TSTP Solution File: SEU926^5 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU926^5 : 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 : n012.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 12:15:46 EDT 2022
% Result : Theorem 12.29s 12.49s
% Output : CNFRefutation 12.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 30 ( 14 unt; 15 typ; 0 def)
% Number of atoms : 43 ( 13 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 163 ( 29 ~; 11 |; 9 &; 104 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 175 ( 175 >; 0 *; 0 +; 0 <<)
% Number of symbols : 18 ( 15 usr; 2 con; 0-4 aty)
% Number of variables : 35 ( 10 ^ 20 !; 5 ?; 35 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK10_E,type,
sK10_E: ( ( $i > $i ) > ( $i > $i ) > $i ) > ( ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(tp_sK11_E,type,
sK11_E: ( ( $i > $i ) > ( $i > $i ) > $i ) > ( ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(tp_sK12_E,type,
sK12_E: ( ( $i > $i ) > $i ) > ( ( $i > $i ) > ( $i > $i ) > $i ) > ( ( $i > $i ) > ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(tp_sK13_E,type,
sK13_E: ( ( $i > $i ) > ( $i > $i ) > $i ) > ( ( $i > $i ) > ( $i > $i ) > ( $i > $i ) > $o ) > ( ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(tp_sK14_E,type,
sK14_E: ( ( $i > $i ) > ( $i > $i ) > $i ) > ( ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(tp_sK15_E,type,
sK15_E: ( ( $i > $i ) > ( $i > $i ) > $i ) > ( ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(tp_sK1_P,type,
sK1_P: $i > $o ).
thf(tp_sK2_SY6,type,
sK2_SY6: ( ( $i > $i ) > $o ) > $i > $i ).
thf(tp_sK3_SY9,type,
sK3_SY9: ( ( $i > $i ) > $o ) > $i ).
thf(tp_sK4_E,type,
sK4_E: ( ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(tp_sK5_E,type,
sK5_E: ( ( $i > $i ) > $i ) > ( ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(tp_sK6_E,type,
sK6_E: ( ( $i > $i ) > $i ) > ( ( $i > $i ) > ( $i > $i ) > $i ) > $i > $i ).
thf(tp_sK7_E,type,
sK7_E: ( ( $i > $i ) > ( $i > $i ) > $i ) > ( ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(tp_sK8_E,type,
sK8_E: ( ( $i > $i ) > ( $i > $i ) > $i ) > ( ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(tp_sK9_E,type,
sK9_E: ( ( $i > $i ) > ( $i > $i ) > $i ) > ( ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(1,conjecture,
! [P: $i > $o] :
? [M: ( $i > $i ) > $o] :
! [G: $i > $i] :
( ( M @ G )
=> ( ( M
@ ^ [Z: $i] : ( G @ ( G @ Z ) ) )
& ! [Y: $i] :
( ( P @ Y )
=> ( P @ ( G @ Y ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM113) ).
thf(2,negated_conjecture,
( ( ! [P: $i > $o] :
? [M: ( $i > $i ) > $o] :
! [G: $i > $i] :
( ( M @ G )
=> ( ( M
@ ^ [Z: $i] : ( G @ ( G @ Z ) ) )
& ! [Y: $i] :
( ( P @ Y )
=> ( P @ ( G @ Y ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [P: $i > $o] :
? [M: ( $i > $i ) > $o] :
! [G: $i > $i] :
( ( M @ G )
=> ( ( M
@ ^ [Z: $i] : ( G @ ( G @ Z ) ) )
& ! [Y: $i] :
( ( P @ Y )
=> ( P @ ( G @ Y ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ? [SY5: ( $i > $i ) > $o] :
! [SY6: $i > $i] :
( ( SY5 @ SY6 )
=> ( ( SY5
@ ^ [Z: $i] : ( SY6 @ ( SY6 @ Z ) ) )
& ! [SY8: $i] :
( ( sK1_P @ SY8 )
=> ( sK1_P @ ( SY6 @ SY8 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ~ ? [SY5: ( $i > $i ) > $o] :
! [SY6: $i > $i] :
( ( SY5 @ SY6 )
=> ( ( SY5
@ ^ [Z: $i] : ( SY6 @ ( SY6 @ Z ) ) )
& ! [SY8: $i] :
( ( sK1_P @ SY8 )
=> ( sK1_P @ ( SY6 @ SY8 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [SY5: ( $i > $i ) > $o] :
( ( SY5 @ ( sK2_SY6 @ SY5 ) )
& ( ( ( sK1_P @ ( sK3_SY9 @ SY5 ) )
& ~ ( sK1_P @ ( sK2_SY6 @ SY5 @ ( sK3_SY9 @ SY5 ) ) ) )
| ~ ( SY5
@ ^ [SY10: $i] : ( sK2_SY6 @ SY5 @ ( sK2_SY6 @ SY5 @ SY10 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY5: ( $i > $i ) > $o] :
( ( SY5 @ ( sK2_SY6 @ SY5 ) )
& ( ( ( sK1_P @ ( sK3_SY9 @ SY5 ) )
& ~ ( sK1_P @ ( sK2_SY6 @ SY5 @ ( sK3_SY9 @ SY5 ) ) ) )
| ~ ( SY5
@ ^ [SY10: $i] : ( sK2_SY6 @ SY5 @ ( sK2_SY6 @ SY5 @ SY10 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SX0: ( $i > $i ) > $o] :
~ ( ~ ( SX0 @ ( sK2_SY6 @ SX0 ) )
| ~ ( ~ ( ~ ( sK1_P @ ( sK3_SY9 @ SX0 ) )
| ~ ~ ( sK1_P @ ( sK2_SY6 @ SX0 @ ( sK3_SY9 @ SX0 ) ) ) )
| ~ ( SX0
@ ^ [SX1: $i] : ( sK2_SY6 @ SX0 @ ( sK2_SY6 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(9,plain,
! [SV1: ( $i > $i ) > $o] :
( ( ~ ( ~ ( SV1 @ ( sK2_SY6 @ SV1 ) )
| ~ ( ~ ( ~ ( sK1_P @ ( sK3_SY9 @ SV1 ) )
| ~ ~ ( sK1_P @ ( sK2_SY6 @ SV1 @ ( sK3_SY9 @ SV1 ) ) ) )
| ~ ( SV1
@ ^ [SY11: $i] : ( sK2_SY6 @ SV1 @ ( sK2_SY6 @ SV1 @ SY11 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[8]) ).
thf(10,plain,
! [SV1: ( $i > $i ) > $o] :
( ( ~ ( SV1 @ ( sK2_SY6 @ SV1 ) )
| ~ ( ~ ( ~ ( sK1_P @ ( sK3_SY9 @ SV1 ) )
| ~ ~ ( sK1_P @ ( sK2_SY6 @ SV1 @ ( sK3_SY9 @ SV1 ) ) ) )
| ~ ( SV1
@ ^ [SY11: $i] : ( sK2_SY6 @ SV1 @ ( sK2_SY6 @ SV1 @ SY11 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[9]) ).
thf(11,plain,
! [SV1: ( $i > $i ) > $o] :
( ( ~ ( SV1 @ ( sK2_SY6 @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[10]) ).
thf(13,plain,
! [SV1: ( $i > $i ) > $o] :
( ( SV1 @ ( sK2_SY6 @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[11]) ).
thf(25,plain,
$false = $true,
inference(prim_subst,[status(thm)],[13:[bind(SV1,$thf( ^ [SV4: $i > $i] : $false ))]]) ).
thf(118,plain,
$false = $true,
inference(sim,[status(thm)],[25]) ).
thf(119,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU926^5 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.10 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.09/0.30 % Computer : n012.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 600
% 0.09/0.30 % DateTime : Sun Jun 19 17:12:07 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.09/0.31
% 0.09/0.31 No.of.Axioms: 0
% 0.09/0.31
% 0.09/0.31 Length.of.Defs: 0
% 0.09/0.31
% 0.09/0.31 Contains.Choice.Funs: false
% 0.09/0.31 (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)....
% 12.29/12.49
% 12.29/12.49 ********************************
% 12.29/12.49 * All subproblems solved! *
% 12.29/12.49 ********************************
% 12.29/12.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (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:118,loop_count:0,foatp_calls:1,translation:fof_full)
% 12.29/12.49
% 12.29/12.49 %**** Beginning of derivation protocol ****
% 12.29/12.49 % SZS output start CNFRefutation
% See solution above
% 12.29/12.49
% 12.29/12.49 %**** End of derivation protocol ****
% 12.29/12.49 %**** no. of clauses in derivation: 15 ****
% 12.29/12.49 %**** clause counter: 118 ****
% 12.29/12.49
% 12.29/12.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (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:118,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------