TSTP Solution File: SYO290^5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO290^5 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n029.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 17:33:12 EDT 2022
% Result : Theorem 0.13s 0.37s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 14 unt; 4 typ; 0 def)
% Number of atoms : 49 ( 13 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 89 ( 18 ~; 6 |; 2 &; 63 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 1 avg)
% Number of types : 2 ( 1 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 21 ( 21 ^ 0 !; 0 ?; 21 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_g1,type,
g1: a > a ).
thf(tp_g2,type,
g2: a > a ).
thf(tp_p,type,
p: ( a > a ) > $o ).
thf(1,conjecture,
( ~ ( p
@ ^ [Xw: a] : ( g1 @ ( g2 @ Xw ) ) )
| ( p
@ ^ [Xx: a] : ( g1 @ ( g2 @ Xx ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTRANS_BUG_EX2) ).
thf(2,negated_conjecture,
( ( ~ ( p
@ ^ [Xw: a] : ( g1 @ ( g2 @ Xw ) ) )
| ( p
@ ^ [Xx: a] : ( g1 @ ( g2 @ Xx ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ~ ( p
@ ^ [Xw: a] : ( g1 @ ( g2 @ Xw ) ) )
| ( p
@ ^ [Xx: a] : ( g1 @ ( g2 @ Xx ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ~ ( ~ ( p
@ ^ [Xw: a] : ( g1 @ ( g2 @ Xw ) ) )
| ( p
@ ^ [Xx: a] : ( g1 @ ( g2 @ Xx ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[3]) ).
thf(5,plain,
( ( ( p
@ ^ [Xw: a] : ( g1 @ ( g2 @ Xw ) ) )
& ~ ( p
@ ^ [Xx: a] : ( g1 @ ( g2 @ Xx ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[4]) ).
thf(6,plain,
( ( ( p
@ ^ [Xw: a] : ( g1 @ ( g2 @ Xw ) ) )
& ~ ( p
@ ^ [Xx: a] : ( g1 @ ( g2 @ Xx ) ) ) )
= $true ),
inference(copy,[status(thm)],[5]) ).
thf(7,plain,
( ( ~ ( ~ ( p
@ ^ [SX0: a] : ( g1 @ ( g2 @ SX0 ) ) )
| ~ ~ ( p
@ ^ [SX0: a] : ( g1 @ ( g2 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(8,plain,
( ( ~ ( p
@ ^ [SX0: a] : ( g1 @ ( g2 @ SX0 ) ) )
| ~ ~ ( p
@ ^ [SX0: a] : ( g1 @ ( g2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[7]) ).
thf(9,plain,
( ( ~ ( p
@ ^ [SX0: a] : ( g1 @ ( g2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[8]) ).
thf(10,plain,
( ( ~ ~ ( p
@ ^ [SX0: a] : ( g1 @ ( g2 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[8]) ).
thf(11,plain,
( ( p
@ ^ [SX0: a] : ( g1 @ ( g2 @ SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[9]) ).
thf(12,plain,
( ( ~ ( p
@ ^ [SX0: a] : ( g1 @ ( g2 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[10]) ).
thf(13,plain,
( ( p
@ ^ [SX0: a] : ( g1 @ ( g2 @ SX0 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[12]) ).
thf(14,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[11,13]) ).
thf(15,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYO290^5 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jul 9 00:26:45 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 0
% 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:0,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:2,loop_count:0,foatp_calls:0,translation:fof_full)
% 0.13/0.37 ********************************
% 0.13/0.37 * All subproblems solved! *
% 0.13/0.37 ********************************
% 0.13/0.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,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:14,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.37
% 0.13/0.37 %**** Beginning of derivation protocol ****
% 0.13/0.37 % SZS output start CNFRefutation
% See solution above
% 0.13/0.37
% 0.13/0.37 %**** End of derivation protocol ****
% 0.13/0.37 %**** no. of clauses in derivation: 15 ****
% 0.13/0.37 %**** clause counter: 14 ****
% 0.13/0.37
% 0.13/0.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:0,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:14,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------