%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO366^5 : 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 : n008.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 11:08:08 AM UTC 2026
% Result : Theorem 0.07s 0.21s
% Output : CNFRefutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 1
% Syntax : Number of formulae : 20 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 98 ( 24 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 36 ( 6 ~; 7 |; 0 &; 15 @)
% ( 0 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 5 ( 2 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cA,type,
cA: $o ).
thf(tp_cP,type,
cP: $o > $o ).
thf(1,conjecture,
( ( cP
@ ( cA
=> cA ) )
=> ( cP @ $true ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTRIVEXT4) ).
thf(2,negated_conjecture,
( ( ( cP
@ ( cA
=> cA ) )
=> ( cP @ $true ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( cP
@ ( cA
=> cA ) )
=> ( cP @ $true ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( cP
@ ( cA
=> cA ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
( ( cP @ $true )
= $false ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
( ( ~ ( cP @ $true ) )
= $true ),
inference(polarity_switch,[status(thm)],[5]) ).
thf(7,plain,
( ( cP
@ ( cA
=> cA ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(8,plain,
( ( ~ ( cP @ $true ) )
= $true ),
inference(copy,[status(thm)],[6]) ).
thf(9,plain,
( ( cP
@ ( ~ cA
| cA ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(10,plain,
( ( cP @ $true )
= $false ),
inference(extcnf_not_pos,[status(thm)],[8]) ).
thf(11,plain,
( ( ( cP @ $true )
= ( cP
@ ( ~ cA
| cA ) ) )
= $false ),
inference(res,[status(thm)],[10,9]) ).
thf(13,plain,
( ( $true = $false )
| ( ( ~ cA
| cA )
= $false ) ),
inference(extuni,[status(esa)],[11]) ).
thf(14,plain,
( ( ( ~ cA ) = $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(15,plain,
( ( cA = $false )
| ( $true = $false ) ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(17,plain,
( ( cA = $true )
| ( $true = $false ) ),
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(19,plain,
cA = $true,
inference(sim,[status(thm)],[17]) ).
thf(20,plain,
cA = $false,
inference(sim,[status(thm)],[15]) ).
thf(22,plain,
( ( cA = cA )
= $false ),
inference(res,[status(thm)],[20,19]) ).
thf(24,plain,
$false = $true,
inference(extuni,[status(esa)],[22]) ).
thf(25,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYO366^5 : 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
% 0.07/0.18 % Computer : n008.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Tue Oct 6 17:36:24 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.21
% 0.07/0.21 No.of.Axioms: 0
% 0.07/0.21
% 0.07/0.21 Length.of.Defs: 0
% 0.07/0.21
% 0.07/0.21 Contains.Choice.Funs: false
% 0.07/0.21
% 0.07/0.21 ********************************
% 0.07/0.21 * All subproblems solved! *
% 0.07/0.21 ********************************
% 0.07/0.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:1,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:24,loop_count:4,foatp_calls:1,translation:fof_full)
% 0.07/0.21
% 0.07/0.21 %**** Beginning of derivation protocol ****
% 0.07/0.21 % SZS output start CNFRefutation
% See solution above
% 0.07/0.21
% 0.07/0.21 %**** End of derivation protocol ****
% 0.07/0.21 %**** no. of clauses in derivation: 20 ****
% 0.07/0.21 %**** clause counter: 24 ****
% 0.07/0.21
% 0.07/0.21 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:1,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:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:24,loop_count:4,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------