TSTP Solution File: SYO267^5 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO267^5 : 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 : n003.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 17:33:05 EDT 2022
% Result : Theorem 6.57s 6.74s
% Output : CNFRefutation 6.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of formulae : 34 ( 17 unt; 16 typ; 0 def)
% Number of atoms : 49 ( 16 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 221 ( 47 ~; 17 |; 16 &; 131 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 190 ( 190 >; 0 *; 0 +; 0 <<)
% Number of symbols : 19 ( 16 usr; 2 con; 0-4 aty)
% Number of variables : 43 ( 10 ^ 28 !; 5 ?; 43 :)
% 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 ) > $o ) > $i > $i ).
thf(tp_sK13_E,type,
sK13_E: ( ( $i > $i ) > $i ) > ( ( $i > $i ) > ( $i > $i ) > $i ) > ( ( $i > $i ) > ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(tp_sK14_E,type,
sK14_E: ( ( $i > $i ) > ( $i > $i ) > $i ) > ( ( $i > $i ) > ( $i > $i ) > ( $i > $i ) > $o ) > ( ( $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_sK16_E,type,
sK16_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_SY7,type,
sK2_SY7: ( ( $i > $i ) > $o ) > $i > $i ).
thf(tp_sK3_SY11,type,
sK3_SY11: ( ( $i > $i ) > $o ) > $i > $i ).
thf(tp_sK4_SY12,type,
sK4_SY12: ( ( $i > $i ) > $o ) > $i ).
thf(tp_sK5_E,type,
sK5_E: ( ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(tp_sK6_E,type,
sK6_E: ( ( $i > $i ) > $i ) > ( ( $i > $i ) > ( $i > $i ) > $o ) > $i > $i ).
thf(tp_sK7_E,type,
sK7_E: ( ( $i > $i ) > $i ) > ( ( $i > $i ) > ( $i > $i ) > $i ) > $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,H: $i > $i] :
( ( ( M @ G )
& ( M @ H ) )
=> ( ( M
@ ^ [Z: $i] : ( G @ ( H @ Z ) ) )
& ! [Y: $i] :
( ( P @ Y )
=> ( P @ ( G @ Y ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM111) ).
thf(2,negated_conjecture,
( ( ! [P: $i > $o] :
? [M: ( $i > $i ) > $o] :
! [G: $i > $i,H: $i > $i] :
( ( ( M @ G )
& ( M @ H ) )
=> ( ( M
@ ^ [Z: $i] : ( G @ ( H @ 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,H: $i > $i] :
( ( ( M @ G )
& ( M @ H ) )
=> ( ( M
@ ^ [Z: $i] : ( G @ ( H @ Z ) ) )
& ! [Y: $i] :
( ( P @ Y )
=> ( P @ ( G @ Y ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ? [SY6: ( $i > $i ) > $o] :
! [SY7: $i > $i,SY8: $i > $i] :
( ( ( SY6 @ SY7 )
& ( SY6 @ SY8 ) )
=> ( ( SY6
@ ^ [Z: $i] : ( SY7 @ ( SY8 @ Z ) ) )
& ! [SY10: $i] :
( ( sK1_P @ SY10 )
=> ( sK1_P @ ( SY7 @ SY10 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ~ ? [SY6: ( $i > $i ) > $o] :
! [SY7: $i > $i,SY8: $i > $i] :
( ( ( SY6 @ SY7 )
& ( SY6 @ SY8 ) )
=> ( ( SY6
@ ^ [Z: $i] : ( SY7 @ ( SY8 @ Z ) ) )
& ! [SY10: $i] :
( ( sK1_P @ SY10 )
=> ( sK1_P @ ( SY7 @ SY10 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [SY6: ( $i > $i ) > $o] :
( ( SY6 @ ( sK2_SY7 @ SY6 ) )
& ( SY6 @ ( sK3_SY11 @ SY6 ) )
& ( ( ( sK1_P @ ( sK4_SY12 @ SY6 ) )
& ~ ( sK1_P @ ( sK2_SY7 @ SY6 @ ( sK4_SY12 @ SY6 ) ) ) )
| ~ ( SY6
@ ^ [SY15: $i] : ( sK2_SY7 @ SY6 @ ( sK3_SY11 @ SY6 @ SY15 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY6: ( $i > $i ) > $o] :
( ( SY6 @ ( sK2_SY7 @ SY6 ) )
& ( SY6 @ ( sK3_SY11 @ SY6 ) )
& ( ( ( sK1_P @ ( sK4_SY12 @ SY6 ) )
& ~ ( sK1_P @ ( sK2_SY7 @ SY6 @ ( sK4_SY12 @ SY6 ) ) ) )
| ~ ( SY6
@ ^ [SY15: $i] : ( sK2_SY7 @ SY6 @ ( sK3_SY11 @ SY6 @ SY15 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SX0: ( $i > $i ) > $o] :
~ ( ~ ~ ( ~ ( SX0 @ ( sK2_SY7 @ SX0 ) )
| ~ ( SX0 @ ( sK3_SY11 @ SX0 ) ) )
| ~ ( ~ ( ~ ( sK1_P @ ( sK4_SY12 @ SX0 ) )
| ~ ~ ( sK1_P @ ( sK2_SY7 @ SX0 @ ( sK4_SY12 @ SX0 ) ) ) )
| ~ ( SX0
@ ^ [SX1: $i] : ( sK2_SY7 @ SX0 @ ( sK3_SY11 @ SX0 @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(9,plain,
! [SV1: ( $i > $i ) > $o] :
( ( ~ ( ~ ~ ( ~ ( SV1 @ ( sK2_SY7 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY11 @ SV1 ) ) )
| ~ ( ~ ( ~ ( sK1_P @ ( sK4_SY12 @ SV1 ) )
| ~ ~ ( sK1_P @ ( sK2_SY7 @ SV1 @ ( sK4_SY12 @ SV1 ) ) ) )
| ~ ( SV1
@ ^ [SY16: $i] : ( sK2_SY7 @ SV1 @ ( sK3_SY11 @ SV1 @ SY16 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[8]) ).
thf(10,plain,
! [SV1: ( $i > $i ) > $o] :
( ( ~ ~ ( ~ ( SV1 @ ( sK2_SY7 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY11 @ SV1 ) ) )
| ~ ( ~ ( ~ ( sK1_P @ ( sK4_SY12 @ SV1 ) )
| ~ ~ ( sK1_P @ ( sK2_SY7 @ SV1 @ ( sK4_SY12 @ SV1 ) ) ) )
| ~ ( SV1
@ ^ [SY16: $i] : ( sK2_SY7 @ SV1 @ ( sK3_SY11 @ SV1 @ SY16 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[9]) ).
thf(11,plain,
! [SV1: ( $i > $i ) > $o] :
( ( ~ ~ ( ~ ( SV1 @ ( sK2_SY7 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY11 @ SV1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[10]) ).
thf(13,plain,
! [SV1: ( $i > $i ) > $o] :
( ( ~ ( ~ ( SV1 @ ( sK2_SY7 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY11 @ SV1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[11]) ).
thf(15,plain,
! [SV1: ( $i > $i ) > $o] :
( ( ~ ( SV1 @ ( sK2_SY7 @ SV1 ) )
| ~ ( SV1 @ ( sK3_SY11 @ SV1 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(17,plain,
! [SV1: ( $i > $i ) > $o] :
( ( ~ ( SV1 @ ( sK2_SY7 @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[15]) ).
thf(20,plain,
! [SV1: ( $i > $i ) > $o] :
( ( SV1 @ ( sK2_SY7 @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(30,plain,
$false = $true,
inference(prim_subst,[status(thm)],[20:[bind(SV1,$thf( ^ [SV4: $i > $i] : $false ))]]) ).
thf(127,plain,
$false = $true,
inference(sim,[status(thm)],[30]) ).
thf(128,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYO267^5 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n003.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 : Sat Jul 9 13:07:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 0
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.34 (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)....
% 6.57/6.74
% 6.57/6.74 ********************************
% 6.57/6.74 * All subproblems solved! *
% 6.57/6.74 ********************************
% 6.57/6.74 % 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:127,loop_count:0,foatp_calls:1,translation:fof_full)
% 6.57/6.74
% 6.57/6.74 %**** Beginning of derivation protocol ****
% 6.57/6.74 % SZS output start CNFRefutation
% See solution above
% 6.57/6.74
% 6.57/6.74 %**** End of derivation protocol ****
% 6.57/6.74 %**** no. of clauses in derivation: 18 ****
% 6.57/6.74 %**** clause counter: 127 ****
% 6.57/6.74
% 6.57/6.74 % 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:127,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------