TSTP Solution File: SEU659^2 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU659^2 : TPTP v8.1.0. Released v3.7.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n012.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 : Tue Jul 19 12:13:43 EDT 2022
% Result : Theorem 0.21s 0.42s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of formulae : 57 ( 30 unt; 11 typ; 2 def)
% Number of atoms : 238 ( 98 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 628 ( 81 ~; 45 |; 12 &; 473 @)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 14 ( 11 usr; 8 con; 0-3 aty)
% Number of variables : 133 ( 0 ^ 127 !; 6 ?; 133 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cartprod,type,
cartprod: $i > $i > $i ).
thf(tp_cartprodmempair1,type,
cartprodmempair1: $o ).
thf(tp_in,type,
in: $i > $i > $o ).
thf(tp_kpair,type,
kpair: $i > $i > $i ).
thf(tp_sK1_A,type,
sK1_A: $i ).
thf(tp_sK2_SY17,type,
sK2_SY17: $i ).
thf(tp_sK3_SY20,type,
sK3_SY20: $i ).
thf(tp_sK4_SY22,type,
sK4_SY22: $i ).
thf(tp_sK5_Xx,type,
sK5_Xx: $i > $i > $i > $i ).
thf(tp_sK6_SY23,type,
sK6_SY23: $i > $i > $i > $i ).
thf(tp_setukpairinjL,type,
setukpairinjL: $o ).
thf(cartprodmempair1,definition,
( cartprodmempair1
= ( ! [A: $i,B: $i,Xu: $i] :
( ( in @ Xu @ ( cartprod @ A @ B ) )
=> ? [Xx: $i] :
( ( in @ Xx @ A )
& ? [Xy: $i] :
( ( in @ Xy @ B )
& ( Xu
= ( kpair @ Xx @ Xy ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartprodmempair1) ).
thf(setukpairinjL,definition,
( setukpairinjL
= ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
( ( ( kpair @ Xx @ Xy )
= ( kpair @ Xz @ Xu ) )
=> ( Xx = Xz ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',setukpairinjL) ).
thf(1,conjecture,
( cartprodmempair1
=> ( setukpairinjL
=> ! [A: $i,B: $i,Xx: $i,Xy: $i] :
( ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) )
=> ( in @ Xx @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cartprodpairmemEL) ).
thf(2,negated_conjecture,
( ( cartprodmempair1
=> ( setukpairinjL
=> ! [A: $i,B: $i,Xx: $i,Xy: $i] :
( ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) )
=> ( in @ Xx @ A ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [A: $i,B: $i,Xu: $i] :
( ( in @ Xu @ ( cartprod @ A @ B ) )
=> ? [Xx: $i] :
( ( in @ Xx @ A )
& ? [Xy: $i] :
( ( in @ Xy @ B )
& ( Xu
= ( kpair @ Xx @ Xy ) ) ) ) )
=> ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
( ( ( kpair @ Xx @ Xy )
= ( kpair @ Xz @ Xu ) )
=> ( Xx = Xz ) )
=> ! [A: $i,B: $i,Xx: $i,Xy: $i] :
( ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) )
=> ( in @ Xx @ A ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,cartprodmempair1,setukpairinjL]) ).
thf(4,plain,
( ( ! [A: $i,B: $i,Xu: $i] :
( ( in @ Xu @ ( cartprod @ A @ B ) )
=> ? [Xx: $i] :
( ( in @ Xx @ A )
& ? [Xy: $i] :
( ( in @ Xy @ B )
& ( Xu
= ( kpair @ Xx @ Xy ) ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
( ( ( kpair @ Xx @ Xy )
= ( kpair @ Xz @ Xu ) )
=> ( Xx = Xz ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [A: $i,B: $i,Xx: $i,Xy: $i] :
( ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) )
=> ( in @ Xx @ A ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ~ ! [A: $i,B: $i,Xx: $i,Xy: $i] :
( ( in @ ( kpair @ Xx @ Xy ) @ ( cartprod @ A @ B ) )
=> ( in @ Xx @ A ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( ( in @ ( kpair @ sK3_SY20 @ sK4_SY22 ) @ ( cartprod @ sK1_A @ sK2_SY17 ) )
& ~ ( in @ sK3_SY20 @ sK1_A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(9,plain,
( ( ! [A: $i,B: $i,Xu: $i] :
( ~ ( in @ Xu @ ( cartprod @ A @ B ) )
| ( ( Xu
= ( kpair @ ( sK5_Xx @ Xu @ B @ A ) @ ( sK6_SY23 @ Xu @ B @ A ) ) )
& ( in @ ( sK6_SY23 @ Xu @ B @ A ) @ B )
& ( in @ ( sK5_Xx @ Xu @ B @ A ) @ A ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(10,plain,
( ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ! [Xu: $i] :
( ( kpair @ Xx @ Xy )
!= ( kpair @ Xz @ Xu ) )
| ( Xx = Xz ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(11,plain,
( ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ! [Xu: $i] :
( ( kpair @ Xx @ Xy )
!= ( kpair @ Xz @ Xu ) )
| ( Xx = Xz ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(12,plain,
( ( ! [A: $i,B: $i,Xu: $i] :
( ~ ( in @ Xu @ ( cartprod @ A @ B ) )
| ( ( Xu
= ( kpair @ ( sK5_Xx @ Xu @ B @ A ) @ ( sK6_SY23 @ Xu @ B @ A ) ) )
& ( in @ ( sK6_SY23 @ Xu @ B @ A ) @ B )
& ( in @ ( sK5_Xx @ Xu @ B @ A ) @ A ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(13,plain,
( ( ( in @ ( kpair @ sK3_SY20 @ sK4_SY22 ) @ ( cartprod @ sK1_A @ sK2_SY17 ) )
& ~ ( in @ sK3_SY20 @ sK1_A ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(14,plain,
( ( ~ ( ~ ( in @ ( kpair @ sK3_SY20 @ sK4_SY22 ) @ ( cartprod @ sK1_A @ sK2_SY17 ) )
| ~ ~ ( in @ sK3_SY20 @ sK1_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13,cartprodmempair1,setukpairinjL]) ).
thf(15,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( in @ SX2 @ ( cartprod @ SX0 @ SX1 ) )
| ~ ( ~ ~ ( ( SX2
!= ( kpair @ ( sK5_Xx @ SX2 @ SX1 @ SX0 ) @ ( sK6_SY23 @ SX2 @ SX1 @ SX0 ) ) )
| ~ ( in @ ( sK6_SY23 @ SX2 @ SX1 @ SX0 ) @ SX1 ) )
| ~ ( in @ ( sK5_Xx @ SX2 @ SX1 @ SX0 ) @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12,cartprodmempair1,setukpairinjL]) ).
thf(16,plain,
! [SV1: $i] :
( ( ! [SY24: $i,SY25: $i] :
( ! [SY26: $i] :
( ( kpair @ SV1 @ SY24 )
!= ( kpair @ SY25 @ SY26 ) )
| ( SV1 = SY25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(17,plain,
( ( ~ ( in @ ( kpair @ sK3_SY20 @ sK4_SY22 ) @ ( cartprod @ sK1_A @ sK2_SY17 ) )
| ~ ~ ( in @ sK3_SY20 @ sK1_A ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(18,plain,
! [SV2: $i] :
( ( ! [SY27: $i,SY28: $i] :
( ~ ( in @ SY28 @ ( cartprod @ SV2 @ SY27 ) )
| ~ ( ~ ~ ( ( SY28
!= ( kpair @ ( sK5_Xx @ SY28 @ SY27 @ SV2 ) @ ( sK6_SY23 @ SY28 @ SY27 @ SV2 ) ) )
| ~ ( in @ ( sK6_SY23 @ SY28 @ SY27 @ SV2 ) @ SY27 ) )
| ~ ( in @ ( sK5_Xx @ SY28 @ SY27 @ SV2 ) @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(19,plain,
! [SV3: $i,SV1: $i] :
( ( ! [SY29: $i] :
( ! [SY30: $i] :
( ( kpair @ SV1 @ SV3 )
!= ( kpair @ SY29 @ SY30 ) )
| ( SV1 = SY29 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(20,plain,
( ( ~ ( in @ ( kpair @ sK3_SY20 @ sK4_SY22 ) @ ( cartprod @ sK1_A @ sK2_SY17 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ~ ( in @ sK3_SY20 @ sK1_A ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(22,plain,
! [SV4: $i,SV2: $i] :
( ( ! [SY31: $i] :
( ~ ( in @ SY31 @ ( cartprod @ SV2 @ SV4 ) )
| ~ ( ~ ~ ( ( SY31
!= ( kpair @ ( sK5_Xx @ SY31 @ SV4 @ SV2 ) @ ( sK6_SY23 @ SY31 @ SV4 @ SV2 ) ) )
| ~ ( in @ ( sK6_SY23 @ SY31 @ SV4 @ SV2 ) @ SV4 ) )
| ~ ( in @ ( sK5_Xx @ SY31 @ SV4 @ SV2 ) @ SV2 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(23,plain,
! [SV5: $i,SV3: $i,SV1: $i] :
( ( ! [SY32: $i] :
( ( kpair @ SV1 @ SV3 )
!= ( kpair @ SV5 @ SY32 ) )
| ( SV1 = SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
( ( in @ ( kpair @ sK3_SY20 @ sK4_SY22 ) @ ( cartprod @ sK1_A @ sK2_SY17 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(25,plain,
( ( ~ ( in @ sK3_SY20 @ sK1_A ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(26,plain,
! [SV4: $i,SV2: $i,SV6: $i] :
( ( ~ ( in @ SV6 @ ( cartprod @ SV2 @ SV4 ) )
| ~ ( ~ ~ ( ( SV6
!= ( kpair @ ( sK5_Xx @ SV6 @ SV4 @ SV2 ) @ ( sK6_SY23 @ SV6 @ SV4 @ SV2 ) ) )
| ~ ( in @ ( sK6_SY23 @ SV6 @ SV4 @ SV2 ) @ SV4 ) )
| ~ ( in @ ( sK5_Xx @ SV6 @ SV4 @ SV2 ) @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(27,plain,
! [SV5: $i,SV3: $i,SV1: $i] :
( ( ( ! [SY32: $i] :
( ( kpair @ SV1 @ SV3 )
!= ( kpair @ SV5 @ SY32 ) ) )
= $true )
| ( ( SV1 = SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(28,plain,
( ( in @ sK3_SY20 @ sK1_A )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(29,plain,
! [SV4: $i,SV2: $i,SV6: $i] :
( ( ( ~ ( in @ SV6 @ ( cartprod @ SV2 @ SV4 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( ( SV6
!= ( kpair @ ( sK5_Xx @ SV6 @ SV4 @ SV2 ) @ ( sK6_SY23 @ SV6 @ SV4 @ SV2 ) ) )
| ~ ( in @ ( sK6_SY23 @ SV6 @ SV4 @ SV2 ) @ SV4 ) )
| ~ ( in @ ( sK5_Xx @ SV6 @ SV4 @ SV2 ) @ SV2 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(30,plain,
! [SV7: $i,SV5: $i,SV3: $i,SV1: $i] :
( ( ( ( ( kpair @ SV1 @ SV3 )
!= ( kpair @ SV5 @ SV7 ) ) )
= $true )
| ( ( SV1 = SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(31,plain,
! [SV4: $i,SV2: $i,SV6: $i] :
( ( ( in @ SV6 @ ( cartprod @ SV2 @ SV4 ) )
= $false )
| ( ( ~ ( ~ ~ ( ( SV6
!= ( kpair @ ( sK5_Xx @ SV6 @ SV4 @ SV2 ) @ ( sK6_SY23 @ SV6 @ SV4 @ SV2 ) ) )
| ~ ( in @ ( sK6_SY23 @ SV6 @ SV4 @ SV2 ) @ SV4 ) )
| ~ ( in @ ( sK5_Xx @ SV6 @ SV4 @ SV2 ) @ SV2 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(32,plain,
! [SV7: $i,SV5: $i,SV3: $i,SV1: $i] :
( ( ( ( kpair @ SV1 @ SV3 )
= ( kpair @ SV5 @ SV7 ) )
= $false )
| ( ( SV1 = SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(33,plain,
! [SV2: $i,SV4: $i,SV6: $i] :
( ( ( ~ ~ ( ( SV6
!= ( kpair @ ( sK5_Xx @ SV6 @ SV4 @ SV2 ) @ ( sK6_SY23 @ SV6 @ SV4 @ SV2 ) ) )
| ~ ( in @ ( sK6_SY23 @ SV6 @ SV4 @ SV2 ) @ SV4 ) )
| ~ ( in @ ( sK5_Xx @ SV6 @ SV4 @ SV2 ) @ SV2 ) )
= $false )
| ( ( in @ SV6 @ ( cartprod @ SV2 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(34,plain,
! [SV2: $i,SV4: $i,SV6: $i] :
( ( ( ~ ~ ( ( SV6
!= ( kpair @ ( sK5_Xx @ SV6 @ SV4 @ SV2 ) @ ( sK6_SY23 @ SV6 @ SV4 @ SV2 ) ) )
| ~ ( in @ ( sK6_SY23 @ SV6 @ SV4 @ SV2 ) @ SV4 ) ) )
= $false )
| ( ( in @ SV6 @ ( cartprod @ SV2 @ SV4 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(35,plain,
! [SV2: $i,SV4: $i,SV6: $i] :
( ( ( ~ ( in @ ( sK5_Xx @ SV6 @ SV4 @ SV2 ) @ SV2 ) )
= $false )
| ( ( in @ SV6 @ ( cartprod @ SV2 @ SV4 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[33]) ).
thf(36,plain,
! [SV2: $i,SV4: $i,SV6: $i] :
( ( ( ~ ( ( SV6
!= ( kpair @ ( sK5_Xx @ SV6 @ SV4 @ SV2 ) @ ( sK6_SY23 @ SV6 @ SV4 @ SV2 ) ) )
| ~ ( in @ ( sK6_SY23 @ SV6 @ SV4 @ SV2 ) @ SV4 ) ) )
= $true )
| ( ( in @ SV6 @ ( cartprod @ SV2 @ SV4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(37,plain,
! [SV2: $i,SV4: $i,SV6: $i] :
( ( ( in @ ( sK5_Xx @ SV6 @ SV4 @ SV2 ) @ SV2 )
= $true )
| ( ( in @ SV6 @ ( cartprod @ SV2 @ SV4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(38,plain,
! [SV2: $i,SV4: $i,SV6: $i] :
( ( ( ( SV6
!= ( kpair @ ( sK5_Xx @ SV6 @ SV4 @ SV2 ) @ ( sK6_SY23 @ SV6 @ SV4 @ SV2 ) ) )
| ~ ( in @ ( sK6_SY23 @ SV6 @ SV4 @ SV2 ) @ SV4 ) )
= $false )
| ( ( in @ SV6 @ ( cartprod @ SV2 @ SV4 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(39,plain,
! [SV2: $i,SV4: $i,SV6: $i] :
( ( ( ( SV6
!= ( kpair @ ( sK5_Xx @ SV6 @ SV4 @ SV2 ) @ ( sK6_SY23 @ SV6 @ SV4 @ SV2 ) ) ) )
= $false )
| ( ( in @ SV6 @ ( cartprod @ SV2 @ SV4 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(40,plain,
! [SV2: $i,SV4: $i,SV6: $i] :
( ( ( ~ ( in @ ( sK6_SY23 @ SV6 @ SV4 @ SV2 ) @ SV4 ) )
= $false )
| ( ( in @ SV6 @ ( cartprod @ SV2 @ SV4 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[38]) ).
thf(41,plain,
! [SV2: $i,SV4: $i,SV6: $i] :
( ( ( SV6
= ( kpair @ ( sK5_Xx @ SV6 @ SV4 @ SV2 ) @ ( sK6_SY23 @ SV6 @ SV4 @ SV2 ) ) )
= $true )
| ( ( in @ SV6 @ ( cartprod @ SV2 @ SV4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[39]) ).
thf(42,plain,
! [SV2: $i,SV4: $i,SV6: $i] :
( ( ( in @ ( sK6_SY23 @ SV6 @ SV4 @ SV2 ) @ SV4 )
= $true )
| ( ( in @ SV6 @ ( cartprod @ SV2 @ SV4 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[40]) ).
thf(43,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[24,42,41,37,32,28]) ).
thf(44,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEU659^2 : TPTP v8.1.0. Released v3.7.0.
% 0.08/0.15 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jun 19 14:32:53 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.37
% 0.14/0.37 No.of.Axioms: 0
% 0.14/0.37
% 0.14/0.37 Length.of.Defs: 469
% 0.14/0.37
% 0.14/0.37 Contains.Choice.Funs: false
% 0.14/0.37 (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)..
% 0.21/0.42
% 0.21/0.42 ********************************
% 0.21/0.42 * All subproblems solved! *
% 0.21/0.42 ********************************
% 0.21/0.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,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:43,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.21/0.42
% 0.21/0.42 %**** Beginning of derivation protocol ****
% 0.21/0.42 % SZS output start CNFRefutation
% See solution above
% 0.21/0.42
% 0.21/0.42 %**** End of derivation protocol ****
% 0.21/0.42 %**** no. of clauses in derivation: 44 ****
% 0.21/0.42 %**** clause counter: 43 ****
% 0.21/0.42
% 0.21/0.42 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,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:43,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------