%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO345^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 11:08:05 AM UTC 2026
% Result : Theorem 0.11s 0.26s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 24 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 174 ( 71 equ; 0 cnn)
% Maximal formula atoms : 3 ( 7 avg)
% Number of connectives : 88 ( 2 ~; 8 |; 0 &; 78 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cH,type,
cH: $o > $i ).
thf(1,conjecture,
( ( cH
@ ( ( cH @ $true )
= ( cH @ $false ) ) )
= ( cH @ $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM615) ).
thf(2,negated_conjecture,
( ( ( cH
@ ( ( cH @ $true )
= ( cH @ $false ) ) )
= ( cH @ $false ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( cH
@ ( ( cH @ $true )
= ( cH @ $false ) ) )
= ( cH @ $false ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( cH
@ ( ( cH @ $true )
= ( cH @ $false ) ) )
!= ( cH @ $false ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ( cH
@ ( ( cH @ $true )
= ( cH @ $false ) ) )
!= ( cH @ $false ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(6,plain,
( ( ( cH
@ ( ( cH @ $true )
= ( cH @ $false ) ) )
= ( cH @ $false ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5]) ).
thf(7,plain,
( ( ( ( cH @ $true )
= ( cH @ $false ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[6]) ).
thf(9,plain,
( ( ( cH @ $true )
= ( cH @ $false ) )
= $true ),
inference(sim,[status(thm)],[7]) ).
thf(13,plain,
( ( ( ( cH @ $true )
= ( cH @ $false ) )
= ( ( cH
@ ( ( cH @ $true )
= ( cH @ $false ) ) )
= ( cH @ $false ) ) )
= $false ),
inference(res,[status(thm)],[9,6]) ).
thf(22,plain,
( ( ( ( cH @ $true )
= ( cH @ $false ) )
= $false )
| ( ( ( cH @ $false )
= ( cH
@ ( ( cH @ $true )
= ( cH @ $false ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[13]) ).
thf(24,plain,
( ( $true = $false )
| ( ( ( cH @ $true )
= ( cH @ $false ) )
= $false ) ),
inference(extuni,[status(esa)],[13]) ).
thf(25,plain,
( ( ( cH @ $true )
= ( cH
@ ( ( cH @ $true )
= ( cH @ $false ) ) ) )
= $false ),
inference(extuni,[status(esa)],[13]) ).
thf(26,plain,
( ( ( cH @ $true )
= ( cH @ $false ) )
= $false ),
inference(sim,[status(thm)],[24]) ).
thf(27,plain,
( ( ( ( cH @ $true )
= ( cH
@ ( ( cH @ $true )
= ( cH @ $false ) ) ) )
= ( ( cH @ $true )
= ( cH @ $false ) ) )
= $false ),
inference(res,[status(thm)],[25,9]) ).
thf(33,plain,
( ( ( ( cH @ $true )
= ( cH @ $false ) )
= $false )
| ( ( ( cH @ $true )
= ( cH @ $false ) )
= $false )
| ( $true = $false ) ),
inference(extuni,[status(esa)],[27]) ).
thf(36,plain,
( ( ( ( cH @ $true )
= ( cH @ $false ) )
= $false )
| ( ( ( cH
@ ( ( cH @ $true )
= ( cH @ $false ) ) )
= ( cH @ $true ) )
= $false ) ),
inference(extuni,[status(esa)],[27]) ).
thf(37,plain,
( ( ( ( cH @ $true )
= ( cH @ $false ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[27]) ).
thf(39,plain,
( ( ( cH
@ ( ( cH @ $true )
= ( cH @ $false ) ) )
= ( cH @ $false ) )
= $false ),
inference(extuni,[status(esa)],[27]) ).
thf(41,plain,
( ( $true = $false )
| ( ( ( cH @ $true )
= ( cH @ $false ) )
= $false ) ),
inference(extuni,[status(esa)],[25]) ).
thf(42,plain,
( ( ( cH @ $true )
= ( cH @ $false ) )
= $true ),
inference(sim,[status(thm)],[37]) ).
thf(43,plain,
( ( ( cH @ $true )
= ( cH @ $false ) )
= $false ),
inference(sim,[status(thm)],[33]) ).
thf(44,plain,
( ( ( cH @ $true )
= ( cH @ $false ) )
= $false ),
inference(sim,[status(thm)],[41]) ).
thf(45,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[6,44,43,42,39,36,26,25,22,9]) ).
thf(46,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO345^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.19 % Computer : n009.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Tue Oct 6 17:35:32 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.26
% 0.11/0.26 No.of.Axioms: 0
% 0.11/0.26
% 0.11/0.26 Length.of.Defs: 0
% 0.11/0.26
% 0.11/0.26 Contains.Choice.Funs: false
% 0.11/0.26
% 0.11/0.26 ********************************
% 0.11/0.26 * All subproblems solved! *
% 0.11/0.26 ********************************
% 0.11/0.26 % 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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:45,loop_count:5,foatp_calls:3,translation:fof_experiment)
% 0.11/0.26
% 0.11/0.26 %**** Beginning of derivation protocol ****
% 0.11/0.26 % SZS output start CNFRefutation
% See solution above
% 0.11/0.26
% 0.11/0.26 %**** End of derivation protocol ****
% 0.11/0.26 %**** no. of clauses in derivation: 24 ****
% 0.11/0.26 %**** clause counter: 45 ****
% 0.11/0.26
% 0.11/0.26 % 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:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:45,loop_count:5,foatp_calls:3,translation:fof_experiment)
%------------------------------------------------------------------------------