TSTP Solution File: GEO524+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : GEO524+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 05:10:29 EDT 2022
% Result : Theorem 3.35s 3.56s
% Output : CNFRefutation 3.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 60
% Syntax : Number of formulae : 111 ( 43 unt; 56 typ; 0 def)
% Number of atoms : 258 ( 194 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 428 ( 67 ~; 75 |; 4 &; 282 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 181 ( 181 >; 0 *; 0 +; 0 <<)
% Number of symbols : 59 ( 56 usr; 15 con; 0-8 aty)
% Number of variables : 130 ( 0 ^ 130 !; 0 ?; 130 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_alpha,type,
alpha: $i ).
thf(tp_beta,type,
beta: $i ).
thf(tp_c63,type,
c63: $i > $i > $i > $i ).
thf(tp_crossbar,type,
crossbar: $i > $i > $i > $i > $i > $i > $i ).
thf(tp_erect,type,
erect: $i > $i > $i > $i ).
thf(tp_erect21a,type,
erect21a: $i > $i > $i > $i ).
thf(tp_erectAux,type,
erectAux: $i > $i > $i > $i ).
thf(tp_erectAux21a,type,
erectAux21a: $i > $i > $i > $i ).
thf(tp_ext,type,
ext: $i > $i > $i > $i > $i ).
thf(tp_f811,type,
f811: $i > $i > $i > $i > $i > $i ).
thf(tp_f813,type,
f813: $i > $i > $i > $i > $i > $i ).
thf(tp_foot,type,
foot: $i > $i > $i > $i ).
thf(tp_g811,type,
g811: $i > $i > $i > $i > $i > $i ).
thf(tp_g813,type,
g813: $i > $i > $i > $i > $i > $i ).
thf(tp_gamma,type,
gamma: $i ).
thf(tp_il,type,
il: $i > $i > $i > $i > $i ).
thf(tp_ins,type,
ins: $i > $i > $i > $i > $i ).
thf(tp_insert,type,
insert: $i > $i > $i > $i > $i ).
thf(tp_insert5,type,
insert5: $i > $i > $i > $i > $i > $i ).
thf(tp_ip,type,
ip: $i > $i > $i > $i > $i > $i ).
thf(tp_isomidpoint,type,
isomidpoint: $i > $i > $i > $i ).
thf(tp_le,type,
le: $i > $i > $i > $i > $o ).
thf(tp_midpoint,type,
midpoint: $i > $i > $i ).
thf(tp_midpointAux,type,
midpointAux: $i > $i > $i > $i > $i > $i ).
thf(tp_op,type,
op: $i > $i > $i > $i > $i > $i ).
thf(tp_opposite,type,
opposite: $i > $i > $i > $i > $o ).
thf(tp_perp,type,
perp: $i > $i > $i > $i > $o ).
thf(tp_perpAt,type,
perpAt: $i > $i > $i > $i > $i > $o ).
thf(tp_pointOffLine,type,
pointOffLine: $i > $i > $i ).
thf(tp_reflect,type,
reflect: $i > $i > $i > $i ).
thf(tp_s,type,
s: $i > $i > $i ).
thf(tp_sK1_Xa,type,
sK1_Xa: $i ).
thf(tp_sK2_SY15,type,
sK2_SY15: $i ).
thf(tp_sK3_SY18,type,
sK3_SY18: $i ).
thf(tp_sK4_SY20,type,
sK4_SY20: $i ).
thf(tp_s_afs,type,
s_afs: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(tp_s_col,type,
s_col: $i > $i > $i > $o ).
thf(tp_s_e,type,
s_e: $i > $i > $i > $i > $o ).
thf(tp_s_e3,type,
s_e3: $i > $i > $i > $i > $i > $i > $o ).
thf(tp_s_fs,type,
s_fs: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(tp_s_ifs,type,
s_ifs: $i > $i > $i > $i > $i > $i > $i > $i > $o ).
thf(tp_s_kf,type,
s_kf: $i > $i > $i > $i > $i > $i > $i > $o ).
thf(tp_s_m,type,
s_m: $i > $i > $i > $o ).
thf(tp_s_r,type,
s_r: $i > $i > $i > $o ).
thf(tp_s_t,type,
s_t: $i > $i > $i > $o ).
thf(tp_sameside,type,
sameside: $i > $i > $i > $o ).
thf(tp_samesideline,type,
samesideline: $i > $i > $i > $i > $o ).
thf(tp_ss1,type,
ss1: $i > $i > $i > $i > $i ).
thf(tp_ss2,type,
ss2: $i > $i > $i > $i > $i ).
thf(tp_ss3,type,
ss3: $i > $i > $i > $i > $i ).
thf(tp_xa,type,
xa: $i ).
thf(tp_xb,type,
xb: $i ).
thf(tp_xc,type,
xc: $i ).
thf(tp_xd,type,
xd: $i ).
thf(tp_xp,type,
xp: $i ).
thf(tp_xq,type,
xq: $i ).
thf(16,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp1 )
| ( Xp
= ( reflect @ Xa @ Xb @ Xp1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_6) ).
thf(17,axiom,
! [Xa: $i,Xb: $i,Xp: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ ( reflect @ Xa @ Xb @ Xp ) )
= Xp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_5) ).
thf(18,axiom,
! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp1 )
| ( ( reflect @ Xa @ Xb @ Xp1 )
= Xp ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_4) ).
thf(204,conjecture,
! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ Xp )
!= ( reflect @ Xa @ Xb @ Xq ) )
| ( Xp = Xq ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',aSatz10_7) ).
thf(205,negated_conjecture,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ Xp )
!= ( reflect @ Xa @ Xb @ Xq ) )
| ( Xp = Xq ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[204]) ).
thf(206,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xq: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ Xp )
!= ( reflect @ Xa @ Xb @ Xq ) )
| ( Xp = Xq ) ) )
= $false ),
inference(unfold_def,[status(thm)],[205]) ).
thf(207,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp1 )
| ( Xp
= ( reflect @ Xa @ Xb @ Xp1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(208,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ ( reflect @ Xa @ Xb @ Xp ) )
= Xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(209,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( Xa = Xb )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp1 )
| ( ( reflect @ Xa @ Xb @ Xp1 )
= Xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(210,plain,
( ( ! [SY15: $i,SY16: $i,SY17: $i] :
( ( sK1_Xa = SY15 )
| ( ( reflect @ sK1_Xa @ SY15 @ SY16 )
!= ( reflect @ sK1_Xa @ SY15 @ SY17 ) )
| ( SY16 = SY17 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[206]) ).
thf(211,plain,
( ( ! [SY18: $i,SY19: $i] :
( ( sK1_Xa = sK2_SY15 )
| ( ( reflect @ sK1_Xa @ sK2_SY15 @ SY18 )
!= ( reflect @ sK1_Xa @ sK2_SY15 @ SY19 ) )
| ( SY18 = SY19 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[210]) ).
thf(212,plain,
( ( ! [SY20: $i] :
( ( sK1_Xa = sK2_SY15 )
| ( ( reflect @ sK1_Xa @ sK2_SY15 @ sK3_SY18 )
!= ( reflect @ sK1_Xa @ sK2_SY15 @ SY20 ) )
| ( sK3_SY18 = SY20 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[211]) ).
thf(213,plain,
( ( ( sK1_Xa = sK2_SY15 )
| ( ( reflect @ sK1_Xa @ sK2_SY15 @ sK3_SY18 )
!= ( reflect @ sK1_Xa @ sK2_SY15 @ sK4_SY20 ) )
| ( sK3_SY18 = sK4_SY20 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[212]) ).
thf(214,plain,
( ( ~ ( ( sK1_Xa = sK2_SY15 )
| ( ( reflect @ sK1_Xa @ sK2_SY15 @ sK3_SY18 )
!= ( reflect @ sK1_Xa @ sK2_SY15 @ sK4_SY20 ) )
| ( sK3_SY18 = sK4_SY20 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[213]) ).
thf(215,plain,
( ( ( sK3_SY18 != sK4_SY20 )
& ( ( reflect @ sK1_Xa @ sK2_SY15 @ sK3_SY18 )
= ( reflect @ sK1_Xa @ sK2_SY15 @ sK4_SY20 ) )
& ( sK1_Xa != sK2_SY15 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[214]) ).
thf(216,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( Xp
= ( reflect @ Xa @ Xb @ Xp1 ) )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp1 )
| ( Xa = Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[207]) ).
thf(217,plain,
( ( ! [Xa: $i,Xb: $i] :
( ( Xa = Xb )
| ! [Xp: $i] :
( ( reflect @ Xa @ Xb @ ( reflect @ Xa @ Xb @ Xp ) )
= Xp ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[208]) ).
thf(218,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( ( reflect @ Xa @ Xb @ Xp1 )
= Xp )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp1 )
| ( Xa = Xb ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[209]) ).
thf(219,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( ( reflect @ Xa @ Xb @ Xp1 )
= Xp )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp1 )
| ( Xa = Xb ) ) )
= $true ),
inference(copy,[status(thm)],[218]) ).
thf(220,plain,
( ( ! [Xa: $i,Xb: $i] :
( ( Xa = Xb )
| ! [Xp: $i] :
( ( reflect @ Xa @ Xb @ ( reflect @ Xa @ Xb @ Xp ) )
= Xp ) ) )
= $true ),
inference(copy,[status(thm)],[217]) ).
thf(221,plain,
( ( ! [Xa: $i,Xb: $i,Xp: $i,Xp1: $i] :
( ( Xp
= ( reflect @ Xa @ Xb @ Xp1 ) )
| ( ( reflect @ Xa @ Xb @ Xp )
!= Xp1 )
| ( Xa = Xb ) ) )
= $true ),
inference(copy,[status(thm)],[216]) ).
thf(222,plain,
( ( ( sK3_SY18 != sK4_SY20 )
& ( ( reflect @ sK1_Xa @ sK2_SY15 @ sK3_SY18 )
= ( reflect @ sK1_Xa @ sK2_SY15 @ sK4_SY20 ) )
& ( sK1_Xa != sK2_SY15 ) )
= $true ),
inference(copy,[status(thm)],[215]) ).
thf(223,plain,
( ( ~ ( ~ ( ( sK3_SY18 != sK4_SY20 ) )
| ~ ~ ( ( ( reflect @ sK1_Xa @ sK2_SY15 @ sK3_SY18 )
!= ( reflect @ sK1_Xa @ sK2_SY15 @ sK4_SY20 ) )
| ~ ( ( sK1_Xa != sK2_SY15 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[222]) ).
thf(224,plain,
! [SV1: $i] :
( ( ! [SY21: $i,SY22: $i,SY23: $i] :
( ( ( reflect @ SV1 @ SY21 @ SY23 )
= SY22 )
| ( ( reflect @ SV1 @ SY21 @ SY22 )
!= SY23 )
| ( SV1 = SY21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[219]) ).
thf(225,plain,
! [SV2: $i] :
( ( ! [SY24: $i] :
( ( SV2 = SY24 )
| ! [SY25: $i] :
( ( reflect @ SV2 @ SY24 @ ( reflect @ SV2 @ SY24 @ SY25 ) )
= SY25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[220]) ).
thf(226,plain,
! [SV3: $i] :
( ( ! [SY26: $i,SY27: $i,SY28: $i] :
( ( SY27
= ( reflect @ SV3 @ SY26 @ SY28 ) )
| ( ( reflect @ SV3 @ SY26 @ SY27 )
!= SY28 )
| ( SV3 = SY26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(227,plain,
( ( ~ ( ( sK3_SY18 != sK4_SY20 ) )
| ~ ~ ( ( ( reflect @ sK1_Xa @ sK2_SY15 @ sK3_SY18 )
!= ( reflect @ sK1_Xa @ sK2_SY15 @ sK4_SY20 ) )
| ~ ( ( sK1_Xa != sK2_SY15 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(228,plain,
! [SV4: $i,SV1: $i] :
( ( ! [SY29: $i,SY30: $i] :
( ( ( reflect @ SV1 @ SV4 @ SY30 )
= SY29 )
| ( ( reflect @ SV1 @ SV4 @ SY29 )
!= SY30 )
| ( SV1 = SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[224]) ).
thf(229,plain,
! [SV5: $i,SV2: $i] :
( ( ( SV2 = SV5 )
| ! [SY31: $i] :
( ( reflect @ SV2 @ SV5 @ ( reflect @ SV2 @ SV5 @ SY31 ) )
= SY31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(230,plain,
! [SV6: $i,SV3: $i] :
( ( ! [SY32: $i,SY33: $i] :
( ( SY32
= ( reflect @ SV3 @ SV6 @ SY33 ) )
| ( ( reflect @ SV3 @ SV6 @ SY32 )
!= SY33 )
| ( SV3 = SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[226]) ).
thf(231,plain,
( ( ~ ( ( sK3_SY18 != sK4_SY20 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(232,plain,
( ( ~ ~ ( ( ( reflect @ sK1_Xa @ sK2_SY15 @ sK3_SY18 )
!= ( reflect @ sK1_Xa @ sK2_SY15 @ sK4_SY20 ) )
| ~ ( ( sK1_Xa != sK2_SY15 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[227]) ).
thf(233,plain,
! [SV7: $i,SV4: $i,SV1: $i] :
( ( ! [SY34: $i] :
( ( ( reflect @ SV1 @ SV4 @ SY34 )
= SV7 )
| ( ( reflect @ SV1 @ SV4 @ SV7 )
!= SY34 )
| ( SV1 = SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[228]) ).
thf(234,plain,
! [SV5: $i,SV2: $i] :
( ( ( SV2 = SV5 )
= $true )
| ( ( ! [SY31: $i] :
( ( reflect @ SV2 @ SV5 @ ( reflect @ SV2 @ SV5 @ SY31 ) )
= SY31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[229]) ).
thf(235,plain,
! [SV6: $i,SV3: $i,SV8: $i] :
( ( ! [SY35: $i] :
( ( SV8
= ( reflect @ SV3 @ SV6 @ SY35 ) )
| ( ( reflect @ SV3 @ SV6 @ SV8 )
!= SY35 )
| ( SV3 = SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[230]) ).
thf(236,plain,
( ( ( sK3_SY18 != sK4_SY20 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[231]) ).
thf(237,plain,
( ( ~ ( ( ( reflect @ sK1_Xa @ sK2_SY15 @ sK3_SY18 )
!= ( reflect @ sK1_Xa @ sK2_SY15 @ sK4_SY20 ) )
| ~ ( ( sK1_Xa != sK2_SY15 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[232]) ).
thf(238,plain,
! [SV7: $i,SV9: $i,SV4: $i,SV1: $i] :
( ( ( ( reflect @ SV1 @ SV4 @ SV9 )
= SV7 )
| ( ( reflect @ SV1 @ SV4 @ SV7 )
!= SV9 )
| ( SV1 = SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[233]) ).
thf(239,plain,
! [SV10: $i,SV5: $i,SV2: $i] :
( ( ( ( reflect @ SV2 @ SV5 @ ( reflect @ SV2 @ SV5 @ SV10 ) )
= SV10 )
= $true )
| ( ( SV2 = SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(240,plain,
! [SV11: $i,SV6: $i,SV3: $i,SV8: $i] :
( ( ( SV8
= ( reflect @ SV3 @ SV6 @ SV11 ) )
| ( ( reflect @ SV3 @ SV6 @ SV8 )
!= SV11 )
| ( SV3 = SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[235]) ).
thf(241,plain,
( ( sK3_SY18 = sK4_SY20 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[236]) ).
thf(242,plain,
( ( ( ( reflect @ sK1_Xa @ sK2_SY15 @ sK3_SY18 )
!= ( reflect @ sK1_Xa @ sK2_SY15 @ sK4_SY20 ) )
| ~ ( ( sK1_Xa != sK2_SY15 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(243,plain,
! [SV7: $i,SV9: $i,SV4: $i,SV1: $i] :
( ( ( ( reflect @ SV1 @ SV4 @ SV9 )
= SV7 )
= $true )
| ( ( ( ( reflect @ SV1 @ SV4 @ SV7 )
!= SV9 )
| ( SV1 = SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[238]) ).
thf(244,plain,
! [SV11: $i,SV6: $i,SV3: $i,SV8: $i] :
( ( ( SV8
= ( reflect @ SV3 @ SV6 @ SV11 ) )
= $true )
| ( ( ( ( reflect @ SV3 @ SV6 @ SV8 )
!= SV11 )
| ( SV3 = SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[240]) ).
thf(245,plain,
( ( ( ( reflect @ sK1_Xa @ sK2_SY15 @ sK3_SY18 )
!= ( reflect @ sK1_Xa @ sK2_SY15 @ sK4_SY20 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(246,plain,
( ( ~ ( ( sK1_Xa != sK2_SY15 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[242]) ).
thf(247,plain,
! [SV9: $i,SV7: $i,SV4: $i,SV1: $i] :
( ( ( ( ( reflect @ SV1 @ SV4 @ SV7 )
!= SV9 ) )
= $true )
| ( ( SV1 = SV4 )
= $true )
| ( ( ( reflect @ SV1 @ SV4 @ SV9 )
= SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[243]) ).
thf(248,plain,
! [SV11: $i,SV8: $i,SV6: $i,SV3: $i] :
( ( ( ( ( reflect @ SV3 @ SV6 @ SV8 )
!= SV11 ) )
= $true )
| ( ( SV3 = SV6 )
= $true )
| ( ( SV8
= ( reflect @ SV3 @ SV6 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[244]) ).
thf(249,plain,
( ( ( reflect @ sK1_Xa @ sK2_SY15 @ sK3_SY18 )
= ( reflect @ sK1_Xa @ sK2_SY15 @ sK4_SY20 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(250,plain,
( ( ( sK1_Xa != sK2_SY15 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(251,plain,
! [SV9: $i,SV7: $i,SV4: $i,SV1: $i] :
( ( ( ( reflect @ SV1 @ SV4 @ SV7 )
= SV9 )
= $false )
| ( ( SV1 = SV4 )
= $true )
| ( ( ( reflect @ SV1 @ SV4 @ SV9 )
= SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[247]) ).
thf(252,plain,
! [SV11: $i,SV8: $i,SV6: $i,SV3: $i] :
( ( ( ( reflect @ SV3 @ SV6 @ SV8 )
= SV11 )
= $false )
| ( ( SV3 = SV6 )
= $true )
| ( ( SV8
= ( reflect @ SV3 @ SV6 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(253,plain,
( ( sK1_Xa = sK2_SY15 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[250]) ).
thf(254,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[239,253,252,251,249,241]) ).
thf(255,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO524+1 : TPTP v8.1.0. Released v7.0.0.
% 0.07/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.35 % Computer : n013.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 07:37:44 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.54 ....
% 3.27/3.42
% 3.27/3.42 No.of.Axioms: 203
% 3.27/3.42
% 3.27/3.42 Length.of.Defs: 0
% 3.27/3.42
% 3.27/3.42 Contains.Choice.Funs: false
% 3.35/3.51 ........
% 3.35/3.53 (rf:2,axioms:3,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:205,loop_count:0,foatp_calls:0,translation:fof_full)...
% 3.35/3.56
% 3.35/3.56 ********************************
% 3.35/3.56 * All subproblems solved! *
% 3.35/3.56 ********************************
% 3.35/3.56 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:3,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:254,loop_count:0,foatp_calls:1,translation:fof_full)
% 3.35/3.56
% 3.35/3.56 %**** Beginning of derivation protocol ****
% 3.35/3.56 % SZS output start CNFRefutation
% See solution above
% 3.35/3.57
% 3.35/3.57 %**** End of derivation protocol ****
% 3.35/3.57 %**** no. of clauses in derivation: 55 ****
% 3.35/3.57 %**** clause counter: 254 ****
% 3.35/3.57
% 3.35/3.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:2,axioms:3,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:254,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------