TSTP Solution File: SYN379+1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN379+1 : TPTP v8.1.0. Released v2.0.0.
% 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 08:25:45 EDT 2022
% Result : Theorem 0.19s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 3
% Syntax : Number of formulae : 32 ( 29 unt; 2 typ; 0 def)
% Number of atoms : 110 ( 28 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 183 ( 45 ~; 7 |; 9 &; 114 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 2 con; 0-3 aty)
% Number of variables : 87 ( 0 ^ 82 !; 5 ?; 87 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_big_p,type,
big_p: $i > $o ).
thf(tp_big_q,type,
big_q: $i > $i > $i > $o ).
thf(1,conjecture,
( ! [X: $i] : ( big_p @ X )
=> ? [Y: $i] :
( ! [X: $i,Z: $i] : ( big_q @ X @ Y @ Z )
=> ~ ! [Z: $i] :
( ( big_p @ Z )
& ~ ( big_q @ Y @ Y @ Z ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',x2131) ).
thf(2,negated_conjecture,
( ( ! [X: $i] : ( big_p @ X )
=> ? [Y: $i] :
( ! [X: $i,Z: $i] : ( big_q @ X @ Y @ Z )
=> ~ ! [Z: $i] :
( ( big_p @ Z )
& ~ ( big_q @ Y @ Y @ Z ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [X: $i] : ( big_p @ X )
=> ? [Y: $i] :
( ! [X: $i,Z: $i] : ( big_q @ X @ Y @ Z )
=> ~ ! [Z: $i] :
( ( big_p @ Z )
& ~ ( big_q @ Y @ Y @ Z ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [X: $i] : ( big_p @ X ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ? [Y: $i] :
( ! [X: $i,Z: $i] : ( big_q @ X @ Y @ Z )
=> ~ ! [Z: $i] :
( ( big_p @ Z )
& ~ ( big_q @ Y @ Y @ Z ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ? [Y: $i] :
( ! [X: $i,Z: $i] : ( big_q @ X @ Y @ Z )
=> ~ ! [Z: $i] :
( ( big_p @ Z )
& ~ ( big_q @ Y @ Y @ Z ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [Y: $i,X: $i,Z: $i] : ( big_q @ X @ Y @ Z )
& ! [Z: $i] : ( big_p @ Z )
& ! [Y: $i,Z: $i] :
~ ( big_q @ Y @ Y @ Z ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [X: $i] : ( big_p @ X ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(9,plain,
( ( ! [Y: $i,X: $i,Z: $i] : ( big_q @ X @ Y @ Z )
& ! [Z: $i] : ( big_p @ Z )
& ! [Y: $i,Z: $i] :
~ ( big_q @ Y @ Y @ Z ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(10,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i,SX2: $i] : ( big_q @ SX1 @ SX0 @ SX2 )
| ~ ~ ( ~ ! [SX0: $i] : ( big_p @ SX0 )
| ~ ! [SX0: $i,SX1: $i] :
~ ( big_q @ SX0 @ SX0 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(11,plain,
! [SV1: $i] :
( ( big_p @ SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[8]) ).
thf(12,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] : ( big_q @ SX1 @ SX0 @ SX2 )
| ~ ~ ( ~ ! [SX0: $i] : ( big_p @ SX0 )
| ~ ! [SX0: $i,SX1: $i] :
~ ( big_q @ SX0 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ ! [SX0: $i,SX1: $i,SX2: $i] : ( big_q @ SX1 @ SX0 @ SX2 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ~ ( ~ ! [SX0: $i] : ( big_p @ SX0 )
| ~ ! [SX0: $i,SX1: $i] :
~ ( big_q @ SX0 @ SX0 @ SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] : ( big_q @ SX1 @ SX0 @ SX2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ~ ( ~ ! [SX0: $i] : ( big_p @ SX0 )
| ~ ! [SX0: $i,SX1: $i] :
~ ( big_q @ SX0 @ SX0 @ SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
! [SV2: $i] :
( ( ! [SY5: $i,SY6: $i] : ( big_q @ SY5 @ SV2 @ SY6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(18,plain,
( ( ~ ! [SX0: $i] : ( big_p @ SX0 )
| ~ ! [SX0: $i,SX1: $i] :
~ ( big_q @ SX0 @ SX0 @ SX1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(19,plain,
! [SV2: $i,SV3: $i] :
( ( ! [SY7: $i] : ( big_q @ SV3 @ SV2 @ SY7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ ! [SX0: $i] : ( big_p @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(21,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
~ ( big_q @ SX0 @ SX0 @ SX1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(22,plain,
! [SV4: $i,SV2: $i,SV3: $i] :
( ( big_q @ SV3 @ SV2 @ SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( ! [SX0: $i] : ( big_p @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(24,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( big_q @ SX0 @ SX0 @ SX1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[21]) ).
thf(25,plain,
! [SV5: $i] :
( ( big_p @ SV5 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(26,plain,
! [SV6: $i] :
( ( ! [SY8: $i] :
~ ( big_q @ SV6 @ SV6 @ SY8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(27,plain,
! [SV7: $i,SV6: $i] :
( ( ~ ( big_q @ SV6 @ SV6 @ SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(28,plain,
! [SV7: $i,SV6: $i] :
( ( big_q @ SV6 @ SV6 @ SV7 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(29,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,28,25,22]) ).
thf(30,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.12 % Problem : SYN379+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 12 03:55:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.34
% 0.19/0.34 No.of.Axioms: 0
% 0.19/0.34
% 0.19/0.34 Length.of.Defs: 0
% 0.19/0.34
% 0.19/0.34 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:600,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/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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:29,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: 30 ****
% 0.19/0.37 %**** clause counter: 29 ****
% 0.19/0.37
% 0.19/0.37 % 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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:29,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------