TSTP Solution File: ROB016-1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : ROB016-1 : 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 : n028.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 : Mon Jul 18 20:54:07 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 21
% Syntax : Number of formulae : 76 ( 54 unt; 9 typ; 0 def)
% Number of atoms : 235 ( 124 equ; 0 cnn)
% Maximal formula atoms : 3 ( 3 avg)
% Number of connectives : 587 ( 34 ~; 36 |; 0 &; 517 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 7 ( 7 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 97 ( 0 ^ 97 !; 0 ?; 97 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_add,type,
add: $i > $i > $i ).
thf(tp_d,type,
d: $i ).
thf(tp_e,type,
e: $i ).
thf(tp_k,type,
k: $i ).
thf(tp_multiply,type,
multiply: $i > $i > $i ).
thf(tp_negate,type,
negate: $i > $i ).
thf(tp_one,type,
one: $i ).
thf(tp_positive_integer,type,
positive_integer: $i > $o ).
thf(tp_successor,type,
successor: $i > $i ).
thf(1,axiom,
! [Y: $i,X: $i,Vk: $i] :
( ( ( negate @ ( add @ ( negate @ Y ) @ ( negate @ ( add @ X @ ( negate @ Y ) ) ) ) )
!= X )
| ~ ( positive_integer @ Vk )
| ( ( negate @ ( add @ Y @ ( multiply @ Vk @ ( add @ X @ ( negate @ ( add @ X @ ( negate @ Y ) ) ) ) ) ) )
= ( negate @ Y ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_3_6) ).
thf(2,axiom,
positive_integer @ k,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_positive) ).
thf(3,axiom,
! [X: $i] :
( ~ ( positive_integer @ X )
| ( positive_integer @ ( successor @ X ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',next_integer) ).
thf(4,axiom,
positive_integer @ one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one) ).
thf(5,axiom,
! [X: $i,V: $i] :
( ~ ( positive_integer @ X )
| ( ( multiply @ ( successor @ V ) @ X )
= ( add @ X @ ( multiply @ V @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',times_by_adding) ).
thf(6,axiom,
! [X: $i] :
( ( multiply @ one @ X )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',one_times_x) ).
thf(7,axiom,
! [X: $i,Y: $i] :
( ( negate @ ( add @ ( negate @ ( add @ X @ Y ) ) @ ( negate @ ( add @ X @ ( negate @ Y ) ) ) ) )
= X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',robbins_axiom) ).
thf(8,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( add @ ( add @ X @ Y ) @ Z )
= ( add @ X @ ( add @ Y @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_add) ).
thf(9,axiom,
! [X: $i,Y: $i] :
( ( add @ X @ Y )
= ( add @ Y @ X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
thf(10,axiom,
( ( negate @ ( add @ d @ e ) )
= ( negate @ e ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).
thf(11,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(12,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[11]) ).
thf(13,negated_conjecture,
( negate @ ( add @ e @ ( multiply @ k @ ( add @ d @ ( negate @ ( add @ d @ ( negate @ e ) ) ) ) ) ) )
!= ( negate @ e ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_result) ).
thf(14,plain,
$false = $false,
inference(unfold_def,[status(thm)],[12]) ).
thf(15,plain,
( ( ! [Y: $i,X: $i,Vk: $i] :
( ( ( negate @ ( add @ ( negate @ Y ) @ ( negate @ ( add @ X @ ( negate @ Y ) ) ) ) )
!= X )
| ~ ( positive_integer @ Vk )
| ( ( negate @ ( add @ Y @ ( multiply @ Vk @ ( add @ X @ ( negate @ ( add @ X @ ( negate @ Y ) ) ) ) ) ) )
= ( negate @ Y ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(16,plain,
( ( positive_integer @ k )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(17,plain,
( ( ! [X: $i] :
( ~ ( positive_integer @ X )
| ( positive_integer @ ( successor @ X ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(18,plain,
( ( positive_integer @ one )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(19,plain,
( ( ! [X: $i,V: $i] :
( ~ ( positive_integer @ X )
| ( ( multiply @ ( successor @ V ) @ X )
= ( add @ X @ ( multiply @ V @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(20,plain,
( ( ! [X: $i] :
( ( multiply @ one @ X )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(21,plain,
( ( ! [X: $i,Y: $i] :
( ( negate @ ( add @ ( negate @ ( add @ X @ Y ) ) @ ( negate @ ( add @ X @ ( negate @ Y ) ) ) ) )
= X ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(22,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( add @ ( add @ X @ Y ) @ Z )
= ( add @ X @ ( add @ Y @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(23,plain,
( ( ! [X: $i,Y: $i] :
( ( add @ X @ Y )
= ( add @ Y @ X ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(24,plain,
( ( ( negate @ ( add @ d @ e ) )
= ( negate @ e ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(25,plain,
( ( ( ( negate @ ( add @ e @ ( multiply @ k @ ( add @ d @ ( negate @ ( add @ d @ ( negate @ e ) ) ) ) ) ) )
!= ( negate @ e ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(26,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[14]) ).
thf(27,plain,
( ( ! [Y: $i,X: $i] :
( ( ( negate @ ( add @ ( negate @ Y ) @ ( negate @ ( add @ X @ ( negate @ Y ) ) ) ) )
!= X )
| ! [Vk: $i] :
( ~ ( positive_integer @ Vk )
| ( ( negate @ ( add @ Y @ ( multiply @ Vk @ ( add @ X @ ( negate @ ( add @ X @ ( negate @ Y ) ) ) ) ) ) )
= ( negate @ Y ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(28,plain,
( ( ! [X: $i] :
( ~ ( positive_integer @ X )
| ! [V: $i] :
( ( multiply @ ( successor @ V ) @ X )
= ( add @ X @ ( multiply @ V @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[19]) ).
thf(29,plain,
( ( ( ( negate @ ( add @ e @ ( multiply @ k @ ( add @ d @ ( negate @ ( add @ d @ ( negate @ e ) ) ) ) ) ) )
!= ( negate @ e ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(30,plain,
( ( ( ( negate @ ( add @ e @ ( multiply @ k @ ( add @ d @ ( negate @ ( add @ d @ ( negate @ e ) ) ) ) ) ) )
!= ( negate @ e ) ) )
= $true ),
inference(copy,[status(thm)],[29]) ).
thf(31,plain,
( ( ( negate @ ( add @ d @ e ) )
= ( negate @ e ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(32,plain,
( ( ! [X: $i,Y: $i] :
( ( add @ X @ Y )
= ( add @ Y @ X ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(33,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( add @ ( add @ X @ Y ) @ Z )
= ( add @ X @ ( add @ Y @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(34,plain,
( ( ! [X: $i,Y: $i] :
( ( negate @ ( add @ ( negate @ ( add @ X @ Y ) ) @ ( negate @ ( add @ X @ ( negate @ Y ) ) ) ) )
= X ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(35,plain,
( ( ! [X: $i] :
( ( multiply @ one @ X )
= X ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(36,plain,
( ( ! [X: $i] :
( ~ ( positive_integer @ X )
| ! [V: $i] :
( ( multiply @ ( successor @ V ) @ X )
= ( add @ X @ ( multiply @ V @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(37,plain,
( ( positive_integer @ one )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(38,plain,
( ( ! [X: $i] :
( ~ ( positive_integer @ X )
| ( positive_integer @ ( successor @ X ) ) ) )
= $true ),
inference(copy,[status(thm)],[17]) ).
thf(39,plain,
( ( positive_integer @ k )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(40,plain,
( ( ! [Y: $i,X: $i] :
( ( ( negate @ ( add @ ( negate @ Y ) @ ( negate @ ( add @ X @ ( negate @ Y ) ) ) ) )
!= X )
| ! [Vk: $i] :
( ~ ( positive_integer @ Vk )
| ( ( negate @ ( add @ Y @ ( multiply @ Vk @ ( add @ X @ ( negate @ ( add @ X @ ( negate @ Y ) ) ) ) ) ) )
= ( negate @ Y ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(41,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(42,plain,
( ( ( negate @ ( add @ e @ ( multiply @ k @ ( add @ d @ ( negate @ ( add @ d @ ( negate @ e ) ) ) ) ) ) )
= ( negate @ e ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(43,plain,
! [SV1: $i] :
( ( ! [SY14: $i] :
( ( add @ SV1 @ SY14 )
= ( add @ SY14 @ SV1 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(44,plain,
! [SV2: $i] :
( ( ! [SY15: $i,SY16: $i] :
( ( add @ ( add @ SV2 @ SY15 ) @ SY16 )
= ( add @ SV2 @ ( add @ SY15 @ SY16 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(45,plain,
! [SV3: $i] :
( ( ! [SY17: $i] :
( ( negate @ ( add @ ( negate @ ( add @ SV3 @ SY17 ) ) @ ( negate @ ( add @ SV3 @ ( negate @ SY17 ) ) ) ) )
= SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(46,plain,
! [SV4: $i] :
( ( ( multiply @ one @ SV4 )
= SV4 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(47,plain,
! [SV5: $i] :
( ( ~ ( positive_integer @ SV5 )
| ! [SY18: $i] :
( ( multiply @ ( successor @ SY18 ) @ SV5 )
= ( add @ SV5 @ ( multiply @ SY18 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(48,plain,
! [SV6: $i] :
( ( ~ ( positive_integer @ SV6 )
| ( positive_integer @ ( successor @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(49,plain,
! [SV7: $i] :
( ( ! [SY19: $i] :
( ( ( negate @ ( add @ ( negate @ SV7 ) @ ( negate @ ( add @ SY19 @ ( negate @ SV7 ) ) ) ) )
!= SY19 )
| ! [SY20: $i] :
( ~ ( positive_integer @ SY20 )
| ( ( negate @ ( add @ SV7 @ ( multiply @ SY20 @ ( add @ SY19 @ ( negate @ ( add @ SY19 @ ( negate @ SV7 ) ) ) ) ) ) )
= ( negate @ SV7 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(50,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[41]) ).
thf(51,plain,
! [SV8: $i,SV1: $i] :
( ( ( add @ SV1 @ SV8 )
= ( add @ SV8 @ SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(52,plain,
! [SV9: $i,SV2: $i] :
( ( ! [SY21: $i] :
( ( add @ ( add @ SV2 @ SV9 ) @ SY21 )
= ( add @ SV2 @ ( add @ SV9 @ SY21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(53,plain,
! [SV10: $i,SV3: $i] :
( ( ( negate @ ( add @ ( negate @ ( add @ SV3 @ SV10 ) ) @ ( negate @ ( add @ SV3 @ ( negate @ SV10 ) ) ) ) )
= SV3 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(54,plain,
! [SV5: $i] :
( ( ( ~ ( positive_integer @ SV5 ) )
= $true )
| ( ( ! [SY18: $i] :
( ( multiply @ ( successor @ SY18 ) @ SV5 )
= ( add @ SV5 @ ( multiply @ SY18 @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[47]) ).
thf(55,plain,
! [SV6: $i] :
( ( ( ~ ( positive_integer @ SV6 ) )
= $true )
| ( ( positive_integer @ ( successor @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[48]) ).
thf(56,plain,
! [SV11: $i,SV7: $i] :
( ( ( ( negate @ ( add @ ( negate @ SV7 ) @ ( negate @ ( add @ SV11 @ ( negate @ SV7 ) ) ) ) )
!= SV11 )
| ! [SY22: $i] :
( ~ ( positive_integer @ SY22 )
| ( ( negate @ ( add @ SV7 @ ( multiply @ SY22 @ ( add @ SV11 @ ( negate @ ( add @ SV11 @ ( negate @ SV7 ) ) ) ) ) ) )
= ( negate @ SV7 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(57,plain,
! [SV12: $i,SV9: $i,SV2: $i] :
( ( ( add @ ( add @ SV2 @ SV9 ) @ SV12 )
= ( add @ SV2 @ ( add @ SV9 @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(58,plain,
! [SV5: $i] :
( ( ( positive_integer @ SV5 )
= $false )
| ( ( ! [SY18: $i] :
( ( multiply @ ( successor @ SY18 ) @ SV5 )
= ( add @ SV5 @ ( multiply @ SY18 @ SV5 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(59,plain,
! [SV6: $i] :
( ( ( positive_integer @ SV6 )
= $false )
| ( ( positive_integer @ ( successor @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(60,plain,
! [SV11: $i,SV7: $i] :
( ( ( ( ( negate @ ( add @ ( negate @ SV7 ) @ ( negate @ ( add @ SV11 @ ( negate @ SV7 ) ) ) ) )
!= SV11 ) )
= $true )
| ( ( ! [SY22: $i] :
( ~ ( positive_integer @ SY22 )
| ( ( negate @ ( add @ SV7 @ ( multiply @ SY22 @ ( add @ SV11 @ ( negate @ ( add @ SV11 @ ( negate @ SV7 ) ) ) ) ) ) )
= ( negate @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(61,plain,
! [SV5: $i,SV13: $i] :
( ( ( ( multiply @ ( successor @ SV13 ) @ SV5 )
= ( add @ SV5 @ ( multiply @ SV13 @ SV5 ) ) )
= $true )
| ( ( positive_integer @ SV5 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(62,plain,
! [SV11: $i,SV7: $i] :
( ( ( ( negate @ ( add @ ( negate @ SV7 ) @ ( negate @ ( add @ SV11 @ ( negate @ SV7 ) ) ) ) )
= SV11 )
= $false )
| ( ( ! [SY22: $i] :
( ~ ( positive_integer @ SY22 )
| ( ( negate @ ( add @ SV7 @ ( multiply @ SY22 @ ( add @ SV11 @ ( negate @ ( add @ SV11 @ ( negate @ SV7 ) ) ) ) ) ) )
= ( negate @ SV7 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[60]) ).
thf(63,plain,
! [SV11: $i,SV7: $i,SV14: $i] :
( ( ( ~ ( positive_integer @ SV14 )
| ( ( negate @ ( add @ SV7 @ ( multiply @ SV14 @ ( add @ SV11 @ ( negate @ ( add @ SV11 @ ( negate @ SV7 ) ) ) ) ) ) )
= ( negate @ SV7 ) ) )
= $true )
| ( ( ( negate @ ( add @ ( negate @ SV7 ) @ ( negate @ ( add @ SV11 @ ( negate @ SV7 ) ) ) ) )
= SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(64,plain,
! [SV11: $i,SV7: $i,SV14: $i] :
( ( ( ~ ( positive_integer @ SV14 ) )
= $true )
| ( ( ( negate @ ( add @ SV7 @ ( multiply @ SV14 @ ( add @ SV11 @ ( negate @ ( add @ SV11 @ ( negate @ SV7 ) ) ) ) ) ) )
= ( negate @ SV7 ) )
= $true )
| ( ( ( negate @ ( add @ ( negate @ SV7 ) @ ( negate @ ( add @ SV11 @ ( negate @ SV7 ) ) ) ) )
= SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[63]) ).
thf(65,plain,
! [SV11: $i,SV7: $i,SV14: $i] :
( ( ( positive_integer @ SV14 )
= $false )
| ( ( ( negate @ ( add @ SV7 @ ( multiply @ SV14 @ ( add @ SV11 @ ( negate @ ( add @ SV11 @ ( negate @ SV7 ) ) ) ) ) ) )
= ( negate @ SV7 ) )
= $true )
| ( ( ( negate @ ( add @ ( negate @ SV7 ) @ ( negate @ ( add @ SV11 @ ( negate @ SV7 ) ) ) ) )
= SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[64]) ).
thf(66,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[31,65,61,59,57,53,51,50,46,42,39,37]) ).
thf(67,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : ROB016-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n028.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 : Thu Jun 9 15:02:47 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 11
% 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:11,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:13,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.19/0.50
% 0.19/0.50 ********************************
% 0.19/0.50 * All subproblems solved! *
% 0.19/0.50 ********************************
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:11,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:66,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.50
% 0.19/0.50 %**** Beginning of derivation protocol ****
% 0.19/0.50 % SZS output start CNFRefutation
% See solution above
% 0.19/0.50
% 0.19/0.50 %**** End of derivation protocol ****
% 0.19/0.50 %**** no. of clauses in derivation: 67 ****
% 0.19/0.50 %**** clause counter: 66 ****
% 0.19/0.50
% 0.19/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:11,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:66,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------