%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO017^1 : TPTP v9.3.1. Released v3.7.0.
% 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 : n016.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 11:07:22 AM UTC 2026
% Result : Theorem 0.12s 0.23s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 1
% Syntax : Number of formulae : 17 ( 13 unt; 0 typ; 0 def)
% Number of atoms : 163 ( 46 equ; 0 cnn)
% Maximal formula atoms : 2 ( 9 avg)
% Number of connectives : 56 ( 2 ~; 4 |; 0 &; 50 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 1 avg)
% Number of types : 1 ( 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 > $o ).
thf(1,conjecture,
( ( h
@ ( ( h @ $true )
= ( h @ $false ) ) )
= ( h @ $false ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
thf(2,negated_conjecture,
( ( ( h
@ ( ( h @ $true )
= ( h @ $false ) ) )
= ( h @ $false ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( h
@ ( ( h @ $true )
= ( h @ $false ) ) )
= ( h @ $false ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ( h
@ ( ( h @ $true )
= ( h @ $false ) ) )
!= ( h @ $false ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ( h
@ ( ( h @ $true )
= ( h @ $false ) ) )
!= ( h @ $false ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(6,plain,
( ( ( h
@ ( ( h @ $true )
= ( h @ $false ) ) )
= ( h @ $false ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[5]) ).
thf(8,plain,
( ( ( h
@ ( ( h @ $true )
= ( h @ $false ) ) )
= ( h @ $false ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[6]) ).
thf(43,plain,
( ( ( ( h @ $true )
= ( h @ $false ) )
= $true )
| ( $false = $true ) ),
inference(extuni,[status(esa)],[8]) ).
thf(56,plain,
( ( ( ( h @ $true )
= ( h @ $false ) )
= $true )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[43]) ).
thf(132,plain,
( ( ( h @ $true )
= ( h @ $false ) )
= $true ),
inference(sim,[status(thm)],[56]) ).
thf(164,plain,
( ( ( ( h @ $true )
= ( h @ $false ) )
= ( ( h
@ ( ( h @ $true )
= ( h @ $false ) ) )
= ( h @ $false ) ) )
= $false ),
inference(res,[status(thm)],[132,8]) ).
thf(184,plain,
( ( $true = $false )
| ( ( ( h @ $true )
= ( h @ $false ) )
= $false ) ),
inference(extuni,[status(esa)],[164]) ).
thf(188,plain,
( ( ( ( h @ $true )
= ( h @ $false ) )
= $false )
| ( $true = $false ) ),
inference(extcnf_equal_neg,[status(thm)],[184]) ).
thf(319,plain,
( ( ( h @ $true )
= ( h @ $false ) )
= $false ),
inference(sim,[status(thm)],[188]) ).
thf(324,plain,
( ( ( ( h @ $true )
= ( h @ $false ) )
= ( ( h @ $true )
= ( h @ $false ) ) )
= $false ),
inference(res,[status(thm)],[319,132]) ).
thf(325,plain,
$false = $true,
inference(extuni,[status(esa)],[324]) ).
thf(326,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[325]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO017^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.18 % Computer : n016.cluster.edu
% 0.12/0.18 % Model : x86_64 x86_64
% 0.12/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.18 % Memory : 8046.5625MB
% 0.12/0.18 % OS : Linux 6.8.0-71-generic
% 0.12/0.18 % CPULimit : 300
% 0.12/0.18 % WCLimit : 300
% 0.12/0.18 % DateTime : Tue Oct 6 17:35:45 UTC 2026
% 0.12/0.19 % CPUTime :
% 0.12/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.23
% 0.12/0.23 No.of.Axioms: 0
% 0.12/0.23
% 0.12/0.23 Length.of.Defs: 0
% 0.12/0.23
% 0.12/0.23 Contains.Choice.Funs: false
% 0.12/0.23 ..
% 0.12/0.23
% 0.12/0.23 ********************************
% 0.12/0.23 * All subproblems solved! *
% 0.12/0.23 ********************************
% 0.12/0.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:0,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:325,loop_count:4,foatp_calls:2,translation:fof_full)
% 0.12/0.23
% 0.12/0.23 %**** Beginning of derivation protocol ****
% 0.12/0.23 % SZS output start CNFRefutation
% See solution above
% 0.12/0.23
% 0.12/0.23 %**** End of derivation protocol ****
% 0.12/0.23 %**** no. of clauses in derivation: 17 ****
% 0.12/0.23 %**** clause counter: 325 ****
% 0.12/0.23
% 0.12/0.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:0,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:325,loop_count:4,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------