TSTP Solution File: SEV162^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV162^5 : 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 17:35:26 EDT 2022
% Result : Theorem 0.39s 0.58s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 34 unt; 5 typ; 0 def)
% Number of atoms : 113 ( 34 equ; 0 cnn)
% Maximal formula atoms : 1 ( 3 avg)
% Number of connectives : 192 ( 28 ~; 4 |; 4 &; 148 @)
% ( 4 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 65 ( 65 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 153 ( 100 ^ 53 !; 0 ?; 153 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_Xr,type,
sK1_Xr: a > a > $o ).
thf(tp_sK2_SY10,type,
sK2_SY10: ( a > a > a ) > a ).
thf(tp_sK3_SY8,type,
sK3_SY8: a ).
thf(tp_sK4_SY19,type,
sK4_SY19: a ).
thf(1,conjecture,
! [Xr: a > a > $o] :
( ! [Xx: a,Xy: a] : ( Xr @ Xx @ Xy )
<=> ! [Xp: ( a > a > a ) > a] :
( Xr
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xx )
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xy ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM184_pme) ).
thf(2,negated_conjecture,
( ( ! [Xr: a > a > $o] :
( ! [Xx: a,Xy: a] : ( Xr @ Xx @ Xy )
<=> ! [Xp: ( a > a > a ) > a] :
( Xr
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xx )
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xy ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xr: a > a > $o] :
( ! [Xx: a,Xy: a] : ( Xr @ Xx @ Xy )
<=> ! [Xp: ( a > a > a ) > a] :
( Xr
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xx )
@ ( Xp
@ ^ [Xx: a,Xy: a] : Xy ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY8: a,SY9: a] : ( sK1_Xr @ SY8 @ SY9 )
<=> ! [SY10: ( a > a > a ) > a] :
( sK1_Xr
@ ( SY10
@ ^ [Xx: a,Xy: a] : Xx )
@ ( SY10
@ ^ [Xx: a,Xy: a] : Xy ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY8: a,SY9: a] : ( sK1_Xr @ SY8 @ SY9 )
=> ! [SY10: ( a > a > a ) > a] :
( sK1_Xr
@ ( SY10
@ ^ [Xx: a,Xy: a] : Xx )
@ ( SY10
@ ^ [Xx: a,Xy: a] : Xy ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[4]) ).
thf(6,plain,
( ( ! [SY10: ( a > a > a ) > a] :
( sK1_Xr
@ ( SY10
@ ^ [Xx: a,Xy: a] : Xx )
@ ( SY10
@ ^ [Xx: a,Xy: a] : Xy ) )
=> ! [SY8: a,SY9: a] : ( sK1_Xr @ SY8 @ SY9 ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[4]) ).
thf(7,plain,
( ( ~ ( ! [SY8: a,SY9: a] : ( sK1_Xr @ SY8 @ SY9 )
=> ! [SY10: ( a > a > a ) > a] :
( sK1_Xr
@ ( SY10
@ ^ [Xx: a,Xy: a] : Xx )
@ ( SY10
@ ^ [Xx: a,Xy: a] : Xy ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(8,plain,
( ( ~ ( ! [SY10: ( a > a > a ) > a] :
( sK1_Xr
@ ( SY10
@ ^ [Xx: a,Xy: a] : Xx )
@ ( SY10
@ ^ [Xx: a,Xy: a] : Xy ) )
=> ! [SY8: a,SY9: a] : ( sK1_Xr @ SY8 @ SY9 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(9,plain,
( ( ! [SY8: a,SY9: a] : ( sK1_Xr @ SY8 @ SY9 )
& ~ ( sK1_Xr
@ ( sK2_SY10
@ ^ [Xx: a,Xy: a] : Xx )
@ ( sK2_SY10
@ ^ [Xx: a,Xy: a] : Xy ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(10,plain,
( ( ! [SY10: ( a > a > a ) > a] :
( sK1_Xr
@ ( SY10
@ ^ [Xx: a,Xy: a] : Xx )
@ ( SY10
@ ^ [Xx: a,Xy: a] : Xy ) )
& ~ ( sK1_Xr @ sK3_SY8 @ sK4_SY19 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(11,plain,
( ( ! [SY8: a,SY9: a] : ( sK1_Xr @ SY8 @ SY9 )
& ~ ( sK1_Xr
@ ( sK2_SY10
@ ^ [Xx: a,Xy: a] : Xx )
@ ( sK2_SY10
@ ^ [Xx: a,Xy: a] : Xy ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(12,plain,
( ( ~ ( ~ ! [SX0: a,SX1: a] : ( sK1_Xr @ SX0 @ SX1 )
| ~ ~ ( sK1_Xr
@ ( sK2_SY10
@ ^ [SX0: a,SX1: a] : SX0 )
@ ( sK2_SY10
@ ^ [SX0: a,SX1: a] : SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(13,plain,
( ( ~ ! [SX0: a,SX1: a] : ( sK1_Xr @ SX0 @ SX1 )
| ~ ~ ( sK1_Xr
@ ( sK2_SY10
@ ^ [SX0: a,SX1: a] : SX0 )
@ ( sK2_SY10
@ ^ [SX0: a,SX1: a] : SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ! [SX0: a,SX1: a] : ( sK1_Xr @ SX0 @ SX1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(15,plain,
( ( ~ ~ ( sK1_Xr
@ ( sK2_SY10
@ ^ [SX0: a,SX1: a] : SX0 )
@ ( sK2_SY10
@ ^ [SX0: a,SX1: a] : SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ! [SX0: a,SX1: a] : ( sK1_Xr @ SX0 @ SX1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ( sK1_Xr
@ ( sK2_SY10
@ ^ [SX0: a,SX1: a] : SX0 )
@ ( sK2_SY10
@ ^ [SX0: a,SX1: a] : SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(18,plain,
! [SV1: a] :
( ( ! [SY20: a] : ( sK1_Xr @ SV1 @ SY20 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(19,plain,
( ( sK1_Xr
@ ( sK2_SY10
@ ^ [SX0: a,SX1: a] : SX0 )
@ ( sK2_SY10
@ ^ [SX0: a,SX1: a] : SX1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(20,plain,
! [SV2: a,SV1: a] :
( ( sK1_Xr @ SV1 @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[18]) ).
thf(21,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[19,20]) ).
thf(22,plain,
( ( ! [SY10: ( a > a > a ) > a] :
( sK1_Xr
@ ( SY10
@ ^ [Xx: a,Xy: a] : Xx )
@ ( SY10
@ ^ [Xx: a,Xy: a] : Xy ) )
& ~ ( sK1_Xr @ sK3_SY8 @ sK4_SY19 ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(23,plain,
( ( ~ ( ~ ! [SX0: ( a > a > a ) > a] :
( sK1_Xr
@ ( SX0
@ ^ [SX1: a,SX2: a] : SX1 )
@ ( SX0
@ ^ [SX1: a,SX2: a] : SX2 ) )
| ~ ~ ( sK1_Xr @ sK3_SY8 @ sK4_SY19 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(24,plain,
( ( ~ ! [SX0: ( a > a > a ) > a] :
( sK1_Xr
@ ( SX0
@ ^ [SX1: a,SX2: a] : SX1 )
@ ( SX0
@ ^ [SX1: a,SX2: a] : SX2 ) )
| ~ ~ ( sK1_Xr @ sK3_SY8 @ sK4_SY19 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[23]) ).
thf(25,plain,
( ( ~ ! [SX0: ( a > a > a ) > a] :
( sK1_Xr
@ ( SX0
@ ^ [SX1: a,SX2: a] : SX1 )
@ ( SX0
@ ^ [SX1: a,SX2: a] : SX2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(26,plain,
( ( ~ ~ ( sK1_Xr @ sK3_SY8 @ sK4_SY19 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(27,plain,
( ( ! [SX0: ( a > a > a ) > a] :
( sK1_Xr
@ ( SX0
@ ^ [SX1: a,SX2: a] : SX1 )
@ ( SX0
@ ^ [SX1: a,SX2: a] : SX2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(28,plain,
( ( ~ ( sK1_Xr @ sK3_SY8 @ sK4_SY19 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[26]) ).
thf(29,plain,
! [SV3: ( a > a > a ) > a] :
( ( sK1_Xr
@ ( SV3
@ ^ [SX1: a,SX2: a] : SX1 )
@ ( SV3
@ ^ [SX1: a,SX2: a] : SX2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(30,plain,
( ( sK1_Xr @ sK3_SY8 @ sK4_SY19 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(31,plain,
! [SV4: ( a > a > a ) > a] :
( ( sK1_Xr
@ ( SV4
@ ^ [SX0: a,SX1: a] : SX0 )
@ ( SV4
@ ^ [SX0: a,SX1: a] : SX1 ) )
= $true ),
inference(rename,[status(thm)],[29]) ).
thf(55,plain,
! [SV34: ( a > a > a ) > a] :
( ( sK1_Xr
@ ( SV34
@ ^ [SX0: a,SX1: a] : SX0 )
@ ( SV34
@ ^ [SX0: a,SX1: a] : SX1 ) )
= $true ),
inference(rename,[status(thm)],[31]) ).
thf(56,plain,
! [SV34: ( a > a > a ) > a] :
( ( ( sK1_Xr
@ ( SV34
@ ^ [SX0: a,SX1: a] : SX0 )
@ ( SV34
@ ^ [SX0: a,SX1: a] : SX1 ) )
= ( sK1_Xr @ sK3_SY8 @ sK4_SY19 ) )
= $false ),
inference(res,[status(thm)],[55,30]) ).
thf(57,plain,
$false = $true,
inference(extuni,[status(esa)],[56:[bind(SV34,$thf( ^ [SX0: a > a > a] : ( SX0 @ ( SX0 @ ( SX0 @ ( SX0 @ sK3_SY8 @ ( SV85 @ SX0 ) ) @ ( SV65 @ SX0 ) ) @ ( SV41 @ SX0 ) ) @ sK4_SY19 ) ))]]) ).
thf(58,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[57,21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12 % Problem : SEV162^5 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jun 27 17:46:55 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35
% 0.14/0.35 No.of.Axioms: 0
% 0.14/0.35
% 0.14/0.35 Length.of.Defs: 0
% 0.14/0.35
% 0.14/0.35 Contains.Choice.Funs: false
% 0.14/0.35 (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)..
% 0.39/0.58
% 0.39/0.58 ********************************
% 0.39/0.58 * All subproblems solved! *
% 0.39/0.58 ********************************
% 0.39/0.58 % SZS status Theorem for /export/starexec/sandbox/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:57,loop_count:6,foatp_calls:3,translation:fof_full)
% 0.39/0.58
% 0.39/0.58 %**** Beginning of derivation protocol ****
% 0.39/0.58 % SZS output start CNFRefutation
% See solution above
% 0.39/0.58
% 0.39/0.58 %**** End of derivation protocol ****
% 0.39/0.58 %**** no. of clauses in derivation: 35 ****
% 0.39/0.58 %**** clause counter: 57 ****
% 0.39/0.58
% 0.39/0.58 % SZS status Theorem for /export/starexec/sandbox/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:57,loop_count:6,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------