TSTP Solution File: SYO102^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO102^5 : 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 : n024.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 : Thu Jul 21 17:32:11 EDT 2022
% Result : Theorem 0.19s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 38 ( 29 unt; 4 typ; 0 def)
% Number of atoms : 165 ( 39 equ; 0 cnn)
% Maximal formula atoms : 7 ( 4 avg)
% Number of connectives : 268 ( 45 ~; 25 |; 16 &; 170 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 5 con; 0-2 aty)
% Number of variables : 60 ( 0 ^ 60 !; 0 ?; 60 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cP,type,
cP: $i > $i > $o ).
thf(tp_sK1_Xu,type,
sK1_Xu: $i ).
thf(tp_sK2_SY7,type,
sK2_SY7: $i ).
thf(tp_sK3_SY9,type,
sK3_SY9: $i ).
thf(1,conjecture,
( ( ! [Xx: $i] : ( cP @ Xx @ Xx )
& ! [Xx: $i,Xy: $i,Xz: $i] :
( ( ( cP @ Xx @ Xy )
& ( cP @ Xz @ Xy ) )
=> ( cP @ Xx @ Xz ) ) )
=> ! [Xu: $i,Xv: $i,Xw: $i] :
( ( ( cP @ Xu @ Xv )
& ( cP @ Xv @ Xw ) )
=> ( cP @ Xu @ Xw ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM101) ).
thf(2,negated_conjecture,
( ( ( ! [Xx: $i] : ( cP @ Xx @ Xx )
& ! [Xx: $i,Xy: $i,Xz: $i] :
( ( ( cP @ Xx @ Xy )
& ( cP @ Xz @ Xy ) )
=> ( cP @ Xx @ Xz ) ) )
=> ! [Xu: $i,Xv: $i,Xw: $i] :
( ( ( cP @ Xu @ Xv )
& ( cP @ Xv @ Xw ) )
=> ( cP @ Xu @ Xw ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ! [Xx: $i] : ( cP @ Xx @ Xx )
& ! [Xx: $i,Xy: $i,Xz: $i] :
( ( ( cP @ Xx @ Xy )
& ( cP @ Xz @ Xy ) )
=> ( cP @ Xx @ Xz ) ) )
=> ! [Xu: $i,Xv: $i,Xw: $i] :
( ( ( cP @ Xu @ Xv )
& ( cP @ Xv @ Xw ) )
=> ( cP @ Xu @ Xw ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Xx: $i] : ( cP @ Xx @ Xx ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ( ( cP @ Xx @ Xy )
& ( cP @ Xz @ Xy ) )
=> ( cP @ Xx @ Xz ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [Xu: $i,Xv: $i,Xw: $i] :
( ( ( cP @ Xu @ Xv )
& ( cP @ Xv @ Xw ) )
=> ( cP @ Xu @ Xw ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ~ ! [Xu: $i,Xv: $i,Xw: $i] :
( ( ( cP @ Xu @ Xv )
& ( cP @ Xv @ Xw ) )
=> ( cP @ Xu @ Xw ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( ( cP @ sK1_Xu @ sK2_SY7 )
& ( cP @ sK2_SY7 @ sK3_SY9 )
& ~ ( cP @ sK1_Xu @ sK3_SY9 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(9,plain,
( ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ~ ( cP @ Xx @ Xy )
| ~ ( cP @ Xz @ Xy )
| ( cP @ Xx @ Xz ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(10,plain,
( ( ! [Xx: $i,Xy: $i,Xz: $i] :
( ~ ( cP @ Xx @ Xy )
| ~ ( cP @ Xz @ Xy )
| ( cP @ Xx @ Xz ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(11,plain,
( ( ! [Xx: $i] : ( cP @ Xx @ Xx ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(12,plain,
( ( ( cP @ sK1_Xu @ sK2_SY7 )
& ( cP @ sK2_SY7 @ sK3_SY9 )
& ~ ( cP @ sK1_Xu @ sK3_SY9 ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(13,plain,
( ( ~ ( ~ ~ ( ~ ( cP @ sK1_Xu @ sK2_SY7 )
| ~ ( cP @ sK2_SY7 @ sK3_SY9 ) )
| ~ ~ ( cP @ sK1_Xu @ sK3_SY9 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(14,plain,
! [SV1: $i] :
( ( ! [SY10: $i,SY11: $i] :
( ~ ( cP @ SV1 @ SY10 )
| ~ ( cP @ SY11 @ SY10 )
| ( cP @ SV1 @ SY11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(15,plain,
! [SV2: $i] :
( ( cP @ SV2 @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(16,plain,
( ( ~ ~ ( ~ ( cP @ sK1_Xu @ sK2_SY7 )
| ~ ( cP @ sK2_SY7 @ sK3_SY9 ) )
| ~ ~ ( cP @ sK1_Xu @ sK3_SY9 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(17,plain,
! [SV3: $i,SV1: $i] :
( ( ! [SY12: $i] :
( ~ ( cP @ SV1 @ SV3 )
| ~ ( cP @ SY12 @ SV3 )
| ( cP @ SV1 @ SY12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(18,plain,
( ( ~ ~ ( ~ ( cP @ sK1_Xu @ sK2_SY7 )
| ~ ( cP @ sK2_SY7 @ sK3_SY9 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ~ ( cP @ sK1_Xu @ sK3_SY9 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(20,plain,
! [SV4: $i,SV3: $i,SV1: $i] :
( ( ~ ( cP @ SV1 @ SV3 )
| ~ ( cP @ SV4 @ SV3 )
| ( cP @ SV1 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(21,plain,
( ( ~ ( ~ ( cP @ sK1_Xu @ sK2_SY7 )
| ~ ( cP @ sK2_SY7 @ sK3_SY9 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ( cP @ sK1_Xu @ sK3_SY9 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(23,plain,
! [SV4: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( cP @ SV1 @ SV3 )
| ~ ( cP @ SV4 @ SV3 ) )
= $true )
| ( ( cP @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(24,plain,
( ( ~ ( cP @ sK1_Xu @ sK2_SY7 )
| ~ ( cP @ sK2_SY7 @ sK3_SY9 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(25,plain,
( ( cP @ sK1_Xu @ sK3_SY9 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(26,plain,
! [SV4: $i,SV3: $i,SV1: $i] :
( ( ( ~ ( cP @ SV1 @ SV3 ) )
= $true )
| ( ( ~ ( cP @ SV4 @ SV3 ) )
= $true )
| ( ( cP @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(27,plain,
( ( ~ ( cP @ sK1_Xu @ sK2_SY7 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ( cP @ sK2_SY7 @ sK3_SY9 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[24]) ).
thf(29,plain,
! [SV4: $i,SV3: $i,SV1: $i] :
( ( ( cP @ SV1 @ SV3 )
= $false )
| ( ( ~ ( cP @ SV4 @ SV3 ) )
= $true )
| ( ( cP @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(30,plain,
( ( cP @ sK1_Xu @ sK2_SY7 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(31,plain,
( ( cP @ sK2_SY7 @ sK3_SY9 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(32,plain,
! [SV1: $i,SV3: $i,SV4: $i] :
( ( ( cP @ SV4 @ SV3 )
= $false )
| ( ( cP @ SV1 @ SV3 )
= $false )
| ( ( cP @ SV1 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(33,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[15,32,31,30,25]) ).
thf(34,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYO102^5 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jul 9 00:57:28 EDT 2022
% 0.13/0.33 % 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
% 0.19/0.34 (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).
% 0.19/0.37
% 0.19/0.37 ********************************
% 0.19/0.37 * All subproblems solved! *
% 0.19/0.37 ********************************
% 0.19/0.37 % 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:33,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.37
% 0.19/0.37 %**** Beginning of derivation protocol ****
% 0.19/0.37 % SZS output start CNFRefutation
% See solution above
% 0.19/0.37
% 0.19/0.37 %**** End of derivation protocol ****
% 0.19/0.37 %**** no. of clauses in derivation: 34 ****
% 0.19/0.37 %**** clause counter: 33 ****
% 0.19/0.37
% 0.19/0.37 % 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:33,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------