TSTP Solution File: ANA007-2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : ANA007-2 : 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 : n006.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 19:10:22 EDT 2022
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 15
% Syntax : Number of formulae : 47 ( 27 unt; 9 typ; 0 def)
% Number of atoms : 138 ( 47 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 194 ( 23 ~; 22 |; 0 &; 149 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 43 ( 0 ^ 43 !; 0 ?; 43 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_1,type,
c_1: $i ).
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_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/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_44) ).
thf(2,axiom,
! [T_a: $i,V_c: $i] :
( ~ ( class_Ring__and__Field_Oordered__idom @ T_a )
| ( V_c
= ( c_times @ c_1 @ V_c @ T_a ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Ring__and__Field_Omult__cancel__right1_2) ).
thf(3,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_lessequals @ V_x @ V_x @ T_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oaxioms__1_0) ).
thf(4,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(5,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[4]) ).
thf(6,negated_conjecture,
class_Ring__and__Field_Oordered__idom @ t_b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
thf(7,negated_conjecture,
! [V_U: $i] :
~ ( c_lessequals @ ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @ ( c_times @ V_U @ ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ t_b ) @ t_b ) @ t_b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(8,plain,
$false = $false,
inference(unfold_def,[status(thm)],[5]) ).
thf(9,plain,
( ( ! [T: $i] :
( ~ ( class_Ring__and__Field_Oordered__idom @ T )
| ( class_Orderings_Oorder @ T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(10,plain,
( ( ! [T_a: $i,V_c: $i] :
( ~ ( class_Ring__and__Field_Oordered__idom @ T_a )
| ( V_c
= ( c_times @ c_1 @ V_c @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(11,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)],[3]) ).
thf(12,plain,
( ( class_Ring__and__Field_Oordered__idom @ t_b )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(13,plain,
( ( ! [V_U: $i] :
~ ( c_lessequals @ ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ 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)],[7]) ).
thf(14,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[8]) ).
thf(15,plain,
( ( ! [T_a: $i] :
( ~ ( class_Ring__and__Field_Oordered__idom @ T_a )
| ! [V_c: $i] :
( V_c
= ( c_times @ c_1 @ V_c @ T_a ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[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(extcnf_combined,[status(esa)],[11]) ).
thf(17,plain,
( ( ! [V_U: $i] :
~ ( c_lessequals @ ( c_HOL_Oabs @ ( v_f @ ( v_x @ V_U ) ) @ 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)],[13]) ).
thf(18,plain,
( ( class_Ring__and__Field_Oordered__idom @ t_b )
= $true ),
inference(copy,[status(thm)],[12]) ).
thf(19,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)],[16]) ).
thf(20,plain,
( ( ! [T_a: $i] :
( ~ ( class_Ring__and__Field_Oordered__idom @ T_a )
| ! [V_c: $i] :
( V_c
= ( c_times @ c_1 @ V_c @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[15]) ).
thf(21,plain,
( ( ! [T: $i] :
( ~ ( class_Ring__and__Field_Oordered__idom @ T )
| ( class_Orderings_Oorder @ T ) ) )
= $true ),
inference(copy,[status(thm)],[9]) ).
thf(22,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[14]) ).
thf(23,plain,
! [SV1: $i] :
( ( ~ ( c_lessequals @ ( c_HOL_Oabs @ ( v_f @ ( v_x @ SV1 ) ) @ 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)],[17]) ).
thf(24,plain,
! [SV2: $i] :
( ( ~ ( class_Orderings_Oorder @ SV2 )
| ! [SY6: $i] : ( c_lessequals @ SY6 @ SY6 @ SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[19]) ).
thf(25,plain,
! [SV3: $i] :
( ( ~ ( class_Ring__and__Field_Oordered__idom @ SV3 )
| ! [SY7: $i] :
( SY7
= ( c_times @ c_1 @ SY7 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[20]) ).
thf(26,plain,
! [SV4: $i] :
( ( ~ ( class_Ring__and__Field_Oordered__idom @ SV4 )
| ( class_Orderings_Oorder @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[21]) ).
thf(27,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[22]) ).
thf(28,plain,
! [SV1: $i] :
( ( c_lessequals @ ( c_HOL_Oabs @ ( v_f @ ( v_x @ SV1 ) ) @ 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)],[23]) ).
thf(29,plain,
! [SV2: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV2 ) )
= $true )
| ( ( ! [SY6: $i] : ( c_lessequals @ SY6 @ SY6 @ SV2 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[24]) ).
thf(30,plain,
! [SV3: $i] :
( ( ( ~ ( class_Ring__and__Field_Oordered__idom @ SV3 ) )
= $true )
| ( ( ! [SY7: $i] :
( SY7
= ( c_times @ c_1 @ SY7 @ SV3 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[25]) ).
thf(31,plain,
! [SV4: $i] :
( ( ( ~ ( class_Ring__and__Field_Oordered__idom @ SV4 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV4 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[26]) ).
thf(32,plain,
! [SV2: $i] :
( ( ( class_Orderings_Oorder @ SV2 )
= $false )
| ( ( ! [SY6: $i] : ( c_lessequals @ SY6 @ SY6 @ SV2 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[29]) ).
thf(33,plain,
! [SV3: $i] :
( ( ( class_Ring__and__Field_Oordered__idom @ SV3 )
= $false )
| ( ( ! [SY7: $i] :
( SY7
= ( c_times @ c_1 @ SY7 @ SV3 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[30]) ).
thf(34,plain,
! [SV4: $i] :
( ( ( class_Ring__and__Field_Oordered__idom @ SV4 )
= $false )
| ( ( class_Orderings_Oorder @ SV4 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[31]) ).
thf(35,plain,
! [SV2: $i,SV5: $i] :
( ( ( c_lessequals @ SV5 @ SV5 @ SV2 )
= $true )
| ( ( class_Orderings_Oorder @ SV2 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[32]) ).
thf(36,plain,
! [SV3: $i,SV6: $i] :
( ( ( SV6
= ( c_times @ c_1 @ SV6 @ SV3 ) )
= $true )
| ( ( class_Ring__and__Field_Oordered__idom @ SV3 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[33]) ).
thf(37,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[18,36,35,34,28,27]) ).
thf(38,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA007-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n006.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 : Fri Jul 8 06:49:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35
% 0.13/0.35 No.of.Axioms: 5
% 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:5,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:7,loop_count:0,foatp_calls:0,translation:fof_full).
% 0.13/0.38
% 0.13/0.38 ********************************
% 0.13/0.38 * All subproblems solved! *
% 0.13/0.38 ********************************
% 0.13/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,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:37,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.13/0.38
% 0.13/0.38 %**** Beginning of derivation protocol ****
% 0.13/0.38 % SZS output start CNFRefutation
% See solution above
% 0.13/0.38
% 0.13/0.38 %**** End of derivation protocol ****
% 0.13/0.38 %**** no. of clauses in derivation: 38 ****
% 0.13/0.38 %**** clause counter: 37 ****
% 0.13/0.38
% 0.13/0.38 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,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:37,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------