TSTP Solution File: PUZ028-5 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : PUZ028-5 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n026.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 13:12:12 EDT 2023
% Result : Unsatisfiable 0.21s 0.64s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 59
% Number of leaves : 25
% Syntax : Number of formulae : 217 ( 27 unt; 10 typ; 0 def)
% Number of atoms : 575 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 544 ( 176 ~; 368 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 4 >; 3 *; 0 +; 0 <<)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 96 ( 0 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
one: $i ).
tff(decl_23,type,
person: $i > $o ).
tff(decl_24,type,
two: $i ).
tff(decl_25,type,
three: $i ).
tff(decl_26,type,
four: $i ).
tff(decl_27,type,
five: $i ).
tff(decl_28,type,
six: $i ).
tff(decl_29,type,
after: ( $i * $i ) > $o ).
tff(decl_30,type,
familiar: ( $i * $i ) > $o ).
tff(decl_31,type,
not_familiar: ( $i * $i ) > $o ).
cnf(transitivity_of_order,axiom,
( after(X1,X2)
| ~ after(X1,X3)
| ~ after(X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_of_order) ).
cnf(order5,axiom,
after(five,six),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order5) ).
cnf(order4,axiom,
after(four,five),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order4) ).
cnf(familiar_or_not,axiom,
( familiar(X1,X2)
| not_familiar(X1,X2)
| ~ person(X1)
| ~ person(X2)
| ~ after(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',familiar_or_not) ).
cnf(person6,axiom,
person(six),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person6) ).
cnf(order3,axiom,
after(three,four),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order3) ).
cnf(person4,axiom,
person(four),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person4) ).
cnf(person5,axiom,
person(five),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person5) ).
cnf(three_not_familiar,negated_conjecture,
( ~ not_familiar(X1,X2)
| ~ not_familiar(X2,X3)
| ~ not_familiar(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',three_not_familiar) ).
cnf(order2,axiom,
after(two,three),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order2) ).
cnf(person2,axiom,
person(two),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person2) ).
cnf(person3,axiom,
person(three),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person3) ).
cnf(order1,axiom,
after(one,two),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order1) ).
cnf(person1,axiom,
person(one),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',person1) ).
cnf(three_familiar,negated_conjecture,
( ~ familiar(X1,X2)
| ~ familiar(X2,X3)
| ~ familiar(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',three_familiar) ).
cnf(c_0_15,axiom,
( after(X1,X2)
| ~ after(X1,X3)
| ~ after(X3,X2) ),
transitivity_of_order ).
cnf(c_0_16,axiom,
after(five,six),
order5 ).
cnf(c_0_17,plain,
( after(X1,six)
| ~ after(X1,five) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
cnf(c_0_18,axiom,
after(four,five),
order4 ).
cnf(c_0_19,plain,
( after(X1,six)
| ~ after(X2,five)
| ~ after(X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_17]) ).
cnf(c_0_20,plain,
( after(X1,five)
| ~ after(X1,four) ),
inference(spm,[status(thm)],[c_0_15,c_0_18]) ).
cnf(c_0_21,axiom,
( familiar(X1,X2)
| not_familiar(X1,X2)
| ~ person(X1)
| ~ person(X2)
| ~ after(X1,X2) ),
familiar_or_not ).
cnf(c_0_22,axiom,
person(six),
person6 ).
cnf(c_0_23,plain,
( after(X1,six)
| ~ after(X2,four)
| ~ after(X1,X2) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_24,axiom,
after(three,four),
order3 ).
cnf(c_0_25,plain,
( after(X1,five)
| ~ after(X2,four)
| ~ after(X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_20]) ).
cnf(c_0_26,plain,
( not_familiar(X1,six)
| familiar(X1,six)
| ~ after(X1,five)
| ~ person(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_17]),c_0_22])]) ).
cnf(c_0_27,axiom,
person(four),
person4 ).
cnf(c_0_28,plain,
( after(X1,six)
| ~ after(X1,three) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_29,plain,
( after(X1,six)
| ~ after(X1,four) ),
inference(spm,[status(thm)],[c_0_19,c_0_18]) ).
cnf(c_0_30,plain,
( after(X1,four)
| ~ after(X1,three) ),
inference(spm,[status(thm)],[c_0_15,c_0_24]) ).
cnf(c_0_31,axiom,
person(five),
person5 ).
cnf(c_0_32,plain,
( after(X1,five)
| ~ after(X1,three) ),
inference(spm,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_33,negated_conjecture,
( ~ not_familiar(X1,X2)
| ~ not_familiar(X2,X3)
| ~ not_familiar(X1,X3) ),
three_not_familiar ).
cnf(c_0_34,plain,
( not_familiar(four,six)
| familiar(four,six) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26,c_0_18]),c_0_27])]) ).
cnf(c_0_35,plain,
( not_familiar(X1,six)
| familiar(X1,six)
| ~ after(X1,three)
| ~ person(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_28]),c_0_22])]) ).
cnf(c_0_36,axiom,
after(two,three),
order2 ).
cnf(c_0_37,axiom,
person(two),
person2 ).
cnf(c_0_38,plain,
( not_familiar(X1,six)
| familiar(X1,six)
| ~ after(X1,four)
| ~ person(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_29]),c_0_22])]) ).
cnf(c_0_39,axiom,
person(three),
person3 ).
cnf(c_0_40,plain,
( after(X1,four)
| ~ after(X2,three)
| ~ after(X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_30]) ).
cnf(c_0_41,plain,
( not_familiar(four,five)
| familiar(four,five) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_18]),c_0_31]),c_0_27])]) ).
cnf(c_0_42,plain,
( not_familiar(X1,five)
| familiar(X1,five)
| ~ after(X1,three)
| ~ person(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_32]),c_0_31])]) ).
cnf(c_0_43,plain,
( not_familiar(X1,five)
| familiar(X1,five)
| ~ after(X1,four)
| ~ person(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_20]),c_0_31])]) ).
cnf(c_0_44,negated_conjecture,
( familiar(four,six)
| ~ not_familiar(X1,six)
| ~ not_familiar(X1,four) ),
inference(spm,[status(thm)],[c_0_33,c_0_34]) ).
cnf(c_0_45,plain,
( not_familiar(two,six)
| familiar(two,six) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_37])]) ).
cnf(c_0_46,plain,
( not_familiar(X1,four)
| familiar(X1,four)
| ~ after(X1,three)
| ~ person(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_30]),c_0_27])]) ).
cnf(c_0_47,plain,
( not_familiar(three,six)
| familiar(three,six) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_24]),c_0_39])]) ).
cnf(c_0_48,plain,
( not_familiar(three,four)
| familiar(three,four) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_24]),c_0_27]),c_0_39])]) ).
cnf(c_0_49,plain,
( after(X1,five)
| ~ after(X2,three)
| ~ after(X1,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_30]) ).
cnf(c_0_50,plain,
( after(X1,four)
| ~ after(X1,two) ),
inference(spm,[status(thm)],[c_0_40,c_0_36]) ).
cnf(c_0_51,plain,
( after(X1,three)
| ~ after(X1,two) ),
inference(spm,[status(thm)],[c_0_15,c_0_36]) ).
cnf(c_0_52,negated_conjecture,
( familiar(four,five)
| ~ not_familiar(X1,five)
| ~ not_familiar(X1,four) ),
inference(spm,[status(thm)],[c_0_33,c_0_41]) ).
cnf(c_0_53,plain,
( not_familiar(two,five)
| familiar(two,five) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_36]),c_0_37])]) ).
cnf(c_0_54,plain,
( not_familiar(three,five)
| familiar(three,five) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_24]),c_0_39])]) ).
cnf(c_0_55,negated_conjecture,
( familiar(two,six)
| familiar(four,six)
| ~ not_familiar(two,four) ),
inference(spm,[status(thm)],[c_0_44,c_0_45]) ).
cnf(c_0_56,plain,
( not_familiar(two,four)
| familiar(two,four) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_36]),c_0_37])]) ).
cnf(c_0_57,negated_conjecture,
( familiar(three,six)
| ~ not_familiar(X1,six)
| ~ not_familiar(X1,three) ),
inference(spm,[status(thm)],[c_0_33,c_0_47]) ).
cnf(c_0_58,negated_conjecture,
( familiar(three,four)
| ~ not_familiar(X1,four)
| ~ not_familiar(X1,three) ),
inference(spm,[status(thm)],[c_0_33,c_0_48]) ).
cnf(c_0_59,plain,
( after(X1,five)
| ~ after(X1,two) ),
inference(spm,[status(thm)],[c_0_49,c_0_36]) ).
cnf(c_0_60,plain,
( not_familiar(X1,four)
| familiar(X1,four)
| ~ after(X1,two)
| ~ person(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_50]),c_0_27])]) ).
cnf(c_0_61,axiom,
after(one,two),
order1 ).
cnf(c_0_62,axiom,
person(one),
person1 ).
cnf(c_0_63,plain,
( not_familiar(two,three)
| familiar(two,three) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_36]),c_0_39]),c_0_37])]) ).
cnf(c_0_64,plain,
( not_familiar(X1,three)
| familiar(X1,three)
| ~ after(X1,two)
| ~ person(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_51]),c_0_39])]) ).
cnf(c_0_65,negated_conjecture,
( familiar(two,five)
| familiar(four,five)
| ~ not_familiar(two,four) ),
inference(spm,[status(thm)],[c_0_52,c_0_53]) ).
cnf(c_0_66,negated_conjecture,
( familiar(three,five)
| ~ not_familiar(X1,five)
| ~ not_familiar(X1,three) ),
inference(spm,[status(thm)],[c_0_33,c_0_54]) ).
cnf(c_0_67,negated_conjecture,
( ~ familiar(X1,X2)
| ~ familiar(X2,X3)
| ~ familiar(X1,X3) ),
three_familiar ).
cnf(c_0_68,negated_conjecture,
( familiar(two,four)
| familiar(four,six)
| familiar(two,six) ),
inference(spm,[status(thm)],[c_0_55,c_0_56]) ).
cnf(c_0_69,negated_conjecture,
( familiar(two,six)
| familiar(three,six)
| ~ not_familiar(two,three) ),
inference(spm,[status(thm)],[c_0_57,c_0_45]) ).
cnf(c_0_70,negated_conjecture,
( familiar(two,four)
| familiar(three,four)
| ~ not_familiar(two,three) ),
inference(spm,[status(thm)],[c_0_58,c_0_56]) ).
cnf(c_0_71,plain,
( not_familiar(five,six)
| familiar(five,six) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_16]),c_0_22]),c_0_31])]) ).
cnf(c_0_72,plain,
( not_familiar(X1,six)
| familiar(X1,six)
| ~ after(X1,two)
| ~ person(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_59]) ).
cnf(c_0_73,negated_conjecture,
( familiar(two,four)
| ~ not_familiar(X1,four)
| ~ not_familiar(X1,two) ),
inference(spm,[status(thm)],[c_0_33,c_0_56]) ).
cnf(c_0_74,plain,
( not_familiar(one,four)
| familiar(one,four) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]) ).
cnf(c_0_75,negated_conjecture,
( familiar(two,three)
| ~ not_familiar(X1,three)
| ~ not_familiar(X1,two) ),
inference(spm,[status(thm)],[c_0_33,c_0_63]) ).
cnf(c_0_76,plain,
( not_familiar(one,three)
| familiar(one,three) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_61]),c_0_62])]) ).
cnf(c_0_77,negated_conjecture,
( familiar(two,four)
| familiar(four,five)
| familiar(two,five) ),
inference(spm,[status(thm)],[c_0_65,c_0_56]) ).
cnf(c_0_78,negated_conjecture,
( familiar(two,five)
| familiar(three,five)
| ~ not_familiar(two,three) ),
inference(spm,[status(thm)],[c_0_66,c_0_53]) ).
cnf(c_0_79,negated_conjecture,
( familiar(two,six)
| familiar(two,four)
| ~ familiar(X1,six)
| ~ familiar(X1,four) ),
inference(spm,[status(thm)],[c_0_67,c_0_68]) ).
cnf(c_0_80,negated_conjecture,
( familiar(two,three)
| familiar(three,six)
| familiar(two,six) ),
inference(spm,[status(thm)],[c_0_69,c_0_63]) ).
cnf(c_0_81,negated_conjecture,
( familiar(two,three)
| familiar(three,four)
| familiar(two,four) ),
inference(spm,[status(thm)],[c_0_70,c_0_63]) ).
cnf(c_0_82,negated_conjecture,
( familiar(five,six)
| ~ not_familiar(X1,six)
| ~ not_familiar(X1,five) ),
inference(spm,[status(thm)],[c_0_33,c_0_71]) ).
cnf(c_0_83,plain,
( not_familiar(one,six)
| familiar(one,six) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_61]),c_0_62])]) ).
cnf(c_0_84,plain,
( not_familiar(X1,five)
| familiar(X1,five)
| ~ after(X1,two)
| ~ person(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_59]),c_0_31])]) ).
cnf(c_0_85,negated_conjecture,
( familiar(one,four)
| familiar(two,four)
| ~ not_familiar(one,two) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_86,plain,
( not_familiar(one,two)
| familiar(one,two) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_21,c_0_61]),c_0_37]),c_0_62])]) ).
cnf(c_0_87,negated_conjecture,
( familiar(one,three)
| familiar(two,three)
| ~ not_familiar(one,two) ),
inference(spm,[status(thm)],[c_0_75,c_0_76]) ).
cnf(c_0_88,negated_conjecture,
( familiar(two,five)
| familiar(two,four)
| ~ familiar(X1,five)
| ~ familiar(X1,four) ),
inference(spm,[status(thm)],[c_0_67,c_0_77]) ).
cnf(c_0_89,negated_conjecture,
( familiar(two,three)
| familiar(three,five)
| familiar(two,five) ),
inference(spm,[status(thm)],[c_0_78,c_0_63]) ).
cnf(c_0_90,negated_conjecture,
( familiar(two,three)
| familiar(two,four)
| familiar(two,six) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_81]) ).
cnf(c_0_91,negated_conjecture,
( familiar(one,six)
| familiar(five,six)
| ~ not_familiar(one,five) ),
inference(spm,[status(thm)],[c_0_82,c_0_83]) ).
cnf(c_0_92,plain,
( not_familiar(one,five)
| familiar(one,five) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_84,c_0_61]),c_0_62])]) ).
cnf(c_0_93,negated_conjecture,
( familiar(two,four)
| familiar(two,three)
| ~ familiar(X1,four)
| ~ familiar(X1,three) ),
inference(spm,[status(thm)],[c_0_67,c_0_81]) ).
cnf(c_0_94,negated_conjecture,
( familiar(one,two)
| familiar(two,four)
| familiar(one,four) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_95,negated_conjecture,
( familiar(one,two)
| familiar(two,three)
| familiar(one,three) ),
inference(spm,[status(thm)],[c_0_87,c_0_86]) ).
cnf(c_0_96,negated_conjecture,
( familiar(two,three)
| familiar(two,four)
| familiar(two,five) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_89]),c_0_81]) ).
cnf(c_0_97,negated_conjecture,
( familiar(two,four)
| familiar(two,three)
| ~ familiar(X1,six)
| ~ familiar(X1,two) ),
inference(spm,[status(thm)],[c_0_67,c_0_90]) ).
cnf(c_0_98,negated_conjecture,
( familiar(one,five)
| familiar(five,six)
| familiar(one,six) ),
inference(spm,[status(thm)],[c_0_91,c_0_92]) ).
cnf(c_0_99,negated_conjecture,
( familiar(one,two)
| familiar(two,three)
| familiar(two,four) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_94]),c_0_95]) ).
cnf(c_0_100,negated_conjecture,
( familiar(two,six)
| familiar(five,six)
| ~ not_familiar(two,five) ),
inference(spm,[status(thm)],[c_0_82,c_0_45]) ).
cnf(c_0_101,negated_conjecture,
( familiar(two,four)
| familiar(two,three)
| ~ familiar(X1,five)
| ~ familiar(X1,two) ),
inference(spm,[status(thm)],[c_0_67,c_0_96]) ).
cnf(c_0_102,negated_conjecture,
( familiar(five,six)
| familiar(one,five)
| familiar(two,three)
| familiar(two,four) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99]) ).
cnf(c_0_103,negated_conjecture,
( familiar(two,five)
| familiar(five,six)
| familiar(two,six) ),
inference(spm,[status(thm)],[c_0_100,c_0_53]) ).
cnf(c_0_104,negated_conjecture,
( familiar(two,five)
| ~ not_familiar(X1,five)
| ~ not_familiar(X1,two) ),
inference(spm,[status(thm)],[c_0_33,c_0_53]) ).
cnf(c_0_105,negated_conjecture,
( familiar(five,six)
| familiar(two,three)
| familiar(two,four) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_102]),c_0_99]) ).
cnf(c_0_106,negated_conjecture,
( familiar(two,six)
| familiar(two,five)
| ~ familiar(X1,six)
| ~ familiar(X1,five) ),
inference(spm,[status(thm)],[c_0_67,c_0_103]) ).
cnf(c_0_107,negated_conjecture,
( familiar(one,five)
| familiar(two,five)
| ~ not_familiar(one,two) ),
inference(spm,[status(thm)],[c_0_104,c_0_92]) ).
cnf(c_0_108,negated_conjecture,
( familiar(two,four)
| familiar(two,three)
| ~ familiar(X1,six)
| ~ familiar(X1,five) ),
inference(spm,[status(thm)],[c_0_67,c_0_105]) ).
cnf(c_0_109,negated_conjecture,
( familiar(two,three)
| familiar(two,five)
| familiar(two,six) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_80]),c_0_89]) ).
cnf(c_0_110,negated_conjecture,
( familiar(one,six)
| familiar(four,six)
| ~ not_familiar(one,four) ),
inference(spm,[status(thm)],[c_0_44,c_0_83]) ).
cnf(c_0_111,negated_conjecture,
( familiar(two,five)
| familiar(two,three)
| ~ familiar(X1,five)
| ~ familiar(X1,three) ),
inference(spm,[status(thm)],[c_0_67,c_0_89]) ).
cnf(c_0_112,negated_conjecture,
( familiar(one,two)
| familiar(two,five)
| familiar(one,five) ),
inference(spm,[status(thm)],[c_0_107,c_0_86]) ).
cnf(c_0_113,negated_conjecture,
( familiar(two,three)
| familiar(two,four) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_90]),c_0_96]) ).
cnf(c_0_114,negated_conjecture,
( familiar(two,five)
| familiar(two,three)
| ~ familiar(X1,six)
| ~ familiar(X1,two) ),
inference(spm,[status(thm)],[c_0_67,c_0_109]) ).
cnf(c_0_115,negated_conjecture,
( familiar(one,four)
| familiar(four,six)
| familiar(one,six) ),
inference(spm,[status(thm)],[c_0_110,c_0_74]) ).
cnf(c_0_116,negated_conjecture,
( familiar(one,two)
| familiar(two,three)
| familiar(two,five) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_111,c_0_112]),c_0_95]) ).
cnf(c_0_117,negated_conjecture,
( familiar(two,three)
| ~ familiar(X1,four)
| ~ familiar(X1,two) ),
inference(spm,[status(thm)],[c_0_67,c_0_113]) ).
cnf(c_0_118,negated_conjecture,
( familiar(four,six)
| familiar(one,four)
| familiar(two,three)
| familiar(two,five) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]) ).
cnf(c_0_119,negated_conjecture,
( familiar(two,five)
| familiar(four,six)
| familiar(two,three) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_117,c_0_118]),c_0_116]) ).
cnf(c_0_120,negated_conjecture,
( familiar(two,three)
| familiar(two,five)
| ~ familiar(X1,six)
| ~ familiar(X1,four) ),
inference(spm,[status(thm)],[c_0_67,c_0_119]) ).
cnf(c_0_121,negated_conjecture,
( familiar(two,six)
| ~ not_familiar(X1,six)
| ~ not_familiar(X1,two) ),
inference(spm,[status(thm)],[c_0_33,c_0_45]) ).
cnf(c_0_122,negated_conjecture,
( familiar(two,five)
| familiar(two,three) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_109]),c_0_113]) ).
cnf(c_0_123,negated_conjecture,
( familiar(one,five)
| familiar(four,five)
| ~ not_familiar(one,four) ),
inference(spm,[status(thm)],[c_0_52,c_0_92]) ).
cnf(c_0_124,negated_conjecture,
( familiar(one,six)
| familiar(two,six)
| ~ not_familiar(one,two) ),
inference(spm,[status(thm)],[c_0_121,c_0_83]) ).
cnf(c_0_125,negated_conjecture,
( familiar(two,three)
| ~ familiar(X1,five)
| ~ familiar(X1,two) ),
inference(spm,[status(thm)],[c_0_67,c_0_122]) ).
cnf(c_0_126,negated_conjecture,
( familiar(one,four)
| familiar(four,five)
| familiar(one,five) ),
inference(spm,[status(thm)],[c_0_123,c_0_74]) ).
cnf(c_0_127,negated_conjecture,
( familiar(two,six)
| familiar(two,three)
| ~ familiar(X1,six)
| ~ familiar(X1,three) ),
inference(spm,[status(thm)],[c_0_67,c_0_80]) ).
cnf(c_0_128,negated_conjecture,
( familiar(one,two)
| familiar(two,six)
| familiar(one,six) ),
inference(spm,[status(thm)],[c_0_124,c_0_86]) ).
cnf(c_0_129,negated_conjecture,
( familiar(four,five)
| familiar(two,three)
| ~ familiar(one,two) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_126]),c_0_117]) ).
cnf(c_0_130,negated_conjecture,
( familiar(one,two)
| familiar(two,three)
| familiar(two,six) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_128]),c_0_95]) ).
cnf(c_0_131,negated_conjecture,
( familiar(four,six)
| familiar(five,six)
| ~ not_familiar(four,five) ),
inference(spm,[status(thm)],[c_0_82,c_0_34]) ).
cnf(c_0_132,negated_conjecture,
( familiar(two,six)
| familiar(two,three)
| familiar(four,five) ),
inference(spm,[status(thm)],[c_0_129,c_0_130]) ).
cnf(c_0_133,negated_conjecture,
( familiar(four,five)
| familiar(five,six)
| familiar(four,six) ),
inference(spm,[status(thm)],[c_0_131,c_0_41]) ).
cnf(c_0_134,negated_conjecture,
( familiar(two,three)
| familiar(two,six)
| ~ familiar(X1,five)
| ~ familiar(X1,four) ),
inference(spm,[status(thm)],[c_0_67,c_0_132]) ).
cnf(c_0_135,negated_conjecture,
( familiar(four,six)
| familiar(four,five)
| ~ familiar(X1,six)
| ~ familiar(X1,five) ),
inference(spm,[status(thm)],[c_0_67,c_0_133]) ).
cnf(c_0_136,negated_conjecture,
( familiar(two,six)
| familiar(two,three) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_134,c_0_122]),c_0_113]) ).
cnf(c_0_137,negated_conjecture,
( familiar(two,three)
| familiar(four,five)
| familiar(four,six) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_135,c_0_136]),c_0_122]) ).
cnf(c_0_138,negated_conjecture,
( familiar(four,five)
| familiar(two,three)
| ~ familiar(X1,six)
| ~ familiar(X1,four) ),
inference(spm,[status(thm)],[c_0_67,c_0_137]) ).
cnf(c_0_139,negated_conjecture,
( familiar(three,six)
| familiar(five,six)
| ~ not_familiar(three,five) ),
inference(spm,[status(thm)],[c_0_82,c_0_47]) ).
cnf(c_0_140,negated_conjecture,
( familiar(two,three)
| familiar(four,five) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_136]),c_0_113]) ).
cnf(c_0_141,negated_conjecture,
( familiar(three,five)
| familiar(four,five)
| ~ not_familiar(three,four) ),
inference(spm,[status(thm)],[c_0_52,c_0_54]) ).
cnf(c_0_142,negated_conjecture,
( familiar(three,five)
| familiar(five,six)
| familiar(three,six) ),
inference(spm,[status(thm)],[c_0_139,c_0_54]) ).
cnf(c_0_143,negated_conjecture,
( familiar(three,six)
| familiar(four,six)
| ~ not_familiar(three,four) ),
inference(spm,[status(thm)],[c_0_44,c_0_47]) ).
cnf(c_0_144,negated_conjecture,
( familiar(two,three)
| ~ familiar(X1,five)
| ~ familiar(X1,four) ),
inference(spm,[status(thm)],[c_0_67,c_0_140]) ).
cnf(c_0_145,negated_conjecture,
( familiar(three,four)
| familiar(four,five)
| familiar(three,five) ),
inference(spm,[status(thm)],[c_0_141,c_0_48]) ).
cnf(c_0_146,negated_conjecture,
( familiar(one,five)
| familiar(three,five)
| ~ not_familiar(one,three) ),
inference(spm,[status(thm)],[c_0_66,c_0_92]) ).
cnf(c_0_147,negated_conjecture,
( familiar(one,four)
| familiar(three,four)
| ~ not_familiar(one,three) ),
inference(spm,[status(thm)],[c_0_58,c_0_74]) ).
cnf(c_0_148,negated_conjecture,
( familiar(three,six)
| familiar(three,five)
| ~ familiar(X1,six)
| ~ familiar(X1,five) ),
inference(spm,[status(thm)],[c_0_67,c_0_142]) ).
cnf(c_0_149,negated_conjecture,
( familiar(three,four)
| familiar(four,six)
| familiar(three,six) ),
inference(spm,[status(thm)],[c_0_143,c_0_48]) ).
cnf(c_0_150,negated_conjecture,
( familiar(two,four)
| familiar(two,five)
| familiar(two,six) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_68]),c_0_77]) ).
cnf(c_0_151,negated_conjecture,
( familiar(one,six)
| familiar(three,six)
| ~ not_familiar(one,three) ),
inference(spm,[status(thm)],[c_0_57,c_0_83]) ).
cnf(c_0_152,negated_conjecture,
familiar(two,three),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_122]),c_0_113]) ).
cnf(c_0_153,negated_conjecture,
( familiar(three,five)
| familiar(three,four)
| ~ familiar(X1,five)
| ~ familiar(X1,four) ),
inference(spm,[status(thm)],[c_0_67,c_0_145]) ).
cnf(c_0_154,negated_conjecture,
( familiar(one,three)
| familiar(three,five)
| familiar(one,five) ),
inference(spm,[status(thm)],[c_0_146,c_0_76]) ).
cnf(c_0_155,negated_conjecture,
( familiar(one,three)
| familiar(three,four)
| familiar(one,four) ),
inference(spm,[status(thm)],[c_0_147,c_0_76]) ).
cnf(c_0_156,negated_conjecture,
( familiar(three,four)
| familiar(three,five)
| familiar(three,six) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_149]),c_0_145]) ).
cnf(c_0_157,negated_conjecture,
( familiar(two,five)
| familiar(two,four)
| ~ familiar(X1,six)
| ~ familiar(X1,two) ),
inference(spm,[status(thm)],[c_0_67,c_0_150]) ).
cnf(c_0_158,negated_conjecture,
( familiar(one,three)
| familiar(three,six)
| familiar(one,six) ),
inference(spm,[status(thm)],[c_0_151,c_0_76]) ).
cnf(c_0_159,negated_conjecture,
( familiar(one,two)
| familiar(two,four)
| familiar(two,five) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_112]),c_0_94]) ).
cnf(c_0_160,negated_conjecture,
( ~ familiar(X1,three)
| ~ familiar(X1,two) ),
inference(spm,[status(thm)],[c_0_67,c_0_152]) ).
cnf(c_0_161,negated_conjecture,
( familiar(one,three)
| familiar(three,four)
| familiar(three,five) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_154]),c_0_155]) ).
cnf(c_0_162,negated_conjecture,
( familiar(three,five)
| familiar(three,four)
| ~ familiar(X1,six)
| ~ familiar(X1,three) ),
inference(spm,[status(thm)],[c_0_67,c_0_156]) ).
cnf(c_0_163,negated_conjecture,
( familiar(three,six)
| familiar(one,three)
| familiar(two,four)
| familiar(two,five) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_157,c_0_158]),c_0_159]) ).
cnf(c_0_164,negated_conjecture,
( familiar(three,five)
| familiar(three,four)
| ~ familiar(one,two) ),
inference(spm,[status(thm)],[c_0_160,c_0_161]) ).
cnf(c_0_165,negated_conjecture,
( familiar(two,six)
| familiar(one,two)
| familiar(three,four)
| familiar(three,five) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_128]),c_0_161]) ).
cnf(c_0_166,negated_conjecture,
( familiar(two,five)
| familiar(two,four)
| familiar(three,six) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_160,c_0_163]),c_0_159]) ).
cnf(c_0_167,negated_conjecture,
( familiar(one,three)
| familiar(three,five)
| familiar(three,six) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_158]),c_0_154]) ).
cnf(c_0_168,negated_conjecture,
( familiar(two,six)
| familiar(three,four)
| familiar(three,five) ),
inference(spm,[status(thm)],[c_0_164,c_0_165]) ).
cnf(c_0_169,negated_conjecture,
( familiar(two,four)
| familiar(two,five)
| ~ familiar(X1,six)
| ~ familiar(X1,three) ),
inference(spm,[status(thm)],[c_0_67,c_0_166]) ).
cnf(c_0_170,negated_conjecture,
( familiar(three,six)
| familiar(three,five)
| ~ familiar(one,two) ),
inference(spm,[status(thm)],[c_0_160,c_0_167]) ).
cnf(c_0_171,negated_conjecture,
( familiar(one,two)
| familiar(two,four)
| familiar(two,six) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_128]),c_0_94]) ).
cnf(c_0_172,negated_conjecture,
( familiar(three,four)
| familiar(two,six)
| ~ familiar(X1,five)
| ~ familiar(X1,three) ),
inference(spm,[status(thm)],[c_0_67,c_0_168]) ).
cnf(c_0_173,negated_conjecture,
( familiar(two,five)
| familiar(two,four) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_150]),c_0_152])]) ).
cnf(c_0_174,negated_conjecture,
( familiar(two,six)
| familiar(two,four)
| familiar(three,five)
| familiar(three,six) ),
inference(spm,[status(thm)],[c_0_170,c_0_171]) ).
cnf(c_0_175,negated_conjecture,
( familiar(two,four)
| familiar(two,six)
| familiar(three,four) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_172,c_0_173]),c_0_152])]) ).
cnf(c_0_176,negated_conjecture,
( familiar(three,five)
| familiar(two,four)
| familiar(two,six) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_174]),c_0_175]) ).
cnf(c_0_177,negated_conjecture,
( familiar(two,six)
| familiar(two,four)
| ~ familiar(X1,five)
| ~ familiar(X1,three) ),
inference(spm,[status(thm)],[c_0_67,c_0_176]) ).
cnf(c_0_178,negated_conjecture,
( familiar(two,four)
| familiar(two,six) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_177,c_0_173]),c_0_152])]) ).
cnf(c_0_179,negated_conjecture,
( familiar(two,four)
| familiar(three,four)
| familiar(three,five) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_178]),c_0_152])]) ).
cnf(c_0_180,negated_conjecture,
( familiar(three,four)
| familiar(two,four)
| ~ familiar(X1,five)
| ~ familiar(X1,three) ),
inference(spm,[status(thm)],[c_0_67,c_0_179]) ).
cnf(c_0_181,negated_conjecture,
( familiar(two,four)
| familiar(three,four) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_173]),c_0_152])]) ).
cnf(c_0_182,negated_conjecture,
( familiar(two,four)
| ~ familiar(X1,four)
| ~ familiar(X1,three) ),
inference(spm,[status(thm)],[c_0_67,c_0_181]) ).
cnf(c_0_183,negated_conjecture,
( familiar(three,six)
| familiar(three,four)
| ~ familiar(X1,six)
| ~ familiar(X1,four) ),
inference(spm,[status(thm)],[c_0_67,c_0_149]) ).
cnf(c_0_184,negated_conjecture,
( familiar(two,four)
| ~ familiar(one,three) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_182,c_0_94]),c_0_160]) ).
cnf(c_0_185,negated_conjecture,
( familiar(one,three)
| familiar(three,four)
| familiar(three,six) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_158]),c_0_155]) ).
cnf(c_0_186,negated_conjecture,
( familiar(three,six)
| familiar(three,five)
| familiar(two,four) ),
inference(spm,[status(thm)],[c_0_184,c_0_167]) ).
cnf(c_0_187,negated_conjecture,
( familiar(three,six)
| familiar(three,four)
| ~ familiar(one,two) ),
inference(spm,[status(thm)],[c_0_160,c_0_185]) ).
cnf(c_0_188,negated_conjecture,
( familiar(one,two)
| familiar(two,five)
| familiar(two,six) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_128]),c_0_112]) ).
cnf(c_0_189,negated_conjecture,
( familiar(two,four)
| familiar(three,five)
| ~ familiar(X1,six)
| ~ familiar(X1,three) ),
inference(spm,[status(thm)],[c_0_67,c_0_186]) ).
cnf(c_0_190,negated_conjecture,
( familiar(two,six)
| familiar(two,five)
| familiar(three,four)
| familiar(three,six) ),
inference(spm,[status(thm)],[c_0_187,c_0_188]) ).
cnf(c_0_191,negated_conjecture,
( familiar(three,five)
| familiar(two,four) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_189,c_0_178]),c_0_152])]) ).
cnf(c_0_192,negated_conjecture,
( familiar(three,four)
| familiar(two,five)
| familiar(two,six) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_190]),c_0_168]) ).
cnf(c_0_193,negated_conjecture,
( familiar(two,four)
| ~ familiar(X1,five)
| ~ familiar(X1,three) ),
inference(spm,[status(thm)],[c_0_67,c_0_191]) ).
cnf(c_0_194,negated_conjecture,
( familiar(two,six)
| familiar(two,five)
| ~ familiar(X1,four)
| ~ familiar(X1,three) ),
inference(spm,[status(thm)],[c_0_67,c_0_192]) ).
cnf(c_0_195,negated_conjecture,
familiar(two,four),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_173]),c_0_152])]) ).
cnf(c_0_196,negated_conjecture,
( familiar(two,five)
| familiar(two,six) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_194,c_0_195]),c_0_152])]) ).
cnf(c_0_197,negated_conjecture,
( familiar(two,five)
| familiar(three,four)
| familiar(three,six) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_196]),c_0_195])]) ).
cnf(c_0_198,negated_conjecture,
( familiar(three,four)
| familiar(two,five)
| ~ familiar(X1,six)
| ~ familiar(X1,three) ),
inference(spm,[status(thm)],[c_0_67,c_0_197]) ).
cnf(c_0_199,negated_conjecture,
( familiar(two,five)
| familiar(three,four) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_198,c_0_196]),c_0_152])]) ).
cnf(c_0_200,negated_conjecture,
( familiar(two,five)
| ~ familiar(X1,four)
| ~ familiar(X1,three) ),
inference(spm,[status(thm)],[c_0_67,c_0_199]) ).
cnf(c_0_201,negated_conjecture,
familiar(two,five),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_195]),c_0_152])]) ).
cnf(c_0_202,negated_conjecture,
( familiar(three,four)
| familiar(three,five) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_153,c_0_201]),c_0_195])]) ).
cnf(c_0_203,negated_conjecture,
( familiar(three,four)
| ~ familiar(X1,five)
| ~ familiar(X1,three) ),
inference(spm,[status(thm)],[c_0_67,c_0_202]) ).
cnf(c_0_204,negated_conjecture,
familiar(three,four),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_203,c_0_201]),c_0_152])]) ).
cnf(c_0_205,negated_conjecture,
( ~ familiar(X1,four)
| ~ familiar(X1,three) ),
inference(spm,[status(thm)],[c_0_67,c_0_204]) ).
cnf(c_0_206,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_195]),c_0_152])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : PUZ028-5 : TPTP v8.1.2. Released v2.0.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.19/0.36 % Computer : n026.cluster.edu
% 0.19/0.36 % Model : x86_64 x86_64
% 0.19/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.36 % Memory : 8042.1875MB
% 0.19/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.36 % CPULimit : 300
% 0.19/0.36 % WCLimit : 300
% 0.19/0.36 % DateTime : Sat Aug 26 22:15:34 EDT 2023
% 0.19/0.37 % CPUTime :
% 0.21/0.57 start to proof: theBenchmark
% 0.21/0.64 % Version : CSE_E---1.5
% 0.21/0.64 % Problem : theBenchmark.p
% 0.21/0.64 % Proof found
% 0.21/0.64 % SZS status Theorem for theBenchmark.p
% 0.21/0.64 % SZS output start Proof
% See solution above
% 0.21/0.66 % Total time : 0.069000 s
% 0.21/0.66 % SZS output end Proof
% 0.21/0.66 % Total time : 0.072000 s
%------------------------------------------------------------------------------