TSTP Solution File: SYO512^1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO512^1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n018.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 17:35:16 EDT 2022
% Result : Theorem 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 23 ( 14 unt; 4 typ; 0 def)
% Number of atoms : 54 ( 18 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 70 ( 7 ~; 6 |; 0 &; 56 @)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 0 ^ 19 !; 2 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_eps,type,
eps: ( $i > $o ) > $i ).
thf(tp_r,type,
r: $i > $i > $o ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(tp_sK2_Y,type,
sK2_Y: $i > $i ).
thf(1,axiom,
! [X: $i] :
? [Y: $i] : ( r @ X @ Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rtotal) ).
thf(2,axiom,
! [P: $i > $o] :
( ? [X: $i] : ( P @ X )
=> ( P @ ( eps @ P ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',epschoice) ).
thf(3,conjecture,
! [X: $i] : ( r @ X @ ( eps @ ( r @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',claim) ).
thf(4,negated_conjecture,
( ( ! [X: $i] : ( r @ X @ ( eps @ ( r @ X ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,plain,
( ( r @ sK1_X @ ( eps @ ( r @ sK1_X ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ~ ( r @ sK1_X @ ( eps @ ( r @ sK1_X ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [X: $i] : ( r @ X @ ( sK2_Y @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[1]) ).
thf(8,plain,
( ( ! [P: $i > $o] :
( ! [X: $i] :
~ ( P @ X )
| ( P @ ( eps @ P ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[2]) ).
thf(9,plain,
( ( ! [P: $i > $o] :
( ! [X: $i] :
~ ( P @ X )
| ( P @ ( eps @ P ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [X: $i] : ( r @ X @ ( sK2_Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ( r @ sK1_X @ ( eps @ ( r @ sK1_X ) ) ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(12,plain,
! [SV1: $i > $o] :
( ( ! [SY0: $i] :
~ ( SV1 @ SY0 )
| ( SV1 @ ( eps @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(13,plain,
! [SV2: $i] :
( ( r @ SV2 @ ( sK2_Y @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[10]) ).
thf(14,plain,
( ( r @ sK1_X @ ( eps @ ( r @ sK1_X ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(15,plain,
! [SV1: $i > $o] :
( ( ( ! [SY0: $i] :
~ ( SV1 @ SY0 ) )
= $true )
| ( ( SV1 @ ( eps @ SV1 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[12]) ).
thf(16,plain,
! [SV3: $i,SV1: $i > $o] :
( ( ( ~ ( SV1 @ SV3 ) )
= $true )
| ( ( SV1 @ ( eps @ SV1 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(17,plain,
! [SV3: $i,SV1: $i > $o] :
( ( ( SV1 @ SV3 )
= $false )
| ( ( SV1 @ ( eps @ SV1 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(18,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[13,17,14]) ).
thf(19,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYO512^1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.33 % Computer : n018.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
% 0.12/0.34 % DateTime : Fri Jul 8 21:40:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 2
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: true
% 0.12/0.34 (rf:0,axioms:2,ps:3,u:1,ude:false,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:4,loop_count:0,foatp_calls:0,translation:fof_full)
% 0.12/0.36 ********************************
% 0.12/0.36 * All subproblems solved! *
% 0.12/0.36 ********************************
% 0.12/0.36 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:1,ude:false,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:18,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.12/0.37
% 0.12/0.37 %**** Beginning of derivation protocol ****
% 0.12/0.37 % SZS output start CNFRefutation
% See solution above
% 0.12/0.37
% 0.12/0.37 %**** End of derivation protocol ****
% 0.12/0.37 %**** no. of clauses in derivation: 19 ****
% 0.12/0.37 %**** clause counter: 18 ****
% 0.12/0.37
% 0.12/0.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:2,ps:3,u:1,ude:false,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:18,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------