TSTP Solution File: SEV109^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV109^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n018.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 : 600s
% DateTime : Tue Jul 19 17:35:08 EDT 2022
% Result : Theorem 0.19s 0.57s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 14
% Syntax : Number of formulae : 136 ( 41 unt; 13 typ; 0 def)
% Number of atoms : 1029 ( 265 equ; 0 cnn)
% Maximal formula atoms : 4 ( 8 avg)
% Number of connectives : 3706 ( 608 ~; 490 |; 90 &;2406 @)
% ( 0 <=>; 112 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 183 ( 183 >; 0 *; 0 +; 0 <<)
% Number of symbols : 15 ( 12 usr; 4 con; 0-4 aty)
% Number of variables : 727 ( 0 ^ 727 !; 0 ?; 727 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK10_SY161,type,
sK10_SY161: ( a > a > $o ) > a ).
thf(tp_sK11_SY58,type,
sK11_SY58: ( a > a > $o ) > a ).
thf(tp_sK12_SY162,type,
sK12_SY162: ( a > a > $o ) > a ).
thf(tp_sK1_R,type,
sK1_R: a > a > $o ).
thf(tp_sK2_SY28,type,
sK2_SY28: a > a > $o ).
thf(tp_sK3_SY55,type,
sK3_SY55: a ).
thf(tp_sK4_SY81,type,
sK4_SY81: a ).
thf(tp_sK5_SY112,type,
sK5_SY112: a > a > $o ).
thf(tp_sK6_SY72,type,
sK6_SY72: a > a > a > a > $o ).
thf(tp_sK7_SY40,type,
sK7_SY40: a > a > a > a > $o ).
thf(tp_sK8_Xx0,type,
sK8_Xx0: ( a > a > $o ) > a ).
thf(tp_sK9_SY159,type,
sK9_SY159: ( a > a > $o ) > a ).
thf(1,conjecture,
! [R: a > a > $o,S: a > a > $o,Xx: a,Xy: a] :
( ! [Xq1: a > a > $o] :
( ( ! [Xs: a,Xt: a] :
( ( ( R @ Xs @ Xt )
| ( S @ Xs @ Xt ) )
=> ( Xq1 @ Xs @ Xt ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xq1 @ Xx0 @ Xy0 )
& ( Xq1 @ Xy0 @ Xz ) )
=> ( Xq1 @ Xx0 @ Xz ) ) )
=> ( Xq1 @ Xx @ Xy ) )
=> ! [Xp1: a > a > $o] :
( ( ! [Xss: a,Xtt: a] :
( ( ! [Xq2: a > a > $o] :
( ( ! [Xsss: a,Xttt: a] :
( ( R @ Xsss @ Xttt )
=> ( Xq2 @ Xsss @ Xttt ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xq2 @ Xx0 @ Xy0 )
& ( Xq2 @ Xy0 @ Xz ) )
=> ( Xq2 @ Xx0 @ Xz ) ) )
=> ( Xq2 @ Xss @ Xtt ) )
| ! [Xq3: a > a > $o] :
( ( ! [Xssss: a,Xtttt: a] :
( ( S @ Xssss @ Xtttt )
=> ( Xq3 @ Xssss @ Xtttt ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xq3 @ Xx0 @ Xy0 )
& ( Xq3 @ Xy0 @ Xz ) )
=> ( Xq3 @ Xx0 @ Xz ) ) )
=> ( Xq3 @ Xss @ Xtt ) ) )
=> ( Xp1 @ Xss @ Xtt ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xp1 @ Xx0 @ Xy0 )
& ( Xp1 @ Xy0 @ Xz ) )
=> ( Xp1 @ Xx0 @ Xz ) ) )
=> ( Xp1 @ Xx @ Xy ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM251F_pme) ).
thf(2,negated_conjecture,
( ( ! [R: a > a > $o,S: a > a > $o,Xx: a,Xy: a] :
( ! [Xq1: a > a > $o] :
( ( ! [Xs: a,Xt: a] :
( ( ( R @ Xs @ Xt )
| ( S @ Xs @ Xt ) )
=> ( Xq1 @ Xs @ Xt ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xq1 @ Xx0 @ Xy0 )
& ( Xq1 @ Xy0 @ Xz ) )
=> ( Xq1 @ Xx0 @ Xz ) ) )
=> ( Xq1 @ Xx @ Xy ) )
=> ! [Xp1: a > a > $o] :
( ( ! [Xss: a,Xtt: a] :
( ( ! [Xq2: a > a > $o] :
( ( ! [Xsss: a,Xttt: a] :
( ( R @ Xsss @ Xttt )
=> ( Xq2 @ Xsss @ Xttt ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xq2 @ Xx0 @ Xy0 )
& ( Xq2 @ Xy0 @ Xz ) )
=> ( Xq2 @ Xx0 @ Xz ) ) )
=> ( Xq2 @ Xss @ Xtt ) )
| ! [Xq3: a > a > $o] :
( ( ! [Xssss: a,Xtttt: a] :
( ( S @ Xssss @ Xtttt )
=> ( Xq3 @ Xssss @ Xtttt ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xq3 @ Xx0 @ Xy0 )
& ( Xq3 @ Xy0 @ Xz ) )
=> ( Xq3 @ Xx0 @ Xz ) ) )
=> ( Xq3 @ Xss @ Xtt ) ) )
=> ( Xp1 @ Xss @ Xtt ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xp1 @ Xx0 @ Xy0 )
& ( Xp1 @ Xy0 @ Xz ) )
=> ( Xp1 @ Xx0 @ Xz ) ) )
=> ( Xp1 @ Xx @ Xy ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [R: a > a > $o,S: a > a > $o,Xx: a,Xy: a] :
( ! [Xq1: a > a > $o] :
( ( ! [Xs: a,Xt: a] :
( ( ( R @ Xs @ Xt )
| ( S @ Xs @ Xt ) )
=> ( Xq1 @ Xs @ Xt ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xq1 @ Xx0 @ Xy0 )
& ( Xq1 @ Xy0 @ Xz ) )
=> ( Xq1 @ Xx0 @ Xz ) ) )
=> ( Xq1 @ Xx @ Xy ) )
=> ! [Xp1: a > a > $o] :
( ( ! [Xss: a,Xtt: a] :
( ( ! [Xq2: a > a > $o] :
( ( ! [Xsss: a,Xttt: a] :
( ( R @ Xsss @ Xttt )
=> ( Xq2 @ Xsss @ Xttt ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xq2 @ Xx0 @ Xy0 )
& ( Xq2 @ Xy0 @ Xz ) )
=> ( Xq2 @ Xx0 @ Xz ) ) )
=> ( Xq2 @ Xss @ Xtt ) )
| ! [Xq3: a > a > $o] :
( ( ! [Xssss: a,Xtttt: a] :
( ( S @ Xssss @ Xtttt )
=> ( Xq3 @ Xssss @ Xtttt ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xq3 @ Xx0 @ Xy0 )
& ( Xq3 @ Xy0 @ Xz ) )
=> ( Xq3 @ Xx0 @ Xz ) ) )
=> ( Xq3 @ Xss @ Xtt ) ) )
=> ( Xp1 @ Xss @ Xtt ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xp1 @ Xx0 @ Xy0 )
& ( Xp1 @ Xy0 @ Xz ) )
=> ( Xp1 @ Xx0 @ Xz ) ) )
=> ( Xp1 @ Xx @ Xy ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY28: a > a > $o,SY29: a,SY30: a] :
( ! [SY31: a > a > $o] :
( ( ! [SY32: a,SY33: a] :
( ( ( sK1_R @ SY32 @ SY33 )
| ( SY28 @ SY32 @ SY33 ) )
=> ( SY31 @ SY32 @ SY33 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY31 @ Xx0 @ Xy0 )
& ( SY31 @ Xy0 @ Xz ) )
=> ( SY31 @ Xx0 @ Xz ) ) )
=> ( SY31 @ SY29 @ SY30 ) )
=> ! [SY37: a > a > $o] :
( ( ! [SY38: a,SY39: a] :
( ( ! [SY40: a > a > $o] :
( ( ! [SY41: a,SY42: a] :
( ( sK1_R @ SY41 @ SY42 )
=> ( SY40 @ SY41 @ SY42 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY40 @ Xx0 @ Xy0 )
& ( SY40 @ Xy0 @ Xz ) )
=> ( SY40 @ Xx0 @ Xz ) ) )
=> ( SY40 @ SY38 @ SY39 ) )
| ! [Xq3: a > a > $o] :
( ( ! [Xssss: a,Xtttt: a] :
( ( SY28 @ Xssss @ Xtttt )
=> ( Xq3 @ Xssss @ Xtttt ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( Xq3 @ Xx0 @ Xy0 )
& ( Xq3 @ Xy0 @ Xz ) )
=> ( Xq3 @ Xx0 @ Xz ) ) )
=> ( Xq3 @ SY38 @ SY39 ) ) )
=> ( SY37 @ SY38 @ SY39 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY37 @ Xx0 @ Xy0 )
& ( SY37 @ Xy0 @ Xz ) )
=> ( SY37 @ Xx0 @ Xz ) ) )
=> ( SY37 @ SY29 @ SY30 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY55: a,SY56: a] :
( ! [SY57: a > a > $o] :
( ( ! [SY58: a,SY59: a] :
( ( ( sK1_R @ SY58 @ SY59 )
| ( sK2_SY28 @ SY58 @ SY59 ) )
=> ( SY57 @ SY58 @ SY59 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY57 @ Xx0 @ Xy0 )
& ( SY57 @ Xy0 @ Xz ) )
=> ( SY57 @ Xx0 @ Xz ) ) )
=> ( SY57 @ SY55 @ SY56 ) )
=> ! [SY63: a > a > $o] :
( ( ! [SY64: a,SY65: a] :
( ( ! [SY40: a > a > $o] :
( ( ! [SY41: a,SY42: a] :
( ( sK1_R @ SY41 @ SY42 )
=> ( SY40 @ SY41 @ SY42 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY40 @ Xx0 @ Xy0 )
& ( SY40 @ Xy0 @ Xz ) )
=> ( SY40 @ Xx0 @ Xz ) ) )
=> ( SY40 @ SY64 @ SY65 ) )
| ! [SY72: a > a > $o] :
( ( ! [SY73: a,SY74: a] :
( ( sK2_SY28 @ SY73 @ SY74 )
=> ( SY72 @ SY73 @ SY74 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY72 @ Xx0 @ Xy0 )
& ( SY72 @ Xy0 @ Xz ) )
=> ( SY72 @ Xx0 @ Xz ) ) )
=> ( SY72 @ SY64 @ SY65 ) ) )
=> ( SY63 @ SY64 @ SY65 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY63 @ Xx0 @ Xy0 )
& ( SY63 @ Xy0 @ Xz ) )
=> ( SY63 @ Xx0 @ Xz ) ) )
=> ( SY63 @ SY55 @ SY56 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY81: a] :
( ! [SY82: a > a > $o] :
( ( ! [SY58: a,SY59: a] :
( ( ( sK1_R @ SY58 @ SY59 )
| ( sK2_SY28 @ SY58 @ SY59 ) )
=> ( SY82 @ SY58 @ SY59 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY82 @ Xx0 @ Xy0 )
& ( SY82 @ Xy0 @ Xz ) )
=> ( SY82 @ Xx0 @ Xz ) ) )
=> ( SY82 @ sK3_SY55 @ SY81 ) )
=> ! [SY88: a > a > $o] :
( ( ! [SY64: a,SY65: a] :
( ( ! [SY40: a > a > $o] :
( ( ! [SY41: a,SY42: a] :
( ( sK1_R @ SY41 @ SY42 )
=> ( SY40 @ SY41 @ SY42 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY40 @ Xx0 @ Xy0 )
& ( SY40 @ Xy0 @ Xz ) )
=> ( SY40 @ Xx0 @ Xz ) ) )
=> ( SY40 @ SY64 @ SY65 ) )
| ! [SY72: a > a > $o] :
( ( ! [SY73: a,SY74: a] :
( ( sK2_SY28 @ SY73 @ SY74 )
=> ( SY72 @ SY73 @ SY74 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY72 @ Xx0 @ Xy0 )
& ( SY72 @ Xy0 @ Xz ) )
=> ( SY72 @ Xx0 @ Xz ) ) )
=> ( SY72 @ SY64 @ SY65 ) ) )
=> ( SY88 @ SY64 @ SY65 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY88 @ Xx0 @ Xy0 )
& ( SY88 @ Xy0 @ Xz ) )
=> ( SY88 @ Xx0 @ Xz ) ) )
=> ( SY88 @ sK3_SY55 @ SY81 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY106: a > a > $o] :
( ( ! [SY58: a,SY59: a] :
( ( ( sK1_R @ SY58 @ SY59 )
| ( sK2_SY28 @ SY58 @ SY59 ) )
=> ( SY106 @ SY58 @ SY59 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY106 @ Xx0 @ Xy0 )
& ( SY106 @ Xy0 @ Xz ) )
=> ( SY106 @ Xx0 @ Xz ) ) )
=> ( SY106 @ sK3_SY55 @ sK4_SY81 ) )
=> ! [SY112: a > a > $o] :
( ( ! [SY64: a,SY65: a] :
( ( ! [SY40: a > a > $o] :
( ( ! [SY41: a,SY42: a] :
( ( sK1_R @ SY41 @ SY42 )
=> ( SY40 @ SY41 @ SY42 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY40 @ Xx0 @ Xy0 )
& ( SY40 @ Xy0 @ Xz ) )
=> ( SY40 @ Xx0 @ Xz ) ) )
=> ( SY40 @ SY64 @ SY65 ) )
| ! [SY72: a > a > $o] :
( ( ! [SY73: a,SY74: a] :
( ( sK2_SY28 @ SY73 @ SY74 )
=> ( SY72 @ SY73 @ SY74 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY72 @ Xx0 @ Xy0 )
& ( SY72 @ Xy0 @ Xz ) )
=> ( SY72 @ Xx0 @ Xz ) ) )
=> ( SY72 @ SY64 @ SY65 ) ) )
=> ( SY112 @ SY64 @ SY65 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY112 @ Xx0 @ Xy0 )
& ( SY112 @ Xy0 @ Xz ) )
=> ( SY112 @ Xx0 @ Xz ) ) )
=> ( SY112 @ sK3_SY55 @ sK4_SY81 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [SY106: a > a > $o] :
( ( ! [SY58: a,SY59: a] :
( ( ( sK1_R @ SY58 @ SY59 )
| ( sK2_SY28 @ SY58 @ SY59 ) )
=> ( SY106 @ SY58 @ SY59 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY106 @ Xx0 @ Xy0 )
& ( SY106 @ Xy0 @ Xz ) )
=> ( SY106 @ Xx0 @ Xz ) ) )
=> ( SY106 @ sK3_SY55 @ sK4_SY81 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY112: a > a > $o] :
( ( ! [SY64: a,SY65: a] :
( ( ! [SY40: a > a > $o] :
( ( ! [SY41: a,SY42: a] :
( ( sK1_R @ SY41 @ SY42 )
=> ( SY40 @ SY41 @ SY42 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY40 @ Xx0 @ Xy0 )
& ( SY40 @ Xy0 @ Xz ) )
=> ( SY40 @ Xx0 @ Xz ) ) )
=> ( SY40 @ SY64 @ SY65 ) )
| ! [SY72: a > a > $o] :
( ( ! [SY73: a,SY74: a] :
( ( sK2_SY28 @ SY73 @ SY74 )
=> ( SY72 @ SY73 @ SY74 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY72 @ Xx0 @ Xy0 )
& ( SY72 @ Xy0 @ Xz ) )
=> ( SY72 @ Xx0 @ Xz ) ) )
=> ( SY72 @ SY64 @ SY65 ) ) )
=> ( SY112 @ SY64 @ SY65 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY112 @ Xx0 @ Xy0 )
& ( SY112 @ Xy0 @ Xz ) )
=> ( SY112 @ Xx0 @ Xz ) ) )
=> ( SY112 @ sK3_SY55 @ sK4_SY81 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(10,plain,
( ( ~ ! [SY112: a > a > $o] :
( ( ! [SY64: a,SY65: a] :
( ( ! [SY40: a > a > $o] :
( ( ! [SY41: a,SY42: a] :
( ( sK1_R @ SY41 @ SY42 )
=> ( SY40 @ SY41 @ SY42 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY40 @ Xx0 @ Xy0 )
& ( SY40 @ Xy0 @ Xz ) )
=> ( SY40 @ Xx0 @ Xz ) ) )
=> ( SY40 @ SY64 @ SY65 ) )
| ! [SY72: a > a > $o] :
( ( ! [SY73: a,SY74: a] :
( ( sK2_SY28 @ SY73 @ SY74 )
=> ( SY72 @ SY73 @ SY74 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY72 @ Xx0 @ Xy0 )
& ( SY72 @ Xy0 @ Xz ) )
=> ( SY72 @ Xx0 @ Xz ) ) )
=> ( SY72 @ SY64 @ SY65 ) ) )
=> ( SY112 @ SY64 @ SY65 ) )
& ! [Xx0: a,Xy0: a,Xz: a] :
( ( ( SY112 @ Xx0 @ Xy0 )
& ( SY112 @ Xy0 @ Xz ) )
=> ( SY112 @ Xx0 @ Xz ) ) )
=> ( SY112 @ sK3_SY55 @ sK4_SY81 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [SY130: a,SY131: a] :
( ( ! [SY154: a,SY155: a] :
( ~ ( sK1_R @ SY154 @ SY155 )
| ( sK7_SY40 @ SY131 @ SY130 @ SY154 @ SY155 ) )
& ! [SY156: a,SY157: a,SY158: a] :
( ~ ( sK7_SY40 @ SY131 @ SY130 @ SY156 @ SY157 )
| ~ ( sK7_SY40 @ SY131 @ SY130 @ SY157 @ SY158 )
| ( sK7_SY40 @ SY131 @ SY130 @ SY156 @ SY158 ) )
& ~ ( sK7_SY40 @ SY131 @ SY130 @ SY130 @ SY131 ) )
| ( sK5_SY112 @ SY130 @ SY131 ) )
& ! [SY138: a,SY139: a] :
( ( ! [SY149: a,SY150: a] :
( ~ ( sK2_SY28 @ SY149 @ SY150 )
| ( sK6_SY72 @ SY139 @ SY138 @ SY149 @ SY150 ) )
& ! [SY151: a,SY152: a,SY153: a] :
( ~ ( sK6_SY72 @ SY139 @ SY138 @ SY151 @ SY152 )
| ~ ( sK6_SY72 @ SY139 @ SY138 @ SY152 @ SY153 )
| ( sK6_SY72 @ SY139 @ SY138 @ SY151 @ SY153 ) )
& ~ ( sK6_SY72 @ SY139 @ SY138 @ SY138 @ SY139 ) )
| ( sK5_SY112 @ SY138 @ SY139 ) )
& ! [SY146: a,SY147: a,SY148: a] :
( ~ ( sK5_SY112 @ SY146 @ SY147 )
| ~ ( sK5_SY112 @ SY147 @ SY148 )
| ( sK5_SY112 @ SY146 @ SY148 ) )
& ~ ( sK5_SY112 @ sK3_SY55 @ sK4_SY81 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(12,plain,
( ( ! [SY106: a > a > $o] :
( ( ( ( sK1_R @ ( sK11_SY58 @ SY106 ) @ ( sK12_SY162 @ SY106 ) )
| ( sK2_SY28 @ ( sK11_SY58 @ SY106 ) @ ( sK12_SY162 @ SY106 ) ) )
& ~ ( SY106 @ ( sK11_SY58 @ SY106 ) @ ( sK12_SY162 @ SY106 ) ) )
| ( ( SY106 @ ( sK8_Xx0 @ SY106 ) @ ( sK9_SY159 @ SY106 ) )
& ( SY106 @ ( sK9_SY159 @ SY106 ) @ ( sK10_SY161 @ SY106 ) )
& ~ ( SY106 @ ( sK8_Xx0 @ SY106 ) @ ( sK10_SY161 @ SY106 ) ) )
| ( SY106 @ sK3_SY55 @ sK4_SY81 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(13,plain,
( ( ! [SY106: a > a > $o] :
( ( ( ( sK1_R @ ( sK11_SY58 @ SY106 ) @ ( sK12_SY162 @ SY106 ) )
| ( sK2_SY28 @ ( sK11_SY58 @ SY106 ) @ ( sK12_SY162 @ SY106 ) ) )
& ~ ( SY106 @ ( sK11_SY58 @ SY106 ) @ ( sK12_SY162 @ SY106 ) ) )
| ( ( SY106 @ ( sK8_Xx0 @ SY106 ) @ ( sK9_SY159 @ SY106 ) )
& ( SY106 @ ( sK9_SY159 @ SY106 ) @ ( sK10_SY161 @ SY106 ) )
& ~ ( SY106 @ ( sK8_Xx0 @ SY106 ) @ ( sK10_SY161 @ SY106 ) ) )
| ( SY106 @ sK3_SY55 @ sK4_SY81 ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(14,plain,
( ( ! [SY130: a,SY131: a] :
( ( ! [SY154: a,SY155: a] :
( ~ ( sK1_R @ SY154 @ SY155 )
| ( sK7_SY40 @ SY131 @ SY130 @ SY154 @ SY155 ) )
& ! [SY156: a,SY157: a,SY158: a] :
( ~ ( sK7_SY40 @ SY131 @ SY130 @ SY156 @ SY157 )
| ~ ( sK7_SY40 @ SY131 @ SY130 @ SY157 @ SY158 )
| ( sK7_SY40 @ SY131 @ SY130 @ SY156 @ SY158 ) )
& ~ ( sK7_SY40 @ SY131 @ SY130 @ SY130 @ SY131 ) )
| ( sK5_SY112 @ SY130 @ SY131 ) )
& ! [SY138: a,SY139: a] :
( ( ! [SY149: a,SY150: a] :
( ~ ( sK2_SY28 @ SY149 @ SY150 )
| ( sK6_SY72 @ SY139 @ SY138 @ SY149 @ SY150 ) )
& ! [SY151: a,SY152: a,SY153: a] :
( ~ ( sK6_SY72 @ SY139 @ SY138 @ SY151 @ SY152 )
| ~ ( sK6_SY72 @ SY139 @ SY138 @ SY152 @ SY153 )
| ( sK6_SY72 @ SY139 @ SY138 @ SY151 @ SY153 ) )
& ~ ( sK6_SY72 @ SY139 @ SY138 @ SY138 @ SY139 ) )
| ( sK5_SY112 @ SY138 @ SY139 ) )
& ! [SY146: a,SY147: a,SY148: a] :
( ~ ( sK5_SY112 @ SY146 @ SY147 )
| ~ ( sK5_SY112 @ SY147 @ SY148 )
| ( sK5_SY112 @ SY146 @ SY148 ) )
& ~ ( sK5_SY112 @ sK3_SY55 @ sK4_SY81 ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(15,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK1_R @ SX2 @ SX3 )
| ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ! [SX2: a,SX3: a,SX4: a] :
( ~ ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX3 )
| ~ ( sK7_SY40 @ SX1 @ SX0 @ SX3 @ SX4 )
| ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( sK7_SY40 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK5_SY112 @ SX0 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK2_SY28 @ SX2 @ SX3 )
| ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ! [SX2: a,SX3: a,SX4: a] :
( ~ ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX3 )
| ~ ( sK6_SY72 @ SX1 @ SX0 @ SX3 @ SX4 )
| ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( sK6_SY72 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK5_SY112 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK5_SY112 @ SX0 @ SX1 )
| ~ ( sK5_SY112 @ SX1 @ SX2 )
| ( sK5_SY112 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK5_SY112 @ sK3_SY55 @ sK4_SY81 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(16,plain,
( ( ! [SX0: a > a > $o] :
( ~ ( ~ ( ( sK1_R @ ( sK11_SY58 @ SX0 ) @ ( sK12_SY162 @ SX0 ) )
| ( sK2_SY28 @ ( sK11_SY58 @ SX0 ) @ ( sK12_SY162 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK11_SY58 @ SX0 ) @ ( sK12_SY162 @ SX0 ) ) )
| ~ ( ~ ~ ( ~ ( SX0 @ ( sK8_Xx0 @ SX0 ) @ ( sK9_SY159 @ SX0 ) )
| ~ ( SX0 @ ( sK9_SY159 @ SX0 ) @ ( sK10_SY161 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK8_Xx0 @ SX0 ) @ ( sK10_SY161 @ SX0 ) ) )
| ( SX0 @ sK3_SY55 @ sK4_SY81 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(17,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK1_R @ SX2 @ SX3 )
| ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ! [SX2: a,SX3: a,SX4: a] :
( ~ ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX3 )
| ~ ( sK7_SY40 @ SX1 @ SX0 @ SX3 @ SX4 )
| ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( sK7_SY40 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK5_SY112 @ SX0 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK2_SY28 @ SX2 @ SX3 )
| ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ! [SX2: a,SX3: a,SX4: a] :
( ~ ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX3 )
| ~ ( sK6_SY72 @ SX1 @ SX0 @ SX3 @ SX4 )
| ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( sK6_SY72 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK5_SY112 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK5_SY112 @ SX0 @ SX1 )
| ~ ( sK5_SY112 @ SX1 @ SX2 )
| ( sK5_SY112 @ SX0 @ SX2 ) ) )
| ~ ~ ( sK5_SY112 @ sK3_SY55 @ sK4_SY81 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(18,plain,
! [SV1: a > a > $o] :
( ( ~ ( ~ ( ( sK1_R @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
| ( sK2_SY28 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) ) )
| ~ ( ~ ~ ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
| ( SV1 @ sK3_SY55 @ sK4_SY81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK1_R @ SX2 @ SX3 )
| ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ! [SX2: a,SX3: a,SX4: a] :
( ~ ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX3 )
| ~ ( sK7_SY40 @ SX1 @ SX0 @ SX3 @ SX4 )
| ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( sK7_SY40 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK5_SY112 @ SX0 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK2_SY28 @ SX2 @ SX3 )
| ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ! [SX2: a,SX3: a,SX4: a] :
( ~ ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX3 )
| ~ ( sK6_SY72 @ SX1 @ SX0 @ SX3 @ SX4 )
| ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( sK6_SY72 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK5_SY112 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK5_SY112 @ SX0 @ SX1 )
| ~ ( sK5_SY112 @ SX1 @ SX2 )
| ( sK5_SY112 @ SX0 @ SX2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ~ ( sK5_SY112 @ sK3_SY55 @ sK4_SY81 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ( ( sK1_R @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
| ( sK2_SY28 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) ) )
| ~ ( ~ ~ ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK1_R @ SX2 @ SX3 )
| ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ! [SX2: a,SX3: a,SX4: a] :
( ~ ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX3 )
| ~ ( sK7_SY40 @ SX1 @ SX0 @ SX3 @ SX4 )
| ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( sK7_SY40 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK5_SY112 @ SX0 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK2_SY28 @ SX2 @ SX3 )
| ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ! [SX2: a,SX3: a,SX4: a] :
( ~ ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX3 )
| ~ ( sK6_SY72 @ SX1 @ SX0 @ SX3 @ SX4 )
| ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( sK6_SY72 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK5_SY112 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK5_SY112 @ SX0 @ SX1 )
| ~ ( sK5_SY112 @ SX1 @ SX2 )
| ( sK5_SY112 @ SX0 @ SX2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(23,plain,
( ( ~ ( sK5_SY112 @ sK3_SY55 @ sK4_SY81 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(24,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ( ( sK1_R @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
| ( sK2_SY28 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(25,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK1_R @ SX2 @ SX3 )
| ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ! [SX2: a,SX3: a,SX4: a] :
( ~ ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX3 )
| ~ ( sK7_SY40 @ SX1 @ SX0 @ SX3 @ SX4 )
| ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( sK7_SY40 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK5_SY112 @ SX0 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK2_SY28 @ SX2 @ SX3 )
| ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ! [SX2: a,SX3: a,SX4: a] :
( ~ ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX3 )
| ~ ( sK6_SY72 @ SX1 @ SX0 @ SX3 @ SX4 )
| ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( sK6_SY72 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK5_SY112 @ SX0 @ SX1 ) ) )
| ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK5_SY112 @ SX0 @ SX1 )
| ~ ( sK5_SY112 @ SX1 @ SX2 )
| ( sK5_SY112 @ SX0 @ SX2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
( ( sK5_SY112 @ sK3_SY55 @ sK4_SY81 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(27,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ( sK1_R @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
| ( sK2_SY28 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK1_R @ SX2 @ SX3 )
| ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ! [SX2: a,SX3: a,SX4: a] :
( ~ ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX3 )
| ~ ( sK7_SY40 @ SX1 @ SX0 @ SX3 @ SX4 )
| ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( sK7_SY40 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK5_SY112 @ SX0 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK2_SY28 @ SX2 @ SX3 )
| ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ! [SX2: a,SX3: a,SX4: a] :
( ~ ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX3 )
| ~ ( sK6_SY72 @ SX1 @ SX0 @ SX3 @ SX4 )
| ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( sK6_SY72 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK5_SY112 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(29,plain,
( ( ~ ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK5_SY112 @ SX0 @ SX1 )
| ~ ( sK5_SY112 @ SX1 @ SX2 )
| ( sK5_SY112 @ SX0 @ SX2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[25]) ).
thf(30,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ( sK1_R @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
| ( sK2_SY28 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(31,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( SV1 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(32,plain,
( ( ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK1_R @ SX2 @ SX3 )
| ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ! [SX2: a,SX3: a,SX4: a] :
( ~ ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX3 )
| ~ ( sK7_SY40 @ SX1 @ SX0 @ SX3 @ SX4 )
| ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( sK7_SY40 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK5_SY112 @ SX0 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK2_SY28 @ SX2 @ SX3 )
| ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ! [SX2: a,SX3: a,SX4: a] :
( ~ ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX3 )
| ~ ( sK6_SY72 @ SX1 @ SX0 @ SX3 @ SX4 )
| ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( sK6_SY72 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK5_SY112 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(33,plain,
( ( ! [SX0: a,SX1: a,SX2: a] :
( ~ ( sK5_SY112 @ SX0 @ SX1 )
| ~ ( sK5_SY112 @ SX1 @ SX2 )
| ( sK5_SY112 @ SX0 @ SX2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(34,plain,
! [SV1: a > a > $o] :
( ( ( ( sK1_R @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
| ( sK2_SY28 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[30]) ).
thf(35,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[31]) ).
thf(36,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK1_R @ SX2 @ SX3 )
| ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ! [SX2: a,SX3: a,SX4: a] :
( ~ ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX3 )
| ~ ( sK7_SY40 @ SX1 @ SX0 @ SX3 @ SX4 )
| ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( sK7_SY40 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK5_SY112 @ SX0 @ SX1 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK2_SY28 @ SX2 @ SX3 )
| ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ! [SX2: a,SX3: a,SX4: a] :
( ~ ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX3 )
| ~ ( sK6_SY72 @ SX1 @ SX0 @ SX3 @ SX4 )
| ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( sK6_SY72 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK5_SY112 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(37,plain,
! [SV2: a] :
( ( ! [SY163: a,SY164: a] :
( ~ ( sK5_SY112 @ SV2 @ SY163 )
| ~ ( sK5_SY112 @ SY163 @ SY164 )
| ( sK5_SY112 @ SV2 @ SY164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(38,plain,
! [SV1: a > a > $o] :
( ( ( sK1_R @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( sK2_SY28 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(39,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $false )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[35]) ).
thf(40,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK1_R @ SX2 @ SX3 )
| ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ! [SX2: a,SX3: a,SX4: a] :
( ~ ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX3 )
| ~ ( sK7_SY40 @ SX1 @ SX0 @ SX3 @ SX4 )
| ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( sK7_SY40 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK5_SY112 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(41,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK2_SY28 @ SX2 @ SX3 )
| ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ! [SX2: a,SX3: a,SX4: a] :
( ~ ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX3 )
| ~ ( sK6_SY72 @ SX1 @ SX0 @ SX3 @ SX4 )
| ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( sK6_SY72 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK5_SY112 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[36]) ).
thf(42,plain,
! [SV3: a,SV2: a] :
( ( ! [SY165: a] :
( ~ ( sK5_SY112 @ SV2 @ SV3 )
| ~ ( sK5_SY112 @ SV3 @ SY165 )
| ( sK5_SY112 @ SV2 @ SY165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(43,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
= $false )
| ( ( sK2_SY28 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( sK1_R @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(44,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $false )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(45,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK1_R @ SX2 @ SX3 )
| ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ! [SX2: a,SX3: a,SX4: a] :
( ~ ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX3 )
| ~ ( sK7_SY40 @ SX1 @ SX0 @ SX3 @ SX4 )
| ( sK7_SY40 @ SX1 @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( sK7_SY40 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK5_SY112 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(46,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( ~ ~ ( ~ ! [SX2: a,SX3: a] :
( ~ ( sK2_SY28 @ SX2 @ SX3 )
| ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX3 ) )
| ~ ! [SX2: a,SX3: a,SX4: a] :
( ~ ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX3 )
| ~ ( sK6_SY72 @ SX1 @ SX0 @ SX3 @ SX4 )
| ( sK6_SY72 @ SX1 @ SX0 @ SX2 @ SX4 ) ) )
| ~ ~ ( sK6_SY72 @ SX1 @ SX0 @ SX0 @ SX1 ) )
| ( sK5_SY112 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[41]) ).
thf(47,plain,
! [SV4: a,SV3: a,SV2: a] :
( ( ~ ( sK5_SY112 @ SV2 @ SV3 )
| ~ ( sK5_SY112 @ SV3 @ SV4 )
| ( sK5_SY112 @ SV2 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(48,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) ) )
= $false )
| ( ( sK2_SY28 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( sK1_R @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(49,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
= $false )
| ( ( sK2_SY28 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( sK1_R @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(50,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) ) )
= $false )
| ( ( SV1 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $false )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(51,plain,
! [SV1: a > a > $o] :
( ( ( ~ ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $false )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(52,plain,
! [SV5: a] :
( ( ! [SY166: a] :
( ~ ( ~ ~ ( ~ ! [SY167: a,SY168: a] :
( ~ ( sK1_R @ SY167 @ SY168 )
| ( sK7_SY40 @ SY166 @ SV5 @ SY167 @ SY168 ) )
| ~ ! [SY169: a,SY170: a,SY171: a] :
( ~ ( sK7_SY40 @ SY166 @ SV5 @ SY169 @ SY170 )
| ~ ( sK7_SY40 @ SY166 @ SV5 @ SY170 @ SY171 )
| ( sK7_SY40 @ SY166 @ SV5 @ SY169 @ SY171 ) ) )
| ~ ~ ( sK7_SY40 @ SY166 @ SV5 @ SV5 @ SY166 ) )
| ( sK5_SY112 @ SV5 @ SY166 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(53,plain,
! [SV6: a] :
( ( ! [SY172: a] :
( ~ ( ~ ~ ( ~ ! [SY173: a,SY174: a] :
( ~ ( sK2_SY28 @ SY173 @ SY174 )
| ( sK6_SY72 @ SY172 @ SV6 @ SY173 @ SY174 ) )
| ~ ! [SY175: a,SY176: a,SY177: a] :
( ~ ( sK6_SY72 @ SY172 @ SV6 @ SY175 @ SY176 )
| ~ ( sK6_SY72 @ SY172 @ SV6 @ SY176 @ SY177 )
| ( sK6_SY72 @ SY172 @ SV6 @ SY175 @ SY177 ) ) )
| ~ ~ ( sK6_SY72 @ SY172 @ SV6 @ SV6 @ SY172 ) )
| ( sK5_SY112 @ SV6 @ SY172 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(54,plain,
! [SV4: a,SV3: a,SV2: a] :
( ( ( ~ ( sK5_SY112 @ SV2 @ SV3 )
| ~ ( sK5_SY112 @ SV3 @ SV4 ) )
= $true )
| ( ( sK5_SY112 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(55,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) ) )
= $true )
| ( ( sK2_SY28 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( sK1_R @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(56,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
= $true )
| ( ( sK2_SY28 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( sK1_R @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(57,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) ) )
= $true )
| ( ( SV1 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $false )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(58,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
= $true )
| ( ( SV1 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $false )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(59,plain,
! [SV5: a,SV7: a] :
( ( ~ ( ~ ~ ( ~ ! [SY178: a,SY179: a] :
( ~ ( sK1_R @ SY178 @ SY179 )
| ( sK7_SY40 @ SV7 @ SV5 @ SY178 @ SY179 ) )
| ~ ! [SY180: a,SY181: a,SY182: a] :
( ~ ( sK7_SY40 @ SV7 @ SV5 @ SY180 @ SY181 )
| ~ ( sK7_SY40 @ SV7 @ SV5 @ SY181 @ SY182 )
| ( sK7_SY40 @ SV7 @ SV5 @ SY180 @ SY182 ) ) )
| ~ ~ ( sK7_SY40 @ SV7 @ SV5 @ SV5 @ SV7 ) )
| ( sK5_SY112 @ SV5 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(60,plain,
! [SV6: a,SV8: a] :
( ( ~ ( ~ ~ ( ~ ! [SY183: a,SY184: a] :
( ~ ( sK2_SY28 @ SY183 @ SY184 )
| ( sK6_SY72 @ SV8 @ SV6 @ SY183 @ SY184 ) )
| ~ ! [SY185: a,SY186: a,SY187: a] :
( ~ ( sK6_SY72 @ SV8 @ SV6 @ SY185 @ SY186 )
| ~ ( sK6_SY72 @ SV8 @ SV6 @ SY186 @ SY187 )
| ( sK6_SY72 @ SV8 @ SV6 @ SY185 @ SY187 ) ) )
| ~ ~ ( sK6_SY72 @ SV8 @ SV6 @ SV6 @ SV8 ) )
| ( sK5_SY112 @ SV6 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(61,plain,
! [SV4: a,SV3: a,SV2: a] :
( ( ( ~ ( sK5_SY112 @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( sK5_SY112 @ SV3 @ SV4 ) )
= $true )
| ( ( sK5_SY112 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(62,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
= $false )
| ( ( sK2_SY28 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( sK1_R @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(63,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK10_SY161 @ SV1 ) )
= $false )
| ( ( sK2_SY28 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( sK1_R @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(64,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) )
| ~ ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $false )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(65,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK10_SY161 @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $false )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(66,plain,
! [SV5: a,SV7: a] :
( ( ( ~ ( ~ ~ ( ~ ! [SY178: a,SY179: a] :
( ~ ( sK1_R @ SY178 @ SY179 )
| ( sK7_SY40 @ SV7 @ SV5 @ SY178 @ SY179 ) )
| ~ ! [SY180: a,SY181: a,SY182: a] :
( ~ ( sK7_SY40 @ SV7 @ SV5 @ SY180 @ SY181 )
| ~ ( sK7_SY40 @ SV7 @ SV5 @ SY181 @ SY182 )
| ( sK7_SY40 @ SV7 @ SV5 @ SY180 @ SY182 ) ) )
| ~ ~ ( sK7_SY40 @ SV7 @ SV5 @ SV5 @ SV7 ) ) )
= $true )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(67,plain,
! [SV6: a,SV8: a] :
( ( ( ~ ( ~ ~ ( ~ ! [SY183: a,SY184: a] :
( ~ ( sK2_SY28 @ SY183 @ SY184 )
| ( sK6_SY72 @ SV8 @ SV6 @ SY183 @ SY184 ) )
| ~ ! [SY185: a,SY186: a,SY187: a] :
( ~ ( sK6_SY72 @ SV8 @ SV6 @ SY185 @ SY186 )
| ~ ( sK6_SY72 @ SV8 @ SV6 @ SY186 @ SY187 )
| ( sK6_SY72 @ SV8 @ SV6 @ SY185 @ SY187 ) ) )
| ~ ~ ( sK6_SY72 @ SV8 @ SV6 @ SV6 @ SV8 ) ) )
= $true )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(68,plain,
! [SV4: a,SV3: a,SV2: a] :
( ( ( sK5_SY112 @ SV2 @ SV3 )
= $false )
| ( ( ~ ( sK5_SY112 @ SV3 @ SV4 ) )
= $true )
| ( ( sK5_SY112 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(69,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) ) )
= $false )
| ( ( sK2_SY28 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( sK1_R @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(70,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
= $false )
| ( ( sK2_SY28 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( sK1_R @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[62]) ).
thf(71,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $false )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(72,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) ) )
= $false )
| ( ( SV1 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $false )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[64]) ).
thf(73,plain,
! [SV5: a,SV7: a] :
( ( ( ~ ~ ( ~ ! [SY178: a,SY179: a] :
( ~ ( sK1_R @ SY178 @ SY179 )
| ( sK7_SY40 @ SV7 @ SV5 @ SY178 @ SY179 ) )
| ~ ! [SY180: a,SY181: a,SY182: a] :
( ~ ( sK7_SY40 @ SV7 @ SV5 @ SY180 @ SY181 )
| ~ ( sK7_SY40 @ SV7 @ SV5 @ SY181 @ SY182 )
| ( sK7_SY40 @ SV7 @ SV5 @ SY180 @ SY182 ) ) )
| ~ ~ ( sK7_SY40 @ SV7 @ SV5 @ SV5 @ SV7 ) )
= $false )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(74,plain,
! [SV6: a,SV8: a] :
( ( ( ~ ~ ( ~ ! [SY183: a,SY184: a] :
( ~ ( sK2_SY28 @ SY183 @ SY184 )
| ( sK6_SY72 @ SV8 @ SV6 @ SY183 @ SY184 ) )
| ~ ! [SY185: a,SY186: a,SY187: a] :
( ~ ( sK6_SY72 @ SV8 @ SV6 @ SY185 @ SY186 )
| ~ ( sK6_SY72 @ SV8 @ SV6 @ SY186 @ SY187 )
| ( sK6_SY72 @ SV8 @ SV6 @ SY185 @ SY187 ) ) )
| ~ ~ ( sK6_SY72 @ SV8 @ SV6 @ SV6 @ SV8 ) )
= $false )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(75,plain,
! [SV2: a,SV4: a,SV3: a] :
( ( ( sK5_SY112 @ SV3 @ SV4 )
= $false )
| ( ( sK5_SY112 @ SV2 @ SV3 )
= $false )
| ( ( sK5_SY112 @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(76,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) )
= $true )
| ( ( sK2_SY28 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( sK1_R @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(77,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) )
= $true )
| ( ( sK2_SY28 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( sK1_R @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $true )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[70]) ).
thf(78,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK8_Xx0 @ SV1 ) @ ( sK9_SY159 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $false )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[71]) ).
thf(79,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK9_SY159 @ SV1 ) @ ( sK10_SY161 @ SV1 ) )
= $true )
| ( ( SV1 @ ( sK11_SY58 @ SV1 ) @ ( sK12_SY162 @ SV1 ) )
= $false )
| ( ( SV1 @ sK3_SY55 @ sK4_SY81 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[72]) ).
thf(80,plain,
! [SV5: a,SV7: a] :
( ( ( ~ ~ ( ~ ! [SY178: a,SY179: a] :
( ~ ( sK1_R @ SY178 @ SY179 )
| ( sK7_SY40 @ SV7 @ SV5 @ SY178 @ SY179 ) )
| ~ ! [SY180: a,SY181: a,SY182: a] :
( ~ ( sK7_SY40 @ SV7 @ SV5 @ SY180 @ SY181 )
| ~ ( sK7_SY40 @ SV7 @ SV5 @ SY181 @ SY182 )
| ( sK7_SY40 @ SV7 @ SV5 @ SY180 @ SY182 ) ) ) )
= $false )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(81,plain,
! [SV5: a,SV7: a] :
( ( ( ~ ~ ( sK7_SY40 @ SV7 @ SV5 @ SV5 @ SV7 ) )
= $false )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[73]) ).
thf(82,plain,
! [SV6: a,SV8: a] :
( ( ( ~ ~ ( ~ ! [SY183: a,SY184: a] :
( ~ ( sK2_SY28 @ SY183 @ SY184 )
| ( sK6_SY72 @ SV8 @ SV6 @ SY183 @ SY184 ) )
| ~ ! [SY185: a,SY186: a,SY187: a] :
( ~ ( sK6_SY72 @ SV8 @ SV6 @ SY185 @ SY186 )
| ~ ( sK6_SY72 @ SV8 @ SV6 @ SY186 @ SY187 )
| ( sK6_SY72 @ SV8 @ SV6 @ SY185 @ SY187 ) ) ) )
= $false )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(83,plain,
! [SV6: a,SV8: a] :
( ( ( ~ ~ ( sK6_SY72 @ SV8 @ SV6 @ SV6 @ SV8 ) )
= $false )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[74]) ).
thf(84,plain,
! [SV5: a,SV7: a] :
( ( ( ~ ( ~ ! [SY178: a,SY179: a] :
( ~ ( sK1_R @ SY178 @ SY179 )
| ( sK7_SY40 @ SV7 @ SV5 @ SY178 @ SY179 ) )
| ~ ! [SY180: a,SY181: a,SY182: a] :
( ~ ( sK7_SY40 @ SV7 @ SV5 @ SY180 @ SY181 )
| ~ ( sK7_SY40 @ SV7 @ SV5 @ SY181 @ SY182 )
| ( sK7_SY40 @ SV7 @ SV5 @ SY180 @ SY182 ) ) ) )
= $true )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(85,plain,
! [SV5: a,SV7: a] :
( ( ( ~ ( sK7_SY40 @ SV7 @ SV5 @ SV5 @ SV7 ) )
= $true )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[81]) ).
thf(86,plain,
! [SV6: a,SV8: a] :
( ( ( ~ ( ~ ! [SY183: a,SY184: a] :
( ~ ( sK2_SY28 @ SY183 @ SY184 )
| ( sK6_SY72 @ SV8 @ SV6 @ SY183 @ SY184 ) )
| ~ ! [SY185: a,SY186: a,SY187: a] :
( ~ ( sK6_SY72 @ SV8 @ SV6 @ SY185 @ SY186 )
| ~ ( sK6_SY72 @ SV8 @ SV6 @ SY186 @ SY187 )
| ( sK6_SY72 @ SV8 @ SV6 @ SY185 @ SY187 ) ) ) )
= $true )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(87,plain,
! [SV6: a,SV8: a] :
( ( ( ~ ( sK6_SY72 @ SV8 @ SV6 @ SV6 @ SV8 ) )
= $true )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(88,plain,
! [SV5: a,SV7: a] :
( ( ( ~ ! [SY178: a,SY179: a] :
( ~ ( sK1_R @ SY178 @ SY179 )
| ( sK7_SY40 @ SV7 @ SV5 @ SY178 @ SY179 ) )
| ~ ! [SY180: a,SY181: a,SY182: a] :
( ~ ( sK7_SY40 @ SV7 @ SV5 @ SY180 @ SY181 )
| ~ ( sK7_SY40 @ SV7 @ SV5 @ SY181 @ SY182 )
| ( sK7_SY40 @ SV7 @ SV5 @ SY180 @ SY182 ) ) )
= $false )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(89,plain,
! [SV5: a,SV7: a] :
( ( ( sK7_SY40 @ SV7 @ SV5 @ SV5 @ SV7 )
= $false )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[85]) ).
thf(90,plain,
! [SV6: a,SV8: a] :
( ( ( ~ ! [SY183: a,SY184: a] :
( ~ ( sK2_SY28 @ SY183 @ SY184 )
| ( sK6_SY72 @ SV8 @ SV6 @ SY183 @ SY184 ) )
| ~ ! [SY185: a,SY186: a,SY187: a] :
( ~ ( sK6_SY72 @ SV8 @ SV6 @ SY185 @ SY186 )
| ~ ( sK6_SY72 @ SV8 @ SV6 @ SY186 @ SY187 )
| ( sK6_SY72 @ SV8 @ SV6 @ SY185 @ SY187 ) ) )
= $false )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(91,plain,
! [SV6: a,SV8: a] :
( ( ( sK6_SY72 @ SV8 @ SV6 @ SV6 @ SV8 )
= $false )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[87]) ).
thf(92,plain,
! [SV5: a,SV7: a] :
( ( ( ~ ! [SY178: a,SY179: a] :
( ~ ( sK1_R @ SY178 @ SY179 )
| ( sK7_SY40 @ SV7 @ SV5 @ SY178 @ SY179 ) ) )
= $false )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(93,plain,
! [SV5: a,SV7: a] :
( ( ( ~ ! [SY180: a,SY181: a,SY182: a] :
( ~ ( sK7_SY40 @ SV7 @ SV5 @ SY180 @ SY181 )
| ~ ( sK7_SY40 @ SV7 @ SV5 @ SY181 @ SY182 )
| ( sK7_SY40 @ SV7 @ SV5 @ SY180 @ SY182 ) ) )
= $false )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[88]) ).
thf(94,plain,
! [SV6: a,SV8: a] :
( ( ( ~ ! [SY183: a,SY184: a] :
( ~ ( sK2_SY28 @ SY183 @ SY184 )
| ( sK6_SY72 @ SV8 @ SV6 @ SY183 @ SY184 ) ) )
= $false )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(95,plain,
! [SV6: a,SV8: a] :
( ( ( ~ ! [SY185: a,SY186: a,SY187: a] :
( ~ ( sK6_SY72 @ SV8 @ SV6 @ SY185 @ SY186 )
| ~ ( sK6_SY72 @ SV8 @ SV6 @ SY186 @ SY187 )
| ( sK6_SY72 @ SV8 @ SV6 @ SY185 @ SY187 ) ) )
= $false )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[90]) ).
thf(96,plain,
! [SV5: a,SV7: a] :
( ( ( ! [SY178: a,SY179: a] :
( ~ ( sK1_R @ SY178 @ SY179 )
| ( sK7_SY40 @ SV7 @ SV5 @ SY178 @ SY179 ) ) )
= $true )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[92]) ).
thf(97,plain,
! [SV5: a,SV7: a] :
( ( ( ! [SY180: a,SY181: a,SY182: a] :
( ~ ( sK7_SY40 @ SV7 @ SV5 @ SY180 @ SY181 )
| ~ ( sK7_SY40 @ SV7 @ SV5 @ SY181 @ SY182 )
| ( sK7_SY40 @ SV7 @ SV5 @ SY180 @ SY182 ) ) )
= $true )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[93]) ).
thf(98,plain,
! [SV6: a,SV8: a] :
( ( ( ! [SY183: a,SY184: a] :
( ~ ( sK2_SY28 @ SY183 @ SY184 )
| ( sK6_SY72 @ SV8 @ SV6 @ SY183 @ SY184 ) ) )
= $true )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[94]) ).
thf(99,plain,
! [SV6: a,SV8: a] :
( ( ( ! [SY185: a,SY186: a,SY187: a] :
( ~ ( sK6_SY72 @ SV8 @ SV6 @ SY185 @ SY186 )
| ~ ( sK6_SY72 @ SV8 @ SV6 @ SY186 @ SY187 )
| ( sK6_SY72 @ SV8 @ SV6 @ SY185 @ SY187 ) ) )
= $true )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[95]) ).
thf(100,plain,
! [SV5: a,SV7: a,SV9: a] :
( ( ( ! [SY188: a] :
( ~ ( sK1_R @ SV9 @ SY188 )
| ( sK7_SY40 @ SV7 @ SV5 @ SV9 @ SY188 ) ) )
= $true )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(101,plain,
! [SV10: a,SV5: a,SV7: a] :
( ( ( ! [SY189: a,SY190: a] :
( ~ ( sK7_SY40 @ SV7 @ SV5 @ SV10 @ SY189 )
| ~ ( sK7_SY40 @ SV7 @ SV5 @ SY189 @ SY190 )
| ( sK7_SY40 @ SV7 @ SV5 @ SV10 @ SY190 ) ) )
= $true )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(102,plain,
! [SV6: a,SV8: a,SV11: a] :
( ( ( ! [SY191: a] :
( ~ ( sK2_SY28 @ SV11 @ SY191 )
| ( sK6_SY72 @ SV8 @ SV6 @ SV11 @ SY191 ) ) )
= $true )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(103,plain,
! [SV12: a,SV6: a,SV8: a] :
( ( ( ! [SY192: a,SY193: a] :
( ~ ( sK6_SY72 @ SV8 @ SV6 @ SV12 @ SY192 )
| ~ ( sK6_SY72 @ SV8 @ SV6 @ SY192 @ SY193 )
| ( sK6_SY72 @ SV8 @ SV6 @ SV12 @ SY193 ) ) )
= $true )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(104,plain,
! [SV5: a,SV7: a,SV13: a,SV9: a] :
( ( ( ~ ( sK1_R @ SV9 @ SV13 )
| ( sK7_SY40 @ SV7 @ SV5 @ SV9 @ SV13 ) )
= $true )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(105,plain,
! [SV14: a,SV10: a,SV5: a,SV7: a] :
( ( ( ! [SY194: a] :
( ~ ( sK7_SY40 @ SV7 @ SV5 @ SV10 @ SV14 )
| ~ ( sK7_SY40 @ SV7 @ SV5 @ SV14 @ SY194 )
| ( sK7_SY40 @ SV7 @ SV5 @ SV10 @ SY194 ) ) )
= $true )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(106,plain,
! [SV6: a,SV8: a,SV15: a,SV11: a] :
( ( ( ~ ( sK2_SY28 @ SV11 @ SV15 )
| ( sK6_SY72 @ SV8 @ SV6 @ SV11 @ SV15 ) )
= $true )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(107,plain,
! [SV16: a,SV12: a,SV6: a,SV8: a] :
( ( ( ! [SY195: a] :
( ~ ( sK6_SY72 @ SV8 @ SV6 @ SV12 @ SV16 )
| ~ ( sK6_SY72 @ SV8 @ SV6 @ SV16 @ SY195 )
| ( sK6_SY72 @ SV8 @ SV6 @ SV12 @ SY195 ) ) )
= $true )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(108,plain,
! [SV5: a,SV7: a,SV13: a,SV9: a] :
( ( ( ~ ( sK1_R @ SV9 @ SV13 ) )
= $true )
| ( ( sK7_SY40 @ SV7 @ SV5 @ SV9 @ SV13 )
= $true )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[104]) ).
thf(109,plain,
! [SV17: a,SV14: a,SV10: a,SV5: a,SV7: a] :
( ( ( ~ ( sK7_SY40 @ SV7 @ SV5 @ SV10 @ SV14 )
| ~ ( sK7_SY40 @ SV7 @ SV5 @ SV14 @ SV17 )
| ( sK7_SY40 @ SV7 @ SV5 @ SV10 @ SV17 ) )
= $true )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[105]) ).
thf(110,plain,
! [SV6: a,SV8: a,SV15: a,SV11: a] :
( ( ( ~ ( sK2_SY28 @ SV11 @ SV15 ) )
= $true )
| ( ( sK6_SY72 @ SV8 @ SV6 @ SV11 @ SV15 )
= $true )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(111,plain,
! [SV18: a,SV16: a,SV12: a,SV6: a,SV8: a] :
( ( ( ~ ( sK6_SY72 @ SV8 @ SV6 @ SV12 @ SV16 )
| ~ ( sK6_SY72 @ SV8 @ SV6 @ SV16 @ SV18 )
| ( sK6_SY72 @ SV8 @ SV6 @ SV12 @ SV18 ) )
= $true )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(112,plain,
! [SV5: a,SV7: a,SV13: a,SV9: a] :
( ( ( sK1_R @ SV9 @ SV13 )
= $false )
| ( ( sK7_SY40 @ SV7 @ SV5 @ SV9 @ SV13 )
= $true )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(113,plain,
! [SV17: a,SV14: a,SV10: a,SV5: a,SV7: a] :
( ( ( ~ ( sK7_SY40 @ SV7 @ SV5 @ SV10 @ SV14 )
| ~ ( sK7_SY40 @ SV7 @ SV5 @ SV14 @ SV17 ) )
= $true )
| ( ( sK7_SY40 @ SV7 @ SV5 @ SV10 @ SV17 )
= $true )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(114,plain,
! [SV6: a,SV8: a,SV15: a,SV11: a] :
( ( ( sK2_SY28 @ SV11 @ SV15 )
= $false )
| ( ( sK6_SY72 @ SV8 @ SV6 @ SV11 @ SV15 )
= $true )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[110]) ).
thf(115,plain,
! [SV18: a,SV16: a,SV12: a,SV6: a,SV8: a] :
( ( ( ~ ( sK6_SY72 @ SV8 @ SV6 @ SV12 @ SV16 )
| ~ ( sK6_SY72 @ SV8 @ SV6 @ SV16 @ SV18 ) )
= $true )
| ( ( sK6_SY72 @ SV8 @ SV6 @ SV12 @ SV18 )
= $true )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[111]) ).
thf(116,plain,
! [SV17: a,SV14: a,SV10: a,SV5: a,SV7: a] :
( ( ( ~ ( sK7_SY40 @ SV7 @ SV5 @ SV10 @ SV14 ) )
= $true )
| ( ( ~ ( sK7_SY40 @ SV7 @ SV5 @ SV14 @ SV17 ) )
= $true )
| ( ( sK7_SY40 @ SV7 @ SV5 @ SV10 @ SV17 )
= $true )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(117,plain,
! [SV18: a,SV16: a,SV12: a,SV6: a,SV8: a] :
( ( ( ~ ( sK6_SY72 @ SV8 @ SV6 @ SV12 @ SV16 ) )
= $true )
| ( ( ~ ( sK6_SY72 @ SV8 @ SV6 @ SV16 @ SV18 ) )
= $true )
| ( ( sK6_SY72 @ SV8 @ SV6 @ SV12 @ SV18 )
= $true )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[115]) ).
thf(118,plain,
! [SV17: a,SV14: a,SV10: a,SV5: a,SV7: a] :
( ( ( sK7_SY40 @ SV7 @ SV5 @ SV10 @ SV14 )
= $false )
| ( ( ~ ( sK7_SY40 @ SV7 @ SV5 @ SV14 @ SV17 ) )
= $true )
| ( ( sK7_SY40 @ SV7 @ SV5 @ SV10 @ SV17 )
= $true )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[116]) ).
thf(119,plain,
! [SV18: a,SV16: a,SV12: a,SV6: a,SV8: a] :
( ( ( sK6_SY72 @ SV8 @ SV6 @ SV12 @ SV16 )
= $false )
| ( ( ~ ( sK6_SY72 @ SV8 @ SV6 @ SV16 @ SV18 ) )
= $true )
| ( ( sK6_SY72 @ SV8 @ SV6 @ SV12 @ SV18 )
= $true )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(120,plain,
! [SV10: a,SV17: a,SV14: a,SV5: a,SV7: a] :
( ( ( sK7_SY40 @ SV7 @ SV5 @ SV14 @ SV17 )
= $false )
| ( ( sK7_SY40 @ SV7 @ SV5 @ SV10 @ SV14 )
= $false )
| ( ( sK7_SY40 @ SV7 @ SV5 @ SV10 @ SV17 )
= $true )
| ( ( sK5_SY112 @ SV5 @ SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(121,plain,
! [SV12: a,SV18: a,SV16: a,SV6: a,SV8: a] :
( ( ( sK6_SY72 @ SV8 @ SV6 @ SV16 @ SV18 )
= $false )
| ( ( sK6_SY72 @ SV8 @ SV6 @ SV12 @ SV16 )
= $false )
| ( ( sK6_SY72 @ SV8 @ SV6 @ SV12 @ SV18 )
= $true )
| ( ( sK5_SY112 @ SV6 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(122,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[26,121,120,114,112,91,89,79,78,77,76,75,65,63]) ).
thf(123,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV109^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 28 09:04:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.37
% 0.13/0.37 No.of.Axioms: 0
% 0.13/0.37
% 0.13/0.37 Length.of.Defs: 0
% 0.13/0.37
% 0.13/0.37 Contains.Choice.Funs: false
% 0.13/0.39 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).............
% 0.19/0.57
% 0.19/0.57 ********************************
% 0.19/0.57 * All subproblems solved! *
% 0.19/0.57 ********************************
% 0.19/0.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:122,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.58
% 0.19/0.58 %**** Beginning of derivation protocol ****
% 0.19/0.58 % SZS output start CNFRefutation
% See solution above
% 0.19/0.58
% 0.19/0.58 %**** End of derivation protocol ****
% 0.19/0.58 %**** no. of clauses in derivation: 123 ****
% 0.19/0.58 %**** clause counter: 122 ****
% 0.19/0.58
% 0.19/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:122,loop_count:0,foatp_calls:1,translation:fof_full)
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