TSTP Solution File: SEV049^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV049^5 : 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 : n018.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 17:34:31 EDT 2022
% Result : Theorem 0.46s 0.70s
% Output : CNFRefutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 48
% Syntax : Number of formulae : 65 ( 9 unt; 47 typ; 0 def)
% Number of atoms : 134 ( 24 equ; 0 cnn)
% Maximal formula atoms : 2 ( 7 avg)
% Number of connectives : 241 ( 44 ~; 23 |; 12 &; 158 @)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 103 ( 103 >; 0 *; 0 +; 0 <<)
% Number of symbols : 50 ( 47 usr; 33 con; 0-2 aty)
% Number of variables : 57 ( 30 ^ 23 !; 4 ?; 57 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK10_SV66,type,
sK10_SV66: $i ).
thf(tp_sK11_SV67,type,
sK11_SV67: $i > $i ).
thf(tp_sK12_SV68,type,
sK12_SV68: $i ).
thf(tp_sK13_SV69,type,
sK13_SV69: $i ).
thf(tp_sK14_SV70,type,
sK14_SV70: $i ).
thf(tp_sK15_SV71,type,
sK15_SV71: $i ).
thf(tp_sK16_SV72,type,
sK16_SV72: $i ).
thf(tp_sK17_SV73,type,
sK17_SV73: $i ).
thf(tp_sK18_SV74,type,
sK18_SV74: $i > $i ).
thf(tp_sK19_SV75,type,
sK19_SV75: $i > $i ).
thf(tp_sK1_Xx,type,
sK1_Xx: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK20_SV76,type,
sK20_SV76: $i > $i ).
thf(tp_sK21_SV77,type,
sK21_SV77: $i > $i ).
thf(tp_sK22_E,type,
sK22_E: $i > $i ).
thf(tp_sK23_E,type,
sK23_E: $i > $i ).
thf(tp_sK24_E,type,
sK24_E: $i > $i ).
thf(tp_sK25_E,type,
sK25_E: $i > $i ).
thf(tp_sK26_E,type,
sK26_E: $i > $i ).
thf(tp_sK27_E,type,
sK27_E: $i > $i ).
thf(tp_sK28_E,type,
sK28_E: $i > $i ).
thf(tp_sK29_E,type,
sK29_E: $i > $i ).
thf(tp_sK2_SY6,type,
sK2_SY6: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK30_E,type,
sK30_E: $i ).
thf(tp_sK31_E,type,
sK31_E: $i ).
thf(tp_sK32_E,type,
sK32_E: $i ).
thf(tp_sK33_E,type,
sK33_E: $i ).
thf(tp_sK34_E,type,
sK34_E: $i ).
thf(tp_sK35_E,type,
sK35_E: $i ).
thf(tp_sK36_E,type,
sK36_E: $i ).
thf(tp_sK37_E,type,
sK37_E: $i ).
thf(tp_sK38_E,type,
sK38_E: $i ).
thf(tp_sK39_E,type,
sK39_E: $i ).
thf(tp_sK3_SY8,type,
sK3_SY8: ( ( $i > $o ) > ( $i > $o ) > $o ) > $i > $o ).
thf(tp_sK40_E,type,
sK40_E: $i ).
thf(tp_sK41_E,type,
sK41_E: $i ).
thf(tp_sK42_E,type,
sK42_E: $i ).
thf(tp_sK43_E,type,
sK43_E: $i ).
thf(tp_sK44_E,type,
sK44_E: $i ).
thf(tp_sK45_E,type,
sK45_E: $i ).
thf(tp_sK46_E,type,
sK46_E: $i ).
thf(tp_sK47_E,type,
sK47_E: $i ).
thf(tp_sK4_SV58,type,
sK4_SV58: $i ).
thf(tp_sK5_SV59,type,
sK5_SV59: $i ).
thf(tp_sK6_SV61,type,
sK6_SV61: $i ).
thf(tp_sK7_SV62,type,
sK7_SV62: $i ).
thf(tp_sK8_SV64,type,
sK8_SV64: $i ).
thf(tp_sK9_SV65,type,
sK9_SV65: $i ).
thf(1,conjecture,
? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM120A_pme) ).
thf(2,negated_conjecture,
( ( ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ~ ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ~ ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
& ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
( ( ( R @ Xx @ Xy )
& ( R @ Xy @ Xz ) )
=> ( R @ Xx @ Xz ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
| ( ( R @ ( sK1_Xx @ R ) @ ( sK2_SY6 @ R ) )
& ( R @ ( sK2_SY6 @ R ) @ ( sK3_SY8 @ R ) )
& ~ ( R @ ( sK1_Xx @ R ) @ ( sK3_SY8 @ R ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [R: ( $i > $o ) > ( $i > $o ) > $o] :
( ( R
@ ^ [Xx: $i] : $true
@ ^ [Xx: $i] : $false )
| ( ( R @ ( sK1_Xx @ R ) @ ( sK2_SY6 @ R ) )
& ( R @ ( sK2_SY6 @ R ) @ ( sK3_SY8 @ R ) )
& ~ ( R @ ( sK1_Xx @ R ) @ ( sK3_SY8 @ R ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SX0: ( $i > $o ) > ( $i > $o ) > $o] :
( ( SX0
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ( ~ ~ ( ~ ( SX0 @ ( sK1_Xx @ SX0 ) @ ( sK2_SY6 @ SX0 ) )
| ~ ( SX0 @ ( sK2_SY6 @ SX0 ) @ ( sK3_SY8 @ SX0 ) ) )
| ~ ~ ( SX0 @ ( sK1_Xx @ SX0 ) @ ( sK3_SY8 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
| ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY6 @ SV1 ) )
| ~ ( SV1 @ ( sK2_SY6 @ SV1 ) @ ( sK3_SY8 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY8 @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7]) ).
thf(9,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true )
| ( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY6 @ SV1 ) )
| ~ ( SV1 @ ( sK2_SY6 @ SV1 ) @ ( sK3_SY8 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY8 @ SV1 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[8]) ).
thf(10,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY6 @ SV1 ) )
| ~ ( SV1 @ ( sK2_SY6 @ SV1 ) @ ( sK3_SY8 @ SV1 ) ) )
| ~ ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK3_SY8 @ SV1 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9]) ).
thf(11,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY6 @ SV1 ) )
| ~ ( SV1 @ ( sK2_SY6 @ SV1 ) @ ( sK3_SY8 @ SV1 ) ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10]) ).
thf(13,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY6 @ SV1 ) )
| ~ ( SV1 @ ( sK2_SY6 @ SV1 ) @ ( sK3_SY8 @ SV1 ) ) ) )
= $true )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[11]) ).
thf(15,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY6 @ SV1 ) )
| ~ ( SV1 @ ( sK2_SY6 @ SV1 ) @ ( sK3_SY8 @ SV1 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(17,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( ~ ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY6 @ SV1 ) ) )
= $false )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(19,plain,
! [SV1: ( $i > $o ) > ( $i > $o ) > $o] :
( ( ( SV1 @ ( sK1_Xx @ SV1 ) @ ( sK2_SY6 @ SV1 ) )
= $true )
| ( ( SV1
@ ^ [SX1: $i] : $true
@ ^ [SX1: $i] : $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(27,plain,
( ( $false = $true )
| ( $false = $true ) ),
inference(prim_subst,[status(thm)],[19:[bind(SV1,$thf( ^ [SV5: $i > $o] : ^ [SV6: $i > $o] : $false ))]]) ).
thf(587,plain,
$false = $true,
inference(sim,[status(thm)],[27]) ).
thf(588,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[587]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEV049^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jun 27 19:26:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34
% 0.13/0.34 No.of.Axioms: 0
% 0.13/0.34
% 0.13/0.34 Length.of.Defs: 0
% 0.13/0.34
% 0.13/0.34 Contains.Choice.Funs: false
% 0.13/0.34 (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)........
% 0.46/0.70
% 0.46/0.70 ********************************
% 0.46/0.70 * All subproblems solved! *
% 0.46/0.70 ********************************
% 0.46/0.70 % 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:587,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.46/0.70
% 0.46/0.70 %**** Beginning of derivation protocol ****
% 0.46/0.70 % SZS output start CNFRefutation
% See solution above
% 0.46/0.70
% 0.46/0.70 %**** End of derivation protocol ****
% 0.46/0.70 %**** no. of clauses in derivation: 18 ****
% 0.46/0.70 %**** clause counter: 587 ****
% 0.46/0.70
% 0.46/0.70 % 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:587,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------