TSTP Solution File: SEV067^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV067^5 : 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 : n005.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 17:34:38 EDT 2022
% Result : Theorem 0.18s 0.38s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 78 ( 52 unt; 6 typ; 0 def)
% Number of atoms : 431 ( 113 equ; 0 cnn)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 593 ( 112 ~; 91 |; 37 &; 324 @)
% ( 0 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 143 ( 0 ^ 143 !; 0 ?; 143 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_cR,type,
cR: a > a > $o ).
thf(tp_cS,type,
cS: a > $o ).
thf(tp_cT,type,
cT: a > $o ).
thf(tp_sK1_Xx,type,
sK1_Xx: a ).
thf(tp_sK2_Xx,type,
sK2_Xx: a ).
thf(1,conjecture,
( ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( cR @ Xx @ Xy )
& ( cR @ Xy @ Xz ) )
=> ( cR @ Xx @ Xz ) )
& ! [Xx: a] : ( cR @ Xx @ Xx )
& ! [Xx: a,Xy: a] :
( ( ( cR @ Xx @ Xy )
& ( cR @ Xy @ Xx ) )
=> ( Xx = Xy ) )
& ! [Xx: a,Xy: a] :
( ( cR @ Xx @ Xy )
| ( cR @ Xy @ Xx ) )
& ! [Xu: a,Xv: a] :
( ( ( cR @ Xu @ Xv )
& ( cS @ Xv ) )
=> ( cS @ Xu ) )
& ! [Xu: a,Xv: a] :
( ( ( cR @ Xu @ Xv )
& ( cT @ Xv ) )
=> ( cT @ Xu ) ) )
=> ( ! [Xx: a] :
( ( cS @ Xx )
=> ( cT @ Xx ) )
| ! [Xx: a] :
( ( cT @ Xx )
=> ( cS @ Xx ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM553_pme) ).
thf(2,negated_conjecture,
( ( ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( cR @ Xx @ Xy )
& ( cR @ Xy @ Xz ) )
=> ( cR @ Xx @ Xz ) )
& ! [Xx: a] : ( cR @ Xx @ Xx )
& ! [Xx: a,Xy: a] :
( ( ( cR @ Xx @ Xy )
& ( cR @ Xy @ Xx ) )
=> ( Xx = Xy ) )
& ! [Xx: a,Xy: a] :
( ( cR @ Xx @ Xy )
| ( cR @ Xy @ Xx ) )
& ! [Xu: a,Xv: a] :
( ( ( cR @ Xu @ Xv )
& ( cS @ Xv ) )
=> ( cS @ Xu ) )
& ! [Xu: a,Xv: a] :
( ( ( cR @ Xu @ Xv )
& ( cT @ Xv ) )
=> ( cT @ Xu ) ) )
=> ( ! [Xx: a] :
( ( cS @ Xx )
=> ( cT @ Xx ) )
| ! [Xx: a] :
( ( cT @ Xx )
=> ( cS @ Xx ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( cR @ Xx @ Xy )
& ( cR @ Xy @ Xz ) )
=> ( cR @ Xx @ Xz ) )
& ! [Xx: a] : ( cR @ Xx @ Xx )
& ! [Xx: a,Xy: a] :
( ( ( cR @ Xx @ Xy )
& ( cR @ Xy @ Xx ) )
=> ( Xx = Xy ) )
& ! [Xx: a,Xy: a] :
( ( cR @ Xx @ Xy )
| ( cR @ Xy @ Xx ) )
& ! [Xu: a,Xv: a] :
( ( ( cR @ Xu @ Xv )
& ( cS @ Xv ) )
=> ( cS @ Xu ) )
& ! [Xu: a,Xv: a] :
( ( ( cR @ Xu @ Xv )
& ( cT @ Xv ) )
=> ( cT @ Xu ) ) )
=> ( ! [Xx: a] :
( ( cS @ Xx )
=> ( cT @ Xx ) )
| ! [Xx: a] :
( ( cT @ Xx )
=> ( cS @ Xx ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( cR @ Xx @ Xy )
& ( cR @ Xy @ Xz ) )
=> ( cR @ Xx @ Xz ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xx: a] : ( cR @ Xx @ Xx ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [Xx: a,Xy: a] :
( ( ( cR @ Xx @ Xy )
& ( cR @ Xy @ Xx ) )
=> ( Xx = Xy ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ! [Xx: a,Xy: a] :
( ( cR @ Xx @ Xy )
| ( cR @ Xy @ Xx ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(8,plain,
( ( ! [Xu: a,Xv: a] :
( ( ( cR @ Xu @ Xv )
& ( cS @ Xv ) )
=> ( cS @ Xu ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(9,plain,
( ( ! [Xu: a,Xv: a] :
( ( ( cR @ Xu @ Xv )
& ( cT @ Xv ) )
=> ( cT @ Xu ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(10,plain,
( ( ! [Xx: a] :
( ( cS @ Xx )
=> ( cT @ Xx ) )
| ! [Xx: a] :
( ( cT @ Xx )
=> ( cS @ Xx ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(11,plain,
( ( ~ ( ! [Xx: a] :
( ( cS @ Xx )
=> ( cT @ Xx ) )
| ! [Xx: a] :
( ( cT @ Xx )
=> ( cS @ Xx ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[10]) ).
thf(12,plain,
( ( ( cS @ sK2_Xx )
& ~ ( cT @ sK2_Xx )
& ( cT @ sK1_Xx )
& ~ ( cS @ sK1_Xx ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(13,plain,
( ( ! [Xx: a,Xy: a,Xz: a] :
( ~ ( cR @ Xx @ Xy )
| ~ ( cR @ Xy @ Xz )
| ( cR @ Xx @ Xz ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(14,plain,
( ( ! [Xx: a,Xy: a] :
( ~ ( cR @ Xx @ Xy )
| ~ ( cR @ Xy @ Xx )
| ( Xx = Xy ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(15,plain,
( ( ! [Xu: a] :
( ! [Xv: a] :
( ~ ( cR @ Xu @ Xv )
| ~ ( cS @ Xv ) )
| ( cS @ Xu ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(16,plain,
( ( ! [Xu: a] :
( ! [Xv: a] :
( ~ ( cR @ Xu @ Xv )
| ~ ( cT @ Xv ) )
| ( cT @ Xu ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(17,plain,
( ( ! [Xu: a] :
( ! [Xv: a] :
( ~ ( cR @ Xu @ Xv )
| ~ ( cT @ Xv ) )
| ( cT @ Xu ) ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(18,plain,
( ( ! [Xu: a] :
( ! [Xv: a] :
( ~ ( cR @ Xu @ Xv )
| ~ ( cS @ Xv ) )
| ( cS @ Xu ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(19,plain,
( ( ! [Xx: a,Xy: a] :
( ( cR @ Xx @ Xy )
| ( cR @ Xy @ Xx ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(20,plain,
( ( ! [Xx: a,Xy: a] :
( ~ ( cR @ Xx @ Xy )
| ~ ( cR @ Xy @ Xx )
| ( Xx = Xy ) ) )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(21,plain,
( ( ! [Xx: a] : ( cR @ Xx @ Xx ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(22,plain,
( ( ! [Xx: a,Xy: a,Xz: a] :
( ~ ( cR @ Xx @ Xy )
| ~ ( cR @ Xy @ Xz )
| ( cR @ Xx @ Xz ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(23,plain,
( ( ( cS @ sK2_Xx )
& ~ ( cT @ sK2_Xx )
& ( cT @ sK1_Xx )
& ~ ( cS @ sK1_Xx ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(24,plain,
( ( ~ ( ~ ~ ( ~ ( cS @ sK2_Xx )
| ~ ~ ( cT @ sK2_Xx ) )
| ~ ~ ( ~ ( cT @ sK1_Xx )
| ~ ~ ( cS @ sK1_Xx ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(25,plain,
! [SV1: a] :
( ( ! [SY14: a] :
( ~ ( cR @ SV1 @ SY14 )
| ~ ( cT @ SY14 ) )
| ( cT @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(26,plain,
! [SV2: a] :
( ( ! [SY15: a] :
( ~ ( cR @ SV2 @ SY15 )
| ~ ( cS @ SY15 ) )
| ( cS @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(27,plain,
! [SV3: a] :
( ( ! [SY16: a] :
( ( cR @ SV3 @ SY16 )
| ( cR @ SY16 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(28,plain,
! [SV4: a] :
( ( ! [SY17: a] :
( ~ ( cR @ SV4 @ SY17 )
| ~ ( cR @ SY17 @ SV4 )
| ( SV4 = SY17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(29,plain,
! [SV5: a] :
( ( cR @ SV5 @ SV5 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(30,plain,
! [SV6: a] :
( ( ! [SY18: a,SY19: a] :
( ~ ( cR @ SV6 @ SY18 )
| ~ ( cR @ SY18 @ SY19 )
| ( cR @ SV6 @ SY19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(31,plain,
( ( ~ ~ ( ~ ( cS @ sK2_Xx )
| ~ ~ ( cT @ sK2_Xx ) )
| ~ ~ ( ~ ( cT @ sK1_Xx )
| ~ ~ ( cS @ sK1_Xx ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(32,plain,
! [SV1: a] :
( ( ( ! [SY14: a] :
( ~ ( cR @ SV1 @ SY14 )
| ~ ( cT @ SY14 ) ) )
= $true )
| ( ( cT @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(33,plain,
! [SV2: a] :
( ( ( ! [SY15: a] :
( ~ ( cR @ SV2 @ SY15 )
| ~ ( cS @ SY15 ) ) )
= $true )
| ( ( cS @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(34,plain,
! [SV7: a,SV3: a] :
( ( ( cR @ SV3 @ SV7 )
| ( cR @ SV7 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(35,plain,
! [SV8: a,SV4: a] :
( ( ~ ( cR @ SV4 @ SV8 )
| ~ ( cR @ SV8 @ SV4 )
| ( SV4 = SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(36,plain,
! [SV9: a,SV6: a] :
( ( ! [SY20: a] :
( ~ ( cR @ SV6 @ SV9 )
| ~ ( cR @ SV9 @ SY20 )
| ( cR @ SV6 @ SY20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(37,plain,
( ( ~ ~ ( ~ ( cS @ sK2_Xx )
| ~ ~ ( cT @ sK2_Xx ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(38,plain,
( ( ~ ~ ( ~ ( cT @ sK1_Xx )
| ~ ~ ( cS @ sK1_Xx ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[31]) ).
thf(39,plain,
! [SV10: a,SV1: a] :
( ( ( ~ ( cR @ SV1 @ SV10 )
| ~ ( cT @ SV10 ) )
= $true )
| ( ( cT @ SV1 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(40,plain,
! [SV11: a,SV2: a] :
( ( ( ~ ( cR @ SV2 @ SV11 )
| ~ ( cS @ SV11 ) )
= $true )
| ( ( cS @ SV2 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(41,plain,
! [SV7: a,SV3: a] :
( ( ( cR @ SV3 @ SV7 )
= $true )
| ( ( cR @ SV7 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(42,plain,
! [SV8: a,SV4: a] :
( ( ( ~ ( cR @ SV4 @ SV8 )
| ~ ( cR @ SV8 @ SV4 ) )
= $true )
| ( ( SV4 = SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[35]) ).
thf(43,plain,
! [SV12: a,SV9: a,SV6: a] :
( ( ~ ( cR @ SV6 @ SV9 )
| ~ ( cR @ SV9 @ SV12 )
| ( cR @ SV6 @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(44,plain,
( ( ~ ( ~ ( cS @ sK2_Xx )
| ~ ~ ( cT @ sK2_Xx ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[37]) ).
thf(45,plain,
( ( ~ ( ~ ( cT @ sK1_Xx )
| ~ ~ ( cS @ sK1_Xx ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[38]) ).
thf(46,plain,
! [SV10: a,SV1: a] :
( ( ( ~ ( cR @ SV1 @ SV10 ) )
= $true )
| ( ( ~ ( cT @ SV10 ) )
= $true )
| ( ( cT @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[39]) ).
thf(47,plain,
! [SV11: a,SV2: a] :
( ( ( ~ ( cR @ SV2 @ SV11 ) )
= $true )
| ( ( ~ ( cS @ SV11 ) )
= $true )
| ( ( cS @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[40]) ).
thf(48,plain,
! [SV8: a,SV4: a] :
( ( ( ~ ( cR @ SV4 @ SV8 ) )
= $true )
| ( ( ~ ( cR @ SV8 @ SV4 ) )
= $true )
| ( ( SV4 = SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[42]) ).
thf(49,plain,
! [SV12: a,SV9: a,SV6: a] :
( ( ( ~ ( cR @ SV6 @ SV9 )
| ~ ( cR @ SV9 @ SV12 ) )
= $true )
| ( ( cR @ SV6 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[43]) ).
thf(50,plain,
( ( ~ ( cS @ sK2_Xx )
| ~ ~ ( cT @ sK2_Xx ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[44]) ).
thf(51,plain,
( ( ~ ( cT @ sK1_Xx )
| ~ ~ ( cS @ sK1_Xx ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[45]) ).
thf(52,plain,
! [SV10: a,SV1: a] :
( ( ( cR @ SV1 @ SV10 )
= $false )
| ( ( ~ ( cT @ SV10 ) )
= $true )
| ( ( cT @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[46]) ).
thf(53,plain,
! [SV11: a,SV2: a] :
( ( ( cR @ SV2 @ SV11 )
= $false )
| ( ( ~ ( cS @ SV11 ) )
= $true )
| ( ( cS @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[47]) ).
thf(54,plain,
! [SV8: a,SV4: a] :
( ( ( cR @ SV4 @ SV8 )
= $false )
| ( ( ~ ( cR @ SV8 @ SV4 ) )
= $true )
| ( ( SV4 = SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(55,plain,
! [SV12: a,SV9: a,SV6: a] :
( ( ( ~ ( cR @ SV6 @ SV9 ) )
= $true )
| ( ( ~ ( cR @ SV9 @ SV12 ) )
= $true )
| ( ( cR @ SV6 @ SV12 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[49]) ).
thf(56,plain,
( ( ~ ( cS @ sK2_Xx ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(57,plain,
( ( ~ ~ ( cT @ sK2_Xx ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[50]) ).
thf(58,plain,
( ( ~ ( cT @ sK1_Xx ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(59,plain,
( ( ~ ~ ( cS @ sK1_Xx ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[51]) ).
thf(60,plain,
! [SV1: a,SV10: a] :
( ( ( cT @ SV10 )
= $false )
| ( ( cR @ SV1 @ SV10 )
= $false )
| ( ( cT @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(61,plain,
! [SV2: a,SV11: a] :
( ( ( cS @ SV11 )
= $false )
| ( ( cR @ SV2 @ SV11 )
= $false )
| ( ( cS @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[53]) ).
thf(62,plain,
! [SV4: a,SV8: a] :
( ( ( cR @ SV8 @ SV4 )
= $false )
| ( ( cR @ SV4 @ SV8 )
= $false )
| ( ( SV4 = SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(63,plain,
! [SV12: a,SV9: a,SV6: a] :
( ( ( cR @ SV6 @ SV9 )
= $false )
| ( ( ~ ( cR @ SV9 @ SV12 ) )
= $true )
| ( ( cR @ SV6 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(64,plain,
( ( cS @ sK2_Xx )
= $true ),
inference(extcnf_not_neg,[status(thm)],[56]) ).
thf(65,plain,
( ( ~ ( cT @ sK2_Xx ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[57]) ).
thf(66,plain,
( ( cT @ sK1_Xx )
= $true ),
inference(extcnf_not_neg,[status(thm)],[58]) ).
thf(67,plain,
( ( ~ ( cS @ sK1_Xx ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[59]) ).
thf(68,plain,
! [SV6: a,SV12: a,SV9: a] :
( ( ( cR @ SV9 @ SV12 )
= $false )
| ( ( cR @ SV6 @ SV9 )
= $false )
| ( ( cR @ SV6 @ SV12 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(69,plain,
( ( cT @ sK2_Xx )
= $false ),
inference(extcnf_not_pos,[status(thm)],[65]) ).
thf(70,plain,
( ( cS @ sK1_Xx )
= $false ),
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(71,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[29,70,69,68,66,64,62,61,60,41]) ).
thf(72,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEV067^5 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 28 17:16:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 0
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.35 (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)...
% 0.18/0.38
% 0.18/0.38 ********************************
% 0.18/0.38 * All subproblems solved! *
% 0.18/0.38 ********************************
% 0.18/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:6,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:71,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.18/0.38
% 0.18/0.38 %**** Beginning of derivation protocol ****
% 0.18/0.38 % SZS output start CNFRefutation
% See solution above
% 0.18/0.38
% 0.18/0.38 %**** End of derivation protocol ****
% 0.18/0.38 %**** no. of clauses in derivation: 72 ****
% 0.18/0.38 %**** clause counter: 71 ****
% 0.18/0.38
% 0.18/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:6,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:71,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------