TSTP Solution File: SEV240^5 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEV240^5 : 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 17:35:50 EDT 2022
% Result : Theorem 0.14s 0.36s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 18 unt; 4 typ; 0 def)
% Number of atoms : 82 ( 23 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 105 ( 25 ~; 12 |; 8 &; 50 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 22 ( 22 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 25 ( 0 ^ 19 !; 6 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_cA,type,
cA: ( a > $o ) > $o ).
thf(tp_sK1_Xx,type,
sK1_Xx: a > $o ).
thf(tp_sK2_SY3,type,
sK2_SY3: a ).
thf(1,conjecture,
! [Xx: a > $o] :
( ( cA @ Xx )
=> ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ? [S: a > $o] :
( ( cA @ S )
& ( S @ Xx0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cDOMTHM1_pme) ).
thf(2,negated_conjecture,
( ( ! [Xx: a > $o] :
( ( cA @ Xx )
=> ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ? [S: a > $o] :
( ( cA @ S )
& ( S @ Xx0 ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xx: a > $o] :
( ( cA @ Xx )
=> ! [Xx0: a] :
( ( Xx @ Xx0 )
=> ? [S: a > $o] :
( ( cA @ S )
& ( S @ Xx0 ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( cA @ sK1_Xx )
=> ! [SY3: a] :
( ( sK1_Xx @ SY3 )
=> ? [S: a > $o] :
( ( cA @ S )
& ( S @ SY3 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( cA @ sK1_Xx )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [SY3: a] :
( ( sK1_Xx @ SY3 )
=> ? [S: a > $o] :
( ( cA @ S )
& ( S @ SY3 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(7,plain,
( ( ~ ! [SY3: a] :
( ( sK1_Xx @ SY3 )
=> ? [S: a > $o] :
( ( cA @ S )
& ( S @ SY3 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( ( sK1_Xx @ sK2_SY3 )
& ! [SY5: a > $o] :
( ~ ( SY5 @ sK2_SY3 )
| ~ ( cA @ SY5 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(9,plain,
( ( cA @ sK1_Xx )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(10,plain,
( ( ( sK1_Xx @ sK2_SY3 )
& ! [SY5: a > $o] :
( ~ ( SY5 @ sK2_SY3 )
| ~ ( cA @ SY5 ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ( ~ ( sK1_Xx @ sK2_SY3 )
| ~ ! [SX0: a > $o] :
( ~ ( SX0 @ sK2_SY3 )
| ~ ( cA @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(12,plain,
( ( ~ ( sK1_Xx @ sK2_SY3 )
| ~ ! [SX0: a > $o] :
( ~ ( SX0 @ sK2_SY3 )
| ~ ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(13,plain,
( ( ~ ( sK1_Xx @ sK2_SY3 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ! [SX0: a > $o] :
( ~ ( SX0 @ sK2_SY3 )
| ~ ( cA @ SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( sK1_Xx @ sK2_SY3 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ! [SX0: a > $o] :
( ~ ( SX0 @ sK2_SY3 )
| ~ ( cA @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
! [SV1: a > $o] :
( ( ~ ( SV1 @ sK2_SY3 )
| ~ ( cA @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(18,plain,
! [SV1: a > $o] :
( ( ( ~ ( SV1 @ sK2_SY3 ) )
= $true )
| ( ( ~ ( cA @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[17]) ).
thf(19,plain,
! [SV1: a > $o] :
( ( ( SV1 @ sK2_SY3 )
= $false )
| ( ( ~ ( cA @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(20,plain,
! [SV1: a > $o] :
( ( ( cA @ SV1 )
= $false )
| ( ( SV1 @ sK2_SY3 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(21,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[9,20,15]) ).
thf(22,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEV240^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.33 % Computer : n021.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Tue Jun 28 06:30:56 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.14/0.34
% 0.14/0.34 No.of.Axioms: 0
% 0.14/0.34
% 0.14/0.34 Length.of.Defs: 0
% 0.14/0.34
% 0.14/0.34 Contains.Choice.Funs: false
% 0.14/0.34 (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)
% 0.14/0.36 ********************************
% 0.14/0.36 * All subproblems solved! *
% 0.14/0.36 ********************************
% 0.14/0.36 % SZS status Theorem for /export/starexec/sandbox2/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:21,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.14/0.36
% 0.14/0.36 %**** Beginning of derivation protocol ****
% 0.14/0.36 % SZS output start CNFRefutation
% See solution above
% 0.14/0.36
% 0.14/0.36 %**** End of derivation protocol ****
% 0.14/0.36 %**** no. of clauses in derivation: 22 ****
% 0.14/0.36 %**** clause counter: 21 ****
% 0.14/0.36
% 0.14/0.36 % SZS status Theorem for /export/starexec/sandbox2/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:21,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------