TSTP Solution File: TOP047+1 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : TOP047+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% 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 : Thu Jul 21 21:25:35 EDT 2022
% Result : Theorem 0.25s 6.43s
% Output : CNFRefutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 74 ( 21 unt; 0 def)
% Number of atoms : 348 ( 62 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 437 ( 163 ~; 171 |; 76 &)
% ( 3 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 2 con; 0-2 aty)
% Number of variables : 100 ( 11 sgn 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',redefinition_m2_relset_1) ).
fof(dt_u1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> m2_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_u1_orders_2) ).
fof(free_g1_orders_2,axiom,
! [X1,X2] :
( m1_relset_1(X2,X1,X1)
=> ! [X3,X4] :
( g1_orders_2(X1,X2) = g1_orders_2(X3,X4)
=> ( X1 = X3
& X2 = X4 ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',free_g1_orders_2) ).
fof(t8_waybel33,conjecture,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v24_waybel_0(X2)
& v25_waybel_0(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) = g1_orders_2(u1_struct_0(X2),u1_orders_2(X2))
=> k14_yellow_6(X1,k3_waybel28(X1)) = k14_yellow_6(X2,k3_waybel28(X2)) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t8_waybel33) ).
fof(d27_yellow_6,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ! [X2] :
( m4_yellow_6(X2,X1)
=> ! [X3] :
( ( v1_pre_topc(X3)
& l1_pre_topc(X3) )
=> ( X3 = k14_yellow_6(X1,X2)
<=> ( u1_struct_0(X3) = u1_struct_0(X1)
& u1_pre_topc(X3) = a_2_1_yellow_6(X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d27_yellow_6) ).
fof(dt_k14_yellow_6,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1)
& m4_yellow_6(X2,X1) )
=> ( v1_pre_topc(k14_yellow_6(X1,X2))
& l1_pre_topc(k14_yellow_6(X1,X2)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k14_yellow_6) ).
fof(d10_xboole_0,axiom,
! [X1,X2] :
( X1 = X2
<=> ( r1_tarski(X1,X2)
& r1_tarski(X2,X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d10_xboole_0) ).
fof(l12_waybel33,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v24_waybel_0(X2)
& v25_waybel_0(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) = g1_orders_2(u1_struct_0(X2),u1_orders_2(X2))
=> r1_tarski(u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))),u1_pre_topc(k14_yellow_6(X2,k3_waybel28(X2)))) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l12_waybel33) ).
fof(abstractness_v1_pre_topc,axiom,
! [X1] :
( l1_pre_topc(X1)
=> ( v1_pre_topc(X1)
=> X1 = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',abstractness_v1_pre_topc) ).
fof(cc13_waybel_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& v25_waybel_0(X1) )
=> ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v4_orders_2(X1)
& v2_lattice3(X1) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc13_waybel_0) ).
fof(dt_l1_orders_2,axiom,
! [X1] :
( l1_orders_2(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_l1_orders_2) ).
fof(dt_k3_waybel28,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> m4_yellow_6(k3_waybel28(X1),X1) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k3_waybel28) ).
fof(cc2_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in',cc2_lattice3) ).
fof(c_0_13,plain,
! [X4,X5,X6,X4,X5,X6] :
( ( ~ m2_relset_1(X6,X4,X5)
| m1_relset_1(X6,X4,X5) )
& ( ~ m1_relset_1(X6,X4,X5)
| m2_relset_1(X6,X4,X5) ) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])])])]) ).
fof(c_0_14,plain,
! [X2] :
( ~ l1_orders_2(X2)
| m2_relset_1(u1_orders_2(X2),u1_struct_0(X2),u1_struct_0(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_u1_orders_2])]) ).
fof(c_0_15,plain,
! [X5,X6,X7,X8] :
( ( X5 = X7
| g1_orders_2(X5,X6) != g1_orders_2(X7,X8)
| ~ m1_relset_1(X6,X5,X5) )
& ( X6 = X8
| g1_orders_2(X5,X6) != g1_orders_2(X7,X8)
| ~ m1_relset_1(X6,X5,X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[free_g1_orders_2])])])])])]) ).
cnf(c_0_16,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_17,plain,
( m2_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
fof(c_0_18,negated_conjecture,
~ ! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v24_waybel_0(X1)
& v25_waybel_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v24_waybel_0(X2)
& v25_waybel_0(X2)
& v2_lattice3(X2)
& l1_orders_2(X2) )
=> ( g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) = g1_orders_2(u1_struct_0(X2),u1_orders_2(X2))
=> k14_yellow_6(X1,k3_waybel28(X1)) = k14_yellow_6(X2,k3_waybel28(X2)) ) ) ),
inference(assume_negation,[status(cth)],[t8_waybel33]) ).
cnf(c_0_19,plain,
( X2 = X3
| ~ m1_relset_1(X1,X2,X2)
| g1_orders_2(X2,X1) != g1_orders_2(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_20,plain,
( m1_relset_1(u1_orders_2(X1),u1_struct_0(X1),u1_struct_0(X1))
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
fof(c_0_21,negated_conjecture,
( v2_orders_2(esk1_0)
& v3_orders_2(esk1_0)
& v4_orders_2(esk1_0)
& v24_waybel_0(esk1_0)
& v25_waybel_0(esk1_0)
& v2_lattice3(esk1_0)
& l1_orders_2(esk1_0)
& v2_orders_2(esk2_0)
& v3_orders_2(esk2_0)
& v4_orders_2(esk2_0)
& v24_waybel_0(esk2_0)
& v25_waybel_0(esk2_0)
& v2_lattice3(esk2_0)
& l1_orders_2(esk2_0)
& g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk1_0)) = g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0))
& k14_yellow_6(esk1_0,k3_waybel28(esk1_0)) != k14_yellow_6(esk2_0,k3_waybel28(esk2_0)) ),
inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])])]) ).
cnf(c_0_22,plain,
( u1_struct_0(X1) = X2
| g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) != g1_orders_2(X2,X3)
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_23,negated_conjecture,
g1_orders_2(u1_struct_0(esk1_0),u1_orders_2(esk1_0)) = g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_24,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_25,negated_conjecture,
( u1_struct_0(esk1_0) = X1
| g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)) != g1_orders_2(X1,X2) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24])]) ).
cnf(c_0_26,plain,
( X1 = X4
| ~ m1_relset_1(X1,X2,X2)
| g1_orders_2(X2,X1) != g1_orders_2(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_27,negated_conjecture,
u1_struct_0(esk1_0) = u1_struct_0(esk2_0),
inference(er,[status(thm)],[c_0_25]) ).
fof(c_0_28,plain,
! [X4,X5,X6] :
( ( u1_struct_0(X6) = u1_struct_0(X4)
| X6 != k14_yellow_6(X4,X5)
| ~ v1_pre_topc(X6)
| ~ l1_pre_topc(X6)
| ~ m4_yellow_6(X5,X4)
| v3_struct_0(X4)
| ~ l1_struct_0(X4) )
& ( u1_pre_topc(X6) = a_2_1_yellow_6(X4,X5)
| X6 != k14_yellow_6(X4,X5)
| ~ v1_pre_topc(X6)
| ~ l1_pre_topc(X6)
| ~ m4_yellow_6(X5,X4)
| v3_struct_0(X4)
| ~ l1_struct_0(X4) )
& ( u1_struct_0(X6) != u1_struct_0(X4)
| u1_pre_topc(X6) != a_2_1_yellow_6(X4,X5)
| X6 = k14_yellow_6(X4,X5)
| ~ v1_pre_topc(X6)
| ~ l1_pre_topc(X6)
| ~ m4_yellow_6(X5,X4)
| v3_struct_0(X4)
| ~ l1_struct_0(X4) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[d27_yellow_6])])])])])])]) ).
fof(c_0_29,plain,
! [X3,X4] :
( ( v1_pre_topc(k14_yellow_6(X3,X4))
| v3_struct_0(X3)
| ~ l1_struct_0(X3)
| ~ m4_yellow_6(X4,X3) )
& ( l1_pre_topc(k14_yellow_6(X3,X4))
| v3_struct_0(X3)
| ~ l1_struct_0(X3)
| ~ m4_yellow_6(X4,X3) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k14_yellow_6])])])]) ).
fof(c_0_30,plain,
! [X3,X4,X3,X4] :
( ( r1_tarski(X3,X4)
| X3 != X4 )
& ( r1_tarski(X4,X3)
| X3 != X4 )
& ( ~ r1_tarski(X3,X4)
| ~ r1_tarski(X4,X3)
| X3 = X4 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d10_xboole_0])])])])]) ).
fof(c_0_31,plain,
! [X3,X4] :
( ~ v2_orders_2(X3)
| ~ v3_orders_2(X3)
| ~ v4_orders_2(X3)
| ~ v24_waybel_0(X3)
| ~ v25_waybel_0(X3)
| ~ v2_lattice3(X3)
| ~ l1_orders_2(X3)
| ~ v2_orders_2(X4)
| ~ v3_orders_2(X4)
| ~ v4_orders_2(X4)
| ~ v24_waybel_0(X4)
| ~ v25_waybel_0(X4)
| ~ v2_lattice3(X4)
| ~ l1_orders_2(X4)
| g1_orders_2(u1_struct_0(X3),u1_orders_2(X3)) != g1_orders_2(u1_struct_0(X4),u1_orders_2(X4))
| r1_tarski(u1_pre_topc(k14_yellow_6(X3,k3_waybel28(X3))),u1_pre_topc(k14_yellow_6(X4,k3_waybel28(X4)))) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l12_waybel33])])])])]) ).
cnf(c_0_32,plain,
( u1_orders_2(X1) = X2
| g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) != g1_orders_2(X3,X2)
| ~ l1_orders_2(X1) ),
inference(spm,[status(thm)],[c_0_26,c_0_20]) ).
cnf(c_0_33,negated_conjecture,
g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk1_0)) = g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)),
inference(rw,[status(thm)],[c_0_23,c_0_27]) ).
fof(c_0_34,plain,
! [X2] :
( ~ l1_pre_topc(X2)
| ~ v1_pre_topc(X2)
| X2 = g1_pre_topc(u1_struct_0(X2),u1_pre_topc(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[abstractness_v1_pre_topc])]) ).
cnf(c_0_35,plain,
( v3_struct_0(X1)
| u1_struct_0(X3) = u1_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ m4_yellow_6(X2,X1)
| ~ l1_pre_topc(X3)
| ~ v1_pre_topc(X3)
| X3 != k14_yellow_6(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_36,plain,
( v3_struct_0(X2)
| l1_pre_topc(k14_yellow_6(X2,X1))
| ~ m4_yellow_6(X1,X2)
| ~ l1_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_37,plain,
( v3_struct_0(X2)
| v1_pre_topc(k14_yellow_6(X2,X1))
| ~ m4_yellow_6(X1,X2)
| ~ l1_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_38,plain,
( X1 = X2
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_30]) ).
cnf(c_0_39,plain,
( r1_tarski(u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))),u1_pre_topc(k14_yellow_6(X2,k3_waybel28(X2))))
| g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) != g1_orders_2(u1_struct_0(X2),u1_orders_2(X2))
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v25_waybel_0(X2)
| ~ v24_waybel_0(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v25_waybel_0(X1)
| ~ v24_waybel_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_40,negated_conjecture,
( u1_orders_2(esk1_0) = X1
| g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0)) != g1_orders_2(X2,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_27]),c_0_33]),c_0_24])]) ).
cnf(c_0_41,plain,
( X1 = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| ~ v1_pre_topc(X1)
| ~ l1_pre_topc(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,plain,
( u1_struct_0(k14_yellow_6(X1,X2)) = u1_struct_0(X1)
| v3_struct_0(X1)
| ~ m4_yellow_6(X2,X1)
| ~ l1_struct_0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_35]),c_0_36]),c_0_37]) ).
cnf(c_0_43,plain,
( u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1))) = u1_pre_topc(k14_yellow_6(X2,k3_waybel28(X2)))
| g1_orders_2(u1_struct_0(X2),u1_orders_2(X2)) != g1_orders_2(u1_struct_0(X1),u1_orders_2(X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v2_lattice3(X1)
| ~ v2_lattice3(X2)
| ~ v25_waybel_0(X1)
| ~ v25_waybel_0(X2)
| ~ v24_waybel_0(X1)
| ~ v24_waybel_0(X2)
| ~ v4_orders_2(X1)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X1)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X1)
| ~ v2_orders_2(X2) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_39]) ).
cnf(c_0_44,negated_conjecture,
u1_orders_2(esk1_0) = u1_orders_2(esk2_0),
inference(er,[status(thm)],[c_0_40]) ).
cnf(c_0_45,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_46,negated_conjecture,
v25_waybel_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_47,negated_conjecture,
v24_waybel_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_48,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_49,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_50,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
fof(c_0_51,plain,
! [X2] :
( ( ~ v3_struct_0(X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v25_waybel_0(X2)
| ~ l1_orders_2(X2) )
& ( v2_orders_2(X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v25_waybel_0(X2)
| ~ l1_orders_2(X2) )
& ( v4_orders_2(X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v25_waybel_0(X2)
| ~ l1_orders_2(X2) )
& ( v2_lattice3(X2)
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v25_waybel_0(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc13_waybel_0])])])]) ).
fof(c_0_52,plain,
! [X2] :
( ~ l1_orders_2(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_orders_2])]) ).
fof(c_0_53,plain,
! [X2] :
( v3_struct_0(X2)
| ~ l1_orders_2(X2)
| m4_yellow_6(k3_waybel28(X2),X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_k3_waybel28])])]) ).
cnf(c_0_54,plain,
( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(k14_yellow_6(X1,X2))) = k14_yellow_6(X1,X2)
| v3_struct_0(X1)
| ~ m4_yellow_6(X2,X1)
| ~ l1_struct_0(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_36]),c_0_37]) ).
cnf(c_0_55,negated_conjecture,
( u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0))) = u1_pre_topc(k14_yellow_6(X1,k3_waybel28(X1)))
| g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) != g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v25_waybel_0(X1)
| ~ v24_waybel_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_27]),c_0_24]),c_0_45]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_56,plain,
( v3_struct_0(X1)
| v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v25_waybel_0(X1)
| ~ v4_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_57,plain,
( l1_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_52]) ).
cnf(c_0_58,plain,
( m4_yellow_6(k3_waybel28(X1),X1)
| v3_struct_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_59,negated_conjecture,
( g1_pre_topc(u1_struct_0(X1),u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0)))) = k14_yellow_6(X1,k3_waybel28(X1))
| v3_struct_0(X1)
| g1_orders_2(u1_struct_0(X1),u1_orders_2(X1)) != g1_orders_2(u1_struct_0(esk2_0),u1_orders_2(esk2_0))
| ~ l1_orders_2(X1)
| ~ v25_waybel_0(X1)
| ~ v24_waybel_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_56]),c_0_57]),c_0_58]) ).
fof(c_0_60,plain,
! [X2] :
( ~ l1_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v3_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[cc2_lattice3])])]) ).
cnf(c_0_61,negated_conjecture,
( g1_pre_topc(u1_struct_0(esk2_0),u1_pre_topc(k14_yellow_6(esk1_0,k3_waybel28(esk1_0)))) = k14_yellow_6(esk1_0,k3_waybel28(esk1_0))
| v3_struct_0(esk1_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_27]),c_0_44]),c_0_24]),c_0_46]),c_0_47]),c_0_48]),c_0_49]),c_0_50])]) ).
cnf(c_0_62,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_63,negated_conjecture,
v25_waybel_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_64,negated_conjecture,
v24_waybel_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_65,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_66,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_67,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_68,negated_conjecture,
k14_yellow_6(esk1_0,k3_waybel28(esk1_0)) != k14_yellow_6(esk2_0,k3_waybel28(esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_69,plain,
( ~ v3_struct_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_60]) ).
cnf(c_0_70,negated_conjecture,
( v3_struct_0(esk1_0)
| v3_struct_0(esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_61]),c_0_62]),c_0_63]),c_0_64]),c_0_65]),c_0_66]),c_0_67])]),c_0_68]) ).
cnf(c_0_71,negated_conjecture,
v3_struct_0(esk2_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_70]),c_0_24]),c_0_45])]) ).
cnf(c_0_72,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_73,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_69,c_0_71]),c_0_62]),c_0_72])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : TOP047+1 : TPTP v8.1.0. Released v3.4.0.
% 0.10/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun May 29 14:54:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.25/6.43 # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.25/6.43 # Preprocessing time : 0.023 s
% 0.25/6.43
% 0.25/6.43 # Proof found!
% 0.25/6.43 # SZS status Theorem
% 0.25/6.43 # SZS output start CNFRefutation
% See solution above
% 0.25/6.43 # Proof object total steps : 74
% 0.25/6.43 # Proof object clause steps : 47
% 0.25/6.43 # Proof object formula steps : 27
% 0.25/6.43 # Proof object conjectures : 30
% 0.25/6.43 # Proof object clause conjectures : 27
% 0.25/6.43 # Proof object formula conjectures : 3
% 0.25/6.43 # Proof object initial clauses used : 30
% 0.25/6.43 # Proof object initial formulas used : 13
% 0.25/6.43 # Proof object generating inferences : 16
% 0.25/6.43 # Proof object simplifying inferences : 45
% 0.25/6.43 # Training examples: 0 positive, 0 negative
% 0.25/6.43 # Parsed axioms : 102
% 0.25/6.43 # Removed by relevancy pruning/SinE : 0
% 0.25/6.43 # Initial clauses : 215
% 0.25/6.43 # Removed in clause preprocessing : 22
% 0.25/6.43 # Initial clauses in saturation : 193
% 0.25/6.43 # Processed clauses : 25892
% 0.25/6.43 # ...of these trivial : 334
% 0.25/6.43 # ...subsumed : 20936
% 0.25/6.43 # ...remaining for further processing : 4622
% 0.25/6.43 # Other redundant clauses eliminated : 119
% 0.25/6.43 # Clauses deleted for lack of memory : 62810
% 0.25/6.43 # Backward-subsumed : 125
% 0.25/6.43 # Backward-rewritten : 93
% 0.25/6.43 # Generated clauses : 193464
% 0.25/6.43 # ...of the previous two non-trivial : 181640
% 0.25/6.43 # Contextual simplify-reflections : 34914
% 0.25/6.43 # Paramodulations : 192855
% 0.25/6.43 # Factorizations : 272
% 0.25/6.43 # Equation resolutions : 234
% 0.25/6.43 # Current number of processed clauses : 4340
% 0.25/6.43 # Positive orientable unit clauses : 118
% 0.25/6.43 # Positive unorientable unit clauses: 1
% 0.25/6.43 # Negative unit clauses : 14
% 0.25/6.43 # Non-unit-clauses : 4207
% 0.25/6.43 # Current number of unprocessed clauses: 86214
% 0.25/6.43 # ...number of literals in the above : 704954
% 0.25/6.43 # Current number of archived formulas : 0
% 0.25/6.43 # Current number of archived clauses : 219
% 0.25/6.43 # Clause-clause subsumption calls (NU) : 9938433
% 0.25/6.43 # Rec. Clause-clause subsumption calls : 1949074
% 0.25/6.43 # Non-unit clause-clause subsumptions : 55209
% 0.25/6.43 # Unit Clause-clause subsumption calls : 20202
% 0.25/6.43 # Rewrite failures with RHS unbound : 0
% 0.25/6.43 # BW rewrite match attempts : 107
% 0.25/6.43 # BW rewrite match successes : 24
% 0.25/6.43 # Condensation attempts : 0
% 0.25/6.43 # Condensation successes : 0
% 0.25/6.43 # Termbank termtop insertions : 5523665
% 0.25/6.43
% 0.25/6.43 # -------------------------------------------------
% 0.25/6.43 # User time : 5.826 s
% 0.25/6.43 # System time : 0.107 s
% 0.25/6.43 # Total time : 5.933 s
% 0.25/6.43 # Maximum resident set size: 135004 pages
% 0.25/23.40 eprover: CPU time limit exceeded, terminating
% 0.25/23.42 eprover: CPU time limit exceeded, terminating
% 0.25/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.42 eprover: No such file or directory
% 0.25/23.42 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.42 eprover: No such file or directory
% 0.25/23.43 eprover: CPU time limit exceeded, terminating
% 0.25/23.43 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.43 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.44 Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.44 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.45 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.45 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.46 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.46 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.47 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.47 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.48 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.48 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.49 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.49 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.50 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.50 eprover: No such file or directory
% 0.25/23.51 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.51 eprover: No such file or directory
% 0.25/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.52 eprover: No such file or directory
% 0.25/23.52 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 0.25/23.52 eprover: No such file or directory
%------------------------------------------------------------------------------