%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO039^1 : 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 : n014.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 11:07:26 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.22s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 28 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 224 ( 90 equ; 0 cnn)
% Maximal formula atoms : 3 ( 8 avg)
% Number of connectives : 153 ( 45 ~; 16 |; 0 &; 92 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 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_h,type,
h: $o > $i ).
thf(1,axiom,
( ( h
@ ( ( h @ $false )
= ( h @ ~ $false ) ) )
!= ( h @ $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',1) ).
thf(5,plain,
( ( ( h
@ ( ( h @ $false )
= ( h @ ~ $false ) ) )
!= ( h @ $false ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(7,plain,
( ( ( h
@ ( ( h @ $false )
= ( h @ ~ $false ) ) )
!= ( h @ $false ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(8,plain,
( ( ( h
@ ( ( h @ $false )
= ( h @ ~ $false ) ) )
!= ( h @ $false ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(10,plain,
( ( ( h
@ ( ( h @ $false )
= ( h @ ~ $false ) ) )
= ( h @ $false ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[8]) ).
thf(12,plain,
( ( ( ( h @ $false )
= ( h @ ~ $false ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[10]) ).
thf(14,plain,
( ( ( h @ $false )
= ( h @ ~ $false ) )
= $true ),
inference(sim,[status(thm)],[12]) ).
thf(18,plain,
( ( ( ( h @ $false )
= ( h @ ~ $false ) )
= ( ( h
@ ( ( h @ $false )
= ( h @ ~ $false ) ) )
= ( h @ $false ) ) )
= $false ),
inference(res,[status(thm)],[14,10]) ).
thf(20,plain,
( ( ( ~ $false ) = $false )
| ( ( ( h @ $false )
= ( h @ ~ $false ) )
= $false ) ),
inference(extuni,[status(esa)],[18]) ).
thf(21,plain,
( ( ( h @ ~ $false )
= ( h
@ ( ( h @ $false )
= ( h @ ~ $false ) ) ) )
= $false ),
inference(extuni,[status(esa)],[18]) ).
thf(24,plain,
( ( ( ( h @ ~ $false )
= ( h @ $false ) )
= $false )
| ( $false = $true )
| ( ( ( h @ $false )
= ( h @ ~ $false ) )
= $true ) ),
inference(extuni,[status(esa)],[18]) ).
thf(30,plain,
( ( ( ( h @ ~ $false )
= ( h @ $false ) )
= $false )
| ( ( ( h @ $false )
= ( h
@ ( ( h @ $false )
= ( h @ ~ $false ) ) ) )
= $false ) ),
inference(extuni,[status(esa)],[18]) ).
thf(37,plain,
( ( $false = $true )
| ( ( ( h @ $false )
= ( h @ ~ $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(39,plain,
( ( ( ( h @ ~ $false )
= ( h @ $false ) )
= $false )
| ( ( ( h @ $false )
= ( h @ ~ $false ) )
= $true ) ),
inference(sim,[status(thm)],[24]) ).
thf(40,plain,
( ( ( h @ $false )
= ( h @ ~ $false ) )
= $false ),
inference(sim,[status(thm)],[37]) ).
thf(41,plain,
( ( ( ( h @ ~ $false )
= ( h
@ ( ( h @ $false )
= ( h @ ~ $false ) ) ) )
= ( ( h @ $false )
= ( h @ ~ $false ) ) )
= $false ),
inference(res,[status(thm)],[21,14]) ).
thf(42,plain,
( ( ( ( h @ $false )
= ( h @ ~ $false ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[41]) ).
thf(44,plain,
( ( ( h
@ ( ( h @ $false )
= ( h @ ~ $false ) ) )
= ( h @ $false ) )
= $false ),
inference(extuni,[status(esa)],[41]) ).
thf(52,plain,
( ( ( ( h @ $false )
= ( h @ ~ $false ) )
= $false )
| ( ( ~ $false ) = $false )
| ( ( ( h @ ~ $false )
= ( h @ $false ) )
= $false ) ),
inference(extuni,[status(esa)],[41]) ).
thf(53,plain,
( ( ( ( h
@ ( ( h @ $false )
= ( h @ ~ $false ) ) )
= ( h @ ~ $false ) )
= $false )
| ( ( ( h @ ~ $false )
= ( h @ $false ) )
= $false ) ),
inference(extuni,[status(esa)],[41]) ).
thf(55,plain,
( ( ( ~ $false ) = $false )
| ( ( ( h @ $false )
= ( h @ ~ $false ) )
= $false ) ),
inference(extuni,[status(esa)],[21]) ).
thf(56,plain,
( ( $false = $true )
| ( ( ( h @ $false )
= ( h @ ~ $false ) )
= $false )
| ( ( ( h @ ~ $false )
= ( h @ $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[52]) ).
thf(64,plain,
( ( $false = $true )
| ( ( ( h @ $false )
= ( h @ ~ $false ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[55]) ).
thf(70,plain,
( ( ( ( h @ $false )
= ( h @ ~ $false ) )
= $false )
| ( ( ( h @ ~ $false )
= ( h @ $false ) )
= $false ) ),
inference(sim,[status(thm)],[56]) ).
thf(71,plain,
( ( ( h @ $false )
= ( h @ ~ $false ) )
= $true ),
inference(sim,[status(thm)],[42]) ).
thf(72,plain,
( ( ( h @ $false )
= ( h @ ~ $false ) )
= $false ),
inference(sim,[status(thm)],[64]) ).
thf(73,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[10,72,71,70,53,44,40,39,30,21,14]) ).
thf(74,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO039^1 : 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
% 0.11/0.17 % Computer : n014.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Tue Oct 6 17:30:41 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.22
% 0.11/0.22 No.of.Axioms: 1
% 0.11/0.22
% 0.11/0.22 Length.of.Defs: 0
% 0.11/0.22
% 0.11/0.22 Contains.Choice.Funs: false
% 0.11/0.22
% 0.11/0.22 ********************************
% 0.11/0.22 * All subproblems solved! *
% 0.11/0.22 ********************************
% 0.11/0.22 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,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:73,loop_count:5,foatp_calls:3,translation:fof_full)
% 0.11/0.22
% 0.11/0.22 %**** Beginning of derivation protocol ****
% 0.11/0.22 % SZS output start CNFRefutation
% See solution above
% 0.11/0.22
% 0.11/0.22 %**** End of derivation protocol ****
% 0.11/0.22 %**** no. of clauses in derivation: 28 ****
% 0.11/0.22 %**** clause counter: 73 ****
% 0.11/0.22
% 0.11/0.22 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:1,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:73,loop_count:5,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------