join(join(a,b),c) != join(a,join(b,c))
| meet(a,join(a,b)) != a
| join(a,meet(a,b)) != a ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_normal_axioms) ).
cnf(c_0_2,axiom,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)),meet(join(meet(X2,meet(meet(join(X4,join(X2,X5)),join(X6,X2)),X2)),meet(X7,join(X2,meet(meet(join(X4,join(X2,X5)),join(X6,X2)),X2)))),join(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
single_axiom ).
cnf(c_0_3,plain,
join(meet(join(meet(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),join(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))))),X4),meet(join(meet(X1,join(join(meet(X5,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),X6)),join(meet(X2,X3),meet(X3,join(X2,X3))))),meet(X3,join(X1,join(join(meet(X5,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),X6)),join(meet(X2,X3),meet(X3,join(X2,X3))))))),join(join(meet(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))),meet(join(meet(X2,X3),meet(X3,join(X2,X3))),join(X1,join(meet(X2,X3),meet(X3,join(X2,X3)))))),X4))) = join(meet(X2,X3),meet(X3,join(X2,X3))),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_4,plain,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)),meet(join(meet(X6,join(join(meet(X7,X2),meet(X2,X8)),X2)),meet(join(meet(X2,meet(meet(join(X7,join(X2,X8)),join(X9,X2)),X2)),meet(X10,join(X2,meet(meet(join(X7,join(X2,X8)),join(X9,X2)),X2)))),join(X6,join(join(meet(X7,X2),meet(X2,X8)),X2)))),join(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
inference(spm,[status(thm)],[c_0_3,c_0_2]) ).
cnf(c_0_5,plain,
join(meet(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X3),meet(X2,join(join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X2),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X2))),X3))) = X2,
inference(spm,[status(thm)],[c_0_4,c_0_2]) ).
cnf(c_0_6,plain,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(join(meet(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)),meet(X2,join(X1,join(join(meet(X4,X2),meet(X2,X5)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
inference(spm,[status(thm)],[c_0_3,c_0_5]) ).
cnf(c_0_7,plain,
join(meet(X1,X2),meet(X1,join(X1,X2))) = X1,
inference(spm,[status(thm)],[c_0_5,c_0_5]) ).
cnf(c_0_8,plain,
join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_6]),c_0_6]),c_0_6]),c_0_7]) ).
cnf(c_0_9,plain,
join(meet(join(meet(X1,X2),meet(X2,join(X1,X2))),X3),meet(X2,join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
inference(spm,[status(thm)],[c_0_6,c_0_8]) ).
cnf(c_0_10,plain,
join(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(join(meet(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)),meet(X6,join(X3,meet(meet(join(X2,join(X3,X4)),join(X5,X3)),X3)))),join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))) = X3,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_2]),c_0_2]),c_0_7]) ).
cnf(c_0_11,plain,
join(meet(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X2,join(X1,X3)),join(X4,X1)),X1)))) = X1,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,plain,
join(meet(X1,X2),meet(X2,join(X1,X2))) = X2,
inference(spm,[status(thm)],[c_0_2,c_0_11]) ).
cnf(c_0_13,plain,
meet(meet(join(X1,join(X2,X3)),join(X4,X2)),X2) = X2,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,plain,
join(meet(X1,join(X2,X2)),meet(X2,join(X1,join(X2,X2)))) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_8,c_0_6]),c_0_8]),c_0_8]),c_0_8]),c_0_8]) ).
cnf(c_0_15,plain,
join(meet(X1,X1),meet(X2,join(X1,X1))) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_16,plain,
join(X1,X1) = X1,
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_17,plain,
meet(meet(join(X1,X2),join(X3,X2)),X2) = X2,
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_18,plain,
meet(X1,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_16]),c_0_12]),c_0_12]),c_0_11]),c_0_8]),c_0_12]),c_0_16]) ).
cnf(c_0_19,plain,
meet(join(X1,X2),X2) = X2,
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_20,plain,
join(X1,meet(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_18]),c_0_16]) ).
cnf(c_0_21,plain,
join(meet(meet(X1,X2),meet(X1,join(X1,X2))),meet(meet(X1,X2),X1)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_7,c_0_7]) ).
cnf(c_0_22,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_11]),c_0_13]),c_0_16]),c_0_13]),c_0_16]) ).
cnf(c_0_23,plain,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_24,plain,
join(meet(X1,meet(X2,X1)),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_20]),c_0_12]),c_0_12]),c_0_10]),c_0_12]),c_0_18]) ).
cnf(c_0_25,plain,
meet(meet(X1,X2),X2) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_20]),c_0_18]),c_0_16]) ).
cnf(c_0_26,plain,
meet(meet(join(X1,X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,plain,
meet(join(X1,join(X2,X3)),X2) = X2,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_16]),c_0_25]) ).
cnf(c_0_28,plain,
meet(join(X1,X2),X1) = X1,
inference(rw,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_29,plain,
join(meet(X1,X1),join(X1,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_13]),c_0_13]),c_0_13]) ).
cnf(c_0_30,plain,
meet(join(X1,X2),meet(X2,X3)) = meet(X2,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_2]),c_0_12]),c_0_12]) ).
cnf(c_0_31,plain,
join(X1,meet(X1,join(join(X1,X2),X1))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_28]),c_0_16]),c_0_16]),c_0_16]) ).
cnf(c_0_32,plain,
meet(X1,meet(X1,X2)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_2]),c_0_12]),c_0_12]) ).
cnf(c_0_33,plain,
meet(meet(X1,join(X2,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_29]) ).
cnf(c_0_34,plain,
meet(X1,meet(meet(X1,join(X2,X1)),X3)) = meet(meet(X1,join(X2,X1)),X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_14]),c_0_16]),c_0_16]) ).
cnf(c_0_35,plain,
join(meet(X1,X2),X2) = X2,
inference(rw,[status(thm)],[c_0_24,c_0_22]) ).
cnf(c_0_36,plain,
meet(X1,join(join(X1,X2),X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_31]),c_0_32]),c_0_18]),c_0_33]),c_0_32]),c_0_33]),c_0_16]),c_0_32]) ).
cnf(c_0_37,plain,
meet(meet(X1,join(X2,X1)),meet(X1,X3)) = meet(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_14]),c_0_16]),c_0_16]),c_0_33]),c_0_16]),c_0_33]) ).
cnf(c_0_38,plain,
join(X1,join(join(X1,X2),X1)) = join(join(X1,X2),X1),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,plain,
join(meet(X1,join(X1,join(X2,X1))),X1) = meet(X1,join(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_37]),c_0_33]) ).
cnf(c_0_40,plain,
meet(X1,join(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_7]),c_0_39]),c_0_7]) ).
cnf(c_0_41,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_35,c_0_40]) ).
cnf(c_0_42,plain,
join(meet(meet(X1,X2),X1),meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_41,c_0_21]) ).
cnf(c_0_43,plain,
meet(join(X1,join(X2,X3)),X3) = X3,
inference(spm,[status(thm)],[c_0_30,c_0_19]) ).
cnf(c_0_44,plain,
join(meet(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),meet(X3,join(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)))),meet(meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),X3)) = meet(X1,join(join(meet(X2,X3),meet(X3,X4)),X3)),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_45,plain,
meet(join(X1,meet(join(X2,join(X3,X4)),join(X5,X3))),X3) = X3,
inference(spm,[status(thm)],[c_0_30,c_0_13]) ).
cnf(c_0_46,plain,
join(meet(X1,join(X2,join(X3,X1))),X1) = X1,
inference(spm,[status(thm)],[c_0_42,c_0_43]) ).
cnf(c_0_47,plain,
join(join(meet(X1,X2),meet(X2,X3)),X2) = X2,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_45]),c_0_30]),c_0_19]),c_0_46]) ).
cnf(c_0_48,plain,
join(meet(X1,X2),X1) = X1,
inference(spm,[status(thm)],[c_0_47,c_0_42]) ).
cnf(c_0_49,plain,
meet(meet(X1,X2),X1) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_48]),c_0_16]) ).
cnf(c_0_50,plain,
meet(meet(X1,join(X2,meet(X3,X1))),meet(X3,X1)) = meet(X3,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_14]),c_0_16]),c_0_16]),c_0_16]) ).
cnf(c_0_51,plain,
join(X1,meet(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_49]) ).
cnf(c_0_52,plain,
meet(meet(X1,X2),meet(X2,X1)) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_53,plain,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
inference(spm,[status(thm)],[c_0_47,c_0_22]) ).
cnf(c_0_54,plain,
meet(X1,join(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_49,c_0_28]) ).
cnf(c_0_55,plain,
meet(X1,X2) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_49,c_0_52]),c_0_52]) ).
cnf(c_0_56,plain,
meet(X1,meet(meet(X2,X1),X3)) = meet(meet(X2,X1),X3),
inference(spm,[status(thm)],[c_0_30,c_0_20]) ).
cnf(c_0_57,plain,
meet(join(X1,X2),meet(X3,X2)) = meet(X3,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_14]),c_0_16]),c_0_16]) ).
cnf(c_0_58,plain,
join(join(meet(X1,join(X2,X3)),X2),join(X2,X3)) = join(X2,X3),
inference(spm,[status(thm)],[c_0_53,c_0_54]) ).
cnf(c_0_59,plain,
meet(meet(X1,X2),meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2),
inference(rw,[status(thm)],[c_0_50,c_0_55]) ).
cnf(c_0_60,plain,
join(X1,meet(meet(X2,X1),X3)) = X1,
inference(spm,[status(thm)],[c_0_51,c_0_56]) ).
cnf(c_0_61,plain,
meet(X1,meet(X2,meet(X3,X1))) = meet(X2,meet(X3,X1)),
inference(spm,[status(thm)],[c_0_57,c_0_20]) ).
cnf(c_0_62,plain,
join(join(X1,X2),X1) = join(X1,X2),
inference(spm,[status(thm)],[c_0_51,c_0_28]) ).
cnf(c_0_63,plain,
join(join(X1,X2),join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_58,c_0_40]) ).
cnf(c_0_64,plain,
meet(meet(X1,X2),meet(meet(X3,X2),X1)) = meet(meet(X3,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_55]) ).
cnf(c_0_65,plain,
join(join(X1,X2),meet(X2,X3)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_51,c_0_30]) ).
cnf(c_0_66,plain,
join(meet(X1,X2),join(X3,X1)) = join(X3,X1),
inference(spm,[status(thm)],[c_0_48,c_0_30]) ).
cnf(c_0_67,plain,
join(meet(join(meet(X1,meet(join(meet(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)),meet(join(meet(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)),meet(X7,join(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)))),join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)))),join(join(meet(X2,X4),meet(X4,join(X2,X4))),X8))),meet(meet(join(meet(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)),meet(join(meet(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)),meet(X7,join(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)))),join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)))),join(join(meet(X2,X4),meet(X4,join(X2,X4))),X8)),join(X1,meet(join(meet(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)),meet(join(meet(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)),meet(X7,join(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)))),join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)))),join(join(meet(X2,X4),meet(X4,join(X2,X4))),X8))))),X9),meet(join(meet(X1,join(join(meet(X10,meet(join(meet(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)),meet(join(meet(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)),meet(X7,join(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)))),join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)))),join(join(meet(X2,X4),meet(X4,join(X2,X4))),X8))),meet(meet(join(meet(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)),meet(join(meet(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)),meet(X7,join(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)))),join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)))),join(join(meet(X2,X4),meet(X4,join(X2,X4))),X8)),X11)),meet(join(meet(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)),meet(join(meet(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)),meet(X7,join(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)))),join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)))),join(join(meet(X2,X4),meet(X4,join(X2,X4))),X8)))),meet(join(meet(meet(join(meet(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)),meet(join(meet(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)),meet(X7,join(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)))),join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)))),join(join(meet(X2,X4),meet(X4,join(X2,X4))),X8)),meet(meet(join(X10,join(meet(join(meet(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)),meet(join(meet(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)),meet(X7,join(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)))),join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)))),join(join(meet(X2,X4),meet(X4,join(X2,X4))),X8)),X11)),X4),meet(join(meet(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)),meet(join(meet(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)),meet(X7,join(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)))),join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)))),join(join(meet(X2,X4),meet(X4,join(X2,X4))),X8)))),meet(X12,join(meet(join(meet(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)),meet(join(meet(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)),meet(X7,join(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)))),join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)))),join(join(meet(X2,X4),meet(X4,join(X2,X4))),X8)),meet(meet(join(X10,join(meet(join(meet(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)),meet(join(meet(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)),meet(X7,join(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)))),join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)))),join(join(meet(X2,X4),meet(X4,join(X2,X4))),X8)),X11)),X4),meet(join(meet(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)),meet(join(meet(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)),meet(X7,join(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)))),join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)))),join(join(meet(X2,X4),meet(X4,join(X2,X4))),X8)))))),join(X1,join(join(meet(X10,meet(join(meet(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)),meet(join(meet(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)),meet(X7,join(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)))),join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)))),join(join(meet(X2,X4),meet(X4,join(X2,X4))),X8))),meet(meet(join(meet(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)),meet(join(meet(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)),meet(X7,join(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)))),join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)))),join(join(meet(X2,X4),meet(X4,join(X2,X4))),X8)),X11)),meet(join(meet(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)),meet(join(meet(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)),meet(X7,join(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)))),join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)))),join(join(meet(X2,X4),meet(X4,join(X2,X4))),X8)))))),join(join(meet(X1,meet(join(meet(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)),meet(join(meet(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)),meet(X7,join(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)))),join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)))),join(join(meet(X2,X4),meet(X4,join(X2,X4))),X8))),meet(meet(join(meet(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)),meet(join(meet(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)),meet(X7,join(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)))),join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)))),join(join(meet(X2,X4),meet(X4,join(X2,X4))),X8)),join(X1,meet(join(meet(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)),meet(join(meet(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)),meet(X7,join(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)))),join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)))),join(join(meet(X2,X4),meet(X4,join(X2,X4))),X8))))),X9))) = meet(join(meet(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)),meet(join(meet(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)),meet(X7,join(X4,meet(meet(join(X3,join(X4,X5)),join(X6,X4)),X4)))),join(X2,join(join(meet(X3,X4),meet(X4,X5)),X4)))),join(join(meet(X2,X4),meet(X4,join(X2,X4))),X8)),
inference(spm,[status(thm)],[c_0_2,c_0_2]) ).
cnf(c_0_68,plain,
meet(X1,meet(X2,meet(X3,meet(X4,X1)))) = meet(X2,meet(X3,meet(X4,X1))),
inference(spm,[status(thm)],[c_0_56,c_0_61]) ).
cnf(c_0_69,plain,
join(X1,X2) = join(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_63]) ).
cnf(c_0_70,plain,
join(meet(X1,X2),meet(meet(X3,X2),X1)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_51,c_0_64]) ).
cnf(c_0_71,plain,
meet(meet(X1,X2),meet(X2,join(X3,X1))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_59,c_0_65]) ).
cnf(c_0_72,plain,
join(meet(X1,X2),join(X3,meet(X2,X1))) = join(X3,meet(X2,X1)),
inference(spm,[status(thm)],[c_0_66,c_0_52]) ).
cnf(c_0_73,plain,
join(meet(join(meet(X1,meet(X2,join(join(meet(X3,X2),meet(X2,join(X3,X2))),X4))),meet(meet(X2,join(join(meet(X3,X2),meet(X2,join(X3,X2))),X4)),join(X1,meet(X2,join(join(meet(X3,X2),meet(X2,join(X3,X2))),X4))))),X5),meet(join(meet(X1,join(join(meet(X6,meet(X2,join(join(meet(X3,X2),meet(X2,join(X3,X2))),X4))),meet(meet(X2,join(join(meet(X3,X2),meet(X2,join(X3,X2))),X4)),X7)),meet(X2,join(join(meet(X3,X2),meet(X2,join(X3,X2))),X4)))),meet(join(meet(meet(X2,join(join(meet(X3,X2),meet(X2,join(X3,X2))),X4)),meet(meet(join(X6,join(meet(X2,join(join(meet(X3,X2),meet(X2,join(X3,X2))),X4)),X7)),X2),meet(X2,join(join(meet(X3,X2),meet(X2,join(X3,X2))),X4)))),meet(X8,join(meet(X2,join(join(meet(X3,X2),meet(X2,join(X3,X2))),X4)),meet(meet(join(X6,join(meet(X2,join(join(meet(X3,X2),meet(X2,join(X3,X2))),X4)),X7)),X2),meet(X2,join(join(meet(X3,X2),meet(X2,join(X3,X2))),X4)))))),join(X1,join(join(meet(X6,meet(X2,join(join(meet(X3,X2),meet(X2,join(X3,X2))),X4))),meet(meet(X2,join(join(meet(X3,X2),meet(X2,join(X3,X2))),X4)),X7)),meet(X2,join(join(meet(X3,X2),meet(X2,join(X3,X2))),X4)))))),join(join(meet(X1,meet(X2,join(join(meet(X3,X2),meet(X2,join(X3,X2))),X4))),meet(meet(X2,join(join(meet(X3,X2),meet(X2,join(X3,X2))),X4)),join(X1,meet(X2,join(join(meet(X3,X2),meet(X2,join(X3,X2))),X4))))),X5))) = meet(X2,join(join(meet(X3,X2),meet(X2,join(X3,X2))),X4)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_74,plain,
join(X1,meet(X2,meet(X3,meet(X4,X1)))) = X1,
inference(spm,[status(thm)],[c_0_51,c_0_68]) ).
cnf(c_0_75,plain,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_49,c_0_43]) ).
cnf(c_0_76,plain,
join(join(X1,X2),join(X1,meet(X3,join(X1,X2)))) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_69]),c_0_69]) ).
cnf(c_0_77,plain,
meet(X1,join(X2,join(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_49,c_0_27]) ).
cnf(c_0_78,plain,
join(join(meet(X1,X2),meet(X3,meet(X4,meet(X5,X2)))),X2) = X2,
inference(spm,[status(thm)],[c_0_47,c_0_68]) ).
cnf(c_0_79,plain,
join(meet(X1,X2),meet(meet(X2,X3),X1)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_70,c_0_55]) ).
cnf(c_0_80,plain,
meet(meet(X1,X2),meet(join(X3,X1),X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_71,c_0_55]) ).
cnf(c_0_81,plain,
join(meet(X1,meet(X2,X3)),meet(X1,X3)) = meet(X1,X3),
inference(spm,[status(thm)],[c_0_72,c_0_70]) ).
cnf(c_0_82,plain,
join(meet(X1,X2),meet(join(meet(X3,join(join(meet(X4,X1),meet(X5,meet(X6,meet(X7,X1)))),X1)),X1),join(X1,X2))) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_68]),c_0_12]),c_0_12]),c_0_12]),c_0_40]),c_0_35]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_22]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_20]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_40]),c_0_35]),c_0_12]),c_0_54]),c_0_54]),c_0_54]),c_0_54]),c_0_54]),c_0_54]),c_0_74]),c_0_19]),c_0_54]),c_0_18]),c_0_54]),c_0_20]),c_0_54]),c_0_54]),c_0_54]),c_0_75]),c_0_54]),c_0_54]) ).
cnf(c_0_83,plain,
join(join(X1,X2),join(X1,join(X2,X3))) = join(X1,join(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_69]) ).
cnf(c_0_84,plain,
join(X1,join(meet(X2,X1),meet(X3,meet(X4,meet(X5,X1))))) = X1,
inference(rw,[status(thm)],[c_0_78,c_0_69]) ).
cnf(c_0_85,negated_conjecture,
( meet(a,a) != a
| meet(a,b) != meet(b,a)
| meet(meet(a,b),c) != meet(a,meet(b,c))
| join(a,a) != a
| join(a,b) != join(b,a)
| join(join(a,b),c) != join(a,join(b,c))
| meet(a,join(a,b)) != a
| join(a,meet(a,b)) != a ),
prove_normal_axioms ).
cnf(c_0_86,plain,
join(join(X1,X2),meet(X1,X3)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_60,c_0_54]) ).
cnf(c_0_87,plain,
meet(X1,meet(join(X2,X1),X3)) = meet(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_55]),c_0_81]),c_0_55]) ).
cnf(c_0_88,plain,
meet(join(X1,X2),join(X1,join(X2,X3))) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_69]),c_0_84]),c_0_35]),c_0_16]) ).
cnf(c_0_89,negated_conjecture,
( meet(meet(a,b),c) != meet(a,meet(b,c))
| join(join(a,b),c) != join(a,join(b,c))
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b)
| meet(a,join(a,b)) != a
| join(a,meet(a,b)) != a
| meet(a,a) != a ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_16])]) ).
cnf(c_0_90,plain,
meet(meet(X1,X2),meet(X2,join(X1,X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_59,c_0_86]) ).
cnf(c_0_91,plain,
meet(X1,meet(X2,join(X3,X1))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_87,c_0_55]) ).
cnf(c_0_92,plain,
meet(join(X1,X2),join(join(X2,X3),X1)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_88,c_0_69]) ).
cnf(c_0_93,negated_conjecture,
( meet(meet(a,b),c) != meet(a,meet(b,c))
| join(join(a,b),c) != join(a,join(b,c))
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b)
| meet(a,join(a,b)) != a
| join(a,meet(a,b)) != a ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_18])]) ).
cnf(c_0_94,plain,
meet(meet(X1,X2),meet(join(X1,X3),X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_90,c_0_55]) ).
cnf(c_0_95,plain,
meet(meet(X1,X2),meet(X3,X1)) = meet(meet(X1,X2),X3),
inference(spm,[status(thm)],[c_0_91,c_0_51]) ).
cnf(c_0_96,plain,
meet(meet(X1,X2),meet(X3,X2)) = meet(meet(X1,X2),X3),
inference(spm,[status(thm)],[c_0_91,c_0_20]) ).
cnf(c_0_97,plain,
join(join(X1,X2),join(X3,X1)) = join(join(X1,X2),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_92]),c_0_83]) ).
cnf(c_0_98,negated_conjecture,
( meet(meet(a,b),c) != meet(a,meet(b,c))
| join(join(a,b),c) != join(a,join(b,c))
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b)
| meet(a,join(a,b)) != a ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_93,c_0_51])]) ).
cnf(c_0_99,plain,
meet(X1,meet(join(X1,X2),X3)) = meet(X1,X3),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_94]),c_0_55]),c_0_81]),c_0_55]) ).
cnf(c_0_100,plain,
meet(meet(X1,X2),X3) = meet(meet(X3,X2),X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_64,c_0_95]),c_0_96]) ).
cnf(c_0_101,plain,
join(X1,join(X2,meet(X3,X1))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_10]),c_0_47]) ).
cnf(c_0_102,negated_conjecture,
( meet(meet(a,b),c) != meet(a,meet(b,c))
| join(join(a,b),c) != join(a,join(b,c))
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_98,c_0_54])]) ).
cnf(c_0_103,plain,
meet(X1,meet(X2,join(X1,X3))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_99,c_0_55]) ).
cnf(c_0_104,plain,
meet(meet(X1,X2),X3) = meet(X1,meet(X3,X2)),
inference(spm,[status(thm)],[c_0_55,c_0_100]) ).
cnf(c_0_105,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_101,c_0_69]) ).
cnf(c_0_106,plain,
join(join(X1,X2),join(X2,X3)) = join(join(X2,X3),X1),
inference(spm,[status(thm)],[c_0_69,c_0_97]) ).
cnf(c_0_107,negated_conjecture,
( meet(c,meet(a,b)) != meet(a,meet(b,c))
| join(join(a,b),c) != join(a,join(b,c))
| join(b,a) != join(a,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_55]),c_0_55])]) ).
cnf(c_0_108,plain,
meet(X1,meet(X2,X3)) = meet(X3,meet(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_103,c_0_2]),c_0_40]),c_0_35]),c_0_40]),c_0_35]),c_0_104]),c_0_104]),c_0_61]),c_0_104]) ).
cnf(c_0_109,plain,
join(join(X1,X2),X3) = join(join(X3,X1),X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_105,c_0_40]),c_0_106]) ).
cnf(c_0_110,negated_conjecture,
( join(join(a,b),c) != join(a,join(b,c))
| join(b,a) != join(a,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_108])]) ).
cnf(c_0_111,plain,
join(join(X1,X2),X3) = join(X2,join(X3,X1)),
inference(spm,[status(thm)],[c_0_69,c_0_109]) ).
cnf(c_0_112,negated_conjecture,
join(c,join(a,b)) != join(a,join(b,c)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_69]),c_0_69])]) ).
cnf(c_0_113,plain,
join(X1,join(X2,X3)) = join(X3,join(X1,X2)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_111]),c_0_111]) ).
cnf(c_0_114,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_112,c_0_113])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT015-1 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n001.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Aug 24 07:04:25 EDT 2023
% 0.12/0.35 % CPUTime :
% 0.20/0.54 start to proof: theBenchmark
% 5.69/5.83 % Version : CSE_E---1.5
% 5.69/5.83 % Problem : theBenchmark.p
% 5.69/5.83 % Proof found
% 5.69/5.83 % SZS status Theorem for theBenchmark.p
% 5.69/5.83 % SZS output start Proof
% See solution above
% 5.78/5.84 % Total time : 5.277000 s
% 5.78/5.84 % SZS output end Proof
% 5.78/5.84 % Total time : 5.280000 s
%------------------------------------------------------------------------------