TSTP Solution File: LAT017-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT017-1 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n003.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 05:59:13 EDT 2023
% Result : Unsatisfiable 9.78s 9.86s
% Output : CNFRefutation 9.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 35 ( 28 unt; 7 typ; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 11 ( 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 : 47 ( 8 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
complement: $i > $i ).
tff(decl_23,type,
join: ( $i * $i ) > $i ).
tff(decl_24,type,
n1: $i ).
tff(decl_25,type,
meet: ( $i * $i ) > $i ).
tff(decl_26,type,
n0: $i ).
tff(decl_27,type,
a: $i ).
tff(decl_28,type,
b: $i ).
cnf(absorption2,axiom,
join(X1,meet(X1,X2)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT003-0.ax',absorption2) ).
cnf(meet_complement,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT003-0.ax',meet_complement) ).
cnf(complement_involution,axiom,
complement(complement(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT003-0.ax',complement_involution) ).
cnf(commutativity_of_join,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT003-0.ax',commutativity_of_join) ).
cnf(associativity_of_join,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT003-0.ax',associativity_of_join) ).
cnf(top,axiom,
join(complement(X1),X1) = n1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT003-0.ax',top) ).
cnf(prove_e2,negated_conjecture,
join(a,join(meet(complement(a),meet(join(a,complement(b)),join(a,b))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) != n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_e2) ).
cnf(c_0_7,axiom,
join(X1,meet(X1,X2)) = X1,
absorption2 ).
cnf(c_0_8,axiom,
meet(X1,X2) = complement(join(complement(X1),complement(X2))),
meet_complement ).
cnf(c_0_9,plain,
join(X1,complement(join(complement(X1),complement(X2)))) = X1,
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_10,axiom,
complement(complement(X1)) = X1,
complement_involution ).
cnf(c_0_11,plain,
join(X1,complement(join(complement(X1),X2))) = X1,
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join ).
cnf(c_0_13,plain,
join(X1,complement(join(X2,complement(X1)))) = X1,
inference(spm,[status(thm)],[c_0_11,c_0_12]) ).
cnf(c_0_14,axiom,
join(join(X1,X2),X3) = join(X1,join(X2,X3)),
associativity_of_join ).
cnf(c_0_15,axiom,
join(complement(X1),X1) = n1,
top ).
cnf(c_0_16,negated_conjecture,
join(a,join(meet(complement(a),meet(join(a,complement(b)),join(a,b))),meet(complement(a),join(meet(complement(a),b),meet(complement(a),complement(b)))))) != n1,
prove_e2 ).
cnf(c_0_17,plain,
join(complement(X1),complement(join(X2,X1))) = complement(X1),
inference(spm,[status(thm)],[c_0_13,c_0_10]) ).
cnf(c_0_18,plain,
join(X1,join(X2,complement(join(complement(join(X1,X2)),X3)))) = join(X1,X2),
inference(spm,[status(thm)],[c_0_14,c_0_11]) ).
cnf(c_0_19,plain,
join(X1,complement(X1)) = n1,
inference(rw,[status(thm)],[c_0_15,c_0_12]) ).
cnf(c_0_20,negated_conjecture,
join(a,join(complement(join(complement(complement(a)),complement(complement(join(complement(join(a,complement(b))),complement(join(a,b))))))),complement(join(complement(complement(a)),complement(join(complement(join(complement(complement(a)),complement(b))),complement(join(complement(complement(a)),complement(complement(b)))))))))) != n1,
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_16,c_0_8]),c_0_8]),c_0_8]),c_0_8]),c_0_8]) ).
cnf(c_0_21,plain,
join(complement(join(X1,X2)),complement(join(X2,complement(join(complement(join(X1,X2)),X3))))) = complement(join(X2,complement(join(complement(join(X1,X2)),X3)))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_12]) ).
cnf(c_0_22,plain,
join(complement(X1),complement(join(X1,X2))) = complement(X1),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_23,plain,
join(X1,join(X2,complement(join(X1,X2)))) = n1,
inference(spm,[status(thm)],[c_0_19,c_0_14]) ).
cnf(c_0_24,negated_conjecture,
join(a,join(complement(join(a,join(complement(join(a,complement(b))),complement(join(a,b))))),complement(join(a,complement(join(complement(join(a,complement(b))),complement(join(a,b)))))))) != n1,
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_20,c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_25,plain,
join(X1,complement(join(complement(join(X1,X2)),complement(join(X1,X3))))) = complement(join(complement(join(X1,X2)),complement(join(X1,X3)))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_10]),c_0_10]),c_0_10]) ).
cnf(c_0_26,plain,
join(X1,join(X2,join(X3,complement(join(X1,join(X2,X3)))))) = n1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_23]),c_0_14]) ).
cnf(c_0_27,negated_conjecture,
$false,
inference(cn,[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_24,c_0_25]),c_0_10]),c_0_12]),c_0_12]),c_0_12]),c_0_14]),c_0_26])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : LAT017-1 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.12/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 24 06:55:52 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 9.78/9.86 % Version : CSE_E---1.5
% 9.78/9.86 % Problem : theBenchmark.p
% 9.78/9.86 % Proof found
% 9.78/9.86 % SZS status Theorem for theBenchmark.p
% 9.78/9.86 % SZS output start Proof
% See solution above
% 9.78/9.86 % Total time : 9.266000 s
% 9.78/9.86 % SZS output end Proof
% 9.78/9.86 % Total time : 9.269000 s
%------------------------------------------------------------------------------