TSTP Solution File: SEU551^2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SEU551^2 : 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 : n011.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 : Tue Jul 19 12:12:48 EDT 2022
% Result : Theorem 0.16s 0.40s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 9 unt; 1 typ; 0 def)
% Number of atoms : 23 ( 11 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 1 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 1 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_emptyset,type,
emptyset: $i ).
thf(1,conjecture,
emptyset = emptyset,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',emptyset__Cong) ).
thf(2,negated_conjecture,
( ( emptyset = emptyset )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( emptyset = emptyset )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( emptyset != emptyset ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ~ $true )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ~ $true )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
$true = $false,
inference(extcnf_not_pos,[status(thm)],[6]) ).
thf(8,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[7]) ).
thf(9,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : SEU551^2 : TPTP v8.1.0. Bugfixed v4.0.0.
% 0.13/0.15 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.16/0.37 % Computer : n011.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 600
% 0.16/0.37 % DateTime : Sun Jun 19 13:38:09 EDT 2022
% 0.16/0.37 % CPUTime :
% 0.16/0.38
% 0.16/0.38 No.of.Axioms: 0
% 0.16/0.38
% 0.16/0.38 Length.of.Defs: 0
% 0.16/0.38
% 0.16/0.38 Contains.Choice.Funs: false
% 0.16/0.38 (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)
% 0.16/0.40 ********************************
% 0.16/0.40 * All subproblems solved! *
% 0.16/0.40 ********************************
% 0.16/0.40 % 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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:8,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.16/0.40
% 0.16/0.40 %**** Beginning of derivation protocol ****
% 0.16/0.40 % SZS output start CNFRefutation
% See solution above
% 0.16/0.40
% 0.16/0.40 %**** End of derivation protocol ****
% 0.16/0.40 %**** no. of clauses in derivation: 9 ****
% 0.16/0.40 %**** clause counter: 8 ****
% 0.16/0.40
% 0.16/0.40 % 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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:8,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------