%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYN991^1 : TPTP v9.3.1. Released v3.7.0.
% 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 : n012.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 11:07:19 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.12s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 10 unt; 0 typ; 1 def)
% Number of atoms : 21 ( 10 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 12 ( 1 ~; 0 |; 0 &; 11 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 13 ( 1 ^; 12 !; 0 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_refl,type,
refl: ( $i > $i > $o ) > $o ).
thf(refl,definition,
( refl
= ( ^ [R: $i > $i > $o] :
! [X: $i] : ( R @ X @ X ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',refl) ).
thf(1,axiom,
! [R: $i > $i > $o] : ( refl @ R ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).
thf(5,plain,
( ( ! [SY0: $i > $i > $o,SY1: $i] : ( SY0 @ SY1 @ SY1 ) )
= $true ),
inference(unfold_def,[status(thm)],[1,refl]) ).
thf(7,plain,
( ( ! [SY0: $i > $i > $o,SY1: $i] : ( SY0 @ SY1 @ SY1 ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(9,plain,
! [SV1: $i > $i > $o] :
( ( ! [SY4: $i] : ( SV1 @ SY4 @ SY4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[7]) ).
thf(11,plain,
! [SV2: $i,SV1: $i > $i > $o] :
( ( SV1 @ SV2 @ SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9]) ).
thf(15,plain,
! [SV2: $i] :
( ( SV2 != SV2 )
= $true ),
inference(prim_subst,[status(thm)],[11:[bind(SV1,$thf( ^ [SY5: $i] : ^ [SY6: $i] : ( SY5 != SY6 ) ))]]) ).
thf(18,plain,
! [SV2: $i] :
( ( SV2 = SV2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(19,plain,
$false = $true,
inference(flexflex,[status(thm)],[18]) ).
thf(20,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN991^1 : TPTP v9.3.1. Released v3.7.0.
% 0.00/0.02 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.00/0.10 % Computer : n012.cluster.edu
% 0.00/0.10 % Model : x86_64 x86_64
% 0.00/0.10 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10 % Memory : 8046.5625MB
% 0.00/0.10 % OS : Linux 6.8.0-71-generic
% 0.00/0.10 % CPULimit : 300
% 0.00/0.10 % WCLimit : 300
% 0.00/0.10 % DateTime : Tue Oct 6 17:30:01 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.12
% 0.08/0.12 No.of.Axioms: 1
% 0.08/0.12
% 0.08/0.12 Length.of.Defs: 137
% 0.08/0.12
% 0.08/0.12 Contains.Choice.Funs: false
% 0.08/0.12
% 0.08/0.12 ********************************
% 0.08/0.12 * All subproblems solved! *
% 0.08/0.12 ********************************
% 0.08/0.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:19,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 0.08/0.12
% 0.08/0.12 %**** Beginning of derivation protocol ****
% 0.08/0.12 % SZS output start CNFRefutation
% See solution above
% 0.08/0.12
% 0.08/0.12 %**** End of derivation protocol ****
% 0.08/0.12 %**** no. of clauses in derivation: 9 ****
% 0.08/0.12 %**** clause counter: 19 ****
% 0.08/0.12
% 0.08/0.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:19,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------