%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO225^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 11:07:52 AM UTC 2026
% Result : Theorem 0.47s 0.31s
% Output : CNFRefutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 1
% Syntax : Number of formulae : 335 ( 206 unt; 0 typ; 0 def)
% Number of atoms : 2033 ( 651 equ; 0 cnn)
% Maximal formula atoms : 3 ( 6 avg)
% Number of connectives : 4506 ( 600 ~; 411 |; 366 &;2852 @)
% ( 0 <=>; 277 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 2 avg)
% Number of types : 4 ( 3 usr)
% Number of type conns : 189 ( 189 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 21 usr; 9 con; 0-2 aty)
% Number of variables : 913 ( 0 ^; 913 !; 0 ?; 913 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_g,type,
g: $tType ).
thf(tp_sK10_SY261,type,
sK10_SY261: g > g > g ).
thf(tp_sK11_SY285,type,
sK11_SY285: b > $o ).
thf(tp_sK12_SY308,type,
sK12_SY308: b > b > b ).
thf(tp_sK13_SY330,type,
sK13_SY330: a > $o ).
thf(tp_sK14_SY351,type,
sK14_SY351: a > a > a ).
thf(tp_sK15_SX0,type,
sK15_SX0: g ).
thf(tp_sK16_SY394,type,
sK16_SY394: g ).
thf(tp_sK17_SX0,type,
sK17_SX0: a ).
thf(tp_sK18_SY399,type,
sK18_SY399: a ).
thf(tp_sK19_SX0,type,
sK19_SX0: g ).
thf(tp_sK1_Xh1,type,
sK1_Xh1: g > b ).
thf(tp_sK20_SX0,type,
sK20_SX0: g ).
thf(tp_sK21_SY408,type,
sK21_SY408: g ).
thf(tp_sK2_Xh2,type,
sK2_Xh2: b > a ).
thf(tp_sK3_Xs1,type,
sK3_Xs1: g > $o ).
thf(tp_sK4_Xf1,type,
sK4_Xf1: g > g > g ).
thf(tp_sK5_Xs2,type,
sK5_Xs2: b > $o ).
thf(tp_sK6_Xf2,type,
sK6_Xf2: b > b > b ).
thf(tp_sK7_Xh10,type,
sK7_Xh10: g > b ).
thf(tp_sK8_SY210,type,
sK8_SY210: b > a ).
thf(tp_sK9_SY236,type,
sK9_SY236: g > $o ).
thf(1,conjecture,
! [Xh1: g > b,Xh2: b > a,Xs1: g > $o,Xf1: g > g > g,Xs2: b > $o,Xf2: b > b > b,Xh10: g > b,Xh20: b > a,Xs10: g > $o,Xf10: g > g > g,Xs20: b > $o,Xf20: b > b > b,Xs3: a > $o,Xf3: a > a > a] :
( ( ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( ( Xh10 @ ( Xf10 @ Xx @ Xy ) )
= ( Xf20 @ ( Xh10 @ Xx ) @ ( Xh10 @ Xy ) ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: b] :
( ( Xs20 @ Xx )
=> ( Xs3 @ ( Xh20 @ Xx ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs20 @ Xx )
& ( Xs20 @ Xy ) )
=> ( ( Xh20 @ ( Xf20 @ Xx @ Xy ) )
= ( Xf3 @ ( Xh20 @ Xx ) @ ( Xh20 @ Xy ) ) ) ) )
=> ( ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs3 @ ( Xh20 @ ( Xh10 @ Xx ) ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy )
& ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( ( Xh20 @ ( Xh10 @ ( Xf10 @ Xx @ Xy ) ) )
= ( Xf3 @ ( Xh20 @ ( Xh10 @ Xx ) ) @ ( Xh20 @ ( Xh10 @ Xy ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM126_CORRECTED_pme) ).
thf(2,negated_conjecture,
( ( ! [Xh1: g > b,Xh2: b > a,Xs1: g > $o,Xf1: g > g > g,Xs2: b > $o,Xf2: b > b > b,Xh10: g > b,Xh20: b > a,Xs10: g > $o,Xf10: g > g > g,Xs20: b > $o,Xf20: b > b > b,Xs3: a > $o,Xf3: a > a > a] :
( ( ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( ( Xh10 @ ( Xf10 @ Xx @ Xy ) )
= ( Xf20 @ ( Xh10 @ Xx ) @ ( Xh10 @ Xy ) ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: b] :
( ( Xs20 @ Xx )
=> ( Xs3 @ ( Xh20 @ Xx ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs20 @ Xx )
& ( Xs20 @ Xy ) )
=> ( ( Xh20 @ ( Xf20 @ Xx @ Xy ) )
= ( Xf3 @ ( Xh20 @ Xx ) @ ( Xh20 @ Xy ) ) ) ) )
=> ( ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs3 @ ( Xh20 @ ( Xh10 @ Xx ) ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy )
& ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( ( Xh20 @ ( Xh10 @ ( Xf10 @ Xx @ Xy ) ) )
= ( Xf3 @ ( Xh20 @ ( Xh10 @ Xx ) ) @ ( Xh20 @ ( Xh10 @ Xy ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xh1: g > b,Xh2: b > a,Xs1: g > $o,Xf1: g > g > g,Xs2: b > $o,Xf2: b > b > b,Xh10: g > b,Xh20: b > a,Xs10: g > $o,Xf10: g > g > g,Xs20: b > $o,Xf20: b > b > b,Xs3: a > $o,Xf3: a > a > a] :
( ( ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( ( Xh10 @ ( Xf10 @ Xx @ Xy ) )
= ( Xf20 @ ( Xh10 @ Xx ) @ ( Xh10 @ Xy ) ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: b] :
( ( Xs20 @ Xx )
=> ( Xs3 @ ( Xh20 @ Xx ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs20 @ Xx )
& ( Xs20 @ Xy ) )
=> ( ( Xh20 @ ( Xf20 @ Xx @ Xy ) )
= ( Xf3 @ ( Xh20 @ Xx ) @ ( Xh20 @ Xy ) ) ) ) )
=> ( ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs3 @ ( Xh20 @ ( Xh10 @ Xx ) ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy )
& ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( ( Xh20 @ ( Xh10 @ ( Xf10 @ Xx @ Xy ) ) )
= ( Xf3 @ ( Xh20 @ ( Xh10 @ Xx ) ) @ ( Xh20 @ ( Xh10 @ Xy ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Xh2: b > a,Xs1: g > $o,Xf1: g > g > g,Xs2: b > $o,Xf2: b > b > b,Xh10: g > b,Xh20: b > a,Xs10: g > $o,Xf10: g > g > g,Xs20: b > $o,Xf20: b > b > b,Xs3: a > $o,Xf3: a > a > a] :
( ( ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( ( Xh10 @ ( Xf10 @ Xx @ Xy ) )
= ( Xf20 @ ( Xh10 @ Xx ) @ ( Xh10 @ Xy ) ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: b] :
( ( Xs20 @ Xx )
=> ( Xs3 @ ( Xh20 @ Xx ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs20 @ Xx )
& ( Xs20 @ Xy ) )
=> ( ( Xh20 @ ( Xf20 @ Xx @ Xy ) )
= ( Xf3 @ ( Xh20 @ Xx ) @ ( Xh20 @ Xy ) ) ) ) )
=> ( ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs3 @ ( Xh20 @ ( Xh10 @ Xx ) ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy )
& ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( ( Xh20 @ ( Xh10 @ ( Xf10 @ Xx @ Xy ) ) )
= ( Xf3 @ ( Xh20 @ ( Xh10 @ Xx ) ) @ ( Xh20 @ ( Xh10 @ Xy ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [Xs1: g > $o,Xf1: g > g > g,Xs2: b > $o,Xf2: b > b > b,Xh10: g > b,Xh20: b > a,Xs10: g > $o,Xf10: g > g > g,Xs20: b > $o,Xf20: b > b > b,Xs3: a > $o,Xf3: a > a > a] :
( ( ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( ( Xh10 @ ( Xf10 @ Xx @ Xy ) )
= ( Xf20 @ ( Xh10 @ Xx ) @ ( Xh10 @ Xy ) ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: b] :
( ( Xs20 @ Xx )
=> ( Xs3 @ ( Xh20 @ Xx ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs20 @ Xx )
& ( Xs20 @ Xy ) )
=> ( ( Xh20 @ ( Xf20 @ Xx @ Xy ) )
= ( Xf3 @ ( Xh20 @ Xx ) @ ( Xh20 @ Xy ) ) ) ) )
=> ( ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs3 @ ( Xh20 @ ( Xh10 @ Xx ) ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy )
& ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( ( Xh20 @ ( Xh10 @ ( Xf10 @ Xx @ Xy ) ) )
= ( Xf3 @ ( Xh20 @ ( Xh10 @ Xx ) ) @ ( Xh20 @ ( Xh10 @ Xy ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [Xf1: g > g > g,Xs2: b > $o,Xf2: b > b > b,Xh10: g > b,Xh20: b > a,Xs10: g > $o,Xf10: g > g > g,Xs20: b > $o,Xf20: b > b > b,Xs3: a > $o,Xf3: a > a > a] :
( ( ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( ( Xh10 @ ( Xf10 @ Xx @ Xy ) )
= ( Xf20 @ ( Xh10 @ Xx ) @ ( Xh10 @ Xy ) ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: b] :
( ( Xs20 @ Xx )
=> ( Xs3 @ ( Xh20 @ Xx ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs20 @ Xx )
& ( Xs20 @ Xy ) )
=> ( ( Xh20 @ ( Xf20 @ Xx @ Xy ) )
= ( Xf3 @ ( Xh20 @ Xx ) @ ( Xh20 @ Xy ) ) ) ) )
=> ( ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs3 @ ( Xh20 @ ( Xh10 @ Xx ) ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy )
& ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( ( Xh20 @ ( Xh10 @ ( Xf10 @ Xx @ Xy ) ) )
= ( Xf3 @ ( Xh20 @ ( Xh10 @ Xx ) ) @ ( Xh20 @ ( Xh10 @ Xy ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [Xs2: b > $o,Xf2: b > b > b,Xh10: g > b,Xh20: b > a,Xs10: g > $o,Xf10: g > g > g,Xs20: b > $o,Xf20: b > b > b,Xs3: a > $o,Xf3: a > a > a] :
( ( ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( ( Xh10 @ ( Xf10 @ Xx @ Xy ) )
= ( Xf20 @ ( Xh10 @ Xx ) @ ( Xh10 @ Xy ) ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: b] :
( ( Xs20 @ Xx )
=> ( Xs3 @ ( Xh20 @ Xx ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs20 @ Xx )
& ( Xs20 @ Xy ) )
=> ( ( Xh20 @ ( Xf20 @ Xx @ Xy ) )
= ( Xf3 @ ( Xh20 @ Xx ) @ ( Xh20 @ Xy ) ) ) ) )
=> ( ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs3 @ ( Xh20 @ ( Xh10 @ Xx ) ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy )
& ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( ( Xh20 @ ( Xh10 @ ( Xf10 @ Xx @ Xy ) ) )
= ( Xf3 @ ( Xh20 @ ( Xh10 @ Xx ) ) @ ( Xh20 @ ( Xh10 @ Xy ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [Xf2: b > b > b,Xh10: g > b,Xh20: b > a,Xs10: g > $o,Xf10: g > g > g,Xs20: b > $o,Xf20: b > b > b,Xs3: a > $o,Xf3: a > a > a] :
( ( ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( ( Xh10 @ ( Xf10 @ Xx @ Xy ) )
= ( Xf20 @ ( Xh10 @ Xx ) @ ( Xh10 @ Xy ) ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: b] :
( ( Xs20 @ Xx )
=> ( Xs3 @ ( Xh20 @ Xx ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs20 @ Xx )
& ( Xs20 @ Xy ) )
=> ( ( Xh20 @ ( Xf20 @ Xx @ Xy ) )
= ( Xf3 @ ( Xh20 @ Xx ) @ ( Xh20 @ Xy ) ) ) ) )
=> ( ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs3 @ ( Xh20 @ ( Xh10 @ Xx ) ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy )
& ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( ( Xh20 @ ( Xh10 @ ( Xf10 @ Xx @ Xy ) ) )
= ( Xf3 @ ( Xh20 @ ( Xh10 @ Xx ) ) @ ( Xh20 @ ( Xh10 @ Xy ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[7]) ).
thf(9,plain,
( ( ! [Xh10: g > b,Xh20: b > a,Xs10: g > $o,Xf10: g > g > g,Xs20: b > $o,Xf20: b > b > b,Xs3: a > $o,Xf3: a > a > a] :
( ( ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs20 @ ( Xh10 @ Xx ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( ( Xh10 @ ( Xf10 @ Xx @ Xy ) )
= ( Xf20 @ ( Xh10 @ Xx ) @ ( Xh10 @ Xy ) ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: b] :
( ( Xs20 @ Xx )
=> ( Xs3 @ ( Xh20 @ Xx ) ) )
& ! [Xx: b,Xy: b] :
( ( ( Xs20 @ Xx )
& ( Xs20 @ Xy ) )
=> ( ( Xh20 @ ( Xf20 @ Xx @ Xy ) )
= ( Xf3 @ ( Xh20 @ Xx ) @ ( Xh20 @ Xy ) ) ) ) )
=> ( ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( Xs10 @ ( Xf10 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( Xs3 @ Xx )
& ( Xs3 @ Xy ) )
=> ( Xs3 @ ( Xf3 @ Xx @ Xy ) ) )
& ! [Xx: g] :
( ( Xs10 @ Xx )
=> ( Xs3 @ ( Xh20 @ ( Xh10 @ Xx ) ) ) )
& ! [Xx: g,Xy: g] :
( ( ( Xs10 @ Xx )
& ( Xs10 @ Xy )
& ( Xs10 @ Xx )
& ( Xs10 @ Xy ) )
=> ( ( Xh20 @ ( Xh10 @ ( Xf10 @ Xx @ Xy ) ) )
= ( Xf3 @ ( Xh20 @ ( Xh10 @ Xx ) ) @ ( Xh20 @ ( Xh10 @ Xy ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[8]) ).
thf(10,plain,
( ( ! [SY210: b > a,SY211: g > $o,SY212: g > g > g,SY213: b > $o,SY214: b > b > b,SY215: a > $o,SY216: a > a > a] :
( ( ! [Xx: g,Xy: g] :
( ( ( SY211 @ Xx )
& ( SY211 @ Xy ) )
=> ( SY211 @ ( SY212 @ Xx @ Xy ) ) )
& ! [SY219: g] :
( ( SY211 @ SY219 )
=> ( SY213 @ ( sK7_Xh10 @ SY219 ) ) )
& ! [SY220: g] :
( ( SY211 @ SY220 )
=> ( SY213 @ ( sK7_Xh10 @ SY220 ) ) )
& ! [SY221: g] :
( ( SY211 @ SY221 )
=> ( SY213 @ ( sK7_Xh10 @ SY221 ) ) )
& ! [SY222: g,SY223: g] :
( ( ( SY211 @ SY222 )
& ( SY211 @ SY223 ) )
=> ( ( sK7_Xh10 @ ( SY212 @ SY222 @ SY223 ) )
= ( SY214 @ ( sK7_Xh10 @ SY222 ) @ ( sK7_Xh10 @ SY223 ) ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY215 @ Xx )
& ( SY215 @ Xy ) )
=> ( SY215 @ ( SY216 @ Xx @ Xy ) ) )
& ! [Xx: b] :
( ( SY213 @ Xx )
=> ( SY215 @ ( SY210 @ Xx ) ) )
& ! [Xx: b,Xy: b] :
( ( ( SY213 @ Xx )
& ( SY213 @ Xy ) )
=> ( ( SY210 @ ( SY214 @ Xx @ Xy ) )
= ( SY216 @ ( SY210 @ Xx ) @ ( SY210 @ Xy ) ) ) ) )
=> ( ! [Xx: g,Xy: g] :
( ( ( SY211 @ Xx )
& ( SY211 @ Xy ) )
=> ( SY211 @ ( SY212 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY215 @ Xx )
& ( SY215 @ Xy ) )
=> ( SY215 @ ( SY216 @ Xx @ Xy ) ) )
& ! [SY233: g] :
( ( SY211 @ SY233 )
=> ( SY215 @ ( SY210 @ ( sK7_Xh10 @ SY233 ) ) ) )
& ! [SY234: g,SY235: g] :
( ( ( SY211 @ SY234 )
& ( SY211 @ SY235 )
& ( SY211 @ SY234 )
& ( SY211 @ SY235 ) )
=> ( ( SY210 @ ( sK7_Xh10 @ ( SY212 @ SY234 @ SY235 ) ) )
= ( SY216 @ ( SY210 @ ( sK7_Xh10 @ SY234 ) ) @ ( SY210 @ ( sK7_Xh10 @ SY235 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[9]) ).
thf(11,plain,
( ( ! [SY236: g > $o,SY237: g > g > g,SY238: b > $o,SY239: b > b > b,SY240: a > $o,SY241: a > a > a] :
( ( ! [Xx: g,Xy: g] :
( ( ( SY236 @ Xx )
& ( SY236 @ Xy ) )
=> ( SY236 @ ( SY237 @ Xx @ Xy ) ) )
& ! [SY219: g] :
( ( SY236 @ SY219 )
=> ( SY238 @ ( sK7_Xh10 @ SY219 ) ) )
& ! [SY220: g] :
( ( SY236 @ SY220 )
=> ( SY238 @ ( sK7_Xh10 @ SY220 ) ) )
& ! [SY221: g] :
( ( SY236 @ SY221 )
=> ( SY238 @ ( sK7_Xh10 @ SY221 ) ) )
& ! [SY222: g,SY223: g] :
( ( ( SY236 @ SY222 )
& ( SY236 @ SY223 ) )
=> ( ( sK7_Xh10 @ ( SY237 @ SY222 @ SY223 ) )
= ( SY239 @ ( sK7_Xh10 @ SY222 ) @ ( sK7_Xh10 @ SY223 ) ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY240 @ Xx )
& ( SY240 @ Xy ) )
=> ( SY240 @ ( SY241 @ Xx @ Xy ) ) )
& ! [SY251: b] :
( ( SY238 @ SY251 )
=> ( SY240 @ ( sK8_SY210 @ SY251 ) ) )
& ! [SY252: b,SY253: b] :
( ( ( SY238 @ SY252 )
& ( SY238 @ SY253 ) )
=> ( ( sK8_SY210 @ ( SY239 @ SY252 @ SY253 ) )
= ( SY241 @ ( sK8_SY210 @ SY252 ) @ ( sK8_SY210 @ SY253 ) ) ) ) )
=> ( ! [Xx: g,Xy: g] :
( ( ( SY236 @ Xx )
& ( SY236 @ Xy ) )
=> ( SY236 @ ( SY237 @ Xx @ Xy ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY240 @ Xx )
& ( SY240 @ Xy ) )
=> ( SY240 @ ( SY241 @ Xx @ Xy ) ) )
& ! [SY258: g] :
( ( SY236 @ SY258 )
=> ( SY240 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY258 ) ) ) )
& ! [SY259: g,SY260: g] :
( ( ( SY236 @ SY259 )
& ( SY236 @ SY260 )
& ( SY236 @ SY259 )
& ( SY236 @ SY260 ) )
=> ( ( sK8_SY210 @ ( sK7_Xh10 @ ( SY237 @ SY259 @ SY260 ) ) )
= ( SY241 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY259 ) ) @ ( sK8_SY210 @ ( sK7_Xh10 @ SY260 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[10]) ).
thf(12,plain,
( ( ! [SY261: g > g > g,SY262: b > $o,SY263: b > b > b,SY264: a > $o,SY265: a > a > a] :
( ( ! [SY266: g,SY267: g] :
( ( ( sK9_SY236 @ SY266 )
& ( sK9_SY236 @ SY267 ) )
=> ( sK9_SY236 @ ( SY261 @ SY266 @ SY267 ) ) )
& ! [SY268: g] :
( ( sK9_SY236 @ SY268 )
=> ( SY262 @ ( sK7_Xh10 @ SY268 ) ) )
& ! [SY269: g] :
( ( sK9_SY236 @ SY269 )
=> ( SY262 @ ( sK7_Xh10 @ SY269 ) ) )
& ! [SY270: g] :
( ( sK9_SY236 @ SY270 )
=> ( SY262 @ ( sK7_Xh10 @ SY270 ) ) )
& ! [SY271: g,SY272: g] :
( ( ( sK9_SY236 @ SY271 )
& ( sK9_SY236 @ SY272 ) )
=> ( ( sK7_Xh10 @ ( SY261 @ SY271 @ SY272 ) )
= ( SY263 @ ( sK7_Xh10 @ SY271 ) @ ( sK7_Xh10 @ SY272 ) ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY264 @ Xx )
& ( SY264 @ Xy ) )
=> ( SY264 @ ( SY265 @ Xx @ Xy ) ) )
& ! [SY251: b] :
( ( SY262 @ SY251 )
=> ( SY264 @ ( sK8_SY210 @ SY251 ) ) )
& ! [SY252: b,SY253: b] :
( ( ( SY262 @ SY252 )
& ( SY262 @ SY253 ) )
=> ( ( sK8_SY210 @ ( SY263 @ SY252 @ SY253 ) )
= ( SY265 @ ( sK8_SY210 @ SY252 ) @ ( sK8_SY210 @ SY253 ) ) ) ) )
=> ( ! [SY278: g,SY279: g] :
( ( ( sK9_SY236 @ SY278 )
& ( sK9_SY236 @ SY279 ) )
=> ( sK9_SY236 @ ( SY261 @ SY278 @ SY279 ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY264 @ Xx )
& ( SY264 @ Xy ) )
=> ( SY264 @ ( SY265 @ Xx @ Xy ) ) )
& ! [SY282: g] :
( ( sK9_SY236 @ SY282 )
=> ( SY264 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY282 ) ) ) )
& ! [SY283: g,SY284: g] :
( ( ( sK9_SY236 @ SY283 )
& ( sK9_SY236 @ SY284 )
& ( sK9_SY236 @ SY283 )
& ( sK9_SY236 @ SY284 ) )
=> ( ( sK8_SY210 @ ( sK7_Xh10 @ ( SY261 @ SY283 @ SY284 ) ) )
= ( SY265 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY283 ) ) @ ( sK8_SY210 @ ( sK7_Xh10 @ SY284 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[11]) ).
thf(13,plain,
( ( ! [SY285: b > $o,SY286: b > b > b,SY287: a > $o,SY288: a > a > a] :
( ( ! [SY289: g,SY290: g] :
( ( ( sK9_SY236 @ SY289 )
& ( sK9_SY236 @ SY290 ) )
=> ( sK9_SY236 @ ( sK10_SY261 @ SY289 @ SY290 ) ) )
& ! [SY268: g] :
( ( sK9_SY236 @ SY268 )
=> ( SY285 @ ( sK7_Xh10 @ SY268 ) ) )
& ! [SY269: g] :
( ( sK9_SY236 @ SY269 )
=> ( SY285 @ ( sK7_Xh10 @ SY269 ) ) )
& ! [SY270: g] :
( ( sK9_SY236 @ SY270 )
=> ( SY285 @ ( sK7_Xh10 @ SY270 ) ) )
& ! [SY294: g,SY295: g] :
( ( ( sK9_SY236 @ SY294 )
& ( sK9_SY236 @ SY295 ) )
=> ( ( sK7_Xh10 @ ( sK10_SY261 @ SY294 @ SY295 ) )
= ( SY286 @ ( sK7_Xh10 @ SY294 ) @ ( sK7_Xh10 @ SY295 ) ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY287 @ Xx )
& ( SY287 @ Xy ) )
=> ( SY287 @ ( SY288 @ Xx @ Xy ) ) )
& ! [SY251: b] :
( ( SY285 @ SY251 )
=> ( SY287 @ ( sK8_SY210 @ SY251 ) ) )
& ! [SY252: b,SY253: b] :
( ( ( SY285 @ SY252 )
& ( SY285 @ SY253 ) )
=> ( ( sK8_SY210 @ ( SY286 @ SY252 @ SY253 ) )
= ( SY288 @ ( sK8_SY210 @ SY252 ) @ ( sK8_SY210 @ SY253 ) ) ) ) )
=> ( ! [SY301: g,SY302: g] :
( ( ( sK9_SY236 @ SY301 )
& ( sK9_SY236 @ SY302 ) )
=> ( sK9_SY236 @ ( sK10_SY261 @ SY301 @ SY302 ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY287 @ Xx )
& ( SY287 @ Xy ) )
=> ( SY287 @ ( SY288 @ Xx @ Xy ) ) )
& ! [SY282: g] :
( ( sK9_SY236 @ SY282 )
=> ( SY287 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY282 ) ) ) )
& ! [SY306: g,SY307: g] :
( ( ( sK9_SY236 @ SY306 )
& ( sK9_SY236 @ SY307 )
& ( sK9_SY236 @ SY306 )
& ( sK9_SY236 @ SY307 ) )
=> ( ( sK8_SY210 @ ( sK7_Xh10 @ ( sK10_SY261 @ SY306 @ SY307 ) ) )
= ( SY288 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY306 ) ) @ ( sK8_SY210 @ ( sK7_Xh10 @ SY307 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[12]) ).
thf(14,plain,
( ( ! [SY308: b > b > b,SY309: a > $o,SY310: a > a > a] :
( ( ! [SY289: g,SY290: g] :
( ( ( sK9_SY236 @ SY289 )
& ( sK9_SY236 @ SY290 ) )
=> ( sK9_SY236 @ ( sK10_SY261 @ SY289 @ SY290 ) ) )
& ! [SY313: g] :
( ( sK9_SY236 @ SY313 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY313 ) ) )
& ! [SY314: g] :
( ( sK9_SY236 @ SY314 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY314 ) ) )
& ! [SY315: g] :
( ( sK9_SY236 @ SY315 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY315 ) ) )
& ! [SY294: g,SY295: g] :
( ( ( sK9_SY236 @ SY294 )
& ( sK9_SY236 @ SY295 ) )
=> ( ( sK7_Xh10 @ ( sK10_SY261 @ SY294 @ SY295 ) )
= ( SY308 @ ( sK7_Xh10 @ SY294 ) @ ( sK7_Xh10 @ SY295 ) ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY309 @ Xx )
& ( SY309 @ Xy ) )
=> ( SY309 @ ( SY310 @ Xx @ Xy ) ) )
& ! [SY320: b] :
( ( sK11_SY285 @ SY320 )
=> ( SY309 @ ( sK8_SY210 @ SY320 ) ) )
& ! [SY321: b,SY322: b] :
( ( ( sK11_SY285 @ SY321 )
& ( sK11_SY285 @ SY322 ) )
=> ( ( sK8_SY210 @ ( SY308 @ SY321 @ SY322 ) )
= ( SY310 @ ( sK8_SY210 @ SY321 ) @ ( sK8_SY210 @ SY322 ) ) ) ) )
=> ( ! [SY301: g,SY302: g] :
( ( ( sK9_SY236 @ SY301 )
& ( sK9_SY236 @ SY302 ) )
=> ( sK9_SY236 @ ( sK10_SY261 @ SY301 @ SY302 ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY309 @ Xx )
& ( SY309 @ Xy ) )
=> ( SY309 @ ( SY310 @ Xx @ Xy ) ) )
& ! [SY282: g] :
( ( sK9_SY236 @ SY282 )
=> ( SY309 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY282 ) ) ) )
& ! [SY306: g,SY307: g] :
( ( ( sK9_SY236 @ SY306 )
& ( sK9_SY236 @ SY307 )
& ( sK9_SY236 @ SY306 )
& ( sK9_SY236 @ SY307 ) )
=> ( ( sK8_SY210 @ ( sK7_Xh10 @ ( sK10_SY261 @ SY306 @ SY307 ) ) )
= ( SY310 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY306 ) ) @ ( sK8_SY210 @ ( sK7_Xh10 @ SY307 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[13]) ).
thf(15,plain,
( ( ! [SY330: a > $o,SY331: a > a > a] :
( ( ! [SY289: g,SY290: g] :
( ( ( sK9_SY236 @ SY289 )
& ( sK9_SY236 @ SY290 ) )
=> ( sK9_SY236 @ ( sK10_SY261 @ SY289 @ SY290 ) ) )
& ! [SY313: g] :
( ( sK9_SY236 @ SY313 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY313 ) ) )
& ! [SY314: g] :
( ( sK9_SY236 @ SY314 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY314 ) ) )
& ! [SY315: g] :
( ( sK9_SY236 @ SY315 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY315 ) ) )
& ! [SY337: g,SY338: g] :
( ( ( sK9_SY236 @ SY337 )
& ( sK9_SY236 @ SY338 ) )
=> ( ( sK7_Xh10 @ ( sK10_SY261 @ SY337 @ SY338 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SY337 ) @ ( sK7_Xh10 @ SY338 ) ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY330 @ Xx )
& ( SY330 @ Xy ) )
=> ( SY330 @ ( SY331 @ Xx @ Xy ) ) )
& ! [SY320: b] :
( ( sK11_SY285 @ SY320 )
=> ( SY330 @ ( sK8_SY210 @ SY320 ) ) )
& ! [SY342: b,SY343: b] :
( ( ( sK11_SY285 @ SY342 )
& ( sK11_SY285 @ SY343 ) )
=> ( ( sK8_SY210 @ ( sK12_SY308 @ SY342 @ SY343 ) )
= ( SY331 @ ( sK8_SY210 @ SY342 ) @ ( sK8_SY210 @ SY343 ) ) ) ) )
=> ( ! [SY301: g,SY302: g] :
( ( ( sK9_SY236 @ SY301 )
& ( sK9_SY236 @ SY302 ) )
=> ( sK9_SY236 @ ( sK10_SY261 @ SY301 @ SY302 ) ) )
& ! [Xx: a,Xy: a] :
( ( ( SY330 @ Xx )
& ( SY330 @ Xy ) )
=> ( SY330 @ ( SY331 @ Xx @ Xy ) ) )
& ! [SY282: g] :
( ( sK9_SY236 @ SY282 )
=> ( SY330 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY282 ) ) ) )
& ! [SY306: g,SY307: g] :
( ( ( sK9_SY236 @ SY306 )
& ( sK9_SY236 @ SY307 )
& ( sK9_SY236 @ SY306 )
& ( sK9_SY236 @ SY307 ) )
=> ( ( sK8_SY210 @ ( sK7_Xh10 @ ( sK10_SY261 @ SY306 @ SY307 ) ) )
= ( SY331 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY306 ) ) @ ( sK8_SY210 @ ( sK7_Xh10 @ SY307 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[14]) ).
thf(16,plain,
( ( ! [SY351: a > a > a] :
( ( ! [SY289: g,SY290: g] :
( ( ( sK9_SY236 @ SY289 )
& ( sK9_SY236 @ SY290 ) )
=> ( sK9_SY236 @ ( sK10_SY261 @ SY289 @ SY290 ) ) )
& ! [SY313: g] :
( ( sK9_SY236 @ SY313 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY313 ) ) )
& ! [SY314: g] :
( ( sK9_SY236 @ SY314 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY314 ) ) )
& ! [SY315: g] :
( ( sK9_SY236 @ SY315 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY315 ) ) )
& ! [SY337: g,SY338: g] :
( ( ( sK9_SY236 @ SY337 )
& ( sK9_SY236 @ SY338 ) )
=> ( ( sK7_Xh10 @ ( sK10_SY261 @ SY337 @ SY338 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SY337 ) @ ( sK7_Xh10 @ SY338 ) ) ) )
& ! [SY359: a,SY360: a] :
( ( ( sK13_SY330 @ SY359 )
& ( sK13_SY330 @ SY360 ) )
=> ( sK13_SY330 @ ( SY351 @ SY359 @ SY360 ) ) )
& ! [SY361: b] :
( ( sK11_SY285 @ SY361 )
=> ( sK13_SY330 @ ( sK8_SY210 @ SY361 ) ) )
& ! [SY342: b,SY343: b] :
( ( ( sK11_SY285 @ SY342 )
& ( sK11_SY285 @ SY343 ) )
=> ( ( sK8_SY210 @ ( sK12_SY308 @ SY342 @ SY343 ) )
= ( SY351 @ ( sK8_SY210 @ SY342 ) @ ( sK8_SY210 @ SY343 ) ) ) ) )
=> ( ! [SY301: g,SY302: g] :
( ( ( sK9_SY236 @ SY301 )
& ( sK9_SY236 @ SY302 ) )
=> ( sK9_SY236 @ ( sK10_SY261 @ SY301 @ SY302 ) ) )
& ! [SY366: a,SY367: a] :
( ( ( sK13_SY330 @ SY366 )
& ( sK13_SY330 @ SY367 ) )
=> ( sK13_SY330 @ ( SY351 @ SY366 @ SY367 ) ) )
& ! [SY368: g] :
( ( sK9_SY236 @ SY368 )
=> ( sK13_SY330 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY368 ) ) ) )
& ! [SY306: g,SY307: g] :
( ( ( sK9_SY236 @ SY306 )
& ( sK9_SY236 @ SY307 )
& ( sK9_SY236 @ SY306 )
& ( sK9_SY236 @ SY307 ) )
=> ( ( sK8_SY210 @ ( sK7_Xh10 @ ( sK10_SY261 @ SY306 @ SY307 ) ) )
= ( SY351 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY306 ) ) @ ( sK8_SY210 @ ( sK7_Xh10 @ SY307 ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[15]) ).
thf(17,plain,
( ( ( ! [SY289: g,SY290: g] :
( ( ( sK9_SY236 @ SY289 )
& ( sK9_SY236 @ SY290 ) )
=> ( sK9_SY236 @ ( sK10_SY261 @ SY289 @ SY290 ) ) )
& ! [SY313: g] :
( ( sK9_SY236 @ SY313 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY313 ) ) )
& ! [SY314: g] :
( ( sK9_SY236 @ SY314 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY314 ) ) )
& ! [SY315: g] :
( ( sK9_SY236 @ SY315 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY315 ) ) )
& ! [SY337: g,SY338: g] :
( ( ( sK9_SY236 @ SY337 )
& ( sK9_SY236 @ SY338 ) )
=> ( ( sK7_Xh10 @ ( sK10_SY261 @ SY337 @ SY338 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SY337 ) @ ( sK7_Xh10 @ SY338 ) ) ) )
& ! [SY378: a,SY379: a] :
( ( ( sK13_SY330 @ SY378 )
& ( sK13_SY330 @ SY379 ) )
=> ( sK13_SY330 @ ( sK14_SY351 @ SY378 @ SY379 ) ) )
& ! [SY361: b] :
( ( sK11_SY285 @ SY361 )
=> ( sK13_SY330 @ ( sK8_SY210 @ SY361 ) ) )
& ! [SY381: b,SY382: b] :
( ( ( sK11_SY285 @ SY381 )
& ( sK11_SY285 @ SY382 ) )
=> ( ( sK8_SY210 @ ( sK12_SY308 @ SY381 @ SY382 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SY381 ) @ ( sK8_SY210 @ SY382 ) ) ) ) )
=> ( ! [SY301: g,SY302: g] :
( ( ( sK9_SY236 @ SY301 )
& ( sK9_SY236 @ SY302 ) )
=> ( sK9_SY236 @ ( sK10_SY261 @ SY301 @ SY302 ) ) )
& ! [SY385: a,SY386: a] :
( ( ( sK13_SY330 @ SY385 )
& ( sK13_SY330 @ SY386 ) )
=> ( sK13_SY330 @ ( sK14_SY351 @ SY385 @ SY386 ) ) )
& ! [SY368: g] :
( ( sK9_SY236 @ SY368 )
=> ( sK13_SY330 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY368 ) ) ) )
& ! [SY388: g,SY389: g] :
( ( ( sK9_SY236 @ SY388 )
& ( sK9_SY236 @ SY389 )
& ( sK9_SY236 @ SY388 )
& ( sK9_SY236 @ SY389 ) )
=> ( ( sK8_SY210 @ ( sK7_Xh10 @ ( sK10_SY261 @ SY388 @ SY389 ) ) )
= ( sK14_SY351 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY388 ) ) @ ( sK8_SY210 @ ( sK7_Xh10 @ SY389 ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[16]) ).
thf(18,plain,
( ( ! [SY289: g,SY290: g] :
( ( ( sK9_SY236 @ SY289 )
& ( sK9_SY236 @ SY290 ) )
=> ( sK9_SY236 @ ( sK10_SY261 @ SY289 @ SY290 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[17]) ).
thf(19,plain,
( ( ! [SY313: g] :
( ( sK9_SY236 @ SY313 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY313 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[17]) ).
thf(20,plain,
( ( ! [SY314: g] :
( ( sK9_SY236 @ SY314 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY314 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[17]) ).
thf(21,plain,
( ( ! [SY315: g] :
( ( sK9_SY236 @ SY315 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY315 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[17]) ).
thf(22,plain,
( ( ! [SY337: g,SY338: g] :
( ( ( sK9_SY236 @ SY337 )
& ( sK9_SY236 @ SY338 ) )
=> ( ( sK7_Xh10 @ ( sK10_SY261 @ SY337 @ SY338 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SY337 ) @ ( sK7_Xh10 @ SY338 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[17]) ).
thf(23,plain,
( ( ! [SY378: a,SY379: a] :
( ( ( sK13_SY330 @ SY378 )
& ( sK13_SY330 @ SY379 ) )
=> ( sK13_SY330 @ ( sK14_SY351 @ SY378 @ SY379 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[17]) ).
thf(24,plain,
( ( ! [SY361: b] :
( ( sK11_SY285 @ SY361 )
=> ( sK13_SY330 @ ( sK8_SY210 @ SY361 ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[17]) ).
thf(25,plain,
( ( ! [SY381: b,SY382: b] :
( ( ( sK11_SY285 @ SY381 )
& ( sK11_SY285 @ SY382 ) )
=> ( ( sK8_SY210 @ ( sK12_SY308 @ SY381 @ SY382 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SY381 ) @ ( sK8_SY210 @ SY382 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[17]) ).
thf(26,plain,
( ( ! [SY301: g,SY302: g] :
( ( ( sK9_SY236 @ SY301 )
& ( sK9_SY236 @ SY302 ) )
=> ( sK9_SY236 @ ( sK10_SY261 @ SY301 @ SY302 ) ) )
& ! [SY385: a,SY386: a] :
( ( ( sK13_SY330 @ SY385 )
& ( sK13_SY330 @ SY386 ) )
=> ( sK13_SY330 @ ( sK14_SY351 @ SY385 @ SY386 ) ) )
& ! [SY368: g] :
( ( sK9_SY236 @ SY368 )
=> ( sK13_SY330 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY368 ) ) ) )
& ! [SY388: g,SY389: g] :
( ( ( sK9_SY236 @ SY388 )
& ( sK9_SY236 @ SY389 )
& ( sK9_SY236 @ SY388 )
& ( sK9_SY236 @ SY389 ) )
=> ( ( sK8_SY210 @ ( sK7_Xh10 @ ( sK10_SY261 @ SY388 @ SY389 ) ) )
= ( sK14_SY351 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY388 ) ) @ ( sK8_SY210 @ ( sK7_Xh10 @ SY389 ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[17]) ).
thf(27,plain,
( ( ! [SY301: g,SY302: g] :
( ( ( sK9_SY236 @ SY301 )
& ( sK9_SY236 @ SY302 ) )
=> ( sK9_SY236 @ ( sK10_SY261 @ SY301 @ SY302 ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[26]) ).
thf(28,plain,
( ( ! [SY385: a,SY386: a] :
( ( ( sK13_SY330 @ SY385 )
& ( sK13_SY330 @ SY386 ) )
=> ( sK13_SY330 @ ( sK14_SY351 @ SY385 @ SY386 ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[26]) ).
thf(29,plain,
( ( ! [SY368: g] :
( ( sK9_SY236 @ SY368 )
=> ( sK13_SY330 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY368 ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[26]) ).
thf(30,plain,
( ( ! [SY388: g,SY389: g] :
( ( ( sK9_SY236 @ SY388 )
& ( sK9_SY236 @ SY389 )
& ( sK9_SY236 @ SY388 )
& ( sK9_SY236 @ SY389 ) )
=> ( ( sK8_SY210 @ ( sK7_Xh10 @ ( sK10_SY261 @ SY388 @ SY389 ) ) )
= ( sK14_SY351 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY388 ) ) @ ( sK8_SY210 @ ( sK7_Xh10 @ SY389 ) ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[26]) ).
thf(31,plain,
( ( ~ ! [SY301: g,SY302: g] :
( ( ( sK9_SY236 @ SY301 )
& ( sK9_SY236 @ SY302 ) )
=> ( sK9_SY236 @ ( sK10_SY261 @ SY301 @ SY302 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[27]) ).
thf(32,plain,
( ( ~ ! [SY385: a,SY386: a] :
( ( ( sK13_SY330 @ SY385 )
& ( sK13_SY330 @ SY386 ) )
=> ( sK13_SY330 @ ( sK14_SY351 @ SY385 @ SY386 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[28]) ).
thf(33,plain,
( ( ~ ! [SY368: g] :
( ( sK9_SY236 @ SY368 )
=> ( sK13_SY330 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY368 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[29]) ).
thf(34,plain,
( ( ~ ! [SY388: g,SY389: g] :
( ( ( sK9_SY236 @ SY388 )
& ( sK9_SY236 @ SY389 )
& ( sK9_SY236 @ SY388 )
& ( sK9_SY236 @ SY389 ) )
=> ( ( sK8_SY210 @ ( sK7_Xh10 @ ( sK10_SY261 @ SY388 @ SY389 ) ) )
= ( sK14_SY351 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY388 ) ) @ ( sK8_SY210 @ ( sK7_Xh10 @ SY389 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[30]) ).
thf(35,plain,
( ( ! [SY381: b,SY382: b] :
( ( ( sK11_SY285 @ SY381 )
& ( sK11_SY285 @ SY382 ) )
=> ( ( sK8_SY210 @ ( sK12_SY308 @ SY381 @ SY382 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SY381 ) @ ( sK8_SY210 @ SY382 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(36,plain,
( ( ! [SY361: b] :
( ( sK11_SY285 @ SY361 )
=> ( sK13_SY330 @ ( sK8_SY210 @ SY361 ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(37,plain,
( ( ! [SY378: a,SY379: a] :
( ( ( sK13_SY330 @ SY378 )
& ( sK13_SY330 @ SY379 ) )
=> ( sK13_SY330 @ ( sK14_SY351 @ SY378 @ SY379 ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(38,plain,
( ( ! [SY337: g,SY338: g] :
( ( ( sK9_SY236 @ SY337 )
& ( sK9_SY236 @ SY338 ) )
=> ( ( sK7_Xh10 @ ( sK10_SY261 @ SY337 @ SY338 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SY337 ) @ ( sK7_Xh10 @ SY338 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(39,plain,
( ( ! [SY315: g] :
( ( sK9_SY236 @ SY315 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY315 ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(40,plain,
( ( ! [SY314: g] :
( ( sK9_SY236 @ SY314 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY314 ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(41,plain,
( ( ! [SY313: g] :
( ( sK9_SY236 @ SY313 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY313 ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(42,plain,
( ( ! [SY289: g,SY290: g] :
( ( ( sK9_SY236 @ SY289 )
& ( sK9_SY236 @ SY290 ) )
=> ( sK9_SY236 @ ( sK10_SY261 @ SY289 @ SY290 ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(43,plain,
( ( ~ ! [SY301: g,SY302: g] :
( ( ( sK9_SY236 @ SY301 )
& ( sK9_SY236 @ SY302 ) )
=> ( sK9_SY236 @ ( sK10_SY261 @ SY301 @ SY302 ) ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(44,plain,
( ( ~ ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ( sK9_SY236 @ SX0 )
| ~ ( sK9_SY236 @ SX1 ) )
| ( sK9_SY236 @ ( sK10_SY261 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(45,plain,
( ( ! [SX0: b,SX1: b] :
( ~ ~ ( ~ ( sK11_SY285 @ SX0 )
| ~ ( sK11_SY285 @ SX1 ) )
| ( ( sK8_SY210 @ ( sK12_SY308 @ SX0 @ SX1 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SX0 ) @ ( sK8_SY210 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(46,plain,
( ( ! [SX0: g] :
( ~ ( sK9_SY236 @ SX0 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(47,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ( sK9_SY236 @ SX0 )
| ~ ( sK9_SY236 @ SX1 ) )
| ( sK9_SY236 @ ( sK10_SY261 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(48,plain,
( ( ! [SX0: g] :
( ~ ( sK9_SY236 @ SX0 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(49,plain,
( ( ! [SX0: b] :
( ~ ( sK11_SY285 @ SX0 )
| ( sK13_SY330 @ ( sK8_SY210 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(50,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ~ ( ~ ( sK13_SY330 @ SX0 )
| ~ ( sK13_SY330 @ SX1 ) )
| ( sK13_SY330 @ ( sK14_SY351 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(51,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ( sK9_SY236 @ SX0 )
| ~ ( sK9_SY236 @ SX1 ) )
| ( ( sK7_Xh10 @ ( sK10_SY261 @ SX0 @ SX1 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SX0 ) @ ( sK7_Xh10 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(52,plain,
( ( ! [SX0: g] :
( ~ ( sK9_SY236 @ SX0 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(53,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ( sK9_SY236 @ SX0 )
| ~ ( sK9_SY236 @ SX1 ) )
| ( sK9_SY236 @ ( sK10_SY261 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(54,plain,
! [SV1: b] :
( ( ! [SY390: b] :
( ~ ~ ( ~ ( sK11_SY285 @ SV1 )
| ~ ( sK11_SY285 @ SY390 ) )
| ( ( sK8_SY210 @ ( sK12_SY308 @ SV1 @ SY390 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV1 ) @ ( sK8_SY210 @ SY390 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(55,plain,
! [SV2: g] :
( ( ~ ( sK9_SY236 @ SV2 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(56,plain,
! [SV3: g] :
( ( ! [SY391: g] :
( ~ ~ ( ~ ( sK9_SY236 @ SV3 )
| ~ ( sK9_SY236 @ SY391 ) )
| ( sK9_SY236 @ ( sK10_SY261 @ SV3 @ SY391 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(57,plain,
! [SV4: g] :
( ( ~ ( sK9_SY236 @ SV4 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[48]) ).
thf(58,plain,
! [SV5: b] :
( ( ~ ( sK11_SY285 @ SV5 )
| ( sK13_SY330 @ ( sK8_SY210 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(59,plain,
! [SV6: a] :
( ( ! [SY392: a] :
( ~ ~ ( ~ ( sK13_SY330 @ SV6 )
| ~ ( sK13_SY330 @ SY392 ) )
| ( sK13_SY330 @ ( sK14_SY351 @ SV6 @ SY392 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(60,plain,
! [SV7: g] :
( ( ! [SY393: g] :
( ~ ~ ( ~ ( sK9_SY236 @ SV7 )
| ~ ( sK9_SY236 @ SY393 ) )
| ( ( sK7_Xh10 @ ( sK10_SY261 @ SV7 @ SY393 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV7 ) @ ( sK7_Xh10 @ SY393 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(61,plain,
! [SV8: g] :
( ( ~ ( sK9_SY236 @ SV8 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SV8 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(62,plain,
( ( ! [SY394: g] :
( ~ ~ ( ~ ( sK9_SY236 @ sK15_SX0 )
| ~ ( sK9_SY236 @ SY394 ) )
| ( sK9_SY236 @ ( sK10_SY261 @ sK15_SX0 @ SY394 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[53]) ).
thf(63,plain,
! [SV9: b,SV1: b] :
( ( ~ ~ ( ~ ( sK11_SY285 @ SV1 )
| ~ ( sK11_SY285 @ SV9 ) )
| ( ( sK8_SY210 @ ( sK12_SY308 @ SV1 @ SV9 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV1 ) @ ( sK8_SY210 @ SV9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(64,plain,
! [SV2: g] :
( ( ( ~ ( sK9_SY236 @ SV2 ) )
= $true )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(65,plain,
! [SV10: g,SV3: g] :
( ( ~ ~ ( ~ ( sK9_SY236 @ SV3 )
| ~ ( sK9_SY236 @ SV10 ) )
| ( sK9_SY236 @ ( sK10_SY261 @ SV3 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[56]) ).
thf(66,plain,
! [SV4: g] :
( ( ( ~ ( sK9_SY236 @ SV4 ) )
= $true )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(67,plain,
! [SV5: b] :
( ( ( ~ ( sK11_SY285 @ SV5 ) )
= $true )
| ( ( sK13_SY330 @ ( sK8_SY210 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(68,plain,
! [SV11: a,SV6: a] :
( ( ~ ~ ( ~ ( sK13_SY330 @ SV6 )
| ~ ( sK13_SY330 @ SV11 ) )
| ( sK13_SY330 @ ( sK14_SY351 @ SV6 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(69,plain,
! [SV12: g,SV7: g] :
( ( ~ ~ ( ~ ( sK9_SY236 @ SV7 )
| ~ ( sK9_SY236 @ SV12 ) )
| ( ( sK7_Xh10 @ ( sK10_SY261 @ SV7 @ SV12 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV7 ) @ ( sK7_Xh10 @ SV12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(70,plain,
! [SV8: g] :
( ( ( ~ ( sK9_SY236 @ SV8 ) )
= $true )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV8 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[61]) ).
thf(71,plain,
( ( ~ ~ ( ~ ( sK9_SY236 @ sK15_SX0 )
| ~ ( sK9_SY236 @ sK16_SY394 ) )
| ( sK9_SY236 @ ( sK10_SY261 @ sK15_SX0 @ sK16_SY394 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[62]) ).
thf(72,plain,
! [SV9: b,SV1: b] :
( ( ( ~ ~ ( ~ ( sK11_SY285 @ SV1 )
| ~ ( sK11_SY285 @ SV9 ) ) )
= $true )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV1 @ SV9 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV1 ) @ ( sK8_SY210 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(73,plain,
! [SV2: g] :
( ( ( sK9_SY236 @ SV2 )
= $false )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(74,plain,
! [SV10: g,SV3: g] :
( ( ( ~ ~ ( ~ ( sK9_SY236 @ SV3 )
| ~ ( sK9_SY236 @ SV10 ) ) )
= $true )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV3 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(75,plain,
! [SV4: g] :
( ( ( sK9_SY236 @ SV4 )
= $false )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV4 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[66]) ).
thf(76,plain,
! [SV5: b] :
( ( ( sK11_SY285 @ SV5 )
= $false )
| ( ( sK13_SY330 @ ( sK8_SY210 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(77,plain,
! [SV11: a,SV6: a] :
( ( ( ~ ~ ( ~ ( sK13_SY330 @ SV6 )
| ~ ( sK13_SY330 @ SV11 ) ) )
= $true )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV6 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[68]) ).
thf(78,plain,
! [SV12: g,SV7: g] :
( ( ( ~ ~ ( ~ ( sK9_SY236 @ SV7 )
| ~ ( sK9_SY236 @ SV12 ) ) )
= $true )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV7 @ SV12 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV7 ) @ ( sK7_Xh10 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[69]) ).
thf(79,plain,
! [SV8: g] :
( ( ( sK9_SY236 @ SV8 )
= $false )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV8 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(80,plain,
( ( ~ ~ ( ~ ( sK9_SY236 @ sK15_SX0 )
| ~ ( sK9_SY236 @ sK16_SY394 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(81,plain,
( ( sK9_SY236 @ ( sK10_SY261 @ sK15_SX0 @ sK16_SY394 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[71]) ).
thf(82,plain,
! [SV9: b,SV1: b] :
( ( ( ~ ( ~ ( sK11_SY285 @ SV1 )
| ~ ( sK11_SY285 @ SV9 ) ) )
= $false )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV1 @ SV9 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV1 ) @ ( sK8_SY210 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(83,plain,
! [SV10: g,SV3: g] :
( ( ( ~ ( ~ ( sK9_SY236 @ SV3 )
| ~ ( sK9_SY236 @ SV10 ) ) )
= $false )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV3 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(84,plain,
! [SV11: a,SV6: a] :
( ( ( ~ ( ~ ( sK13_SY330 @ SV6 )
| ~ ( sK13_SY330 @ SV11 ) ) )
= $false )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV6 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[77]) ).
thf(85,plain,
! [SV12: g,SV7: g] :
( ( ( ~ ( ~ ( sK9_SY236 @ SV7 )
| ~ ( sK9_SY236 @ SV12 ) ) )
= $false )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV7 @ SV12 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV7 ) @ ( sK7_Xh10 @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(86,plain,
( ( ~ ( ~ ( sK9_SY236 @ sK15_SX0 )
| ~ ( sK9_SY236 @ sK16_SY394 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(87,plain,
! [SV9: b,SV1: b] :
( ( ( ~ ( sK11_SY285 @ SV1 )
| ~ ( sK11_SY285 @ SV9 ) )
= $true )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV1 @ SV9 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV1 ) @ ( sK8_SY210 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[82]) ).
thf(88,plain,
! [SV10: g,SV3: g] :
( ( ( ~ ( sK9_SY236 @ SV3 )
| ~ ( sK9_SY236 @ SV10 ) )
= $true )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV3 @ SV10 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[83]) ).
thf(89,plain,
! [SV11: a,SV6: a] :
( ( ( ~ ( sK13_SY330 @ SV6 )
| ~ ( sK13_SY330 @ SV11 ) )
= $true )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV6 @ SV11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(90,plain,
! [SV12: g,SV7: g] :
( ( ( ~ ( sK9_SY236 @ SV7 )
| ~ ( sK9_SY236 @ SV12 ) )
= $true )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV7 @ SV12 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV7 ) @ ( sK7_Xh10 @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(91,plain,
( ( ~ ( sK9_SY236 @ sK15_SX0 )
| ~ ( sK9_SY236 @ sK16_SY394 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(92,plain,
! [SV9: b,SV1: b] :
( ( ( ~ ( sK11_SY285 @ SV1 ) )
= $true )
| ( ( ~ ( sK11_SY285 @ SV9 ) )
= $true )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV1 @ SV9 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV1 ) @ ( sK8_SY210 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[87]) ).
thf(93,plain,
! [SV10: g,SV3: g] :
( ( ( ~ ( sK9_SY236 @ SV3 ) )
= $true )
| ( ( ~ ( sK9_SY236 @ SV10 ) )
= $true )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV3 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[88]) ).
thf(94,plain,
! [SV11: a,SV6: a] :
( ( ( ~ ( sK13_SY330 @ SV6 ) )
= $true )
| ( ( ~ ( sK13_SY330 @ SV11 ) )
= $true )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV6 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[89]) ).
thf(95,plain,
! [SV12: g,SV7: g] :
( ( ( ~ ( sK9_SY236 @ SV7 ) )
= $true )
| ( ( ~ ( sK9_SY236 @ SV12 ) )
= $true )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV7 @ SV12 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV7 ) @ ( sK7_Xh10 @ SV12 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(96,plain,
( ( ~ ( sK9_SY236 @ sK15_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(97,plain,
( ( ~ ( sK9_SY236 @ sK16_SY394 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[91]) ).
thf(98,plain,
! [SV9: b,SV1: b] :
( ( ( sK11_SY285 @ SV1 )
= $false )
| ( ( ~ ( sK11_SY285 @ SV9 ) )
= $true )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV1 @ SV9 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV1 ) @ ( sK8_SY210 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(99,plain,
! [SV10: g,SV3: g] :
( ( ( sK9_SY236 @ SV3 )
= $false )
| ( ( ~ ( sK9_SY236 @ SV10 ) )
= $true )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV3 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(100,plain,
! [SV11: a,SV6: a] :
( ( ( sK13_SY330 @ SV6 )
= $false )
| ( ( ~ ( sK13_SY330 @ SV11 ) )
= $true )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV6 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[94]) ).
thf(101,plain,
! [SV12: g,SV7: g] :
( ( ( sK9_SY236 @ SV7 )
= $false )
| ( ( ~ ( sK9_SY236 @ SV12 ) )
= $true )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV7 @ SV12 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV7 ) @ ( sK7_Xh10 @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(102,plain,
( ( sK9_SY236 @ sK15_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[96]) ).
thf(103,plain,
( ( sK9_SY236 @ sK16_SY394 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(104,plain,
! [SV1: b,SV9: b] :
( ( ( sK11_SY285 @ SV9 )
= $false )
| ( ( sK11_SY285 @ SV1 )
= $false )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV1 @ SV9 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV1 ) @ ( sK8_SY210 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[98]) ).
thf(105,plain,
! [SV3: g,SV10: g] :
( ( ( sK9_SY236 @ SV10 )
= $false )
| ( ( sK9_SY236 @ SV3 )
= $false )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV3 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[99]) ).
thf(106,plain,
! [SV6: a,SV11: a] :
( ( ( sK13_SY330 @ SV11 )
= $false )
| ( ( sK13_SY330 @ SV6 )
= $false )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV6 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(107,plain,
! [SV7: g,SV12: g] :
( ( ( sK9_SY236 @ SV12 )
= $false )
| ( ( sK9_SY236 @ SV7 )
= $false )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV7 @ SV12 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV7 ) @ ( sK7_Xh10 @ SV12 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(108,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[73,107,106,105,104,103,102,81,79,76,75]) ).
thf(109,plain,
( ( ! [SY381: b,SY382: b] :
( ( ( sK11_SY285 @ SY381 )
& ( sK11_SY285 @ SY382 ) )
=> ( ( sK8_SY210 @ ( sK12_SY308 @ SY381 @ SY382 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SY381 ) @ ( sK8_SY210 @ SY382 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(110,plain,
( ( ! [SY361: b] :
( ( sK11_SY285 @ SY361 )
=> ( sK13_SY330 @ ( sK8_SY210 @ SY361 ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(111,plain,
( ( ! [SY378: a,SY379: a] :
( ( ( sK13_SY330 @ SY378 )
& ( sK13_SY330 @ SY379 ) )
=> ( sK13_SY330 @ ( sK14_SY351 @ SY378 @ SY379 ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(112,plain,
( ( ! [SY337: g,SY338: g] :
( ( ( sK9_SY236 @ SY337 )
& ( sK9_SY236 @ SY338 ) )
=> ( ( sK7_Xh10 @ ( sK10_SY261 @ SY337 @ SY338 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SY337 ) @ ( sK7_Xh10 @ SY338 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(113,plain,
( ( ! [SY315: g] :
( ( sK9_SY236 @ SY315 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY315 ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(114,plain,
( ( ! [SY314: g] :
( ( sK9_SY236 @ SY314 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY314 ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(115,plain,
( ( ! [SY313: g] :
( ( sK9_SY236 @ SY313 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY313 ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(116,plain,
( ( ! [SY289: g,SY290: g] :
( ( ( sK9_SY236 @ SY289 )
& ( sK9_SY236 @ SY290 ) )
=> ( sK9_SY236 @ ( sK10_SY261 @ SY289 @ SY290 ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(117,plain,
( ( ~ ! [SY385: a,SY386: a] :
( ( ( sK13_SY330 @ SY385 )
& ( sK13_SY330 @ SY386 ) )
=> ( sK13_SY330 @ ( sK14_SY351 @ SY385 @ SY386 ) ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(118,plain,
( ( ! [SX0: g] :
( ~ ( sK9_SY236 @ SX0 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(119,plain,
( ( ! [SX0: g] :
( ~ ( sK9_SY236 @ SX0 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(120,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ( sK9_SY236 @ SX0 )
| ~ ( sK9_SY236 @ SX1 ) )
| ( ( sK7_Xh10 @ ( sK10_SY261 @ SX0 @ SX1 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SX0 ) @ ( sK7_Xh10 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(121,plain,
( ( ! [SX0: g] :
( ~ ( sK9_SY236 @ SX0 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(122,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ( sK9_SY236 @ SX0 )
| ~ ( sK9_SY236 @ SX1 ) )
| ( sK9_SY236 @ ( sK10_SY261 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(123,plain,
( ( ! [SX0: b] :
( ~ ( sK11_SY285 @ SX0 )
| ( sK13_SY330 @ ( sK8_SY210 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(124,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ~ ( ~ ( sK13_SY330 @ SX0 )
| ~ ( sK13_SY330 @ SX1 ) )
| ( sK13_SY330 @ ( sK14_SY351 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(125,plain,
( ( ! [SX0: b,SX1: b] :
( ~ ~ ( ~ ( sK11_SY285 @ SX0 )
| ~ ( sK11_SY285 @ SX1 ) )
| ( ( sK8_SY210 @ ( sK12_SY308 @ SX0 @ SX1 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SX0 ) @ ( sK8_SY210 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(126,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ~ ( ~ ( sK13_SY330 @ SX0 )
| ~ ( sK13_SY330 @ SX1 ) )
| ( sK13_SY330 @ ( sK14_SY351 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(127,plain,
! [SV13: g] :
( ( ~ ( sK9_SY236 @ SV13 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[118]) ).
thf(128,plain,
! [SV14: g] :
( ( ~ ( sK9_SY236 @ SV14 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[119]) ).
thf(129,plain,
! [SV15: g] :
( ( ! [SY395: g] :
( ~ ~ ( ~ ( sK9_SY236 @ SV15 )
| ~ ( sK9_SY236 @ SY395 ) )
| ( ( sK7_Xh10 @ ( sK10_SY261 @ SV15 @ SY395 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV15 ) @ ( sK7_Xh10 @ SY395 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(130,plain,
! [SV16: g] :
( ( ~ ( sK9_SY236 @ SV16 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(131,plain,
! [SV17: g] :
( ( ! [SY396: g] :
( ~ ~ ( ~ ( sK9_SY236 @ SV17 )
| ~ ( sK9_SY236 @ SY396 ) )
| ( sK9_SY236 @ ( sK10_SY261 @ SV17 @ SY396 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[122]) ).
thf(132,plain,
! [SV18: b] :
( ( ~ ( sK11_SY285 @ SV18 )
| ( sK13_SY330 @ ( sK8_SY210 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[123]) ).
thf(133,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ~ ( ~ ( sK13_SY330 @ SX0 )
| ~ ( sK13_SY330 @ SX1 ) )
| ( sK13_SY330 @ ( sK14_SY351 @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(134,plain,
! [SV19: b] :
( ( ! [SY397: b] :
( ~ ~ ( ~ ( sK11_SY285 @ SV19 )
| ~ ( sK11_SY285 @ SY397 ) )
| ( ( sK8_SY210 @ ( sK12_SY308 @ SV19 @ SY397 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV19 ) @ ( sK8_SY210 @ SY397 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(135,plain,
! [SV20: a] :
( ( ! [SY398: a] :
( ~ ~ ( ~ ( sK13_SY330 @ SV20 )
| ~ ( sK13_SY330 @ SY398 ) )
| ( sK13_SY330 @ ( sK14_SY351 @ SV20 @ SY398 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(136,plain,
! [SV13: g] :
( ( ( ~ ( sK9_SY236 @ SV13 ) )
= $true )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[127]) ).
thf(137,plain,
! [SV14: g] :
( ( ( ~ ( sK9_SY236 @ SV14 ) )
= $true )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[128]) ).
thf(138,plain,
! [SV21: g,SV15: g] :
( ( ~ ~ ( ~ ( sK9_SY236 @ SV15 )
| ~ ( sK9_SY236 @ SV21 ) )
| ( ( sK7_Xh10 @ ( sK10_SY261 @ SV15 @ SV21 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV15 ) @ ( sK7_Xh10 @ SV21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(139,plain,
! [SV16: g] :
( ( ( ~ ( sK9_SY236 @ SV16 ) )
= $true )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(140,plain,
! [SV22: g,SV17: g] :
( ( ~ ~ ( ~ ( sK9_SY236 @ SV17 )
| ~ ( sK9_SY236 @ SV22 ) )
| ( sK9_SY236 @ ( sK10_SY261 @ SV17 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(141,plain,
! [SV18: b] :
( ( ( ~ ( sK11_SY285 @ SV18 ) )
= $true )
| ( ( sK13_SY330 @ ( sK8_SY210 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(142,plain,
( ( ! [SY399: a] :
( ~ ~ ( ~ ( sK13_SY330 @ sK17_SX0 )
| ~ ( sK13_SY330 @ SY399 ) )
| ( sK13_SY330 @ ( sK14_SY351 @ sK17_SX0 @ SY399 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[133]) ).
thf(143,plain,
! [SV23: b,SV19: b] :
( ( ~ ~ ( ~ ( sK11_SY285 @ SV19 )
| ~ ( sK11_SY285 @ SV23 ) )
| ( ( sK8_SY210 @ ( sK12_SY308 @ SV19 @ SV23 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV19 ) @ ( sK8_SY210 @ SV23 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(144,plain,
! [SV24: a,SV20: a] :
( ( ~ ~ ( ~ ( sK13_SY330 @ SV20 )
| ~ ( sK13_SY330 @ SV24 ) )
| ( sK13_SY330 @ ( sK14_SY351 @ SV20 @ SV24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(145,plain,
! [SV13: g] :
( ( ( sK9_SY236 @ SV13 )
= $false )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(146,plain,
! [SV14: g] :
( ( ( sK9_SY236 @ SV14 )
= $false )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(147,plain,
! [SV21: g,SV15: g] :
( ( ( ~ ~ ( ~ ( sK9_SY236 @ SV15 )
| ~ ( sK9_SY236 @ SV21 ) ) )
= $true )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV15 @ SV21 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV15 ) @ ( sK7_Xh10 @ SV21 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(148,plain,
! [SV16: g] :
( ( ( sK9_SY236 @ SV16 )
= $false )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(149,plain,
! [SV22: g,SV17: g] :
( ( ( ~ ~ ( ~ ( sK9_SY236 @ SV17 )
| ~ ( sK9_SY236 @ SV22 ) ) )
= $true )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV17 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(150,plain,
! [SV18: b] :
( ( ( sK11_SY285 @ SV18 )
= $false )
| ( ( sK13_SY330 @ ( sK8_SY210 @ SV18 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(151,plain,
( ( ~ ~ ( ~ ( sK13_SY330 @ sK17_SX0 )
| ~ ( sK13_SY330 @ sK18_SY399 ) )
| ( sK13_SY330 @ ( sK14_SY351 @ sK17_SX0 @ sK18_SY399 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[142]) ).
thf(152,plain,
! [SV23: b,SV19: b] :
( ( ( ~ ~ ( ~ ( sK11_SY285 @ SV19 )
| ~ ( sK11_SY285 @ SV23 ) ) )
= $true )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV19 @ SV23 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV19 ) @ ( sK8_SY210 @ SV23 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[143]) ).
thf(153,plain,
! [SV24: a,SV20: a] :
( ( ( ~ ~ ( ~ ( sK13_SY330 @ SV20 )
| ~ ( sK13_SY330 @ SV24 ) ) )
= $true )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV20 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[144]) ).
thf(154,plain,
! [SV21: g,SV15: g] :
( ( ( ~ ( ~ ( sK9_SY236 @ SV15 )
| ~ ( sK9_SY236 @ SV21 ) ) )
= $false )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV15 @ SV21 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV15 ) @ ( sK7_Xh10 @ SV21 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(155,plain,
! [SV22: g,SV17: g] :
( ( ( ~ ( ~ ( sK9_SY236 @ SV17 )
| ~ ( sK9_SY236 @ SV22 ) ) )
= $false )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV17 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[149]) ).
thf(156,plain,
( ( ~ ~ ( ~ ( sK13_SY330 @ sK17_SX0 )
| ~ ( sK13_SY330 @ sK18_SY399 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(157,plain,
( ( sK13_SY330 @ ( sK14_SY351 @ sK17_SX0 @ sK18_SY399 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[151]) ).
thf(158,plain,
! [SV23: b,SV19: b] :
( ( ( ~ ( ~ ( sK11_SY285 @ SV19 )
| ~ ( sK11_SY285 @ SV23 ) ) )
= $false )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV19 @ SV23 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV19 ) @ ( sK8_SY210 @ SV23 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[152]) ).
thf(159,plain,
! [SV24: a,SV20: a] :
( ( ( ~ ( ~ ( sK13_SY330 @ SV20 )
| ~ ( sK13_SY330 @ SV24 ) ) )
= $false )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV20 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[153]) ).
thf(160,plain,
! [SV21: g,SV15: g] :
( ( ( ~ ( sK9_SY236 @ SV15 )
| ~ ( sK9_SY236 @ SV21 ) )
= $true )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV15 @ SV21 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV15 ) @ ( sK7_Xh10 @ SV21 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[154]) ).
thf(161,plain,
! [SV22: g,SV17: g] :
( ( ( ~ ( sK9_SY236 @ SV17 )
| ~ ( sK9_SY236 @ SV22 ) )
= $true )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV17 @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[155]) ).
thf(162,plain,
( ( ~ ( ~ ( sK13_SY330 @ sK17_SX0 )
| ~ ( sK13_SY330 @ sK18_SY399 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[156]) ).
thf(163,plain,
! [SV23: b,SV19: b] :
( ( ( ~ ( sK11_SY285 @ SV19 )
| ~ ( sK11_SY285 @ SV23 ) )
= $true )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV19 @ SV23 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV19 ) @ ( sK8_SY210 @ SV23 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[158]) ).
thf(164,plain,
! [SV24: a,SV20: a] :
( ( ( ~ ( sK13_SY330 @ SV20 )
| ~ ( sK13_SY330 @ SV24 ) )
= $true )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV20 @ SV24 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[159]) ).
thf(165,plain,
! [SV21: g,SV15: g] :
( ( ( ~ ( sK9_SY236 @ SV15 ) )
= $true )
| ( ( ~ ( sK9_SY236 @ SV21 ) )
= $true )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV15 @ SV21 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV15 ) @ ( sK7_Xh10 @ SV21 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[160]) ).
thf(166,plain,
! [SV22: g,SV17: g] :
( ( ( ~ ( sK9_SY236 @ SV17 ) )
= $true )
| ( ( ~ ( sK9_SY236 @ SV22 ) )
= $true )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV17 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(167,plain,
( ( ~ ( sK13_SY330 @ sK17_SX0 )
| ~ ( sK13_SY330 @ sK18_SY399 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(168,plain,
! [SV23: b,SV19: b] :
( ( ( ~ ( sK11_SY285 @ SV19 ) )
= $true )
| ( ( ~ ( sK11_SY285 @ SV23 ) )
= $true )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV19 @ SV23 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV19 ) @ ( sK8_SY210 @ SV23 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[163]) ).
thf(169,plain,
! [SV24: a,SV20: a] :
( ( ( ~ ( sK13_SY330 @ SV20 ) )
= $true )
| ( ( ~ ( sK13_SY330 @ SV24 ) )
= $true )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV20 @ SV24 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(170,plain,
! [SV21: g,SV15: g] :
( ( ( sK9_SY236 @ SV15 )
= $false )
| ( ( ~ ( sK9_SY236 @ SV21 ) )
= $true )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV15 @ SV21 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV15 ) @ ( sK7_Xh10 @ SV21 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[165]) ).
thf(171,plain,
! [SV22: g,SV17: g] :
( ( ( sK9_SY236 @ SV17 )
= $false )
| ( ( ~ ( sK9_SY236 @ SV22 ) )
= $true )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV17 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(172,plain,
( ( ~ ( sK13_SY330 @ sK17_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(173,plain,
( ( ~ ( sK13_SY330 @ sK18_SY399 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(174,plain,
! [SV23: b,SV19: b] :
( ( ( sK11_SY285 @ SV19 )
= $false )
| ( ( ~ ( sK11_SY285 @ SV23 ) )
= $true )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV19 @ SV23 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV19 ) @ ( sK8_SY210 @ SV23 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(175,plain,
! [SV24: a,SV20: a] :
( ( ( sK13_SY330 @ SV20 )
= $false )
| ( ( ~ ( sK13_SY330 @ SV24 ) )
= $true )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV20 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[169]) ).
thf(176,plain,
! [SV15: g,SV21: g] :
( ( ( sK9_SY236 @ SV21 )
= $false )
| ( ( sK9_SY236 @ SV15 )
= $false )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV15 @ SV21 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV15 ) @ ( sK7_Xh10 @ SV21 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[170]) ).
thf(177,plain,
! [SV17: g,SV22: g] :
( ( ( sK9_SY236 @ SV22 )
= $false )
| ( ( sK9_SY236 @ SV17 )
= $false )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV17 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[171]) ).
thf(178,plain,
( ( sK13_SY330 @ sK17_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(179,plain,
( ( sK13_SY330 @ sK18_SY399 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(180,plain,
! [SV19: b,SV23: b] :
( ( ( sK11_SY285 @ SV23 )
= $false )
| ( ( sK11_SY285 @ SV19 )
= $false )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV19 @ SV23 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV19 ) @ ( sK8_SY210 @ SV23 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(181,plain,
! [SV20: a,SV24: a] :
( ( ( sK13_SY330 @ SV24 )
= $false )
| ( ( sK13_SY330 @ SV20 )
= $false )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV20 @ SV24 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[175]) ).
thf(182,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[145,181,180,179,178,177,176,157,150,148,146]) ).
thf(183,plain,
( ( ! [SY381: b,SY382: b] :
( ( ( sK11_SY285 @ SY381 )
& ( sK11_SY285 @ SY382 ) )
=> ( ( sK8_SY210 @ ( sK12_SY308 @ SY381 @ SY382 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SY381 ) @ ( sK8_SY210 @ SY382 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(184,plain,
( ( ! [SY361: b] :
( ( sK11_SY285 @ SY361 )
=> ( sK13_SY330 @ ( sK8_SY210 @ SY361 ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(185,plain,
( ( ! [SY378: a,SY379: a] :
( ( ( sK13_SY330 @ SY378 )
& ( sK13_SY330 @ SY379 ) )
=> ( sK13_SY330 @ ( sK14_SY351 @ SY378 @ SY379 ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(186,plain,
( ( ! [SY337: g,SY338: g] :
( ( ( sK9_SY236 @ SY337 )
& ( sK9_SY236 @ SY338 ) )
=> ( ( sK7_Xh10 @ ( sK10_SY261 @ SY337 @ SY338 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SY337 ) @ ( sK7_Xh10 @ SY338 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(187,plain,
( ( ! [SY315: g] :
( ( sK9_SY236 @ SY315 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY315 ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(188,plain,
( ( ! [SY314: g] :
( ( sK9_SY236 @ SY314 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY314 ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(189,plain,
( ( ! [SY313: g] :
( ( sK9_SY236 @ SY313 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY313 ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(190,plain,
( ( ! [SY289: g,SY290: g] :
( ( ( sK9_SY236 @ SY289 )
& ( sK9_SY236 @ SY290 ) )
=> ( sK9_SY236 @ ( sK10_SY261 @ SY289 @ SY290 ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(191,plain,
( ( ~ ! [SY368: g] :
( ( sK9_SY236 @ SY368 )
=> ( sK13_SY330 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY368 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(192,plain,
( ( ~ ! [SX0: g] :
( ~ ( sK9_SY236 @ SX0 )
| ( sK13_SY330 @ ( sK8_SY210 @ ( sK7_Xh10 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(193,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ( sK9_SY236 @ SX0 )
| ~ ( sK9_SY236 @ SX1 ) )
| ( sK9_SY236 @ ( sK10_SY261 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(194,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ~ ( ~ ( sK13_SY330 @ SX0 )
| ~ ( sK13_SY330 @ SX1 ) )
| ( sK13_SY330 @ ( sK14_SY351 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(195,plain,
( ( ! [SX0: b] :
( ~ ( sK11_SY285 @ SX0 )
| ( sK13_SY330 @ ( sK8_SY210 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(196,plain,
( ( ! [SX0: b,SX1: b] :
( ~ ~ ( ~ ( sK11_SY285 @ SX0 )
| ~ ( sK11_SY285 @ SX1 ) )
| ( ( sK8_SY210 @ ( sK12_SY308 @ SX0 @ SX1 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SX0 ) @ ( sK8_SY210 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(197,plain,
( ( ! [SX0: g] :
( ~ ( sK9_SY236 @ SX0 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(198,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ( sK9_SY236 @ SX0 )
| ~ ( sK9_SY236 @ SX1 ) )
| ( ( sK7_Xh10 @ ( sK10_SY261 @ SX0 @ SX1 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SX0 ) @ ( sK7_Xh10 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(199,plain,
( ( ! [SX0: g] :
( ~ ( sK9_SY236 @ SX0 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(200,plain,
( ( ! [SX0: g] :
( ~ ( sK9_SY236 @ SX0 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[188]) ).
thf(201,plain,
( ( ! [SX0: g] :
( ~ ( sK9_SY236 @ SX0 )
| ( sK13_SY330 @ ( sK8_SY210 @ ( sK7_Xh10 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[192]) ).
thf(202,plain,
! [SV25: g] :
( ( ! [SY400: g] :
( ~ ~ ( ~ ( sK9_SY236 @ SV25 )
| ~ ( sK9_SY236 @ SY400 ) )
| ( sK9_SY236 @ ( sK10_SY261 @ SV25 @ SY400 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[193]) ).
thf(203,plain,
! [SV26: a] :
( ( ! [SY401: a] :
( ~ ~ ( ~ ( sK13_SY330 @ SV26 )
| ~ ( sK13_SY330 @ SY401 ) )
| ( sK13_SY330 @ ( sK14_SY351 @ SV26 @ SY401 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(204,plain,
! [SV27: b] :
( ( ~ ( sK11_SY285 @ SV27 )
| ( sK13_SY330 @ ( sK8_SY210 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(205,plain,
! [SV28: b] :
( ( ! [SY402: b] :
( ~ ~ ( ~ ( sK11_SY285 @ SV28 )
| ~ ( sK11_SY285 @ SY402 ) )
| ( ( sK8_SY210 @ ( sK12_SY308 @ SV28 @ SY402 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV28 ) @ ( sK8_SY210 @ SY402 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[196]) ).
thf(206,plain,
! [SV29: g] :
( ( ~ ( sK9_SY236 @ SV29 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SV29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[197]) ).
thf(207,plain,
! [SV30: g] :
( ( ! [SY403: g] :
( ~ ~ ( ~ ( sK9_SY236 @ SV30 )
| ~ ( sK9_SY236 @ SY403 ) )
| ( ( sK7_Xh10 @ ( sK10_SY261 @ SV30 @ SY403 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV30 ) @ ( sK7_Xh10 @ SY403 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[198]) ).
thf(208,plain,
! [SV31: g] :
( ( ~ ( sK9_SY236 @ SV31 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[199]) ).
thf(209,plain,
! [SV32: g] :
( ( ~ ( sK9_SY236 @ SV32 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SV32 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(210,plain,
( ( ~ ( sK9_SY236 @ sK19_SX0 )
| ( sK13_SY330 @ ( sK8_SY210 @ ( sK7_Xh10 @ sK19_SX0 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[201]) ).
thf(211,plain,
! [SV33: g,SV25: g] :
( ( ~ ~ ( ~ ( sK9_SY236 @ SV25 )
| ~ ( sK9_SY236 @ SV33 ) )
| ( sK9_SY236 @ ( sK10_SY261 @ SV25 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(212,plain,
! [SV34: a,SV26: a] :
( ( ~ ~ ( ~ ( sK13_SY330 @ SV26 )
| ~ ( sK13_SY330 @ SV34 ) )
| ( sK13_SY330 @ ( sK14_SY351 @ SV26 @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(213,plain,
! [SV27: b] :
( ( ( ~ ( sK11_SY285 @ SV27 ) )
= $true )
| ( ( sK13_SY330 @ ( sK8_SY210 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[204]) ).
thf(214,plain,
! [SV35: b,SV28: b] :
( ( ~ ~ ( ~ ( sK11_SY285 @ SV28 )
| ~ ( sK11_SY285 @ SV35 ) )
| ( ( sK8_SY210 @ ( sK12_SY308 @ SV28 @ SV35 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV28 ) @ ( sK8_SY210 @ SV35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[205]) ).
thf(215,plain,
! [SV29: g] :
( ( ( ~ ( sK9_SY236 @ SV29 ) )
= $true )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[206]) ).
thf(216,plain,
! [SV36: g,SV30: g] :
( ( ~ ~ ( ~ ( sK9_SY236 @ SV30 )
| ~ ( sK9_SY236 @ SV36 ) )
| ( ( sK7_Xh10 @ ( sK10_SY261 @ SV30 @ SV36 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV30 ) @ ( sK7_Xh10 @ SV36 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[207]) ).
thf(217,plain,
! [SV31: g] :
( ( ( ~ ( sK9_SY236 @ SV31 ) )
= $true )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[208]) ).
thf(218,plain,
! [SV32: g] :
( ( ( ~ ( sK9_SY236 @ SV32 ) )
= $true )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV32 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(219,plain,
( ( ~ ( sK9_SY236 @ sK19_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(220,plain,
( ( sK13_SY330 @ ( sK8_SY210 @ ( sK7_Xh10 @ sK19_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[210]) ).
thf(221,plain,
! [SV33: g,SV25: g] :
( ( ( ~ ~ ( ~ ( sK9_SY236 @ SV25 )
| ~ ( sK9_SY236 @ SV33 ) ) )
= $true )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV25 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[211]) ).
thf(222,plain,
! [SV34: a,SV26: a] :
( ( ( ~ ~ ( ~ ( sK13_SY330 @ SV26 )
| ~ ( sK13_SY330 @ SV34 ) ) )
= $true )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV26 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[212]) ).
thf(223,plain,
! [SV27: b] :
( ( ( sK11_SY285 @ SV27 )
= $false )
| ( ( sK13_SY330 @ ( sK8_SY210 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[213]) ).
thf(224,plain,
! [SV35: b,SV28: b] :
( ( ( ~ ~ ( ~ ( sK11_SY285 @ SV28 )
| ~ ( sK11_SY285 @ SV35 ) ) )
= $true )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV28 @ SV35 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV28 ) @ ( sK8_SY210 @ SV35 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[214]) ).
thf(225,plain,
! [SV29: g] :
( ( ( sK9_SY236 @ SV29 )
= $false )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[215]) ).
thf(226,plain,
! [SV36: g,SV30: g] :
( ( ( ~ ~ ( ~ ( sK9_SY236 @ SV30 )
| ~ ( sK9_SY236 @ SV36 ) ) )
= $true )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV30 @ SV36 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV30 ) @ ( sK7_Xh10 @ SV36 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[216]) ).
thf(227,plain,
! [SV31: g] :
( ( ( sK9_SY236 @ SV31 )
= $false )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[217]) ).
thf(228,plain,
! [SV32: g] :
( ( ( sK9_SY236 @ SV32 )
= $false )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV32 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[218]) ).
thf(229,plain,
( ( sK9_SY236 @ sK19_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[219]) ).
thf(230,plain,
! [SV33: g,SV25: g] :
( ( ( ~ ( ~ ( sK9_SY236 @ SV25 )
| ~ ( sK9_SY236 @ SV33 ) ) )
= $false )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV25 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[221]) ).
thf(231,plain,
! [SV34: a,SV26: a] :
( ( ( ~ ( ~ ( sK13_SY330 @ SV26 )
| ~ ( sK13_SY330 @ SV34 ) ) )
= $false )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV26 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(232,plain,
! [SV35: b,SV28: b] :
( ( ( ~ ( ~ ( sK11_SY285 @ SV28 )
| ~ ( sK11_SY285 @ SV35 ) ) )
= $false )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV28 @ SV35 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV28 ) @ ( sK8_SY210 @ SV35 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(233,plain,
! [SV36: g,SV30: g] :
( ( ( ~ ( ~ ( sK9_SY236 @ SV30 )
| ~ ( sK9_SY236 @ SV36 ) ) )
= $false )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV30 @ SV36 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV30 ) @ ( sK7_Xh10 @ SV36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[226]) ).
thf(234,plain,
! [SV33: g,SV25: g] :
( ( ( ~ ( sK9_SY236 @ SV25 )
| ~ ( sK9_SY236 @ SV33 ) )
= $true )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV25 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[230]) ).
thf(235,plain,
! [SV34: a,SV26: a] :
( ( ( ~ ( sK13_SY330 @ SV26 )
| ~ ( sK13_SY330 @ SV34 ) )
= $true )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV26 @ SV34 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(236,plain,
! [SV35: b,SV28: b] :
( ( ( ~ ( sK11_SY285 @ SV28 )
| ~ ( sK11_SY285 @ SV35 ) )
= $true )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV28 @ SV35 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV28 ) @ ( sK8_SY210 @ SV35 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(237,plain,
! [SV36: g,SV30: g] :
( ( ( ~ ( sK9_SY236 @ SV30 )
| ~ ( sK9_SY236 @ SV36 ) )
= $true )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV30 @ SV36 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV30 ) @ ( sK7_Xh10 @ SV36 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[233]) ).
thf(238,plain,
! [SV33: g,SV25: g] :
( ( ( ~ ( sK9_SY236 @ SV25 ) )
= $true )
| ( ( ~ ( sK9_SY236 @ SV33 ) )
= $true )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV25 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[234]) ).
thf(239,plain,
! [SV34: a,SV26: a] :
( ( ( ~ ( sK13_SY330 @ SV26 ) )
= $true )
| ( ( ~ ( sK13_SY330 @ SV34 ) )
= $true )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV26 @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(240,plain,
! [SV35: b,SV28: b] :
( ( ( ~ ( sK11_SY285 @ SV28 ) )
= $true )
| ( ( ~ ( sK11_SY285 @ SV35 ) )
= $true )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV28 @ SV35 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV28 ) @ ( sK8_SY210 @ SV35 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[236]) ).
thf(241,plain,
! [SV36: g,SV30: g] :
( ( ( ~ ( sK9_SY236 @ SV30 ) )
= $true )
| ( ( ~ ( sK9_SY236 @ SV36 ) )
= $true )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV30 @ SV36 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV30 ) @ ( sK7_Xh10 @ SV36 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[237]) ).
thf(242,plain,
! [SV33: g,SV25: g] :
( ( ( sK9_SY236 @ SV25 )
= $false )
| ( ( ~ ( sK9_SY236 @ SV33 ) )
= $true )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV25 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[238]) ).
thf(243,plain,
! [SV34: a,SV26: a] :
( ( ( sK13_SY330 @ SV26 )
= $false )
| ( ( ~ ( sK13_SY330 @ SV34 ) )
= $true )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV26 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[239]) ).
thf(244,plain,
! [SV35: b,SV28: b] :
( ( ( sK11_SY285 @ SV28 )
= $false )
| ( ( ~ ( sK11_SY285 @ SV35 ) )
= $true )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV28 @ SV35 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV28 ) @ ( sK8_SY210 @ SV35 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(245,plain,
! [SV36: g,SV30: g] :
( ( ( sK9_SY236 @ SV30 )
= $false )
| ( ( ~ ( sK9_SY236 @ SV36 ) )
= $true )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV30 @ SV36 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV30 ) @ ( sK7_Xh10 @ SV36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[241]) ).
thf(246,plain,
! [SV25: g,SV33: g] :
( ( ( sK9_SY236 @ SV33 )
= $false )
| ( ( sK9_SY236 @ SV25 )
= $false )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV25 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[242]) ).
thf(247,plain,
! [SV26: a,SV34: a] :
( ( ( sK13_SY330 @ SV34 )
= $false )
| ( ( sK13_SY330 @ SV26 )
= $false )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV26 @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[243]) ).
thf(248,plain,
! [SV28: b,SV35: b] :
( ( ( sK11_SY285 @ SV35 )
= $false )
| ( ( sK11_SY285 @ SV28 )
= $false )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV28 @ SV35 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV28 ) @ ( sK8_SY210 @ SV35 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[244]) ).
thf(249,plain,
! [SV30: g,SV36: g] :
( ( ( sK9_SY236 @ SV36 )
= $false )
| ( ( sK9_SY236 @ SV30 )
= $false )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV30 @ SV36 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV30 ) @ ( sK7_Xh10 @ SV36 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[245]) ).
thf(250,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[220,249,248,247,246,229,228,227,225,223]) ).
thf(251,plain,
( ( ! [SY381: b,SY382: b] :
( ( ( sK11_SY285 @ SY381 )
& ( sK11_SY285 @ SY382 ) )
=> ( ( sK8_SY210 @ ( sK12_SY308 @ SY381 @ SY382 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SY381 ) @ ( sK8_SY210 @ SY382 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(252,plain,
( ( ! [SY361: b] :
( ( sK11_SY285 @ SY361 )
=> ( sK13_SY330 @ ( sK8_SY210 @ SY361 ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(253,plain,
( ( ! [SY378: a,SY379: a] :
( ( ( sK13_SY330 @ SY378 )
& ( sK13_SY330 @ SY379 ) )
=> ( sK13_SY330 @ ( sK14_SY351 @ SY378 @ SY379 ) ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(254,plain,
( ( ! [SY337: g,SY338: g] :
( ( ( sK9_SY236 @ SY337 )
& ( sK9_SY236 @ SY338 ) )
=> ( ( sK7_Xh10 @ ( sK10_SY261 @ SY337 @ SY338 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SY337 ) @ ( sK7_Xh10 @ SY338 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(255,plain,
( ( ! [SY315: g] :
( ( sK9_SY236 @ SY315 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY315 ) ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(256,plain,
( ( ! [SY314: g] :
( ( sK9_SY236 @ SY314 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY314 ) ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(257,plain,
( ( ! [SY313: g] :
( ( sK9_SY236 @ SY313 )
=> ( sK11_SY285 @ ( sK7_Xh10 @ SY313 ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(258,plain,
( ( ! [SY289: g,SY290: g] :
( ( ( sK9_SY236 @ SY289 )
& ( sK9_SY236 @ SY290 ) )
=> ( sK9_SY236 @ ( sK10_SY261 @ SY289 @ SY290 ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(259,plain,
( ( ~ ! [SY388: g,SY389: g] :
( ( ( sK9_SY236 @ SY388 )
& ( sK9_SY236 @ SY389 )
& ( sK9_SY236 @ SY388 )
& ( sK9_SY236 @ SY389 ) )
=> ( ( sK8_SY210 @ ( sK7_Xh10 @ ( sK10_SY261 @ SY388 @ SY389 ) ) )
= ( sK14_SY351 @ ( sK8_SY210 @ ( sK7_Xh10 @ SY388 ) ) @ ( sK8_SY210 @ ( sK7_Xh10 @ SY389 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(260,plain,
( ( ! [SX0: g] :
( ~ ( sK9_SY236 @ SX0 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[255]) ).
thf(261,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ( sK9_SY236 @ SX0 )
| ~ ( sK9_SY236 @ SX1 ) )
| ( ( sK7_Xh10 @ ( sK10_SY261 @ SX0 @ SX1 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SX0 ) @ ( sK7_Xh10 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[254]) ).
thf(262,plain,
( ( ~ ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK9_SY236 @ SX0 )
| ~ ( sK9_SY236 @ SX1 ) )
| ~ ( sK9_SY236 @ SX0 ) )
| ~ ( sK9_SY236 @ SX1 ) )
| ( ( sK8_SY210 @ ( sK7_Xh10 @ ( sK10_SY261 @ SX0 @ SX1 ) ) )
= ( sK14_SY351 @ ( sK8_SY210 @ ( sK7_Xh10 @ SX0 ) ) @ ( sK8_SY210 @ ( sK7_Xh10 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[259]) ).
thf(263,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ( sK9_SY236 @ SX0 )
| ~ ( sK9_SY236 @ SX1 ) )
| ( sK9_SY236 @ ( sK10_SY261 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(264,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ~ ( ~ ( sK13_SY330 @ SX0 )
| ~ ( sK13_SY330 @ SX1 ) )
| ( sK13_SY330 @ ( sK14_SY351 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[253]) ).
thf(265,plain,
( ( ! [SX0: b] :
( ~ ( sK11_SY285 @ SX0 )
| ( sK13_SY330 @ ( sK8_SY210 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[252]) ).
thf(266,plain,
( ( ! [SX0: g] :
( ~ ( sK9_SY236 @ SX0 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[256]) ).
thf(267,plain,
( ( ! [SX0: g] :
( ~ ( sK9_SY236 @ SX0 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(268,plain,
( ( ! [SX0: b,SX1: b] :
( ~ ~ ( ~ ( sK11_SY285 @ SX0 )
| ~ ( sK11_SY285 @ SX1 ) )
| ( ( sK8_SY210 @ ( sK12_SY308 @ SX0 @ SX1 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SX0 ) @ ( sK8_SY210 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[251]) ).
thf(269,plain,
! [SV37: g] :
( ( ~ ( sK9_SY236 @ SV37 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[260]) ).
thf(270,plain,
! [SV38: g] :
( ( ! [SY404: g] :
( ~ ~ ( ~ ( sK9_SY236 @ SV38 )
| ~ ( sK9_SY236 @ SY404 ) )
| ( ( sK7_Xh10 @ ( sK10_SY261 @ SV38 @ SY404 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV38 ) @ ( sK7_Xh10 @ SY404 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[261]) ).
thf(271,plain,
( ( ! [SX0: g,SX1: g] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK9_SY236 @ SX0 )
| ~ ( sK9_SY236 @ SX1 ) )
| ~ ( sK9_SY236 @ SX0 ) )
| ~ ( sK9_SY236 @ SX1 ) )
| ( ( sK8_SY210 @ ( sK7_Xh10 @ ( sK10_SY261 @ SX0 @ SX1 ) ) )
= ( sK14_SY351 @ ( sK8_SY210 @ ( sK7_Xh10 @ SX0 ) ) @ ( sK8_SY210 @ ( sK7_Xh10 @ SX1 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[262]) ).
thf(272,plain,
! [SV39: g] :
( ( ! [SY405: g] :
( ~ ~ ( ~ ( sK9_SY236 @ SV39 )
| ~ ( sK9_SY236 @ SY405 ) )
| ( sK9_SY236 @ ( sK10_SY261 @ SV39 @ SY405 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(273,plain,
! [SV40: a] :
( ( ! [SY406: a] :
( ~ ~ ( ~ ( sK13_SY330 @ SV40 )
| ~ ( sK13_SY330 @ SY406 ) )
| ( sK13_SY330 @ ( sK14_SY351 @ SV40 @ SY406 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(274,plain,
! [SV41: b] :
( ( ~ ( sK11_SY285 @ SV41 )
| ( sK13_SY330 @ ( sK8_SY210 @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(275,plain,
! [SV42: g] :
( ( ~ ( sK9_SY236 @ SV42 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SV42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(276,plain,
! [SV43: g] :
( ( ~ ( sK9_SY236 @ SV43 )
| ( sK11_SY285 @ ( sK7_Xh10 @ SV43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(277,plain,
! [SV44: b] :
( ( ! [SY407: b] :
( ~ ~ ( ~ ( sK11_SY285 @ SV44 )
| ~ ( sK11_SY285 @ SY407 ) )
| ( ( sK8_SY210 @ ( sK12_SY308 @ SV44 @ SY407 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV44 ) @ ( sK8_SY210 @ SY407 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[268]) ).
thf(278,plain,
! [SV37: g] :
( ( ( ~ ( sK9_SY236 @ SV37 ) )
= $true )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(279,plain,
! [SV45: g,SV38: g] :
( ( ~ ~ ( ~ ( sK9_SY236 @ SV38 )
| ~ ( sK9_SY236 @ SV45 ) )
| ( ( sK7_Xh10 @ ( sK10_SY261 @ SV38 @ SV45 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV38 ) @ ( sK7_Xh10 @ SV45 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[270]) ).
thf(280,plain,
( ( ! [SY408: g] :
( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK9_SY236 @ sK20_SX0 )
| ~ ( sK9_SY236 @ SY408 ) )
| ~ ( sK9_SY236 @ sK20_SX0 ) )
| ~ ( sK9_SY236 @ SY408 ) )
| ( ( sK8_SY210 @ ( sK7_Xh10 @ ( sK10_SY261 @ sK20_SX0 @ SY408 ) ) )
= ( sK14_SY351 @ ( sK8_SY210 @ ( sK7_Xh10 @ sK20_SX0 ) ) @ ( sK8_SY210 @ ( sK7_Xh10 @ SY408 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[271]) ).
thf(281,plain,
! [SV46: g,SV39: g] :
( ( ~ ~ ( ~ ( sK9_SY236 @ SV39 )
| ~ ( sK9_SY236 @ SV46 ) )
| ( sK9_SY236 @ ( sK10_SY261 @ SV39 @ SV46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[272]) ).
thf(282,plain,
! [SV47: a,SV40: a] :
( ( ~ ~ ( ~ ( sK13_SY330 @ SV40 )
| ~ ( sK13_SY330 @ SV47 ) )
| ( sK13_SY330 @ ( sK14_SY351 @ SV40 @ SV47 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[273]) ).
thf(283,plain,
! [SV41: b] :
( ( ( ~ ( sK11_SY285 @ SV41 ) )
= $true )
| ( ( sK13_SY330 @ ( sK8_SY210 @ SV41 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[274]) ).
thf(284,plain,
! [SV42: g] :
( ( ( ~ ( sK9_SY236 @ SV42 ) )
= $true )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV42 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[275]) ).
thf(285,plain,
! [SV43: g] :
( ( ( ~ ( sK9_SY236 @ SV43 ) )
= $true )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV43 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[276]) ).
thf(286,plain,
! [SV48: b,SV44: b] :
( ( ~ ~ ( ~ ( sK11_SY285 @ SV44 )
| ~ ( sK11_SY285 @ SV48 ) )
| ( ( sK8_SY210 @ ( sK12_SY308 @ SV44 @ SV48 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV44 ) @ ( sK8_SY210 @ SV48 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[277]) ).
thf(287,plain,
! [SV37: g] :
( ( ( sK9_SY236 @ SV37 )
= $false )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[278]) ).
thf(288,plain,
! [SV45: g,SV38: g] :
( ( ( ~ ~ ( ~ ( sK9_SY236 @ SV38 )
| ~ ( sK9_SY236 @ SV45 ) ) )
= $true )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV38 @ SV45 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV38 ) @ ( sK7_Xh10 @ SV45 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[279]) ).
thf(289,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK9_SY236 @ sK20_SX0 )
| ~ ( sK9_SY236 @ sK21_SY408 ) )
| ~ ( sK9_SY236 @ sK20_SX0 ) )
| ~ ( sK9_SY236 @ sK21_SY408 ) )
| ( ( sK8_SY210 @ ( sK7_Xh10 @ ( sK10_SY261 @ sK20_SX0 @ sK21_SY408 ) ) )
= ( sK14_SY351 @ ( sK8_SY210 @ ( sK7_Xh10 @ sK20_SX0 ) ) @ ( sK8_SY210 @ ( sK7_Xh10 @ sK21_SY408 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[280]) ).
thf(290,plain,
! [SV46: g,SV39: g] :
( ( ( ~ ~ ( ~ ( sK9_SY236 @ SV39 )
| ~ ( sK9_SY236 @ SV46 ) ) )
= $true )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV39 @ SV46 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[281]) ).
thf(291,plain,
! [SV47: a,SV40: a] :
( ( ( ~ ~ ( ~ ( sK13_SY330 @ SV40 )
| ~ ( sK13_SY330 @ SV47 ) ) )
= $true )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV40 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[282]) ).
thf(292,plain,
! [SV41: b] :
( ( ( sK11_SY285 @ SV41 )
= $false )
| ( ( sK13_SY330 @ ( sK8_SY210 @ SV41 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[283]) ).
thf(293,plain,
! [SV42: g] :
( ( ( sK9_SY236 @ SV42 )
= $false )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV42 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[284]) ).
thf(294,plain,
! [SV43: g] :
( ( ( sK9_SY236 @ SV43 )
= $false )
| ( ( sK11_SY285 @ ( sK7_Xh10 @ SV43 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[285]) ).
thf(295,plain,
! [SV48: b,SV44: b] :
( ( ( ~ ~ ( ~ ( sK11_SY285 @ SV44 )
| ~ ( sK11_SY285 @ SV48 ) ) )
= $true )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV44 @ SV48 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV44 ) @ ( sK8_SY210 @ SV48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[286]) ).
thf(296,plain,
! [SV45: g,SV38: g] :
( ( ( ~ ( ~ ( sK9_SY236 @ SV38 )
| ~ ( sK9_SY236 @ SV45 ) ) )
= $false )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV38 @ SV45 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV38 ) @ ( sK7_Xh10 @ SV45 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[288]) ).
thf(297,plain,
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( sK9_SY236 @ sK20_SX0 )
| ~ ( sK9_SY236 @ sK21_SY408 ) )
| ~ ( sK9_SY236 @ sK20_SX0 ) )
| ~ ( sK9_SY236 @ sK21_SY408 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(298,plain,
( ( ( sK8_SY210 @ ( sK7_Xh10 @ ( sK10_SY261 @ sK20_SX0 @ sK21_SY408 ) ) )
= ( sK14_SY351 @ ( sK8_SY210 @ ( sK7_Xh10 @ sK20_SX0 ) ) @ ( sK8_SY210 @ ( sK7_Xh10 @ sK21_SY408 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[289]) ).
thf(299,plain,
! [SV46: g,SV39: g] :
( ( ( ~ ( ~ ( sK9_SY236 @ SV39 )
| ~ ( sK9_SY236 @ SV46 ) ) )
= $false )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV39 @ SV46 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(300,plain,
! [SV47: a,SV40: a] :
( ( ( ~ ( ~ ( sK13_SY330 @ SV40 )
| ~ ( sK13_SY330 @ SV47 ) ) )
= $false )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV40 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(301,plain,
! [SV48: b,SV44: b] :
( ( ( ~ ( ~ ( sK11_SY285 @ SV44 )
| ~ ( sK11_SY285 @ SV48 ) ) )
= $false )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV44 @ SV48 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV44 ) @ ( sK8_SY210 @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[295]) ).
thf(302,plain,
! [SV45: g,SV38: g] :
( ( ( ~ ( sK9_SY236 @ SV38 )
| ~ ( sK9_SY236 @ SV45 ) )
= $true )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV38 @ SV45 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV38 ) @ ( sK7_Xh10 @ SV45 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(303,plain,
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( sK9_SY236 @ sK20_SX0 )
| ~ ( sK9_SY236 @ sK21_SY408 ) )
| ~ ( sK9_SY236 @ sK20_SX0 ) )
| ~ ( sK9_SY236 @ sK21_SY408 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(304,plain,
! [SV46: g,SV39: g] :
( ( ( ~ ( sK9_SY236 @ SV39 )
| ~ ( sK9_SY236 @ SV46 ) )
= $true )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV39 @ SV46 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[299]) ).
thf(305,plain,
! [SV47: a,SV40: a] :
( ( ( ~ ( sK13_SY330 @ SV40 )
| ~ ( sK13_SY330 @ SV47 ) )
= $true )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV40 @ SV47 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[300]) ).
thf(306,plain,
! [SV48: b,SV44: b] :
( ( ( ~ ( sK11_SY285 @ SV44 )
| ~ ( sK11_SY285 @ SV48 ) )
= $true )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV44 @ SV48 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV44 ) @ ( sK8_SY210 @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[301]) ).
thf(307,plain,
! [SV45: g,SV38: g] :
( ( ( ~ ( sK9_SY236 @ SV38 ) )
= $true )
| ( ( ~ ( sK9_SY236 @ SV45 ) )
= $true )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV38 @ SV45 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV38 ) @ ( sK7_Xh10 @ SV45 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[302]) ).
thf(308,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK9_SY236 @ sK20_SX0 )
| ~ ( sK9_SY236 @ sK21_SY408 ) )
| ~ ( sK9_SY236 @ sK20_SX0 ) )
| ~ ( sK9_SY236 @ sK21_SY408 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[303]) ).
thf(309,plain,
! [SV46: g,SV39: g] :
( ( ( ~ ( sK9_SY236 @ SV39 ) )
= $true )
| ( ( ~ ( sK9_SY236 @ SV46 ) )
= $true )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV39 @ SV46 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[304]) ).
thf(310,plain,
! [SV47: a,SV40: a] :
( ( ( ~ ( sK13_SY330 @ SV40 ) )
= $true )
| ( ( ~ ( sK13_SY330 @ SV47 ) )
= $true )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV40 @ SV47 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[305]) ).
thf(311,plain,
! [SV48: b,SV44: b] :
( ( ( ~ ( sK11_SY285 @ SV44 ) )
= $true )
| ( ( ~ ( sK11_SY285 @ SV48 ) )
= $true )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV44 @ SV48 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV44 ) @ ( sK8_SY210 @ SV48 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[306]) ).
thf(312,plain,
! [SV45: g,SV38: g] :
( ( ( sK9_SY236 @ SV38 )
= $false )
| ( ( ~ ( sK9_SY236 @ SV45 ) )
= $true )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV38 @ SV45 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV38 ) @ ( sK7_Xh10 @ SV45 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[307]) ).
thf(313,plain,
( ( ~ ~ ( ~ ~ ( ~ ( sK9_SY236 @ sK20_SX0 )
| ~ ( sK9_SY236 @ sK21_SY408 ) )
| ~ ( sK9_SY236 @ sK20_SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(314,plain,
( ( ~ ( sK9_SY236 @ sK21_SY408 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[308]) ).
thf(315,plain,
! [SV46: g,SV39: g] :
( ( ( sK9_SY236 @ SV39 )
= $false )
| ( ( ~ ( sK9_SY236 @ SV46 ) )
= $true )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV39 @ SV46 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(316,plain,
! [SV47: a,SV40: a] :
( ( ( sK13_SY330 @ SV40 )
= $false )
| ( ( ~ ( sK13_SY330 @ SV47 ) )
= $true )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV40 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[310]) ).
thf(317,plain,
! [SV48: b,SV44: b] :
( ( ( sK11_SY285 @ SV44 )
= $false )
| ( ( ~ ( sK11_SY285 @ SV48 ) )
= $true )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV44 @ SV48 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV44 ) @ ( sK8_SY210 @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[311]) ).
thf(318,plain,
! [SV38: g,SV45: g] :
( ( ( sK9_SY236 @ SV45 )
= $false )
| ( ( sK9_SY236 @ SV38 )
= $false )
| ( ( ( sK7_Xh10 @ ( sK10_SY261 @ SV38 @ SV45 ) )
= ( sK12_SY308 @ ( sK7_Xh10 @ SV38 ) @ ( sK7_Xh10 @ SV45 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[312]) ).
thf(319,plain,
( ( ~ ( ~ ~ ( ~ ( sK9_SY236 @ sK20_SX0 )
| ~ ( sK9_SY236 @ sK21_SY408 ) )
| ~ ( sK9_SY236 @ sK20_SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[313]) ).
thf(320,plain,
( ( sK9_SY236 @ sK21_SY408 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[314]) ).
thf(321,plain,
! [SV39: g,SV46: g] :
( ( ( sK9_SY236 @ SV46 )
= $false )
| ( ( sK9_SY236 @ SV39 )
= $false )
| ( ( sK9_SY236 @ ( sK10_SY261 @ SV39 @ SV46 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[315]) ).
thf(322,plain,
! [SV40: a,SV47: a] :
( ( ( sK13_SY330 @ SV47 )
= $false )
| ( ( sK13_SY330 @ SV40 )
= $false )
| ( ( sK13_SY330 @ ( sK14_SY351 @ SV40 @ SV47 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[316]) ).
thf(323,plain,
! [SV44: b,SV48: b] :
( ( ( sK11_SY285 @ SV48 )
= $false )
| ( ( sK11_SY285 @ SV44 )
= $false )
| ( ( ( sK8_SY210 @ ( sK12_SY308 @ SV44 @ SV48 ) )
= ( sK14_SY351 @ ( sK8_SY210 @ SV44 ) @ ( sK8_SY210 @ SV48 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[317]) ).
thf(324,plain,
( ( ~ ~ ( ~ ( sK9_SY236 @ sK20_SX0 )
| ~ ( sK9_SY236 @ sK21_SY408 ) )
| ~ ( sK9_SY236 @ sK20_SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[319]) ).
thf(325,plain,
( ( ~ ~ ( ~ ( sK9_SY236 @ sK20_SX0 )
| ~ ( sK9_SY236 @ sK21_SY408 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[324]) ).
thf(326,plain,
( ( ~ ( sK9_SY236 @ sK20_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[324]) ).
thf(327,plain,
( ( ~ ( ~ ( sK9_SY236 @ sK20_SX0 )
| ~ ( sK9_SY236 @ sK21_SY408 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[325]) ).
thf(328,plain,
( ( sK9_SY236 @ sK20_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[326]) ).
thf(329,plain,
( ( ~ ( sK9_SY236 @ sK20_SX0 )
| ~ ( sK9_SY236 @ sK21_SY408 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[327]) ).
thf(330,plain,
( ( ~ ( sK9_SY236 @ sK20_SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[329]) ).
thf(331,plain,
( ( ~ ( sK9_SY236 @ sK21_SY408 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[329]) ).
thf(332,plain,
( ( sK9_SY236 @ sK20_SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[330]) ).
thf(333,plain,
( ( sK9_SY236 @ sK21_SY408 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[331]) ).
thf(334,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[287,333,332,328,323,322,321,320,318,298,294,293,292]) ).
thf(335,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[334,108,182,250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO225^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.18 % Computer : n013.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 17:32:51 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.31
% 0.47/0.31 No.of.Axioms: 0
% 0.47/0.31
% 0.47/0.31 Length.of.Defs: 0
% 0.47/0.31
% 0.47/0.31 Contains.Choice.Funs: false
% 0.47/0.31 .............
% 0.47/0.31
% 0.47/0.31 ********************************
% 0.47/0.31 * All subproblems solved! *
% 0.47/0.31 ********************************
% 0.47/0.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:8,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:334,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.47/0.31
% 0.47/0.31 %**** Beginning of derivation protocol ****
% 0.47/0.31 % SZS output start CNFRefutation
% See solution above
% 0.47/0.31
% 0.47/0.31 %**** End of derivation protocol ****
% 0.47/0.31 %**** no. of clauses in derivation: 335 ****
% 0.47/0.31 %**** clause counter: 334 ****
% 0.47/0.31
% 0.47/0.31 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:8,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:334,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------