TSTP Solution File: COL084-1 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : COL084-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n032.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 : Fri Jul 15 00:34:47 EDT 2022
% Result : Unsatisfiable 0.14s 0.32s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 25 unt; 4 typ; 0 def)
% Number of atoms : 65 ( 37 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 86 ( 8 ~; 0 |; 0 &; 78 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 4 ( 4 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 4 con; 0-2 aty)
% Number of variables : 36 ( 0 ^ 36 !; 0 ?; 36 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_b,type,
b: $i ).
thf(tp_compose,type,
compose: $i > $i > $i ).
thf(tp_mocking_bird,type,
mocking_bird: $i ).
thf(tp_response,type,
response: $i > $i > $i ).
thf(1,axiom,
! [A: $i] :
( ( response @ mocking_bird @ A )
= ( response @ A @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mocking_bird_exists) ).
thf(2,axiom,
! [A: $i,B: $i,C: $i] :
( ( response @ ( compose @ A @ B ) @ C )
= ( response @ A @ ( response @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composer_exists) ).
thf(3,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(4,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[3]) ).
thf(5,negated_conjecture,
! [B: $i,A: $i] :
( ( response @ b @ B )
!= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_birds_are_compatible_2) ).
thf(6,plain,
$false = $false,
inference(unfold_def,[status(thm)],[4]) ).
thf(7,plain,
( ( ! [A: $i] :
( ( response @ mocking_bird @ A )
= ( response @ A @ A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(8,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( response @ ( compose @ A @ B ) @ C )
= ( response @ A @ ( response @ B @ C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(9,plain,
( ( ! [B: $i,A: $i] :
( ( response @ b @ B )
!= A ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(10,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[6]) ).
thf(11,plain,
( ( ! [B: $i,A: $i] :
( ( response @ b @ B )
!= A ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(12,plain,
( ( ! [B: $i,A: $i] :
( ( response @ b @ B )
!= A ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(13,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( response @ ( compose @ A @ B ) @ C )
= ( response @ A @ ( response @ B @ C ) ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(14,plain,
( ( ! [A: $i] :
( ( response @ mocking_bird @ A )
= ( response @ A @ A ) ) )
= $true ),
inference(copy,[status(thm)],[7]) ).
thf(15,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(16,plain,
! [SV1: $i] :
( ( ! [SY6: $i] :
( ( response @ b @ SV1 )
!= SY6 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[12]) ).
thf(17,plain,
! [SV2: $i] :
( ( ! [SY7: $i,SY8: $i] :
( ( response @ ( compose @ SV2 @ SY7 ) @ SY8 )
= ( response @ SV2 @ ( response @ SY7 @ SY8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[13]) ).
thf(18,plain,
! [SV3: $i] :
( ( ( response @ mocking_bird @ SV3 )
= ( response @ SV3 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(19,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[15]) ).
thf(20,plain,
! [SV4: $i,SV1: $i] :
( ( ( ( response @ b @ SV1 )
!= SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(21,plain,
! [SV5: $i,SV2: $i] :
( ( ! [SY9: $i] :
( ( response @ ( compose @ SV2 @ SV5 ) @ SY9 )
= ( response @ SV2 @ ( response @ SV5 @ SY9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(22,plain,
! [SV4: $i,SV1: $i] :
( ( ( response @ b @ SV1 )
= SV4 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[20]) ).
thf(23,plain,
! [SV6: $i,SV5: $i,SV2: $i] :
( ( ( response @ ( compose @ SV2 @ SV5 ) @ SV6 )
= ( response @ SV2 @ ( response @ SV5 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(24,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[18,23,22,19]) ).
thf(25,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : COL084-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.10 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Tue May 31 11:04:13 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.09/0.30
% 0.09/0.30 No.of.Axioms: 3
% 0.09/0.30
% 0.09/0.30 Length.of.Defs: 0
% 0.09/0.30
% 0.09/0.30 Contains.Choice.Funs: false
% 0.09/0.30 (rf:0,axioms:3,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:5,loop_count:0,foatp_calls:0,translation:fof_full).
% 0.14/0.32
% 0.14/0.32 ********************************
% 0.14/0.32 * All subproblems solved! *
% 0.14/0.32 ********************************
% 0.14/0.32 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:24,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.14/0.32
% 0.14/0.32 %**** Beginning of derivation protocol ****
% 0.14/0.32 % SZS output start CNFRefutation
% See solution above
% 0.14/0.32
% 0.14/0.32 %**** End of derivation protocol ****
% 0.14/0.32 %**** no. of clauses in derivation: 25 ****
% 0.14/0.32 %**** clause counter: 24 ****
% 0.14/0.32
% 0.14/0.32 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:3,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:24,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------