TSTP Solution File: SYO356^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO356^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n006.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 : Thu Jul 21 17:33:32 EDT 2022
% Result : Theorem 0.15s 0.47s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 6
% Syntax : Number of formulae : 84 ( 21 unt; 5 typ; 0 def)
% Number of atoms : 373 ( 185 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 1653 ( 648 ~; 106 |; 2 &; 885 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 133 ( 133 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 391 ( 320 ^ 71 !; 0 ?; 391 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_Xq,type,
sK1_Xq: a > $o ).
thf(tp_sK2_Z,type,
sK2_Z: ( a > a > $o ) > a ).
thf(tp_u,type,
u: a ).
thf(tp_v,type,
v: a ).
thf(1,conjecture,
( ! [Q: a > a > $o] :
( ! [Z: a] : ( Q @ Z @ Z )
=> ( Q @ u @ v ) )
=> ! [Xq: a > $o] :
( ( Xq @ u )
=> ( Xq @ v ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cE1LEIBEQ2_pme) ).
thf(2,negated_conjecture,
( ( ! [Q: a > a > $o] :
( ! [Z: a] : ( Q @ Z @ Z )
=> ( Q @ u @ v ) )
=> ! [Xq: a > $o] :
( ( Xq @ u )
=> ( Xq @ v ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Q: a > a > $o] :
( ! [Z: a] : ( Q @ Z @ Z )
=> ( Q @ u @ v ) )
=> ! [Xq: a > $o] :
( ( Xq @ u )
=> ( Xq @ v ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Q: a > a > $o] :
( ! [Z: a] : ( Q @ Z @ Z )
=> ( Q @ u @ v ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xq: a > $o] :
( ( Xq @ u )
=> ( Xq @ v ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ! [Xq: a > $o] :
( ( Xq @ u )
=> ( Xq @ v ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ( sK1_Xq @ u )
& ~ ( sK1_Xq @ v ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [Q: a > a > $o] :
( ~ ( Q @ ( sK2_Z @ Q ) @ ( sK2_Z @ Q ) )
| ( Q @ u @ v ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(9,plain,
( ( ! [Q: a > a > $o] :
( ~ ( Q @ ( sK2_Z @ Q ) @ ( sK2_Z @ Q ) )
| ( Q @ u @ v ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(10,plain,
( ( ( sK1_Xq @ u )
& ~ ( sK1_Xq @ v ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ( ~ ( sK1_Xq @ u )
| ~ ~ ( sK1_Xq @ v ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(12,plain,
! [SV1: a > a > $o] :
( ( ~ ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) )
| ( SV1 @ u @ v ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(13,plain,
( ( ~ ( sK1_Xq @ u )
| ~ ~ ( sK1_Xq @ v ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(14,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) ) )
= $true )
| ( ( SV1 @ u @ v )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( sK1_Xq @ u ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ~ ( sK1_Xq @ v ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(17,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) )
= $false )
| ( ( SV1 @ u @ v )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(18,plain,
( ( sK1_Xq @ u )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(19,plain,
( ( ~ ( sK1_Xq @ v ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
( ( sK1_Xq @ v )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(21,plain,
( ( ( ( sK2_Z
@ ^ [SX0: a,SX1: a] : ( SX0 = SX1 ) )
= ( sK2_Z
@ ^ [SX0: a,SX1: a] : ( SX0 = SX1 ) ) )
= $false )
| ( ( u = v )
= $true ) ),
inference(replace_andrewsEQ,[status(thm)],[17:[bind(SV1,$thf( ^ [SV3: a] : ^ [SV2: a] : ( SV3 = SV2 ) ))]]) ).
thf(22,plain,
( ( u = v )
= $true ),
inference(sim,[status(thm)],[21]) ).
thf(25,plain,
! [SV6: a > a > $o] :
( ( ( ~ ( SV6
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV6 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV6 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV6 @ u @ v ) )
= $true ) ),
inference(prim_subst,[status(thm)],[17:[bind(SV1,$thf( ^ [SV4: a] : ^ [SV5: a] : ~ ( SV6 @ SV4 @ SV5 ) ))]]) ).
thf(27,plain,
( ( ( ( sK2_Z
@ ^ [SX0: a,SX1: a] : ( SX0 = SX1 ) )
= ( sK2_Z
@ ^ [SX0: a,SX1: a] : ( SX0 = SX1 ) ) )
= $false )
| ( ( u = v )
= $true ) ),
inference(prim_subst,[status(thm)],[17:[bind(SV1,$thf( ^ [SV12: a] : ^ [SV11: a] : ( SV12 = SV11 ) ))]]) ).
thf(28,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) )
= $false )
| ( ( ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) )
= ( ~ ( SV1 @ u @ v ) ) )
= $false ) ),
inference(fac_restr,[status(thm)],[17]) ).
thf(29,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) )
| ~ ( SV1 @ u @ v ) )
| ~ ( ~ ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) )
| ~ ~ ( SV1 @ u @ v ) ) )
= $false )
| ( ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[28]) ).
thf(30,plain,
! [SV1: a > a > $o] :
( ( ( ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) )
= ( ~ ( SV1 @ u @ v ) ) )
= $false )
| ( ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[28]) ).
thf(32,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) )
| ~ ~ ( SV1 @ u @ v ) ) )
= $false )
| ( ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[29]) ).
thf(34,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) )
| ~ ~ ( SV1 @ u @ v ) )
= $true )
| ( ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[32]) ).
thf(36,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) ) )
= $true )
| ( ( ~ ~ ( SV1 @ u @ v ) )
= $true )
| ( ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(38,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) )
= $false )
| ( ( ~ ~ ( SV1 @ u @ v ) )
= $true )
| ( ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(39,plain,
! [SV1: a > a > $o] :
( ( ( ~ ( SV1 @ u @ v ) )
= $false )
| ( ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[38]) ).
thf(40,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ u @ v )
= $true )
| ( ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) )
= $false )
| ( ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(42,plain,
! [SV37: a > a > $o] :
( ( ( ~ ~ ~ ~ ~ ( SV37
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV37
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV37 @ u @ v ) )
= $false ) ),
inference(extuni,[status(esa)],[30:[bind(SV1,$thf( ^ [SX0: a] : ^ [SX1: a] : ~ ( ~ ( ~ ( ~ ( ~ ( SV37 @ SX0 @ SX1 ) ) ) ) ) ))]]) ).
thf(43,plain,
! [SV32: a > a > $o] :
( ( ( ~ ~ ~ ~ ( SV32
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV32
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV32 @ u @ v ) )
= $true ) ),
inference(extuni,[status(esa)],[30:[bind(SV1,$thf( ^ [SX0: a] : ^ [SX1: a] : ~ ( ~ ( ~ ( ~ ( SV32 @ SX0 @ SX1 ) ) ) ) ))]]) ).
thf(46,plain,
! [SV27: a > a > $o] :
( ( ( ~ ~ ~ ( SV27
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV27
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV27 @ u @ v ) )
= $false ) ),
inference(extuni,[status(esa)],[30:[bind(SV1,$thf( ^ [SX0: a] : ^ [SX1: a] : ~ ( ~ ( ~ ( SV27 @ SX0 @ SX1 ) ) ) ))]]) ).
thf(47,plain,
! [SV22: a > a > $o] :
( ( ( ~ ~ ( SV22
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV22
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV22 @ u @ v ) )
= $true ) ),
inference(extuni,[status(esa)],[30:[bind(SV1,$thf( ^ [SX0: a] : ^ [SX1: a] : ~ ( ~ ( SV22 @ SX0 @ SX1 ) ) ))]]) ).
thf(50,plain,
! [SV17: a > a > $o] :
( ( ( ~ ( SV17
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV17
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV17 @ u @ v ) )
= $false ) ),
inference(extuni,[status(esa)],[30:[bind(SV1,$thf( ^ [SX0: a] : ^ [SX1: a] : ~ ( SV17 @ SX0 @ SX1 ) ))]]) ).
thf(51,plain,
! [SV17: a > a > $o] :
( ( ( SV17
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV17
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV17 @ u @ v ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(54,plain,
! [SV22: a > a > $o] :
( ( ( ~ ( SV22
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( SV22
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV22 @ u @ v ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(55,plain,
! [SV27: a > a > $o] :
( ( ( ~ ~ ( SV27
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( SV27
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV27 @ u @ v ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(58,plain,
! [SV32: a > a > $o] :
( ( ( ~ ~ ~ ( SV32
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( SV32
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV32 @ u @ v ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[43]) ).
thf(59,plain,
! [SV37: a > a > $o] :
( ( ( ~ ~ ~ ~ ( SV37
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( SV37
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV37 @ u @ v ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(61,plain,
! [SV17: a > a > $o] :
( ( ( SV17
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV17
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ~ ( SV17 @ u @ v ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[51]) ).
thf(64,plain,
! [SV22: a > a > $o] :
( ( ( SV22
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( SV22
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV22 @ u @ v ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(65,plain,
! [SV27: a > a > $o] :
( ( ( ~ ( SV27
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV27
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV27 @ u @ v ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(68,plain,
! [SV32: a > a > $o] :
( ( ( ~ ~ ( SV32
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV32
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV32 @ u @ v ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(69,plain,
! [SV37: a > a > $o] :
( ( ( ~ ~ ~ ( SV37
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV37
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV37 @ u @ v ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(71,plain,
! [SV17: a > a > $o] :
( ( ( ~ ( SV17 @ u @ v ) )
= $true )
| ( ( SV17
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV17
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[61]) ).
thf(74,plain,
! [SV22: a > a > $o] :
( ( ( SV22
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV22
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ~ ( SV22 @ u @ v ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(75,plain,
! [SV27: a > a > $o] :
( ( ( SV27
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV27
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV27 @ u @ v ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[65]) ).
thf(78,plain,
! [SV32: a > a > $o] :
( ( ( ~ ( SV32
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( SV32
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV32 @ u @ v ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[68]) ).
thf(79,plain,
! [SV37: a > a > $o] :
( ( ( ~ ~ ( SV37
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ( SV37
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV37 @ u @ v ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[69]) ).
thf(81,plain,
! [SV17: a > a > $o] :
( ( ( SV17 @ u @ v )
= $false )
| ( ( SV17
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV17
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[71]) ).
thf(84,plain,
! [SV22: a > a > $o] :
( ( ( ~ ( SV22 @ u @ v ) )
= $false )
| ( ( SV22
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV22
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(85,plain,
! [SV27: a > a > $o] :
( ( ( SV27
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV27
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ~ ( SV27 @ u @ v ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(88,plain,
! [SV32: a > a > $o] :
( ( ( SV32
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ( SV32
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) ) )
= $true )
| ( ( ~ ~ ( SV32 @ u @ v ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(89,plain,
! [SV37: a > a > $o] :
( ( ( ~ ( SV37
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ( SV37
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV37 @ u @ v ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[79]) ).
thf(92,plain,
! [SV22: a > a > $o] :
( ( ( SV22 @ u @ v )
= $true )
| ( ( SV22
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV22
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[84]) ).
thf(93,plain,
! [SV27: a > a > $o] :
( ( ( ~ ( SV27 @ u @ v ) )
= $true )
| ( ( SV27
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV27
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[85]) ).
thf(96,plain,
! [SV32: a > a > $o] :
( ( ( SV32
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV32
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) )
= $false )
| ( ( ~ ~ ( SV32 @ u @ v ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[88]) ).
thf(97,plain,
! [SV37: a > a > $o] :
( ( ( SV37
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV37
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) ) )
= $false )
| ( ( ~ ~ ( SV37 @ u @ v ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[89]) ).
thf(99,plain,
! [SV27: a > a > $o] :
( ( ( SV27 @ u @ v )
= $false )
| ( ( SV27
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV27
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[93]) ).
thf(102,plain,
! [SV32: a > a > $o] :
( ( ( ~ ( SV32 @ u @ v ) )
= $false )
| ( ( SV32
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV32
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(103,plain,
! [SV37: a > a > $o] :
( ( ( SV37
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV37
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ~ ( SV37 @ u @ v ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[97]) ).
thf(106,plain,
! [SV32: a > a > $o] :
( ( ( SV32 @ u @ v )
= $true )
| ( ( SV32
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) )
= $false )
| ( ( SV32
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[102]) ).
thf(107,plain,
! [SV37: a > a > $o] :
( ( ( ~ ( SV37 @ u @ v ) )
= $true )
| ( ( SV37
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV37
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[103]) ).
thf(109,plain,
! [SV37: a > a > $o] :
( ( ( SV37 @ u @ v )
= $false )
| ( ( SV37
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) )
= $true )
| ( ( SV37
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(111,plain,
! [SV6: a > a > $o] :
( ( ( SV6
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV6 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV6 @ SX0 @ SX1 ) ) )
= $true )
| ( ( ~ ( SV6 @ u @ v ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(113,plain,
! [SV6: a > a > $o] :
( ( ( SV6 @ u @ v )
= $false )
| ( ( SV6
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV6 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV6 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(115,plain,
( ( u = v )
= $true ),
inference(extuni,[status(esa)],[27]) ).
thf(116,plain,
! [SV1: a > a > $o] :
( ( ( SV1 @ u @ v )
= $true )
| ( ( SV1 @ ( sK2_Z @ SV1 ) @ ( sK2_Z @ SV1 ) )
= $false ) ),
inference(sim,[status(thm)],[40]) ).
thf(117,plain,
! [SV17: a > a > $o] :
( ( ( SV17 @ u @ v )
= $false )
| ( ( SV17
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ( SV17 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[81]) ).
thf(118,plain,
! [SV22: a > a > $o] :
( ( ( SV22 @ u @ v )
= $true )
| ( ( SV22
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ( SV22 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(sim,[status(thm)],[92]) ).
thf(119,plain,
! [SV27: a > a > $o] :
( ( ( SV27 @ u @ v )
= $false )
| ( ( SV27
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ( SV27 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[99]) ).
thf(120,plain,
! [SV32: a > a > $o] :
( ( ( SV32 @ u @ v )
= $true )
| ( ( SV32
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ( SV32 @ SX0 @ SX1 ) ) )
= $false ) ),
inference(sim,[status(thm)],[106]) ).
thf(121,plain,
! [SV37: a > a > $o] :
( ( ( SV37 @ u @ v )
= $false )
| ( ( SV37
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) )
@ ( sK2_Z
@ ^ [SX0: a,SX1: a] :
~ ~ ~ ~ ~ ( SV37 @ SX0 @ SX1 ) ) )
= $true ) ),
inference(sim,[status(thm)],[109]) ).
thf(122,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[17,121,120,119,118,117,116,115,113,22,20,18]) ).
thf(123,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SYO356^5 : TPTP v8.1.0. Released v4.0.0.
% 0.02/0.11 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.10/0.31 % Computer : n006.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 600
% 0.10/0.31 % DateTime : Fri Jul 8 19:26:51 EDT 2022
% 0.10/0.31 % CPUTime :
% 0.10/0.31
% 0.10/0.31 No.of.Axioms: 0
% 0.10/0.31
% 0.10/0.31 Length.of.Defs: 0
% 0.10/0.31
% 0.10/0.31 Contains.Choice.Funs: false
% 0.15/0.31 (rf:0,axioms:0,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:2,loop_count:0,foatp_calls:0,translation:fof_full).
% 0.15/0.47
% 0.15/0.47 ********************************
% 0.15/0.47 * All subproblems solved! *
% 0.15/0.47 ********************************
% 0.15/0.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:122,loop_count:0,foatp_calls:2,translation:fof_full)
% 0.15/0.48
% 0.15/0.48 %**** Beginning of derivation protocol ****
% 0.15/0.48 % SZS output start CNFRefutation
% See solution above
% 0.15/0.48
% 0.15/0.48 %**** End of derivation protocol ****
% 0.15/0.48 %**** no. of clauses in derivation: 79 ****
% 0.15/0.48 %**** clause counter: 122 ****
% 0.15/0.48
% 0.15/0.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:122,loop_count:0,foatp_calls:2,translation:fof_full)
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