TSTP Solution File: LAT087-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT087-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n022.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 05:59:37 EDT 2023
% Result : Unsatisfiable 0.20s 0.73s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 6
% Syntax : Number of formulae : 58 ( 54 unt; 4 typ; 0 def)
% Number of atoms : 54 ( 53 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 14 ( 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 150 ( 37 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 ).
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/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(prove_normal_axioms_8,negated_conjecture,
join(a,meet(a,b)) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_normal_axioms_8) ).
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(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_18,plain,
meet(meet(join(X1,X2),join(X3,X2)),X2) = X2,
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_19,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_20,plain,
join(X1,meet(X2,X1)) = X1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_15,c_0_17]),c_0_16]) ).
cnf(c_0_21,plain,
meet(join(X1,X2),X2) = X2,
inference(spm,[status(thm)],[c_0_18,c_0_17]) ).
cnf(c_0_22,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_19,c_0_20]),c_0_17]),c_0_16]) ).
cnf(c_0_23,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_21,c_0_11]),c_0_13]),c_0_16]),c_0_13]),c_0_16]) ).
cnf(c_0_24,plain,
meet(meet(X1,X2),X2) = meet(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_22,c_0_23]),c_0_23]) ).
cnf(c_0_25,plain,
meet(meet(join(X1,X2),join(X3,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_16]) ).
cnf(c_0_26,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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_2,c_0_20]),c_0_12]),c_0_12]),c_0_11]),c_0_8]),c_0_12]),c_0_17]) ).
cnf(c_0_27,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_28,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_24]) ).
cnf(c_0_29,plain,
meet(meet(join(X1,X2),X1),X1) = X1,
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_30,plain,
meet(meet(X1,join(X2,X1)),X1) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_27]) ).
cnf(c_0_31,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_28,c_0_2]),c_0_12]),c_0_12]) ).
cnf(c_0_32,plain,
join(meet(meet(meet(X1,join(X2,X2)),meet(X2,join(X1,join(X2,X2)))),meet(meet(X1,join(X2,X2)),X2)),meet(meet(meet(X1,join(X2,X2)),meet(X2,join(X1,join(X2,X2)))),meet(X1,join(X2,X2)))) = meet(meet(X1,join(X2,X2)),meet(X2,join(X1,join(X2,X2)))),
inference(spm,[status(thm)],[c_0_19,c_0_14]) ).
cnf(c_0_33,plain,
meet(join(X1,X2),X1) = X1,
inference(rw,[status(thm)],[c_0_29,c_0_24]) ).
cnf(c_0_34,plain,
meet(X1,meet(X1,join(X2,X1))) = meet(X1,join(X2,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_12]),c_0_30]) ).
cnf(c_0_35,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_31,c_0_14]),c_0_16]),c_0_16]) ).
cnf(c_0_36,plain,
join(meet(X1,X2),X2) = X2,
inference(rw,[status(thm)],[c_0_26,c_0_23]) ).
cnf(c_0_37,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(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_32,c_0_33]),c_0_16]),c_0_16]),c_0_16]),c_0_34]),c_0_16]),c_0_17]),c_0_30]),c_0_16]),c_0_16]),c_0_16]),c_0_34]),c_0_16]),c_0_30]),c_0_16]),c_0_16]),c_0_16]),c_0_16]),c_0_34]) ).
cnf(c_0_38,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_35,c_0_14]),c_0_16]),c_0_16]),c_0_30]),c_0_16]),c_0_30]) ).
cnf(c_0_39,plain,
join(X1,join(join(X1,X2),X1)) = join(join(X1,X2),X1),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
cnf(c_0_40,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_19,c_0_38]),c_0_30]) ).
cnf(c_0_41,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_39,c_0_40]),c_0_7]),c_0_40]),c_0_7]) ).
cnf(c_0_42,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(spm,[status(thm)],[c_0_36,c_0_41]) ).
cnf(c_0_43,plain,
join(meet(meet(X1,X2),X1),meet(X1,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_42,c_0_19]) ).
cnf(c_0_44,plain,
meet(join(X1,join(X2,X3)),X3) = X3,
inference(spm,[status(thm)],[c_0_31,c_0_21]) ).
cnf(c_0_45,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_46,plain,
meet(meet(join(X1,join(X2,X3)),join(X4,X3)),X3) = X3,
inference(spm,[status(thm)],[c_0_13,c_0_42]) ).
cnf(c_0_47,plain,
join(meet(X1,join(X2,join(X3,X1))),X1) = X1,
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,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_45,c_0_46]),c_0_31]),c_0_21]),c_0_47]) ).
cnf(c_0_49,plain,
join(meet(X1,X2),X1) = X1,
inference(spm,[status(thm)],[c_0_48,c_0_43]) ).
cnf(c_0_50,plain,
meet(meet(X1,X2),X1) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_7,c_0_49]),c_0_16]) ).
cnf(c_0_51,negated_conjecture,
join(a,meet(a,b)) != a,
prove_normal_axioms_8 ).
cnf(c_0_52,plain,
join(X1,meet(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_50]) ).
cnf(c_0_53,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT087-1 : TPTP v8.1.2. Released v2.6.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n022.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 04:26:56 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.56 start to proof: theBenchmark
% 0.20/0.73 % Version : CSE_E---1.5
% 0.20/0.73 % Problem : theBenchmark.p
% 0.20/0.73 % Proof found
% 0.20/0.73 % SZS status Theorem for theBenchmark.p
% 0.20/0.73 % SZS output start Proof
% See solution above
% 0.20/0.74 % Total time : 0.159000 s
% 0.20/0.74 % SZS output end Proof
% 0.20/0.74 % Total time : 0.161000 s
%------------------------------------------------------------------------------