%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEU882^5 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 10:49:09 AM UTC 2026
% Result : Theorem 0.10s 0.25s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 16 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 44 ( 28 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 35 ( 21 ~; 0 |; 0 &; 14 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 14 ( 14 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 1 usr; 3 con; 0-2 aty)
% Number of variables : 31 ( 0 ^; 19 !; 12 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK1_Xy,type,
sK1_Xy: $i ).
thf(1,conjecture,
! [Xy: $i] :
? [Xf: $i > $i,Xx: $i] :
( ( Xf @ Xx )
= Xy ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM139_pme) ).
thf(2,negated_conjecture,
( ( ! [Xy: $i] :
? [Xf: $i > $i,Xx: $i] :
( ( Xf @ Xx )
= Xy ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xy: $i] :
? [Xf: $i > $i,Xx: $i] :
( ( Xf @ Xx )
= Xy ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ? [SY3: $i > $i,SY4: $i] :
( ( SY3 @ SY4 )
= sK1_Xy ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ~ ? [SY3: $i > $i,SY4: $i] :
( ( SY3 @ SY4 )
= sK1_Xy ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(6,plain,
( ( ~ ? [SY3: $i > $i,SY4: $i] :
( ( SY3 @ SY4 )
= sK1_Xy ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
( ( ~ ~ ! [SX0: $i > $i] :
~ ~ ! [SX1: $i] :
( ( SX0 @ SX1 )
!= sK1_Xy ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( ~ ! [SX0: $i > $i] :
~ ~ ! [SX1: $i] :
( ( SX0 @ SX1 )
!= sK1_Xy ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SX0: $i > $i] :
~ ~ ! [SX1: $i] :
( ( SX0 @ SX1 )
!= sK1_Xy ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[8]) ).
thf(10,plain,
! [SV1: $i > $i] :
( ( ~ ~ ! [SY5: $i] :
( ( SV1 @ SY5 )
!= sK1_Xy ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(11,plain,
! [SV1: $i > $i] :
( ( ~ ! [SY5: $i] :
( ( SV1 @ SY5 )
!= sK1_Xy ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(12,plain,
! [SV1: $i > $i] :
( ( ! [SY5: $i] :
( ( SV1 @ SY5 )
!= sK1_Xy ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[11]) ).
thf(13,plain,
! [SV2: $i,SV1: $i > $i] :
( ( ( SV1 @ SV2 )
!= sK1_Xy )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(14,plain,
! [SV2: $i,SV1: $i > $i] :
( ( ( SV1 @ SV2 )
= sK1_Xy )
= $false ),
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(15,plain,
$false = $true,
inference(extuni,[status(esa)],[14:[bind(SV2,$thf( sK1_Xy )),bind(SV1,$thf( ^ [SX0: $i] : SX0 ))]]) ).
thf(16,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU882^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.20 % Computer : n007.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Oct 6 15:35:30 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.25
% 0.10/0.25 No.of.Axioms: 0
% 0.10/0.25
% 0.10/0.25 Length.of.Defs: 0
% 0.10/0.25
% 0.10/0.25 Contains.Choice.Funs: false
% 0.10/0.25
% 0.10/0.25 ********************************
% 0.10/0.25 * All subproblems solved! *
% 0.10/0.25 ********************************
% 0.10/0.25 % SZS status Theorem for /export/starexec/sandbox/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:15,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.10/0.25
% 0.10/0.25 %**** Beginning of derivation protocol ****
% 0.10/0.25 % SZS output start CNFRefutation
% See solution above
% 0.10/0.25
% 0.10/0.25 %**** End of derivation protocol ****
% 0.10/0.25 %**** no. of clauses in derivation: 16 ****
% 0.10/0.25 %**** clause counter: 15 ****
% 0.10/0.25
% 0.10/0.25 % SZS status Theorem for /export/starexec/sandbox/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:15,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------