TSTP Solution File: GEO498+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : GEO498+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 : n017.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 05:10:23 EDT 2022
% Result : Theorem 1.05s 1.23s
% Output : CNFRefutation 1.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 36
% Syntax : Number of formulae : 105 ( 59 unt; 28 typ; 0 def)
% Number of atoms : 325 ( 172 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 494 ( 94 ~; 78 |; 4 &; 318 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 92 ( 92 >; 0 *; 0 +; 0 <<)
% Number of symbols : 31 ( 28 usr; 10 con; 0-8 aty)
% Number of variables : 164 ( 0 ^ 164 !; 0 ?; 164 :)
% 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_ext,type,
ext: $i > $i > $i > $i > $i ).
thf(tp_gamma,type,
gamma: $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_le,type,
le: $i > $i > $i > $i > $o ).
thf(tp_pointOffLine,type,
pointOffLine: $i > $i > $i ).
thf(tp_s,type,
s: $i > $i > $i ).
thf(tp_sK1_Xa,type,
sK1_Xa: $i ).
thf(tp_sK2_SY22,type,
sK2_SY22: $i ).
thf(tp_sK3_SY25,type,
sK3_SY25: $i ).
thf(tp_sK4_SY27,type,
sK4_SY27: $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_t,type,
s_t: $i > $i > $i > $o ).
thf(tp_sameside,type,
sameside: $i > $i > $i > $o ).
thf(tp_xb,type,
xb: $i ).
thf(11,axiom,
! [Xa: $i,Xp: $i] :
( ( s @ Xa @ ( s @ Xa @ Xp ) )
= Xp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_7) ).
thf(12,axiom,
! [Xp: $i,Xa: $i,Xq: $i] :
( ~ ( s_m @ Xp @ Xa @ Xq )
| ( Xq
= ( s @ Xa @ Xp ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_6) ).
thf(13,axiom,
! [Xp: $i,Xa: $i,Xr: $i,Xq: $i] :
( ~ ( s_m @ Xp @ Xa @ Xr )
| ~ ( s_m @ Xp @ Xa @ Xq )
| ( Xr = Xq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_4b) ).
thf(14,axiom,
! [Xp: $i,Xa: $i] : ( s_m @ Xp @ Xa @ ( s @ Xa @ Xp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_4a) ).
thf(15,axiom,
! [Xa: $i,Xm: $i] :
( ( s_m @ Xa @ Xm @ Xa )
| ( Xm != Xa ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_3b) ).
thf(16,axiom,
! [Xa: $i,Xm: $i] :
( ~ ( s_m @ Xa @ Xm @ Xa )
| ( Xm = Xa ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_3a) ).
thf(17,axiom,
! [Xa: $i,Xm: $i,Xb: $i] :
( ~ ( s_m @ Xa @ Xm @ Xb )
| ( s_m @ Xb @ Xm @ Xa ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_2) ).
thf(110,conjecture,
! [Xa: $i,Xp: $i,Xr: $i,Xq: $i] :
( ( ( s @ Xa @ Xp )
!= Xr )
| ( ( s @ Xa @ Xq )
!= Xr )
| ( Xp = Xq ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',aSatz7_8) ).
thf(111,negated_conjecture,
( ( ! [Xa: $i,Xp: $i,Xr: $i,Xq: $i] :
( ( ( s @ Xa @ Xp )
!= Xr )
| ( ( s @ Xa @ Xq )
!= Xr )
| ( Xp = Xq ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[110]) ).
thf(112,plain,
( ( ! [Xa: $i,Xp: $i,Xr: $i,Xq: $i] :
( ( ( s @ Xa @ Xp )
!= Xr )
| ( ( s @ Xa @ Xq )
!= Xr )
| ( Xp = Xq ) ) )
= $false ),
inference(unfold_def,[status(thm)],[111]) ).
thf(113,plain,
( ( ! [Xp: $i,Xa: $i,Xr: $i,Xq: $i] :
( ~ ( s_m @ Xp @ Xa @ Xr )
| ~ ( s_m @ Xp @ Xa @ Xq )
| ( Xr = Xq ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(114,plain,
( ( ! [Xa: $i,Xm: $i] :
( ( s_m @ Xa @ Xm @ Xa )
| ( Xm != Xa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(115,plain,
( ( ! [Xa: $i,Xm: $i] :
( ~ ( s_m @ Xa @ Xm @ Xa )
| ( Xm = Xa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(116,plain,
( ( ! [Xa: $i,Xm: $i,Xb: $i] :
( ~ ( s_m @ Xa @ Xm @ Xb )
| ( s_m @ Xb @ Xm @ Xa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(117,plain,
( ( ! [Xa: $i,Xp: $i] :
( ( s @ Xa @ ( s @ Xa @ Xp ) )
= Xp ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(118,plain,
( ( ! [Xp: $i,Xa: $i,Xq: $i] :
( ~ ( s_m @ Xp @ Xa @ Xq )
| ( Xq
= ( s @ Xa @ Xp ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(119,plain,
( ( ! [Xp: $i,Xa: $i] : ( s_m @ Xp @ Xa @ ( s @ Xa @ Xp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(120,plain,
( ( ! [SY22: $i,SY23: $i,SY24: $i] :
( ( ( s @ sK1_Xa @ SY22 )
!= SY23 )
| ( ( s @ sK1_Xa @ SY24 )
!= SY23 )
| ( SY22 = SY24 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[112]) ).
thf(121,plain,
( ( ! [SY25: $i,SY26: $i] :
( ( ( s @ sK1_Xa @ sK2_SY22 )
!= SY25 )
| ( ( s @ sK1_Xa @ SY26 )
!= SY25 )
| ( sK2_SY22 = SY26 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[120]) ).
thf(122,plain,
( ( ! [SY27: $i] :
( ( ( s @ sK1_Xa @ sK2_SY22 )
!= sK3_SY25 )
| ( ( s @ sK1_Xa @ SY27 )
!= sK3_SY25 )
| ( sK2_SY22 = SY27 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[121]) ).
thf(123,plain,
( ( ( ( s @ sK1_Xa @ sK2_SY22 )
!= sK3_SY25 )
| ( ( s @ sK1_Xa @ sK4_SY27 )
!= sK3_SY25 )
| ( sK2_SY22 = sK4_SY27 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[122]) ).
thf(124,plain,
( ( ~ ( ( ( s @ sK1_Xa @ sK2_SY22 )
!= sK3_SY25 )
| ( ( s @ sK1_Xa @ sK4_SY27 )
!= sK3_SY25 )
| ( sK2_SY22 = sK4_SY27 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[123]) ).
thf(125,plain,
( ( ( sK2_SY22 != sK4_SY27 )
& ( ( s @ sK1_Xa @ sK2_SY22 )
= sK3_SY25 )
& ( ( s @ sK1_Xa @ sK4_SY27 )
= sK3_SY25 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[124]) ).
thf(126,plain,
( ( ! [Xp: $i,Xa: $i,Xr: $i,Xq: $i] :
( ( Xr = Xq )
| ~ ( s_m @ Xp @ Xa @ Xr )
| ~ ( s_m @ Xp @ Xa @ Xq ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[113]) ).
thf(127,plain,
( ( ! [Xa: $i,Xm: $i] :
( ( Xm != Xa )
| ( s_m @ Xa @ Xm @ Xa ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[114]) ).
thf(128,plain,
( ( ! [Xp: $i,Xa: $i] : ( s_m @ Xp @ Xa @ ( s @ Xa @ Xp ) ) )
= $true ),
inference(copy,[status(thm)],[119]) ).
thf(129,plain,
( ( ! [Xp: $i,Xa: $i,Xq: $i] :
( ~ ( s_m @ Xp @ Xa @ Xq )
| ( Xq
= ( s @ Xa @ Xp ) ) ) )
= $true ),
inference(copy,[status(thm)],[118]) ).
thf(130,plain,
( ( ! [Xa: $i,Xp: $i] :
( ( s @ Xa @ ( s @ Xa @ Xp ) )
= Xp ) )
= $true ),
inference(copy,[status(thm)],[117]) ).
thf(131,plain,
( ( ! [Xa: $i,Xm: $i,Xb: $i] :
( ~ ( s_m @ Xa @ Xm @ Xb )
| ( s_m @ Xb @ Xm @ Xa ) ) )
= $true ),
inference(copy,[status(thm)],[116]) ).
thf(132,plain,
( ( ! [Xa: $i,Xm: $i] :
( ~ ( s_m @ Xa @ Xm @ Xa )
| ( Xm = Xa ) ) )
= $true ),
inference(copy,[status(thm)],[115]) ).
thf(133,plain,
( ( ! [Xa: $i,Xm: $i] :
( ( Xm != Xa )
| ( s_m @ Xa @ Xm @ Xa ) ) )
= $true ),
inference(copy,[status(thm)],[127]) ).
thf(134,plain,
( ( ! [Xp: $i,Xa: $i,Xr: $i,Xq: $i] :
( ( Xr = Xq )
| ~ ( s_m @ Xp @ Xa @ Xr )
| ~ ( s_m @ Xp @ Xa @ Xq ) ) )
= $true ),
inference(copy,[status(thm)],[126]) ).
thf(135,plain,
( ( ( sK2_SY22 != sK4_SY27 )
& ( ( s @ sK1_Xa @ sK2_SY22 )
= sK3_SY25 )
& ( ( s @ sK1_Xa @ sK4_SY27 )
= sK3_SY25 ) )
= $true ),
inference(copy,[status(thm)],[125]) ).
thf(136,plain,
( ( ~ ( ~ ( ( sK2_SY22 != sK4_SY27 ) )
| ~ ~ ( ( ( s @ sK1_Xa @ sK2_SY22 )
!= sK3_SY25 )
| ( ( s @ sK1_Xa @ sK4_SY27 )
!= sK3_SY25 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(137,plain,
! [SV1: $i] :
( ( ! [SY28: $i] : ( s_m @ SV1 @ SY28 @ ( s @ SY28 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(138,plain,
! [SV2: $i] :
( ( ! [SY29: $i,SY30: $i] :
( ~ ( s_m @ SV2 @ SY29 @ SY30 )
| ( SY30
= ( s @ SY29 @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(139,plain,
! [SV3: $i] :
( ( ! [SY31: $i] :
( ( s @ SV3 @ ( s @ SV3 @ SY31 ) )
= SY31 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(140,plain,
! [SV4: $i] :
( ( ! [SY32: $i,SY33: $i] :
( ~ ( s_m @ SV4 @ SY32 @ SY33 )
| ( s_m @ SY33 @ SY32 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(141,plain,
! [SV5: $i] :
( ( ! [SY34: $i] :
( ~ ( s_m @ SV5 @ SY34 @ SV5 )
| ( SY34 = SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[132]) ).
thf(142,plain,
! [SV6: $i] :
( ( ! [SY35: $i] :
( ( SY35 != SV6 )
| ( s_m @ SV6 @ SY35 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[133]) ).
thf(143,plain,
! [SV7: $i] :
( ( ! [SY36: $i,SY37: $i,SY38: $i] :
( ( SY37 = SY38 )
| ~ ( s_m @ SV7 @ SY36 @ SY37 )
| ~ ( s_m @ SV7 @ SY36 @ SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[134]) ).
thf(144,plain,
( ( ~ ( ( sK2_SY22 != sK4_SY27 ) )
| ~ ~ ( ( ( s @ sK1_Xa @ sK2_SY22 )
!= sK3_SY25 )
| ( ( s @ sK1_Xa @ sK4_SY27 )
!= sK3_SY25 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[136]) ).
thf(145,plain,
! [SV8: $i,SV1: $i] :
( ( s_m @ SV1 @ SV8 @ ( s @ SV8 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(146,plain,
! [SV9: $i,SV2: $i] :
( ( ! [SY39: $i] :
( ~ ( s_m @ SV2 @ SV9 @ SY39 )
| ( SY39
= ( s @ SV9 @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(147,plain,
! [SV10: $i,SV3: $i] :
( ( ( s @ SV3 @ ( s @ SV3 @ SV10 ) )
= SV10 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(148,plain,
! [SV11: $i,SV4: $i] :
( ( ! [SY40: $i] :
( ~ ( s_m @ SV4 @ SV11 @ SY40 )
| ( s_m @ SY40 @ SV11 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[140]) ).
thf(149,plain,
! [SV12: $i,SV5: $i] :
( ( ~ ( s_m @ SV5 @ SV12 @ SV5 )
| ( SV12 = SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(150,plain,
! [SV6: $i,SV13: $i] :
( ( ( SV13 != SV6 )
| ( s_m @ SV6 @ SV13 @ SV6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(151,plain,
! [SV14: $i,SV7: $i] :
( ( ! [SY41: $i,SY42: $i] :
( ( SY41 = SY42 )
| ~ ( s_m @ SV7 @ SV14 @ SY41 )
| ~ ( s_m @ SV7 @ SV14 @ SY42 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(152,plain,
( ( ~ ( ( sK2_SY22 != sK4_SY27 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(153,plain,
( ( ~ ~ ( ( ( s @ sK1_Xa @ sK2_SY22 )
!= sK3_SY25 )
| ( ( s @ sK1_Xa @ sK4_SY27 )
!= sK3_SY25 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[144]) ).
thf(154,plain,
! [SV15: $i,SV9: $i,SV2: $i] :
( ( ~ ( s_m @ SV2 @ SV9 @ SV15 )
| ( SV15
= ( s @ SV9 @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(155,plain,
! [SV16: $i,SV11: $i,SV4: $i] :
( ( ~ ( s_m @ SV4 @ SV11 @ SV16 )
| ( s_m @ SV16 @ SV11 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(156,plain,
! [SV12: $i,SV5: $i] :
( ( ( ~ ( s_m @ SV5 @ SV12 @ SV5 ) )
= $true )
| ( ( SV12 = SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(157,plain,
! [SV6: $i,SV13: $i] :
( ( ( ( SV13 != SV6 ) )
= $true )
| ( ( s_m @ SV6 @ SV13 @ SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[150]) ).
thf(158,plain,
! [SV14: $i,SV7: $i,SV17: $i] :
( ( ! [SY43: $i] :
( ( SV17 = SY43 )
| ~ ( s_m @ SV7 @ SV14 @ SV17 )
| ~ ( s_m @ SV7 @ SV14 @ SY43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(159,plain,
( ( ( sK2_SY22 != sK4_SY27 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[152]) ).
thf(160,plain,
( ( ~ ( ( ( s @ sK1_Xa @ sK2_SY22 )
!= sK3_SY25 )
| ( ( s @ sK1_Xa @ sK4_SY27 )
!= sK3_SY25 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[153]) ).
thf(161,plain,
! [SV15: $i,SV9: $i,SV2: $i] :
( ( ( ~ ( s_m @ SV2 @ SV9 @ SV15 ) )
= $true )
| ( ( SV15
= ( s @ SV9 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(162,plain,
! [SV16: $i,SV11: $i,SV4: $i] :
( ( ( ~ ( s_m @ SV4 @ SV11 @ SV16 ) )
= $true )
| ( ( s_m @ SV16 @ SV11 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(163,plain,
! [SV12: $i,SV5: $i] :
( ( ( s_m @ SV5 @ SV12 @ SV5 )
= $false )
| ( ( SV12 = SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(164,plain,
! [SV6: $i,SV13: $i] :
( ( ( SV13 = SV6 )
= $false )
| ( ( s_m @ SV6 @ SV13 @ SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(165,plain,
! [SV14: $i,SV7: $i,SV18: $i,SV17: $i] :
( ( ( SV17 = SV18 )
| ~ ( s_m @ SV7 @ SV14 @ SV17 )
| ~ ( s_m @ SV7 @ SV14 @ SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(166,plain,
( ( sK2_SY22 = sK4_SY27 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(167,plain,
( ( ( ( s @ sK1_Xa @ sK2_SY22 )
!= sK3_SY25 )
| ( ( s @ sK1_Xa @ sK4_SY27 )
!= sK3_SY25 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[160]) ).
thf(168,plain,
! [SV15: $i,SV9: $i,SV2: $i] :
( ( ( s_m @ SV2 @ SV9 @ SV15 )
= $false )
| ( ( SV15
= ( s @ SV9 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[161]) ).
thf(169,plain,
! [SV16: $i,SV11: $i,SV4: $i] :
( ( ( s_m @ SV4 @ SV11 @ SV16 )
= $false )
| ( ( s_m @ SV16 @ SV11 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(170,plain,
! [SV14: $i,SV7: $i,SV18: $i,SV17: $i] :
( ( ( SV17 = SV18 )
= $true )
| ( ( ~ ( s_m @ SV7 @ SV14 @ SV17 )
| ~ ( s_m @ SV7 @ SV14 @ SV18 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[165]) ).
thf(171,plain,
( ( ( ( s @ sK1_Xa @ sK2_SY22 )
!= sK3_SY25 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(172,plain,
( ( ( ( s @ sK1_Xa @ sK4_SY27 )
!= sK3_SY25 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[167]) ).
thf(173,plain,
! [SV18: $i,SV17: $i,SV14: $i,SV7: $i] :
( ( ( ~ ( s_m @ SV7 @ SV14 @ SV17 ) )
= $true )
| ( ( ~ ( s_m @ SV7 @ SV14 @ SV18 ) )
= $true )
| ( ( SV17 = SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(174,plain,
( ( ( s @ sK1_Xa @ sK2_SY22 )
= sK3_SY25 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(175,plain,
( ( ( s @ sK1_Xa @ sK4_SY27 )
= sK3_SY25 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(176,plain,
! [SV18: $i,SV17: $i,SV14: $i,SV7: $i] :
( ( ( s_m @ SV7 @ SV14 @ SV17 )
= $false )
| ( ( ~ ( s_m @ SV7 @ SV14 @ SV18 ) )
= $true )
| ( ( SV17 = SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(177,plain,
! [SV17: $i,SV18: $i,SV14: $i,SV7: $i] :
( ( ( s_m @ SV7 @ SV14 @ SV18 )
= $false )
| ( ( s_m @ SV7 @ SV14 @ SV17 )
= $false )
| ( ( SV17 = SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[176]) ).
thf(178,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[145,177,175,174,169,168,166,164,163,147]) ).
thf(179,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[178]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO498+1 : TPTP v8.1.0. Released v7.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 12:35:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.43 ..
% 0.89/1.14
% 0.89/1.14 No.of.Axioms: 109
% 0.89/1.14
% 0.89/1.14 Length.of.Defs: 0
% 0.89/1.14
% 0.89/1.14 Contains.Choice.Funs: false
% 1.01/1.19 ....
% 1.01/1.20 (rf:2,axioms:7,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:111,loop_count:0,foatp_calls:0,translation:fof_full)...
% 1.05/1.23
% 1.05/1.23 ********************************
% 1.05/1.23 * All subproblems solved! *
% 1.05/1.23 ********************************
% 1.05/1.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:7,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:178,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.05/1.24
% 1.05/1.24 %**** Beginning of derivation protocol ****
% 1.05/1.24 % SZS output start CNFRefutation
% See solution above
% 1.05/1.24
% 1.05/1.24 %**** End of derivation protocol ****
% 1.05/1.24 %**** no. of clauses in derivation: 77 ****
% 1.05/1.24 %**** clause counter: 178 ****
% 1.05/1.24
% 1.05/1.24 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:7,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:178,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------