TSTP Solution File: COL052-2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : COL052-2 : 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 : n018.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 00:34:39 EDT 2022
% Result : Unsatisfiable 0.21s 0.54s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 48 ( 32 unt; 8 typ; 0 def)
% Number of atoms : 132 ( 63 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 199 ( 18 ~; 16 |; 0 &; 165 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 11 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 50 ( 0 ^ 50 !; 0 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_agreeable,type,
agreeable: $i > $o ).
thf(tp_b,type,
b: $i ).
thf(tp_c,type,
c: $i ).
thf(tp_common_bird,type,
common_bird: $i > $i ).
thf(tp_compatible,type,
compatible: $i > $i ).
thf(tp_compose,type,
compose: $i > $i > $i ).
thf(tp_response,type,
response: $i > $i > $i ).
thf(1,axiom,
! [X: $i,Z: $i] :
( ( ( response @ X @ Z )
!= ( response @ ( compatible @ X ) @ Z ) )
| ( agreeable @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agreeable2) ).
thf(2,axiom,
! [X: $i,Y: $i] :
( ~ ( agreeable @ X )
| ( ( response @ X @ ( common_bird @ Y ) )
= ( response @ Y @ ( common_bird @ Y ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agreeable1) ).
thf(3,axiom,
! [X: $i,Y: $i,W: $i] :
( ( response @ ( compose @ X @ Y ) @ W )
= ( response @ X @ ( response @ Y @ W ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',composer_exists) ).
thf(4,axiom,
( c
= ( compose @ a @ b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_composes_a_with_b) ).
thf(5,axiom,
agreeable @ c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_is_agreeable) ).
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,
~ ( agreeable @ a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_is_agreeable) ).
thf(9,plain,
$false = $false,
inference(unfold_def,[status(thm)],[7]) ).
thf(10,plain,
( ( ! [X: $i,Z: $i] :
( ( ( response @ X @ Z )
!= ( response @ ( compatible @ X ) @ Z ) )
| ( agreeable @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(11,plain,
( ( ! [X: $i,Y: $i] :
( ~ ( agreeable @ X )
| ( ( response @ X @ ( common_bird @ Y ) )
= ( response @ Y @ ( common_bird @ Y ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(12,plain,
( ( ! [X: $i,Y: $i,W: $i] :
( ( response @ ( compose @ X @ Y ) @ W )
= ( response @ X @ ( response @ Y @ W ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(13,plain,
( ( c
= ( compose @ a @ b ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(14,plain,
( ( agreeable @ c )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(15,plain,
( ( ~ ( agreeable @ a ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(16,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[9]) ).
thf(17,plain,
( ( ! [X: $i] :
( ! [Z: $i] :
( ( response @ X @ Z )
!= ( response @ ( compatible @ X ) @ Z ) )
| ( agreeable @ X ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[10]) ).
thf(18,plain,
( ( ! [X: $i] :
( ~ ( agreeable @ X )
| ! [Y: $i] :
( ( response @ X @ ( common_bird @ Y ) )
= ( response @ Y @ ( common_bird @ Y ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(19,plain,
( ( ~ ( agreeable @ a ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(20,plain,
( ( agreeable @ c )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(21,plain,
( ( c
= ( compose @ a @ b ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(22,plain,
( ( ! [X: $i,Y: $i,W: $i] :
( ( response @ ( compose @ X @ Y ) @ W )
= ( response @ X @ ( response @ Y @ W ) ) ) )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(23,plain,
( ( ! [X: $i] :
( ~ ( agreeable @ X )
| ! [Y: $i] :
( ( response @ X @ ( common_bird @ Y ) )
= ( response @ Y @ ( common_bird @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(24,plain,
( ( ! [X: $i] :
( ! [Z: $i] :
( ( response @ X @ Z )
!= ( response @ ( compatible @ X ) @ Z ) )
| ( agreeable @ X ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(25,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(26,plain,
( ( agreeable @ a )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(27,plain,
! [SV1: $i] :
( ( ! [SY7: $i,SY8: $i] :
( ( response @ ( compose @ SV1 @ SY7 ) @ SY8 )
= ( response @ SV1 @ ( response @ SY7 @ SY8 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[22]) ).
thf(28,plain,
! [SV2: $i] :
( ( ~ ( agreeable @ SV2 )
| ! [SY9: $i] :
( ( response @ SV2 @ ( common_bird @ SY9 ) )
= ( response @ SY9 @ ( common_bird @ SY9 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[23]) ).
thf(29,plain,
! [SV3: $i] :
( ( ! [SY10: $i] :
( ( response @ SV3 @ SY10 )
!= ( response @ ( compatible @ SV3 ) @ SY10 ) )
| ( agreeable @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[24]) ).
thf(30,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(31,plain,
! [SV4: $i,SV1: $i] :
( ( ! [SY11: $i] :
( ( response @ ( compose @ SV1 @ SV4 ) @ SY11 )
= ( response @ SV1 @ ( response @ SV4 @ SY11 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[27]) ).
thf(32,plain,
! [SV2: $i] :
( ( ( ~ ( agreeable @ SV2 ) )
= $true )
| ( ( ! [SY9: $i] :
( ( response @ SV2 @ ( common_bird @ SY9 ) )
= ( response @ SY9 @ ( common_bird @ SY9 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[28]) ).
thf(33,plain,
! [SV3: $i] :
( ( ( ! [SY10: $i] :
( ( response @ SV3 @ SY10 )
!= ( response @ ( compatible @ SV3 ) @ SY10 ) ) )
= $true )
| ( ( agreeable @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[29]) ).
thf(34,plain,
! [SV5: $i,SV4: $i,SV1: $i] :
( ( ( response @ ( compose @ SV1 @ SV4 ) @ SV5 )
= ( response @ SV1 @ ( response @ SV4 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV2: $i] :
( ( ( agreeable @ SV2 )
= $false )
| ( ( ! [SY9: $i] :
( ( response @ SV2 @ ( common_bird @ SY9 ) )
= ( response @ SY9 @ ( common_bird @ SY9 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV6: $i,SV3: $i] :
( ( ( ( ( response @ SV3 @ SV6 )
!= ( response @ ( compatible @ SV3 ) @ SV6 ) ) )
= $true )
| ( ( agreeable @ SV3 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(37,plain,
! [SV7: $i,SV2: $i] :
( ( ( ( response @ SV2 @ ( common_bird @ SV7 ) )
= ( response @ SV7 @ ( common_bird @ SV7 ) ) )
= $true )
| ( ( agreeable @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(38,plain,
! [SV6: $i,SV3: $i] :
( ( ( ( response @ SV3 @ SV6 )
= ( response @ ( compatible @ SV3 ) @ SV6 ) )
= $false )
| ( ( agreeable @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(39,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[20,38,37,34,30,26,21]) ).
thf(40,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : COL052-2 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue May 31 15:41:28 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.36
% 0.14/0.36 No.of.Axioms: 6
% 0.14/0.36
% 0.14/0.36 Length.of.Defs: 0
% 0.14/0.36
% 0.14/0.36 Contains.Choice.Funs: false
% 0.14/0.36 (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).
% 0.21/0.54
% 0.21/0.54 ********************************
% 0.21/0.54 * All subproblems solved! *
% 0.21/0.54 ********************************
% 0.21/0.54 % 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:39,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.21/0.54
% 0.21/0.54 %**** Beginning of derivation protocol ****
% 0.21/0.54 % SZS output start CNFRefutation
% See solution above
% 0.21/0.54
% 0.21/0.54 %**** End of derivation protocol ****
% 0.21/0.54 %**** no. of clauses in derivation: 40 ****
% 0.21/0.54 %**** clause counter: 39 ****
% 0.21/0.54
% 0.21/0.54 % 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:39,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------