TSTP Solution File: LAT351+2 by ET---2.0
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%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : LAT351+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n008.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 04:47:38 EDT 2022
% Result : Theorem 1.87s 199.05s
% Output : CNFRefutation 1.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 62 ( 35 unt; 0 def)
% Number of atoms : 453 ( 15 equ)
% Maximal formula atoms : 112 ( 7 avg)
% Number of connectives : 638 ( 247 ~; 249 |; 131 &)
% ( 0 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-1 aty)
% Number of variables : 80 ( 29 sgn 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fc1_waybel22,axiom,
! [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)))
& 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)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v3_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)))
& v1_lattice3(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)))
& v3_waybel_3(k2_yellow_1(k9_waybel_0(X1))) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',fc1_waybel22) ).
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(fc1_waybel_1,axiom,
! [X1] :
( ~ v3_struct_0(k3_yellow_1(X1))
& v1_orders_2(k3_yellow_1(X1))
& v2_orders_2(k3_yellow_1(X1))
& v3_orders_2(k3_yellow_1(X1))
& v4_orders_2(k3_yellow_1(X1))
& v1_lattice3(k3_yellow_1(X1))
& v2_lattice3(k3_yellow_1(X1))
& v3_lattice3(k3_yellow_1(X1))
& v1_yellow_0(k3_yellow_1(X1))
& v2_yellow_0(k3_yellow_1(X1))
& v3_yellow_0(k3_yellow_1(X1))
& v24_waybel_0(k3_yellow_1(X1))
& v25_waybel_0(k3_yellow_1(X1))
& v2_waybel_1(k3_yellow_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+485.ax',fc1_waybel_1) ).
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(t16_waybel22,axiom,
! [X1] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))),k1_waybel22(X1)),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t16_waybel22) ).
fof(fc5_yellow_1,axiom,
! [X1] :
( v1_orders_2(k2_yellow_1(X1))
& v2_orders_2(k2_yellow_1(X1))
& v3_orders_2(k2_yellow_1(X1))
& v4_orders_2(k2_yellow_1(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+483.ax',fc5_yellow_1) ).
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(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(t18_waybel22,conjecture,
! [X1,X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& v3_waybel_3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( r1_waybel22(X2,X3)
& k1_card_1(X3) = k1_card_1(X1) )
=> r5_waybel_1(X2,k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t18_waybel22) ).
fof(t17_waybel22,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& v3_waybel_3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& v3_waybel_3(X2)
& l1_orders_2(X2) )
=> ! [X3,X4] :
( ( r1_waybel22(X1,X3)
& r1_waybel22(X2,X4)
& k1_card_1(X3) = k1_card_1(X4) )
=> r5_waybel_1(X1,X2) ) ) ),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t17_waybel22) ).
fof(t10_waybel22,axiom,
! [X1] : k1_card_1(k1_waybel22(X1)) = k1_card_1(X1),
file('/export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p',t10_waybel22) ).
fof(c_0_11,plain,
! [X2] :
( ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v1_orders_2(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v2_orders_2(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v3_orders_2(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v4_orders_2(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v1_yellow_0(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v2_yellow_0(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v3_yellow_0(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v24_waybel_0(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v25_waybel_0(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v1_lattice3(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v2_lattice3(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v3_lattice3(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(X2)
| ~ v2_lattice3(X2)
| ~ l1_orders_2(X2) )
& ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X2)))
| v3_struct_0(X2)
| ~ v2_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v4_orders_2(X2)
| ~ v2_yellow_0(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)],[fc1_waybel22])])])]) ).
fof(c_0_12,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])])]) ).
fof(c_0_13,plain,
! [X2,X2,X2,X2,X2,X2,X2,X2,X2,X2,X2,X2,X2,X2] :
( ~ v3_struct_0(k3_yellow_1(X2))
& v1_orders_2(k3_yellow_1(X2))
& v2_orders_2(k3_yellow_1(X2))
& v3_orders_2(k3_yellow_1(X2))
& v4_orders_2(k3_yellow_1(X2))
& v1_lattice3(k3_yellow_1(X2))
& v2_lattice3(k3_yellow_1(X2))
& v3_lattice3(k3_yellow_1(X2))
& v1_yellow_0(k3_yellow_1(X2))
& v2_yellow_0(k3_yellow_1(X2))
& v3_yellow_0(k3_yellow_1(X2))
& v24_waybel_0(k3_yellow_1(X2))
& v25_waybel_0(k3_yellow_1(X2))
& v2_waybel_1(k3_yellow_1(X2)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_simplification,[status(thm)],[fc1_waybel_1])])])]) ).
fof(c_0_14,plain,
! [X2] : k3_yellow_1(X2) = k2_yellow_1(k1_zfmisc_1(X2)),
inference(variable_rename,[status(thm)],[t4_yellow_1]) ).
fof(c_0_15,plain,
! [X2] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))),k1_waybel22(X2)),
inference(variable_rename,[status(thm)],[t16_waybel22]) ).
cnf(c_0_16,plain,
( v3_struct_0(X1)
| v3_waybel_3(k2_yellow_1(k9_waybel_0(X1)))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_17,plain,
( ~ v3_struct_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,plain,
v2_yellow_0(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,plain,
k3_yellow_1(X1) = k2_yellow_1(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_20,plain,
v2_lattice3(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_21,plain,
! [X2,X2,X2,X2] :
( v1_orders_2(k2_yellow_1(X2))
& v2_orders_2(k2_yellow_1(X2))
& v3_orders_2(k2_yellow_1(X2))
& v4_orders_2(k2_yellow_1(X2)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[fc5_yellow_1])])]) ).
fof(c_0_22,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])])]) ).
fof(c_0_23,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_24,plain,
( v3_struct_0(X1)
| v1_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
fof(c_0_25,negated_conjecture,
~ ! [X1,X2] :
( ( v2_orders_2(X2)
& v3_orders_2(X2)
& v4_orders_2(X2)
& v1_lattice3(X2)
& v2_lattice3(X2)
& v3_lattice3(X2)
& v3_waybel_3(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( r1_waybel22(X2,X3)
& k1_card_1(X3) = k1_card_1(X1) )
=> r5_waybel_1(X2,k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))) ) ),
inference(assume_negation,[status(cth)],[t18_waybel22]) ).
fof(c_0_26,plain,
! [X5,X6,X7,X8] :
( ~ v2_orders_2(X5)
| ~ v3_orders_2(X5)
| ~ v4_orders_2(X5)
| ~ v1_lattice3(X5)
| ~ v2_lattice3(X5)
| ~ v3_lattice3(X5)
| ~ v3_waybel_3(X5)
| ~ l1_orders_2(X5)
| ~ v2_orders_2(X6)
| ~ v3_orders_2(X6)
| ~ v4_orders_2(X6)
| ~ v1_lattice3(X6)
| ~ v2_lattice3(X6)
| ~ v3_lattice3(X6)
| ~ v3_waybel_3(X6)
| ~ l1_orders_2(X6)
| ~ r1_waybel22(X5,X7)
| ~ r1_waybel22(X6,X8)
| k1_card_1(X7) != k1_card_1(X8)
| r5_waybel_1(X5,X6) ),
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)],[t17_waybel22])])])])]) ).
cnf(c_0_27,plain,
r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))),k1_waybel22(X1)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_28,plain,
! [X2] : k1_card_1(k1_waybel22(X2)) = k1_card_1(X2),
inference(variable_rename,[status(thm)],[t10_waybel22]) ).
cnf(c_0_29,plain,
( v3_waybel_3(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_yellow_0(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(csr,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_30,plain,
v2_yellow_0(k2_yellow_1(k1_zfmisc_1(X1))),
inference(rw,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_31,plain,
v2_lattice3(k2_yellow_1(k1_zfmisc_1(X1))),
inference(rw,[status(thm)],[c_0_20,c_0_19]) ).
cnf(c_0_32,plain,
v4_orders_2(k2_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_33,plain,
v3_orders_2(k2_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_34,plain,
v2_orders_2(k2_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_35,plain,
l1_orders_2(k2_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_36,plain,
( v3_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_23]) ).
cnf(c_0_37,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_23]) ).
cnf(c_0_38,plain,
( v1_lattice3(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_yellow_0(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(csr,[status(thm)],[c_0_24,c_0_17]) ).
fof(c_0_39,negated_conjecture,
( v2_orders_2(esk2_0)
& v3_orders_2(esk2_0)
& v4_orders_2(esk2_0)
& v1_lattice3(esk2_0)
& v2_lattice3(esk2_0)
& v3_lattice3(esk2_0)
& v3_waybel_3(esk2_0)
& l1_orders_2(esk2_0)
& r1_waybel22(esk2_0,esk3_0)
& k1_card_1(esk3_0) = k1_card_1(esk1_0)
& ~ r5_waybel_1(esk2_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_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_25])])])])]) ).
cnf(c_0_40,plain,
( r5_waybel_1(X1,X2)
| k1_card_1(X3) != k1_card_1(X4)
| ~ r1_waybel22(X2,X4)
| ~ r1_waybel22(X1,X3)
| ~ l1_orders_2(X2)
| ~ v3_waybel_3(X2)
| ~ v3_lattice3(X2)
| ~ v2_lattice3(X2)
| ~ v1_lattice3(X2)
| ~ v4_orders_2(X2)
| ~ v3_orders_2(X2)
| ~ v2_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_41,plain,
r1_waybel22(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1)))),k1_waybel22(X1)),
inference(rw,[status(thm)],[c_0_27,c_0_19]) ).
cnf(c_0_42,plain,
k1_card_1(k1_waybel22(X1)) = k1_card_1(X1),
inference(split_conjunct,[status(thm)],[c_0_28]) ).
cnf(c_0_43,plain,
v3_waybel_3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(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(pm,[status(thm)],[c_0_29,c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_44,plain,
v3_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(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(pm,[status(thm)],[c_0_36,c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_45,plain,
v2_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(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(pm,[status(thm)],[c_0_37,c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_46,plain,
v1_lattice3(k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(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(pm,[status(thm)],[c_0_38,c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_47,negated_conjecture,
~ r5_waybel_1(esk2_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0)))),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_48,plain,
( r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X2)))))
| k1_card_1(X3) != k1_card_1(X2)
| ~ r1_waybel22(X1,X3)
| ~ v3_waybel_3(X1)
| ~ v3_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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(pm,[status(thm)],[c_0_40,c_0_41]),c_0_42]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]),c_0_43]),c_0_44]),c_0_45]),c_0_46])]) ).
cnf(c_0_49,negated_conjecture,
r1_waybel22(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_50,negated_conjecture,
v3_waybel_3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_51,negated_conjecture,
v3_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_52,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_53,negated_conjecture,
v1_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_54,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_55,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_56,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_57,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_58,negated_conjecture,
~ r5_waybel_1(esk2_0,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(esk1_0))))),
inference(rw,[status(thm)],[c_0_47,c_0_19]) ).
cnf(c_0_59,negated_conjecture,
( r5_waybel_1(esk2_0,k2_yellow_1(k9_waybel_0(k2_yellow_1(k1_zfmisc_1(X1)))))
| k1_card_1(esk3_0) != k1_card_1(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(pm,[status(thm)],[c_0_48,c_0_49]),c_0_50]),c_0_51]),c_0_52]),c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57])]) ).
cnf(c_0_60,negated_conjecture,
k1_card_1(esk3_0) = k1_card_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_61,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(pm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT351+2 : TPTP v8.1.0. Released v3.4.0.
% 0.11/0.12 % Command : run_ET %s %d
% 0.12/0.33 % Computer : n008.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 : Tue Jun 28 20:50:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.83/23.89 eprover: CPU time limit exceeded, terminating
% 0.83/23.89 eprover: CPU time limit exceeded, terminating
% 0.83/23.90 eprover: CPU time limit exceeded, terminating
% 0.83/23.90 eprover: CPU time limit exceeded, terminating
% 0.97/46.91 eprover: CPU time limit exceeded, terminating
% 0.97/46.91 eprover: CPU time limit exceeded, terminating
% 0.97/46.91 eprover: CPU time limit exceeded, terminating
% 0.97/46.92 eprover: CPU time limit exceeded, terminating
% 1.10/69.93 eprover: CPU time limit exceeded, terminating
% 1.10/69.93 eprover: CPU time limit exceeded, terminating
% 1.10/69.93 eprover: CPU time limit exceeded, terminating
% 1.10/69.94 eprover: CPU time limit exceeded, terminating
% 1.24/92.95 eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 1.24/92.95
% 1.24/92.96 eprover: CPU time limit exceeded, terminating
% 1.24/92.96 eprover: CPU time limit exceeded, terminating
% 1.38/115.97 eprover: CPU time limit exceeded, terminating
% 1.38/115.98 eprover: CPU time limit exceeded, terminating
% 1.38/115.98 eprover: CPU time limit exceeded, terminating
% 1.38/115.98 eprover: CPU time limit exceeded, terminating
% 1.53/139.00 eprover: eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 1.53/139.00
% 1.53/139.00
% 1.53/139.00 eprover: CPU time limit exceeded, terminating
% 1.67/162.02 eprover: CPU time limit exceeded, terminating
% 1.67/162.03 eprover: CPU time limit exceeded, terminating
% 1.67/162.04 eprover: CPU time limit exceeded, terminating
% 1.67/162.04 eprover: CPU time limit exceeded, terminating
% 1.80/185.04 eprover: CPU time limit exceeded, terminating
% 1.80/185.05 eprover: CPU time limit exceeded, terminating
% 1.80/185.06 eprover: CPU time limit exceeded, terminating
% 1.80/185.08 eprover: CPU time limit exceeded, terminating
% 1.87/199.05 # Running protocol protocol_eprover_63dc1b1eb7d762c2f3686774d32795976f981b97 for 23 seconds:
% 1.87/199.05
% 1.87/199.05 # Failure: Resource limit exceeded (time)
% 1.87/199.05 # OLD status Res
% 1.87/199.05 # Preprocessing time : 1.581 s
% 1.87/199.05 # Running protocol protocol_eprover_f6eb5f7f05126ea361481ae651a4823314e3d740 for 23 seconds:
% 1.87/199.05
% 1.87/199.05 # Failure: Resource limit exceeded (time)
% 1.87/199.05 # OLD status Res
% 1.87/199.05 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,02,20000,1.0)
% 1.87/199.05 # Preprocessing time : 0.373 s
% 1.87/199.05 # Running protocol protocol_eprover_a172c605141d0894bf6fdc293a5220c6c2a32117 for 23 seconds:
% 1.87/199.05
% 1.87/199.05 # Failure: Resource limit exceeded (time)
% 1.87/199.05 # OLD status Res
% 1.87/199.05 # Preprocessing time : 1.587 s
% 1.87/199.05 # Running protocol protocol_eprover_f8b0f932169414d689b89e2a8b18d4600533b975 for 23 seconds:
% 1.87/199.05
% 1.87/199.05 # Failure: Resource limit exceeded (time)
% 1.87/199.05 # OLD status Res
% 1.87/199.05 # Preprocessing time : 1.432 s
% 1.87/199.05 # Running protocol protocol_eprover_fc511518e5f98a6b2c7baef820b71b6d1abb3e55 for 23 seconds:
% 1.87/199.05
% 1.87/199.05 # Failure: Resource limit exceeded (time)
% 1.87/199.05 # OLD status Res
% 1.87/199.05 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,02,80,1.0)
% 1.87/199.05 # Preprocessing time : 0.230 s
% 1.87/199.05 # Running protocol protocol_eprover_95b56b3f38545d2cfee43b45856d192a814b65d5 for 23 seconds:
% 1.87/199.05
% 1.87/199.05 # Failure: Resource limit exceeded (time)
% 1.87/199.05 # OLD status Res
% 1.87/199.05 # Preprocessing time : 1.510 s
% 1.87/199.05 # Running protocol protocol_eprover_6017f334107ca4679a9978dd19d7c76a8bd36e48 for 23 seconds:
% 1.87/199.05
% 1.87/199.05 # Failure: Resource limit exceeded (time)
% 1.87/199.05 # OLD status Res
% 1.87/199.05 # SinE strategy is GSinE(CountFormulas,,1.4,,02,20000,1.0)
% 1.87/199.05 # Preprocessing time : 0.327 s
% 1.87/199.05 # Running protocol protocol_eprover_29f46a864b4eba32a7d0333eeab34cc2a3bfeeb2 for 23 seconds:
% 1.87/199.05
% 1.87/199.05 # Failure: Resource limit exceeded (time)
% 1.87/199.05 # OLD status Res
% 1.87/199.05 # SinE strategy is GSinE(CountFormulas,hypos,1.1,,04,500,1.0)
% 1.87/199.05 # Preprocessing time : 0.272 s
% 1.87/199.05 # Running protocol protocol_eprover_6c6e328223588bd61ac14315e52cd57432d78a40 for 23 seconds:
% 1.87/199.05 # SinE strategy is GSinE(CountFormulas,hypos,1.2,,04,20000,1.0)
% 1.87/199.05 # Preprocessing time : 0.542 s
% 1.87/199.05
% 1.87/199.05 # Proof found!
% 1.87/199.05 # SZS status Theorem
% 1.87/199.05 # SZS output start CNFRefutation
% See solution above
% 1.87/199.05 # Proof object total steps : 62
% 1.87/199.05 # Proof object clause steps : 39
% 1.87/199.05 # Proof object formula steps : 23
% 1.87/199.05 # Proof object conjectures : 17
% 1.87/199.05 # Proof object clause conjectures : 14
% 1.87/199.05 # Proof object formula conjectures : 3
% 1.87/199.05 # Proof object initial clauses used : 26
% 1.87/199.05 # Proof object initial formulas used : 11
% 1.87/199.05 # Proof object generating inferences : 7
% 1.87/199.05 # Proof object simplifying inferences : 52
% 1.87/199.05 # Training examples: 0 positive, 0 negative
% 1.87/199.05 # Parsed axioms : 8976
% 1.87/199.05 # Removed by relevancy pruning/SinE : 7217
% 1.87/199.05 # Initial clauses : 4110
% 1.87/199.05 # Removed in clause preprocessing : 144
% 1.87/199.05 # Initial clauses in saturation : 3966
% 1.87/199.05 # Processed clauses : 26339
% 1.87/199.05 # ...of these trivial : 315
% 1.87/199.05 # ...subsumed : 13735
% 1.87/199.05 # ...remaining for further processing : 12289
% 1.87/199.05 # Other redundant clauses eliminated : 741
% 1.87/199.05 # Clauses deleted for lack of memory : 290102
% 1.87/199.05 # Backward-subsumed : 120
% 1.87/199.05 # Backward-rewritten : 438
% 1.87/199.05 # Generated clauses : 444749
% 1.87/199.05 # ...of the previous two non-trivial : 424960
% 1.87/199.05 # Contextual simplify-reflections : 3770
% 1.87/199.05 # Paramodulations : 443672
% 1.87/199.05 # Factorizations : 26
% 1.87/199.05 # Equation resolutions : 1059
% 1.87/199.05 # Current number of processed clauses : 11690
% 1.87/199.05 # Positive orientable unit clauses : 615
% 1.87/199.05 # Positive unorientable unit clauses: 5
% 1.87/199.05 # Negative unit clauses : 3254
% 1.87/199.05 # Non-unit-clauses : 7816
% 1.87/199.05 # Current number of unprocessed clauses: 94114
% 1.87/199.05 # ...number of literals in the above : 413025
% 1.87/199.05 # Current number of archived formulas : 0
% 1.87/199.05 # Current number of archived clauses : 570
% 1.87/199.05 # Clause-clause subsumption calls (NU) : 15611742
% 1.87/199.05 # Rec. Clause-clause subsumption calls : 3945671
% 1.87/199.05 # Non-unit clause-clause subsumptions : 7563
% 1.87/199.05 # Unit Clause-clause subsumption calls : 1638658
% 1.87/199.05 # Rewrite failures with RHS unbound : 25
% 1.87/199.05 # BW rewrite match attempts : 3105
% 1.87/199.05 # BW rewrite match successes : 448
% 1.87/199.05 # Condensation attempts : 0
% 1.87/199.05 # Condensation successes : 0
% 1.87/199.05 # Termbank termtop insertions : 7678988
% 1.87/199.05
% 1.87/199.05 # -------------------------------------------------
% 1.87/199.05 # User time : 13.274 s
% 1.87/199.05 # System time : 0.160 s
% 1.87/199.05 # Total time : 13.434 s
% 1.87/199.05 # Maximum resident set size: 189196 pages
% 1.87/208.07 eprover: CPU time limit exceeded, terminating
% 1.87/208.09 eprover: CPU time limit exceeded, terminating
% 1.87/208.10 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.87/208.10 eprover: No such file or directory
% 1.87/208.10 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.87/208.10 eprover: No such file or directory
% 1.87/208.10 eprover: CPU time limit exceeded, terminating
% 1.87/208.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p
% 1.87/208.11 eprover: No such file or directory
% 1.87/208.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.87/208.11 eprover: No such file or directory
% 1.87/208.11 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.87/208.11 eprover: No such file or directory
% 1.87/208.12 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.87/208.12 eprover: No such file or directory
% 1.87/208.12 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.87/208.12 eprover: No such file or directory
% 1.87/208.12 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.87/208.12 eprover: No such file or directory
% 1.87/208.13 eprover: Cannot stat file /export/starexec/sandbox2/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 1.87/208.13 eprover: No such file or directory
%------------------------------------------------------------------------------