TSTP Solution File: SYN336+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN336+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 : n021.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 08:25:17 EDT 2022
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 4
% Syntax : Number of formulae : 36 ( 32 unt; 3 typ; 0 def)
% Number of atoms : 157 ( 31 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 474 ( 124 ~; 34 |; 8 &; 288 @)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 68 ( 0 ^ 58 !; 10 ?; 68 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_big_f,type,
big_f: $i > $i > $o ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_SY6,type,
sK2_SY6: $i > $i > $i ).
thf(1,conjecture,
! [X: $i] :
? [Y1: $i,Y2: $i] :
! [Z: $i] :
( ( big_f @ X @ Z )
=> ( ( big_f @ Y1 @ Z )
=> ( ( big_f @ Y2 @ Z )
=> ( ( big_f @ Y1 @ X )
=> ( big_f @ Z @ Y2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',church_46_15_1) ).
thf(2,negated_conjecture,
( ( ! [X: $i] :
? [Y1: $i,Y2: $i] :
! [Z: $i] :
( ( big_f @ X @ Z )
=> ( ( big_f @ Y1 @ Z )
=> ( ( big_f @ Y2 @ Z )
=> ( ( big_f @ Y1 @ X )
=> ( big_f @ Z @ Y2 ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [X: $i] :
? [Y1: $i,Y2: $i] :
! [Z: $i] :
( ( big_f @ X @ Z )
=> ( ( big_f @ Y1 @ Z )
=> ( ( big_f @ Y2 @ Z )
=> ( ( big_f @ Y1 @ X )
=> ( big_f @ Z @ Y2 ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ? [SY4: $i,SY5: $i] :
! [SY6: $i] :
( ( big_f @ sK1_X @ SY6 )
=> ( ( big_f @ SY4 @ SY6 )
=> ( ( big_f @ SY5 @ SY6 )
=> ( ( big_f @ SY4 @ sK1_X )
=> ( big_f @ SY6 @ SY5 ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ~ ? [SY4: $i,SY5: $i] :
! [SY6: $i] :
( ( big_f @ sK1_X @ SY6 )
=> ( ( big_f @ SY4 @ SY6 )
=> ( ( big_f @ SY5 @ SY6 )
=> ( ( big_f @ SY4 @ sK1_X )
=> ( big_f @ SY6 @ SY5 ) ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(6,plain,
( ( ! [SY4: $i,SY5: $i] :
( ( big_f @ sK1_X @ ( sK2_SY6 @ SY5 @ SY4 ) )
& ( big_f @ SY4 @ ( sK2_SY6 @ SY5 @ SY4 ) )
& ( big_f @ SY5 @ ( sK2_SY6 @ SY5 @ SY4 ) )
& ( big_f @ SY4 @ sK1_X )
& ~ ( big_f @ ( sK2_SY6 @ SY5 @ SY4 ) @ SY5 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(7,plain,
( ( ! [SY4: $i,SY5: $i] :
( ( big_f @ sK1_X @ ( sK2_SY6 @ SY5 @ SY4 ) )
& ( big_f @ SY4 @ ( sK2_SY6 @ SY5 @ SY4 ) )
& ( big_f @ SY5 @ ( sK2_SY6 @ SY5 @ SY4 ) )
& ( big_f @ SY4 @ sK1_X )
& ~ ( big_f @ ( sK2_SY6 @ SY5 @ SY4 ) @ SY5 ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(8,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( big_f @ sK1_X @ ( sK2_SY6 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( big_f @ SX0 @ ( sK2_SY6 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( big_f @ SX1 @ ( sK2_SY6 @ SX1 @ SX0 ) )
| ~ ~ ( ~ ( big_f @ SX0 @ sK1_X )
| ~ ~ ( big_f @ ( sK2_SY6 @ SX1 @ SX0 ) @ SX1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(9,plain,
! [SV1: $i] :
( ( ! [SY7: $i] :
~ ( ~ ( big_f @ sK1_X @ ( sK2_SY6 @ SY7 @ SV1 ) )
| ~ ~ ( ~ ( big_f @ SV1 @ ( sK2_SY6 @ SY7 @ SV1 ) )
| ~ ~ ( ~ ( big_f @ SY7 @ ( sK2_SY6 @ SY7 @ SV1 ) )
| ~ ~ ( ~ ( big_f @ SV1 @ sK1_X )
| ~ ~ ( big_f @ ( sK2_SY6 @ SY7 @ SV1 ) @ SY7 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[8]) ).
thf(10,plain,
! [SV1: $i,SV2: $i] :
( ( ~ ( ~ ( big_f @ sK1_X @ ( sK2_SY6 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( big_f @ SV1 @ ( sK2_SY6 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( big_f @ SV2 @ ( sK2_SY6 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( big_f @ SV1 @ sK1_X )
| ~ ~ ( big_f @ ( sK2_SY6 @ SV2 @ SV1 ) @ SV2 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(11,plain,
! [SV1: $i,SV2: $i] :
( ( ~ ( big_f @ sK1_X @ ( sK2_SY6 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( big_f @ SV1 @ ( sK2_SY6 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( big_f @ SV2 @ ( sK2_SY6 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( big_f @ SV1 @ sK1_X )
| ~ ~ ( big_f @ ( sK2_SY6 @ SV2 @ SV1 ) @ SV2 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(12,plain,
! [SV1: $i,SV2: $i] :
( ( ~ ( big_f @ sK1_X @ ( sK2_SY6 @ SV2 @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[11]) ).
thf(13,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ~ ( ~ ( big_f @ SV1 @ ( sK2_SY6 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( big_f @ SV2 @ ( sK2_SY6 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( big_f @ SV1 @ sK1_X )
| ~ ~ ( big_f @ ( sK2_SY6 @ SV2 @ SV1 ) @ SV2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[11]) ).
thf(14,plain,
! [SV1: $i,SV2: $i] :
( ( big_f @ sK1_X @ ( sK2_SY6 @ SV2 @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[12]) ).
thf(15,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ( ~ ( big_f @ SV1 @ ( sK2_SY6 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( big_f @ SV2 @ ( sK2_SY6 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( big_f @ SV1 @ sK1_X )
| ~ ~ ( big_f @ ( sK2_SY6 @ SV2 @ SV1 ) @ SV2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ( big_f @ SV1 @ ( sK2_SY6 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( big_f @ SV2 @ ( sK2_SY6 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( big_f @ SV1 @ sK1_X )
| ~ ~ ( big_f @ ( sK2_SY6 @ SV2 @ SV1 ) @ SV2 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(17,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ( big_f @ SV1 @ ( sK2_SY6 @ SV2 @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(18,plain,
! [SV1: $i,SV2: $i] :
( ( ~ ~ ( ~ ( big_f @ SV2 @ ( sK2_SY6 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( big_f @ SV1 @ sK1_X )
| ~ ~ ( big_f @ ( sK2_SY6 @ SV2 @ SV1 ) @ SV2 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[16]) ).
thf(19,plain,
! [SV2: $i,SV1: $i] :
( ( big_f @ SV1 @ ( sK2_SY6 @ SV2 @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(20,plain,
! [SV1: $i,SV2: $i] :
( ( ~ ( ~ ( big_f @ SV2 @ ( sK2_SY6 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( big_f @ SV1 @ sK1_X )
| ~ ~ ( big_f @ ( sK2_SY6 @ SV2 @ SV1 ) @ SV2 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[18]) ).
thf(21,plain,
! [SV1: $i,SV2: $i] :
( ( ~ ( big_f @ SV2 @ ( sK2_SY6 @ SV2 @ SV1 ) )
| ~ ~ ( ~ ( big_f @ SV1 @ sK1_X )
| ~ ~ ( big_f @ ( sK2_SY6 @ SV2 @ SV1 ) @ SV2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(22,plain,
! [SV1: $i,SV2: $i] :
( ( ~ ( big_f @ SV2 @ ( sK2_SY6 @ SV2 @ SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(23,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ~ ( ~ ( big_f @ SV1 @ sK1_X )
| ~ ~ ( big_f @ ( sK2_SY6 @ SV2 @ SV1 ) @ SV2 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(24,plain,
! [SV1: $i,SV2: $i] :
( ( big_f @ SV2 @ ( sK2_SY6 @ SV2 @ SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[22]) ).
thf(25,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ( ~ ( big_f @ SV1 @ sK1_X )
| ~ ~ ( big_f @ ( sK2_SY6 @ SV2 @ SV1 ) @ SV2 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(26,plain,
! [SV2: $i,SV1: $i] :
( ( ~ ( big_f @ SV1 @ sK1_X )
| ~ ~ ( big_f @ ( sK2_SY6 @ SV2 @ SV1 ) @ SV2 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(27,plain,
! [SV1: $i] :
( ( ~ ( big_f @ SV1 @ sK1_X ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(28,plain,
! [SV1: $i,SV2: $i] :
( ( ~ ~ ( big_f @ ( sK2_SY6 @ SV2 @ SV1 ) @ SV2 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[26]) ).
thf(29,plain,
! [SV1: $i] :
( ( big_f @ SV1 @ sK1_X )
= $true ),
inference(extcnf_not_neg,[status(thm)],[27]) ).
thf(30,plain,
! [SV1: $i,SV2: $i] :
( ( ~ ( big_f @ ( sK2_SY6 @ SV2 @ SV1 ) @ SV2 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(31,plain,
! [SV1: $i,SV2: $i] :
( ( big_f @ ( sK2_SY6 @ SV2 @ SV1 ) @ SV2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(32,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[14,31,29,24,19]) ).
thf(33,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN336+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 22:56:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.36 (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).
% 0.13/0.39
% 0.13/0.39 ********************************
% 0.13/0.39 * All subproblems solved! *
% 0.13/0.39 ********************************
% 0.13/0.39 % SZS status Theorem for /export/starexec/sandbox/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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:32,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.39
% 0.13/0.39 %**** Beginning of derivation protocol ****
% 0.13/0.39 % SZS output start CNFRefutation
% See solution above
% 0.13/0.39
% 0.13/0.39 %**** End of derivation protocol ****
% 0.13/0.39 %**** no. of clauses in derivation: 33 ****
% 0.13/0.39 %**** clause counter: 32 ****
% 0.13/0.39
% 0.13/0.39 % SZS status Theorem for /export/starexec/sandbox/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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:32,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------