TSTP Solution File: LAT045-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LAT045-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/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 05:59:20 EDT 2023
% Result : Unsatisfiable 0.19s 0.62s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 13
% Syntax : Number of formulae : 25 ( 18 unt; 7 typ; 0 def)
% Number of atoms : 18 ( 17 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 : 4 ( 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 : 31 ( 2 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,
a: $i ).
tff(decl_28,type,
b: $i ).
cnf(modular_law,axiom,
join(X1,meet(X2,join(X1,X3))) = meet(join(X1,X2),join(X1,X3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modular_law) ).
cnf(commutativity_of_join,axiom,
join(X1,X2) = join(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_join) ).
cnf(invertability1,axiom,
join(complement(X1),X1) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',invertability1) ).
cnf(commutativity_of_meet,axiom,
meet(X1,X2) = meet(X2,X1),
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',commutativity_of_meet) ).
cnf(absorption1,axiom,
meet(X1,join(X1,X2)) = X1,
file('/export/starexec/sandbox/benchmark/Axioms/LAT001-0.ax',absorption1) ).
cnf(prove_orthomodular_law,negated_conjecture,
join(a,meet(complement(a),join(a,b))) != join(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_orthomodular_law) ).
cnf(c_0_6,axiom,
join(X1,meet(X2,join(X1,X3))) = meet(join(X1,X2),join(X1,X3)),
modular_law ).
cnf(c_0_7,axiom,
join(X1,X2) = join(X2,X1),
commutativity_of_join ).
cnf(c_0_8,axiom,
join(complement(X1),X1) = n1,
invertability1 ).
cnf(c_0_9,axiom,
meet(X1,X2) = meet(X2,X1),
commutativity_of_meet ).
cnf(c_0_10,plain,
meet(join(X1,X2),join(X3,X1)) = join(X1,meet(X2,join(X3,X1))),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_11,plain,
meet(join(X1,X2),join(X2,X3)) = join(X2,meet(X1,join(X2,X3))),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_12,axiom,
meet(X1,join(X1,X2)) = X1,
absorption1 ).
cnf(c_0_13,plain,
join(X1,complement(X1)) = n1,
inference(rw,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_14,negated_conjecture,
join(a,meet(complement(a),join(a,b))) != join(a,b),
prove_orthomodular_law ).
cnf(c_0_15,plain,
join(X1,meet(X2,join(X1,X3))) = join(X1,meet(X3,join(X2,X1))),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_9,c_0_10]),c_0_11]) ).
cnf(c_0_16,plain,
meet(X1,n1) = X1,
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15]),c_0_7]),c_0_13]),c_0_16])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : LAT045-1 : TPTP v8.1.2. Released v2.5.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.14/0.35 % Computer : n014.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 07:44:33 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.19/0.58 start to proof: theBenchmark
% 0.19/0.62 % Version : CSE_E---1.5
% 0.19/0.62 % Problem : theBenchmark.p
% 0.19/0.62 % Proof found
% 0.19/0.62 % SZS status Theorem for theBenchmark.p
% 0.19/0.62 % SZS output start Proof
% See solution above
% 0.19/0.62 % Total time : 0.033000 s
% 0.19/0.62 % SZS output end Proof
% 0.19/0.62 % Total time : 0.035000 s
%------------------------------------------------------------------------------