TSTP Solution File: SYN992^1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN992^1 : TPTP v8.1.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n026.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 08:31:07 EDT 2022
% Result : Theorem 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 14 ( 12 unt; 2 typ; 1 def)
% Number of atoms : 27 ( 13 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 30 ( 4 ~; 0 |; 0 &; 26 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 24 ( 24 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 5 ^ 7 !; 4 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_refl,type,
refl: ( $i > $i > $o ) > $o ).
thf(tp_sK1_SY1,type,
sK1_SY1: ( $i > $i > $o ) > $i ).
thf(refl,definition,
( refl
= ( ^ [R: $i > $i > $o] :
! [X: $i] : ( R @ X @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refl) ).
thf(1,conjecture,
? [R: $i > $i > $o] : ( refl @ R ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax) ).
thf(2,negated_conjecture,
( ( ? [R: $i > $i > $o] : ( refl @ R ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ? [SY0: $i > $i > $o] :
! [SY1: $i] : ( SY0 @ SY1 @ SY1 ) )
= $false ),
inference(unfold_def,[status(thm)],[2,refl]) ).
thf(4,plain,
( ( ~ ? [SY0: $i > $i > $o] :
! [SY1: $i] : ( SY0 @ SY1 @ SY1 ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [SY0: $i > $i > $o] :
~ ( SY0 @ ( sK1_SY1 @ SY0 ) @ ( sK1_SY1 @ SY0 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY0: $i > $i > $o] :
~ ( SY0 @ ( sK1_SY1 @ SY0 ) @ ( sK1_SY1 @ SY0 ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
! [SV1: $i > $i > $o] :
( ( ~ ( SV1 @ ( sK1_SY1 @ SV1 ) @ ( sK1_SY1 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6]) ).
thf(8,plain,
! [SV1: $i > $i > $o] :
( ( SV1 @ ( sK1_SY1 @ SV1 ) @ ( sK1_SY1 @ SV1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7]) ).
thf(9,plain,
( ( ( sK1_SY1
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) )
= ( sK1_SY1
@ ^ [SX0: $i,SX1: $i] : ( SX0 = SX1 ) ) )
= $false ),
inference(replace_andrewsEQ,[status(thm)],[8:[bind(SV1,$thf( ^ [SV3: $i] : ^ [SV2: $i] : ( SV3 = SV2 ) ))]]) ).
thf(10,plain,
$false = $true,
inference(sim,[status(thm)],[9]) ).
thf(11,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN992^1 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.03/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.32 % Computer : n026.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Mon Jul 11 13:38:57 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.13/0.32
% 0.13/0.32 No.of.Axioms: 0
% 0.13/0.32
% 0.13/0.32 Length.of.Defs: 138
% 0.13/0.32
% 0.13/0.32 Contains.Choice.Funs: false
% 0.13/0.32 (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)
% 0.13/0.34 ********************************
% 0.13/0.34 * All subproblems solved! *
% 0.13/0.34 ********************************
% 0.13/0.34 % 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:10,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.34
% 0.13/0.34 %**** Beginning of derivation protocol ****
% 0.13/0.34 % SZS output start CNFRefutation
% See solution above
% 0.13/0.34
% 0.13/0.34 %**** End of derivation protocol ****
% 0.13/0.34 %**** no. of clauses in derivation: 11 ****
% 0.13/0.34 %**** clause counter: 10 ****
% 0.13/0.34
% 0.13/0.34 % 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:10,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------