%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SYN041+1 : TPTP v9.3.1. Released v2.0.0.
% 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 : n020.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 11:02:44 AM UTC 2026
% Result : Theorem 0.13s 0.22s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 1
% Syntax : Number of formulae : 18 ( 17 unt; 0 typ; 0 def)
% Number of atoms : 63 ( 16 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 24 ( 11 ~; 2 |; 0 &; 0 @)
% ( 0 <=>; 11 =>; 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; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 ^; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_p,type,
p: $o ).
thf(tp_q,type,
q: $o ).
thf(1,conjecture,
( ~ ( p
=> q )
=> ( q
=> p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel3) ).
thf(2,negated_conjecture,
( ( ~ ( p
=> q )
=> ( q
=> p ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ~ ( p
=> q )
=> ( q
=> p ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ~ ( p
=> q ) )
= $true ),
inference(standard_cnf,[status(thm)],[3]) ).
thf(5,plain,
q = $true,
inference(standard_cnf,[status(thm)],[3]) ).
thf(6,plain,
p = $false,
inference(standard_cnf,[status(thm)],[3]) ).
thf(7,plain,
( ( ~ p ) = $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(8,plain,
q = $true,
inference(copy,[status(thm)],[5]) ).
thf(9,plain,
( ( ~ ( p
=> q ) )
= $true ),
inference(copy,[status(thm)],[4]) ).
thf(10,plain,
( ( ~ p ) = $true ),
inference(copy,[status(thm)],[7]) ).
thf(11,plain,
( ( ~ ( ~ p
| q ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(12,plain,
p = $false,
inference(extcnf_not_pos,[status(thm)],[10]) ).
thf(13,plain,
( ( ~ p
| q )
= $false ),
inference(extcnf_not_pos,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ p ) = $false ),
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(15,plain,
q = $false,
inference(extcnf_or_neg,[status(thm)],[13]) ).
thf(16,plain,
p = $true,
inference(extcnf_not_neg,[status(thm)],[14]) ).
thf(17,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[8,16,15,12]) ).
thf(18,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN041+1 : TPTP v9.3.1. Released v2.0.0.
% 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
% 0.13/0.19 % Computer : n020.cluster.edu
% 0.13/0.19 % Model : x86_64 x86_64
% 0.13/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.19 % Memory : 8046.5625MB
% 0.13/0.19 % OS : Linux 6.8.0-71-generic
% 0.13/0.19 % CPULimit : 300
% 0.13/0.19 % WCLimit : 300
% 0.13/0.19 % DateTime : Tue Oct 6 17:16:21 UTC 2026
% 0.13/0.19 % CPUTime :
% 0.13/0.19 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.22
% 0.13/0.22 No.of.Axioms: 0
% 0.13/0.22
% 0.13/0.22 Length.of.Defs: 0
% 0.13/0.22
% 0.13/0.22 Contains.Choice.Funs: false
% 0.13/0.22
% 0.13/0.22 ********************************
% 0.13/0.22 * All subproblems solved! *
% 0.13/0.22 ********************************
% 0.13/0.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:2,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:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:17,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.22
% 0.13/0.22 %**** Beginning of derivation protocol ****
% 0.13/0.22 % SZS output start CNFRefutation
% See solution above
% 0.13/0.22
% 0.13/0.22 %**** End of derivation protocol ****
% 0.13/0.22 %**** no. of clauses in derivation: 18 ****
% 0.13/0.22 %**** clause counter: 17 ****
% 0.13/0.22
% 0.13/0.22 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:2,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:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:17,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------