TSTP Solution File: SYO308^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO308^5 : 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 : n025.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 17:33:17 EDT 2022
% Result : Theorem 0.19s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 25 unt; 4 typ; 0 def)
% Number of atoms : 183 ( 45 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 224 ( 55 ~; 45 |; 4 &; 100 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 6 ( 6 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 0 ^ 37 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cA,type,
cA: $i > $o ).
thf(tp_cB,type,
cB: $i > $o ).
thf(tp_sK1_Z1,type,
sK1_Z1: $i > $o ).
thf(tp_sK2_SY6,type,
sK2_SY6: $i ).
thf(1,conjecture,
! [Z1: $i > $o] :
( ( ! [Z3: $i] :
( ( Z1 @ Z3 )
=> ( cA @ Z3 ) )
| ! [Z4: $i] :
( ( Z1 @ Z4 )
=> ( cB @ Z4 ) ) )
=> ! [Z5: $i] :
( ( Z1 @ Z5 )
=> ( ( cA @ Z5 )
| ( cB @ Z5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cSET81_pme) ).
thf(2,negated_conjecture,
( ( ! [Z1: $i > $o] :
( ( ! [Z3: $i] :
( ( Z1 @ Z3 )
=> ( cA @ Z3 ) )
| ! [Z4: $i] :
( ( Z1 @ Z4 )
=> ( cB @ Z4 ) ) )
=> ! [Z5: $i] :
( ( Z1 @ Z5 )
=> ( ( cA @ Z5 )
| ( cB @ Z5 ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Z1: $i > $o] :
( ( ! [Z3: $i] :
( ( Z1 @ Z3 )
=> ( cA @ Z3 ) )
| ! [Z4: $i] :
( ( Z1 @ Z4 )
=> ( cB @ Z4 ) ) )
=> ! [Z5: $i] :
( ( Z1 @ Z5 )
=> ( ( cA @ Z5 )
| ( cB @ Z5 ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( ! [SY4: $i] :
( ( sK1_Z1 @ SY4 )
=> ( cA @ SY4 ) )
| ! [SY5: $i] :
( ( sK1_Z1 @ SY5 )
=> ( cB @ SY5 ) ) )
=> ! [SY6: $i] :
( ( sK1_Z1 @ SY6 )
=> ( ( cA @ SY6 )
| ( cB @ SY6 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY4: $i] :
( ( sK1_Z1 @ SY4 )
=> ( cA @ SY4 ) )
| ! [SY5: $i] :
( ( sK1_Z1 @ SY5 )
=> ( cB @ SY5 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [SY6: $i] :
( ( sK1_Z1 @ SY6 )
=> ( ( cA @ SY6 )
| ( cB @ SY6 ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(7,plain,
( ( ~ ! [SY6: $i] :
( ( sK1_Z1 @ SY6 )
=> ( ( cA @ SY6 )
| ( cB @ SY6 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
( ( ( sK1_Z1 @ sK2_SY6 )
& ~ ( cA @ sK2_SY6 )
& ~ ( cB @ sK2_SY6 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(9,plain,
( ( ! [SY4: $i] :
( ~ ( sK1_Z1 @ SY4 )
| ( cA @ SY4 ) )
| ! [SY5: $i] :
( ~ ( sK1_Z1 @ SY5 )
| ( cB @ SY5 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(10,plain,
( ( ! [SY4: $i] :
( ~ ( sK1_Z1 @ SY4 )
| ( cA @ SY4 ) )
| ! [SY5: $i] :
( ~ ( sK1_Z1 @ SY5 )
| ( cB @ SY5 ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(11,plain,
( ( ( sK1_Z1 @ sK2_SY6 )
& ~ ( cA @ sK2_SY6 )
& ~ ( cB @ sK2_SY6 ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(12,plain,
( ( ~ ( ~ ( sK1_Z1 @ sK2_SY6 )
| ~ ~ ( ~ ~ ( cA @ sK2_SY6 )
| ~ ~ ( cB @ sK2_SY6 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(13,plain,
( ( ( ! [SY4: $i] :
( ~ ( sK1_Z1 @ SY4 )
| ( cA @ SY4 ) ) )
= $true )
| ( ( ! [SY5: $i] :
( ~ ( sK1_Z1 @ SY5 )
| ( cB @ SY5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[10]) ).
thf(14,plain,
( ( ~ ( sK1_Z1 @ sK2_SY6 )
| ~ ~ ( ~ ~ ( cA @ sK2_SY6 )
| ~ ~ ( cB @ sK2_SY6 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(15,plain,
! [SV1: $i] :
( ( ( ~ ( sK1_Z1 @ SV1 )
| ( cA @ SV1 ) )
= $true )
| ( ( ! [SY5: $i] :
( ~ ( sK1_Z1 @ SY5 )
| ( cB @ SY5 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( sK1_Z1 @ sK2_SY6 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(17,plain,
( ( ~ ~ ( ~ ~ ( cA @ sK2_SY6 )
| ~ ~ ( cB @ sK2_SY6 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(18,plain,
! [SV1: $i] :
( ( ( ~ ( sK1_Z1 @ SV1 ) )
= $true )
| ( ( cA @ SV1 )
= $true )
| ( ( ! [SY5: $i] :
( ~ ( sK1_Z1 @ SY5 )
| ( cB @ SY5 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[15]) ).
thf(19,plain,
( ( sK1_Z1 @ sK2_SY6 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(20,plain,
( ( ~ ( ~ ~ ( cA @ sK2_SY6 )
| ~ ~ ( cB @ sK2_SY6 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(21,plain,
! [SV1: $i] :
( ( ( sK1_Z1 @ SV1 )
= $false )
| ( ( cA @ SV1 )
= $true )
| ( ( ! [SY5: $i] :
( ~ ( sK1_Z1 @ SY5 )
| ( cB @ SY5 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(22,plain,
( ( ~ ~ ( cA @ sK2_SY6 )
| ~ ~ ( cB @ sK2_SY6 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(23,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( sK1_Z1 @ SV2 )
| ( cB @ SV2 ) )
= $true )
| ( ( cA @ SV1 )
= $true )
| ( ( sK1_Z1 @ SV1 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(24,plain,
( ( ~ ~ ( cA @ sK2_SY6 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(25,plain,
( ( ~ ~ ( cB @ sK2_SY6 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[22]) ).
thf(26,plain,
! [SV1: $i,SV2: $i] :
( ( ( ~ ( sK1_Z1 @ SV2 ) )
= $true )
| ( ( cB @ SV2 )
= $true )
| ( ( cA @ SV1 )
= $true )
| ( ( sK1_Z1 @ SV1 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(27,plain,
( ( ~ ( cA @ sK2_SY6 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(28,plain,
( ( ~ ( cB @ sK2_SY6 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(29,plain,
! [SV1: $i,SV2: $i] :
( ( ( sK1_Z1 @ SV2 )
= $false )
| ( ( cB @ SV2 )
= $true )
| ( ( cA @ SV1 )
= $true )
| ( ( sK1_Z1 @ SV1 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(30,plain,
( ( cA @ sK2_SY6 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(31,plain,
( ( cB @ sK2_SY6 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(32,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[19,31,30,29]) ).
thf(33,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO308^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.33 % Computer : n025.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 : Sat Jul 9 05:53:00 EDT 2022
% 0.14/0.34 % 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).
% 0.19/0.37
% 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: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:32,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: 33 ****
% 0.19/0.37 %**** clause counter: 32 ****
% 0.19/0.37
% 0.19/0.37 % 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:32,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------