TSTP Solution File: ANA023-10 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : ANA023-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n017.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 19:10:33 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 32
% Syntax : Number of formulae : 93 ( 76 unt; 17 typ; 0 def)
% Number of atoms : 196 ( 128 equ; 0 cnn)
% Maximal formula atoms : 1 ( 2 avg)
% Number of connectives : 720 ( 6 ~; 0 |; 0 &; 714 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 20 ( 17 usr; 6 con; 0-4 aty)
% Number of variables : 146 ( 0 ^ 146 !; 0 ?; 146 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_0,type,
c_0: $i ).
thf(tp_c_lessequals,type,
c_lessequals: $i > $i > $i > $i ).
thf(tp_c_minus,type,
c_minus: $i > $i > $i > $i ).
thf(tp_c_plus,type,
c_plus: $i > $i > $i > $i ).
thf(tp_class_OrderedGroup_Ocomm__monoid__add,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $i ).
thf(tp_class_OrderedGroup_Opordered__ab__group__add,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $i ).
thf(tp_class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $i ).
thf(tp_class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $i ).
thf(tp_class_Ring__and__Field_Oordered__idom,type,
class_Ring__and__Field_Oordered__idom: $i > $i ).
thf(tp_ifeq,type,
ifeq: $i > $i > $i > $i > $i ).
thf(tp_ifeq2,type,
ifeq2: $i > $i > $i > $i > $i ).
thf(tp_t_b,type,
t_b: $i ).
thf(tp_true,type,
true: $i ).
thf(tp_v_f,type,
v_f: $i > $i ).
thf(tp_v_g,type,
v_g: $i > $i ).
thf(tp_v_k,type,
v_k: $i > $i ).
thf(tp_v_x,type,
v_x: $i ).
thf(1,axiom,
! [T: $i] :
( ( ifeq @ ( class_Ring__and__Field_Oordered__idom @ T ) @ true @ ( class_OrderedGroup_Opordered__ab__group__add @ T ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
thf(2,axiom,
! [T: $i] :
( ( ifeq @ ( class_Ring__and__Field_Oordered__idom @ T ) @ true @ ( class_Orderings_Olinorder @ T ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_33) ).
thf(3,axiom,
! [T: $i] :
( ( ifeq @ ( class_Ring__and__Field_Oordered__idom @ T ) @ true @ ( class_OrderedGroup_Ocomm__monoid__add @ T ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_23) ).
thf(4,axiom,
! [T: $i] :
( ( ifeq @ ( class_Orderings_Olinorder @ T ) @ true @ ( class_Orderings_Oorder @ T ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Orderings_Olinorder_4) ).
thf(5,axiom,
! [T_a: $i,V_x: $i,V_y: $i,V_z: $i] :
( ( ifeq @ ( class_Orderings_Oorder @ T_a ) @ true @ ( ifeq @ ( c_lessequals @ V_x @ V_y @ T_a ) @ true @ ( ifeq @ ( c_lessequals @ V_y @ V_z @ T_a ) @ true @ ( c_lessequals @ V_x @ V_z @ T_a ) @ true ) @ true ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__class_Oorder__trans_0) ).
thf(6,axiom,
! [T_a: $i,V_a: $i,V_b: $i,V_c: $i] :
( ( ifeq @ ( class_OrderedGroup_Opordered__ab__group__add @ T_a ) @ true @ ( ifeq @ ( c_lessequals @ ( c_plus @ V_a @ V_b @ T_a ) @ V_c @ T_a ) @ true @ ( c_lessequals @ V_a @ ( c_minus @ V_c @ V_b @ T_a ) @ T_a ) @ true ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_1) ).
thf(7,axiom,
! [T_a: $i,V_a: $i,V_c: $i,V_b: $i] :
( ( ifeq @ ( class_OrderedGroup_Opordered__ab__group__add @ T_a ) @ true @ ( ifeq @ ( c_lessequals @ V_a @ ( c_minus @ V_c @ V_b @ T_a ) @ T_a ) @ true @ ( c_lessequals @ ( c_plus @ V_a @ V_b @ T_a ) @ V_c @ T_a ) @ true ) @ true )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__9_0) ).
thf(8,axiom,
! [T_a: $i,V_y: $i] :
( ( ifeq2 @ ( class_OrderedGroup_Ocomm__monoid__add @ T_a ) @ true @ ( c_plus @ c_0 @ V_y @ T_a ) @ V_y )
= V_y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocomm__monoid__add__class_Oaxioms_0) ).
thf(9,axiom,
! [A: $i,B: $i,C: $i] :
( ( ifeq @ A @ A @ B @ C )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom_001) ).
thf(10,axiom,
! [A: $i,B: $i,C: $i] :
( ( ifeq2 @ A @ A @ B @ C )
= B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
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,
( ( class_Ring__and__Field_Oordered__idom @ t_b )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
thf(14,negated_conjecture,
( c_lessequals @ c_0 @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b )
!= true,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(15,negated_conjecture,
( ( c_lessequals @ ( v_k @ v_x ) @ ( v_f @ v_x ) @ t_b )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(16,negated_conjecture,
( ( c_lessequals @ c_0 @ ( c_minus @ ( v_k @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b )
= true ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(17,plain,
$false = $false,
inference(unfold_def,[status(thm)],[12]) ).
thf(18,plain,
( ( ! [T: $i] :
( ( ifeq @ ( class_Ring__and__Field_Oordered__idom @ T ) @ true @ ( class_OrderedGroup_Opordered__ab__group__add @ T ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(19,plain,
( ( ! [T: $i] :
( ( ifeq @ ( class_Ring__and__Field_Oordered__idom @ T ) @ true @ ( class_Orderings_Olinorder @ T ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(20,plain,
( ( ! [T: $i] :
( ( ifeq @ ( class_Ring__and__Field_Oordered__idom @ T ) @ true @ ( class_OrderedGroup_Ocomm__monoid__add @ T ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(21,plain,
( ( ! [T: $i] :
( ( ifeq @ ( class_Orderings_Olinorder @ T ) @ true @ ( class_Orderings_Oorder @ T ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(22,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_z: $i] :
( ( ifeq @ ( class_Orderings_Oorder @ T_a ) @ true @ ( ifeq @ ( c_lessequals @ V_x @ V_y @ T_a ) @ true @ ( ifeq @ ( c_lessequals @ V_y @ V_z @ T_a ) @ true @ ( c_lessequals @ V_x @ V_z @ T_a ) @ true ) @ true ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(23,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i,V_c: $i] :
( ( ifeq @ ( class_OrderedGroup_Opordered__ab__group__add @ T_a ) @ true @ ( ifeq @ ( c_lessequals @ ( c_plus @ V_a @ V_b @ T_a ) @ V_c @ T_a ) @ true @ ( c_lessequals @ V_a @ ( c_minus @ V_c @ V_b @ T_a ) @ T_a ) @ true ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(24,plain,
( ( ! [T_a: $i,V_a: $i,V_c: $i,V_b: $i] :
( ( ifeq @ ( class_OrderedGroup_Opordered__ab__group__add @ T_a ) @ true @ ( ifeq @ ( c_lessequals @ V_a @ ( c_minus @ V_c @ V_b @ T_a ) @ T_a ) @ true @ ( c_lessequals @ ( c_plus @ V_a @ V_b @ T_a ) @ V_c @ T_a ) @ true ) @ true )
= true ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(25,plain,
( ( ! [T_a: $i,V_y: $i] :
( ( ifeq2 @ ( class_OrderedGroup_Ocomm__monoid__add @ T_a ) @ true @ ( c_plus @ c_0 @ V_y @ T_a ) @ V_y )
= V_y ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(26,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ifeq @ A @ A @ B @ C )
= B ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(27,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ifeq2 @ A @ A @ B @ C )
= B ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(28,plain,
( ( ( class_Ring__and__Field_Oordered__idom @ t_b )
= true )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(29,plain,
( ( ( ( c_lessequals @ c_0 @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b )
!= true ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(30,plain,
( ( ( c_lessequals @ ( v_k @ v_x ) @ ( v_f @ v_x ) @ t_b )
= true )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(31,plain,
( ( ( c_lessequals @ c_0 @ ( c_minus @ ( v_k @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b )
= true )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(32,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[17]) ).
thf(33,plain,
( ( ( ( c_lessequals @ c_0 @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b )
!= true ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(34,plain,
( ( ( c_lessequals @ c_0 @ ( c_minus @ ( v_k @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b )
= true )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(35,plain,
( ( ( c_lessequals @ ( v_k @ v_x ) @ ( v_f @ v_x ) @ t_b )
= true )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(36,plain,
( ( ( ( c_lessequals @ c_0 @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b )
!= true ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(37,plain,
( ( ( class_Ring__and__Field_Oordered__idom @ t_b )
= true )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(38,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ifeq2 @ A @ A @ B @ C )
= B ) )
= $true ),
inference(copy,[status(thm)],[27]) ).
thf(39,plain,
( ( ! [A: $i,B: $i,C: $i] :
( ( ifeq @ A @ A @ B @ C )
= B ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(40,plain,
( ( ! [T_a: $i,V_y: $i] :
( ( ifeq2 @ ( class_OrderedGroup_Ocomm__monoid__add @ T_a ) @ true @ ( c_plus @ c_0 @ V_y @ T_a ) @ V_y )
= V_y ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(41,plain,
( ( ! [T_a: $i,V_a: $i,V_c: $i,V_b: $i] :
( ( ifeq @ ( class_OrderedGroup_Opordered__ab__group__add @ T_a ) @ true @ ( ifeq @ ( c_lessequals @ V_a @ ( c_minus @ V_c @ V_b @ T_a ) @ T_a ) @ true @ ( c_lessequals @ ( c_plus @ V_a @ V_b @ T_a ) @ V_c @ T_a ) @ true ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(42,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i,V_c: $i] :
( ( ifeq @ ( class_OrderedGroup_Opordered__ab__group__add @ T_a ) @ true @ ( ifeq @ ( c_lessequals @ ( c_plus @ V_a @ V_b @ T_a ) @ V_c @ T_a ) @ true @ ( c_lessequals @ V_a @ ( c_minus @ V_c @ V_b @ T_a ) @ T_a ) @ true ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(43,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_z: $i] :
( ( ifeq @ ( class_Orderings_Oorder @ T_a ) @ true @ ( ifeq @ ( c_lessequals @ V_x @ V_y @ T_a ) @ true @ ( ifeq @ ( c_lessequals @ V_y @ V_z @ T_a ) @ true @ ( c_lessequals @ V_x @ V_z @ T_a ) @ true ) @ true ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(44,plain,
( ( ! [T: $i] :
( ( ifeq @ ( class_Orderings_Olinorder @ T ) @ true @ ( class_Orderings_Oorder @ T ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(45,plain,
( ( ! [T: $i] :
( ( ifeq @ ( class_Ring__and__Field_Oordered__idom @ T ) @ true @ ( class_OrderedGroup_Ocomm__monoid__add @ T ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(46,plain,
( ( ! [T: $i] :
( ( ifeq @ ( class_Ring__and__Field_Oordered__idom @ T ) @ true @ ( class_Orderings_Olinorder @ T ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(47,plain,
( ( ! [T: $i] :
( ( ifeq @ ( class_Ring__and__Field_Oordered__idom @ T ) @ true @ ( class_OrderedGroup_Opordered__ab__group__add @ T ) @ true )
= true ) )
= $true ),
inference(copy,[status(thm)],[18]) ).
thf(48,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(49,plain,
( ( ( c_lessequals @ c_0 @ ( c_minus @ ( v_f @ v_x ) @ ( v_g @ v_x ) @ t_b ) @ t_b )
= true )
= $false ),
inference(extcnf_not_pos,[status(thm)],[36]) ).
thf(50,plain,
! [SV1: $i] :
( ( ! [SY24: $i,SY25: $i] :
( ( ifeq2 @ SV1 @ SV1 @ SY24 @ SY25 )
= SY24 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(51,plain,
! [SV2: $i] :
( ( ! [SY26: $i,SY27: $i] :
( ( ifeq @ SV2 @ SV2 @ SY26 @ SY27 )
= SY26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[39]) ).
thf(52,plain,
! [SV3: $i] :
( ( ! [SY28: $i] :
( ( ifeq2 @ ( class_OrderedGroup_Ocomm__monoid__add @ SV3 ) @ true @ ( c_plus @ c_0 @ SY28 @ SV3 ) @ SY28 )
= SY28 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[40]) ).
thf(53,plain,
! [SV4: $i] :
( ( ! [SY29: $i,SY30: $i,SY31: $i] :
( ( ifeq @ ( class_OrderedGroup_Opordered__ab__group__add @ SV4 ) @ true @ ( ifeq @ ( c_lessequals @ SY29 @ ( c_minus @ SY30 @ SY31 @ SV4 ) @ SV4 ) @ true @ ( c_lessequals @ ( c_plus @ SY29 @ SY31 @ SV4 ) @ SY30 @ SV4 ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[41]) ).
thf(54,plain,
! [SV5: $i] :
( ( ! [SY32: $i,SY33: $i,SY34: $i] :
( ( ifeq @ ( class_OrderedGroup_Opordered__ab__group__add @ SV5 ) @ true @ ( ifeq @ ( c_lessequals @ ( c_plus @ SY32 @ SY33 @ SV5 ) @ SY34 @ SV5 ) @ true @ ( c_lessequals @ SY32 @ ( c_minus @ SY34 @ SY33 @ SV5 ) @ SV5 ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[42]) ).
thf(55,plain,
! [SV6: $i] :
( ( ! [SY35: $i,SY36: $i,SY37: $i] :
( ( ifeq @ ( class_Orderings_Oorder @ SV6 ) @ true @ ( ifeq @ ( c_lessequals @ SY35 @ SY36 @ SV6 ) @ true @ ( ifeq @ ( c_lessequals @ SY36 @ SY37 @ SV6 ) @ true @ ( c_lessequals @ SY35 @ SY37 @ SV6 ) @ true ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(56,plain,
! [SV7: $i] :
( ( ( ifeq @ ( class_Orderings_Olinorder @ SV7 ) @ true @ ( class_Orderings_Oorder @ SV7 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[44]) ).
thf(57,plain,
! [SV8: $i] :
( ( ( ifeq @ ( class_Ring__and__Field_Oordered__idom @ SV8 ) @ true @ ( class_OrderedGroup_Ocomm__monoid__add @ SV8 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[45]) ).
thf(58,plain,
! [SV9: $i] :
( ( ( ifeq @ ( class_Ring__and__Field_Oordered__idom @ SV9 ) @ true @ ( class_Orderings_Olinorder @ SV9 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[46]) ).
thf(59,plain,
! [SV10: $i] :
( ( ( ifeq @ ( class_Ring__and__Field_Oordered__idom @ SV10 ) @ true @ ( class_OrderedGroup_Opordered__ab__group__add @ SV10 ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[47]) ).
thf(60,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[48]) ).
thf(61,plain,
! [SV11: $i,SV1: $i] :
( ( ! [SY38: $i] :
( ( ifeq2 @ SV1 @ SV1 @ SV11 @ SY38 )
= SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[50]) ).
thf(62,plain,
! [SV12: $i,SV2: $i] :
( ( ! [SY39: $i] :
( ( ifeq @ SV2 @ SV2 @ SV12 @ SY39 )
= SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(63,plain,
! [SV13: $i,SV3: $i] :
( ( ( ifeq2 @ ( class_OrderedGroup_Ocomm__monoid__add @ SV3 ) @ true @ ( c_plus @ c_0 @ SV13 @ SV3 ) @ SV13 )
= SV13 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[52]) ).
thf(64,plain,
! [SV14: $i,SV4: $i] :
( ( ! [SY40: $i,SY41: $i] :
( ( ifeq @ ( class_OrderedGroup_Opordered__ab__group__add @ SV4 ) @ true @ ( ifeq @ ( c_lessequals @ SV14 @ ( c_minus @ SY40 @ SY41 @ SV4 ) @ SV4 ) @ true @ ( c_lessequals @ ( c_plus @ SV14 @ SY41 @ SV4 ) @ SY40 @ SV4 ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[53]) ).
thf(65,plain,
! [SV15: $i,SV5: $i] :
( ( ! [SY42: $i,SY43: $i] :
( ( ifeq @ ( class_OrderedGroup_Opordered__ab__group__add @ SV5 ) @ true @ ( ifeq @ ( c_lessequals @ ( c_plus @ SV15 @ SY42 @ SV5 ) @ SY43 @ SV5 ) @ true @ ( c_lessequals @ SV15 @ ( c_minus @ SY43 @ SY42 @ SV5 ) @ SV5 ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[54]) ).
thf(66,plain,
! [SV16: $i,SV6: $i] :
( ( ! [SY44: $i,SY45: $i] :
( ( ifeq @ ( class_Orderings_Oorder @ SV6 ) @ true @ ( ifeq @ ( c_lessequals @ SV16 @ SY44 @ SV6 ) @ true @ ( ifeq @ ( c_lessequals @ SY44 @ SY45 @ SV6 ) @ true @ ( c_lessequals @ SV16 @ SY45 @ SV6 ) @ true ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(67,plain,
! [SV17: $i,SV11: $i,SV1: $i] :
( ( ( ifeq2 @ SV1 @ SV1 @ SV11 @ SV17 )
= SV11 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(68,plain,
! [SV18: $i,SV12: $i,SV2: $i] :
( ( ( ifeq @ SV2 @ SV2 @ SV12 @ SV18 )
= SV12 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(69,plain,
! [SV19: $i,SV14: $i,SV4: $i] :
( ( ! [SY46: $i] :
( ( ifeq @ ( class_OrderedGroup_Opordered__ab__group__add @ SV4 ) @ true @ ( ifeq @ ( c_lessequals @ SV14 @ ( c_minus @ SV19 @ SY46 @ SV4 ) @ SV4 ) @ true @ ( c_lessequals @ ( c_plus @ SV14 @ SY46 @ SV4 ) @ SV19 @ SV4 ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(70,plain,
! [SV20: $i,SV15: $i,SV5: $i] :
( ( ! [SY47: $i] :
( ( ifeq @ ( class_OrderedGroup_Opordered__ab__group__add @ SV5 ) @ true @ ( ifeq @ ( c_lessequals @ ( c_plus @ SV15 @ SV20 @ SV5 ) @ SY47 @ SV5 ) @ true @ ( c_lessequals @ SV15 @ ( c_minus @ SY47 @ SV20 @ SV5 ) @ SV5 ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(71,plain,
! [SV21: $i,SV16: $i,SV6: $i] :
( ( ! [SY48: $i] :
( ( ifeq @ ( class_Orderings_Oorder @ SV6 ) @ true @ ( ifeq @ ( c_lessequals @ SV16 @ SV21 @ SV6 ) @ true @ ( ifeq @ ( c_lessequals @ SV21 @ SY48 @ SV6 ) @ true @ ( c_lessequals @ SV16 @ SY48 @ SV6 ) @ true ) @ true ) @ true )
= true ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(72,plain,
! [SV22: $i,SV19: $i,SV14: $i,SV4: $i] :
( ( ( ifeq @ ( class_OrderedGroup_Opordered__ab__group__add @ SV4 ) @ true @ ( ifeq @ ( c_lessequals @ SV14 @ ( c_minus @ SV19 @ SV22 @ SV4 ) @ SV4 ) @ true @ ( c_lessequals @ ( c_plus @ SV14 @ SV22 @ SV4 ) @ SV19 @ SV4 ) @ true ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(73,plain,
! [SV23: $i,SV20: $i,SV15: $i,SV5: $i] :
( ( ( ifeq @ ( class_OrderedGroup_Opordered__ab__group__add @ SV5 ) @ true @ ( ifeq @ ( c_lessequals @ ( c_plus @ SV15 @ SV20 @ SV5 ) @ SV23 @ SV5 ) @ true @ ( c_lessequals @ SV15 @ ( c_minus @ SV23 @ SV20 @ SV5 ) @ SV5 ) @ true ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(74,plain,
! [SV24: $i,SV21: $i,SV16: $i,SV6: $i] :
( ( ( ifeq @ ( class_Orderings_Oorder @ SV6 ) @ true @ ( ifeq @ ( c_lessequals @ SV16 @ SV21 @ SV6 ) @ true @ ( ifeq @ ( c_lessequals @ SV21 @ SV24 @ SV6 ) @ true @ ( c_lessequals @ SV16 @ SV24 @ SV6 ) @ true ) @ true ) @ true )
= true )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(75,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[34,74,73,72,68,67,63,60,59,58,57,56,49,37,35]) ).
thf(76,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA023-10 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.33 % Computer : n017.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Fri Jul 8 05:00:00 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.35
% 0.20/0.35 No.of.Axioms: 14
% 0.20/0.35
% 0.20/0.35 Length.of.Defs: 0
% 0.20/0.35
% 0.20/0.35 Contains.Choice.Funs: false
% 0.20/0.36 (rf:0,axioms:14,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:16,loop_count:0,foatp_calls:0,translation:fof_full)....
% 0.20/0.50
% 0.20/0.50 ********************************
% 0.20/0.50 * All subproblems solved! *
% 0.20/0.50 ********************************
% 0.20/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:14,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:75,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.50
% 0.20/0.50 %**** Beginning of derivation protocol ****
% 0.20/0.50 % SZS output start CNFRefutation
% See solution above
% 0.20/0.50
% 0.20/0.50 %**** End of derivation protocol ****
% 0.20/0.50 %**** no. of clauses in derivation: 76 ****
% 0.20/0.50 %**** clause counter: 75 ****
% 0.20/0.50
% 0.20/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:14,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:75,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------