TSTP Solution File: ANA013-2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : ANA013-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n005.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 14 19:10:26 EDT 2022
% Result : Unsatisfiable 0.11s 0.36s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of formulae : 39 ( 23 unt; 9 typ; 0 def)
% Number of atoms : 102 ( 29 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 173 ( 17 ~; 14 |; 0 &; 142 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 12 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 27 ( 0 ^ 27 !; 0 ?; 27 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_HOL_Oabs,type,
c_HOL_Oabs: $i > $i > $i ).
thf(tp_c_lessequals,type,
c_lessequals: $i > $i > $i > $o ).
thf(tp_c_times,type,
c_times: $i > $i > $i > $i ).
thf(tp_class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
thf(tp_class_Ring__and__Field_Oordered__idom,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
thf(tp_t_b,type,
t_b: $i ).
thf(tp_v_c,type,
v_c: $i ).
thf(tp_v_f,type,
v_f: $i > $i ).
thf(tp_v_x,type,
v_x: $i > $i ).
thf(1,axiom,
! [T: $i] :
( ~ ( class_Ring__and__Field_Oordered__idom @ T )
| ( class_Orderings_Oorder @ T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
thf(2,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_lessequals @ V_x @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
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,
class_Ring__and__Field_Oordered__idom @ t_b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tfree_tcs) ).
thf(6,negated_conjecture,
! [V_U: $i] :
~ ( c_lessequals @ ( c_times @ ( c_HOL_Oabs @ v_c @ t_b ) @ ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @ ( c_times @ V_U @ ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @ t_b ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(7,plain,
$false = $false,
inference(unfold_def,[status(thm)],[4]) ).
thf(8,plain,
( ( ! [T: $i] :
( ~ ( class_Ring__and__Field_Oordered__idom @ T )
| ( class_Orderings_Oorder @ T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(9,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_lessequals @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(10,plain,
( ( class_Ring__and__Field_Oordered__idom @ t_b )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(11,plain,
( ( ! [V_U: $i] :
~ ( c_lessequals @ ( c_times @ ( c_HOL_Oabs @ v_c @ t_b ) @ ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @ ( c_times @ V_U @ ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @ t_b ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(12,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[7]) ).
thf(13,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ! [V_x: $i] : ( c_lessequals @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(14,plain,
( ( ! [V_U: $i] :
~ ( c_lessequals @ ( c_times @ ( c_HOL_Oabs @ v_c @ t_b ) @ ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @ ( c_times @ V_U @ ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @ t_b ) )
= $true ),
inference(copy,[status(thm)],[11]) ).
thf(15,plain,
( ( class_Ring__and__Field_Oordered__idom @ t_b )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(16,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ! [V_x: $i] : ( c_lessequals @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[13]) ).
thf(17,plain,
( ( ! [T: $i] :
( ~ ( class_Ring__and__Field_Oordered__idom @ T )
| ( class_Orderings_Oorder @ T ) ) )
= $true ),
inference(copy,[status(thm)],[8]) ).
thf(18,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(19,plain,
! [SV1: $i] :
( ( ~ ( c_lessequals @ ( c_times @ ( c_HOL_Oabs @ v_c @ t_b ) @ ( c_HOL_Oabs @ ( v_f @ ( v_x @ SV1 ) ) @ t_b ) @ t_b ) @ ( c_times @ SV1 @ ( c_HOL_Oabs @ ( v_f @ ( v_x @ SV1 ) ) @ t_b ) @ t_b ) @ t_b ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[14]) ).
thf(20,plain,
! [SV2: $i] :
( ( ~ ( class_Orderings_Oorder @ SV2 )
| ! [SY4: $i] : ( c_lessequals @ SY4 @ SY4 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[16]) ).
thf(21,plain,
! [SV3: $i] :
( ( ~ ( class_Ring__and__Field_Oordered__idom @ SV3 )
| ( class_Orderings_Oorder @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[17]) ).
thf(22,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[18]) ).
thf(23,plain,
! [SV1: $i] :
( ( c_lessequals @ ( c_times @ ( c_HOL_Oabs @ v_c @ t_b ) @ ( c_HOL_Oabs @ ( v_f @ ( v_x @ SV1 ) ) @ t_b ) @ t_b ) @ ( c_times @ SV1 @ ( c_HOL_Oabs @ ( v_f @ ( v_x @ SV1 ) ) @ t_b ) @ t_b ) @ t_b )
= $false ),
inference(extcnf_not_pos,[status(thm)],[19]) ).
thf(24,plain,
! [SV2: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV2 ) )
= $true )
| ( ( ! [SY4: $i] : ( c_lessequals @ SY4 @ SY4 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[20]) ).
thf(25,plain,
! [SV3: $i] :
( ( ( ~ ( class_Ring__and__Field_Oordered__idom @ SV3 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[21]) ).
thf(26,plain,
! [SV2: $i] :
( ( ( class_Orderings_Oorder @ SV2 )
= $false )
| ( ( ! [SY4: $i] : ( c_lessequals @ SY4 @ SY4 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[24]) ).
thf(27,plain,
! [SV3: $i] :
( ( ( class_Ring__and__Field_Oordered__idom @ SV3 )
= $false )
| ( ( class_Orderings_Oorder @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[25]) ).
thf(28,plain,
! [SV2: $i,SV4: $i] :
( ( ( c_lessequals @ SV4 @ SV4 @ SV2 )
= $true )
| ( ( class_Orderings_Oorder @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[26]) ).
thf(29,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[15,28,27,23,22]) ).
thf(30,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.11 % Problem : ANA013-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.11 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Fri Jul 8 06:40:07 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.11/0.32
% 0.11/0.32 No.of.Axioms: 4
% 0.11/0.32
% 0.11/0.32 Length.of.Defs: 0
% 0.11/0.32
% 0.11/0.32 Contains.Choice.Funs: false
% 0.11/0.33 (rf:0,axioms:4,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:6,loop_count:0,foatp_calls:0,translation:fof_full).
% 0.11/0.36
% 0.11/0.36 ********************************
% 0.11/0.36 * All subproblems solved! *
% 0.11/0.36 ********************************
% 0.11/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:4,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:29,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.11/0.36
% 0.11/0.36 %**** Beginning of derivation protocol ****
% 0.11/0.36 % SZS output start CNFRefutation
% See solution above
% 0.11/0.36
% 0.11/0.36 %**** End of derivation protocol ****
% 0.11/0.36 %**** no. of clauses in derivation: 30 ****
% 0.11/0.36 %**** clause counter: 29 ****
% 0.11/0.36
% 0.11/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:4,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:29,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------