TSTP Solution File: LAT026-1 by CSE_E---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT026-1 : 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 05:59:15 EDT 2023
% Result : Unsatisfiable 0.19s 0.71s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 40 ( 35 unt; 5 typ; 0 def)
% Number of atoms : 35 ( 34 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Maximal term depth : 5 ( 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 : 83 ( 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(wal_2,axiom,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT005-0.ax',wal_2) ).
cnf(commutativity_of_join,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT005-0.ax',commutativity_of_join) ).
cnf(absorbtion,hypothesis,
meet(X1,join(X2,join(X1,X3))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorbtion) ).
cnf(idempotence_of_join,axiom,
join(X1,X1) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT005-0.ax',idempotence_of_join) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/LAT005-0.ax',commutativity_of_meet) ).
cnf(wal_1,axiom,
meet(meet(join(X1,X2),join(X3,X2)),X2) = X2,
file('/export/starexec/sandbox2/benchmark/Axioms/LAT005-0.ax',wal_1) ).
cnf(prove_associativity_of_meet,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_associativity_of_meet) ).
cnf(c_0_7,axiom,
join(join(meet(X1,X2),meet(X3,X2)),X2) = X2,
wal_2 ).
cnf(c_0_8,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join ).
cnf(c_0_9,hypothesis,
meet(X1,join(X2,join(X1,X3))) = X1,
absorbtion ).
cnf(c_0_10,plain,
join(X1,join(meet(X2,X1),meet(X3,X1))) = X1,
inference(rw,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,axiom,
join(X1,X1) = X1,
idempotence_of_join ).
cnf(c_0_12,hypothesis,
meet(X1,join(X2,join(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_9,c_0_8]) ).
cnf(c_0_13,plain,
join(X1,meet(X2,X1)) = X1,
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_14,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet ).
cnf(c_0_15,hypothesis,
meet(meet(X1,X2),join(X3,X2)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_16,axiom,
meet(meet(join(X1,X2),join(X3,X2)),X2) = X2,
wal_1 ).
cnf(c_0_17,plain,
join(X1,meet(X1,X2)) = X1,
inference(spm,[status(thm)],[c_0_13,c_0_14]) ).
cnf(c_0_18,hypothesis,
meet(X1,meet(X2,meet(X3,X1))) = meet(X2,meet(X3,X1)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_15,c_0_13]),c_0_14]) ).
cnf(c_0_19,plain,
meet(X1,meet(join(X2,X1),join(X3,X1))) = X1,
inference(rw,[status(thm)],[c_0_16,c_0_14]) ).
cnf(c_0_20,hypothesis,
join(X1,meet(X2,meet(X3,X1))) = X1,
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
cnf(c_0_21,plain,
meet(meet(X1,X2),meet(X2,join(X3,meet(X1,X2)))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_19,c_0_13]) ).
cnf(c_0_22,hypothesis,
join(X1,meet(meet(X2,X1),X3)) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_14]) ).
cnf(c_0_23,hypothesis,
meet(meet(X1,X2),meet(meet(X3,X2),X1)) = meet(meet(X3,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_22]),c_0_14]) ).
cnf(c_0_24,plain,
meet(meet(X1,X2),meet(X1,join(X3,meet(X1,X2)))) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_19,c_0_17]) ).
cnf(c_0_25,hypothesis,
join(X1,meet(X2,meet(X1,X3))) = X1,
inference(spm,[status(thm)],[c_0_20,c_0_14]) ).
cnf(c_0_26,hypothesis,
join(meet(X1,X2),meet(meet(X3,X2),X1)) = meet(X1,X2),
inference(spm,[status(thm)],[c_0_17,c_0_23]) ).
cnf(c_0_27,hypothesis,
meet(meet(X1,X2),meet(X1,meet(X2,X3))) = meet(X1,meet(X2,X3)),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_14]) ).
cnf(c_0_28,hypothesis,
meet(meet(X1,X2),meet(X3,X2)) = meet(meet(X1,X2),X3),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_26]),c_0_27]) ).
cnf(c_0_29,hypothesis,
meet(meet(X1,X2),X3) = meet(meet(X3,X2),X1),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_28]),c_0_28]) ).
cnf(c_0_30,negated_conjecture,
meet(meet(a,b),c) != meet(a,meet(b,c)),
prove_associativity_of_meet ).
cnf(c_0_31,hypothesis,
meet(meet(X1,X2),X3) = meet(X1,meet(X3,X2)),
inference(spm,[status(thm)],[c_0_14,c_0_29]) ).
cnf(c_0_32,negated_conjecture,
meet(c,meet(a,b)) != meet(a,meet(b,c)),
inference(rw,[status(thm)],[c_0_30,c_0_14]) ).
cnf(c_0_33,hypothesis,
meet(X1,meet(X2,X3)) = meet(X2,meet(X1,X3)),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_31]),c_0_31]) ).
cnf(c_0_34,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_33]),c_0_14])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT026-1 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n007.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 07:03:40 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof: theBenchmark
% 0.19/0.71 % Version : CSE_E---1.5
% 0.19/0.71 % Problem : theBenchmark.p
% 0.19/0.71 % Proof found
% 0.19/0.71 % SZS status Theorem for theBenchmark.p
% 0.56/0.71 % SZS output start Proof
% See solution above
% 0.67/0.71 % Total time : 0.132000 s
% 0.67/0.71 % SZS output end Proof
% 0.67/0.71 % Total time : 0.135000 s
%------------------------------------------------------------------------------