TSTP Solution File: SEV134^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV134^5 : 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 17:35:14 EDT 2022
% Result : Theorem 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 18 unt; 4 typ; 0 def)
% Number of atoms : 98 ( 28 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 135 ( 15 ~; 16 |; 7 &; 78 @)
% ( 0 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 42 ( 0 ^ 42 !; 0 ?; 42 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_Xr,type,
sK1_Xr: a > a > $o ).
thf(tp_sK2_SY5,type,
sK2_SY5: a ).
thf(tp_sK3_SY9,type,
sK3_SY9: a > $o ).
thf(1,conjecture,
! [Xr: a > a > $o,Xx: a,Xx0: a > $o] :
( ! [Xy: a,Xz: a] :
( ( ( Xr @ Xy @ Xz )
& ( Xx0 @ Xy ) )
=> ( Xx0 @ Xz ) )
=> ( ( Xx0 @ Xx )
=> ( Xx0 @ Xx ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM201_pme) ).
thf(2,negated_conjecture,
( ( ! [Xr: a > a > $o,Xx: a,Xx0: a > $o] :
( ! [Xy: a,Xz: a] :
( ( ( Xr @ Xy @ Xz )
& ( Xx0 @ Xy ) )
=> ( Xx0 @ Xz ) )
=> ( ( Xx0 @ Xx )
=> ( Xx0 @ Xx ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xr: a > a > $o,Xx: a,Xx0: a > $o] :
( ! [Xy: a,Xz: a] :
( ( ( Xr @ Xy @ Xz )
& ( Xx0 @ Xy ) )
=> ( Xx0 @ Xz ) )
=> ( ( Xx0 @ Xx )
=> ( Xx0 @ Xx ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY5: a,SY6: a > $o] :
( ! [SY7: a,SY8: a] :
( ( ( sK1_Xr @ SY7 @ SY8 )
& ( SY6 @ SY7 ) )
=> ( SY6 @ SY8 ) )
=> ( ( SY6 @ SY5 )
=> ( SY6 @ SY5 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY9: a > $o] :
( ! [SY7: a,SY8: a] :
( ( ( sK1_Xr @ SY7 @ SY8 )
& ( SY9 @ SY7 ) )
=> ( SY9 @ SY8 ) )
=> ( ( SY9 @ sK2_SY5 )
=> ( SY9 @ sK2_SY5 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY12: a,SY13: a] :
( ( ( sK1_Xr @ SY12 @ SY13 )
& ( sK3_SY9 @ SY12 ) )
=> ( sK3_SY9 @ SY13 ) )
=> ( ( sK3_SY9 @ sK2_SY5 )
=> ( sK3_SY9 @ sK2_SY5 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY12: a,SY13: a] :
( ( ( sK1_Xr @ SY12 @ SY13 )
& ( sK3_SY9 @ SY12 ) )
=> ( sK3_SY9 @ SY13 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(8,plain,
( ( sK3_SY9 @ sK2_SY5 )
= $true ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(9,plain,
( ( sK3_SY9 @ sK2_SY5 )
= $false ),
inference(standard_cnf,[status(thm)],[6]) ).
thf(10,plain,
( ( ~ ( sK3_SY9 @ sK2_SY5 ) )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [SY12: a,SY13: a] :
( ~ ( sK1_Xr @ SY12 @ SY13 )
| ~ ( sK3_SY9 @ SY12 )
| ( sK3_SY9 @ SY13 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(12,plain,
( ( sK3_SY9 @ sK2_SY5 )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(13,plain,
( ( ! [SY12: a,SY13: a] :
( ~ ( sK1_Xr @ SY12 @ SY13 )
| ~ ( sK3_SY9 @ SY12 )
| ( sK3_SY9 @ SY13 ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ( sK3_SY9 @ sK2_SY5 ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(15,plain,
! [SV1: a] :
( ( ! [SY14: a] :
( ~ ( sK1_Xr @ SV1 @ SY14 )
| ~ ( sK3_SY9 @ SV1 )
| ( sK3_SY9 @ SY14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(16,plain,
( ( sK3_SY9 @ sK2_SY5 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[14]) ).
thf(17,plain,
! [SV2: a,SV1: a] :
( ( ~ ( sK1_Xr @ SV1 @ SV2 )
| ~ ( sK3_SY9 @ SV1 )
| ( sK3_SY9 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(18,plain,
! [SV2: a,SV1: a] :
( ( ( ~ ( sK1_Xr @ SV1 @ SV2 )
| ~ ( sK3_SY9 @ SV1 ) )
= $true )
| ( ( sK3_SY9 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(19,plain,
! [SV2: a,SV1: a] :
( ( ( ~ ( sK1_Xr @ SV1 @ SV2 ) )
= $true )
| ( ( ~ ( sK3_SY9 @ SV1 ) )
= $true )
| ( ( sK3_SY9 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(20,plain,
! [SV2: a,SV1: a] :
( ( ( sK1_Xr @ SV1 @ SV2 )
= $false )
| ( ( ~ ( sK3_SY9 @ SV1 ) )
= $true )
| ( ( sK3_SY9 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(21,plain,
! [SV2: a,SV1: a] :
( ( ( sK3_SY9 @ SV1 )
= $false )
| ( ( sK1_Xr @ SV1 @ SV2 )
= $false )
| ( ( sK3_SY9 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(22,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[12,21,16]) ).
thf(23,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEV134^5 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % 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 : Tue Jun 28 07:48:56 EDT 2022
% 0.14/0.35 % 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)
% 0.14/0.38 ********************************
% 0.14/0.38 * All subproblems solved! *
% 0.14/0.38 ********************************
% 0.14/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:22,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.14/0.38
% 0.14/0.38 %**** Beginning of derivation protocol ****
% 0.14/0.38 % SZS output start CNFRefutation
% See solution above
% 0.14/0.38
% 0.14/0.38 %**** End of derivation protocol ****
% 0.14/0.38 %**** no. of clauses in derivation: 23 ****
% 0.14/0.38 %**** clause counter: 22 ****
% 0.14/0.38
% 0.14/0.38 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:22,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------