TSTP Solution File: LCL656+1.010 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL656+1.010 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n022.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 06:57:26 EDT 2023
% Result : Theorem 0.19s 0.72s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 49
% Syntax : Number of formulae : 108 ( 20 unt; 46 typ; 0 def)
% Number of atoms : 1437 ( 0 equ)
% Maximal formula atoms : 485 ( 23 avg)
% Number of connectives : 2530 (1155 ~; 948 |; 425 &)
% ( 1 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 139 ( 10 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 46 ( 45 >; 1 *; 0 +; 0 <<)
% Number of predicates : 26 ( 25 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 1 con; 0-1 aty)
% Number of variables : 351 ( 0 sgn; 213 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
r1: ( $i * $i ) > $o ).
tff(decl_23,type,
p5: $i > $o ).
tff(decl_24,type,
p11: $i > $o ).
tff(decl_25,type,
p111: $i > $o ).
tff(decl_26,type,
p110: $i > $o ).
tff(decl_27,type,
p109: $i > $o ).
tff(decl_28,type,
p10: $i > $o ).
tff(decl_29,type,
p108: $i > $o ).
tff(decl_30,type,
p9: $i > $o ).
tff(decl_31,type,
p107: $i > $o ).
tff(decl_32,type,
p8: $i > $o ).
tff(decl_33,type,
p106: $i > $o ).
tff(decl_34,type,
p7: $i > $o ).
tff(decl_35,type,
p105: $i > $o ).
tff(decl_36,type,
p6: $i > $o ).
tff(decl_37,type,
p104: $i > $o ).
tff(decl_38,type,
p103: $i > $o ).
tff(decl_39,type,
p4: $i > $o ).
tff(decl_40,type,
p102: $i > $o ).
tff(decl_41,type,
p3: $i > $o ).
tff(decl_42,type,
p101: $i > $o ).
tff(decl_43,type,
p2: $i > $o ).
tff(decl_44,type,
p100: $i > $o ).
tff(decl_45,type,
p1: $i > $o ).
tff(decl_46,type,
epred1_1: $i > $o ).
tff(decl_47,type,
esk1_0: $i ).
tff(decl_48,type,
esk2_1: $i > $i ).
tff(decl_49,type,
esk3_1: $i > $i ).
tff(decl_50,type,
esk4_1: $i > $i ).
tff(decl_51,type,
esk5_1: $i > $i ).
tff(decl_52,type,
esk6_1: $i > $i ).
tff(decl_53,type,
esk7_1: $i > $i ).
tff(decl_54,type,
esk8_1: $i > $i ).
tff(decl_55,type,
esk9_1: $i > $i ).
tff(decl_56,type,
esk10_1: $i > $i ).
tff(decl_57,type,
esk11_1: $i > $i ).
tff(decl_58,type,
esk12_1: $i > $i ).
tff(decl_59,type,
esk13_1: $i > $i ).
tff(decl_60,type,
esk14_1: $i > $i ).
tff(decl_61,type,
esk15_1: $i > $i ).
tff(decl_62,type,
esk16_1: $i > $i ).
tff(decl_63,type,
esk17_1: $i > $i ).
tff(decl_64,type,
esk18_1: $i > $i ).
tff(decl_65,type,
esk19_1: $i > $i ).
tff(decl_66,type,
esk20_1: $i > $i ).
tff(decl_67,type,
esk21_1: $i > $i ).
fof(main,conjecture,
~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p5(X1) ) ) ) ) ) ) ) ) ) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ( ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p11(X2)
& ~ p111(X2)
& p110(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p11(X2)
& ~ p111(X2)
& p110(X2) ) ) )
| ~ ( ~ p110(X1)
& p109(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p10(X2)
& ~ p110(X2)
& p109(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p10(X2)
& ~ p110(X2)
& p109(X2) ) ) )
| ~ ( ~ p109(X1)
& p108(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p9(X2)
& ~ p109(X2)
& p108(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p9(X2)
& ~ p109(X2)
& p108(X2) ) ) )
| ~ ( ~ p108(X1)
& p107(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p8(X2)
& ~ p108(X2)
& p107(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p8(X2)
& ~ p108(X2)
& p107(X2) ) ) )
| ~ ( ~ p107(X1)
& p106(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p7(X2)
& ~ p107(X2)
& p106(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p7(X2)
& ~ p107(X2)
& p106(X2) ) ) )
| ~ ( ~ p106(X1)
& p105(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p11(X2)
| ~ p110(X2) )
| p11(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p11(X2)
| ~ p110(X2) )
| ~ p11(X1) ) )
| ~ p110(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p10(X2)
| ~ p109(X2) )
| p10(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p10(X2)
| ~ p109(X2) )
| ~ p10(X1) ) )
| ~ p109(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p9(X2)
| ~ p108(X2) )
| p9(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p9(X2)
| ~ p108(X2) )
| ~ p9(X1) ) )
| ~ p108(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p8(X2)
| ~ p107(X2) )
| p8(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p8(X2)
| ~ p107(X2) )
| ~ p8(X1) ) )
| ~ p107(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p7(X2)
| ~ p106(X2) )
| p7(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p7(X2)
| ~ p106(X2) )
| ~ p7(X1) ) )
| ~ p106(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p110(X1)
| ~ p111(X1) )
& ( p109(X1)
| ~ p110(X1) )
& ( p108(X1)
| ~ p109(X1) )
& ( p107(X1)
| ~ p108(X1) )
& ( p106(X1)
| ~ p107(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ) ) ) ) ) ) ) ) ) )
& ~ p101(X1)
& p100(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(reflexivity,axiom,
! [X1] : r1(X1,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).
fof(c_0_2,plain,
! [X1] :
( epred1_1(X1)
<=> ( ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p11(X2)
& ~ p111(X2)
& p110(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p11(X2)
& ~ p111(X2)
& p110(X2) ) ) )
| ~ ( ~ p110(X1)
& p109(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p10(X2)
& ~ p110(X2)
& p109(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p10(X2)
& ~ p110(X2)
& p109(X2) ) ) )
| ~ ( ~ p109(X1)
& p108(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p9(X2)
& ~ p109(X2)
& p108(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p9(X2)
& ~ p109(X2)
& p108(X2) ) ) )
| ~ ( ~ p108(X1)
& p107(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p8(X2)
& ~ p108(X2)
& p107(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p8(X2)
& ~ p108(X2)
& p107(X2) ) ) )
| ~ ( ~ p107(X1)
& p106(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p7(X2)
& ~ p107(X2)
& p106(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p7(X2)
& ~ p107(X2)
& p106(X2) ) ) )
| ~ ( ~ p106(X1)
& p105(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p11(X2)
| ~ p110(X2) )
| p11(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p11(X2)
| ~ p110(X2) )
| ~ p11(X1) ) )
| ~ p110(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p10(X2)
| ~ p109(X2) )
| p10(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p10(X2)
| ~ p109(X2) )
| ~ p10(X1) ) )
| ~ p109(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p9(X2)
| ~ p108(X2) )
| p9(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p9(X2)
| ~ p108(X2) )
| ~ p9(X1) ) )
| ~ p108(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p8(X2)
| ~ p107(X2) )
| p8(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p8(X2)
| ~ p107(X2) )
| ~ p8(X1) ) )
| ~ p107(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p7(X2)
| ~ p106(X2) )
| p7(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p7(X2)
| ~ p106(X2) )
| ~ p7(X1) ) )
| ~ p106(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p110(X1)
| ~ p111(X1) )
& ( p109(X1)
| ~ p110(X1) )
& ( p108(X1)
| ~ p109(X1) )
& ( p107(X1)
| ~ p108(X1) )
& ( p106(X1)
| ~ p107(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ),
introduced(definition) ).
fof(c_0_3,negated_conjecture,
~ ~ ? [X1] :
~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p5(X1) ) ) ) ) ) ) ) ) ) )
| ~ ( ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| epred1_1(X1) ) ) ) ) ) ) ) ) ) )
& ~ p101(X1)
& p100(X1) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]),c_0_2]) ).
fof(c_0_4,negated_conjecture,
! [X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15,X16,X17,X18,X19,X20,X21,X22,X23,X24] :
( ( ~ r1(esk1_0,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10)
| ~ r1(X10,X11)
| ~ r1(X11,X12)
| ~ r1(X12,X13)
| ~ r1(X13,X14)
| p5(X14) )
& ( ~ r1(esk1_0,X15)
| ~ r1(X15,X16)
| ~ r1(X16,X17)
| ~ r1(X17,X18)
| ~ r1(X18,X19)
| ~ r1(X19,X20)
| ~ r1(X20,X21)
| ~ r1(X21,X22)
| ~ r1(X22,X23)
| ~ r1(X23,X24)
| epred1_1(X24) )
& ~ p101(esk1_0)
& p100(esk1_0) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_3])])])]) ).
fof(c_0_5,plain,
! [X3] : r1(X3,X3),
inference(variable_rename,[status(thm)],[reflexivity]) ).
cnf(c_0_6,negated_conjecture,
( epred1_1(X10)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_7,plain,
r1(X1,X1),
inference(split_conjunct,[status(thm)],[c_0_5]) ).
cnf(c_0_8,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X2,X9) ),
inference(spm,[status(thm)],[c_0_6,c_0_7]) ).
cnf(c_0_9,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X2,X8) ),
inference(spm,[status(thm)],[c_0_8,c_0_7]) ).
cnf(c_0_10,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X2,X7) ),
inference(spm,[status(thm)],[c_0_9,c_0_7]) ).
cnf(c_0_11,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X2,X6) ),
inference(spm,[status(thm)],[c_0_10,c_0_7]) ).
cnf(c_0_12,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_11,c_0_7]) ).
cnf(c_0_13,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_12,c_0_7]) ).
cnf(c_0_14,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_7]) ).
fof(c_0_15,plain,
! [X1] :
( epred1_1(X1)
=> ( ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p11(X2)
& ~ p111(X2)
& p110(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p11(X2)
& ~ p111(X2)
& p110(X2) ) ) )
| ~ ( ~ p110(X1)
& p109(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p10(X2)
& ~ p110(X2)
& p109(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p10(X2)
& ~ p110(X2)
& p109(X2) ) ) )
| ~ ( ~ p109(X1)
& p108(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p9(X2)
& ~ p109(X2)
& p108(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p9(X2)
& ~ p109(X2)
& p108(X2) ) ) )
| ~ ( ~ p108(X1)
& p107(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p8(X2)
& ~ p108(X2)
& p107(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p8(X2)
& ~ p108(X2)
& p107(X2) ) ) )
| ~ ( ~ p107(X1)
& p106(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p7(X2)
& ~ p107(X2)
& p106(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p7(X2)
& ~ p107(X2)
& p106(X2) ) ) )
| ~ ( ~ p106(X1)
& p105(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p6(X2)
& ~ p106(X2)
& p105(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p6(X2)
& ~ p106(X2)
& p105(X2) ) ) )
| ~ ( ~ p105(X1)
& p104(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p5(X2)
& ~ p105(X2)
& p104(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p5(X2)
& ~ p105(X2)
& p104(X2) ) ) )
| ~ ( ~ p104(X1)
& p103(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p4(X2)
& ~ p104(X2)
& p103(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p4(X2)
& ~ p104(X2)
& p103(X2) ) ) )
| ~ ( ~ p103(X1)
& p102(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p3(X2)
& ~ p103(X2)
& p102(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p3(X2)
& ~ p103(X2)
& p102(X2) ) ) )
| ~ ( ~ p102(X1)
& p101(X1) ) )
& ( ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ p2(X2)
& ~ p102(X2)
& p101(X2) ) )
& ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( p2(X2)
& ~ p102(X2)
& p101(X2) ) ) )
| ~ ( ~ p101(X1)
& p100(X1) ) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p11(X2)
| ~ p110(X2) )
| p11(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p11(X2)
| ~ p110(X2) )
| ~ p11(X1) ) )
| ~ p110(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p10(X2)
| ~ p109(X2) )
| p10(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p10(X2)
| ~ p109(X2) )
| ~ p10(X1) ) )
| ~ p109(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p9(X2)
| ~ p108(X2) )
| p9(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p9(X2)
| ~ p108(X2) )
| ~ p9(X1) ) )
| ~ p108(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p8(X2)
| ~ p107(X2) )
| p8(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p8(X2)
| ~ p107(X2) )
| ~ p8(X1) ) )
| ~ p107(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p7(X2)
| ~ p106(X2) )
| p7(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p7(X2)
| ~ p106(X2) )
| ~ p7(X1) ) )
| ~ p106(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p6(X2)
| ~ p105(X2) )
| p6(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p6(X2)
| ~ p105(X2) )
| ~ p6(X1) ) )
| ~ p105(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p5(X2)
| ~ p104(X2) )
| p5(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p5(X2)
| ~ p104(X2) )
| ~ p5(X1) ) )
| ~ p104(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p4(X2)
| ~ p103(X2) )
| p4(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p4(X2)
| ~ p103(X2) )
| ~ p4(X1) ) )
| ~ p103(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p3(X2)
| ~ p102(X2) )
| p3(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p3(X2)
| ~ p102(X2) )
| ~ p3(X1) ) )
| ~ p102(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p2(X2)
| ~ p101(X2) )
| p2(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p2(X2)
| ~ p101(X2) )
| ~ p2(X1) ) )
| ~ p101(X1) )
& ( ( ( ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2)
| ~ p100(X2) )
| p1(X1) )
& ( ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ p100(X2) )
| ~ p1(X1) ) )
| ~ p100(X1) )
& ( p110(X1)
| ~ p111(X1) )
& ( p109(X1)
| ~ p110(X1) )
& ( p108(X1)
| ~ p109(X1) )
& ( p107(X1)
| ~ p108(X1) )
& ( p106(X1)
| ~ p107(X1) )
& ( p105(X1)
| ~ p106(X1) )
& ( p104(X1)
| ~ p105(X1) )
& ( p103(X1)
| ~ p104(X1) )
& ( p102(X1)
| ~ p103(X1) )
& ( p101(X1)
| ~ p102(X1) )
& ( p100(X1)
| ~ p101(X1) ) ) ),
inference(split_equiv,[status(thm)],[c_0_2]) ).
cnf(c_0_16,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_7]) ).
fof(c_0_17,plain,
! [X25,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65,X66,X67] :
( ( r1(X25,esk2_1(X25))
| p110(X25)
| ~ p109(X25)
| ~ epred1_1(X25) )
& ( ~ p11(esk2_1(X25))
| p110(X25)
| ~ p109(X25)
| ~ epred1_1(X25) )
& ( ~ p111(esk2_1(X25))
| p110(X25)
| ~ p109(X25)
| ~ epred1_1(X25) )
& ( p110(esk2_1(X25))
| p110(X25)
| ~ p109(X25)
| ~ epred1_1(X25) )
& ( r1(X25,esk3_1(X25))
| p110(X25)
| ~ p109(X25)
| ~ epred1_1(X25) )
& ( p11(esk3_1(X25))
| p110(X25)
| ~ p109(X25)
| ~ epred1_1(X25) )
& ( ~ p111(esk3_1(X25))
| p110(X25)
| ~ p109(X25)
| ~ epred1_1(X25) )
& ( p110(esk3_1(X25))
| p110(X25)
| ~ p109(X25)
| ~ epred1_1(X25) )
& ( r1(X25,esk4_1(X25))
| p109(X25)
| ~ p108(X25)
| ~ epred1_1(X25) )
& ( ~ p10(esk4_1(X25))
| p109(X25)
| ~ p108(X25)
| ~ epred1_1(X25) )
& ( ~ p110(esk4_1(X25))
| p109(X25)
| ~ p108(X25)
| ~ epred1_1(X25) )
& ( p109(esk4_1(X25))
| p109(X25)
| ~ p108(X25)
| ~ epred1_1(X25) )
& ( r1(X25,esk5_1(X25))
| p109(X25)
| ~ p108(X25)
| ~ epred1_1(X25) )
& ( p10(esk5_1(X25))
| p109(X25)
| ~ p108(X25)
| ~ epred1_1(X25) )
& ( ~ p110(esk5_1(X25))
| p109(X25)
| ~ p108(X25)
| ~ epred1_1(X25) )
& ( p109(esk5_1(X25))
| p109(X25)
| ~ p108(X25)
| ~ epred1_1(X25) )
& ( r1(X25,esk6_1(X25))
| p108(X25)
| ~ p107(X25)
| ~ epred1_1(X25) )
& ( ~ p9(esk6_1(X25))
| p108(X25)
| ~ p107(X25)
| ~ epred1_1(X25) )
& ( ~ p109(esk6_1(X25))
| p108(X25)
| ~ p107(X25)
| ~ epred1_1(X25) )
& ( p108(esk6_1(X25))
| p108(X25)
| ~ p107(X25)
| ~ epred1_1(X25) )
& ( r1(X25,esk7_1(X25))
| p108(X25)
| ~ p107(X25)
| ~ epred1_1(X25) )
& ( p9(esk7_1(X25))
| p108(X25)
| ~ p107(X25)
| ~ epred1_1(X25) )
& ( ~ p109(esk7_1(X25))
| p108(X25)
| ~ p107(X25)
| ~ epred1_1(X25) )
& ( p108(esk7_1(X25))
| p108(X25)
| ~ p107(X25)
| ~ epred1_1(X25) )
& ( r1(X25,esk8_1(X25))
| p107(X25)
| ~ p106(X25)
| ~ epred1_1(X25) )
& ( ~ p8(esk8_1(X25))
| p107(X25)
| ~ p106(X25)
| ~ epred1_1(X25) )
& ( ~ p108(esk8_1(X25))
| p107(X25)
| ~ p106(X25)
| ~ epred1_1(X25) )
& ( p107(esk8_1(X25))
| p107(X25)
| ~ p106(X25)
| ~ epred1_1(X25) )
& ( r1(X25,esk9_1(X25))
| p107(X25)
| ~ p106(X25)
| ~ epred1_1(X25) )
& ( p8(esk9_1(X25))
| p107(X25)
| ~ p106(X25)
| ~ epred1_1(X25) )
& ( ~ p108(esk9_1(X25))
| p107(X25)
| ~ p106(X25)
| ~ epred1_1(X25) )
& ( p107(esk9_1(X25))
| p107(X25)
| ~ p106(X25)
| ~ epred1_1(X25) )
& ( r1(X25,esk10_1(X25))
| p106(X25)
| ~ p105(X25)
| ~ epred1_1(X25) )
& ( ~ p7(esk10_1(X25))
| p106(X25)
| ~ p105(X25)
| ~ epred1_1(X25) )
& ( ~ p107(esk10_1(X25))
| p106(X25)
| ~ p105(X25)
| ~ epred1_1(X25) )
& ( p106(esk10_1(X25))
| p106(X25)
| ~ p105(X25)
| ~ epred1_1(X25) )
& ( r1(X25,esk11_1(X25))
| p106(X25)
| ~ p105(X25)
| ~ epred1_1(X25) )
& ( p7(esk11_1(X25))
| p106(X25)
| ~ p105(X25)
| ~ epred1_1(X25) )
& ( ~ p107(esk11_1(X25))
| p106(X25)
| ~ p105(X25)
| ~ epred1_1(X25) )
& ( p106(esk11_1(X25))
| p106(X25)
| ~ p105(X25)
| ~ epred1_1(X25) )
& ( r1(X25,esk12_1(X25))
| p105(X25)
| ~ p104(X25)
| ~ epred1_1(X25) )
& ( ~ p6(esk12_1(X25))
| p105(X25)
| ~ p104(X25)
| ~ epred1_1(X25) )
& ( ~ p106(esk12_1(X25))
| p105(X25)
| ~ p104(X25)
| ~ epred1_1(X25) )
& ( p105(esk12_1(X25))
| p105(X25)
| ~ p104(X25)
| ~ epred1_1(X25) )
& ( r1(X25,esk13_1(X25))
| p105(X25)
| ~ p104(X25)
| ~ epred1_1(X25) )
& ( p6(esk13_1(X25))
| p105(X25)
| ~ p104(X25)
| ~ epred1_1(X25) )
& ( ~ p106(esk13_1(X25))
| p105(X25)
| ~ p104(X25)
| ~ epred1_1(X25) )
& ( p105(esk13_1(X25))
| p105(X25)
| ~ p104(X25)
| ~ epred1_1(X25) )
& ( r1(X25,esk14_1(X25))
| p104(X25)
| ~ p103(X25)
| ~ epred1_1(X25) )
& ( ~ p5(esk14_1(X25))
| p104(X25)
| ~ p103(X25)
| ~ epred1_1(X25) )
& ( ~ p105(esk14_1(X25))
| p104(X25)
| ~ p103(X25)
| ~ epred1_1(X25) )
& ( p104(esk14_1(X25))
| p104(X25)
| ~ p103(X25)
| ~ epred1_1(X25) )
& ( r1(X25,esk15_1(X25))
| p104(X25)
| ~ p103(X25)
| ~ epred1_1(X25) )
& ( p5(esk15_1(X25))
| p104(X25)
| ~ p103(X25)
| ~ epred1_1(X25) )
& ( ~ p105(esk15_1(X25))
| p104(X25)
| ~ p103(X25)
| ~ epred1_1(X25) )
& ( p104(esk15_1(X25))
| p104(X25)
| ~ p103(X25)
| ~ epred1_1(X25) )
& ( r1(X25,esk16_1(X25))
| p103(X25)
| ~ p102(X25)
| ~ epred1_1(X25) )
& ( ~ p4(esk16_1(X25))
| p103(X25)
| ~ p102(X25)
| ~ epred1_1(X25) )
& ( ~ p104(esk16_1(X25))
| p103(X25)
| ~ p102(X25)
| ~ epred1_1(X25) )
& ( p103(esk16_1(X25))
| p103(X25)
| ~ p102(X25)
| ~ epred1_1(X25) )
& ( r1(X25,esk17_1(X25))
| p103(X25)
| ~ p102(X25)
| ~ epred1_1(X25) )
& ( p4(esk17_1(X25))
| p103(X25)
| ~ p102(X25)
| ~ epred1_1(X25) )
& ( ~ p104(esk17_1(X25))
| p103(X25)
| ~ p102(X25)
| ~ epred1_1(X25) )
& ( p103(esk17_1(X25))
| p103(X25)
| ~ p102(X25)
| ~ epred1_1(X25) )
& ( r1(X25,esk18_1(X25))
| p102(X25)
| ~ p101(X25)
| ~ epred1_1(X25) )
& ( ~ p3(esk18_1(X25))
| p102(X25)
| ~ p101(X25)
| ~ epred1_1(X25) )
& ( ~ p103(esk18_1(X25))
| p102(X25)
| ~ p101(X25)
| ~ epred1_1(X25) )
& ( p102(esk18_1(X25))
| p102(X25)
| ~ p101(X25)
| ~ epred1_1(X25) )
& ( r1(X25,esk19_1(X25))
| p102(X25)
| ~ p101(X25)
| ~ epred1_1(X25) )
& ( p3(esk19_1(X25))
| p102(X25)
| ~ p101(X25)
| ~ epred1_1(X25) )
& ( ~ p103(esk19_1(X25))
| p102(X25)
| ~ p101(X25)
| ~ epred1_1(X25) )
& ( p102(esk19_1(X25))
| p102(X25)
| ~ p101(X25)
| ~ epred1_1(X25) )
& ( r1(X25,esk20_1(X25))
| p101(X25)
| ~ p100(X25)
| ~ epred1_1(X25) )
& ( ~ p2(esk20_1(X25))
| p101(X25)
| ~ p100(X25)
| ~ epred1_1(X25) )
& ( ~ p102(esk20_1(X25))
| p101(X25)
| ~ p100(X25)
| ~ epred1_1(X25) )
& ( p101(esk20_1(X25))
| p101(X25)
| ~ p100(X25)
| ~ epred1_1(X25) )
& ( r1(X25,esk21_1(X25))
| p101(X25)
| ~ p100(X25)
| ~ epred1_1(X25) )
& ( p2(esk21_1(X25))
| p101(X25)
| ~ p100(X25)
| ~ epred1_1(X25) )
& ( ~ p102(esk21_1(X25))
| p101(X25)
| ~ p100(X25)
| ~ epred1_1(X25) )
& ( p101(esk21_1(X25))
| p101(X25)
| ~ p100(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X46)
| ~ p11(X46)
| ~ p110(X46)
| p11(X25)
| ~ p110(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X47)
| p11(X47)
| ~ p110(X47)
| ~ p11(X25)
| ~ p110(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X48)
| ~ p10(X48)
| ~ p109(X48)
| p10(X25)
| ~ p109(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X49)
| p10(X49)
| ~ p109(X49)
| ~ p10(X25)
| ~ p109(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X50)
| ~ p9(X50)
| ~ p108(X50)
| p9(X25)
| ~ p108(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X51)
| p9(X51)
| ~ p108(X51)
| ~ p9(X25)
| ~ p108(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X52)
| ~ p8(X52)
| ~ p107(X52)
| p8(X25)
| ~ p107(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X53)
| p8(X53)
| ~ p107(X53)
| ~ p8(X25)
| ~ p107(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X54)
| ~ p7(X54)
| ~ p106(X54)
| p7(X25)
| ~ p106(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X55)
| p7(X55)
| ~ p106(X55)
| ~ p7(X25)
| ~ p106(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X56)
| ~ p6(X56)
| ~ p105(X56)
| p6(X25)
| ~ p105(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X57)
| p6(X57)
| ~ p105(X57)
| ~ p6(X25)
| ~ p105(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X58)
| ~ p5(X58)
| ~ p104(X58)
| p5(X25)
| ~ p104(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X59)
| p5(X59)
| ~ p104(X59)
| ~ p5(X25)
| ~ p104(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X60)
| ~ p4(X60)
| ~ p103(X60)
| p4(X25)
| ~ p103(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X61)
| p4(X61)
| ~ p103(X61)
| ~ p4(X25)
| ~ p103(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X62)
| ~ p3(X62)
| ~ p102(X62)
| p3(X25)
| ~ p102(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X63)
| p3(X63)
| ~ p102(X63)
| ~ p3(X25)
| ~ p102(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X64)
| ~ p2(X64)
| ~ p101(X64)
| p2(X25)
| ~ p101(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X65)
| p2(X65)
| ~ p101(X65)
| ~ p2(X25)
| ~ p101(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X66)
| ~ p1(X66)
| ~ p100(X66)
| p1(X25)
| ~ p100(X25)
| ~ epred1_1(X25) )
& ( ~ r1(X25,X67)
| p1(X67)
| ~ p100(X67)
| ~ p1(X25)
| ~ p100(X25)
| ~ epred1_1(X25) )
& ( p110(X25)
| ~ p111(X25)
| ~ epred1_1(X25) )
& ( p109(X25)
| ~ p110(X25)
| ~ epred1_1(X25) )
& ( p108(X25)
| ~ p109(X25)
| ~ epred1_1(X25) )
& ( p107(X25)
| ~ p108(X25)
| ~ epred1_1(X25) )
& ( p106(X25)
| ~ p107(X25)
| ~ epred1_1(X25) )
& ( p105(X25)
| ~ p106(X25)
| ~ epred1_1(X25) )
& ( p104(X25)
| ~ p105(X25)
| ~ epred1_1(X25) )
& ( p103(X25)
| ~ p104(X25)
| ~ epred1_1(X25) )
& ( p102(X25)
| ~ p103(X25)
| ~ epred1_1(X25) )
& ( p101(X25)
| ~ p102(X25)
| ~ epred1_1(X25) )
& ( p100(X25)
| ~ p101(X25)
| ~ epred1_1(X25) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])]) ).
cnf(c_0_18,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk1_0,X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_7]) ).
cnf(c_0_19,plain,
( r1(X1,esk21_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_20,negated_conjecture,
epred1_1(esk1_0),
inference(spm,[status(thm)],[c_0_18,c_0_7]) ).
cnf(c_0_21,negated_conjecture,
p100(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_22,negated_conjecture,
~ p101(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_23,plain,
( p101(X1)
| ~ p102(esk21_1(X1))
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_24,plain,
r1(esk1_0,esk21_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_25,plain,
( p101(esk21_1(X1))
| p101(X1)
| ~ p100(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26,negated_conjecture,
( ~ epred1_1(esk1_0)
| ~ p102(esk21_1(esk1_0)) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_21]),c_0_22]) ).
cnf(c_0_27,plain,
( r1(X1,esk18_1(X1))
| p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28,negated_conjecture,
epred1_1(esk21_1(esk1_0)),
inference(spm,[status(thm)],[c_0_18,c_0_24]) ).
cnf(c_0_29,plain,
p101(esk21_1(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25,c_0_20]),c_0_21])]),c_0_22]) ).
cnf(c_0_30,negated_conjecture,
~ p102(esk21_1(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_20])]) ).
cnf(c_0_31,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk21_1(esk1_0),X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_24]) ).
cnf(c_0_32,plain,
r1(esk21_1(esk1_0),esk18_1(esk21_1(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_33,plain,
( p102(esk18_1(X1))
| p102(X1)
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_34,plain,
( p102(X1)
| ~ p103(esk18_1(X1))
| ~ p101(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_35,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk21_1(esk1_0),X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_14,c_0_24]) ).
cnf(c_0_36,plain,
( r1(X1,esk16_1(X1))
| p103(X1)
| ~ p102(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_37,negated_conjecture,
epred1_1(esk18_1(esk21_1(esk1_0))),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_38,plain,
p102(esk18_1(esk21_1(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_28]),c_0_29])]),c_0_30]) ).
cnf(c_0_39,plain,
~ p103(esk18_1(esk21_1(esk1_0))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_29]),c_0_28])]),c_0_30]) ).
cnf(c_0_40,plain,
( p104(X1)
| ~ p5(esk14_1(X1))
| ~ p103(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_41,negated_conjecture,
( p5(X10)
| ~ r1(esk1_0,X1)
| ~ r1(X1,X2)
| ~ r1(X2,X3)
| ~ r1(X3,X4)
| ~ r1(X4,X5)
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X7,X8)
| ~ r1(X8,X9)
| ~ r1(X9,X10) ),
inference(split_conjunct,[status(thm)],[c_0_4]) ).
cnf(c_0_42,plain,
( p103(esk16_1(X1))
| p103(X1)
| ~ p102(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_43,negated_conjecture,
( epred1_1(X1)
| ~ r1(esk18_1(esk21_1(esk1_0)),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_32]) ).
cnf(c_0_44,plain,
r1(esk18_1(esk21_1(esk1_0)),esk16_1(esk18_1(esk21_1(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_36,c_0_37]),c_0_38])]),c_0_39]) ).
cnf(c_0_45,plain,
( p103(X1)
| ~ p104(esk16_1(X1))
| ~ p102(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_46,plain,
( p104(X1)
| ~ epred1_1(X1)
| ~ p103(X1)
| ~ r1(X2,esk14_1(X1))
| ~ r1(esk1_0,X3)
| ~ r1(X4,X2)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X10,X9)
| ~ r1(X3,X10) ),
inference(spm,[status(thm)],[c_0_40,c_0_41]) ).
cnf(c_0_47,plain,
p103(esk16_1(esk18_1(esk21_1(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_37]),c_0_38])]),c_0_39]) ).
cnf(c_0_48,negated_conjecture,
epred1_1(esk16_1(esk18_1(esk21_1(esk1_0)))),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_49,plain,
~ p104(esk16_1(esk18_1(esk21_1(esk1_0)))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_38]),c_0_37])]),c_0_39]) ).
cnf(c_0_50,plain,
( r1(X1,esk14_1(X1))
| p104(X1)
| ~ p103(X1)
| ~ epred1_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_51,plain,
( ~ r1(X1,esk14_1(esk16_1(esk18_1(esk21_1(esk1_0)))))
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X9,X8)
| ~ r1(X2,X9) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_48])]),c_0_49]) ).
cnf(c_0_52,plain,
r1(esk16_1(esk18_1(esk21_1(esk1_0))),esk14_1(esk16_1(esk18_1(esk21_1(esk1_0))))),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_50,c_0_48]),c_0_47])]),c_0_49]) ).
cnf(c_0_53,plain,
( ~ r1(X1,esk16_1(esk18_1(esk21_1(esk1_0))))
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X8,X7)
| ~ r1(X2,X8) ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_54,plain,
( ~ r1(X1,esk18_1(esk21_1(esk1_0)))
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X7,X6)
| ~ r1(X2,X7) ),
inference(spm,[status(thm)],[c_0_53,c_0_44]) ).
cnf(c_0_55,plain,
( ~ r1(X1,esk21_1(esk1_0))
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X6,X5)
| ~ r1(X2,X6) ),
inference(spm,[status(thm)],[c_0_54,c_0_32]) ).
cnf(c_0_56,plain,
( ~ r1(esk1_0,X1)
| ~ r1(X2,esk1_0)
| ~ r1(X3,X2)
| ~ r1(X4,X3)
| ~ r1(X5,X4)
| ~ r1(X1,X5) ),
inference(spm,[status(thm)],[c_0_55,c_0_24]) ).
cnf(c_0_57,plain,
( ~ r1(X1,esk1_0)
| ~ r1(esk1_0,X2)
| ~ r1(X3,X1)
| ~ r1(X4,X3)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_56,c_0_7]) ).
cnf(c_0_58,plain,
( ~ r1(esk1_0,X1)
| ~ r1(X2,esk1_0)
| ~ r1(X3,X2)
| ~ r1(X1,X3) ),
inference(spm,[status(thm)],[c_0_57,c_0_7]) ).
cnf(c_0_59,plain,
( ~ r1(X1,esk1_0)
| ~ r1(esk1_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_58,c_0_7]) ).
cnf(c_0_60,plain,
( ~ r1(esk1_0,X1)
| ~ r1(X1,esk1_0) ),
inference(spm,[status(thm)],[c_0_59,c_0_7]) ).
cnf(c_0_61,plain,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_7]),c_0_7])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL656+1.010 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.34 % Computer : n022.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 : Fri Aug 25 06:51:40 EDT 2023
% 0.18/0.34 % CPUTime :
% 0.19/0.56 start to proof: theBenchmark
% 0.19/0.72 % Version : CSE_E---1.5
% 0.19/0.72 % Problem : theBenchmark.p
% 0.19/0.72 % Proof found
% 0.19/0.72 % SZS status Theorem for theBenchmark.p
% 0.19/0.72 % SZS output start Proof
% See solution above
% 0.19/0.73 % Total time : 0.145000 s
% 0.19/0.73 % SZS output end Proof
% 0.19/0.73 % Total time : 0.150000 s
%------------------------------------------------------------------------------