TSTP Solution File: PUZ102^5 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : PUZ102^5 : TPTP v8.1.0. Bugfixed v5.2.0.
% 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 : Mon Jul 18 18:19:38 EDT 2022
% Result : Theorem 0.19s 0.37s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 18 unt; 4 typ; 1 def)
% Number of atoms : 66 ( 20 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 100 ( 6 ~; 5 |; 4 &; 76 @)
% ( 0 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 18 ( 2 ^ 16 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cCKB_E2,type,
cCKB_E2: $i > $i > $o ).
thf(tp_s,type,
s: $i > $i ).
thf(tp_sK1_SY0,type,
sK1_SY0: $i ).
thf(tp_sK2_SY9,type,
sK2_SY9: $i > $o ).
thf(cCKB_E2,definition,
( cCKB_E2
= ( ^ [Xx: $i,Xy: $i] :
! [Xp: $i > $o] :
( ( ( Xp @ Xx )
& ! [Xu: $i] :
( ( Xp @ Xu )
=> ( Xp @ ( s @ ( s @ Xu ) ) ) ) )
=> ( Xp @ Xy ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCKB_E2) ).
thf(1,conjecture,
! [Xx: $i] : ( cCKB_E2 @ Xx @ ( s @ ( s @ Xx ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCKB_L33000) ).
thf(2,negated_conjecture,
( ( ! [Xx: $i] : ( cCKB_E2 @ Xx @ ( s @ ( s @ Xx ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [SY0: $i,SY4: $i > $o] :
( ( ( SY4 @ SY0 )
& ! [Xu: $i] :
( ( SY4 @ Xu )
=> ( SY4 @ ( s @ ( s @ Xu ) ) ) ) )
=> ( SY4 @ ( s @ ( s @ SY0 ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2,cCKB_E2]) ).
thf(4,plain,
( ( ! [SY9: $i > $o] :
( ( ( SY9 @ sK1_SY0 )
& ! [Xu: $i] :
( ( SY9 @ Xu )
=> ( SY9 @ ( s @ ( s @ Xu ) ) ) ) )
=> ( SY9 @ ( s @ ( s @ sK1_SY0 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ( ( sK2_SY9 @ sK1_SY0 )
& ! [SY11: $i] :
( ( sK2_SY9 @ SY11 )
=> ( sK2_SY9 @ ( s @ ( s @ SY11 ) ) ) ) )
=> ( sK2_SY9 @ ( s @ ( s @ sK1_SY0 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( sK2_SY9 @ sK1_SY0 )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SY11: $i] :
( ( sK2_SY9 @ SY11 )
=> ( sK2_SY9 @ ( s @ ( s @ SY11 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(8,plain,
( ( sK2_SY9 @ ( s @ ( s @ sK1_SY0 ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[5]) ).
thf(9,plain,
( ( ~ ( sK2_SY9 @ ( s @ ( s @ sK1_SY0 ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(10,plain,
( ( ! [SY11: $i] :
( ~ ( sK2_SY9 @ SY11 )
| ( sK2_SY9 @ ( s @ ( s @ SY11 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(11,plain,
( ( ! [SY11: $i] :
( ~ ( sK2_SY9 @ SY11 )
| ( sK2_SY9 @ ( s @ ( s @ SY11 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(12,plain,
( ( sK2_SY9 @ sK1_SY0 )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(13,plain,
( ( ~ ( sK2_SY9 @ ( s @ ( s @ sK1_SY0 ) ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(14,plain,
! [SV1: $i] :
( ( ~ ( sK2_SY9 @ SV1 )
| ( sK2_SY9 @ ( s @ ( s @ SV1 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[11]) ).
thf(15,plain,
( ( sK2_SY9 @ ( s @ ( s @ sK1_SY0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(16,plain,
! [SV1: $i] :
( ( ( ~ ( sK2_SY9 @ SV1 ) )
= $true )
| ( ( sK2_SY9 @ ( s @ ( s @ SV1 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[14]) ).
thf(17,plain,
! [SV1: $i] :
( ( ( sK2_SY9 @ SV1 )
= $false )
| ( ( sK2_SY9 @ ( s @ ( s @ SV1 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(18,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[12,17,15]) ).
thf(19,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : PUZ102^5 : TPTP v8.1.0. Bugfixed v5.2.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n024.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun May 29 00:14:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 205
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (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: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)
% 0.19/0.37 ********************************
% 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:2,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:18,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: 19 ****
% 0.19/0.37 %**** clause counter: 18 ****
% 0.19/0.37
% 0.19/0.37 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:2,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:18,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------