%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO193^5 : 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 11:07:48 AM UTC 2026
% Result : Theorem 0.08s 0.26s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 1
% Syntax : Number of formulae : 12 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 23 ( 10 equ; 0 cnn)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 0 |; 0 &; 9 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 27 ( 27 >; 0 *; 0 +; 0 <<)
% Number of symbols : 4 ( 1 usr; 2 con; 0-2 aty)
% Number of variables : 18 ( 0 ^; 14 !; 4 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_sK1_Eigen,type,
sK1_Eigen: ( $o > $o ) > $o ).
thf(1,conjecture,
~ ! [Xq: ( $o > $o ) > $o] :
~ ? [Xp: $o > $o] : ( Xq @ Xp ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cCT20) ).
thf(2,negated_conjecture,
( ( ~ ! [Xq: ( $o > $o ) > $o] :
~ ? [Xp: $o > $o] : ( Xq @ Xp ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ~ ! [Xq: ( $o > $o ) > $o] :
~ ? [Xp: $o > $o] : ( Xq @ Xp ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [Xq: ( $o > $o ) > $o] :
~ ? [Xp: $o > $o] : ( Xq @ Xp ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ! [Xq: ( $o > $o ) > $o,Xp: $o > $o] :
~ ( Xq @ Xp ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [Xq: ( $o > $o ) > $o,Xp: $o > $o] :
~ ( Xq @ Xp ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
! [SV1: ( $o > $o ) > $o] :
( ( ! [SY2: $o > $o] :
~ ( SV1 @ SY2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[6]) ).
thf(8,plain,
! [SV2: $o > $o,SV1: ( $o > $o ) > $o] :
( ( ~ ( SV1 @ SV2 ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[7]) ).
thf(13,plain,
! [SV2: $o > $o,SV1: ( $o > $o ) > $o] :
( ( SV1 @ SV2 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[8]) ).
thf(80,plain,
$true = $false,
inference(prim_subst,[status(thm)],[13:[bind(SV1,$thf( ^ [SV24: $o > $o] : $true ))]]) ).
thf(531,plain,
$false = $true,
inference(sim,[status(thm)],[80]) ).
thf(532,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[531]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO193^5 : 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
% 0.08/0.18 % Computer : n007.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Oct 6 17:31:15 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.26
% 0.08/0.26 No.of.Axioms: 0
% 0.08/0.26
% 0.08/0.26 Length.of.Defs: 0
% 0.08/0.26
% 0.08/0.26 Contains.Choice.Funs: false
% 0.08/0.26
% 0.08/0.26 *** Modified list of choice operators: sK1_Eigen ***
% 0.08/0.26 .....
% 0.08/0.26
% 0.08/0.26 ********************************
% 0.08/0.26 * All subproblems solved! *
% 0.08/0.26 ********************************
% 0.08/0.26 % 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:531,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.08/0.26
% 0.08/0.26 %**** Beginning of derivation protocol ****
% 0.08/0.26 % SZS output start CNFRefutation
% See solution above
% 0.08/0.26
% 0.08/0.26 %**** End of derivation protocol ****
% 0.08/0.26 %**** no. of clauses in derivation: 12 ****
% 0.08/0.26 %**** clause counter: 531 ****
% 0.08/0.26
% 0.08/0.26 % 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:531,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------