TSTP Solution File: SYO040^1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SYO040^1 : 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 : n019.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 17:31:35 EDT 2022
% Result : Unsatisfiable 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 38 ( 7 unt; 3 typ; 0 def)
% Number of atoms : 449 ( 104 equ; 0 cnn)
% Maximal formula atoms : 4 ( 12 avg)
% Number of connectives : 220 ( 4 ~; 58 |; 0 &; 158 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 6 ( 3 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 ^ 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_f,type,
f: $o > $o ).
thf(tp_h,type,
h: $o > $i ).
thf(tp_x,type,
x: $o ).
thf(1,axiom,
( h @ ( f @ ( f @ ( f @ x ) ) ) )
!= ( h @ ( f @ x ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',2) ).
thf(5,plain,
( ( ( ( h @ ( f @ ( f @ ( f @ x ) ) ) )
!= ( h @ ( f @ x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(7,plain,
( ( ( ( h @ ( f @ ( f @ ( f @ x ) ) ) )
!= ( h @ ( f @ x ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[5]) ).
thf(8,plain,
( ( ( ( h @ ( f @ ( f @ ( f @ x ) ) ) )
!= ( h @ ( f @ x ) ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(10,plain,
( ( ( h @ ( f @ ( f @ ( f @ x ) ) ) )
= ( h @ ( f @ x ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[8]) ).
thf(12,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[10]) ).
thf(13,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[10]) ).
thf(14,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[10]) ).
thf(15,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[10]) ).
thf(32,plain,
( ( ( ( f @ x )
= ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[14,13]) ).
thf(33,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true )
| ( x = $false ) ),
inference(res,[status(thm)],[14,13]) ).
thf(36,plain,
( ( ( f @ x )
= $true )
| ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false ) ),
inference(fac_restr,[status(thm)],[14]) ).
thf(39,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[33]) ).
thf(42,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[32]) ).
thf(43,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[36]) ).
thf(44,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[36]) ).
thf(45,plain,
( ( x = $false )
| ( ( f @ x )
= $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(sim,[status(thm)],[39]) ).
thf(46,plain,
( ( x = $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false ) ),
inference(sim,[status(thm)],[42]) ).
thf(48,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $true ) ),
inference(res,[status(thm)],[15,14]) ).
thf(49,plain,
( ( ( ( f @ x )
= ( f @ ( f @ ( f @ x ) ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(res,[status(thm)],[15,14]) ).
thf(53,plain,
( ( ( ( f @ x )
= ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[15,12]) ).
thf(54,plain,
( ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $false )
| ( x = $true ) ),
inference(res,[status(thm)],[15,12]) ).
thf(55,plain,
( ( ( f @ x )
= $false )
| ( ( ( f @ ( f @ ( f @ x ) ) )
= ( f @ x ) )
= $false ) ),
inference(fac_restr,[status(thm)],[15]) ).
thf(59,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[54]) ).
thf(60,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ x )
= $true ) ),
inference(extuni,[status(esa)],[53]) ).
thf(63,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $true )
| ( ( f @ ( f @ x ) )
= $true ) ),
inference(extuni,[status(esa)],[49]) ).
thf(64,plain,
( ( ( f @ x )
= $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( x = $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(extuni,[status(esa)],[49]) ).
thf(65,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $true )
| ( x = $true ) ),
inference(extuni,[status(esa)],[48]) ).
thf(66,plain,
( ( ( f @ ( f @ ( f @ x ) ) )
= $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false )
| ( x = $false ) ),
inference(extuni,[status(esa)],[48]) ).
thf(68,plain,
( ( ( f @ ( f @ x ) )
= $true )
| ( x = $true )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[55]) ).
thf(69,plain,
( ( ( f @ ( f @ x ) )
= $false )
| ( x = $false )
| ( ( f @ x )
= $false ) ),
inference(extuni,[status(esa)],[55]) ).
thf(70,plain,
( ( x = $true )
| ( ( f @ x )
= $false )
| ( ( f @ ( f @ x ) )
= $false ) ),
inference(sim,[status(thm)],[59]) ).
thf(71,plain,
( ( x = $true )
| ( ( f @ ( f @ ( f @ x ) ) )
= $false )
| ( ( f @ x )
= $true ) ),
inference(sim,[status(thm)],[60]) ).
thf(72,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[10,71,70,69,68,66,65,64,63,46,45,44,43,15,14,13,12]) ).
thf(73,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[72]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYO040^1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34 % Computer : n019.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 14:32:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35
% 0.12/0.35 No.of.Axioms: 1
% 0.12/0.35
% 0.12/0.35 Length.of.Defs: 0
% 0.12/0.35
% 0.12/0.35 Contains.Choice.Funs: false
% 0.12/0.35 (rf:0,axioms:1,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:3,loop_count:0,foatp_calls:0,translation:fof_full).
% 0.20/0.42
% 0.20/0.42 ********************************
% 0.20/0.42 * All subproblems solved! *
% 0.20/0.42 ********************************
% 0.20/0.42 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:72,loop_count:10,foatp_calls:3,translation:fof_full)
% 0.20/0.42
% 0.20/0.42 %**** Beginning of derivation protocol ****
% 0.20/0.42 % SZS output start CNFRefutation
% See solution above
% 0.20/0.43
% 0.20/0.43 %**** End of derivation protocol ****
% 0.20/0.43 %**** no. of clauses in derivation: 35 ****
% 0.20/0.43 %**** clause counter: 72 ****
% 0.20/0.43
% 0.20/0.43 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:1,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:72,loop_count:10,foatp_calls:3,translation:fof_full)
%------------------------------------------------------------------------------