TSTP Solution File: SYO554^1 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO554^1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 17:35:31 EDT 2022
% Result : Unsatisfiable 0.12s 0.37s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 18 unt; 4 typ; 0 def)
% Number of atoms : 78 ( 28 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 41 ( 11 ~; 10 |; 0 &; 20 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_p,type,
p: $i > $o ).
thf(tp_s,type,
s: $i ).
thf(tp_t,type,
t: $i ).
thf(tp_u,type,
u: $i ).
thf(1,axiom,
t = u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tu) ).
thf(2,axiom,
s = t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',st) ).
thf(3,axiom,
( ~ ( p @ u )
| ~ ( p @ t ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',puv) ).
thf(4,axiom,
( ( p @ s )
| ( p @ t ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pst) ).
thf(5,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(6,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[5]) ).
thf(7,plain,
$false = $false,
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( t = u )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(9,plain,
( ( s = t )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(10,plain,
( ( ~ ( p @ u )
| ~ ( p @ t ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(11,plain,
( ( ( p @ s )
| ( p @ t ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(12,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(13,plain,
( ( ( p @ s )
| ( p @ t ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(14,plain,
( ( ~ ( p @ u )
| ~ ( p @ t ) )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(15,plain,
( ( s = t )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(16,plain,
( ( t = u )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(17,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(18,plain,
( ( ( p @ s )
= $true )
| ( ( p @ t )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[13]) ).
thf(19,plain,
( ( ( ~ ( p @ u ) )
= $true )
| ( ( ~ ( p @ t ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[14]) ).
thf(20,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[17]) ).
thf(21,plain,
( ( ( p @ u )
= $false )
| ( ( ~ ( p @ t ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(22,plain,
( ( ( p @ t )
= $false )
| ( ( p @ u )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[21]) ).
thf(23,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[15,22,20,18,16]) ).
thf(24,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO554^1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jul 9 13:51:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34
% 0.12/0.34 No.of.Axioms: 4
% 0.12/0.34
% 0.12/0.34 Length.of.Defs: 0
% 0.12/0.34
% 0.12/0.34 Contains.Choice.Funs: false
% 0.12/0.34 (rf:0,axioms:4,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:6,loop_count:0,foatp_calls:0,translation:fof_full)
% 0.12/0.37 ********************************
% 0.12/0.37 * All subproblems solved! *
% 0.12/0.37 ********************************
% 0.12/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:23,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.12/0.37
% 0.12/0.37 %**** Beginning of derivation protocol ****
% 0.12/0.37 % SZS output start CNFRefutation
% See solution above
% 0.12/0.37
% 0.12/0.37 %**** End of derivation protocol ****
% 0.12/0.37 %**** no. of clauses in derivation: 24 ****
% 0.12/0.37 %**** clause counter: 23 ****
% 0.12/0.37
% 0.12/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:4,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:25,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:23,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------