%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU883^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/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 10:49:10 AM UTC 2026
% Result : Theorem 0.09s 0.15s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 1
% Syntax : Number of formulae : 61 ( 19 unt; 0 typ; 0 def)
% Number of atoms : 456 ( 233 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 684 ( 331 ~; 129 |; 12 &; 212 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 6 con; 0-2 aty)
% Number of variables : 102 ( 18 ^; 72 !; 12 ?; 102 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_f,type,
f: b > a ).
thf(tp_g,type,
g: b > $o ).
thf(tp_sK1_SV1,type,
sK1_SV1: a ).
thf(tp_sK2_SY6,type,
sK2_SY6: b ).
thf(tp_sK3_SY7,type,
sK3_SY7: b ).
thf(tp_sK4_SY7,type,
sK4_SY7: b ).
thf(1,conjecture,
( ( ^ [Xz: a] :
? [Xx: b] :
( ( g @ Xx )
& ( Xz
= ( f @ Xx ) ) ) )
= ( ^ [Xz: a] :
? [Xt: b] :
( ( g @ Xt )
& ( Xz
= ( f @ Xt ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cX5212_pme) ).
thf(2,negated_conjecture,
( ( ( ^ [Xz: a] :
? [Xx: b] :
( ( g @ Xx )
& ( Xz
= ( f @ Xx ) ) ) )
= ( ^ [Xz: a] :
? [Xt: b] :
( ( g @ Xt )
& ( Xz
= ( f @ Xt ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ^ [Xz: a] :
? [Xx: b] :
( ( g @ Xx )
& ( Xz
= ( f @ Xx ) ) ) )
= ( ^ [Xz: a] :
? [Xt: b] :
( ( g @ Xt )
& ( Xz
= ( f @ Xt ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( ^ [Xz: a] :
? [Xx: b] :
( ( g @ Xx )
& ( Xz
= ( f @ Xx ) ) ) )
!= ( ^ [Xz: a] :
? [Xt: b] :
( ( g @ Xt )
& ( Xz
= ( f @ Xt ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ( ^ [Xz: a] :
? [Xx: b] :
( ( Xz
= ( f @ Xx ) )
& ( g @ Xx ) ) )
!= ( ^ [Xz: a] :
? [Xt: b] :
( ( Xz
= ( f @ Xt ) )
& ( g @ Xt ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ( ^ [Xz: a] :
? [Xx: b] :
( ( Xz
= ( f @ Xx ) )
& ( g @ Xx ) ) )
!= ( ^ [Xz: a] :
? [Xt: b] :
( ( Xz
= ( f @ Xt ) )
& ( g @ Xt ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
( ( ( ^ [SX0: a] :
~ ! [SX1: b] :
~ ~ ( ( SX0
!= ( f @ SX1 ) )
| ~ ( g @ SX1 ) ) )
!= ( ^ [SX0: a] :
~ ! [SX1: b] :
~ ~ ( ( SX0
!= ( f @ SX1 ) )
| ~ ( g @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( ( ^ [SX0: a] :
~ ! [SX1: b] :
~ ~ ( ( SX0
!= ( f @ SX1 ) )
| ~ ( g @ SX1 ) ) )
= ( ^ [SX0: a] :
~ ! [SX1: b] :
~ ~ ( ( SX0
!= ( f @ SX1 ) )
| ~ ( g @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SV1: a] :
( ( ~ ! [SY4: b] :
~ ~ ( ( SV1
!= ( f @ SY4 ) )
| ~ ( g @ SY4 ) ) )
= ( ~ ! [SY5: b] :
~ ~ ( ( SV1
!= ( f @ SY5 ) )
| ~ ( g @ SY5 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[8]) ).
thf(10,plain,
( ( ( ^ [SX0: a] :
~ ! [SX1: b] :
~ ~ ( ( SX0
!= ( f @ SX1 ) )
| ~ ( g @ SX1 ) ) )
= ( ^ [SX0: a] :
~ ! [SX1: b] :
~ ~ ( ( SX0
!= ( f @ SX1 ) )
| ~ ( g @ SX1 ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[8]) ).
thf(11,plain,
( ( ( ~ ! [SY6: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY6 ) )
| ~ ( g @ SY6 ) ) )
= ( ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[9]) ).
thf(12,plain,
( ( ~ ( ~ ! [SY6: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY6 ) )
| ~ ( g @ SY6 ) )
| ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
| ~ ( ~ ~ ! [SY6: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY6 ) )
| ~ ( g @ SY6 ) )
| ~ ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[11]) ).
thf(13,plain,
( ( ( ~ ! [SY6: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY6 ) )
| ~ ( g @ SY6 ) ) )
= ( ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ( ~ ! [SY6: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY6 ) )
| ~ ( g @ SY6 ) )
| ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( ~ ~ ! [SY6: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY6 ) )
| ~ ( g @ SY6 ) )
| ~ ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(16,plain,
( ( ~ ! [SY6: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY6 ) )
| ~ ( g @ SY6 ) )
| ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ~ ! [SY6: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY6 ) )
| ~ ( g @ SY6 ) )
| ~ ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( ( ~ ! [SY6: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY6 ) )
| ~ ( g @ SY6 ) ) )
= $true )
| ( ( ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( ( ~ ~ ! [SY6: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY6 ) )
| ~ ( g @ SY6 ) ) )
= $true )
| ( ( ~ ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(20,plain,
( ( ( ! [SY6: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY6 ) )
| ~ ( g @ SY6 ) ) )
= $false )
| ( ( ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(21,plain,
( ( ( ~ ! [SY6: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY6 ) )
| ~ ( g @ SY6 ) ) )
= $false )
| ( ( ~ ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(22,plain,
( ( ( ~ ~ ( ( sK1_SV1
!= ( f @ sK2_SY6 ) )
| ~ ( g @ sK2_SY6 ) ) )
= $false )
| ( ( ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[20]) ).
thf(23,plain,
( ( ( ! [SY6: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY6 ) )
| ~ ( g @ SY6 ) ) )
= $true )
| ( ( ~ ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(24,plain,
( ( ( ~ ( ( sK1_SV1
!= ( f @ sK2_SY6 ) )
| ~ ( g @ sK2_SY6 ) ) )
= $true )
| ( ( ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(25,plain,
! [SV2: b] :
( ( ( ~ ~ ( ( sK1_SV1
!= ( f @ SV2 ) )
| ~ ( g @ SV2 ) ) )
= $true )
| ( ( ~ ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(26,plain,
( ( ( ( sK1_SV1
!= ( f @ sK2_SY6 ) )
| ~ ( g @ sK2_SY6 ) )
= $false )
| ( ( ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(27,plain,
! [SV2: b] :
( ( ( ~ ( ( sK1_SV1
!= ( f @ SV2 ) )
| ~ ( g @ SV2 ) ) )
= $false )
| ( ( ~ ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(28,plain,
( ( ( sK1_SV1
!= ( f @ sK2_SY6 ) )
= $false )
| ( ( ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(29,plain,
( ( ( ~ ( g @ sK2_SY6 ) )
= $false )
| ( ( ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(30,plain,
! [SV2: b] :
( ( ( ( sK1_SV1
!= ( f @ SV2 ) )
| ~ ( g @ SV2 ) )
= $true )
| ( ( ~ ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(31,plain,
( ( ( sK1_SV1
= ( f @ sK2_SY6 ) )
= $true )
| ( ( ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(32,plain,
( ( ( g @ sK2_SY6 )
= $true )
| ( ( ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(33,plain,
! [SV2: b] :
( ( ( sK1_SV1
!= ( f @ SV2 ) )
= $true )
| ( ( ~ ( g @ SV2 ) )
= $true )
| ( ( ~ ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(34,plain,
( ( ( ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $false )
| ( ( sK1_SV1
= ( f @ sK2_SY6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(35,plain,
( ( ( ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $false )
| ( ( g @ sK2_SY6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV2: b] :
( ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( ~ ( g @ SV2 ) )
= $true )
| ( ( ~ ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(37,plain,
( ( ( ~ ~ ( ( sK1_SV1
!= ( f @ sK3_SY7 ) )
| ~ ( g @ sK3_SY7 ) ) )
= $false )
| ( ( sK1_SV1
= ( f @ sK2_SY6 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[34]) ).
thf(38,plain,
( ( ( ~ ~ ( ( sK1_SV1
!= ( f @ sK4_SY7 ) )
| ~ ( g @ sK4_SY7 ) ) )
= $false )
| ( ( g @ sK2_SY6 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[35]) ).
thf(39,plain,
! [SV2: b] :
( ( ( g @ SV2 )
= $false )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( ~ ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(40,plain,
( ( ( ~ ( ( sK1_SV1
!= ( f @ sK3_SY7 ) )
| ~ ( g @ sK3_SY7 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(41,plain,
( ( ( ~ ( ( sK1_SV1
!= ( f @ sK4_SY7 ) )
| ~ ( g @ sK4_SY7 ) ) )
= $true )
| ( ( g @ sK2_SY6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(42,plain,
! [SV2: b] :
( ( ( ~ ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $false )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( g @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[39]) ).
thf(43,plain,
( ( ( ( sK1_SV1
!= ( f @ sK3_SY7 ) )
| ~ ( g @ sK3_SY7 ) )
= $false )
| ( ( sK1_SV1
= ( f @ sK2_SY6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[40]) ).
thf(44,plain,
( ( ( ( sK1_SV1
!= ( f @ sK4_SY7 ) )
| ~ ( g @ sK4_SY7 ) )
= $false )
| ( ( g @ sK2_SY6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(45,plain,
! [SV2: b] :
( ( ( ! [SY7: b] :
~ ~ ( ( sK1_SV1
!= ( f @ SY7 ) )
| ~ ( g @ SY7 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( g @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[42]) ).
thf(46,plain,
( ( ( sK1_SV1
!= ( f @ sK3_SY7 ) )
= $false )
| ( ( sK1_SV1
= ( f @ sK2_SY6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(47,plain,
( ( ( ~ ( g @ sK3_SY7 ) )
= $false )
| ( ( sK1_SV1
= ( f @ sK2_SY6 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[43]) ).
thf(48,plain,
( ( ( sK1_SV1
!= ( f @ sK4_SY7 ) )
= $false )
| ( ( g @ sK2_SY6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(49,plain,
( ( ( ~ ( g @ sK4_SY7 ) )
= $false )
| ( ( g @ sK2_SY6 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[44]) ).
thf(50,plain,
! [SV2: b,SV3: b] :
( ( ( ~ ~ ( ( sK1_SV1
!= ( f @ SV3 ) )
| ~ ( g @ SV3 ) ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( g @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(51,plain,
( ( ( sK1_SV1
= ( f @ sK3_SY7 ) )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(52,plain,
( ( ( g @ sK3_SY7 )
= $true )
| ( ( sK1_SV1
= ( f @ sK2_SY6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(53,plain,
( ( ( sK1_SV1
= ( f @ sK4_SY7 ) )
= $true )
| ( ( g @ sK2_SY6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(54,plain,
( ( ( g @ sK4_SY7 )
= $true )
| ( ( g @ sK2_SY6 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(55,plain,
! [SV2: b,SV3: b] :
( ( ( ~ ( ( sK1_SV1
!= ( f @ SV3 ) )
| ~ ( g @ SV3 ) ) )
= $false )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( g @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(56,plain,
! [SV2: b,SV3: b] :
( ( ( ( sK1_SV1
!= ( f @ SV3 ) )
| ~ ( g @ SV3 ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( g @ SV2 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(57,plain,
! [SV2: b,SV3: b] :
( ( ( sK1_SV1
!= ( f @ SV3 ) )
= $true )
| ( ( ~ ( g @ SV3 ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( g @ SV2 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(58,plain,
! [SV2: b,SV3: b] :
( ( ( sK1_SV1
= ( f @ SV3 ) )
= $false )
| ( ( ~ ( g @ SV3 ) )
= $true )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( g @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(59,plain,
! [SV2: b,SV3: b] :
( ( ( g @ SV3 )
= $false )
| ( ( sK1_SV1
= ( f @ SV3 ) )
= $false )
| ( ( sK1_SV1
= ( f @ SV2 ) )
= $false )
| ( ( g @ SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(60,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[10,59,54,53,52,51,13]) ).
thf(61,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[60]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU883^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.12 % Computer : n012.cluster.edu
% 0.09/0.12 % Model : x86_64 x86_64
% 0.09/0.12 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.12 % Memory : 8046.5625MB
% 0.09/0.12 % OS : Linux 6.8.0-71-generic
% 0.09/0.12 % CPULimit : 300
% 0.09/0.12 % WCLimit : 300
% 0.09/0.12 % DateTime : Tue Oct 6 15:37:01 UTC 2026
% 0.09/0.12 % CPUTime :
% 0.09/0.12 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.15
% 0.09/0.15 No.of.Axioms: 0
% 0.09/0.15
% 0.09/0.15 Length.of.Defs: 0
% 0.09/0.15
% 0.09/0.15 Contains.Choice.Funs: false
% 0.09/0.15 .
% 0.09/0.15
% 0.09/0.15 ********************************
% 0.09/0.15 * All subproblems solved! *
% 0.09/0.15 ********************************
% 0.09/0.15 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:60,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 0.09/0.15
% 0.09/0.15 %**** Beginning of derivation protocol ****
% 0.09/0.15 % SZS output start CNFRefutation
% See solution above
% 0.09/0.15
% 0.09/0.15 %**** End of derivation protocol ****
% 0.09/0.15 %**** no. of clauses in derivation: 61 ****
% 0.09/0.15 %**** clause counter: 60 ****
% 0.09/0.15
% 0.09/0.15 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:60,loop_count:0,foatp_calls:1,translation:fof_experiment)
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