%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWV553-1.004 : 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 : n011.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 10:58:13 AM UTC 2026
% Result : Unsatisfiable 13.53s 2.56s
% Output : CNFRefutation 13.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 28 unt; 0 typ; 0 def)
% Number of atoms : 88 ( 55 equ; 0 cnn)
% Maximal formula atoms : 2 ( 2 avg)
% Number of connectives : 590 ( 6 ~; 8 |; 0 &; 576 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 8 con; 0-3 aty)
% Number of variables : 50 ( 0 ^; 50 !; 0 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a1,type,
a1: $i ).
thf(tp_a2,type,
a2: $i ).
thf(tp_i1,type,
i1: $i ).
thf(tp_i2,type,
i2: $i ).
thf(tp_i3,type,
i3: $i ).
thf(tp_i4,type,
i4: $i ).
thf(tp_select,type,
select: $i > $i > $i ).
thf(tp_sk,type,
sk: $i > $i > $i ).
thf(tp_store,type,
store: $i > $i > $i > $i ).
thf(1,axiom,
! [I: $i,J: $i,A: $i,E: $i] :
( ( I = J )
| ( ( select @ ( store @ A @ I @ E ) @ J )
= ( select @ A @ J ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a2) ).
thf(2,axiom,
! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a1) ).
thf(3,axiom,
( ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) )
= ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hyp0) ).
thf(4,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(5,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,negated_conjecture,
( ( select @ a1 @ ( sk @ a1 @ a2 ) )
!= ( select @ a2 @ ( sk @ a1 @ a2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goal) ).
thf(7,plain,
$false = $false,
inference(unfold_def,[status(thm)],[5]) ).
thf(8,plain,
( ( ! [I: $i,J: $i,A: $i,E: $i] :
( ( I = J )
| ( ( select @ ( store @ A @ I @ E ) @ J )
= ( select @ A @ J ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(9,plain,
( ( ! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(10,plain,
( ( ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) )
= ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(11,plain,
( ( ( select @ a1 @ ( sk @ a1 @ a2 ) )
!= ( select @ a2 @ ( sk @ a1 @ a2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(12,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(13,plain,
( ( ( select @ a1 @ ( sk @ a1 @ a2 ) )
!= ( select @ a2 @ ( sk @ a1 @ a2 ) ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(14,plain,
( ( ( store @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) )
= ( store @ ( store @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 @ ( select @ ( store @ ( store @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 @ ( select @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 ) ) @ i3 @ ( select @ ( store @ ( store @ a2 @ i1 @ ( select @ a1 @ i1 ) ) @ i2 @ ( select @ ( store @ a1 @ i1 @ ( select @ a2 @ i1 ) ) @ i2 ) ) @ i3 ) ) @ i4 ) ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(15,plain,
( ( ! [A: $i,I: $i,E: $i] :
( ( select @ ( store @ A @ I @ E ) @ I )
= E ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(16,plain,
( ( ! [I: $i,J: $i,A: $i,E: $i] :
( ( I = J )
| ( ( select @ ( store @ A @ I @ E ) @ J )
= ( select @ A @ J ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(17,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[12]) ).
thf(18,plain,
( ( ( select @ a1 @ ( sk @ a1 @ a2 ) )
!= ( select @ a2 @ ( sk @ a1 @ a2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(19,plain,
! [SV1: $i] :
( ( ! [SY7: $i,SY8: $i] :
( ( select @ ( store @ SV1 @ SY7 @ SY8 ) @ SY7 )
= SY8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[15]) ).
thf(20,plain,
! [SV2: $i] :
( ( ! [SY9: $i,SY10: $i,SY11: $i] :
( ( SV2 = SY9 )
| ( ( select @ ( store @ SY10 @ SV2 @ SY11 ) @ SY9 )
= ( select @ SY10 @ SY9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(21,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(22,plain,
( ( ( select @ a1 @ ( sk @ a1 @ a2 ) )
= ( select @ a2 @ ( sk @ a1 @ a2 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(23,plain,
! [SV3: $i,SV1: $i] :
( ( ! [SY12: $i] :
( ( select @ ( store @ SV1 @ SV3 @ SY12 ) @ SV3 )
= SY12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(24,plain,
! [SV4: $i,SV2: $i] :
( ( ! [SY13: $i,SY14: $i] :
( ( SV2 = SV4 )
| ( ( select @ ( store @ SY13 @ SV2 @ SY14 ) @ SV4 )
= ( select @ SY13 @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(25,plain,
! [SV5: $i,SV3: $i,SV1: $i] :
( ( ( select @ ( store @ SV1 @ SV3 @ SV5 ) @ SV3 )
= SV5 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(26,plain,
! [SV6: $i,SV4: $i,SV2: $i] :
( ( ! [SY15: $i] :
( ( SV2 = SV4 )
| ( ( select @ ( store @ SV6 @ SV2 @ SY15 ) @ SV4 )
= ( select @ SV6 @ SV4 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(27,plain,
! [SV7: $i,SV6: $i,SV4: $i,SV2: $i] :
( ( ( SV2 = SV4 )
| ( ( select @ ( store @ SV6 @ SV2 @ SV7 ) @ SV4 )
= ( select @ SV6 @ SV4 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(28,plain,
! [SV7: $i,SV6: $i,SV4: $i,SV2: $i] :
( ( ( SV2 = SV4 )
= $true )
| ( ( ( select @ ( store @ SV6 @ SV2 @ SV7 ) @ SV4 )
= ( select @ SV6 @ SV4 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[27]) ).
thf(29,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[14,28,25,22,21]) ).
thf(30,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV553-1.004 : 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
% 0.06/0.20 % Computer : n011.cluster.edu
% 0.06/0.20 % Model : x86_64 x86_64
% 0.06/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.20 % Memory : 8046.5625MB
% 0.06/0.20 % OS : Linux 6.8.0-71-generic
% 0.06/0.20 % CPULimit : 300
% 0.06/0.20 % WCLimit : 300
% 0.06/0.20 % DateTime : Tue Oct 6 16:37:51 UTC 2026
% 0.06/0.20 % CPUTime :
% 0.06/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.53/2.56
% 13.53/2.56 No.of.Axioms: 4
% 13.53/2.56
% 13.53/2.56 Length.of.Defs: 0
% 13.53/2.56
% 13.53/2.56 Contains.Choice.Funs: false
% 13.53/2.56
% 13.53/2.56 ********************************
% 13.53/2.56 * All subproblems solved! *
% 13.53/2.56 ********************************
% 13.53/2.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:4,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:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:29,loop_count:0,foatp_calls:1,translation:fof_full)
% 13.53/2.56
% 13.53/2.56 %**** Beginning of derivation protocol ****
% 13.53/2.56 % SZS output start CNFRefutation
% See solution above
% 13.53/2.56
% 13.53/2.56 %**** End of derivation protocol ****
% 13.53/2.56 %**** no. of clauses in derivation: 30 ****
% 13.53/2.56 %**** clause counter: 29 ****
% 13.53/2.56
% 13.53/2.56 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:4,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:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:29,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------