TSTP Solution File: SYN960+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN960+1 : TPTP v8.1.0. Released v3.1.0.
% 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 08:30:49 EDT 2022
% Result : Theorem 0.20s 0.40s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 37 ( 31 unt; 5 typ; 0 def)
% Number of atoms : 107 ( 30 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 135 ( 32 ~; 4 |; 4 &; 88 @)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 6 con; 0-2 aty)
% Number of variables : 64 ( 0 ^ 36 !; 28 ?; 64 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i > $i > $o ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_SY4,type,
sK2_SY4: $i ).
thf(tp_sK3_Y,type,
sK3_Y: $i ).
thf(tp_sK4_SY5,type,
sK4_SY5: $i ).
thf(1,conjecture,
( ? [X: $i,Y: $i] : ( a @ X @ Y )
<=> ? [Y: $i,X: $i] : ( a @ X @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this) ).
thf(2,negated_conjecture,
( ( ? [X: $i,Y: $i] : ( a @ X @ Y )
<=> ? [Y: $i,X: $i] : ( a @ X @ Y ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ? [X: $i,Y: $i] : ( a @ X @ Y )
<=> ? [Y: $i,X: $i] : ( a @ X @ Y ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ? [X: $i,Y: $i] : ( a @ X @ Y )
=> ? [Y: $i,X: $i] : ( a @ X @ Y ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(5,plain,
( ( ? [Y: $i,X: $i] : ( a @ X @ Y )
=> ? [X: $i,Y: $i] : ( a @ X @ Y ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(6,plain,
( ( ~ ( ? [X: $i,Y: $i] : ( a @ X @ Y )
=> ? [Y: $i,X: $i] : ( a @ X @ Y ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(7,plain,
( ( ~ ( ? [Y: $i,X: $i] : ( a @ X @ Y )
=> ? [X: $i,Y: $i] : ( a @ X @ Y ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(8,plain,
( ( ( a @ sK1_X @ sK2_SY4 )
& ! [Y: $i,X: $i] :
~ ( a @ X @ Y ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(9,plain,
( ( ( a @ sK4_SY5 @ sK3_Y )
& ! [X: $i,Y: $i] :
~ ( a @ X @ Y ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(10,plain,
( ( ( a @ sK1_X @ sK2_SY4 )
& ! [Y: $i,X: $i] :
~ ( a @ X @ Y ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ( ~ ( a @ sK1_X @ sK2_SY4 )
| ~ ! [SX0: $i,SX1: $i] :
~ ( a @ SX1 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(12,plain,
( ( ~ ( a @ sK1_X @ sK2_SY4 )
| ~ ! [SX0: $i,SX1: $i] :
~ ( a @ SX1 @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(13,plain,
( ( ~ ( a @ sK1_X @ sK2_SY4 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(14,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
~ ( a @ SX1 @ SX0 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[12]) ).
thf(15,plain,
( ( a @ sK1_X @ sK2_SY4 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[13]) ).
thf(16,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( a @ SX1 @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
! [SV1: $i] :
( ( ! [SY6: $i] :
~ ( a @ SY6 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(18,plain,
! [SV1: $i,SV2: $i] :
( ( ~ ( a @ SV2 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(19,plain,
! [SV1: $i,SV2: $i] :
( ( a @ SV2 @ SV1 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(20,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[15,19]) ).
thf(21,plain,
( ( ( a @ sK4_SY5 @ sK3_Y )
& ! [X: $i,Y: $i] :
~ ( a @ X @ Y ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(22,plain,
( ( ~ ( ~ ( a @ sK4_SY5 @ sK3_Y )
| ~ ! [SX0: $i,SX1: $i] :
~ ( a @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(23,plain,
( ( ~ ( a @ sK4_SY5 @ sK3_Y )
| ~ ! [SX0: $i,SX1: $i] :
~ ( a @ SX0 @ SX1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(24,plain,
( ( ~ ( a @ sK4_SY5 @ sK3_Y ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(25,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
~ ( a @ SX0 @ SX1 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[23]) ).
thf(26,plain,
( ( a @ sK4_SY5 @ sK3_Y )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(27,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( a @ SX0 @ SX1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[25]) ).
thf(28,plain,
! [SV3: $i] :
( ( ! [SY7: $i] :
~ ( a @ SV3 @ SY7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(29,plain,
! [SV4: $i,SV3: $i] :
( ( ~ ( a @ SV3 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[28]) ).
thf(30,plain,
! [SV4: $i,SV3: $i] :
( ( a @ SV3 @ SV4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(31,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[26,30]) ).
thf(32,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[31,20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN960+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 12 01:24:01 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 0
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.35 (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).
% 0.20/0.40
% 0.20/0.40 ********************************
% 0.20/0.40 * All subproblems solved! *
% 0.20/0.40 ********************************
% 0.20/0.40 % 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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:31,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.40
% 0.20/0.40 %**** Beginning of derivation protocol ****
% 0.20/0.40 % SZS output start CNFRefutation
% See solution above
% 0.20/0.40
% 0.20/0.40 %**** End of derivation protocol ****
% 0.20/0.40 %**** no. of clauses in derivation: 32 ****
% 0.20/0.40 %**** clause counter: 31 ****
% 0.20/0.40
% 0.20/0.40 % 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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:31,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------