TSTP Solution File: RNG040-1 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : RNG040-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n005.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 13:48:40 EDT 2023
% Result : Unsatisfiable 5.84s 5.92s
% Output : CNFRefutation 5.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 36
% Syntax : Number of formulae : 122 ( 45 unt; 14 typ; 0 def)
% Number of atoms : 208 ( 35 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 196 ( 96 ~; 100 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 6 >; 6 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 210 ( 6 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
additive_identity: $i ).
tff(decl_23,type,
sum: ( $i * $i * $i ) > $o ).
tff(decl_24,type,
multiply: ( $i * $i ) > $i ).
tff(decl_25,type,
product: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
add: ( $i * $i ) > $i ).
tff(decl_27,type,
additive_inverse: $i > $i ).
tff(decl_28,type,
multiplicative_identity: $i ).
tff(decl_29,type,
h: $i > $i ).
tff(decl_30,type,
b: $i ).
tff(decl_31,type,
c: $i ).
tff(decl_32,type,
d: $i ).
tff(decl_33,type,
a: $i ).
tff(decl_34,type,
l: $i ).
tff(decl_35,type,
n: $i ).
cnf(associativity_of_addition1,axiom,
( sum(X1,X5,X6)
| ~ sum(X1,X2,X3)
| ~ sum(X2,X4,X5)
| ~ sum(X3,X4,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',associativity_of_addition1) ).
cnf(additive_identity1,axiom,
sum(additive_identity,X1,X1),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',additive_identity1) ).
cnf(right_inverse,axiom,
sum(X1,additive_inverse(X1),additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',right_inverse) ).
cnf(addition_is_well_defined,axiom,
( X3 = X4
| ~ sum(X1,X2,X3)
| ~ sum(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',addition_is_well_defined) ).
cnf(additive_identity2,axiom,
sum(X1,additive_identity,X1),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',additive_identity2) ).
cnf(closure_of_addition,axiom,
sum(X1,X2,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',closure_of_addition) ).
cnf(left_inverse,axiom,
sum(additive_inverse(X1),X1,additive_identity),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',left_inverse) ).
cnf(associativity_of_addition2,axiom,
( sum(X3,X4,X6)
| ~ sum(X1,X2,X3)
| ~ sum(X2,X4,X5)
| ~ sum(X1,X5,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',associativity_of_addition2) ).
cnf(commutativity_of_addition,axiom,
( sum(X2,X1,X3)
| ~ sum(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',commutativity_of_addition) ).
cnf(distributivity1,axiom,
( sum(X3,X5,X7)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X5)
| ~ sum(X2,X4,X6)
| ~ product(X1,X6,X7) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',distributivity1) ).
cnf(right_multiplicative_identity,hypothesis,
product(X1,multiplicative_identity,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_multiplicative_identity) ).
cnf(associativity_of_multiplication1,axiom,
( product(X1,X5,X6)
| ~ product(X1,X2,X3)
| ~ product(X2,X4,X5)
| ~ product(X3,X4,X6) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',associativity_of_multiplication1) ).
cnf(closure_of_multiplication,axiom,
product(X1,X2,multiply(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',closure_of_multiplication) ).
cnf(multiplication_is_well_defined,axiom,
( X3 = X4
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
file('/export/starexec/sandbox/benchmark/Axioms/RNG001-0.ax',multiplication_is_well_defined) ).
cnf(left_multiplicative_identity,hypothesis,
product(multiplicative_identity,X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_multiplicative_identity) ).
cnf(product_symmetry,hypothesis,
( product(X2,X1,X3)
| ~ product(X1,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_symmetry) ).
cnf(c_plus_a,negated_conjecture,
product(c,a,n),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_plus_a) ).
cnf(d_plus_a,negated_conjecture,
product(d,a,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_plus_a) ).
cnf(b_plus_c,negated_conjecture,
sum(b,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_plus_c) ).
cnf(b_plus_a,negated_conjecture,
product(b,a,l),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_plus_a) ).
cnf(clause31,hypothesis,
( product(h(X1),X1,multiplicative_identity)
| X1 = additive_identity ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
cnf(prove_equation,negated_conjecture,
~ sum(l,n,additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).
cnf(c_0_22,axiom,
( sum(X1,X5,X6)
| ~ sum(X1,X2,X3)
| ~ sum(X2,X4,X5)
| ~ sum(X3,X4,X6) ),
associativity_of_addition1 ).
cnf(c_0_23,axiom,
sum(additive_identity,X1,X1),
additive_identity1 ).
cnf(c_0_24,plain,
( sum(X1,X2,X3)
| ~ sum(X1,X4,additive_identity)
| ~ sum(X4,X3,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_25,axiom,
sum(X1,additive_inverse(X1),additive_identity),
right_inverse ).
cnf(c_0_26,axiom,
( X3 = X4
| ~ sum(X1,X2,X3)
| ~ sum(X1,X2,X4) ),
addition_is_well_defined ).
cnf(c_0_27,axiom,
sum(X1,additive_identity,X1),
additive_identity2 ).
cnf(c_0_28,plain,
( sum(X1,X2,X3)
| ~ sum(additive_inverse(X1),X3,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,axiom,
sum(X1,X2,add(X1,X2)),
closure_of_addition ).
cnf(c_0_30,plain,
( X1 = X2
| ~ sum(X2,additive_identity,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_31,plain,
sum(X1,add(additive_inverse(X1),X2),X2),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_32,axiom,
sum(additive_inverse(X1),X1,additive_identity),
left_inverse ).
cnf(c_0_33,plain,
( X1 = add(X2,X3)
| ~ sum(X2,X3,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_29]) ).
cnf(c_0_34,plain,
sum(X1,additive_identity,additive_inverse(additive_inverse(X1))),
inference(spm,[status(thm)],[c_0_28,c_0_25]) ).
cnf(c_0_35,plain,
add(X1,additive_identity) = X1,
inference(spm,[status(thm)],[c_0_30,c_0_29]) ).
cnf(c_0_36,axiom,
( sum(X3,X4,X6)
| ~ sum(X1,X2,X3)
| ~ sum(X2,X4,X5)
| ~ sum(X1,X5,X6) ),
associativity_of_addition2 ).
cnf(c_0_37,axiom,
( sum(X2,X1,X3)
| ~ sum(X1,X2,X3) ),
commutativity_of_addition ).
cnf(c_0_38,plain,
( X1 = X2
| ~ sum(X3,add(additive_inverse(X3),X2),X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_31]) ).
cnf(c_0_39,plain,
( sum(additive_inverse(X1),X2,X3)
| ~ sum(X1,X3,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_32]) ).
cnf(c_0_40,plain,
additive_inverse(additive_inverse(X1)) = X1,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_35]) ).
cnf(c_0_41,plain,
( sum(X1,additive_identity,X2)
| ~ sum(X3,X4,X2)
| ~ sum(X3,X4,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_27]) ).
cnf(c_0_42,plain,
sum(X1,X2,add(X2,X1)),
inference(spm,[status(thm)],[c_0_37,c_0_29]) ).
cnf(c_0_43,axiom,
( sum(X3,X5,X7)
| ~ product(X1,X2,X3)
| ~ product(X1,X4,X5)
| ~ sum(X2,X4,X6)
| ~ product(X1,X6,X7) ),
distributivity1 ).
cnf(c_0_44,hypothesis,
product(X1,multiplicative_identity,X1),
right_multiplicative_identity ).
cnf(c_0_45,plain,
( X1 = X2
| ~ sum(X3,X1,add(X3,X2)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]) ).
cnf(c_0_46,plain,
( sum(X1,additive_identity,add(X2,X3))
| ~ sum(X3,X2,X1) ),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,hypothesis,
( sum(X1,X2,X3)
| ~ product(X3,X4,X2)
| ~ product(X3,X5,X1)
| ~ sum(X5,X4,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_48,plain,
( additive_identity = X1
| ~ sum(X1,X2,X2) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_49,hypothesis,
( sum(X1,X2,X3)
| ~ product(X3,multiplicative_identity,X2)
| ~ product(X3,additive_identity,X1) ),
inference(spm,[status(thm)],[c_0_47,c_0_23]) ).
cnf(c_0_50,axiom,
( product(X1,X5,X6)
| ~ product(X1,X2,X3)
| ~ product(X2,X4,X5)
| ~ product(X3,X4,X6) ),
associativity_of_multiplication1 ).
cnf(c_0_51,axiom,
product(X1,X2,multiply(X1,X2)),
closure_of_multiplication ).
cnf(c_0_52,axiom,
( X3 = X4
| ~ product(X1,X2,X3)
| ~ product(X1,X2,X4) ),
multiplication_is_well_defined ).
cnf(c_0_53,hypothesis,
product(multiplicative_identity,X1,X1),
left_multiplicative_identity ).
cnf(c_0_54,hypothesis,
( product(X2,X1,X3)
| ~ product(X1,X2,X3) ),
product_symmetry ).
cnf(c_0_55,hypothesis,
( additive_identity = X1
| ~ product(X2,additive_identity,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_44])]) ).
cnf(c_0_56,negated_conjecture,
product(c,a,n),
c_plus_a ).
cnf(c_0_57,plain,
( product(X1,X2,multiply(X3,X4))
| ~ product(X5,X4,X2)
| ~ product(X1,X5,X3) ),
inference(spm,[status(thm)],[c_0_50,c_0_51]) ).
cnf(c_0_58,negated_conjecture,
product(d,a,additive_identity),
d_plus_a ).
cnf(c_0_59,hypothesis,
( X1 = X2
| ~ product(multiplicative_identity,X2,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_60,negated_conjecture,
sum(b,c,d),
b_plus_c ).
cnf(c_0_61,hypothesis,
product(X1,X2,multiply(X2,X1)),
inference(spm,[status(thm)],[c_0_54,c_0_51]) ).
cnf(c_0_62,hypothesis,
multiply(X1,additive_identity) = additive_identity,
inference(spm,[status(thm)],[c_0_55,c_0_51]) ).
cnf(c_0_63,negated_conjecture,
product(a,c,n),
inference(spm,[status(thm)],[c_0_54,c_0_56]) ).
cnf(c_0_64,negated_conjecture,
( product(X1,additive_identity,multiply(X2,a))
| ~ product(X1,d,X2) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_65,hypothesis,
multiply(multiplicative_identity,X1) = X1,
inference(spm,[status(thm)],[c_0_59,c_0_51]) ).
cnf(c_0_66,negated_conjecture,
product(b,a,l),
b_plus_a ).
cnf(c_0_67,negated_conjecture,
sum(c,b,d),
inference(spm,[status(thm)],[c_0_37,c_0_60]) ).
cnf(c_0_68,hypothesis,
product(additive_identity,X1,additive_identity),
inference(spm,[status(thm)],[c_0_61,c_0_62]) ).
cnf(c_0_69,negated_conjecture,
( product(X1,X2,n)
| ~ product(X3,c,X2)
| ~ product(X1,X3,a) ),
inference(spm,[status(thm)],[c_0_50,c_0_63]) ).
cnf(c_0_70,hypothesis,
( product(X1,additive_identity,a)
| ~ product(X1,d,multiplicative_identity) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,hypothesis,
( product(h(X1),X1,multiplicative_identity)
| X1 = additive_identity ),
clause31 ).
cnf(c_0_72,negated_conjecture,
product(a,b,l),
inference(spm,[status(thm)],[c_0_54,c_0_66]) ).
cnf(c_0_73,negated_conjecture,
( sum(X1,b,X2)
| ~ sum(X3,d,X2)
| ~ sum(X3,c,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_67]) ).
cnf(c_0_74,hypothesis,
( X1 = additive_identity
| ~ product(additive_identity,X2,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_68]) ).
cnf(c_0_75,hypothesis,
( product(X1,multiply(c,X2),n)
| ~ product(X1,X2,a) ),
inference(spm,[status(thm)],[c_0_69,c_0_61]) ).
cnf(c_0_76,hypothesis,
( d = additive_identity
| product(h(d),additive_identity,a) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_77,negated_conjecture,
( product(X1,X2,l)
| ~ product(X3,b,X2)
| ~ product(X1,X3,a) ),
inference(spm,[status(thm)],[c_0_50,c_0_72]) ).
cnf(c_0_78,negated_conjecture,
( sum(X1,b,additive_identity)
| ~ sum(additive_inverse(d),c,X1) ),
inference(spm,[status(thm)],[c_0_73,c_0_32]) ).
cnf(c_0_79,hypothesis,
( n = additive_identity
| ~ product(additive_identity,X1,a) ),
inference(spm,[status(thm)],[c_0_74,c_0_75]) ).
cnf(c_0_80,hypothesis,
( d = additive_identity
| product(additive_identity,h(d),a) ),
inference(spm,[status(thm)],[c_0_54,c_0_76]) ).
cnf(c_0_81,hypothesis,
( product(X1,multiply(b,X2),l)
| ~ product(X1,X2,a) ),
inference(spm,[status(thm)],[c_0_77,c_0_61]) ).
cnf(c_0_82,negated_conjecture,
sum(add(c,additive_inverse(d)),b,additive_identity),
inference(spm,[status(thm)],[c_0_78,c_0_42]) ).
cnf(c_0_83,negated_conjecture,
product(a,d,additive_identity),
inference(spm,[status(thm)],[c_0_54,c_0_58]) ).
cnf(c_0_84,negated_conjecture,
~ sum(l,n,additive_identity),
prove_equation ).
cnf(c_0_85,hypothesis,
( d = additive_identity
| n = additive_identity ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_86,hypothesis,
( l = additive_identity
| ~ product(additive_identity,X1,a) ),
inference(spm,[status(thm)],[c_0_74,c_0_81]) ).
cnf(c_0_87,negated_conjecture,
( sum(X1,X2,additive_identity)
| ~ sum(X1,X3,add(c,additive_inverse(d)))
| ~ sum(X3,b,X2) ),
inference(spm,[status(thm)],[c_0_22,c_0_82]) ).
cnf(c_0_88,negated_conjecture,
( sum(X1,X2,additive_identity)
| ~ product(a,X3,X2)
| ~ product(a,X4,X1)
| ~ sum(X4,X3,d) ),
inference(spm,[status(thm)],[c_0_43,c_0_83]) ).
cnf(c_0_89,negated_conjecture,
( d = additive_identity
| ~ sum(l,additive_identity,additive_identity) ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_90,hypothesis,
( d = additive_identity
| l = additive_identity ),
inference(spm,[status(thm)],[c_0_86,c_0_80]) ).
cnf(c_0_91,negated_conjecture,
( sum(c,X1,additive_identity)
| ~ sum(additive_inverse(d),b,X1) ),
inference(spm,[status(thm)],[c_0_87,c_0_29]) ).
cnf(c_0_92,plain,
( sum(X1,additive_inverse(X2),X3)
| ~ sum(X4,additive_identity,X3)
| ~ sum(X4,X2,X1) ),
inference(spm,[status(thm)],[c_0_36,c_0_25]) ).
cnf(c_0_93,negated_conjecture,
( sum(X1,l,additive_identity)
| ~ product(a,X2,X1)
| ~ sum(X2,b,d) ),
inference(spm,[status(thm)],[c_0_88,c_0_72]) ).
cnf(c_0_94,hypothesis,
d = additive_identity,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_27])]) ).
cnf(c_0_95,negated_conjecture,
( sum(c,X1,additive_identity)
| ~ sum(d,X1,b) ),
inference(spm,[status(thm)],[c_0_91,c_0_39]) ).
cnf(c_0_96,plain,
( sum(X1,additive_inverse(X2),X3)
| ~ sum(X3,X2,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_29]),c_0_35]) ).
cnf(c_0_97,negated_conjecture,
( sum(X1,l,additive_identity)
| ~ product(a,X2,X1)
| ~ sum(X2,b,additive_identity) ),
inference(rw,[status(thm)],[c_0_93,c_0_94]) ).
cnf(c_0_98,negated_conjecture,
( sum(c,X1,additive_identity)
| ~ sum(additive_identity,X1,b) ),
inference(rw,[status(thm)],[c_0_95,c_0_94]) ).
cnf(c_0_99,plain,
( X1 = X2
| ~ sum(additive_identity,X2,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_23]) ).
cnf(c_0_100,plain,
( additive_inverse(X1) = X2
| ~ sum(add(X3,X2),X1,X3) ),
inference(spm,[status(thm)],[c_0_45,c_0_96]) ).
cnf(c_0_101,negated_conjecture,
( sum(X1,l,additive_identity)
| ~ product(a,c,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_23])]) ).
cnf(c_0_102,plain,
add(additive_identity,X1) = X1,
inference(spm,[status(thm)],[c_0_99,c_0_29]) ).
cnf(c_0_103,negated_conjecture,
( X1 = n
| ~ product(a,c,X1) ),
inference(spm,[status(thm)],[c_0_52,c_0_63]) ).
cnf(c_0_104,negated_conjecture,
( additive_inverse(l) = X1
| ~ product(a,c,X1) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_101]),c_0_102]) ).
cnf(c_0_105,negated_conjecture,
multiply(a,c) = n,
inference(spm,[status(thm)],[c_0_103,c_0_51]) ).
cnf(c_0_106,negated_conjecture,
additive_inverse(l) = n,
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_51]),c_0_105]) ).
cnf(c_0_107,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_106]),c_0_84]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG040-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n005.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 : Sun Aug 27 02:13:38 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.62 start to proof: theBenchmark
% 5.84/5.92 % Version : CSE_E---1.5
% 5.84/5.92 % Problem : theBenchmark.p
% 5.84/5.92 % Proof found
% 5.84/5.92 % SZS status Theorem for theBenchmark.p
% 5.84/5.92 % SZS output start Proof
% See solution above
% 5.84/5.93 % Total time : 5.260000 s
% 5.84/5.93 % SZS output end Proof
% 5.84/5.93 % Total time : 5.264000 s
%------------------------------------------------------------------------------