TSTP Solution File: SEV053^5 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV053^5 : 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 : n010.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 17:34:33 EDT 2022
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 29 ( 18 unt; 6 typ; 0 def)
% Number of atoms : 111 ( 28 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 206 ( 18 ~; 18 |; 7 &; 156 @)
% ( 0 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 0 ^ 50 !; 0 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_cA,type,
cA: b > a ).
thf(tp_cF,type,
cF: b > b ).
thf(tp_cL,type,
cL: a > a > $o ).
thf(tp_sK1_Y,type,
sK1_Y: b ).
thf(1,conjecture,
( ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( cL @ Xx @ Xy )
& ( cL @ Xy @ Xz ) )
=> ( cL @ Xx @ Xz ) )
& ! [X: b] : ( cL @ ( cA @ X ) @ ( cA @ ( cF @ X ) ) ) )
=> ! [Y: b] : ( cL @ ( cA @ Y ) @ ( cA @ ( cF @ ( cF @ Y ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM89B_pme) ).
thf(2,negated_conjecture,
( ( ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( cL @ Xx @ Xy )
& ( cL @ Xy @ Xz ) )
=> ( cL @ Xx @ Xz ) )
& ! [X: b] : ( cL @ ( cA @ X ) @ ( cA @ ( cF @ X ) ) ) )
=> ! [Y: b] : ( cL @ ( cA @ Y ) @ ( cA @ ( cF @ ( cF @ Y ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( cL @ Xx @ Xy )
& ( cL @ Xy @ Xz ) )
=> ( cL @ Xx @ Xz ) )
& ! [X: b] : ( cL @ ( cA @ X ) @ ( cA @ ( cF @ X ) ) ) )
=> ! [Y: b] : ( cL @ ( cA @ Y ) @ ( cA @ ( cF @ ( cF @ Y ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( cL @ Xx @ Xy )
& ( cL @ Xy @ Xz ) )
=> ( cL @ Xx @ Xz ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [X: b] : ( cL @ ( cA @ X ) @ ( cA @ ( cF @ X ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ! [Y: b] : ( cL @ ( cA @ Y ) @ ( cA @ ( cF @ ( cF @ Y ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ~ ! [Y: b] : ( cL @ ( cA @ Y ) @ ( cA @ ( cF @ ( cF @ Y ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( ~ ( cL @ ( cA @ sK1_Y ) @ ( cA @ ( cF @ ( cF @ sK1_Y ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(9,plain,
( ( ! [Xx: a,Xy: a,Xz: a] :
( ~ ( cL @ Xx @ Xy )
| ~ ( cL @ Xy @ Xz )
| ( cL @ Xx @ Xz ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(10,plain,
( ( ! [X: b] : ( cL @ ( cA @ X ) @ ( cA @ ( cF @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(11,plain,
( ( ! [Xx: a,Xy: a,Xz: a] :
( ~ ( cL @ Xx @ Xy )
| ~ ( cL @ Xy @ Xz )
| ( cL @ Xx @ Xz ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(12,plain,
( ( ~ ( cL @ ( cA @ sK1_Y ) @ ( cA @ ( cF @ ( cF @ sK1_Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(13,plain,
! [SV1: b] :
( ( cL @ ( cA @ SV1 ) @ ( cA @ ( cF @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(14,plain,
! [SV2: a] :
( ( ! [SY5: a,SY6: a] :
( ~ ( cL @ SV2 @ SY5 )
| ~ ( cL @ SY5 @ SY6 )
| ( cL @ SV2 @ SY6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(15,plain,
( ( cL @ ( cA @ sK1_Y ) @ ( cA @ ( cF @ ( cF @ sK1_Y ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(16,plain,
! [SV3: a,SV2: a] :
( ( ! [SY7: a] :
( ~ ( cL @ SV2 @ SV3 )
| ~ ( cL @ SV3 @ SY7 )
| ( cL @ SV2 @ SY7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(17,plain,
! [SV4: a,SV3: a,SV2: a] :
( ( ~ ( cL @ SV2 @ SV3 )
| ~ ( cL @ SV3 @ SV4 )
| ( cL @ SV2 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(18,plain,
! [SV4: a,SV3: a,SV2: a] :
( ( ( ~ ( cL @ SV2 @ SV3 )
| ~ ( cL @ SV3 @ SV4 ) )
= $true )
| ( ( cL @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(19,plain,
! [SV4: a,SV3: a,SV2: a] :
( ( ( ~ ( cL @ SV2 @ SV3 ) )
= $true )
| ( ( ~ ( cL @ SV3 @ SV4 ) )
= $true )
| ( ( cL @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(20,plain,
! [SV4: a,SV3: a,SV2: a] :
( ( ( cL @ SV2 @ SV3 )
= $false )
| ( ( ~ ( cL @ SV3 @ SV4 ) )
= $true )
| ( ( cL @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(21,plain,
! [SV2: a,SV4: a,SV3: a] :
( ( ( cL @ SV3 @ SV4 )
= $false )
| ( ( cL @ SV2 @ SV3 )
= $false )
| ( ( cL @ SV2 @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(22,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[13,21,15]) ).
thf(23,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV053^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n010.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 : Tue Jun 28 16:29:19 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).
% 0.13/0.37
% 0.13/0.37 ********************************
% 0.13/0.37 * All subproblems solved! *
% 0.13/0.37 ********************************
% 0.13/0.37 % 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:22,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.37
% 0.13/0.37 %**** Beginning of derivation protocol ****
% 0.13/0.37 % SZS output start CNFRefutation
% See solution above
% 0.13/0.37
% 0.13/0.37 %**** End of derivation protocol ****
% 0.13/0.37 %**** no. of clauses in derivation: 23 ****
% 0.13/0.37 %**** clause counter: 22 ****
% 0.13/0.37
% 0.13/0.37 % 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:22,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------