%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO612-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 11:08:53 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.22s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 6
% Syntax : Number of formulae : 67 ( 35 unt; 0 typ; 0 def)
% Number of atoms : 967 ( 232 equ; 0 cnn)
% Maximal formula atoms : 13 ( 14 avg)
% Number of connectives : 2231 ( 314 ~; 436 |; 0 &;1481 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 8 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 301 ( 0 ^; 301 !; 0 ?; 301 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a0,type,
a0: $i ).
thf(tp_eq,type,
eq: $i > $i > $o ).
thf(tp_f,type,
f: $i > $i ).
thf(tp_le,type,
le: $i > $i > $o ).
thf(tp_max,type,
max: $i > $i > $i ).
thf(tp_s,type,
s: $i > $i ).
thf(1,axiom,
! [A0: $i,A1: $i,A2: $i,A3: $i,A4: $i,A5: $i,A6: $i] :
( ~ ( eq @ ( f @ A0 ) @ a0 )
| ~ ( eq @ ( f @ A1 ) @ a0 )
| ~ ( eq @ ( f @ A2 ) @ a0 )
| ~ ( eq @ ( f @ A3 ) @ a0 )
| ~ ( eq @ ( f @ A4 ) @ a0 )
| ~ ( eq @ ( f @ A5 ) @ a0 )
| ~ ( eq @ ( f @ A6 ) @ a0 )
| ~ ( le @ ( s @ A0 ) @ A1 )
| ~ ( le @ ( s @ A1 ) @ A2 )
| ~ ( le @ ( s @ A2 ) @ A3 )
| ~ ( le @ ( s @ A3 ) @ A4 )
| ~ ( le @ ( s @ A4 ) @ A5 )
| ~ ( le @ ( s @ A5 ) @ A6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_05) ).
thf(2,axiom,
! [A: $i] : ( eq @ ( f @ A ) @ a0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_04) ).
thf(3,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( le @ ( max @ A @ B ) @ C )
| ( le @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_03) ).
thf(4,axiom,
! [A: $i,B: $i,C: $i] :
( ~ ( le @ ( max @ A @ B ) @ C )
| ( le @ A @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_02) ).
thf(5,axiom,
! [A: $i] : ( le @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sos_01) ).
thf(6,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(7,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[6]) ).
thf(8,plain,
$false = $false,
inference(unfold_def,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [A0: $i,A1: $i,A2: $i,A3: $i,A4: $i,A5: $i,A6: $i] :
( ~ ( eq @ ( f @ A0 ) @ a0 )
| ~ ( eq @ ( f @ A1 ) @ a0 )
| ~ ( eq @ ( f @ A2 ) @ a0 )
| ~ ( eq @ ( f @ A3 ) @ a0 )
| ~ ( eq @ ( f @ A4 ) @ a0 )
| ~ ( eq @ ( f @ A5 ) @ a0 )
| ~ ( eq @ ( f @ A6 ) @ a0 )
| ~ ( le @ ( s @ A0 ) @ A1 )
| ~ ( le @ ( s @ A1 ) @ A2 )
| ~ ( le @ ( s @ A2 ) @ A3 )
| ~ ( le @ ( s @ A3 ) @ A4 )
| ~ ( le @ ( s @ A4 ) @ A5 )
| ~ ( le @ ( s @ A5 ) @ A6 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(10,plain,
( ( ! [A: $i] : ( eq @ ( f @ A ) @ a0 ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(11,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( le @ ( max @ A @ B ) @ C )
| ( le @ B @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(12,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( le @ ( max @ A @ B ) @ C )
| ( le @ A @ C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(13,plain,
( ( ! [A: $i] : ( le @ A @ A ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(14,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(15,plain,
( ( ! [A: $i] : ( le @ A @ A ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(16,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( le @ ( max @ A @ B ) @ C )
| ( le @ A @ C ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(17,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ~ ( le @ ( max @ A @ B ) @ C )
| ( le @ B @ C ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(18,plain,
( ( ! [A: $i] : ( eq @ ( f @ A ) @ a0 ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(19,plain,
( ( ! [A0: $i,A1: $i,A2: $i,A3: $i,A4: $i,A5: $i,A6: $i] :
( ~ ( eq @ ( f @ A0 ) @ a0 )
| ~ ( eq @ ( f @ A1 ) @ a0 )
| ~ ( eq @ ( f @ A2 ) @ a0 )
| ~ ( eq @ ( f @ A3 ) @ a0 )
| ~ ( eq @ ( f @ A4 ) @ a0 )
| ~ ( eq @ ( f @ A5 ) @ a0 )
| ~ ( eq @ ( f @ A6 ) @ a0 )
| ~ ( le @ ( s @ A0 ) @ A1 )
| ~ ( le @ ( s @ A1 ) @ A2 )
| ~ ( le @ ( s @ A2 ) @ A3 )
| ~ ( le @ ( s @ A3 ) @ A4 )
| ~ ( le @ ( s @ A4 ) @ A5 )
| ~ ( le @ ( s @ A5 ) @ A6 ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(20,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[14]) ).
thf(21,plain,
! [SV1: $i] :
( ( le @ SV1 @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(22,plain,
! [SV2: $i] :
( ( ! [SY15: $i,SY16: $i] :
( ~ ( le @ ( max @ SV2 @ SY15 ) @ SY16 )
| ( le @ SV2 @ SY16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(23,plain,
! [SV3: $i] :
( ( ! [SY17: $i,SY18: $i] :
( ~ ( le @ ( max @ SV3 @ SY17 ) @ SY18 )
| ( le @ SY17 @ SY18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(24,plain,
! [SV4: $i] :
( ( eq @ ( f @ SV4 ) @ a0 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(25,plain,
! [SV5: $i] :
( ( ! [SY19: $i,SY20: $i,SY21: $i,SY22: $i,SY23: $i,SY24: $i] :
( ~ ( eq @ ( f @ SV5 ) @ a0 )
| ~ ( eq @ ( f @ SY19 ) @ a0 )
| ~ ( eq @ ( f @ SY20 ) @ a0 )
| ~ ( eq @ ( f @ SY21 ) @ a0 )
| ~ ( eq @ ( f @ SY22 ) @ a0 )
| ~ ( eq @ ( f @ SY23 ) @ a0 )
| ~ ( eq @ ( f @ SY24 ) @ a0 )
| ~ ( le @ ( s @ SV5 ) @ SY19 )
| ~ ( le @ ( s @ SY19 ) @ SY20 )
| ~ ( le @ ( s @ SY20 ) @ SY21 )
| ~ ( le @ ( s @ SY21 ) @ SY22 )
| ~ ( le @ ( s @ SY22 ) @ SY23 )
| ~ ( le @ ( s @ SY23 ) @ SY24 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(26,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(27,plain,
! [SV6: $i,SV2: $i] :
( ( ! [SY25: $i] :
( ~ ( le @ ( max @ SV2 @ SV6 ) @ SY25 )
| ( le @ SV2 @ SY25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(28,plain,
! [SV7: $i,SV3: $i] :
( ( ! [SY26: $i] :
( ~ ( le @ ( max @ SV3 @ SV7 ) @ SY26 )
| ( le @ SV7 @ SY26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(29,plain,
! [SV8: $i,SV5: $i] :
( ( ! [SY27: $i,SY28: $i,SY29: $i,SY30: $i,SY31: $i] :
( ~ ( eq @ ( f @ SV5 ) @ a0 )
| ~ ( eq @ ( f @ SV8 ) @ a0 )
| ~ ( eq @ ( f @ SY27 ) @ a0 )
| ~ ( eq @ ( f @ SY28 ) @ a0 )
| ~ ( eq @ ( f @ SY29 ) @ a0 )
| ~ ( eq @ ( f @ SY30 ) @ a0 )
| ~ ( eq @ ( f @ SY31 ) @ a0 )
| ~ ( le @ ( s @ SV5 ) @ SV8 )
| ~ ( le @ ( s @ SV8 ) @ SY27 )
| ~ ( le @ ( s @ SY27 ) @ SY28 )
| ~ ( le @ ( s @ SY28 ) @ SY29 )
| ~ ( le @ ( s @ SY29 ) @ SY30 )
| ~ ( le @ ( s @ SY30 ) @ SY31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(30,plain,
! [SV9: $i,SV6: $i,SV2: $i] :
( ( ~ ( le @ ( max @ SV2 @ SV6 ) @ SV9 )
| ( le @ SV2 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(31,plain,
! [SV10: $i,SV7: $i,SV3: $i] :
( ( ~ ( le @ ( max @ SV3 @ SV7 ) @ SV10 )
| ( le @ SV7 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(32,plain,
! [SV11: $i,SV8: $i,SV5: $i] :
( ( ! [SY32: $i,SY33: $i,SY34: $i,SY35: $i] :
( ~ ( eq @ ( f @ SV5 ) @ a0 )
| ~ ( eq @ ( f @ SV8 ) @ a0 )
| ~ ( eq @ ( f @ SV11 ) @ a0 )
| ~ ( eq @ ( f @ SY32 ) @ a0 )
| ~ ( eq @ ( f @ SY33 ) @ a0 )
| ~ ( eq @ ( f @ SY34 ) @ a0 )
| ~ ( eq @ ( f @ SY35 ) @ a0 )
| ~ ( le @ ( s @ SV5 ) @ SV8 )
| ~ ( le @ ( s @ SV8 ) @ SV11 )
| ~ ( le @ ( s @ SV11 ) @ SY32 )
| ~ ( le @ ( s @ SY32 ) @ SY33 )
| ~ ( le @ ( s @ SY33 ) @ SY34 )
| ~ ( le @ ( s @ SY34 ) @ SY35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(33,plain,
! [SV9: $i,SV6: $i,SV2: $i] :
( ( ( ~ ( le @ ( max @ SV2 @ SV6 ) @ SV9 ) )
= $true )
| ( ( le @ SV2 @ SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV10: $i,SV7: $i,SV3: $i] :
( ( ( ~ ( le @ ( max @ SV3 @ SV7 ) @ SV10 ) )
= $true )
| ( ( le @ SV7 @ SV10 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV12: $i,SV11: $i,SV8: $i,SV5: $i] :
( ( ! [SY36: $i,SY37: $i,SY38: $i] :
( ~ ( eq @ ( f @ SV5 ) @ a0 )
| ~ ( eq @ ( f @ SV8 ) @ a0 )
| ~ ( eq @ ( f @ SV11 ) @ a0 )
| ~ ( eq @ ( f @ SV12 ) @ a0 )
| ~ ( eq @ ( f @ SY36 ) @ a0 )
| ~ ( eq @ ( f @ SY37 ) @ a0 )
| ~ ( eq @ ( f @ SY38 ) @ a0 )
| ~ ( le @ ( s @ SV5 ) @ SV8 )
| ~ ( le @ ( s @ SV8 ) @ SV11 )
| ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SY36 )
| ~ ( le @ ( s @ SY36 ) @ SY37 )
| ~ ( le @ ( s @ SY37 ) @ SY38 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV9: $i,SV6: $i,SV2: $i] :
( ( ( le @ ( max @ SV2 @ SV6 ) @ SV9 )
= $false )
| ( ( le @ SV2 @ SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(37,plain,
! [SV10: $i,SV7: $i,SV3: $i] :
( ( ( le @ ( max @ SV3 @ SV7 ) @ SV10 )
= $false )
| ( ( le @ SV7 @ SV10 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(38,plain,
! [SV13: $i,SV12: $i,SV11: $i,SV8: $i,SV5: $i] :
( ( ! [SY39: $i,SY40: $i] :
( ~ ( eq @ ( f @ SV5 ) @ a0 )
| ~ ( eq @ ( f @ SV8 ) @ a0 )
| ~ ( eq @ ( f @ SV11 ) @ a0 )
| ~ ( eq @ ( f @ SV12 ) @ a0 )
| ~ ( eq @ ( f @ SV13 ) @ a0 )
| ~ ( eq @ ( f @ SY39 ) @ a0 )
| ~ ( eq @ ( f @ SY40 ) @ a0 )
| ~ ( le @ ( s @ SV5 ) @ SV8 )
| ~ ( le @ ( s @ SV8 ) @ SV11 )
| ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SY39 )
| ~ ( le @ ( s @ SY39 ) @ SY40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(39,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV8: $i,SV5: $i] :
( ( ! [SY41: $i] :
( ~ ( eq @ ( f @ SV5 ) @ a0 )
| ~ ( eq @ ( f @ SV8 ) @ a0 )
| ~ ( eq @ ( f @ SV11 ) @ a0 )
| ~ ( eq @ ( f @ SV12 ) @ a0 )
| ~ ( eq @ ( f @ SV13 ) @ a0 )
| ~ ( eq @ ( f @ SV14 ) @ a0 )
| ~ ( eq @ ( f @ SY41 ) @ a0 )
| ~ ( le @ ( s @ SV5 ) @ SV8 )
| ~ ( le @ ( s @ SV8 ) @ SV11 )
| ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SY41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(40,plain,
! [SV15: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV8: $i,SV5: $i] :
( ( ~ ( eq @ ( f @ SV5 ) @ a0 )
| ~ ( eq @ ( f @ SV8 ) @ a0 )
| ~ ( eq @ ( f @ SV11 ) @ a0 )
| ~ ( eq @ ( f @ SV12 ) @ a0 )
| ~ ( eq @ ( f @ SV13 ) @ a0 )
| ~ ( eq @ ( f @ SV14 ) @ a0 )
| ~ ( eq @ ( f @ SV15 ) @ a0 )
| ~ ( le @ ( s @ SV5 ) @ SV8 )
| ~ ( le @ ( s @ SV8 ) @ SV11 )
| ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(41,plain,
! [SV15: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( eq @ ( f @ SV5 ) @ a0 ) )
= $true )
| ( ( ~ ( eq @ ( f @ SV8 ) @ a0 )
| ~ ( eq @ ( f @ SV11 ) @ a0 )
| ~ ( eq @ ( f @ SV12 ) @ a0 )
| ~ ( eq @ ( f @ SV13 ) @ a0 )
| ~ ( eq @ ( f @ SV14 ) @ a0 )
| ~ ( eq @ ( f @ SV15 ) @ a0 )
| ~ ( le @ ( s @ SV5 ) @ SV8 )
| ~ ( le @ ( s @ SV8 ) @ SV11 )
| ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(42,plain,
! [SV15: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV8: $i,SV5: $i] :
( ( ( eq @ ( f @ SV5 ) @ a0 )
= $false )
| ( ( ~ ( eq @ ( f @ SV8 ) @ a0 )
| ~ ( eq @ ( f @ SV11 ) @ a0 )
| ~ ( eq @ ( f @ SV12 ) @ a0 )
| ~ ( eq @ ( f @ SV13 ) @ a0 )
| ~ ( eq @ ( f @ SV14 ) @ a0 )
| ~ ( eq @ ( f @ SV15 ) @ a0 )
| ~ ( le @ ( s @ SV5 ) @ SV8 )
| ~ ( le @ ( s @ SV8 ) @ SV11 )
| ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(43,plain,
! [SV5: $i,SV15: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV8: $i] :
( ( ( ~ ( eq @ ( f @ SV8 ) @ a0 ) )
= $true )
| ( ( ~ ( eq @ ( f @ SV11 ) @ a0 )
| ~ ( eq @ ( f @ SV12 ) @ a0 )
| ~ ( eq @ ( f @ SV13 ) @ a0 )
| ~ ( eq @ ( f @ SV14 ) @ a0 )
| ~ ( eq @ ( f @ SV15 ) @ a0 )
| ~ ( le @ ( s @ SV5 ) @ SV8 )
| ~ ( le @ ( s @ SV8 ) @ SV11 )
| ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(44,plain,
! [SV5: $i,SV15: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV8: $i] :
( ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( ~ ( eq @ ( f @ SV11 ) @ a0 )
| ~ ( eq @ ( f @ SV12 ) @ a0 )
| ~ ( eq @ ( f @ SV13 ) @ a0 )
| ~ ( eq @ ( f @ SV14 ) @ a0 )
| ~ ( eq @ ( f @ SV15 ) @ a0 )
| ~ ( le @ ( s @ SV5 ) @ SV8 )
| ~ ( le @ ( s @ SV8 ) @ SV11 )
| ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[43]) ).
thf(45,plain,
! [SV8: $i,SV5: $i,SV15: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i] :
( ( ( ~ ( eq @ ( f @ SV11 ) @ a0 ) )
= $true )
| ( ( ~ ( eq @ ( f @ SV12 ) @ a0 )
| ~ ( eq @ ( f @ SV13 ) @ a0 )
| ~ ( eq @ ( f @ SV14 ) @ a0 )
| ~ ( eq @ ( f @ SV15 ) @ a0 )
| ~ ( le @ ( s @ SV5 ) @ SV8 )
| ~ ( le @ ( s @ SV8 ) @ SV11 )
| ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(46,plain,
! [SV8: $i,SV5: $i,SV15: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i] :
( ( ( eq @ ( f @ SV11 ) @ a0 )
= $false )
| ( ( ~ ( eq @ ( f @ SV12 ) @ a0 )
| ~ ( eq @ ( f @ SV13 ) @ a0 )
| ~ ( eq @ ( f @ SV14 ) @ a0 )
| ~ ( eq @ ( f @ SV15 ) @ a0 )
| ~ ( le @ ( s @ SV5 ) @ SV8 )
| ~ ( le @ ( s @ SV8 ) @ SV11 )
| ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(47,plain,
! [SV11: $i,SV8: $i,SV5: $i,SV15: $i,SV14: $i,SV13: $i,SV12: $i] :
( ( ( ~ ( eq @ ( f @ SV12 ) @ a0 ) )
= $true )
| ( ( ~ ( eq @ ( f @ SV13 ) @ a0 )
| ~ ( eq @ ( f @ SV14 ) @ a0 )
| ~ ( eq @ ( f @ SV15 ) @ a0 )
| ~ ( le @ ( s @ SV5 ) @ SV8 )
| ~ ( le @ ( s @ SV8 ) @ SV11 )
| ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( eq @ ( f @ SV11 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[46]) ).
thf(48,plain,
! [SV11: $i,SV8: $i,SV5: $i,SV15: $i,SV14: $i,SV13: $i,SV12: $i] :
( ( ( eq @ ( f @ SV12 ) @ a0 )
= $false )
| ( ( ~ ( eq @ ( f @ SV13 ) @ a0 )
| ~ ( eq @ ( f @ SV14 ) @ a0 )
| ~ ( eq @ ( f @ SV15 ) @ a0 )
| ~ ( le @ ( s @ SV5 ) @ SV8 )
| ~ ( le @ ( s @ SV8 ) @ SV11 )
| ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( eq @ ( f @ SV11 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(49,plain,
! [SV12: $i,SV11: $i,SV8: $i,SV5: $i,SV15: $i,SV14: $i,SV13: $i] :
( ( ( ~ ( eq @ ( f @ SV13 ) @ a0 ) )
= $true )
| ( ( ~ ( eq @ ( f @ SV14 ) @ a0 )
| ~ ( eq @ ( f @ SV15 ) @ a0 )
| ~ ( le @ ( s @ SV5 ) @ SV8 )
| ~ ( le @ ( s @ SV8 ) @ SV11 )
| ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( eq @ ( f @ SV12 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV11 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(50,plain,
! [SV12: $i,SV11: $i,SV8: $i,SV5: $i,SV15: $i,SV14: $i,SV13: $i] :
( ( ( eq @ ( f @ SV13 ) @ a0 )
= $false )
| ( ( ~ ( eq @ ( f @ SV14 ) @ a0 )
| ~ ( eq @ ( f @ SV15 ) @ a0 )
| ~ ( le @ ( s @ SV5 ) @ SV8 )
| ~ ( le @ ( s @ SV8 ) @ SV11 )
| ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( eq @ ( f @ SV12 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV11 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(51,plain,
! [SV13: $i,SV12: $i,SV11: $i,SV8: $i,SV5: $i,SV15: $i,SV14: $i] :
( ( ( ~ ( eq @ ( f @ SV14 ) @ a0 ) )
= $true )
| ( ( ~ ( eq @ ( f @ SV15 ) @ a0 )
| ~ ( le @ ( s @ SV5 ) @ SV8 )
| ~ ( le @ ( s @ SV8 ) @ SV11 )
| ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( eq @ ( f @ SV13 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV12 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV11 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(52,plain,
! [SV13: $i,SV12: $i,SV11: $i,SV8: $i,SV5: $i,SV15: $i,SV14: $i] :
( ( ( eq @ ( f @ SV14 ) @ a0 )
= $false )
| ( ( ~ ( eq @ ( f @ SV15 ) @ a0 )
| ~ ( le @ ( s @ SV5 ) @ SV8 )
| ~ ( le @ ( s @ SV8 ) @ SV11 )
| ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( eq @ ( f @ SV13 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV12 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV11 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[51]) ).
thf(53,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV8: $i,SV5: $i,SV15: $i] :
( ( ( ~ ( eq @ ( f @ SV15 ) @ a0 ) )
= $true )
| ( ( ~ ( le @ ( s @ SV5 ) @ SV8 )
| ~ ( le @ ( s @ SV8 ) @ SV11 )
| ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( eq @ ( f @ SV14 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV13 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV12 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV11 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(54,plain,
! [SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV8: $i,SV5: $i,SV15: $i] :
( ( ( eq @ ( f @ SV15 ) @ a0 )
= $false )
| ( ( ~ ( le @ ( s @ SV5 ) @ SV8 )
| ~ ( le @ ( s @ SV8 ) @ SV11 )
| ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( eq @ ( f @ SV14 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV13 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV12 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV11 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(55,plain,
! [SV15: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV8: $i,SV5: $i] :
( ( ( ~ ( le @ ( s @ SV5 ) @ SV8 ) )
= $true )
| ( ( ~ ( le @ ( s @ SV8 ) @ SV11 )
| ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( eq @ ( f @ SV15 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV14 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV13 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV12 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV11 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[54]) ).
thf(56,plain,
! [SV15: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV8: $i,SV5: $i] :
( ( ( le @ ( s @ SV5 ) @ SV8 )
= $false )
| ( ( ~ ( le @ ( s @ SV8 ) @ SV11 )
| ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( eq @ ( f @ SV15 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV14 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV13 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV12 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV11 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(57,plain,
! [SV5: $i,SV15: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV8: $i] :
( ( ( ~ ( le @ ( s @ SV8 ) @ SV11 ) )
= $true )
| ( ( ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( le @ ( s @ SV5 ) @ SV8 )
= $false )
| ( ( eq @ ( f @ SV15 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV14 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV13 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV12 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV11 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(58,plain,
! [SV5: $i,SV15: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i,SV8: $i] :
( ( ( le @ ( s @ SV8 ) @ SV11 )
= $false )
| ( ( ~ ( le @ ( s @ SV11 ) @ SV12 )
| ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( le @ ( s @ SV5 ) @ SV8 )
= $false )
| ( ( eq @ ( f @ SV15 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV14 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV13 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV12 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV11 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(59,plain,
! [SV5: $i,SV8: $i,SV15: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i] :
( ( ( ~ ( le @ ( s @ SV11 ) @ SV12 ) )
= $true )
| ( ( ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( le @ ( s @ SV8 ) @ SV11 )
= $false )
| ( ( le @ ( s @ SV5 ) @ SV8 )
= $false )
| ( ( eq @ ( f @ SV15 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV14 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV13 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV12 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV11 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(60,plain,
! [SV5: $i,SV8: $i,SV15: $i,SV14: $i,SV13: $i,SV12: $i,SV11: $i] :
( ( ( le @ ( s @ SV11 ) @ SV12 )
= $false )
| ( ( ~ ( le @ ( s @ SV12 ) @ SV13 )
| ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( le @ ( s @ SV8 ) @ SV11 )
= $false )
| ( ( le @ ( s @ SV5 ) @ SV8 )
= $false )
| ( ( eq @ ( f @ SV15 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV14 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV13 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV12 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV11 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(61,plain,
! [SV5: $i,SV8: $i,SV11: $i,SV15: $i,SV14: $i,SV13: $i,SV12: $i] :
( ( ( ~ ( le @ ( s @ SV12 ) @ SV13 ) )
= $true )
| ( ( ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( le @ ( s @ SV11 ) @ SV12 )
= $false )
| ( ( le @ ( s @ SV8 ) @ SV11 )
= $false )
| ( ( le @ ( s @ SV5 ) @ SV8 )
= $false )
| ( ( eq @ ( f @ SV15 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV14 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV13 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV12 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV11 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[60]) ).
thf(62,plain,
! [SV5: $i,SV8: $i,SV11: $i,SV15: $i,SV14: $i,SV13: $i,SV12: $i] :
( ( ( le @ ( s @ SV12 ) @ SV13 )
= $false )
| ( ( ~ ( le @ ( s @ SV13 ) @ SV14 )
| ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( le @ ( s @ SV11 ) @ SV12 )
= $false )
| ( ( le @ ( s @ SV8 ) @ SV11 )
= $false )
| ( ( le @ ( s @ SV5 ) @ SV8 )
= $false )
| ( ( eq @ ( f @ SV15 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV14 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV13 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV12 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV11 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(63,plain,
! [SV5: $i,SV8: $i,SV11: $i,SV12: $i,SV15: $i,SV14: $i,SV13: $i] :
( ( ( ~ ( le @ ( s @ SV13 ) @ SV14 ) )
= $true )
| ( ( ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( le @ ( s @ SV12 ) @ SV13 )
= $false )
| ( ( le @ ( s @ SV11 ) @ SV12 )
= $false )
| ( ( le @ ( s @ SV8 ) @ SV11 )
= $false )
| ( ( le @ ( s @ SV5 ) @ SV8 )
= $false )
| ( ( eq @ ( f @ SV15 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV14 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV13 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV12 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV11 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(64,plain,
! [SV5: $i,SV8: $i,SV11: $i,SV12: $i,SV15: $i,SV14: $i,SV13: $i] :
( ( ( le @ ( s @ SV13 ) @ SV14 )
= $false )
| ( ( ~ ( le @ ( s @ SV14 ) @ SV15 ) )
= $true )
| ( ( le @ ( s @ SV12 ) @ SV13 )
= $false )
| ( ( le @ ( s @ SV11 ) @ SV12 )
= $false )
| ( ( le @ ( s @ SV8 ) @ SV11 )
= $false )
| ( ( le @ ( s @ SV5 ) @ SV8 )
= $false )
| ( ( eq @ ( f @ SV15 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV14 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV13 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV12 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV11 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(65,plain,
! [SV5: $i,SV8: $i,SV11: $i,SV12: $i,SV13: $i,SV15: $i,SV14: $i] :
( ( ( le @ ( s @ SV14 ) @ SV15 )
= $false )
| ( ( le @ ( s @ SV13 ) @ SV14 )
= $false )
| ( ( le @ ( s @ SV12 ) @ SV13 )
= $false )
| ( ( le @ ( s @ SV11 ) @ SV12 )
= $false )
| ( ( le @ ( s @ SV8 ) @ SV11 )
= $false )
| ( ( le @ ( s @ SV5 ) @ SV8 )
= $false )
| ( ( eq @ ( f @ SV15 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV14 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV13 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV12 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV11 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV8 ) @ a0 )
= $false )
| ( ( eq @ ( f @ SV5 ) @ a0 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(66,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[21,65,37,36,26,24]) ).
thf(67,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYO612-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.02 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Oct 6 17:43:46 UTC 2026
% 0.00/0.10 % CPUTime :
% 0.00/0.10 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.22
% 0.09/0.22 No.of.Axioms: 5
% 0.09/0.22
% 0.09/0.22 Length.of.Defs: 0
% 0.09/0.22
% 0.09/0.22 Contains.Choice.Funs: false
% 0.09/0.22 ..
% 0.09/0.22
% 0.09/0.22 ********************************
% 0.09/0.22 * All subproblems solved! *
% 0.09/0.22 ********************************
% 0.09/0.22 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:5,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:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:66,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.09/0.22
% 0.09/0.22 %**** Beginning of derivation protocol ****
% 0.09/0.22 % SZS output start CNFRefutation
% See solution above
% 0.09/0.22
% 0.09/0.22 %**** End of derivation protocol ****
% 0.09/0.22 %**** no. of clauses in derivation: 67 ****
% 0.09/0.22 %**** clause counter: 66 ****
% 0.09/0.22
% 0.09/0.22 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:5,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:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:66,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------