TSTP Solution File: LAT043-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT043-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n014.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 05:59:19 EDT 2023
% Result : Unsatisfiable 0.20s 0.63s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of formulae : 65 ( 58 unt; 7 typ; 0 def)
% Number of atoms : 58 ( 57 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 : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 5 ( 3 >; 2 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 104 ( 19 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,
complement: $i > $i ).
tff(decl_25,type,
n1: $i ).
tff(decl_26,type,
n0: $i ).
tff(decl_27,type,
c: $i ).
tff(decl_28,type,
d: $i ).
cnf(invertability2,axiom,
meet(complement(X1),X1) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invertability2) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(invertability1,axiom,
join(complement(X1),X1) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invertability1) ).
cnf(commutativity_of_join,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
cnf(absorption2,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption2) ).
cnf(absorption1,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(associativity_of_join,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_join) ).
cnf(associativity_of_meet,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT001-0.ax',associativity_of_meet) ).
cnf(distributivity,axiom,
meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity) ).
cnf(invertability3,axiom,
complement(complement(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',invertability3) ).
cnf(prove_compatability_law,negated_conjecture,
complement(join(c,d)) != meet(complement(c),complement(d)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_compatability_law) ).
cnf(c_0_11,axiom,
meet(complement(X1),X1) = n0,
invertability2 ).
cnf(c_0_12,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet ).
cnf(c_0_13,axiom,
join(complement(X1),X1) = n1,
invertability1 ).
cnf(c_0_14,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join ).
cnf(c_0_15,axiom,
join(X1,meet(X1,X2)) = X1,
absorption2 ).
cnf(c_0_16,plain,
meet(X1,complement(X1)) = n0,
inference(rw,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_17,axiom,
meet(X1,join(X1,X2)) = X1,
absorption1 ).
cnf(c_0_18,plain,
join(X1,complement(X1)) = n1,
inference(rw,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_19,plain,
join(X1,n0) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_20,plain,
meet(X1,n1) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
join(n0,X1) = X1,
inference(spm,[status(thm)],[c_0_19,c_0_14]) ).
cnf(c_0_22,plain,
meet(n1,X1) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_12]) ).
cnf(c_0_23,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
associativity_of_join ).
cnf(c_0_24,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_25,axiom,
meet(meet(X1,X2),X3) = meet(X1,meet(X2,X3)),
associativity_of_meet ).
cnf(c_0_26,plain,
meet(n0,X1) = n0,
inference(spm,[status(thm)],[c_0_15,c_0_21]) ).
cnf(c_0_27,plain,
join(n1,X1) = n1,
inference(spm,[status(thm)],[c_0_17,c_0_22]) ).
cnf(c_0_28,plain,
join(X1,join(meet(X2,X1),X3)) = join(X1,X3),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,axiom,
meet(X1,join(X2,X3)) = join(meet(X1,X2),meet(X1,X3)),
distributivity ).
cnf(c_0_30,plain,
meet(X1,meet(complement(X1),X2)) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_16]),c_0_26]) ).
cnf(c_0_31,axiom,
complement(complement(X1)) = X1,
invertability3 ).
cnf(c_0_32,plain,
meet(X1,join(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_14]) ).
cnf(c_0_33,plain,
join(X1,join(complement(X1),X2)) = n1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_18]),c_0_27]) ).
cnf(c_0_34,plain,
join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X2,X3)),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_35,plain,
meet(complement(X1),meet(X1,X2)) = n0,
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_36,plain,
meet(X1,meet(X2,X1)) = meet(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_24]),c_0_12]) ).
cnf(c_0_37,plain,
join(complement(X1),join(X1,X2)) = n1,
inference(spm,[status(thm)],[c_0_33,c_0_31]) ).
cnf(c_0_38,plain,
join(X1,join(X2,X1)) = join(X2,X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_32]),c_0_14]) ).
cnf(c_0_39,plain,
join(X1,join(X2,complement(join(X1,X2)))) = n1,
inference(spm,[status(thm)],[c_0_18,c_0_23]) ).
cnf(c_0_40,plain,
join(X1,meet(X2,complement(X1))) = join(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_18]),c_0_20]) ).
cnf(c_0_41,plain,
meet(complement(X1),meet(X2,X1)) = n0,
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,plain,
meet(X1,join(complement(X1),X2)) = meet(X1,X2),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_16]),c_0_21]) ).
cnf(c_0_43,plain,
join(complement(X1),join(X2,X1)) = n1,
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_44,plain,
join(X1,join(X2,complement(join(X2,X1)))) = n1,
inference(spm,[status(thm)],[c_0_39,c_0_14]) ).
cnf(c_0_45,plain,
join(X1,meet(complement(X1),X2)) = join(X1,X2),
inference(spm,[status(thm)],[c_0_40,c_0_12]) ).
cnf(c_0_46,plain,
meet(X1,complement(join(X2,X1))) = n0,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_32]),c_0_12]) ).
cnf(c_0_47,plain,
meet(complement(X1),join(X1,X2)) = meet(complement(X1),X2),
inference(spm,[status(thm)],[c_0_42,c_0_31]) ).
cnf(c_0_48,plain,
join(X1,complement(meet(X2,X1))) = n1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_24]),c_0_14]) ).
cnf(c_0_49,plain,
meet(X1,join(X2,complement(join(X2,complement(X1))))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_44]),c_0_20]) ).
cnf(c_0_50,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_19]) ).
cnf(c_0_51,plain,
meet(complement(X1),complement(meet(X2,X1))) = complement(X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_20]) ).
cnf(c_0_52,plain,
join(X1,complement(join(X1,complement(X2)))) = join(X1,X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_49]),c_0_23]),c_0_14]),c_0_50]) ).
cnf(c_0_53,plain,
meet(complement(X1),complement(join(X1,X2))) = complement(join(X1,X2)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_17]),c_0_12]) ).
cnf(c_0_54,plain,
complement(join(X1,complement(X2))) = meet(complement(X1),X2),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_52]),c_0_47]),c_0_53]) ).
cnf(c_0_55,negated_conjecture,
complement(join(c,d)) != meet(complement(c),complement(d)),
prove_compatability_law ).
cnf(c_0_56,plain,
meet(complement(X1),complement(X2)) = complement(join(X1,X2)),
inference(spm,[status(thm)],[c_0_54,c_0_31]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_56])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT043-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 24 05:07:04 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.20/0.63 % Version : CSE_E---1.5
% 0.20/0.63 % Problem : theBenchmark.p
% 0.20/0.63 % Proof found
% 0.20/0.63 % SZS status Theorem for theBenchmark.p
% 0.20/0.63 % SZS output start Proof
% See solution above
% 0.20/0.64 % Total time : 0.046000 s
% 0.20/0.64 % SZS output end Proof
% 0.20/0.64 % Total time : 0.049000 s
%------------------------------------------------------------------------------