%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO196^5 : 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 : n020.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 11:07:48 AM UTC 2026
% Result : Theorem 0.09s 0.19s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 1
% Syntax : Number of formulae : 41 ( 34 unt; 0 typ; 0 def)
% Number of atoms : 108 ( 45 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 102 ( 71 ~; 16 |; 6 &; 9 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 9 ( 9 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 4 con; 0-2 aty)
% Number of variables : 50 ( 0 ^; 46 !; 4 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK1_SX0,type,
sK1_SX0: $o ).
thf(tp_sK2_SX0,type,
sK2_SX0: $o ).
thf(1,conjecture,
? [Xp: $o > $o] :
( Xp
@ ! [Xy: $o] :
( Xy
& ~ Xy ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCT21) ).
thf(2,negated_conjecture,
( ( ? [Xp: $o > $o] :
( Xp
@ ! [Xy: $o] :
( Xy
& ~ Xy ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ? [Xp: $o > $o] :
( Xp
@ ! [Xy: $o] :
( Xy
& ~ Xy ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ~ ? [Xp: $o > $o] :
( Xp
@ ! [Xy: $o] :
( Xy
& ~ Xy ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xp: $o > $o] :
~ ( Xp
@ ( ! [Xy: $o] : Xy
& ! [Xy: $o] : ~ Xy ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [Xp: $o > $o] :
~ ( Xp
@ ( ! [Xy: $o] : Xy
& ! [Xy: $o] : ~ Xy ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
( ( ! [SX0: $o > $o] :
~ ( SX0
@ ~ ( ~ ! [SX1: $o] : SX1
| ~ ! [SX1: $o] : ~ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
! [SV1: $o > $o] :
( ( ~ ( SV1
@ ~ ( ~ ! [SX1: $o] : SX1
| ~ ! [SX1: $o] : ~ SX1 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[7]) ).
thf(9,plain,
( ( ~ $true ) = $true ),
inference(extcnf_forall_special_pos,[status(thm)],[7]) ).
thf(10,plain,
( ( ~ $false ) = $true ),
inference(extcnf_forall_special_pos,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ~ ( ~ ! [SX0: $o] : SX0
| ~ ! [SX0: $o] : ~ SX0 ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[7]) ).
thf(12,plain,
( ( ~ ~ ~ ( ~ ! [SX0: $o] : SX0
| ~ ! [SX0: $o] : ~ SX0 ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[7]) ).
thf(13,plain,
! [SV1: $o > $o] :
( ( SV1
@ ~ ( ~ ! [SX1: $o] : SX1
| ~ ! [SX1: $o] : ~ SX1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[8]) ).
thf(14,plain,
$true = $false,
inference(extcnf_not_pos,[status(thm)],[9]) ).
thf(15,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(16,plain,
( ( ~ ( ~ ! [SX0: $o] : SX0
| ~ ! [SX0: $o] : ~ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(17,plain,
( ( ~ ~ ( ~ ! [SX0: $o] : SX0
| ~ ! [SX0: $o] : ~ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(18,plain,
( ( ~ ! [SX0: $o] : SX0
| ~ ! [SX0: $o] : ~ SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[16]) ).
thf(19,plain,
( ( ~ ( ~ ! [SX0: $o] : SX0
| ~ ! [SX0: $o] : ~ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ( ~ ! [SX0: $o] : SX0 )
= $true )
| ( ( ~ ! [SX0: $o] : ~ SX0 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[18]) ).
thf(21,plain,
( ( ~ ! [SX0: $o] : SX0
| ~ ! [SX0: $o] : ~ SX0 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(22,plain,
( ( ( ! [SX0: $o] : SX0 )
= $false )
| ( ( ~ ! [SX0: $o] : ~ SX0 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(23,plain,
( ( ~ ! [SX0: $o] : SX0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(24,plain,
( ( ~ ! [SX0: $o] : ~ SX0 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(25,plain,
( ( sK1_SX0 = $false )
| ( ( ~ ! [SX0: $o] : ~ SX0 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[22]) ).
thf(26,plain,
( ( ! [SX0: $o] : SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(27,plain,
( ( ! [SX0: $o] : ~ SX0 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(28,plain,
( ( ( ! [SX0: $o] : ~ SX0 )
= $false )
| ( sK1_SX0 = $false ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(29,plain,
! [SV3: $o] : ( SV3 = $true ),
inference(extcnf_forall_special_pos,[status(thm)],[26]) ).
thf(30,plain,
$true = $true,
inference(extcnf_forall_special_pos,[status(thm)],[26]) ).
thf(31,plain,
$false = $true,
inference(extcnf_forall_special_pos,[status(thm)],[26]) ).
thf(32,plain,
! [SV4: $o] :
( ( ~ SV4 ) = $true ),
inference(extcnf_forall_special_pos,[status(thm)],[27]) ).
thf(33,plain,
( ( ~ $true ) = $true ),
inference(extcnf_forall_special_pos,[status(thm)],[27]) ).
thf(34,plain,
( ( ~ $false ) = $true ),
inference(extcnf_forall_special_pos,[status(thm)],[27]) ).
thf(35,plain,
( ( ( ~ sK2_SX0 ) = $false )
| ( sK1_SX0 = $false ) ),
inference(extcnf_forall_neg,[status(esa)],[28]) ).
thf(36,plain,
! [SV4: $o] : ( SV4 = $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(37,plain,
$true = $false,
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(38,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(39,plain,
( ( sK2_SX0 = $true )
| ( sK1_SX0 = $false ) ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(40,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[13,39,38,37,36,31,30,29,15,14]) ).
thf(41,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO196^5 : 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
% 0.09/0.16 % Computer : n020.cluster.edu
% 0.09/0.16 % Model : x86_64 x86_64
% 0.09/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16 % Memory : 8046.5625MB
% 0.09/0.16 % OS : Linux 6.8.0-71-generic
% 0.09/0.16 % CPULimit : 300
% 0.09/0.16 % WCLimit : 300
% 0.09/0.16 % DateTime : Tue Oct 6 17:34:06 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.19
% 0.09/0.19 No.of.Axioms: 0
% 0.09/0.19
% 0.09/0.19 Length.of.Defs: 0
% 0.09/0.19
% 0.09/0.19 Contains.Choice.Funs: false
% 0.09/0.19
% 0.09/0.19 ********************************
% 0.09/0.19 * All subproblems solved! *
% 0.09/0.19 ********************************
% 0.09/0.19 % 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:40,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.09/0.19
% 0.09/0.19 %**** Beginning of derivation protocol ****
% 0.09/0.19 % SZS output start CNFRefutation
% See solution above
% 0.09/0.19
% 0.09/0.19 %**** End of derivation protocol ****
% 0.09/0.19 %**** no. of clauses in derivation: 41 ****
% 0.09/0.19 %**** clause counter: 40 ****
% 0.09/0.19
% 0.09/0.19 % 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:40,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------