TSTP Solution File: SEV166^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV166^5 : 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 : n021.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 17:35:27 EDT 2022
% Result : Theorem 5.33s 5.55s
% Output : CNFRefutation 5.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 7
% Syntax : Number of formulae : 57 ( 46 unt; 6 typ; 0 def)
% Number of atoms : 208 ( 152 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 240 ( 53 ~; 19 |; 17 &; 140 @)
% ( 7 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 1 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 120 ( 120 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 6 con; 0-2 aty)
% Number of variables : 77 ( 50 ^ 27 !; 0 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_Xx,type,
sK1_Xx: a ).
thf(tp_sK2_SY6,type,
sK2_SY6: a ).
thf(tp_sK3_SY11,type,
sK3_SY11: a ).
thf(tp_sK4_SY15,type,
sK4_SY15: a ).
thf(tp_sK5_SV128,type,
sK5_SV128: a > a > a ).
thf(1,conjecture,
! [Xx: a,Xy: a,Xu: a,Xv: a] :
( ( ( ^ [Xg: a > a > a] : ( Xg @ Xx @ Xy ) )
= ( ^ [Xg: a > a > a] : ( Xg @ Xu @ Xv ) ) )
<=> ( ( Xx = Xu )
& ( Xy = Xv ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM182_pme) ).
thf(2,negated_conjecture,
( ( ! [Xx: a,Xy: a,Xu: a,Xv: a] :
( ( ( ^ [Xg: a > a > a] : ( Xg @ Xx @ Xy ) )
= ( ^ [Xg: a > a > a] : ( Xg @ Xu @ Xv ) ) )
<=> ( ( Xx = Xu )
& ( Xy = Xv ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xx: a,Xy: a,Xu: a,Xv: a] :
( ( ( ^ [Xg: a > a > a] : ( Xg @ Xx @ Xy ) )
= ( ^ [Xg: a > a > a] : ( Xg @ Xu @ Xv ) ) )
<=> ( ( Xx = Xu )
& ( Xy = Xv ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY6: a,SY7: a,SY8: a] :
( ( ( ^ [SY9: a > a > a] : ( SY9 @ sK1_Xx @ SY6 ) )
= ( ^ [Xg: a > a > a] : ( Xg @ SY7 @ SY8 ) ) )
<=> ( ( sK1_Xx = SY7 )
& ( SY6 = SY8 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY11: a,SY12: a] :
( ( ( ^ [SY13: a > a > a] : ( SY13 @ sK1_Xx @ sK2_SY6 ) )
= ( ^ [Xg: a > a > a] : ( Xg @ SY11 @ SY12 ) ) )
<=> ( ( sK1_Xx = SY11 )
& ( sK2_SY6 = SY12 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY15: a] :
( ( ( ^ [SY13: a > a > a] : ( SY13 @ sK1_Xx @ sK2_SY6 ) )
= ( ^ [SY17: a > a > a] : ( SY17 @ sK3_SY11 @ SY15 ) ) )
<=> ( ( sK1_Xx = sK3_SY11 )
& ( sK2_SY6 = SY15 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ( ( ^ [SY13: a > a > a] : ( SY13 @ sK1_Xx @ sK2_SY6 ) )
= ( ^ [SY19: a > a > a] : ( SY19 @ sK3_SY11 @ sK4_SY15 ) ) )
<=> ( ( sK1_Xx = sK3_SY11 )
& ( sK2_SY6 = sK4_SY15 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(8,plain,
( ( ( ( ^ [SY13: a > a > a] : ( SY13 @ sK1_Xx @ sK2_SY6 ) )
= ( ^ [SY19: a > a > a] : ( SY19 @ sK3_SY11 @ sK4_SY15 ) ) )
=> ( ( sK1_Xx = sK3_SY11 )
& ( sK2_SY6 = sK4_SY15 ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[7]) ).
thf(9,plain,
( ( ( ( sK1_Xx = sK3_SY11 )
& ( sK2_SY6 = sK4_SY15 ) )
=> ( ( ^ [SY13: a > a > a] : ( SY13 @ sK1_Xx @ sK2_SY6 ) )
= ( ^ [SY19: a > a > a] : ( SY19 @ sK3_SY11 @ sK4_SY15 ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[7]) ).
thf(10,plain,
( ( ~ ( ( ( ^ [SY13: a > a > a] : ( SY13 @ sK1_Xx @ sK2_SY6 ) )
= ( ^ [SY19: a > a > a] : ( SY19 @ sK3_SY11 @ sK4_SY15 ) ) )
=> ( ( sK1_Xx = sK3_SY11 )
& ( sK2_SY6 = sK4_SY15 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ( ( ( sK1_Xx = sK3_SY11 )
& ( sK2_SY6 = sK4_SY15 ) )
=> ( ( ^ [SY13: a > a > a] : ( SY13 @ sK1_Xx @ sK2_SY6 ) )
= ( ^ [SY19: a > a > a] : ( SY19 @ sK3_SY11 @ sK4_SY15 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(12,plain,
( ( ( ( ^ [SY13: a > a > a] : ( SY13 @ sK1_Xx @ sK2_SY6 ) )
= ( ^ [SY19: a > a > a] : ( SY19 @ sK3_SY11 @ sK4_SY15 ) ) )
& ( ( sK1_Xx != sK3_SY11 )
| ( sK2_SY6 != sK4_SY15 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(13,plain,
( ( ( sK1_Xx = sK3_SY11 )
& ( sK2_SY6 = sK4_SY15 )
& ( ( ^ [SY13: a > a > a] : ( SY13 @ sK1_Xx @ sK2_SY6 ) )
!= ( ^ [SY19: a > a > a] : ( SY19 @ sK3_SY11 @ sK4_SY15 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(14,plain,
( ( ( ( ^ [SY13: a > a > a] : ( SY13 @ sK1_Xx @ sK2_SY6 ) )
= ( ^ [SY19: a > a > a] : ( SY19 @ sK3_SY11 @ sK4_SY15 ) ) )
& ( ( sK1_Xx != sK3_SY11 )
| ( sK2_SY6 != sK4_SY15 ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(15,plain,
( ( ~ ( ( ( ^ [SX0: a > a > a] : ( SX0 @ sK1_Xx @ sK2_SY6 ) )
!= ( ^ [SX0: a > a > a] : ( SX0 @ sK3_SY11 @ sK4_SY15 ) ) )
| ~ ( ( sK1_Xx != sK3_SY11 )
| ( sK2_SY6 != sK4_SY15 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(16,plain,
( ( ( ( ^ [SX0: a > a > a] : ( SX0 @ sK1_Xx @ sK2_SY6 ) )
!= ( ^ [SX0: a > a > a] : ( SX0 @ sK3_SY11 @ sK4_SY15 ) ) )
| ~ ( ( sK1_Xx != sK3_SY11 )
| ( sK2_SY6 != sK4_SY15 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(17,plain,
( ( ( ( ^ [SX0: a > a > a] : ( SX0 @ sK1_Xx @ sK2_SY6 ) )
!= ( ^ [SX0: a > a > a] : ( SX0 @ sK3_SY11 @ sK4_SY15 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(18,plain,
( ( ~ ( ( sK1_Xx != sK3_SY11 )
| ( sK2_SY6 != sK4_SY15 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(19,plain,
( ( ( ^ [SX0: a > a > a] : ( SX0 @ sK1_Xx @ sK2_SY6 ) )
= ( ^ [SX0: a > a > a] : ( SX0 @ sK3_SY11 @ sK4_SY15 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ( sK1_Xx != sK3_SY11 )
| ( sK2_SY6 != sK4_SY15 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(21,plain,
( ( ! [SV1: a > a > a] :
( ( SV1 @ sK1_Xx @ sK2_SY6 )
= ( SV1 @ sK3_SY11 @ sK4_SY15 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( ( ( sK1_Xx != sK3_SY11 ) )
= $true )
| ( ( ( sK2_SY6 != sK4_SY15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(24,plain,
! [SV2: a > a > a] :
( ( ( SV2 @ sK1_Xx @ sK2_SY6 )
= ( SV2 @ sK3_SY11 @ sK4_SY15 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(25,plain,
( ( ( sK1_Xx = sK3_SY11 )
= $false )
| ( ( ( sK2_SY6 != sK4_SY15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(26,plain,
( ( ( sK2_SY6 = sK4_SY15 )
= $false )
| ( ( sK1_Xx = sK3_SY11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(39,plain,
! [SV4: a > a > a] :
( ( ( SV4 @ sK1_Xx @ sK2_SY6 )
= ( SV4 @ sK3_SY11 @ sK4_SY15 ) )
= $true ),
inference(rename,[status(thm)],[24]) ).
thf(61,plain,
! [SV7: a > a > a] :
( ( ( SV7 @ sK1_Xx @ sK2_SY6 )
= ( SV7 @ sK3_SY11 @ sK4_SY15 ) )
= $true ),
inference(rename,[status(thm)],[39]) ).
thf(63,plain,
! [SV7: a > a > a] :
( ( ( ( ( SV7 @ sK1_Xx @ sK2_SY6 )
= ( SV7 @ sK3_SY11 @ sK4_SY15 ) )
= ( sK2_SY6 = sK4_SY15 ) )
= $false )
| ( ( sK1_Xx = sK3_SY11 )
= $false ) ),
inference(res,[status(thm)],[61,26]) ).
thf(67,plain,
( ( sK1_Xx = sK3_SY11 )
= $false ),
inference(extuni,[status(esa)],[63:[bind(SV7,$thf( ^ [SX0: a] : ^ [SX1: a] : SX1 ))]]) ).
thf(270,plain,
! [SV64: a > a > a] :
( ( ( SV64 @ sK1_Xx @ sK2_SY6 )
= ( SV64 @ sK3_SY11 @ sK4_SY15 ) )
= $true ),
inference(rename,[status(thm)],[61]) ).
thf(643,plain,
! [SV119: a > a > a] :
( ( ( SV119 @ sK1_Xx @ sK2_SY6 )
= ( SV119 @ sK3_SY11 @ sK4_SY15 ) )
= $true ),
inference(rename,[status(thm)],[270]) ).
thf(659,plain,
! [SV119: a > a > a] :
( ( ( ( SV119 @ sK1_Xx @ sK2_SY6 )
= ( SV119 @ sK3_SY11 @ sK4_SY15 ) )
= ( sK1_Xx = sK3_SY11 ) )
= $false ),
inference(res,[status(thm)],[643,67]) ).
thf(664,plain,
$false = $true,
inference(extuni,[status(esa)],[659:[bind(SV119,$thf( ^ [SX0: a] : ^ [SX1: a] : SX0 ))]]) ).
thf(665,plain,
( ( ( sK1_Xx = sK3_SY11 )
& ( sK2_SY6 = sK4_SY15 )
& ( ( ^ [SY13: a > a > a] : ( SY13 @ sK1_Xx @ sK2_SY6 ) )
!= ( ^ [SY19: a > a > a] : ( SY19 @ sK3_SY11 @ sK4_SY15 ) ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(666,plain,
( ( ~ ( ~ ~ ( ( sK1_Xx != sK3_SY11 )
| ( sK2_SY6 != sK4_SY15 ) )
| ~ ( ( ( ^ [SX0: a > a > a] : ( SX0 @ sK1_Xx @ sK2_SY6 ) )
!= ( ^ [SX0: a > a > a] : ( SX0 @ sK3_SY11 @ sK4_SY15 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[665]) ).
thf(667,plain,
( ( ~ ~ ( ( sK1_Xx != sK3_SY11 )
| ( sK2_SY6 != sK4_SY15 ) )
| ~ ( ( ( ^ [SX0: a > a > a] : ( SX0 @ sK1_Xx @ sK2_SY6 ) )
!= ( ^ [SX0: a > a > a] : ( SX0 @ sK3_SY11 @ sK4_SY15 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(668,plain,
( ( ~ ~ ( ( sK1_Xx != sK3_SY11 )
| ( sK2_SY6 != sK4_SY15 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[667]) ).
thf(669,plain,
( ( ~ ( ( ( ^ [SX0: a > a > a] : ( SX0 @ sK1_Xx @ sK2_SY6 ) )
!= ( ^ [SX0: a > a > a] : ( SX0 @ sK3_SY11 @ sK4_SY15 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[667]) ).
thf(670,plain,
( ( ~ ( ( sK1_Xx != sK3_SY11 )
| ( sK2_SY6 != sK4_SY15 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[668]) ).
thf(671,plain,
( ( ( ( ^ [SX0: a > a > a] : ( SX0 @ sK1_Xx @ sK2_SY6 ) )
!= ( ^ [SX0: a > a > a] : ( SX0 @ sK3_SY11 @ sK4_SY15 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[669]) ).
thf(672,plain,
( ( ( sK1_Xx != sK3_SY11 )
| ( sK2_SY6 != sK4_SY15 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(673,plain,
( ( ( ^ [SX0: a > a > a] : ( SX0 @ sK1_Xx @ sK2_SY6 ) )
= ( ^ [SX0: a > a > a] : ( SX0 @ sK3_SY11 @ sK4_SY15 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[671]) ).
thf(674,plain,
( ( ( sK1_Xx != sK3_SY11 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(675,plain,
( ( ( sK2_SY6 != sK4_SY15 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[672]) ).
thf(676,plain,
( ( ! [SV128: a > a > a] :
( ( SV128 @ sK1_Xx @ sK2_SY6 )
= ( SV128 @ sK3_SY11 @ sK4_SY15 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[673]) ).
thf(677,plain,
( ( ( ^ [SX0: a > a > a] : ( SX0 @ sK1_Xx @ sK2_SY6 ) )
= ( ^ [SX0: a > a > a] : ( SX0 @ sK3_SY11 @ sK4_SY15 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[673]) ).
thf(678,plain,
( ( sK1_Xx = sK3_SY11 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[674]) ).
thf(679,plain,
( ( sK2_SY6 = sK4_SY15 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[675]) ).
thf(680,plain,
( ( ( sK5_SV128 @ sK1_Xx @ sK2_SY6 )
= ( sK5_SV128 @ sK3_SY11 @ sK4_SY15 ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[676]) ).
thf(681,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[677,680,679,678]) ).
thf(682,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[681,664]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEV166^5 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n021.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 12:32:11 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.34
% 0.19/0.34 No.of.Axioms: 0
% 0.19/0.34
% 0.19/0.34 Length.of.Defs: 0
% 0.19/0.34
% 0.19/0.34 Contains.Choice.Funs: false
% 0.19/0.34 (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)........................................................................
% 5.33/5.55
% 5.33/5.55 ********************************
% 5.33/5.55 * All subproblems solved! *
% 5.33/5.55 ********************************
% 5.33/5.55 % 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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:681,loop_count:0,foatp_calls:1,translation:fof_full)
% 5.33/5.55
% 5.33/5.55 %**** Beginning of derivation protocol ****
% 5.33/5.55 % SZS output start CNFRefutation
% See solution above
% 5.33/5.55
% 5.33/5.55 %**** End of derivation protocol ****
% 5.33/5.55 %**** no. of clauses in derivation: 51 ****
% 5.33/5.55 %**** clause counter: 681 ****
% 5.33/5.55
% 5.33/5.55 % 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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:681,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------