TSTP Solution File: HEN009-5 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : HEN009-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n021.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 : Sat Jul 16 12:57:26 EDT 2022
% Result : Unsatisfiable 111.20s 111.51s
% Output : CNFRefutation 111.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 70 ( 48 unt; 4 typ; 0 def)
% Number of atoms : 274 ( 198 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 514 ( 52 ~; 60 |; 0 &; 402 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 7 ( 4 usr; 5 con; 0-2 aty)
% Number of variables : 143 ( 0 ^ 143 !; 0 ?; 143 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $i ).
thf(tp_divide,type,
divide: $i > $i > $i ).
thf(tp_identity,type,
identity: $i ).
thf(tp_zero,type,
zero: $i ).
thf(1,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( divide @ X @ Y )
!= zero )
| ( ( divide @ ( divide @ Z @ Y ) @ ( divide @ Z @ X ) )
= zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide2) ).
thf(2,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( divide @ ( divide @ X @ Y ) @ Z )
!= zero )
| ( ( divide @ ( divide @ X @ Z ) @ Y )
= zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_divide1) ).
thf(3,axiom,
! [X: $i,Y: $i,Z: $i] :
( ( ( divide @ X @ Y )
!= zero )
| ( ( divide @ Y @ Z )
!= zero )
| ( ( divide @ X @ Z )
= zero ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_divide_to_zero) ).
thf(4,axiom,
! [X: $i] :
( ( divide @ X @ identity )
= zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_is_largest) ).
thf(5,axiom,
! [X: $i,Y: $i] :
( ( ( divide @ X @ Y )
!= zero )
| ( ( divide @ Y @ X )
!= zero )
| ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',divide_and_equal) ).
thf(6,axiom,
! [X: $i] :
( ( divide @ zero @ X )
= zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',zero_is_smallest) ).
thf(7,axiom,
! [X: $i,Z: $i,Y: $i] :
( ( divide @ ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @ ( divide @ ( divide @ X @ Y ) @ Z ) )
= zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_property) ).
thf(8,axiom,
! [X: $i,Y: $i] :
( ( divide @ ( divide @ X @ Y ) @ X )
= zero ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quotient_smaller_than_numerator) ).
thf(11,negated_conjecture,
( divide @ identity @ a )
!= ( divide @ identity @ ( divide @ identity @ ( divide @ identity @ a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this) ).
thf(13,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( divide @ X @ Y )
!= zero )
| ( ( divide @ ( divide @ Z @ Y ) @ ( divide @ Z @ X ) )
= zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(14,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( divide @ ( divide @ X @ Y ) @ Z )
!= zero )
| ( ( divide @ ( divide @ X @ Z ) @ Y )
= zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(15,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( divide @ X @ Y )
!= zero )
| ( ( divide @ Y @ Z )
!= zero )
| ( ( divide @ X @ Z )
= zero ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(16,plain,
( ( ! [X: $i] :
( ( divide @ X @ identity )
= zero ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(17,plain,
( ( ! [X: $i,Y: $i] :
( ( ( divide @ X @ Y )
!= zero )
| ( ( divide @ Y @ X )
!= zero )
| ( X = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(18,plain,
( ( ! [X: $i] :
( ( divide @ zero @ X )
= zero ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(19,plain,
( ( ! [X: $i,Z: $i,Y: $i] :
( ( divide @ ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @ ( divide @ ( divide @ X @ Y ) @ Z ) )
= zero ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(20,plain,
( ( ! [X: $i,Y: $i] :
( ( divide @ ( divide @ X @ Y ) @ X )
= zero ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(21,plain,
( ( ( ( divide @ identity @ a )
!= ( divide @ identity @ ( divide @ identity @ ( divide @ identity @ a ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(23,plain,
( ( ! [X: $i,Y: $i] :
( ( ( divide @ X @ Y )
!= zero )
| ! [Z: $i] :
( ( divide @ ( divide @ Z @ Y ) @ ( divide @ Z @ X ) )
= zero ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[13]) ).
thf(24,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( divide @ ( divide @ X @ Y ) @ Z )
!= zero )
| ( ( divide @ ( divide @ X @ Z ) @ Y )
= zero ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[14]) ).
thf(25,plain,
( ( ! [X: $i,Y: $i] :
( ( ( divide @ X @ Y )
!= zero )
| ! [Z: $i] :
( ( ( divide @ Y @ Z )
!= zero )
| ( ( divide @ X @ Z )
= zero ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[15]) ).
thf(26,plain,
( ( ! [X: $i,Y: $i] :
( ( ( divide @ X @ Y )
!= zero )
| ( ( divide @ Y @ X )
!= zero )
| ( X = Y ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(27,plain,
( ( ( ( divide @ identity @ a )
!= ( divide @ identity @ ( divide @ identity @ ( divide @ identity @ a ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[21]) ).
thf(28,plain,
( ( ( ( divide @ identity @ a )
!= ( divide @ identity @ ( divide @ identity @ ( divide @ identity @ a ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(29,plain,
( ( ! [X: $i,Y: $i] :
( ( divide @ ( divide @ X @ Y ) @ X )
= zero ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(30,plain,
( ( ! [X: $i,Z: $i,Y: $i] :
( ( divide @ ( divide @ ( divide @ X @ Z ) @ ( divide @ Y @ Z ) ) @ ( divide @ ( divide @ X @ Y ) @ Z ) )
= zero ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(31,plain,
( ( ! [X: $i] :
( ( divide @ zero @ X )
= zero ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(32,plain,
( ( ! [X: $i,Y: $i] :
( ( ( divide @ X @ Y )
!= zero )
| ( ( divide @ Y @ X )
!= zero )
| ( X = Y ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(33,plain,
( ( ! [X: $i] :
( ( divide @ X @ identity )
= zero ) )
= $true ),
inference(copy,[status(thm)],[16]) ).
thf(34,plain,
( ( ! [X: $i,Y: $i] :
( ( ( divide @ X @ Y )
!= zero )
| ! [Z: $i] :
( ( ( divide @ Y @ Z )
!= zero )
| ( ( divide @ X @ Z )
= zero ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(35,plain,
( ( ! [X: $i,Y: $i,Z: $i] :
( ( ( divide @ ( divide @ X @ Y ) @ Z )
!= zero )
| ( ( divide @ ( divide @ X @ Z ) @ Y )
= zero ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(36,plain,
( ( ! [X: $i,Y: $i] :
( ( ( divide @ X @ Y )
!= zero )
| ! [Z: $i] :
( ( divide @ ( divide @ Z @ Y ) @ ( divide @ Z @ X ) )
= zero ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(38,plain,
( ( ( divide @ identity @ a )
= ( divide @ identity @ ( divide @ identity @ ( divide @ identity @ a ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[28]) ).
thf(39,plain,
! [SV1: $i] :
( ( ! [SY18: $i] :
( ( divide @ ( divide @ SV1 @ SY18 ) @ SV1 )
= zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(40,plain,
! [SV2: $i] :
( ( ! [SY19: $i,SY20: $i] :
( ( divide @ ( divide @ ( divide @ SV2 @ SY19 ) @ ( divide @ SY20 @ SY19 ) ) @ ( divide @ ( divide @ SV2 @ SY20 ) @ SY19 ) )
= zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(41,plain,
! [SV3: $i] :
( ( ( divide @ zero @ SV3 )
= zero )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[31]) ).
thf(42,plain,
! [SV4: $i] :
( ( ! [SY21: $i] :
( ( ( divide @ SV4 @ SY21 )
!= zero )
| ( ( divide @ SY21 @ SV4 )
!= zero )
| ( SV4 = SY21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(43,plain,
! [SV5: $i] :
( ( ( divide @ SV5 @ identity )
= zero )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(44,plain,
! [SV6: $i] :
( ( ! [SY22: $i] :
( ( ( divide @ SV6 @ SY22 )
!= zero )
| ! [SY23: $i] :
( ( ( divide @ SY22 @ SY23 )
!= zero )
| ( ( divide @ SV6 @ SY23 )
= zero ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[34]) ).
thf(45,plain,
! [SV7: $i] :
( ( ! [SY24: $i,SY25: $i] :
( ( ( divide @ ( divide @ SV7 @ SY24 ) @ SY25 )
!= zero )
| ( ( divide @ ( divide @ SV7 @ SY25 ) @ SY24 )
= zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(46,plain,
! [SV8: $i] :
( ( ! [SY26: $i] :
( ( ( divide @ SV8 @ SY26 )
!= zero )
| ! [SY27: $i] :
( ( divide @ ( divide @ SY27 @ SY26 ) @ ( divide @ SY27 @ SV8 ) )
= zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[36]) ).
thf(48,plain,
! [SV9: $i,SV1: $i] :
( ( ( divide @ ( divide @ SV1 @ SV9 ) @ SV1 )
= zero )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(49,plain,
! [SV10: $i,SV2: $i] :
( ( ! [SY28: $i] :
( ( divide @ ( divide @ ( divide @ SV2 @ SV10 ) @ ( divide @ SY28 @ SV10 ) ) @ ( divide @ ( divide @ SV2 @ SY28 ) @ SV10 ) )
= zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(50,plain,
! [SV11: $i,SV4: $i] :
( ( ( ( divide @ SV4 @ SV11 )
!= zero )
| ( ( divide @ SV11 @ SV4 )
!= zero )
| ( SV4 = SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(51,plain,
! [SV12: $i,SV6: $i] :
( ( ( ( divide @ SV6 @ SV12 )
!= zero )
| ! [SY29: $i] :
( ( ( divide @ SV12 @ SY29 )
!= zero )
| ( ( divide @ SV6 @ SY29 )
= zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(52,plain,
! [SV13: $i,SV7: $i] :
( ( ! [SY30: $i] :
( ( ( divide @ ( divide @ SV7 @ SV13 ) @ SY30 )
!= zero )
| ( ( divide @ ( divide @ SV7 @ SY30 ) @ SV13 )
= zero ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(53,plain,
! [SV14: $i,SV8: $i] :
( ( ( ( divide @ SV8 @ SV14 )
!= zero )
| ! [SY31: $i] :
( ( divide @ ( divide @ SY31 @ SV14 ) @ ( divide @ SY31 @ SV8 ) )
= zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(54,plain,
! [SV15: $i,SV10: $i,SV2: $i] :
( ( ( divide @ ( divide @ ( divide @ SV2 @ SV10 ) @ ( divide @ SV15 @ SV10 ) ) @ ( divide @ ( divide @ SV2 @ SV15 ) @ SV10 ) )
= zero )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[49]) ).
thf(55,plain,
! [SV11: $i,SV4: $i] :
( ( ( ( ( divide @ SV4 @ SV11 )
!= zero ) )
= $true )
| ( ( ( ( divide @ SV11 @ SV4 )
!= zero )
| ( SV4 = SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[50]) ).
thf(56,plain,
! [SV12: $i,SV6: $i] :
( ( ( ( ( divide @ SV6 @ SV12 )
!= zero ) )
= $true )
| ( ( ! [SY29: $i] :
( ( ( divide @ SV12 @ SY29 )
!= zero )
| ( ( divide @ SV6 @ SY29 )
= zero ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(57,plain,
! [SV16: $i,SV13: $i,SV7: $i] :
( ( ( ( divide @ ( divide @ SV7 @ SV13 ) @ SV16 )
!= zero )
| ( ( divide @ ( divide @ SV7 @ SV16 ) @ SV13 )
= zero ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(58,plain,
! [SV14: $i,SV8: $i] :
( ( ( ( ( divide @ SV8 @ SV14 )
!= zero ) )
= $true )
| ( ( ! [SY31: $i] :
( ( divide @ ( divide @ SY31 @ SV14 ) @ ( divide @ SY31 @ SV8 ) )
= zero ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(59,plain,
! [SV11: $i,SV4: $i] :
( ( ( ( divide @ SV4 @ SV11 )
= zero )
= $false )
| ( ( ( ( divide @ SV11 @ SV4 )
!= zero )
| ( SV4 = SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[55]) ).
thf(60,plain,
! [SV12: $i,SV6: $i] :
( ( ( ( divide @ SV6 @ SV12 )
= zero )
= $false )
| ( ( ! [SY29: $i] :
( ( ( divide @ SV12 @ SY29 )
!= zero )
| ( ( divide @ SV6 @ SY29 )
= zero ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(61,plain,
! [SV16: $i,SV13: $i,SV7: $i] :
( ( ( ( ( divide @ ( divide @ SV7 @ SV13 ) @ SV16 )
!= zero ) )
= $true )
| ( ( ( divide @ ( divide @ SV7 @ SV16 ) @ SV13 )
= zero )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(62,plain,
! [SV14: $i,SV8: $i] :
( ( ( ( divide @ SV8 @ SV14 )
= zero )
= $false )
| ( ( ! [SY31: $i] :
( ( divide @ ( divide @ SY31 @ SV14 ) @ ( divide @ SY31 @ SV8 ) )
= zero ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[58]) ).
thf(63,plain,
! [SV4: $i,SV11: $i] :
( ( ( ( ( divide @ SV11 @ SV4 )
!= zero ) )
= $true )
| ( ( SV4 = SV11 )
= $true )
| ( ( ( divide @ SV4 @ SV11 )
= zero )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[59]) ).
thf(64,plain,
! [SV6: $i,SV17: $i,SV12: $i] :
( ( ( ( ( divide @ SV12 @ SV17 )
!= zero )
| ( ( divide @ SV6 @ SV17 )
= zero ) )
= $true )
| ( ( ( divide @ SV6 @ SV12 )
= zero )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(65,plain,
! [SV16: $i,SV13: $i,SV7: $i] :
( ( ( ( divide @ ( divide @ SV7 @ SV13 ) @ SV16 )
= zero )
= $false )
| ( ( ( divide @ ( divide @ SV7 @ SV16 ) @ SV13 )
= zero )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[61]) ).
thf(66,plain,
! [SV8: $i,SV14: $i,SV18: $i] :
( ( ( ( divide @ ( divide @ SV18 @ SV14 ) @ ( divide @ SV18 @ SV8 ) )
= zero )
= $true )
| ( ( ( divide @ SV8 @ SV14 )
= zero )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(67,plain,
! [SV4: $i,SV11: $i] :
( ( ( ( divide @ SV11 @ SV4 )
= zero )
= $false )
| ( ( SV4 = SV11 )
= $true )
| ( ( ( divide @ SV4 @ SV11 )
= zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[63]) ).
thf(68,plain,
! [SV6: $i,SV17: $i,SV12: $i] :
( ( ( ( ( divide @ SV12 @ SV17 )
!= zero ) )
= $true )
| ( ( ( divide @ SV6 @ SV17 )
= zero )
= $true )
| ( ( ( divide @ SV6 @ SV12 )
= zero )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[64]) ).
thf(69,plain,
! [SV6: $i,SV17: $i,SV12: $i] :
( ( ( ( divide @ SV12 @ SV17 )
= zero )
= $false )
| ( ( ( divide @ SV6 @ SV17 )
= zero )
= $true )
| ( ( ( divide @ SV6 @ SV12 )
= zero )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[68]) ).
thf(70,plain,
( ( a
= ( divide @ identity @ ( divide @ identity @ a ) ) )
= $false ),
inference(extuni,[status(esa)],[38]) ).
thf(71,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[38,70,69,67,66,65,54,48,43,41]) ).
thf(72,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : HEN009-5 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.32 % Computer : n021.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Fri Jul 1 13:08:59 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.33
% 0.17/0.33 No.of.Axioms: 9
% 0.17/0.33
% 0.17/0.33 Length.of.Defs: 0
% 0.17/0.33
% 0.17/0.33 Contains.Choice.Funs: false
% 0.17/0.33 (rf:0,axioms:9,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:11,loop_count:0,foatp_calls:0,translation:fof_full)...eprover: CPU time limit exceeded, terminating
% 74.25/74.53 .
% 111.20/111.51
% 111.20/111.51 ********************************
% 111.20/111.51 * All subproblems solved! *
% 111.20/111.51 ********************************
% 111.20/111.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:9,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:71,loop_count:0,foatp_calls:2,translation:fof_full)
% 111.20/111.51
% 111.20/111.51 %**** Beginning of derivation protocol ****
% 111.20/111.51 % SZS output start CNFRefutation
% See solution above
% 111.20/111.51
% 111.20/111.51 %**** End of derivation protocol ****
% 111.20/111.51 %**** no. of clauses in derivation: 66 ****
% 111.20/111.51 %**** clause counter: 71 ****
% 111.20/111.51
% 111.20/111.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:9,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:71,loop_count:0,foatp_calls:2,translation:fof_full)
%------------------------------------------------------------------------------