TSTP Solution File: LCL638+1.005 by CSE_E---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : LCL638+1.005 : 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 : n024.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 06:54:51 EDT 2023
% Result : Theorem 0.75s 0.81s
% Output : CNFRefutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 59
% Syntax : Number of formulae : 107 ( 13 unt; 58 typ; 0 def)
% Number of atoms : 1021 ( 0 equ)
% Maximal formula atoms : 400 ( 20 avg)
% Number of connectives : 1958 ( 986 ~; 843 |; 129 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 207 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 113 ( 32 >; 81 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 56 ( 56 usr; 26 con; 0-7 aty)
% Number of variables : 559 ( 0 sgn; 455 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
r1: ( $i * $i ) > $o ).
tff(decl_23,type,
p1: $i > $o ).
tff(decl_24,type,
esk1_0: $i ).
tff(decl_25,type,
esk2_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_26,type,
esk3_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_27,type,
esk4_7: ( $i * $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_28,type,
esk5_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_29,type,
esk6_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_30,type,
esk7_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_31,type,
esk8_0: $i ).
tff(decl_32,type,
esk9_0: $i ).
tff(decl_33,type,
esk10_0: $i ).
tff(decl_34,type,
esk11_0: $i ).
tff(decl_35,type,
esk12_0: $i ).
tff(decl_36,type,
esk13_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
esk14_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_38,type,
esk15_6: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_39,type,
esk16_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_40,type,
esk17_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_41,type,
esk18_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
esk19_0: $i ).
tff(decl_43,type,
esk20_0: $i ).
tff(decl_44,type,
esk21_0: $i ).
tff(decl_45,type,
esk22_0: $i ).
tff(decl_46,type,
esk23_0: $i ).
tff(decl_47,type,
esk24_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_48,type,
esk25_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_49,type,
esk26_5: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_50,type,
esk27_3: ( $i * $i * $i ) > $i ).
tff(decl_51,type,
esk28_3: ( $i * $i * $i ) > $i ).
tff(decl_52,type,
esk29_3: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
esk30_0: $i ).
tff(decl_54,type,
esk31_0: $i ).
tff(decl_55,type,
esk32_0: $i ).
tff(decl_56,type,
esk33_0: $i ).
tff(decl_57,type,
esk34_0: $i ).
tff(decl_58,type,
esk35_3: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
esk36_3: ( $i * $i * $i ) > $i ).
tff(decl_60,type,
esk37_4: ( $i * $i * $i * $i ) > $i ).
tff(decl_61,type,
esk38_2: ( $i * $i ) > $i ).
tff(decl_62,type,
esk39_2: ( $i * $i ) > $i ).
tff(decl_63,type,
esk40_2: ( $i * $i ) > $i ).
tff(decl_64,type,
esk41_0: $i ).
tff(decl_65,type,
esk42_0: $i ).
tff(decl_66,type,
esk43_0: $i ).
tff(decl_67,type,
esk44_0: $i ).
tff(decl_68,type,
esk45_0: $i ).
tff(decl_69,type,
esk46_2: ( $i * $i ) > $i ).
tff(decl_70,type,
esk47_2: ( $i * $i ) > $i ).
tff(decl_71,type,
esk48_3: ( $i * $i * $i ) > $i ).
tff(decl_72,type,
esk49_1: $i > $i ).
tff(decl_73,type,
esk50_1: $i > $i ).
tff(decl_74,type,
esk51_1: $i > $i ).
tff(decl_75,type,
esk52_0: $i ).
tff(decl_76,type,
esk53_0: $i ).
tff(decl_77,type,
esk54_0: $i ).
tff(decl_78,type,
esk55_0: $i ).
tff(decl_79,type,
esk56_0: $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)
| p1(X2) ) )
& ~ p1(X2) ) ) ) ) ) )
| ~ ! [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)
| ~ p1(X2) ) )
& p1(X2) ) ) ) ) ) )
| ~ ! [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)
| ~ p1(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) ) ) ) ) ) ) )
| ~ ! [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)
| p1(X2) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(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)
| ~ $true ) ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(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)
| p1(X1) ) )
& ~ p1(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)
| ~ p1(X1) ) )
& p1(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)
| ~ p1(X2) ) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(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)
| p1(X1) ) )
& ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ $true ) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ~ p1(X2) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
& p1(X2) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) ) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ $true ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
& ~ p1(X1) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) )
& p1(X1) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
& ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ $true ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ~ p1(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
& p1(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ $true ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).
fof(c_0_1,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)
| p1(X2) ) )
& ~ p1(X2) ) ) ) ) ) )
| ~ ! [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)
| ~ p1(X2) ) )
& p1(X2) ) ) ) ) ) )
| ~ ! [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)
| ~ p1(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) ) ) ) ) ) ) )
| ~ ! [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)
| p1(X2) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(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)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(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)
| p1(X1) ) )
& ~ p1(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)
| ~ p1(X1) ) )
& p1(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)
| ~ p1(X2) ) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(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)
| p1(X1) ) )
& ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] : ~ r1(X1,X2) ) ) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ~ p1(X2) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
& p1(X2) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) ) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(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)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
& ~ p1(X1) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) )
& p1(X1) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) ) )
& ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ( ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) )
& ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] : ~ r1(X1,X2) ) )
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ~ p1(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) )
& p1(X2) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| ~ p1(X1) ) ) )
& ! [X1] :
( ~ r1(X2,X1)
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ p1(X2) ) ) ) )
| ~ ! [X2] :
( ~ r1(X1,X2)
| ~ ( ~ ! [X1] :
( ~ r1(X2,X1)
| ! [X2] :
( ~ r1(X1,X2)
| p1(X2) ) )
& ! [X1] :
( ~ r1(X2,X1)
| p1(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)
| p1(X2)
| ~ ! [X1] :
( ~ r1(X2,X1)
| p1(X1) ) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]) ).
fof(c_0_2,negated_conjecture,
! [X4,X5,X6,X7,X8,X9,X11,X12,X13,X14,X15,X16,X18,X19,X20,X21,X22,X23,X24,X27,X28,X29,X30,X31,X32,X33,X34,X36,X37,X38,X39,X40,X47,X48,X49,X50,X51,X52,X54,X55,X56,X57,X58,X60,X61,X62,X63,X64,X65,X68,X69,X70,X71,X72,X73,X74,X76,X77,X78,X79,X86,X87,X88,X89,X90,X92,X93,X94,X95,X97,X98,X99,X100,X101,X104,X105,X106,X107,X108,X109,X111,X112,X113,X120,X121,X122,X123,X125,X126,X127,X129,X130,X131,X132,X135,X136,X137,X138,X139,X141,X142,X149,X150,X151,X153,X154,X156,X157,X158,X161,X162,X163,X164,X166,X173] :
( ( r1(X9,esk2_6(X4,X5,X6,X7,X8,X9))
| ~ r1(X8,X9)
| p1(X8)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(esk1_0,X4) )
& ( ~ p1(esk2_6(X4,X5,X6,X7,X8,X9))
| ~ r1(X8,X9)
| p1(X8)
| ~ r1(X7,X8)
| ~ r1(X6,X7)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(esk1_0,X4) )
& ( r1(X16,esk3_6(X11,X12,X13,X14,X15,X16))
| ~ r1(X15,X16)
| ~ p1(X15)
| ~ r1(X14,X15)
| ~ r1(X13,X14)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| ~ r1(esk1_0,X11) )
& ( p1(esk3_6(X11,X12,X13,X14,X15,X16))
| ~ r1(X15,X16)
| ~ p1(X15)
| ~ r1(X14,X15)
| ~ r1(X13,X14)
| ~ r1(X12,X13)
| ~ r1(X11,X12)
| ~ r1(esk1_0,X11) )
& ( r1(X22,esk5_5(X18,X19,X20,X21,X22))
| r1(X24,esk4_7(X18,X19,X20,X21,X22,X23,X24))
| ~ r1(X23,X24)
| ~ r1(X22,X23)
| ~ r1(X21,X22)
| ~ r1(X20,X21)
| ~ r1(X19,X20)
| ~ r1(X18,X19)
| ~ r1(esk1_0,X18) )
& ( ~ r1(esk5_5(X18,X19,X20,X21,X22),X27)
| ~ p1(X27)
| r1(X24,esk4_7(X18,X19,X20,X21,X22,X23,X24))
| ~ r1(X23,X24)
| ~ r1(X22,X23)
| ~ r1(X21,X22)
| ~ r1(X20,X21)
| ~ r1(X19,X20)
| ~ r1(X18,X19)
| ~ r1(esk1_0,X18) )
& ( r1(X22,esk5_5(X18,X19,X20,X21,X22))
| p1(esk4_7(X18,X19,X20,X21,X22,X23,X24))
| ~ r1(X23,X24)
| ~ r1(X22,X23)
| ~ r1(X21,X22)
| ~ r1(X20,X21)
| ~ r1(X19,X20)
| ~ r1(X18,X19)
| ~ r1(esk1_0,X18) )
& ( ~ r1(esk5_5(X18,X19,X20,X21,X22),X27)
| ~ p1(X27)
| p1(esk4_7(X18,X19,X20,X21,X22,X23,X24))
| ~ r1(X23,X24)
| ~ r1(X22,X23)
| ~ r1(X21,X22)
| ~ r1(X20,X21)
| ~ r1(X19,X20)
| ~ r1(X18,X19)
| ~ r1(esk1_0,X18) )
& ( r1(X32,esk6_5(X28,X29,X30,X31,X32))
| ~ r1(X32,X33)
| ~ r1(X33,X34)
| p1(X34)
| ~ r1(X31,X32)
| ~ r1(X30,X31)
| ~ r1(X29,X30)
| ~ r1(X28,X29)
| ~ r1(esk1_0,X28) )
& ( ~ p1(esk6_5(X28,X29,X30,X31,X32))
| ~ r1(X32,X33)
| ~ r1(X33,X34)
| p1(X34)
| ~ r1(X31,X32)
| ~ r1(X30,X31)
| ~ r1(X29,X30)
| ~ r1(X28,X29)
| ~ r1(esk1_0,X28) )
& ( ~ r1(esk1_0,X36)
| ~ r1(X36,X37)
| ~ r1(X37,X38)
| ~ r1(X38,X39)
| ~ r1(X39,X40)
| r1(X40,esk7_5(X36,X37,X38,X39,X40)) )
& r1(esk1_0,esk8_0)
& r1(esk8_0,esk9_0)
& r1(esk9_0,esk10_0)
& r1(esk10_0,esk11_0)
& r1(esk11_0,esk12_0)
& ~ p1(esk12_0)
& ( ~ r1(esk12_0,X47)
| p1(X47) )
& ( r1(X52,esk13_5(X48,X49,X50,X51,X52))
| ~ r1(X51,X52)
| p1(X51)
| ~ r1(X50,X51)
| ~ r1(X49,X50)
| ~ r1(X48,X49)
| ~ r1(esk1_0,X48) )
& ( ~ p1(esk13_5(X48,X49,X50,X51,X52))
| ~ r1(X51,X52)
| p1(X51)
| ~ r1(X50,X51)
| ~ r1(X49,X50)
| ~ r1(X48,X49)
| ~ r1(esk1_0,X48) )
& ( r1(X58,esk14_5(X54,X55,X56,X57,X58))
| ~ r1(X57,X58)
| ~ p1(X57)
| ~ r1(X56,X57)
| ~ r1(X55,X56)
| ~ r1(X54,X55)
| ~ r1(esk1_0,X54) )
& ( p1(esk14_5(X54,X55,X56,X57,X58))
| ~ r1(X57,X58)
| ~ p1(X57)
| ~ r1(X56,X57)
| ~ r1(X55,X56)
| ~ r1(X54,X55)
| ~ r1(esk1_0,X54) )
& ( r1(X63,esk16_4(X60,X61,X62,X63))
| r1(X65,esk15_6(X60,X61,X62,X63,X64,X65))
| ~ r1(X64,X65)
| ~ r1(X63,X64)
| ~ r1(X62,X63)
| ~ r1(X61,X62)
| ~ r1(X60,X61)
| ~ r1(esk1_0,X60) )
& ( ~ r1(esk16_4(X60,X61,X62,X63),X68)
| ~ p1(X68)
| r1(X65,esk15_6(X60,X61,X62,X63,X64,X65))
| ~ r1(X64,X65)
| ~ r1(X63,X64)
| ~ r1(X62,X63)
| ~ r1(X61,X62)
| ~ r1(X60,X61)
| ~ r1(esk1_0,X60) )
& ( r1(X63,esk16_4(X60,X61,X62,X63))
| p1(esk15_6(X60,X61,X62,X63,X64,X65))
| ~ r1(X64,X65)
| ~ r1(X63,X64)
| ~ r1(X62,X63)
| ~ r1(X61,X62)
| ~ r1(X60,X61)
| ~ r1(esk1_0,X60) )
& ( ~ r1(esk16_4(X60,X61,X62,X63),X68)
| ~ p1(X68)
| p1(esk15_6(X60,X61,X62,X63,X64,X65))
| ~ r1(X64,X65)
| ~ r1(X63,X64)
| ~ r1(X62,X63)
| ~ r1(X61,X62)
| ~ r1(X60,X61)
| ~ r1(esk1_0,X60) )
& ( r1(X72,esk17_4(X69,X70,X71,X72))
| ~ r1(X72,X73)
| ~ r1(X73,X74)
| p1(X74)
| ~ r1(X71,X72)
| ~ r1(X70,X71)
| ~ r1(X69,X70)
| ~ r1(esk1_0,X69) )
& ( ~ p1(esk17_4(X69,X70,X71,X72))
| ~ r1(X72,X73)
| ~ r1(X73,X74)
| p1(X74)
| ~ r1(X71,X72)
| ~ r1(X70,X71)
| ~ r1(X69,X70)
| ~ r1(esk1_0,X69) )
& ( ~ r1(esk1_0,X76)
| ~ r1(X76,X77)
| ~ r1(X77,X78)
| ~ r1(X78,X79)
| r1(X79,esk18_4(X76,X77,X78,X79)) )
& r1(esk1_0,esk19_0)
& r1(esk19_0,esk20_0)
& r1(esk20_0,esk21_0)
& r1(esk21_0,esk22_0)
& r1(esk22_0,esk23_0)
& ~ p1(esk23_0)
& ( ~ r1(esk23_0,X86)
| p1(X86) )
& ( r1(X90,esk24_4(X87,X88,X89,X90))
| ~ r1(X89,X90)
| p1(X89)
| ~ r1(X88,X89)
| ~ r1(X87,X88)
| ~ r1(esk1_0,X87) )
& ( ~ p1(esk24_4(X87,X88,X89,X90))
| ~ r1(X89,X90)
| p1(X89)
| ~ r1(X88,X89)
| ~ r1(X87,X88)
| ~ r1(esk1_0,X87) )
& ( r1(X95,esk25_4(X92,X93,X94,X95))
| ~ r1(X94,X95)
| ~ p1(X94)
| ~ r1(X93,X94)
| ~ r1(X92,X93)
| ~ r1(esk1_0,X92) )
& ( p1(esk25_4(X92,X93,X94,X95))
| ~ r1(X94,X95)
| ~ p1(X94)
| ~ r1(X93,X94)
| ~ r1(X92,X93)
| ~ r1(esk1_0,X92) )
& ( r1(X99,esk27_3(X97,X98,X99))
| r1(X101,esk26_5(X97,X98,X99,X100,X101))
| ~ r1(X100,X101)
| ~ r1(X99,X100)
| ~ r1(X98,X99)
| ~ r1(X97,X98)
| ~ r1(esk1_0,X97) )
& ( ~ r1(esk27_3(X97,X98,X99),X104)
| ~ p1(X104)
| r1(X101,esk26_5(X97,X98,X99,X100,X101))
| ~ r1(X100,X101)
| ~ r1(X99,X100)
| ~ r1(X98,X99)
| ~ r1(X97,X98)
| ~ r1(esk1_0,X97) )
& ( r1(X99,esk27_3(X97,X98,X99))
| p1(esk26_5(X97,X98,X99,X100,X101))
| ~ r1(X100,X101)
| ~ r1(X99,X100)
| ~ r1(X98,X99)
| ~ r1(X97,X98)
| ~ r1(esk1_0,X97) )
& ( ~ r1(esk27_3(X97,X98,X99),X104)
| ~ p1(X104)
| p1(esk26_5(X97,X98,X99,X100,X101))
| ~ r1(X100,X101)
| ~ r1(X99,X100)
| ~ r1(X98,X99)
| ~ r1(X97,X98)
| ~ r1(esk1_0,X97) )
& ( r1(X107,esk28_3(X105,X106,X107))
| ~ r1(X107,X108)
| ~ r1(X108,X109)
| p1(X109)
| ~ r1(X106,X107)
| ~ r1(X105,X106)
| ~ r1(esk1_0,X105) )
& ( ~ p1(esk28_3(X105,X106,X107))
| ~ r1(X107,X108)
| ~ r1(X108,X109)
| p1(X109)
| ~ r1(X106,X107)
| ~ r1(X105,X106)
| ~ r1(esk1_0,X105) )
& ( ~ r1(esk1_0,X111)
| ~ r1(X111,X112)
| ~ r1(X112,X113)
| r1(X113,esk29_3(X111,X112,X113)) )
& r1(esk1_0,esk30_0)
& r1(esk30_0,esk31_0)
& r1(esk31_0,esk32_0)
& r1(esk32_0,esk33_0)
& r1(esk33_0,esk34_0)
& ~ p1(esk34_0)
& ( ~ r1(esk34_0,X120)
| p1(X120) )
& ( r1(X123,esk35_3(X121,X122,X123))
| ~ r1(X122,X123)
| p1(X122)
| ~ r1(X121,X122)
| ~ r1(esk1_0,X121) )
& ( ~ p1(esk35_3(X121,X122,X123))
| ~ r1(X122,X123)
| p1(X122)
| ~ r1(X121,X122)
| ~ r1(esk1_0,X121) )
& ( r1(X127,esk36_3(X125,X126,X127))
| ~ r1(X126,X127)
| ~ p1(X126)
| ~ r1(X125,X126)
| ~ r1(esk1_0,X125) )
& ( p1(esk36_3(X125,X126,X127))
| ~ r1(X126,X127)
| ~ p1(X126)
| ~ r1(X125,X126)
| ~ r1(esk1_0,X125) )
& ( r1(X130,esk38_2(X129,X130))
| r1(X132,esk37_4(X129,X130,X131,X132))
| ~ r1(X131,X132)
| ~ r1(X130,X131)
| ~ r1(X129,X130)
| ~ r1(esk1_0,X129) )
& ( ~ r1(esk38_2(X129,X130),X135)
| ~ p1(X135)
| r1(X132,esk37_4(X129,X130,X131,X132))
| ~ r1(X131,X132)
| ~ r1(X130,X131)
| ~ r1(X129,X130)
| ~ r1(esk1_0,X129) )
& ( r1(X130,esk38_2(X129,X130))
| p1(esk37_4(X129,X130,X131,X132))
| ~ r1(X131,X132)
| ~ r1(X130,X131)
| ~ r1(X129,X130)
| ~ r1(esk1_0,X129) )
& ( ~ r1(esk38_2(X129,X130),X135)
| ~ p1(X135)
| p1(esk37_4(X129,X130,X131,X132))
| ~ r1(X131,X132)
| ~ r1(X130,X131)
| ~ r1(X129,X130)
| ~ r1(esk1_0,X129) )
& ( r1(X137,esk39_2(X136,X137))
| ~ r1(X137,X138)
| ~ r1(X138,X139)
| p1(X139)
| ~ r1(X136,X137)
| ~ r1(esk1_0,X136) )
& ( ~ p1(esk39_2(X136,X137))
| ~ r1(X137,X138)
| ~ r1(X138,X139)
| p1(X139)
| ~ r1(X136,X137)
| ~ r1(esk1_0,X136) )
& ( ~ r1(esk1_0,X141)
| ~ r1(X141,X142)
| r1(X142,esk40_2(X141,X142)) )
& r1(esk1_0,esk41_0)
& r1(esk41_0,esk42_0)
& r1(esk42_0,esk43_0)
& r1(esk43_0,esk44_0)
& r1(esk44_0,esk45_0)
& ~ p1(esk45_0)
& ( ~ r1(esk45_0,X149)
| p1(X149) )
& ( r1(X151,esk46_2(X150,X151))
| ~ r1(X150,X151)
| p1(X150)
| ~ r1(esk1_0,X150) )
& ( ~ p1(esk46_2(X150,X151))
| ~ r1(X150,X151)
| p1(X150)
| ~ r1(esk1_0,X150) )
& ( r1(X154,esk47_2(X153,X154))
| ~ r1(X153,X154)
| ~ p1(X153)
| ~ r1(esk1_0,X153) )
& ( p1(esk47_2(X153,X154))
| ~ r1(X153,X154)
| ~ p1(X153)
| ~ r1(esk1_0,X153) )
& ( r1(X156,esk49_1(X156))
| r1(X158,esk48_3(X156,X157,X158))
| ~ r1(X157,X158)
| ~ r1(X156,X157)
| ~ r1(esk1_0,X156) )
& ( ~ r1(esk49_1(X156),X161)
| ~ p1(X161)
| r1(X158,esk48_3(X156,X157,X158))
| ~ r1(X157,X158)
| ~ r1(X156,X157)
| ~ r1(esk1_0,X156) )
& ( r1(X156,esk49_1(X156))
| p1(esk48_3(X156,X157,X158))
| ~ r1(X157,X158)
| ~ r1(X156,X157)
| ~ r1(esk1_0,X156) )
& ( ~ r1(esk49_1(X156),X161)
| ~ p1(X161)
| p1(esk48_3(X156,X157,X158))
| ~ r1(X157,X158)
| ~ r1(X156,X157)
| ~ r1(esk1_0,X156) )
& ( r1(X162,esk50_1(X162))
| ~ r1(X162,X163)
| ~ r1(X163,X164)
| p1(X164)
| ~ r1(esk1_0,X162) )
& ( ~ p1(esk50_1(X162))
| ~ r1(X162,X163)
| ~ r1(X163,X164)
| p1(X164)
| ~ r1(esk1_0,X162) )
& ( ~ r1(esk1_0,X166)
| r1(X166,esk51_1(X166)) )
& r1(esk1_0,esk52_0)
& r1(esk52_0,esk53_0)
& r1(esk53_0,esk54_0)
& r1(esk54_0,esk55_0)
& r1(esk55_0,esk56_0)
& ~ p1(esk56_0)
& ( ~ r1(esk56_0,X173)
| p1(X173) ) ),
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_1])])])])]) ).
cnf(c_0_3,negated_conjecture,
( r1(X1,esk13_5(X2,X3,X4,X5,X1))
| p1(X5)
| ~ r1(X5,X1)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4,negated_conjecture,
r1(esk1_0,esk52_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_5,negated_conjecture,
( p1(X1)
| r1(X2,esk13_5(esk52_0,X3,X4,X1,X2))
| ~ r1(esk52_0,X3)
| ~ r1(X1,X2)
| ~ r1(X4,X1)
| ~ r1(X3,X4) ),
inference(spm,[status(thm)],[c_0_3,c_0_4]) ).
cnf(c_0_6,negated_conjecture,
r1(esk52_0,esk53_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_7,negated_conjecture,
( p1(X1)
| r1(X2,esk13_5(esk52_0,esk53_0,X3,X1,X2))
| ~ r1(esk53_0,X3)
| ~ r1(X1,X2)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_5,c_0_6]) ).
cnf(c_0_8,negated_conjecture,
r1(esk53_0,esk54_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_9,negated_conjecture,
( r1(X1,esk14_5(X2,X3,X4,X5,X1))
| ~ r1(X5,X1)
| ~ p1(X5)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_10,negated_conjecture,
( p1(X1)
| r1(X2,esk13_5(esk52_0,esk53_0,esk54_0,X1,X2))
| ~ r1(esk54_0,X1)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_7,c_0_8]) ).
cnf(c_0_11,negated_conjecture,
r1(esk54_0,esk55_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_12,negated_conjecture,
( r1(X1,esk6_5(X2,X3,X4,X5,X1))
| p1(X7)
| ~ r1(X1,X6)
| ~ r1(X6,X7)
| ~ r1(X5,X1)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_13,negated_conjecture,
( r1(X1,esk14_5(esk52_0,X2,X3,X4,X1))
| ~ p1(X4)
| ~ r1(esk52_0,X2)
| ~ r1(X4,X1)
| ~ r1(X3,X4)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_9,c_0_4]) ).
cnf(c_0_14,negated_conjecture,
( p1(esk55_0)
| r1(X1,esk13_5(esk52_0,esk53_0,esk54_0,esk55_0,X1))
| ~ r1(esk55_0,X1) ),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,negated_conjecture,
r1(esk55_0,esk56_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_16,negated_conjecture,
( r1(X1,esk2_6(X2,X3,X4,X5,X6,X1))
| p1(X6)
| ~ r1(X6,X1)
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(esk1_0,X2) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_17,negated_conjecture,
( p1(X1)
| r1(X2,esk6_5(esk52_0,X3,X4,X5,X2))
| ~ r1(esk52_0,X3)
| ~ r1(X6,X1)
| ~ r1(X5,X2)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X6) ),
inference(spm,[status(thm)],[c_0_12,c_0_4]) ).
cnf(c_0_18,negated_conjecture,
( r1(X1,esk14_5(esk52_0,esk53_0,X2,X3,X1))
| ~ p1(X3)
| ~ r1(esk53_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_13,c_0_6]) ).
cnf(c_0_19,negated_conjecture,
( p1(X1)
| ~ r1(esk56_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_20,negated_conjecture,
( p1(esk55_0)
| r1(esk56_0,esk13_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0)) ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_21,negated_conjecture,
( p1(X1)
| r1(X2,esk2_6(esk52_0,X3,X4,X5,X1,X2))
| ~ r1(esk52_0,X3)
| ~ r1(X1,X2)
| ~ r1(X5,X1)
| ~ r1(X4,X5)
| ~ r1(X3,X4) ),
inference(spm,[status(thm)],[c_0_16,c_0_4]) ).
cnf(c_0_22,negated_conjecture,
( p1(X1)
| r1(X2,esk6_5(esk52_0,esk53_0,X3,X4,X2))
| ~ r1(esk53_0,X3)
| ~ r1(X5,X1)
| ~ r1(X4,X2)
| ~ r1(X3,X4)
| ~ r1(X2,X5) ),
inference(spm,[status(thm)],[c_0_17,c_0_6]) ).
cnf(c_0_23,negated_conjecture,
( r1(X1,esk14_5(esk52_0,esk53_0,esk54_0,X2,X1))
| ~ p1(X2)
| ~ r1(esk54_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_18,c_0_8]) ).
cnf(c_0_24,negated_conjecture,
( p1(X4)
| ~ p1(esk13_5(X1,X2,X3,X4,X5))
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_25,negated_conjecture,
( p1(esk13_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))
| p1(esk55_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_26,negated_conjecture,
( p1(X1)
| r1(X2,esk2_6(esk52_0,esk53_0,X3,X4,X1,X2))
| ~ r1(esk53_0,X3)
| ~ r1(X1,X2)
| ~ r1(X4,X1)
| ~ r1(X3,X4) ),
inference(spm,[status(thm)],[c_0_21,c_0_6]) ).
cnf(c_0_27,negated_conjecture,
( p1(X1)
| r1(X2,esk6_5(esk52_0,esk53_0,esk54_0,X3,X2))
| ~ r1(esk54_0,X3)
| ~ r1(X4,X1)
| ~ r1(X3,X2)
| ~ r1(X2,X4) ),
inference(spm,[status(thm)],[c_0_22,c_0_8]) ).
cnf(c_0_28,negated_conjecture,
( r1(X1,esk14_5(esk52_0,esk53_0,esk54_0,esk55_0,X1))
| ~ p1(esk55_0)
| ~ r1(esk55_0,X1) ),
inference(spm,[status(thm)],[c_0_23,c_0_11]) ).
cnf(c_0_29,negated_conjecture,
p1(esk55_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_4]),c_0_15]),c_0_11]),c_0_8]),c_0_6])]) ).
cnf(c_0_30,negated_conjecture,
( p1(X1)
| r1(X2,esk2_6(esk52_0,esk53_0,esk54_0,X3,X1,X2))
| ~ r1(esk54_0,X3)
| ~ r1(X1,X2)
| ~ r1(X3,X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_8]) ).
cnf(c_0_31,negated_conjecture,
( p1(X1)
| r1(X2,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,X2))
| ~ r1(esk55_0,X2)
| ~ r1(X3,X1)
| ~ r1(X2,X3) ),
inference(spm,[status(thm)],[c_0_27,c_0_11]) ).
cnf(c_0_32,negated_conjecture,
( r1(X1,esk14_5(esk52_0,esk53_0,esk54_0,esk55_0,X1))
| ~ r1(esk55_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]) ).
cnf(c_0_33,negated_conjecture,
( p1(X1)
| r1(X2,esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,X1,X2))
| ~ r1(esk55_0,X1)
| ~ r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_30,c_0_11]) ).
cnf(c_0_34,negated_conjecture,
~ p1(esk56_0),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_35,negated_conjecture,
( p1(X1)
| r1(esk56_0,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))
| ~ r1(esk56_0,X2)
| ~ r1(X2,X1) ),
inference(spm,[status(thm)],[c_0_31,c_0_15]) ).
cnf(c_0_36,negated_conjecture,
r1(esk56_0,esk14_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0)),
inference(spm,[status(thm)],[c_0_32,c_0_15]) ).
cnf(c_0_37,negated_conjecture,
( r1(X1,esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0,X1))
| ~ r1(esk56_0,X1) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_15]),c_0_34]) ).
cnf(c_0_38,negated_conjecture,
( p1(X1)
| r1(esk56_0,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))
| ~ r1(esk14_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0),X1) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_39,negated_conjecture,
r1(esk14_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0),esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0,esk14_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))),
inference(spm,[status(thm)],[c_0_37,c_0_36]) ).
cnf(c_0_40,negated_conjecture,
( p1(X5)
| ~ p1(esk2_6(X1,X2,X3,X4,X5,X6))
| ~ r1(X5,X6)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_41,negated_conjecture,
( p1(esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0,esk14_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0)))
| r1(esk56_0,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0)) ),
inference(spm,[status(thm)],[c_0_38,c_0_39]) ).
cnf(c_0_42,negated_conjecture,
r1(esk56_0,esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_4]),c_0_36]),c_0_15]),c_0_11]),c_0_8]),c_0_6])]),c_0_34]) ).
cnf(c_0_43,negated_conjecture,
( p1(X7)
| ~ p1(esk6_5(X1,X2,X3,X4,X5))
| ~ r1(X5,X6)
| ~ r1(X6,X7)
| ~ r1(X4,X5)
| ~ r1(X3,X4)
| ~ r1(X2,X3)
| ~ r1(X1,X2)
| ~ r1(esk1_0,X1) ),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_44,negated_conjecture,
p1(esk6_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0)),
inference(spm,[status(thm)],[c_0_19,c_0_42]) ).
cnf(c_0_45,negated_conjecture,
( p1(X1)
| ~ r1(esk56_0,X2)
| ~ r1(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_4]),c_0_15]),c_0_11]),c_0_8]),c_0_6])]) ).
cnf(c_0_46,negated_conjecture,
( p1(X1)
| ~ r1(esk14_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0),X1) ),
inference(spm,[status(thm)],[c_0_45,c_0_36]) ).
cnf(c_0_47,negated_conjecture,
p1(esk2_6(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0,esk14_5(esk52_0,esk53_0,esk54_0,esk55_0,esk56_0))),
inference(spm,[status(thm)],[c_0_46,c_0_39]) ).
cnf(c_0_48,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_47]),c_0_4]),c_0_36]),c_0_15]),c_0_11]),c_0_8]),c_0_6])]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL638+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 24 18:07:24 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof: theBenchmark
% 0.75/0.81 % Version : CSE_E---1.5
% 0.75/0.81 % Problem : theBenchmark.p
% 0.75/0.81 % Proof found
% 0.75/0.81 % SZS status Theorem for theBenchmark.p
% 0.75/0.81 % SZS output start Proof
% See solution above
% 0.77/0.82 % Total time : 0.250000 s
% 0.77/0.82 % SZS output end Proof
% 0.77/0.82 % Total time : 0.254000 s
%------------------------------------------------------------------------------