TSTP Solution File: LAT348+3 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT348+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n004.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 : Sun Jul 17 04:47:35 EDT 2022
% Result : Theorem 1.17s 3.35s
% Output : CNFRefutation 1.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of formulae : 73 ( 26 unt; 0 def)
% Number of atoms : 379 ( 11 equ)
% Maximal formula atoms : 70 ( 5 avg)
% Number of connectives : 527 ( 221 ~; 205 |; 87 &)
% ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 49 ( 2 sgn 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t6_waybel22,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
& v4_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v7_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v4_waybel_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& m1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t6_waybel22) ).
fof(t8_waybel13,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v1_yellow_0(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k2_yellow_1(k8_waybel_0(X1)))
& v4_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v7_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v4_waybel_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& m1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+509.ax',t8_waybel13) ).
fof(t4_yellow_1,axiom,
! [X1] : k3_yellow_1(X1) = k2_yellow_1(k1_zfmisc_1(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+483.ax',t4_yellow_1) ).
fof(fc10_yellow_7,axiom,
! [X1] :
( ( v2_yellow_0(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v1_yellow_0(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+495.ax',fc10_yellow_7) ).
fof(t7_waybel16,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& l1_orders_2(X1) )
=> k9_waybel_0(X1) = k8_waybel_0(k7_lattice3(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+537.ax',t7_waybel16) ).
fof(t12_yellow_6,axiom,
! [X1] :
( l1_orders_2(X1)
=> u1_struct_0(X1) = u1_struct_0(k7_lattice3(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+493.ax',t12_yellow_6) ).
fof(fc5_yellow_7,axiom,
! [X1] :
( ( v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v1_lattice3(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+495.ax',fc5_yellow_7) ).
fof(fc3_yellow_7,axiom,
! [X1] :
( ( v4_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v4_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+495.ax',fc3_yellow_7) ).
fof(fc2_yellow_7,axiom,
! [X1] :
( ( v3_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v3_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+495.ax',fc2_yellow_7) ).
fof(fc1_yellow_7,axiom,
! [X1] :
( ( v2_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v2_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+495.ax',fc1_yellow_7) ).
fof(dt_k7_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_orders_2(k7_lattice3(X1))
& l1_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+335.ax',dt_k7_lattice3) ).
fof(fc2_waybel16,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_lattice3(X1)
& v2_yellow_0(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+537.ax',fc2_waybel16) ).
fof(cc2_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+335.ax',cc2_lattice3) ).
fof(dt_k2_yellow_1,axiom,
! [X1] :
( v1_orders_2(k2_yellow_1(X1))
& l1_orders_2(k2_yellow_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+483.ax',dt_k2_yellow_1) ).
fof(c_0_14,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
& v4_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v7_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v4_waybel_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& m1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1))) ) ),
inference(assume_negation,[status(cth)],[t6_waybel22]) ).
fof(c_0_15,plain,
! [X2] :
( ( ~ v3_struct_0(k2_yellow_1(k8_waybel_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v1_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v4_yellow_0(k2_yellow_1(k8_waybel_0(X2)),k3_yellow_1(u1_struct_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v1_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v7_yellow_0(k2_yellow_1(k8_waybel_0(X2)),k3_yellow_1(u1_struct_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v1_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v4_waybel_0(k2_yellow_1(k8_waybel_0(X2)),k3_yellow_1(u1_struct_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v1_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( m1_yellow_0(k2_yellow_1(k8_waybel_0(X2)),k3_yellow_1(u1_struct_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v1_lattice3(X2)
| ~ v1_yellow_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)],[t8_waybel13])])])]) ).
fof(c_0_16,plain,
! [X2] : k3_yellow_1(X2) = k2_yellow_1(k1_zfmisc_1(X2)),
inference(variable_rename,[status(thm)],[t4_yellow_1]) ).
fof(c_0_17,plain,
! [X2] :
( ( v1_orders_2(k7_lattice3(X2))
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v1_yellow_0(k7_lattice3(X2))
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_yellow_7])])]) ).
fof(c_0_18,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_orders_2(esk1_0)
& v3_orders_2(esk1_0)
& v4_orders_2(esk1_0)
& v2_yellow_0(esk1_0)
& v2_lattice3(esk1_0)
& l1_orders_2(esk1_0)
& ( v3_struct_0(k2_yellow_1(k9_waybel_0(esk1_0)))
| ~ v4_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
| ~ v7_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
| ~ v4_waybel_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
| ~ m1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0))) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_14])])])]) ).
fof(c_0_19,plain,
! [X2] :
( v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ l1_orders_2(X2)
| k9_waybel_0(X2) = k8_waybel_0(k7_lattice3(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t7_waybel16])])]) ).
fof(c_0_20,plain,
! [X2] :
( ~ l1_orders_2(X2)
| u1_struct_0(X2) = u1_struct_0(k7_lattice3(X2)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_yellow_6])]) ).
fof(c_0_21,plain,
! [X2] :
( ( ~ v3_struct_0(k7_lattice3(X2))
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v1_orders_2(k7_lattice3(X2))
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v1_lattice3(k7_lattice3(X2))
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[fc5_yellow_7])])])]) ).
fof(c_0_22,plain,
! [X2] :
( ( v1_orders_2(k7_lattice3(X2))
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v4_orders_2(k7_lattice3(X2))
| ~ v4_orders_2(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_yellow_7])])]) ).
fof(c_0_23,plain,
! [X2] :
( ( v1_orders_2(k7_lattice3(X2))
| ~ v3_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v3_orders_2(k7_lattice3(X2))
| ~ v3_orders_2(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_yellow_7])])]) ).
fof(c_0_24,plain,
! [X2] :
( ( v1_orders_2(k7_lattice3(X2))
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) )
& ( v2_orders_2(k7_lattice3(X2))
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_yellow_7])])]) ).
fof(c_0_25,plain,
! [X2] :
( ( v1_orders_2(k7_lattice3(X2))
| ~ l1_orders_2(X2) )
& ( l1_orders_2(k7_lattice3(X2))
| ~ l1_orders_2(X2) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_lattice3])])]) ).
fof(c_0_26,plain,
! [X2] :
( ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v1_orders_2(k2_yellow_1(k9_waybel_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v2_orders_2(k2_yellow_1(k9_waybel_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v3_orders_2(k2_yellow_1(k9_waybel_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v4_orders_2(k2_yellow_1(k9_waybel_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v2_lattice3(k2_yellow_1(k9_waybel_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v3_lattice3(k2_yellow_1(k9_waybel_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v1_yellow_0(k2_yellow_1(k9_waybel_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v24_waybel_0(k2_yellow_1(k9_waybel_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v2_yellow_0(X2)
| ~ l1_orders_2(X2) )
& ( v25_waybel_0(k2_yellow_1(k9_waybel_0(X2)))
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_lattice3(X2)
| ~ v2_yellow_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)],[fc2_waybel16])])])]) ).
cnf(c_0_27,plain,
( m1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_28,plain,
k3_yellow_1(X1) = k2_yellow_1(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_29,plain,
( v1_yellow_0(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_30,negated_conjecture,
v2_yellow_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_31,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_32,plain,
( k9_waybel_0(X1) = k8_waybel_0(k7_lattice3(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_33,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_34,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_35,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_36,plain,
( u1_struct_0(X1) = u1_struct_0(k7_lattice3(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_37,plain,
( v1_lattice3(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_38,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_39,plain,
( v4_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v4_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_40,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_41,plain,
( v3_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v3_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_42,plain,
( v2_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_43,plain,
( l1_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_44,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_45,plain,
( v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_46,plain,
! [X2,X2] :
( v1_orders_2(k2_yellow_1(X2))
& l1_orders_2(k2_yellow_1(X2)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[dt_k2_yellow_1])])]) ).
cnf(c_0_47,plain,
( v4_waybel_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_48,plain,
( v7_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_49,plain,
( v4_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_50,negated_conjecture,
( v3_struct_0(k2_yellow_1(k9_waybel_0(esk1_0)))
| ~ m1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
| ~ v4_waybel_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
| ~ v7_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
| ~ v4_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_51,plain,
( m1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(X1))))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1) ),
inference(rw,[status(thm)],[c_0_27,c_0_28]) ).
cnf(c_0_52,negated_conjecture,
v1_yellow_0(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_29,c_0_30]),c_0_31])]) ).
cnf(c_0_53,negated_conjecture,
k8_waybel_0(k7_lattice3(esk1_0)) = k9_waybel_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_34]),c_0_31])]),c_0_35]) ).
cnf(c_0_54,negated_conjecture,
u1_struct_0(k7_lattice3(esk1_0)) = u1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_36,c_0_31]) ).
cnf(c_0_55,negated_conjecture,
v1_lattice3(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_38]),c_0_31])]) ).
cnf(c_0_56,negated_conjecture,
v4_orders_2(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_31])]) ).
cnf(c_0_57,negated_conjecture,
v3_orders_2(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_33]),c_0_31])]) ).
cnf(c_0_58,negated_conjecture,
v2_orders_2(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_34]),c_0_31])]) ).
cnf(c_0_59,negated_conjecture,
l1_orders_2(k7_lattice3(esk1_0)),
inference(spm,[status(thm)],[c_0_43,c_0_31]) ).
cnf(c_0_60,plain,
( ~ v3_struct_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_61,negated_conjecture,
v2_lattice3(k2_yellow_1(k9_waybel_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(spm,[status(thm)],[c_0_45,c_0_30]),c_0_38]),c_0_40]),c_0_33]),c_0_34]),c_0_31])]) ).
cnf(c_0_62,plain,
l1_orders_2(k2_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_63,plain,
( v4_waybel_0(k2_yellow_1(k8_waybel_0(X1)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(X1))))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1) ),
inference(rw,[status(thm)],[c_0_47,c_0_28]) ).
cnf(c_0_64,plain,
( v7_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(X1))))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1) ),
inference(rw,[status(thm)],[c_0_48,c_0_28]) ).
cnf(c_0_65,plain,
( v4_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(X1))))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1) ),
inference(rw,[status(thm)],[c_0_49,c_0_28]) ).
cnf(c_0_66,negated_conjecture,
( v3_struct_0(k2_yellow_1(k9_waybel_0(esk1_0)))
| ~ m1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
| ~ v4_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
| ~ v7_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
| ~ v4_waybel_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_28]),c_0_28]),c_0_28]),c_0_28]) ).
cnf(c_0_67,negated_conjecture,
m1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_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_51,c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59])]) ).
cnf(c_0_68,negated_conjecture,
~ v3_struct_0(k2_yellow_1(k9_waybel_0(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62])]) ).
cnf(c_0_69,negated_conjecture,
v4_waybel_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_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_63,c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59])]) ).
cnf(c_0_70,negated_conjecture,
v7_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_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_64,c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59])]) ).
cnf(c_0_71,negated_conjecture,
v4_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_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_65,c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59])]) ).
cnf(c_0_72,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_67])]),c_0_68]),c_0_69]),c_0_70]),c_0_71])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT348+3 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.13 % Command : run_ET %s %d
% 0.14/0.35 % Computer : n004.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jun 29 02:19:40 EDT 2022
% 0.14/0.35 % CPUTime :
% 1.17/3.35 # Running protocol protocol_eprover_2d86bd69119e7e9cc4417c0ee581499eaf828bb2 for 23 seconds:
% 1.17/3.35 # SinE strategy is GSinE(CountFormulas,,1.1,,02,500,1.0)
% 1.17/3.35 # Preprocessing time : 0.714 s
% 1.17/3.35
% 1.17/3.35 # Proof found!
% 1.17/3.35 # SZS status Theorem
% 1.17/3.35 # SZS output start CNFRefutation
% See solution above
% 1.17/3.35 # Proof object total steps : 73
% 1.17/3.35 # Proof object clause steps : 44
% 1.17/3.35 # Proof object formula steps : 29
% 1.17/3.35 # Proof object conjectures : 27
% 1.17/3.35 # Proof object clause conjectures : 24
% 1.17/3.35 # Proof object formula conjectures : 3
% 1.17/3.35 # Proof object initial clauses used : 24
% 1.17/3.35 # Proof object initial formulas used : 14
% 1.17/3.35 # Proof object generating inferences : 14
% 1.17/3.35 # Proof object simplifying inferences : 69
% 1.17/3.35 # Training examples: 0 positive, 0 negative
% 1.17/3.35 # Parsed axioms : 17788
% 1.17/3.35 # Removed by relevancy pruning/SinE : 17287
% 1.17/3.35 # Initial clauses : 1258
% 1.17/3.35 # Removed in clause preprocessing : 53
% 1.17/3.35 # Initial clauses in saturation : 1205
% 1.17/3.35 # Processed clauses : 1635
% 1.17/3.35 # ...of these trivial : 71
% 1.17/3.35 # ...subsumed : 131
% 1.17/3.35 # ...remaining for further processing : 1432
% 1.17/3.35 # Other redundant clauses eliminated : 29
% 1.17/3.35 # Clauses deleted for lack of memory : 0
% 1.17/3.35 # Backward-subsumed : 0
% 1.17/3.35 # Backward-rewritten : 10
% 1.17/3.35 # Generated clauses : 11183
% 1.17/3.35 # ...of the previous two non-trivial : 10331
% 1.17/3.35 # Contextual simplify-reflections : 253
% 1.17/3.35 # Paramodulations : 11125
% 1.17/3.35 # Factorizations : 12
% 1.17/3.35 # Equation resolutions : 49
% 1.17/3.35 # Current number of processed clauses : 1413
% 1.17/3.35 # Positive orientable unit clauses : 407
% 1.17/3.35 # Positive unorientable unit clauses: 6
% 1.17/3.35 # Negative unit clauses : 54
% 1.17/3.35 # Non-unit-clauses : 946
% 1.17/3.35 # Current number of unprocessed clauses: 9704
% 1.17/3.35 # ...number of literals in the above : 36030
% 1.17/3.35 # Current number of archived formulas : 0
% 1.17/3.35 # Current number of archived clauses : 14
% 1.17/3.35 # Clause-clause subsumption calls (NU) : 335020
% 1.17/3.35 # Rec. Clause-clause subsumption calls : 29574
% 1.17/3.35 # Non-unit clause-clause subsumptions : 348
% 1.17/3.35 # Unit Clause-clause subsumption calls : 50454
% 1.17/3.35 # Rewrite failures with RHS unbound : 0
% 1.17/3.35 # BW rewrite match attempts : 311
% 1.17/3.35 # BW rewrite match successes : 20
% 1.17/3.35 # Condensation attempts : 0
% 1.17/3.35 # Condensation successes : 0
% 1.17/3.35 # Termbank termtop insertions : 826355
% 1.17/3.35
% 1.17/3.35 # -------------------------------------------------
% 1.17/3.35 # User time : 0.950 s
% 1.17/3.35 # System time : 0.039 s
% 1.17/3.35 # Total time : 0.989 s
% 1.17/3.35 # Maximum resident set size: 55496 pages
% 1.17/24.33 eprover: CPU time limit exceeded, terminating
% 1.17/24.33 eprover: CPU time limit exceeded, terminating
% 1.17/24.34 eprover: CPU time limit exceeded, terminating
% 1.17/24.35 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.35 eprover: No such file or directory
% 1.17/24.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.36 eprover: No such file or directory
% 1.17/24.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.36 eprover: No such file or directory
% 1.17/24.36 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.17/24.36 eprover: No such file or directory
% 1.17/24.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.37 eprover: No such file or directory
% 1.17/24.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.37 eprover: No such file or directory
% 1.17/24.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.17/24.37 eprover: No such file or directory
% 1.17/24.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.37 eprover: No such file or directory
% 1.17/24.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.37 eprover: No such file or directory
% 1.17/24.37 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.37 eprover: No such file or directory
% 1.17/24.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.17/24.38 eprover: No such file or directory
% 1.17/24.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.38 eprover: No such file or directory
% 1.17/24.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.38 eprover: No such file or directory
% 1.17/24.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.17/24.38 eprover: No such file or directory
% 1.17/24.38 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.38 eprover: No such file or directory
% 1.17/24.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.17/24.39 eprover: No such file or directory
% 1.17/24.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.39 eprover: No such file or directory
% 1.17/24.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.39 eprover: No such file or directory
% 1.17/24.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.17/24.39 eprover: No such file or directory
% 1.17/24.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.39 eprover: No such file or directory
% 1.17/24.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.39 eprover: No such file or directory
% 1.17/24.39 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.17/24.39 eprover: No such file or directory
% 1.17/24.40 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.40 eprover: No such file or directory
% 1.17/24.40 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.40 eprover: No such file or directory
% 1.17/24.40 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.17/24.40 eprover: No such file or directory
% 1.17/24.40 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.17/24.40 eprover: No such file or directory
% 1.17/24.40 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.40 eprover: No such file or directory
% 1.17/24.40 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.40 eprover: No such file or directory
% 1.17/24.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.41 eprover: No such file or directory
% 1.17/24.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.17/24.41 eprover: No such file or directory
% 1.17/24.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.41 eprover: No such file or directory
% 1.17/24.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.17/24.41 eprover: No such file or directory
% 1.17/24.41 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.17/24.41 eprover: No such file or directory
%------------------------------------------------------------------------------