TSTP Solution File: NUM007-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : NUM007-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n009.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 10:26:07 EDT 2023
% Result : Unsatisfiable 256.22s 256.35s
% Output : CNFRefutation 256.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 30
% Syntax : Number of formulae : 103 ( 42 unt; 10 typ; 0 def)
% Number of atoms : 189 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 193 ( 97 ~; 96 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 18 ( 7 >; 11 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 159 ( 13 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
divides: ( $i * $i ) > $o ).
tff(decl_23,type,
multiply: ( $i * $i ) > $i ).
tff(decl_24,type,
quotient: ( $i * $i ) > $i ).
tff(decl_25,type,
gcd: ( $i * $i * $i ) > $o ).
tff(decl_26,type,
h: ( $i * $i * $i ) > $i ).
tff(decl_27,type,
lcm: ( $i * $i * $i ) > $o ).
tff(decl_28,type,
k: ( $i * $i * $i ) > $i ).
tff(decl_29,type,
a: $i ).
tff(decl_30,type,
b: $i ).
tff(decl_31,type,
c: $i ).
cnf(gcd_divides2,axiom,
( divides(X1,X2)
| ~ gcd(X2,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gcd_divides2) ).
cnf(c_is_gcd_of_a_and_b,negated_conjecture,
gcd(a,b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_gcd_of_a_and_b) ).
cnf(operand_divides_product,axiom,
divides(X1,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',operand_divides_product) ).
cnf(commutativity_of_multiply,axiom,
multiply(X1,X2) = multiply(X2,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).
cnf(transitivity_of_divides,axiom,
( divides(X1,X2)
| ~ divides(X1,X3)
| ~ divides(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_divides) ).
cnf(divides_quotient_multiply3,axiom,
( divides(quotient(X1,X2),X3)
| ~ divides(X2,X1)
| ~ divides(X1,multiply(X2,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_quotient_multiply3) ).
cnf(gcd_divides1,axiom,
( divides(X1,X2)
| ~ gcd(X3,X2,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gcd_divides1) ).
cnf(divides_quotient_multiply1,axiom,
( divides(X1,multiply(X2,X3))
| ~ divides(X2,X1)
| ~ divides(quotient(X1,X2),X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_quotient_multiply1) ).
cnf(one_divides_everything,axiom,
divides(quotient(X1,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_divides_everything) ).
cnf(prove_lcm,negated_conjecture,
~ lcm(a,b,quotient(multiply(a,b),c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lcm) ).
cnf(lcm2,axiom,
( lcm(X1,X2,X3)
| divides(X2,k(X2,X1,X3))
| ~ divides(X1,X3)
| ~ divides(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lcm2) ).
cnf(commutativity_of_k,axiom,
k(X1,X2,X3) = k(X2,X1,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_k) ).
cnf(lcm1,axiom,
( lcm(X1,X2,X3)
| divides(X1,k(X2,X1,X3))
| ~ divides(X1,X3)
| ~ divides(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lcm1) ).
cnf(reflexivity_of_divides,axiom,
divides(X1,X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_of_divides) ).
cnf(divides_and_multiply,axiom,
( divides(multiply(X1,X2),multiply(X1,X3))
| ~ divides(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_and_multiply) ).
cnf(commutativity_of_gcd,axiom,
( gcd(X2,X1,X3)
| ~ gcd(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_gcd) ).
cnf(property_of_gcd,axiom,
( gcd(multiply(X1,X2),multiply(X1,X3),multiply(X1,X4))
| ~ gcd(X2,X3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_gcd) ).
cnf(divides_quotient_multiply2,axiom,
( divides(X1,quotient(X2,X3))
| ~ divides(X3,X2)
| ~ divides(multiply(X1,X3),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divides_quotient_multiply2) ).
cnf(lcm3,axiom,
( lcm(X1,X2,X3)
| ~ divides(X1,X3)
| ~ divides(X2,X3)
| ~ divides(X3,k(X2,X1,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lcm3) ).
cnf(gcd1,axiom,
( divides(X1,X2)
| ~ divides(X1,X3)
| ~ divides(X1,X4)
| ~ gcd(X3,X4,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gcd1) ).
cnf(c_0_20,axiom,
( divides(X1,X2)
| ~ gcd(X2,X3,X1) ),
gcd_divides2 ).
cnf(c_0_21,negated_conjecture,
gcd(a,b,c),
c_is_gcd_of_a_and_b ).
cnf(c_0_22,axiom,
divides(X1,multiply(X1,X2)),
operand_divides_product ).
cnf(c_0_23,axiom,
multiply(X1,X2) = multiply(X2,X1),
commutativity_of_multiply ).
cnf(c_0_24,axiom,
( divides(X1,X2)
| ~ divides(X1,X3)
| ~ divides(X3,X2) ),
transitivity_of_divides ).
cnf(c_0_25,negated_conjecture,
divides(c,a),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_26,axiom,
( divides(quotient(X1,X2),X3)
| ~ divides(X2,X1)
| ~ divides(X1,multiply(X2,X3)) ),
divides_quotient_multiply3 ).
cnf(c_0_27,plain,
divides(X1,multiply(X2,X1)),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,negated_conjecture,
( divides(X1,a)
| ~ divides(X1,c) ),
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_29,plain,
( divides(quotient(X1,X2),X1)
| ~ divides(X2,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_27]) ).
cnf(c_0_30,axiom,
( divides(X1,X2)
| ~ gcd(X3,X2,X1) ),
gcd_divides1 ).
cnf(c_0_31,axiom,
( divides(X1,multiply(X2,X3))
| ~ divides(X2,X1)
| ~ divides(quotient(X1,X2),X3) ),
divides_quotient_multiply1 ).
cnf(c_0_32,negated_conjecture,
( divides(quotient(c,X1),a)
| ~ divides(X1,c) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_33,negated_conjecture,
divides(c,b),
inference(spm,[status(thm)],[c_0_30,c_0_21]) ).
cnf(c_0_34,negated_conjecture,
( divides(c,multiply(X1,a))
| ~ divides(X1,c) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_35,axiom,
divides(quotient(X1,X1),X2),
one_divides_everything ).
cnf(c_0_36,negated_conjecture,
( divides(X1,b)
| ~ divides(X1,c) ),
inference(spm,[status(thm)],[c_0_24,c_0_33]) ).
cnf(c_0_37,negated_conjecture,
~ lcm(a,b,quotient(multiply(a,b),c)),
prove_lcm ).
cnf(c_0_38,axiom,
( lcm(X1,X2,X3)
| divides(X2,k(X2,X1,X3))
| ~ divides(X1,X3)
| ~ divides(X2,X3) ),
lcm2 ).
cnf(c_0_39,axiom,
k(X1,X2,X3) = k(X2,X1,X3),
commutativity_of_k ).
cnf(c_0_40,axiom,
( lcm(X1,X2,X3)
| divides(X1,k(X2,X1,X3))
| ~ divides(X1,X3)
| ~ divides(X2,X3) ),
lcm1 ).
cnf(c_0_41,axiom,
divides(X1,X1),
reflexivity_of_divides ).
cnf(c_0_42,axiom,
( divides(multiply(X1,X2),multiply(X1,X3))
| ~ divides(X2,X3) ),
divides_and_multiply ).
cnf(c_0_43,negated_conjecture,
divides(c,multiply(quotient(X1,X1),a)),
inference(spm,[status(thm)],[c_0_34,c_0_35]) ).
cnf(c_0_44,negated_conjecture,
( divides(quotient(c,X1),b)
| ~ divides(X1,c) ),
inference(spm,[status(thm)],[c_0_36,c_0_29]) ).
cnf(c_0_45,negated_conjecture,
( divides(b,k(a,b,quotient(multiply(a,b),c)))
| ~ divides(b,quotient(multiply(a,b),c))
| ~ divides(a,quotient(multiply(a,b),c)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_39]) ).
cnf(c_0_46,negated_conjecture,
( divides(a,k(a,b,quotient(multiply(a,b),c)))
| ~ divides(b,quotient(multiply(a,b),c))
| ~ divides(a,quotient(multiply(a,b),c)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_40]),c_0_39]) ).
cnf(c_0_47,plain,
divides(quotient(multiply(X1,X2),X1),X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_41]),c_0_22])]) ).
cnf(c_0_48,plain,
( divides(X1,multiply(X2,X3))
| ~ divides(X1,multiply(X2,X4))
| ~ divides(X4,X3) ),
inference(spm,[status(thm)],[c_0_24,c_0_42]) ).
cnf(c_0_49,negated_conjecture,
divides(c,multiply(a,quotient(X1,X1))),
inference(spm,[status(thm)],[c_0_43,c_0_23]) ).
cnf(c_0_50,negated_conjecture,
( divides(c,multiply(X1,b))
| ~ divides(X1,c) ),
inference(spm,[status(thm)],[c_0_31,c_0_44]) ).
cnf(c_0_51,negated_conjecture,
( divides(X1,k(a,b,quotient(multiply(a,b),c)))
| ~ divides(b,quotient(multiply(a,b),c))
| ~ divides(a,quotient(multiply(a,b),c))
| ~ divides(X1,b) ),
inference(spm,[status(thm)],[c_0_24,c_0_45]) ).
cnf(c_0_52,negated_conjecture,
( divides(X1,k(a,b,quotient(multiply(a,b),c)))
| ~ divides(b,quotient(multiply(a,b),c))
| ~ divides(a,quotient(multiply(a,b),c))
| ~ divides(X1,a) ),
inference(spm,[status(thm)],[c_0_24,c_0_46]) ).
cnf(c_0_53,negated_conjecture,
divides(quotient(multiply(X1,c),X1),a),
inference(spm,[status(thm)],[c_0_28,c_0_47]) ).
cnf(c_0_54,negated_conjecture,
divides(c,multiply(a,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_35])]) ).
cnf(c_0_55,negated_conjecture,
divides(c,multiply(quotient(X1,X1),b)),
inference(spm,[status(thm)],[c_0_50,c_0_35]) ).
cnf(c_0_56,negated_conjecture,
( divides(X1,k(a,b,quotient(multiply(a,b),c)))
| ~ divides(b,quotient(multiply(a,b),c))
| ~ divides(a,quotient(multiply(a,b),c))
| ~ divides(X2,b)
| ~ divides(X1,X2) ),
inference(spm,[status(thm)],[c_0_24,c_0_51]) ).
cnf(c_0_57,axiom,
( gcd(X2,X1,X3)
| ~ gcd(X1,X2,X3) ),
commutativity_of_gcd ).
cnf(c_0_58,axiom,
( gcd(multiply(X1,X2),multiply(X1,X3),multiply(X1,X4))
| ~ gcd(X2,X3,X4) ),
property_of_gcd ).
cnf(c_0_59,negated_conjecture,
( divides(X1,multiply(X2,k(a,b,quotient(multiply(a,b),c))))
| ~ divides(b,quotient(multiply(a,b),c))
| ~ divides(a,quotient(multiply(a,b),c))
| ~ divides(quotient(X1,X2),a)
| ~ divides(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_52]) ).
cnf(c_0_60,plain,
divides(quotient(multiply(X1,X2),X2),X1),
inference(spm,[status(thm)],[c_0_47,c_0_23]) ).
cnf(c_0_61,axiom,
( divides(X1,quotient(X2,X3))
| ~ divides(X3,X2)
| ~ divides(multiply(X1,X3),X2) ),
divides_quotient_multiply2 ).
cnf(c_0_62,negated_conjecture,
divides(multiply(X1,c),multiply(X1,a)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_53]),c_0_22])]) ).
cnf(c_0_63,negated_conjecture,
divides(c,multiply(X1,a)),
inference(spm,[status(thm)],[c_0_54,c_0_23]) ).
cnf(c_0_64,negated_conjecture,
divides(c,multiply(b,quotient(X1,X1))),
inference(spm,[status(thm)],[c_0_55,c_0_23]) ).
cnf(c_0_65,negated_conjecture,
( divides(X1,k(a,b,quotient(multiply(a,b),c)))
| ~ divides(b,quotient(multiply(a,b),c))
| ~ divides(a,quotient(multiply(a,b),c))
| ~ divides(X1,quotient(multiply(X2,b),X2)) ),
inference(spm,[status(thm)],[c_0_56,c_0_47]) ).
cnf(c_0_66,plain,
( gcd(multiply(X1,X2),multiply(X1,X3),multiply(X1,X4))
| ~ gcd(X3,X2,X4) ),
inference(spm,[status(thm)],[c_0_57,c_0_58]) ).
cnf(c_0_67,negated_conjecture,
gcd(b,a,c),
inference(spm,[status(thm)],[c_0_57,c_0_21]) ).
cnf(c_0_68,negated_conjecture,
( divides(multiply(a,X1),multiply(X1,k(a,b,quotient(multiply(a,b),c))))
| ~ divides(b,quotient(multiply(a,b),c))
| ~ divides(a,quotient(multiply(a,b),c)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_27])]) ).
cnf(c_0_69,negated_conjecture,
divides(X1,quotient(multiply(X1,a),c)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_62]),c_0_63])]) ).
cnf(c_0_70,negated_conjecture,
divides(quotient(multiply(X1,c),X1),b),
inference(spm,[status(thm)],[c_0_36,c_0_47]) ).
cnf(c_0_71,negated_conjecture,
divides(c,multiply(b,X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_64]),c_0_35])]) ).
cnf(c_0_72,negated_conjecture,
( divides(quotient(multiply(X1,b),X1),k(a,b,quotient(multiply(a,b),c)))
| ~ divides(b,quotient(multiply(a,b),c))
| ~ divides(a,quotient(multiply(a,b),c)) ),
inference(spm,[status(thm)],[c_0_65,c_0_41]) ).
cnf(c_0_73,negated_conjecture,
gcd(multiply(X1,a),multiply(X1,b),multiply(X1,c)),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_74,negated_conjecture,
( divides(multiply(a,X1),multiply(k(a,b,quotient(multiply(a,b),c)),X1))
| ~ divides(b,quotient(multiply(a,b),c))
| ~ divides(a,quotient(multiply(a,b),c)) ),
inference(spm,[status(thm)],[c_0_68,c_0_23]) ).
cnf(c_0_75,negated_conjecture,
divides(X1,quotient(multiply(a,X1),c)),
inference(spm,[status(thm)],[c_0_69,c_0_23]) ).
cnf(c_0_76,negated_conjecture,
divides(multiply(X1,c),multiply(X1,b)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_70]),c_0_22])]) ).
cnf(c_0_77,negated_conjecture,
divides(c,multiply(X1,b)),
inference(spm,[status(thm)],[c_0_71,c_0_23]) ).
cnf(c_0_78,negated_conjecture,
( divides(multiply(X1,b),multiply(X1,k(a,b,quotient(multiply(a,b),c))))
| ~ divides(b,quotient(multiply(a,b),c))
| ~ divides(a,quotient(multiply(a,b),c)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_72]),c_0_22])]) ).
cnf(c_0_79,axiom,
( lcm(X1,X2,X3)
| ~ divides(X1,X3)
| ~ divides(X2,X3)
| ~ divides(X3,k(X2,X1,X3)) ),
lcm3 ).
cnf(c_0_80,axiom,
( divides(X1,X2)
| ~ divides(X1,X3)
| ~ divides(X1,X4)
| ~ gcd(X3,X4,X2) ),
gcd1 ).
cnf(c_0_81,negated_conjecture,
gcd(multiply(X1,a),multiply(X1,b),multiply(c,X1)),
inference(spm,[status(thm)],[c_0_73,c_0_23]) ).
cnf(c_0_82,negated_conjecture,
( divides(multiply(a,X1),multiply(k(a,b,quotient(multiply(a,b),c)),X1))
| ~ divides(a,quotient(multiply(a,b),c)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_75])]) ).
cnf(c_0_83,negated_conjecture,
divides(X1,quotient(multiply(X1,b),c)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_76]),c_0_77])]) ).
cnf(c_0_84,negated_conjecture,
( divides(multiply(X1,b),multiply(X1,k(a,b,quotient(multiply(a,b),c))))
| ~ divides(a,quotient(multiply(a,b),c)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_75])]) ).
cnf(c_0_85,negated_conjecture,
( ~ divides(quotient(multiply(a,b),c),k(a,b,quotient(multiply(a,b),c)))
| ~ divides(b,quotient(multiply(a,b),c))
| ~ divides(a,quotient(multiply(a,b),c)) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_79]),c_0_39]) ).
cnf(c_0_86,negated_conjecture,
( divides(X1,multiply(c,X2))
| ~ divides(X1,multiply(X2,b))
| ~ divides(X1,multiply(X2,a)) ),
inference(spm,[status(thm)],[c_0_80,c_0_81]) ).
cnf(c_0_87,negated_conjecture,
divides(multiply(a,X1),multiply(k(a,b,quotient(multiply(a,b),c)),X1)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_83])]) ).
cnf(c_0_88,negated_conjecture,
divides(multiply(X1,b),multiply(X1,k(a,b,quotient(multiply(a,b),c)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_83])]) ).
cnf(c_0_89,negated_conjecture,
( ~ divides(quotient(multiply(a,b),c),k(a,b,quotient(multiply(a,b),c)))
| ~ divides(a,quotient(multiply(a,b),c)) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_75])]) ).
cnf(c_0_90,negated_conjecture,
divides(multiply(a,b),multiply(c,k(a,b,quotient(multiply(a,b),c)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_23]),c_0_88])]) ).
cnf(c_0_91,negated_conjecture,
~ divides(quotient(multiply(a,b),c),k(a,b,quotient(multiply(a,b),c))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_83])]) ).
cnf(c_0_92,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_90]),c_0_77])]),c_0_91]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 17:20:51 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 256.22/256.35 % Version : CSE_E---1.5
% 256.22/256.35 % Problem : theBenchmark.p
% 256.22/256.35 % Proof found
% 256.22/256.35 % SZS status Theorem for theBenchmark.p
% 256.22/256.35 % SZS output start Proof
% See solution above
% 256.22/256.36 % Total time : 255.738000 s
% 256.22/256.36 % SZS output end Proof
% 256.22/256.36 % Total time : 255.753000 s
%------------------------------------------------------------------------------