TSTP Solution File: SEV135^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV135^5 : 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 : n019.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 17:35:14 EDT 2022
% Result : Theorem 0.19s 0.38s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 6
% Syntax : Number of formulae : 40 ( 28 unt; 5 typ; 0 def)
% Number of atoms : 177 ( 42 equ; 0 cnn)
% Maximal formula atoms : 3 ( 5 avg)
% Number of connectives : 350 ( 68 ~; 49 |; 20 &; 183 @)
% ( 0 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 17 ( 17 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 86 ( 0 ^ 86 !; 0 ?; 86 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_Xr,type,
sK1_Xr: a > a > $o ).
thf(tp_sK2_SY7,type,
sK2_SY7: a ).
thf(tp_sK3_SY13,type,
sK3_SY13: a ).
thf(tp_sK4_SY18,type,
sK4_SY18: a > $o ).
thf(1,conjecture,
! [Xr: a > a > $o,Xx: a,Xy: a] :
( ( Xr @ Xx @ Xy )
=> ! [Xq: a > $o] :
( ( ! [Xw: a] :
( ( Xr @ Xx @ Xw )
=> ( Xq @ Xw ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq @ Xu )
& ( Xr @ Xu @ Xv ) )
=> ( Xq @ Xv ) ) )
=> ( Xq @ Xy ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM151_pme) ).
thf(2,negated_conjecture,
( ( ! [Xr: a > a > $o,Xx: a,Xy: a] :
( ( Xr @ Xx @ Xy )
=> ! [Xq: a > $o] :
( ( ! [Xw: a] :
( ( Xr @ Xx @ Xw )
=> ( Xq @ Xw ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq @ Xu )
& ( Xr @ Xu @ Xv ) )
=> ( Xq @ Xv ) ) )
=> ( Xq @ Xy ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xr: a > a > $o,Xx: a,Xy: a] :
( ( Xr @ Xx @ Xy )
=> ! [Xq: a > $o] :
( ( ! [Xw: a] :
( ( Xr @ Xx @ Xw )
=> ( Xq @ Xw ) )
& ! [Xu: a,Xv: a] :
( ( ( Xq @ Xu )
& ( Xr @ Xu @ Xv ) )
=> ( Xq @ Xv ) ) )
=> ( Xq @ Xy ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY7: a,SY8: a] :
( ( sK1_Xr @ SY7 @ SY8 )
=> ! [SY9: a > $o] :
( ( ! [SY10: a] :
( ( sK1_Xr @ SY7 @ SY10 )
=> ( SY9 @ SY10 ) )
& ! [SY11: a,SY12: a] :
( ( ( SY9 @ SY11 )
& ( sK1_Xr @ SY11 @ SY12 ) )
=> ( SY9 @ SY12 ) ) )
=> ( SY9 @ SY8 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY13: a] :
( ( sK1_Xr @ sK2_SY7 @ SY13 )
=> ! [SY14: a > $o] :
( ( ! [SY15: a] :
( ( sK1_Xr @ sK2_SY7 @ SY15 )
=> ( SY14 @ SY15 ) )
& ! [SY11: a,SY12: a] :
( ( ( SY14 @ SY11 )
& ( sK1_Xr @ SY11 @ SY12 ) )
=> ( SY14 @ SY12 ) ) )
=> ( SY14 @ SY13 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ( sK1_Xr @ sK2_SY7 @ sK3_SY13 )
=> ! [SY18: a > $o] :
( ( ! [SY15: a] :
( ( sK1_Xr @ sK2_SY7 @ SY15 )
=> ( SY18 @ SY15 ) )
& ! [SY11: a,SY12: a] :
( ( ( SY18 @ SY11 )
& ( sK1_Xr @ SY11 @ SY12 ) )
=> ( SY18 @ SY12 ) ) )
=> ( SY18 @ sK3_SY13 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( sK1_Xr @ sK2_SY7 @ sK3_SY13 )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SY18: a > $o] :
( ( ! [SY15: a] :
( ( sK1_Xr @ sK2_SY7 @ SY15 )
=> ( SY18 @ SY15 ) )
& ! [SY11: a,SY12: a] :
( ( ( SY18 @ SY11 )
& ( sK1_Xr @ SY11 @ SY12 ) )
=> ( SY18 @ SY12 ) ) )
=> ( SY18 @ sK3_SY13 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(9,plain,
( ( ~ ! [SY18: a > $o] :
( ( ! [SY15: a] :
( ( sK1_Xr @ sK2_SY7 @ SY15 )
=> ( SY18 @ SY15 ) )
& ! [SY11: a,SY12: a] :
( ( ( SY18 @ SY11 )
& ( sK1_Xr @ SY11 @ SY12 ) )
=> ( SY18 @ SY12 ) ) )
=> ( SY18 @ sK3_SY13 ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [SY22: a] :
( ~ ( sK1_Xr @ sK2_SY7 @ SY22 )
| ( sK4_SY18 @ SY22 ) )
& ! [SY23: a,SY24: a] :
( ~ ( sK4_SY18 @ SY23 )
| ~ ( sK1_Xr @ SY23 @ SY24 )
| ( sK4_SY18 @ SY24 ) )
& ~ ( sK4_SY18 @ sK3_SY13 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(11,plain,
( ( sK1_Xr @ sK2_SY7 @ sK3_SY13 )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(12,plain,
( ( ! [SY22: a] :
( ~ ( sK1_Xr @ sK2_SY7 @ SY22 )
| ( sK4_SY18 @ SY22 ) )
& ! [SY23: a,SY24: a] :
( ~ ( sK4_SY18 @ SY23 )
| ~ ( sK1_Xr @ SY23 @ SY24 )
| ( sK4_SY18 @ SY24 ) )
& ~ ( sK4_SY18 @ sK3_SY13 ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a] :
( ~ ( sK1_Xr @ sK2_SY7 @ SX0 )
| ( sK4_SY18 @ SX0 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK4_SY18 @ SX0 )
| ~ ( sK1_Xr @ SX0 @ SX1 )
| ( sK4_SY18 @ SX1 ) ) )
| ~ ~ ( sK4_SY18 @ sK3_SY13 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ~ ( sK1_Xr @ sK2_SY7 @ SX0 )
| ( sK4_SY18 @ SX0 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK4_SY18 @ SX0 )
| ~ ( sK1_Xr @ SX0 @ SX1 )
| ( sK4_SY18 @ SX1 ) ) )
| ~ ~ ( sK4_SY18 @ sK3_SY13 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(15,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ~ ( sK1_Xr @ sK2_SY7 @ SX0 )
| ( sK4_SY18 @ SX0 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK4_SY18 @ SX0 )
| ~ ( sK1_Xr @ SX0 @ SX1 )
| ( sK4_SY18 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(16,plain,
( ( ~ ~ ( sK4_SY18 @ sK3_SY13 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ( ~ ! [SX0: a] :
( ~ ( sK1_Xr @ sK2_SY7 @ SX0 )
| ( sK4_SY18 @ SX0 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK4_SY18 @ SX0 )
| ~ ( sK1_Xr @ SX0 @ SX1 )
| ( sK4_SY18 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ( sK4_SY18 @ sK3_SY13 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_Xr @ sK2_SY7 @ SX0 )
| ( sK4_SY18 @ SX0 ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK4_SY18 @ SX0 )
| ~ ( sK1_Xr @ SX0 @ SX1 )
| ( sK4_SY18 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(20,plain,
( ( sK4_SY18 @ sK3_SY13 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(21,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_Xr @ sK2_SY7 @ SX0 )
| ( sK4_SY18 @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(22,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK4_SY18 @ SX0 )
| ~ ( sK1_Xr @ SX0 @ SX1 )
| ( sK4_SY18 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[19]) ).
thf(23,plain,
( ( ! [SX0: a] :
( ~ ( sK1_Xr @ sK2_SY7 @ SX0 )
| ( sK4_SY18 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(24,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK4_SY18 @ SX0 )
| ~ ( sK1_Xr @ SX0 @ SX1 )
| ( sK4_SY18 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(25,plain,
! [SV1: a] :
( ( ~ ( sK1_Xr @ sK2_SY7 @ SV1 )
| ( sK4_SY18 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(26,plain,
! [SV2: a] :
( ( ! [SY25: a] :
( ~ ( sK4_SY18 @ SV2 )
| ~ ( sK1_Xr @ SV2 @ SY25 )
| ( sK4_SY18 @ SY25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(27,plain,
! [SV1: a] :
( ( ( ~ ( sK1_Xr @ sK2_SY7 @ SV1 ) )
= $true )
| ( ( sK4_SY18 @ SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(28,plain,
! [SV3: a,SV2: a] :
( ( ~ ( sK4_SY18 @ SV2 )
| ~ ( sK1_Xr @ SV2 @ SV3 )
| ( sK4_SY18 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(29,plain,
! [SV1: a] :
( ( ( sK1_Xr @ sK2_SY7 @ SV1 )
= $false )
| ( ( sK4_SY18 @ SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(30,plain,
! [SV3: a,SV2: a] :
( ( ( ~ ( sK4_SY18 @ SV2 )
| ~ ( sK1_Xr @ SV2 @ SV3 ) )
= $true )
| ( ( sK4_SY18 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(31,plain,
! [SV3: a,SV2: a] :
( ( ( ~ ( sK4_SY18 @ SV2 ) )
= $true )
| ( ( ~ ( sK1_Xr @ SV2 @ SV3 ) )
= $true )
| ( ( sK4_SY18 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[30]) ).
thf(32,plain,
! [SV3: a,SV2: a] :
( ( ( sK4_SY18 @ SV2 )
= $false )
| ( ( ~ ( sK1_Xr @ SV2 @ SV3 ) )
= $true )
| ( ( sK4_SY18 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(33,plain,
! [SV3: a,SV2: a] :
( ( ( sK1_Xr @ SV2 @ SV3 )
= $false )
| ( ( sK4_SY18 @ SV2 )
= $false )
| ( ( sK4_SY18 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(34,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,33,29,20]) ).
thf(35,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEV135^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 28 06:05:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 0
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 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)..
% 0.19/0.38
% 0.19/0.38 ********************************
% 0.19/0.38 * All subproblems solved! *
% 0.19/0.38 ********************************
% 0.19/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:34,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.38
% 0.19/0.38 %**** Beginning of derivation protocol ****
% 0.19/0.38 % SZS output start CNFRefutation
% See solution above
% 0.19/0.38
% 0.19/0.38 %**** End of derivation protocol ****
% 0.19/0.38 %**** no. of clauses in derivation: 35 ****
% 0.19/0.38 %**** clause counter: 34 ****
% 0.19/0.38
% 0.19/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:34,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------