TSTP Solution File: SYN403+1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN403+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 : 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 08:25:59 EDT 2022
% Result : Theorem 0.20s 0.37s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 17 unt; 4 typ; 0 def)
% Number of atoms : 100 ( 24 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 88 ( 8 ~; 8 |; 4 &; 50 @)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 3 ( 3 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 0 ^ 3 !; 0 ?; 3 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_f,type,
f: $i > $o ).
thf(tp_g,type,
g: $i > $o ).
thf(tp_h,type,
h: $i > $o ).
thf(tp_sK1_X,type,
sK1_X: $i ).
thf(1,conjecture,
! [X: $i] :
( ( ( ( f @ X )
=> ( g @ X ) )
& ( ( g @ X )
=> ( h @ X ) ) )
=> ( ( f @ X )
=> ( h @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kalish234) ).
thf(2,negated_conjecture,
( ( ! [X: $i] :
( ( ( ( f @ X )
=> ( g @ X ) )
& ( ( g @ X )
=> ( h @ X ) ) )
=> ( ( f @ X )
=> ( h @ X ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [X: $i] :
( ( ( ( f @ X )
=> ( g @ X ) )
& ( ( g @ X )
=> ( h @ X ) ) )
=> ( ( f @ X )
=> ( h @ X ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( ( ( f @ sK1_X )
=> ( g @ sK1_X ) )
& ( ( g @ sK1_X )
=> ( h @ sK1_X ) ) )
=> ( ( f @ sK1_X )
=> ( h @ sK1_X ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ( f @ sK1_X )
=> ( g @ sK1_X ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(6,plain,
( ( ( g @ sK1_X )
=> ( h @ sK1_X ) )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(7,plain,
( ( f @ sK1_X )
= $true ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(8,plain,
( ( h @ sK1_X )
= $false ),
inference(standard_cnf,[status(thm)],[4]) ).
thf(9,plain,
( ( ~ ( h @ sK1_X ) )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(10,plain,
( ( ~ ( f @ sK1_X )
| ( g @ sK1_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(11,plain,
( ( ~ ( g @ sK1_X )
| ( h @ sK1_X ) )
= $true ),
inference(extcnf_combined,[status(esa)],[6]) ).
thf(12,plain,
( ( f @ sK1_X )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(13,plain,
( ( ~ ( g @ sK1_X )
| ( h @ sK1_X ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ( f @ sK1_X )
| ( g @ sK1_X ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(15,plain,
( ( ~ ( h @ sK1_X ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(16,plain,
( ( ( ~ ( g @ sK1_X ) )
= $true )
| ( ( h @ sK1_X )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[13]) ).
thf(17,plain,
( ( ( ~ ( f @ sK1_X ) )
= $true )
| ( ( g @ sK1_X )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[14]) ).
thf(18,plain,
( ( h @ sK1_X )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(19,plain,
( ( ( g @ sK1_X )
= $false )
| ( ( h @ sK1_X )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(20,plain,
( ( ( f @ sK1_X )
= $false )
| ( ( g @ sK1_X )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(21,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[12,20,19,18]) ).
thf(22,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN403+1 : TPTP v8.1.0. Released v2.0.0.
% 0.12/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n018.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 : Tue Jul 12 04:39:44 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.35
% 0.20/0.35 No.of.Axioms: 0
% 0.20/0.35
% 0.20/0.35 Length.of.Defs: 0
% 0.20/0.35
% 0.20/0.35 Contains.Choice.Funs: false
% 0.20/0.35 (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)
% 0.20/0.37 ********************************
% 0.20/0.37 * All subproblems solved! *
% 0.20/0.37 ********************************
% 0.20/0.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:21,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.37
% 0.20/0.37 %**** Beginning of derivation protocol ****
% 0.20/0.37 % SZS output start CNFRefutation
% See solution above
% 0.20/0.37
% 0.20/0.37 %**** End of derivation protocol ****
% 0.20/0.37 %**** no. of clauses in derivation: 22 ****
% 0.20/0.37 %**** clause counter: 21 ****
% 0.20/0.37
% 0.20/0.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:21,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------