TSTP Solution File: SYN028-1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYN028-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n017.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 08:22:41 EDT 2022
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of formulae : 44 ( 23 unt; 5 typ; 0 def)
% Number of atoms : 161 ( 44 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 61 ( 27 ~; 34 |; 0 &; 0 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 8 ( 5 usr; 7 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(tp_r,type,
r: $o ).
thf(tp_s,type,
s: $o ).
thf(tp_t,type,
t: $o ).
thf(1,axiom,
( ~ t
| p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
thf(2,axiom,
( ~ s
| ~ r
| t ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
thf(3,axiom,
( ~ r
| s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
thf(4,axiom,
( ~ q
| r ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
thf(5,axiom,
( q
| p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
thf(6,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(7,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[6]) ).
thf(8,negated_conjecture,
~ p,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_something) ).
thf(9,plain,
$false = $false,
inference(unfold_def,[status(thm)],[7]) ).
thf(10,plain,
( ( ~ t
| p )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(11,plain,
( ( ~ s
| ~ r
| t )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(12,plain,
( ( ~ r
| s )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(13,plain,
( ( ~ q
| r )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(14,plain,
( ( q
| p )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(15,plain,
( ( ~ p )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(16,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(17,plain,
( ( p
| q )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(18,plain,
( ( ~ p )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(19,plain,
( ( p
| q )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(20,plain,
( ( ~ q
| r )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(21,plain,
( ( ~ r
| s )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(22,plain,
( ( ~ s
| ~ r
| t )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(23,plain,
( ( ~ t
| p )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(24,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(25,plain,
p = $false,
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(26,plain,
( ( p = $true )
| ( q = $true ) ),
inference(extcnf_or_pos,[status(thm)],[19]) ).
thf(27,plain,
( ( ( ~ q )
= $true )
| ( r = $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(28,plain,
( ( ( ~ r )
= $true )
| ( s = $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(29,plain,
( ( ( ~ s )
= $true )
| ( ( ~ r
| t )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[22]) ).
thf(30,plain,
( ( ( ~ t )
= $true )
| ( p = $true ) ),
inference(extcnf_or_pos,[status(thm)],[23]) ).
thf(31,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(32,plain,
( ( q = $false )
| ( r = $true ) ),
inference(extcnf_not_pos,[status(thm)],[27]) ).
thf(33,plain,
( ( r = $false )
| ( s = $true ) ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(34,plain,
( ( s = $false )
| ( ( ~ r
| t )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(35,plain,
( ( t = $false )
| ( p = $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(36,plain,
( ( ( ~ r )
= $true )
| ( t = $true )
| ( s = $false ) ),
inference(extcnf_or_pos,[status(thm)],[34]) ).
thf(37,plain,
( ( r = $false )
| ( t = $true )
| ( s = $false ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(38,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[25,37,35,33,32,31,26]) ).
thf(39,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN028-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jul 12 03:58:49 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 6
% 0.13/0.35
% 0.13/0.35 Length.of.Defs: 0
% 0.13/0.35
% 0.13/0.35 Contains.Choice.Funs: false
% 0.13/0.35 (rf:0,axioms:6,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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:8,loop_count:0,foatp_calls:0,translation:fof_full)
% 0.13/0.38 ********************************
% 0.13/0.38 * All subproblems solved! *
% 0.13/0.38 ********************************
% 0.13/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:6,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:38,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.38
% 0.13/0.38 %**** Beginning of derivation protocol ****
% 0.13/0.38 % SZS output start CNFRefutation
% See solution above
% 0.13/0.38
% 0.13/0.38 %**** End of derivation protocol ****
% 0.13/0.38 %**** no. of clauses in derivation: 39 ****
% 0.13/0.38 %**** clause counter: 38 ****
% 0.13/0.38
% 0.13/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:6,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:38,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------