%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO205^5 : 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 : n018.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 11:07:49 AM UTC 2026
% Result : Theorem 0.08s 0.18s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 14 unt; 0 typ; 0 def)
% Number of atoms : 85 ( 63 equ; 0 cnn)
% Maximal formula atoms : 2 ( 4 avg)
% Number of connectives : 27 ( 18 ~; 9 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 3 ( 0 usr; 2 con; 0-2 aty)
% Number of variables : 32 ( 0 ^; 24 !; 8 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
thf(1,conjecture,
? [Xx: $o,Xy: $o] :
( ( Xx = Xy )
= ( Xy = Xx ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCT27) ).
thf(2,negated_conjecture,
( ( ? [Xx: $o,Xy: $o] :
( ( Xx = Xy )
= ( Xy = Xx ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ? [Xx: $o,Xy: $o] :
( ( Xx = Xy )
= ( Xy = Xx ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ~ ? [Xx: $o,Xy: $o] :
( ( Xx = Xy )
= ( Xy = Xx ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xx: $o,Xy: $o] :
( ( Xx = Xy )
!= ( Xy = Xx ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [Xx: $o,Xy: $o] :
( ( Xx = Xy )
!= ( Xy = Xx ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
! [SV1: $o] :
( ( ! [SY2: $o] :
( ( SV1 = SY2 )
!= ( SY2 = SV1 ) ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[6]) ).
thf(10,plain,
! [SV2: $o,SV1: $o] :
( ( ( SV1 = SV2 )
!= ( SV2 = SV1 ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[7]) ).
thf(19,plain,
! [SV2: $o,SV1: $o] :
( ( ( SV1 = SV2 )
= ( SV2 = SV1 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(28,plain,
! [SV2: $o,SV1: $o] :
( ( ~ ( ( SV1 = SV2 )
| ( SV2 = SV1 ) )
| ~ ( ( SV1 != SV2 )
| ( SV2 != SV1 ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[19]) ).
thf(47,plain,
! [SV2: $o,SV1: $o] :
( ( ~ ( ( SV1 != SV2 )
| ( SV2 != SV1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[28]) ).
thf(65,plain,
! [SV2: $o,SV1: $o] :
( ( ( SV1 != SV2 )
| ( SV2 != SV1 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(83,plain,
! [SV2: $o,SV1: $o] :
( ( ( SV1 != SV2 )
= $true )
| ( ( SV2 != SV1 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[65]) ).
thf(102,plain,
! [SV2: $o,SV1: $o] :
( ( ( SV1 = SV2 )
= $false )
| ( ( SV2 != SV1 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(131,plain,
! [SV2: $o,SV1: $o] :
( ( ( SV1 = SV2 )
= $false )
| ( ( SV2 != SV1 )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[102]) ).
thf(176,plain,
! [SV1: $o,SV2: $o] :
( ( ( SV2 = SV1 )
= $false )
| ( ( SV1 = SV2 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(177,plain,
$false = $true,
inference(flexflex,[status(thm)],[176]) ).
thf(178,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO205^5 : 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/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.16 % Computer : n018.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Tue Oct 6 17:35:37 UTC 2026
% 0.08/0.16 % CPUTime :
% 0.08/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.18
% 0.08/0.18 No.of.Axioms: 0
% 0.08/0.18
% 0.08/0.18 Length.of.Defs: 0
% 0.08/0.18
% 0.08/0.18 Contains.Choice.Funs: false
% 0.08/0.18
% 0.08/0.18 ********************************
% 0.08/0.18 * All subproblems solved! *
% 0.08/0.18 ********************************
% 0.08/0.18 % SZS status Theorem for /export/starexec/sandbox/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:177,loop_count:0,foatp_calls:0,translation:fof_experiment)
% 0.08/0.18
% 0.08/0.18 %**** Beginning of derivation protocol ****
% 0.08/0.18 % SZS output start CNFRefutation
% See solution above
% 0.08/0.18
% 0.08/0.18 %**** End of derivation protocol ****
% 0.08/0.18 %**** no. of clauses in derivation: 18 ****
% 0.08/0.18 %**** clause counter: 177 ****
% 0.08/0.18
% 0.08/0.18 % SZS status Theorem for /export/starexec/sandbox/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:177,loop_count:0,foatp_calls:0,translation:fof_experiment)
%------------------------------------------------------------------------------