%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEV013^5 : 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 : n026.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 10:49:22 AM UTC 2026
% Result : Theorem 0.12s 0.25s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 1
% Syntax : Number of formulae : 39 ( 38 unt; 0 typ; 0 def)
% Number of atoms : 149 ( 105 equ; 0 cnn)
% Maximal formula atoms : 6 ( 3 avg)
% Number of connectives : 83 ( 47 ~; 9 |; 17 &; 0 @)
% ( 0 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 1 avg)
% Number of types : 1 ( 1 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 9 ( 6 usr; 8 con; 0-2 aty)
% Number of variables : 30 ( 0 ^; 30 !; 0 ?; 30 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_sK1_Xx,type,
sK1_Xx: a ).
thf(tp_sK2_Xx,type,
sK2_Xx: a ).
thf(tp_sK3_SY6,type,
sK3_SY6: a ).
thf(tp_sK4_Xx,type,
sK4_Xx: a ).
thf(tp_sK5_SY7,type,
sK5_SY7: a ).
thf(tp_sK6_SY9,type,
sK6_SY9: a ).
thf(1,conjecture,
( ! [Xx: a] : ( Xx = Xx )
& ! [Xx: a,Xy: a] :
( ( Xx = Xy )
=> ( Xy = Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xx = Xy )
& ( Xy = Xz ) )
=> ( Xx = Xz ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM511_pme) ).
thf(2,negated_conjecture,
( ( ! [Xx: a] : ( Xx = Xx )
& ! [Xx: a,Xy: a] :
( ( Xx = Xy )
=> ( Xy = Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xx = Xy )
& ( Xy = Xz ) )
=> ( Xx = Xz ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xx: a] : ( Xx = Xx )
& ! [Xx: a,Xy: a] :
( ( Xx = Xy )
=> ( Xy = Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xx = Xy )
& ( Xy = Xz ) )
=> ( Xx = Xz ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Xx: a] : ( Xx = Xx ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(5,plain,
( ( ! [Xx: a,Xy: a] :
( ( Xx = Xy )
=> ( Xy = Xx ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(6,plain,
( ( ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xx = Xy )
& ( Xy = Xz ) )
=> ( Xx = Xz ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[3]) ).
thf(7,plain,
( ( ~ ! [Xx: a] : ( Xx = Xx ) )
= $true ),
inference(polarity_switch,[status(thm)],[4]) ).
thf(8,plain,
( ( ~ ! [Xx: a,Xy: a] :
( ( Xx = Xy )
=> ( Xy = Xx ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(9,plain,
( ( ~ ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xx = Xy )
& ( Xy = Xz ) )
=> ( Xx = Xz ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(10,plain,
( ( ~ $true ) = $true ),
inference(extcnf_combined,[status(esa)],[7]) ).
thf(11,plain,
( ( ( sK2_Xx = sK3_SY6 )
& ( sK3_SY6 != sK2_Xx ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(12,plain,
( ( ( sK4_Xx = sK5_SY7 )
& ( sK5_SY7 = sK6_SY9 )
& ( sK4_Xx != sK6_SY9 ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(13,plain,
( ( ~ $true ) = $true ),
inference(copy,[status(thm)],[10]) ).
thf(14,plain,
$true = $false,
inference(extcnf_not_pos,[status(thm)],[13]) ).
thf(15,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[14]) ).
thf(16,plain,
( ( ( sK2_Xx = sK3_SY6 )
& ( sK3_SY6 != sK2_Xx ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(17,plain,
( ( ~ ( ( sK2_Xx != sK3_SY6 )
| ~ ( ( sK3_SY6 != sK2_Xx ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(18,plain,
( ( ( sK2_Xx != sK3_SY6 )
| ~ ( ( sK3_SY6 != sK2_Xx ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(19,plain,
( ( sK2_Xx != sK3_SY6 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(20,plain,
( ( ~ ( ( sK3_SY6 != sK2_Xx ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[18]) ).
thf(21,plain,
( ( sK2_Xx = sK3_SY6 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[19]) ).
thf(22,plain,
( ( sK3_SY6 != sK2_Xx )
= $true ),
inference(extcnf_not_neg,[status(thm)],[20]) ).
thf(23,plain,
( ( sK3_SY6 = sK2_Xx )
= $false ),
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(24,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[21,23]) ).
thf(25,plain,
( ( ( sK4_Xx = sK5_SY7 )
& ( sK5_SY7 = sK6_SY9 )
& ( sK4_Xx != sK6_SY9 ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(26,plain,
( ( ~ ( ~ ~ ( ( sK4_Xx != sK5_SY7 )
| ( sK5_SY7 != sK6_SY9 ) )
| ~ ( ( sK4_Xx != sK6_SY9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(27,plain,
( ( ~ ~ ( ( sK4_Xx != sK5_SY7 )
| ( sK5_SY7 != sK6_SY9 ) )
| ~ ( ( sK4_Xx != sK6_SY9 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[26]) ).
thf(28,plain,
( ( ~ ~ ( ( sK4_Xx != sK5_SY7 )
| ( sK5_SY7 != sK6_SY9 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(29,plain,
( ( ~ ( ( sK4_Xx != sK6_SY9 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[27]) ).
thf(30,plain,
( ( ~ ( ( sK4_Xx != sK5_SY7 )
| ( sK5_SY7 != sK6_SY9 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[28]) ).
thf(31,plain,
( ( sK4_Xx != sK6_SY9 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[29]) ).
thf(32,plain,
( ( ( sK4_Xx != sK5_SY7 )
| ( sK5_SY7 != sK6_SY9 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(33,plain,
( ( sK4_Xx = sK6_SY9 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(34,plain,
( ( sK4_Xx != sK5_SY7 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(35,plain,
( ( sK5_SY7 != sK6_SY9 )
= $false ),
inference(extcnf_or_neg,[status(thm)],[32]) ).
thf(36,plain,
( ( sK4_Xx = sK5_SY7 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[34]) ).
thf(37,plain,
( ( sK5_SY7 = sK6_SY9 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[35]) ).
thf(38,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[33,37,36]) ).
thf(39,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[38,15,24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEV013^5 : 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
% 0.12/0.19 % Computer : n026.cluster.edu
% 0.12/0.19 % Model : x86_64 x86_64
% 0.12/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.19 % Memory : 8046.5625MB
% 0.12/0.19 % OS : Linux 6.8.0-71-generic
% 0.12/0.19 % CPULimit : 300
% 0.12/0.19 % WCLimit : 300
% 0.12/0.19 % DateTime : Tue Oct 6 15:42:17 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
% 0.12/0.25
% 0.12/0.25 No.of.Axioms: 0
% 0.12/0.25
% 0.12/0.25 Length.of.Defs: 0
% 0.12/0.25
% 0.12/0.25 Contains.Choice.Funs: false
% 0.12/0.25
% 0.12/0.25 ********************************
% 0.12/0.25 * All subproblems solved! *
% 0.12/0.25 ********************************
% 0.12/0.25 % 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:38,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 0.12/0.25
% 0.12/0.25 %**** Beginning of derivation protocol ****
% 0.12/0.25 % SZS output start CNFRefutation
% See solution above
% 0.12/0.25
% 0.12/0.25 %**** End of derivation protocol ****
% 0.12/0.25 %**** no. of clauses in derivation: 39 ****
% 0.12/0.25 %**** clause counter: 38 ****
% 0.12/0.25
% 0.12/0.25 % 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:38,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------