TSTP Solution File: REL009-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : REL009-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n004.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 13:35:51 EDT 2023
% Result : Unsatisfiable 0.76s 0.84s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 17
% Syntax : Number of formulae : 31 ( 18 unt; 11 typ; 0 def)
% Number of atoms : 22 ( 21 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 7 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 8 ( 5 >; 3 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 30 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
join: ( $i * $i ) > $i ).
tff(decl_23,type,
complement: $i > $i ).
tff(decl_24,type,
meet: ( $i * $i ) > $i ).
tff(decl_25,type,
composition: ( $i * $i ) > $i ).
tff(decl_26,type,
one: $i ).
tff(decl_27,type,
converse: $i > $i ).
tff(decl_28,type,
top: $i ).
tff(decl_29,type,
zero: $i ).
tff(decl_30,type,
sk1: $i ).
tff(decl_31,type,
sk2: $i ).
tff(decl_32,type,
sk3: $i ).
cnf(converse_multiplicativity_10,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_multiplicativity_10) ).
cnf(composition_distributivity_7,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',composition_distributivity_7) ).
cnf(converse_additivity_9,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_additivity_9) ).
cnf(converse_idempotence_8,axiom,
converse(converse(X1)) = X1,
file('/export/starexec/sandbox2/benchmark/Axioms/REL001-0.ax',converse_idempotence_8) ).
cnf(goals_14,negated_conjecture,
join(sk1,sk2) = sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
cnf(goals_15,negated_conjecture,
( join(composition(sk1,sk3),composition(sk2,sk3)) != composition(sk2,sk3)
| join(composition(sk3,sk1),composition(sk3,sk2)) != composition(sk3,sk2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
cnf(c_0_6,axiom,
converse(composition(X1,X2)) = composition(converse(X2),converse(X1)),
converse_multiplicativity_10 ).
cnf(c_0_7,axiom,
composition(join(X1,X2),X3) = join(composition(X1,X3),composition(X2,X3)),
composition_distributivity_7 ).
cnf(c_0_8,axiom,
converse(join(X1,X2)) = join(converse(X1),converse(X2)),
converse_additivity_9 ).
cnf(c_0_9,plain,
composition(converse(X1),join(converse(X2),converse(X3))) = join(composition(converse(X1),converse(X2)),composition(converse(X1),converse(X3))),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_6,c_0_7]),c_0_8]),c_0_6]),c_0_6]),c_0_8]) ).
cnf(c_0_10,axiom,
converse(converse(X1)) = X1,
converse_idempotence_8 ).
cnf(c_0_11,plain,
composition(X1,join(converse(X2),converse(X3))) = join(composition(X1,converse(X2)),composition(X1,converse(X3))),
inference(spm,[status(thm)],[c_0_9,c_0_10]) ).
cnf(c_0_12,negated_conjecture,
join(sk1,sk2) = sk2,
goals_14 ).
cnf(c_0_13,plain,
composition(X1,join(converse(X2),X3)) = join(composition(X1,converse(X2)),composition(X1,X3)),
inference(spm,[status(thm)],[c_0_11,c_0_10]) ).
cnf(c_0_14,negated_conjecture,
( join(composition(sk1,sk3),composition(sk2,sk3)) != composition(sk2,sk3)
| join(composition(sk3,sk1),composition(sk3,sk2)) != composition(sk3,sk2) ),
goals_15 ).
cnf(c_0_15,negated_conjecture,
join(composition(sk1,X1),composition(sk2,X1)) = composition(sk2,X1),
inference(spm,[status(thm)],[c_0_7,c_0_12]) ).
cnf(c_0_16,plain,
composition(X1,join(X2,X3)) = join(composition(X1,X2),composition(X1,X3)),
inference(spm,[status(thm)],[c_0_13,c_0_10]) ).
cnf(c_0_17,negated_conjecture,
join(composition(sk3,sk1),composition(sk3,sk2)) != composition(sk3,sk2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14,c_0_15])]) ).
cnf(c_0_18,negated_conjecture,
join(composition(X1,sk1),composition(X1,sk2)) = composition(X1,sk2),
inference(spm,[status(thm)],[c_0_16,c_0_12]) ).
cnf(c_0_19,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17,c_0_18])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : REL009-1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n004.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 : Fri Aug 25 19:20:53 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.58 start to proof: theBenchmark
% 0.76/0.84 % Version : CSE_E---1.5
% 0.76/0.84 % Problem : theBenchmark.p
% 0.76/0.84 % Proof found
% 0.76/0.84 % SZS status Theorem for theBenchmark.p
% 0.76/0.84 % SZS output start Proof
% See solution above
% 0.76/0.85 % Total time : 0.247000 s
% 0.76/0.85 % SZS output end Proof
% 0.76/0.85 % Total time : 0.250000 s
%------------------------------------------------------------------------------