TSTP Solution File: SYN413+1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN413+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 : n008.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 08:26:03 EDT 2022
% Result : Theorem 0.19s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 4
% Syntax : Number of formulae : 39 ( 27 unt; 3 typ; 0 def)
% Number of atoms : 197 ( 44 equ; 0 cnn)
% Maximal formula atoms : 4 ( 5 avg)
% Number of connectives : 409 ( 84 ~; 58 |; 8 &; 252 @)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 88 ( 0 ^ 79 !; 9 ?; 88 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_f,type,
f: $i > $i > $o ).
thf(tp_sK1_V,type,
sK1_V: $i ).
thf(tp_sK2_Y,type,
sK2_Y: $i > $i ).
thf(1,conjecture,
( ! [Z: $i] :
? [Y: $i] :
! [X: $i] :
( ( f @ X @ Y )
<=> ( ( f @ X @ Z )
& ~ ( f @ X @ X ) ) )
=> ~ ? [V: $i] :
! [U: $i] : ( f @ U @ V ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',kalish256) ).
thf(2,negated_conjecture,
( ( ! [Z: $i] :
? [Y: $i] :
! [X: $i] :
( ( f @ X @ Y )
<=> ( ( f @ X @ Z )
& ~ ( f @ X @ X ) ) )
=> ~ ? [V: $i] :
! [U: $i] : ( f @ U @ V ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Z: $i] :
? [Y: $i] :
! [X: $i] :
( ( f @ X @ Y )
<=> ( ( f @ X @ Z )
& ~ ( f @ X @ X ) ) )
=> ~ ? [V: $i] :
! [U: $i] : ( f @ U @ V ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Z: $i] :
? [Y: $i] :
! [X: $i] :
( ( f @ X @ Y )
<=> ( ( f @ X @ Z )
& ~ ( f @ X @ X ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( ~ ? [V: $i] :
! [U: $i] : ( f @ U @ V ) )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ? [V: $i] :
! [U: $i] : ( f @ U @ V ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY5: $i] : ( f @ SY5 @ sK1_V ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [Z: $i] :
( ! [SY6: $i] :
( ~ ( f @ SY6 @ Z )
| ( f @ SY6 @ SY6 )
| ( f @ SY6 @ ( sK2_Y @ Z ) ) )
& ! [SY7: $i] :
( ~ ( f @ SY7 @ ( sK2_Y @ Z ) )
| ( f @ SY7 @ Z ) )
& ! [SY8: $i] :
( ~ ( f @ SY8 @ ( sK2_Y @ Z ) )
| ~ ( f @ SY8 @ SY8 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(9,plain,
( ( ! [Z: $i] :
( ! [SY6: $i] :
( ~ ( f @ SY6 @ Z )
| ( f @ SY6 @ SY6 )
| ( f @ SY6 @ ( sK2_Y @ Z ) ) )
& ! [SY7: $i] :
( ~ ( f @ SY7 @ ( sK2_Y @ Z ) )
| ( f @ SY7 @ Z ) )
& ! [SY8: $i] :
( ~ ( f @ SY8 @ ( sK2_Y @ Z ) )
| ~ ( f @ SY8 @ SY8 ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [SY5: $i] : ( f @ SY5 @ sK1_V ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i] :
( ~ ( f @ SX1 @ SX0 )
| ( f @ SX1 @ SX1 )
| ( f @ SX1 @ ( sK2_Y @ SX0 ) ) )
| ~ ~ ( ~ ! [SX1: $i] :
( ~ ( f @ SX1 @ ( sK2_Y @ SX0 ) )
| ( f @ SX1 @ SX0 ) )
| ~ ! [SX1: $i] :
( ~ ( f @ SX1 @ ( sK2_Y @ SX0 ) )
| ~ ( f @ SX1 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(12,plain,
! [SV1: $i] :
( ( f @ SV1 @ sK1_V )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(13,plain,
! [SV2: $i] :
( ( ~ ( ~ ! [SY9: $i] :
( ~ ( f @ SY9 @ SV2 )
| ( f @ SY9 @ SY9 )
| ( f @ SY9 @ ( sK2_Y @ SV2 ) ) )
| ~ ~ ( ~ ! [SY10: $i] :
( ~ ( f @ SY10 @ ( sK2_Y @ SV2 ) )
| ( f @ SY10 @ SV2 ) )
| ~ ! [SY11: $i] :
( ~ ( f @ SY11 @ ( sK2_Y @ SV2 ) )
| ~ ( f @ SY11 @ SY11 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(14,plain,
! [SV2: $i] :
( ( ~ ! [SY9: $i] :
( ~ ( f @ SY9 @ SV2 )
| ( f @ SY9 @ SY9 )
| ( f @ SY9 @ ( sK2_Y @ SV2 ) ) )
| ~ ~ ( ~ ! [SY10: $i] :
( ~ ( f @ SY10 @ ( sK2_Y @ SV2 ) )
| ( f @ SY10 @ SV2 ) )
| ~ ! [SY11: $i] :
( ~ ( f @ SY11 @ ( sK2_Y @ SV2 ) )
| ~ ( f @ SY11 @ SY11 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(15,plain,
! [SV2: $i] :
( ( ~ ! [SY9: $i] :
( ~ ( f @ SY9 @ SV2 )
| ( f @ SY9 @ SY9 )
| ( f @ SY9 @ ( sK2_Y @ SV2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(16,plain,
! [SV2: $i] :
( ( ~ ~ ( ~ ! [SY10: $i] :
( ~ ( f @ SY10 @ ( sK2_Y @ SV2 ) )
| ( f @ SY10 @ SV2 ) )
| ~ ! [SY11: $i] :
( ~ ( f @ SY11 @ ( sK2_Y @ SV2 ) )
| ~ ( f @ SY11 @ SY11 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[14]) ).
thf(17,plain,
! [SV2: $i] :
( ( ! [SY9: $i] :
( ~ ( f @ SY9 @ SV2 )
| ( f @ SY9 @ SY9 )
| ( f @ SY9 @ ( sK2_Y @ SV2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[15]) ).
thf(18,plain,
! [SV2: $i] :
( ( ~ ( ~ ! [SY10: $i] :
( ~ ( f @ SY10 @ ( sK2_Y @ SV2 ) )
| ( f @ SY10 @ SV2 ) )
| ~ ! [SY11: $i] :
( ~ ( f @ SY11 @ ( sK2_Y @ SV2 ) )
| ~ ( f @ SY11 @ SY11 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(19,plain,
! [SV2: $i,SV3: $i] :
( ( ~ ( f @ SV3 @ SV2 )
| ( f @ SV3 @ SV3 )
| ( f @ SV3 @ ( sK2_Y @ SV2 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(20,plain,
! [SV2: $i] :
( ( ~ ! [SY10: $i] :
( ~ ( f @ SY10 @ ( sK2_Y @ SV2 ) )
| ( f @ SY10 @ SV2 ) )
| ~ ! [SY11: $i] :
( ~ ( f @ SY11 @ ( sK2_Y @ SV2 ) )
| ~ ( f @ SY11 @ SY11 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(21,plain,
! [SV2: $i,SV3: $i] :
( ( ( ~ ( f @ SV3 @ SV2 )
| ( f @ SV3 @ SV3 ) )
= $true )
| ( ( f @ SV3 @ ( sK2_Y @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(22,plain,
! [SV2: $i] :
( ( ~ ! [SY10: $i] :
( ~ ( f @ SY10 @ ( sK2_Y @ SV2 ) )
| ( f @ SY10 @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(23,plain,
! [SV2: $i] :
( ( ~ ! [SY11: $i] :
( ~ ( f @ SY11 @ ( sK2_Y @ SV2 ) )
| ~ ( f @ SY11 @ SY11 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(24,plain,
! [SV2: $i,SV3: $i] :
( ( ( ~ ( f @ SV3 @ SV2 ) )
= $true )
| ( ( f @ SV3 @ SV3 )
= $true )
| ( ( f @ SV3 @ ( sK2_Y @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(25,plain,
! [SV2: $i] :
( ( ! [SY10: $i] :
( ~ ( f @ SY10 @ ( sK2_Y @ SV2 ) )
| ( f @ SY10 @ SV2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(26,plain,
! [SV2: $i] :
( ( ! [SY11: $i] :
( ~ ( f @ SY11 @ ( sK2_Y @ SV2 ) )
| ~ ( f @ SY11 @ SY11 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(27,plain,
! [SV2: $i,SV3: $i] :
( ( ( f @ SV3 @ SV2 )
= $false )
| ( ( f @ SV3 @ SV3 )
= $true )
| ( ( f @ SV3 @ ( sK2_Y @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(28,plain,
! [SV2: $i,SV4: $i] :
( ( ~ ( f @ SV4 @ ( sK2_Y @ SV2 ) )
| ( f @ SV4 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[25]) ).
thf(29,plain,
! [SV2: $i,SV5: $i] :
( ( ~ ( f @ SV5 @ ( sK2_Y @ SV2 ) )
| ~ ( f @ SV5 @ SV5 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(30,plain,
! [SV2: $i,SV4: $i] :
( ( ( ~ ( f @ SV4 @ ( sK2_Y @ SV2 ) ) )
= $true )
| ( ( f @ SV4 @ SV2 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(31,plain,
! [SV2: $i,SV5: $i] :
( ( ( ~ ( f @ SV5 @ ( sK2_Y @ SV2 ) ) )
= $true )
| ( ( ~ ( f @ SV5 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[29]) ).
thf(32,plain,
! [SV2: $i,SV4: $i] :
( ( ( f @ SV4 @ ( sK2_Y @ SV2 ) )
= $false )
| ( ( f @ SV4 @ SV2 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(33,plain,
! [SV2: $i,SV5: $i] :
( ( ( f @ SV5 @ ( sK2_Y @ SV2 ) )
= $false )
| ( ( ~ ( f @ SV5 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(34,plain,
! [SV2: $i,SV5: $i] :
( ( ( f @ SV5 @ SV5 )
= $false )
| ( ( f @ SV5 @ ( sK2_Y @ SV2 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(35,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[12,34,32,27]) ).
thf(36,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN413+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 12 00:08:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34
% 0.13/0.34 No.of.Axioms: 0
% 0.13/0.34
% 0.13/0.34 Length.of.Defs: 0
% 0.13/0.34
% 0.13/0.34 Contains.Choice.Funs: false
% 0.13/0.34 (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/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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:35,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: 36 ****
% 0.19/0.37 %**** clause counter: 35 ****
% 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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:35,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------