%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYO346^5 : 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 : n004.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 11:08:05 AM UTC 2026
% Result : Theorem 0.10s 0.20s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 1
% Syntax : Number of formulae : 34 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 216 ( 60 equ; 0 cnn)
% Maximal formula atoms : 5 ( 6 avg)
% Number of connectives : 106 ( 44 ~; 42 |; 0 &; 20 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_cA,type,
cA: $o ).
thf(tp_cB,type,
cB: $o ).
thf(tp_cP,type,
cP: $o > $o ).
thf(1,conjecture,
( ( cA != cB )
| ~ ( cP @ cA )
| ( cP @ cB ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM621) ).
thf(2,negated_conjecture,
( ( ( cA != cB )
| ~ ( cP @ cA )
| ( cP @ cB ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ( cA != cB )
| ~ ( cP @ cA )
| ( cP @ cB ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ~ ( ( cA != cB )
| ~ ( cP @ cA )
| ( cP @ cB ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ~ ( ( cA != cB )
| ~ ( cP @ cA )
| ( cP @ cB ) ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(6,plain,
( ( ~ ( ( cA != cB )
| ~ ( cP @ cA )
| ( cP @ cB ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(7,plain,
( ( ( cA != cB )
| ~ ( cP @ cA )
| ( cP @ cB ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[6]) ).
thf(8,plain,
( ( ( cA != cB )
| ~ ( cP @ cA ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7]) ).
thf(9,plain,
( ( cP @ cB )
= $false ),
inference(extcnf_or_neg,[status(thm)],[7]) ).
thf(10,plain,
( ( cA != cB )
= $false ),
inference(extcnf_or_neg,[status(thm)],[8]) ).
thf(11,plain,
( ( ~ ( cP @ cA ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[8]) ).
thf(12,plain,
( ( cA = cB )
= $true ),
inference(extcnf_not_neg,[status(thm)],[10]) ).
thf(13,plain,
( ( cP @ cA )
= $true ),
inference(extcnf_not_neg,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ( cA
| cB )
| ~ ( ~ cA
| ~ cB ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[12]) ).
thf(15,plain,
( ( cA = cB )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[12]) ).
thf(16,plain,
( ( ( ~ ( cA
| cB ) )
= $true )
| ( ( ~ ( ~ cA
| ~ cB ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[14]) ).
thf(17,plain,
( ( ( cA
| cB )
= $false )
| ( ( ~ ( ~ cA
| ~ cB ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[16]) ).
thf(18,plain,
( ( cA = $false )
| ( ( ~ ( ~ cA
| ~ cB ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(19,plain,
( ( cB = $false )
| ( ( ~ ( ~ cA
| ~ cB ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[17]) ).
thf(20,plain,
( ( ( ~ cA
| ~ cB )
= $false )
| ( cA = $false ) ),
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(21,plain,
( ( ( ~ cA
| ~ cB )
= $false )
| ( cB = $false ) ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(23,plain,
( ( ( ~ cB ) = $false )
| ( cA = $false ) ),
inference(extcnf_or_neg,[status(thm)],[20]) ).
thf(24,plain,
( ( ( ~ cA ) = $false )
| ( cB = $false ) ),
inference(extcnf_or_neg,[status(thm)],[21]) ).
thf(27,plain,
( ( cB = $true )
| ( cA = $false ) ),
inference(extcnf_not_neg,[status(thm)],[23]) ).
thf(28,plain,
( ( cA = $true )
| ( cB = $false ) ),
inference(extcnf_not_neg,[status(thm)],[24]) ).
thf(30,plain,
( ( cA = $true )
| ( cB = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[15]) ).
thf(31,plain,
( ( cA = $false )
| ( cB = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[15]) ).
thf(32,plain,
( ( ( cP @ cA )
= ( cP @ cB ) )
= $false ),
inference(res,[status(thm)],[13,9]) ).
thf(33,plain,
( ( cA = $true )
| ( cB = $true ) ),
inference(extuni,[status(esa)],[32]) ).
thf(34,plain,
( ( cA = $false )
| ( cB = $false ) ),
inference(extuni,[status(esa)],[32]) ).
thf(36,plain,
( ( cA = $true )
| ( cB = $false ) ),
inference(extcnf_equal_pos,[status(thm)],[15]) ).
thf(37,plain,
( ( cA = $false )
| ( cB = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[15]) ).
thf(43,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[9,37,36,34,33,31,30,28,27,15,13]) ).
thf(44,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYO346^5 : 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
% 0.10/0.16 % Computer : n004.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Tue Oct 6 17:35:24 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.20
% 0.10/0.20 No.of.Axioms: 0
% 0.10/0.20
% 0.10/0.20 Length.of.Defs: 0
% 0.10/0.20
% 0.10/0.20 Contains.Choice.Funs: false
% 0.10/0.20
% 0.10/0.20 ********************************
% 0.10/0.20 * All subproblems solved! *
% 0.10/0.20 ********************************
% 0.10/0.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:0,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:43,loop_count:5,foatp_calls:3,translation:fof_full)
% 0.10/0.20
% 0.10/0.20 %**** Beginning of derivation protocol ****
% 0.10/0.20 % SZS output start CNFRefutation
% See solution above
% 0.10/0.20
% 0.10/0.20 %**** End of derivation protocol ****
% 0.10/0.20 %**** no. of clauses in derivation: 34 ****
% 0.10/0.20 %**** clause counter: 43 ****
% 0.10/0.20
% 0.10/0.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:0,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:43,loop_count:5,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------