TSTP Solution File: LAT030-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT030-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n007.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 05:59:16 EDT 2023
% Result : Unsatisfiable 1.05s 1.17s
% Output : CNFRefutation 1.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 7
% Syntax : Number of formulae : 64 ( 53 unt; 5 typ; 0 def)
% Number of atoms : 79 ( 78 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 47 ( 27 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 1 avg)
% Maximal term depth : 13 ( 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 : 139 ( 30 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(X2,X4),meet(X5,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X4),join(X5,X2)),X2)),meet(X6,join(X2,meet(meet(join(X2,X4),join(X5,X2)),X2)))),join(X1,join(join(meet(X2,X4),meet(X5,X2)),X2)))),join(join(meet(X1,X2),meet(X2,join(X1,X2))),X3))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_wal_axioms,negated_conjecture,
( meet(a,a) != a
| meet(b,a) != meet(a,b)
| join(a,a) != a
| join(b,a) != join(a,b)
| meet(meet(join(a,b),join(c,b)),b) != b
| join(join(meet(a,b),meet(c,b)),b) != b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wal_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(X2,X4),meet(X5,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X4),join(X5,X2)),X2)),meet(X6,join(X2,meet(meet(join(X2,X4),join(X5,X2)),X2)))),join(X1,join(join(meet(X2,X4),meet(X5,X2)),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(join(meet(X2,X3),meet(X3,join(X2,X3))),X5),meet(X6,join(meet(X2,X3),meet(X3,join(X2,X3))))),join(meet(X2,X3),meet(X3,join(X2,X3))))),meet(X3,join(X1,join(join(meet(join(meet(X2,X3),meet(X3,join(X2,X3))),X5),meet(X6,join(meet(X2,X3),meet(X3,join(X2,X3))))),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(X2,X4),meet(X5,X2)),X2)),meet(join(meet(X6,join(join(meet(X2,X7),meet(X8,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X7),join(X8,X2)),X2)),meet(X9,join(X2,meet(meet(join(X2,X7),join(X8,X2)),X2)))),join(X6,join(join(meet(X2,X7),meet(X8,X2)),X2)))),join(X1,join(join(meet(X2,X4),meet(X5,X2)),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(X2,X4),meet(X5,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X4),meet(X5,X2)),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(X4,X2)),X2)),meet(X2,join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = X2,
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(X4,X2)),X2)),meet(join(meet(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)),meet(X5,join(X2,meet(meet(join(X2,X3),join(X4,X2)),X2)))),join(X1,join(join(meet(X2,X3),meet(X4,X2)),X2)))) = X2,
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(X1,X2),join(X3,X1)),X1)),meet(X4,join(X1,meet(meet(join(X1,X2),join(X3,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,X2),join(X3,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,plain,
join(meet(X1,X1),meet(X2,join(X1,X1))) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_13]) ).
cnf(c_0_15,plain,
join(join(meet(X1,X2),meet(X3,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_10,c_0_14]) ).
cnf(c_0_16,plain,
meet(meet(join(X1,X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_15]) ).
cnf(c_0_17,plain,
meet(meet(X1,meet(X1,X2)),meet(X1,X2)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_2]),c_0_12]),c_0_12]),c_0_12]) ).
cnf(c_0_18,plain,
meet(X1,X1) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_13]),c_0_13]) ).
cnf(c_0_19,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_20,plain,
join(join(meet(X1,X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_13]) ).
cnf(c_0_21,plain,
meet(join(X1,X1),X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_18]) ).
cnf(c_0_22,plain,
join(X1,join(X1,X1)) = X1,
inference(rw,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_23,plain,
join(X1,X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]),c_0_22]) ).
cnf(c_0_24,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_25,plain,
join(X1,meet(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_11,c_0_23]),c_0_16]),c_0_18]),c_0_16]),c_0_23]) ).
cnf(c_0_26,plain,
meet(meet(X1,meet(X2,X1)),meet(X2,X1)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16,c_0_10]),c_0_15]),c_0_15]),c_0_15]) ).
cnf(c_0_27,plain,
meet(meet(X1,meet(X2,X1)),X1) = meet(X1,meet(X2,X1)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_18]),c_0_23]) ).
cnf(c_0_28,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_26]),c_0_25]),c_0_25]) ).
cnf(c_0_29,plain,
meet(meet(X1,X2),X2) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27,c_0_28]),c_0_28]) ).
cnf(c_0_30,plain,
meet(join(X1,X2),X1) = X1,
inference(rw,[status(thm)],[c_0_16,c_0_29]) ).
cnf(c_0_31,plain,
meet(meet(X1,join(X2,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_23]) ).
cnf(c_0_32,plain,
meet(X1,join(meet(X1,X2),X1)) = join(meet(X1,X2),X1),
inference(spm,[status(thm)],[c_0_30,c_0_20]) ).
cnf(c_0_33,plain,
meet(join(meet(X1,X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_34,negated_conjecture,
( meet(a,a) != a
| meet(b,a) != meet(a,b)
| join(a,a) != a
| join(b,a) != join(a,b)
| meet(meet(join(a,b),join(c,b)),b) != b
| join(join(meet(a,b),meet(c,b)),b) != b ),
prove_wal_axioms ).
cnf(c_0_35,plain,
join(meet(meet(X1,X2),X3),meet(join(meet(X4,meet(X1,X2)),meet(join(meet(X5,meet(X1,X2)),meet(join(meet(meet(X1,join(X6,meet(X1,X2))),meet(X1,X2)),meet(X7,meet(X1,X2))),join(X5,meet(X1,X2)))),join(X4,meet(X1,X2)))),join(meet(X1,X2),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(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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_4,c_0_4]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_15]),c_0_12]),c_0_15]),c_0_15]),c_0_13]),c_0_18]),c_0_13]),c_0_23]),c_0_25]),c_0_15]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_12]),c_0_28]),c_0_12]),c_0_12]),c_0_12]),c_0_25]),c_0_12]),c_0_15]),c_0_15]),c_0_13]),c_0_18]),c_0_13]),c_0_23]),c_0_25]),c_0_15]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_12]),c_0_15]),c_0_12]),c_0_12]),c_0_12]),c_0_12]),c_0_12]) ).
cnf(c_0_36,plain,
join(meet(X1,X2),X1) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_33]),c_0_20]),c_0_33]),c_0_23]) ).
cnf(c_0_37,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_25]),c_0_12]),c_0_12]),c_0_10]),c_0_12]),c_0_18]) ).
cnf(c_0_38,negated_conjecture,
( meet(meet(join(a,b),join(c,b)),b) != b
| join(join(meet(a,b),meet(c,b)),b) != b
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b)
| join(a,a) != a ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_18])]) ).
cnf(c_0_39,plain,
meet(X1,join(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_31]),c_0_36]),c_0_25]) ).
cnf(c_0_40,plain,
join(meet(X1,X2),X2) = X2,
inference(rw,[status(thm)],[c_0_37,c_0_28]) ).
cnf(c_0_41,plain,
meet(meet(X1,X2),X1) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_36]),c_0_23]) ).
cnf(c_0_42,negated_conjecture,
( meet(meet(join(a,b),join(c,b)),b) != b
| join(join(meet(a,b),meet(c,b)),b) != b
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_23])]) ).
cnf(c_0_43,plain,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
inference(spm,[status(thm)],[c_0_15,c_0_28]) ).
cnf(c_0_44,plain,
join(X1,join(X2,X1)) = join(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(spm,[status(thm)],[c_0_2,c_0_39]),c_0_39]),c_0_15]),c_0_39]),c_0_13]),c_0_18]),c_0_13]),c_0_23]),c_0_25]),c_0_15]),c_0_39]),c_0_39]),c_0_7]) ).
cnf(c_0_45,plain,
meet(meet(X1,join(X2,meet(X3,X1))),meet(X3,X1)) = meet(X3,X1),
inference(spm,[status(thm)],[c_0_13,c_0_40]) ).
cnf(c_0_46,plain,
join(X1,meet(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_25,c_0_41]) ).
cnf(c_0_47,negated_conjecture,
( meet(meet(join(a,b),join(c,b)),b) != b
| meet(b,a) != meet(a,b)
| join(b,a) != join(a,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_43])]) ).
cnf(c_0_48,plain,
meet(meet(join(X1,X2),join(X3,X2)),X2) = X2,
inference(spm,[status(thm)],[c_0_13,c_0_44]) ).
cnf(c_0_49,plain,
meet(meet(X1,X2),meet(X2,X1)) = meet(X2,X1),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_50,plain,
join(join(X1,meet(X2,join(X3,X1))),join(X3,X1)) = join(X3,X1),
inference(spm,[status(thm)],[c_0_43,c_0_39]) ).
cnf(c_0_51,plain,
meet(X1,join(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_41,c_0_30]) ).
cnf(c_0_52,negated_conjecture,
( meet(b,a) != meet(a,b)
| join(b,a) != join(a,b) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_48])]) ).
cnf(c_0_53,plain,
meet(X1,X2) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_49]),c_0_49]) ).
cnf(c_0_54,plain,
join(join(X1,X2),X1) = join(X1,X2),
inference(spm,[status(thm)],[c_0_46,c_0_30]) ).
cnf(c_0_55,plain,
join(join(X1,X2),join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_56,negated_conjecture,
join(b,a) != join(a,b),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_53])]) ).
cnf(c_0_57,plain,
join(X1,X2) = join(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_55]) ).
cnf(c_0_58,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_56,c_0_57])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LAT030-1 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu Aug 24 05:36:25 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.21/0.56 start to proof: theBenchmark
% 1.05/1.17 % Version : CSE_E---1.5
% 1.05/1.17 % Problem : theBenchmark.p
% 1.05/1.17 % Proof found
% 1.05/1.17 % SZS status Theorem for theBenchmark.p
% 1.05/1.17 % SZS output start Proof
% See solution above
% 1.15/1.18 % Total time : 0.600000 s
% 1.15/1.18 % SZS output end Proof
% 1.15/1.18 % Total time : 0.603000 s
%------------------------------------------------------------------------------