%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT351+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:05:04 PM UTC 2026
% Result : Theorem 0.39s 0.76s
% Output : CNFRefutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 66 ( 25 unt; 0 def)
% Number of atoms : 640 ( 19 equ)
% Maximal formula atoms : 112 ( 9 avg)
% Number of connectives : 941 ( 367 ~; 365 |; 194 &)
% ( 0 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 8 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 26 ( 24 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-1 aty)
% Number of variables : 82 ( 7 sgn 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fc1_waybel22,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1)
& v2_yellow_0(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X1)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_waybel22) ).
fof(cc2_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc2_lattice3) ).
fof(t17_waybel22,axiom,
! [X1] :
( ( 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) )
=> ! [X2] :
( ( 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) )
=> ! [X3,X4] :
( ( k1_card_1(X3) = k1_card_1(X4)
& r1_waybel22(X2,X4)
& r1_waybel22(X1,X3) )
=> r5_waybel_1(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_waybel22) ).
fof(t16_waybel22,axiom,
! [X1] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))),k1_waybel22(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_waybel22) ).
fof(t10_waybel22,axiom,
! [X1] : k1_card_1(k1_waybel22(X1)) = k1_card_1(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_waybel22) ).
fof(dt_k2_yellow_1,axiom,
! [X1] :
( l1_orders_2(k2_yellow_1(X1))
& v1_orders_2(k2_yellow_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_yellow_1) ).
fof(fc14_waybel_8,axiom,
! [X1] :
( v2_waybel_8(k3_yellow_1(X1))
& v1_waybel_8(k3_yellow_1(X1))
& v3_waybel_3(k3_yellow_1(X1))
& v2_waybel_3(k3_yellow_1(X1))
& v11_waybel_1(k3_yellow_1(X1))
& v10_waybel_1(k3_yellow_1(X1))
& v9_waybel_1(k3_yellow_1(X1))
& v2_waybel_1(k3_yellow_1(X1))
& v25_waybel_0(k3_yellow_1(X1))
& v24_waybel_0(k3_yellow_1(X1))
& v3_yellow_0(k3_yellow_1(X1))
& v2_yellow_0(k3_yellow_1(X1))
& v1_yellow_0(k3_yellow_1(X1))
& v3_lattice3(k3_yellow_1(X1))
& v2_lattice3(k3_yellow_1(X1))
& v1_lattice3(k3_yellow_1(X1))
& v4_orders_2(k3_yellow_1(X1))
& v3_orders_2(k3_yellow_1(X1))
& v2_orders_2(k3_yellow_1(X1))
& v1_orders_2(k3_yellow_1(X1))
& ~ v3_struct_0(k3_yellow_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc14_waybel_8) ).
fof(dt_k3_yellow_1,axiom,
! [X1] :
( l1_orders_2(k3_yellow_1(X1))
& v1_orders_2(k3_yellow_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_yellow_1) ).
fof(fc2_waybel16,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v2_yellow_0(X1)
& v2_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( v25_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_waybel16) ).
fof(t18_waybel22,conjecture,
! [X1,X2] :
( ( 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) )
=> ! [X3] :
( ( k1_card_1(X3) = k1_card_1(X1)
& r1_waybel22(X2,X3) )
=> r5_waybel_1(X2,k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_waybel22) ).
fof(c_0_10,plain,
! [X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1)
& v2_yellow_0(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( v3_waybel_3(k2_yellow_1(k9_waybel_0(X1)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v1_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v3_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v2_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[fc1_waybel22]) ).
fof(c_0_11,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v2_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc2_lattice3]) ).
fof(c_0_12,plain,
! [X153,X154,X155,X156] :
( r5_waybel_1(X153,X154)
| k1_card_1(X155) != k1_card_1(X156)
| ~ r1_waybel22(X154,X156)
| ~ r1_waybel22(X153,X155)
| ~ l1_orders_2(X154)
| ~ v3_waybel_3(X154)
| ~ v3_lattice3(X154)
| ~ v2_lattice3(X154)
| ~ v1_lattice3(X154)
| ~ v4_orders_2(X154)
| ~ v3_orders_2(X154)
| ~ v2_orders_2(X154)
| ~ l1_orders_2(X153)
| ~ v3_waybel_3(X153)
| ~ v3_lattice3(X153)
| ~ v2_lattice3(X153)
| ~ v1_lattice3(X153)
| ~ v4_orders_2(X153)
| ~ v3_orders_2(X153)
| ~ v2_orders_2(X153) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t17_waybel22])])])]) ).
fof(c_0_13,plain,
! [X152] : r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X152))),k1_waybel22(X152)),
inference(variable_rename,[status(thm)],[t16_waybel22]) ).
fof(c_0_14,plain,
! [X151] : k1_card_1(k1_waybel22(X151)) = k1_card_1(X151),
inference(variable_rename,[status(thm)],[t10_waybel22]) ).
fof(c_0_15,plain,
! [X52] :
( l1_orders_2(k2_yellow_1(X52))
& v1_orders_2(k2_yellow_1(X52)) ),
inference(variable_rename,[status(thm)],[dt_k2_yellow_1]) ).
fof(c_0_16,plain,
! [X88] :
( ( ~ l1_orders_2(X88)
| ~ v2_lattice3(X88)
| ~ v2_yellow_0(X88)
| ~ v4_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v2_orders_2(X88)
| v3_struct_0(X88)
| v3_waybel_3(k2_yellow_1(k9_waybel_0(X88))) )
& ( ~ l1_orders_2(X88)
| ~ v2_lattice3(X88)
| ~ v2_yellow_0(X88)
| ~ v4_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v2_orders_2(X88)
| v3_struct_0(X88)
| v3_lattice3(k2_yellow_1(k9_waybel_0(X88))) )
& ( ~ l1_orders_2(X88)
| ~ v2_lattice3(X88)
| ~ v2_yellow_0(X88)
| ~ v4_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v2_orders_2(X88)
| v3_struct_0(X88)
| v2_lattice3(k2_yellow_1(k9_waybel_0(X88))) )
& ( ~ l1_orders_2(X88)
| ~ v2_lattice3(X88)
| ~ v2_yellow_0(X88)
| ~ v4_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v2_orders_2(X88)
| v3_struct_0(X88)
| v1_lattice3(k2_yellow_1(k9_waybel_0(X88))) )
& ( ~ l1_orders_2(X88)
| ~ v2_lattice3(X88)
| ~ v2_yellow_0(X88)
| ~ v4_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v2_orders_2(X88)
| v3_struct_0(X88)
| v25_waybel_0(k2_yellow_1(k9_waybel_0(X88))) )
& ( ~ l1_orders_2(X88)
| ~ v2_lattice3(X88)
| ~ v2_yellow_0(X88)
| ~ v4_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v2_orders_2(X88)
| v3_struct_0(X88)
| v24_waybel_0(k2_yellow_1(k9_waybel_0(X88))) )
& ( ~ l1_orders_2(X88)
| ~ v2_lattice3(X88)
| ~ v2_yellow_0(X88)
| ~ v4_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v2_orders_2(X88)
| v3_struct_0(X88)
| v3_yellow_0(k2_yellow_1(k9_waybel_0(X88))) )
& ( ~ l1_orders_2(X88)
| ~ v2_lattice3(X88)
| ~ v2_yellow_0(X88)
| ~ v4_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v2_orders_2(X88)
| v3_struct_0(X88)
| v2_yellow_0(k2_yellow_1(k9_waybel_0(X88))) )
& ( ~ l1_orders_2(X88)
| ~ v2_lattice3(X88)
| ~ v2_yellow_0(X88)
| ~ v4_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v2_orders_2(X88)
| v3_struct_0(X88)
| v1_yellow_0(k2_yellow_1(k9_waybel_0(X88))) )
& ( ~ l1_orders_2(X88)
| ~ v2_lattice3(X88)
| ~ v2_yellow_0(X88)
| ~ v4_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v2_orders_2(X88)
| v3_struct_0(X88)
| v4_orders_2(k2_yellow_1(k9_waybel_0(X88))) )
& ( ~ l1_orders_2(X88)
| ~ v2_lattice3(X88)
| ~ v2_yellow_0(X88)
| ~ v4_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v2_orders_2(X88)
| v3_struct_0(X88)
| v3_orders_2(k2_yellow_1(k9_waybel_0(X88))) )
& ( ~ l1_orders_2(X88)
| ~ v2_lattice3(X88)
| ~ v2_yellow_0(X88)
| ~ v4_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v2_orders_2(X88)
| v3_struct_0(X88)
| v2_orders_2(k2_yellow_1(k9_waybel_0(X88))) )
& ( ~ l1_orders_2(X88)
| ~ v2_lattice3(X88)
| ~ v2_yellow_0(X88)
| ~ v4_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v2_orders_2(X88)
| v3_struct_0(X88)
| v1_orders_2(k2_yellow_1(k9_waybel_0(X88))) )
& ( ~ l1_orders_2(X88)
| ~ v2_lattice3(X88)
| ~ v2_yellow_0(X88)
| ~ v4_orders_2(X88)
| ~ v3_orders_2(X88)
| ~ v2_orders_2(X88)
| v3_struct_0(X88)
| ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X88))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
fof(c_0_17,plain,
! [X29] :
( ~ v3_struct_0(X29)
| ~ v2_lattice3(X29)
| ~ l1_orders_2(X29) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
fof(c_0_18,plain,
! [X1] :
( v2_waybel_8(k3_yellow_1(X1))
& v1_waybel_8(k3_yellow_1(X1))
& v3_waybel_3(k3_yellow_1(X1))
& v2_waybel_3(k3_yellow_1(X1))
& v11_waybel_1(k3_yellow_1(X1))
& v10_waybel_1(k3_yellow_1(X1))
& v9_waybel_1(k3_yellow_1(X1))
& v2_waybel_1(k3_yellow_1(X1))
& v25_waybel_0(k3_yellow_1(X1))
& v24_waybel_0(k3_yellow_1(X1))
& v3_yellow_0(k3_yellow_1(X1))
& v2_yellow_0(k3_yellow_1(X1))
& v1_yellow_0(k3_yellow_1(X1))
& v3_lattice3(k3_yellow_1(X1))
& v2_lattice3(k3_yellow_1(X1))
& v1_lattice3(k3_yellow_1(X1))
& v4_orders_2(k3_yellow_1(X1))
& v3_orders_2(k3_yellow_1(X1))
& v2_orders_2(k3_yellow_1(X1))
& v1_orders_2(k3_yellow_1(X1))
& ~ v3_struct_0(k3_yellow_1(X1)) ),
inference(fof_simplification,[status(thm)],[fc14_waybel_8]) ).
cnf(c_0_19,plain,
( 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)
| r5_waybel_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_20,plain,
r1_waybel22(k2_yellow_1(k9_waybel_0(k3_yellow_1(X1))),k1_waybel22(X1)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
k1_card_1(k1_waybel22(X1)) = k1_card_1(X1),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,plain,
l1_orders_2(k2_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_23,plain,
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| v3_waybel_3(k2_yellow_1(k9_waybel_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( ~ v3_struct_0(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_25,plain,
! [X82] :
( v2_waybel_8(k3_yellow_1(X82))
& v1_waybel_8(k3_yellow_1(X82))
& v3_waybel_3(k3_yellow_1(X82))
& v2_waybel_3(k3_yellow_1(X82))
& v11_waybel_1(k3_yellow_1(X82))
& v10_waybel_1(k3_yellow_1(X82))
& v9_waybel_1(k3_yellow_1(X82))
& v2_waybel_1(k3_yellow_1(X82))
& v25_waybel_0(k3_yellow_1(X82))
& v24_waybel_0(k3_yellow_1(X82))
& v3_yellow_0(k3_yellow_1(X82))
& v2_yellow_0(k3_yellow_1(X82))
& v1_yellow_0(k3_yellow_1(X82))
& v3_lattice3(k3_yellow_1(X82))
& v2_lattice3(k3_yellow_1(X82))
& v1_lattice3(k3_yellow_1(X82))
& v4_orders_2(k3_yellow_1(X82))
& v3_orders_2(k3_yellow_1(X82))
& v2_orders_2(k3_yellow_1(X82))
& v1_orders_2(k3_yellow_1(X82))
& ~ v3_struct_0(k3_yellow_1(X82)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_18])]) ).
fof(c_0_26,plain,
! [X53] :
( l1_orders_2(k3_yellow_1(X53))
& v1_orders_2(k3_yellow_1(X53)) ),
inference(variable_rename,[status(thm)],[dt_k3_yellow_1]) ).
fof(c_0_27,plain,
! [X1] :
( ( l1_orders_2(X1)
& v2_yellow_0(X1)
& v2_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( v25_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[fc2_waybel16]) ).
cnf(c_0_28,plain,
( ~ v2_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v4_orders_2(X1)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v1_lattice3(X1)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_lattice3(X1)
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_lattice3(X1)
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_waybel_3(X1)
| ~ v3_waybel_3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ l1_orders_2(X1)
| ~ r1_waybel22(X1,X3)
| k1_card_1(X3) != k1_card_1(X2)
| r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_19,c_0_20]),c_0_21]),c_0_22])]) ).
cnf(c_0_29,plain,
( ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1)
| v3_waybel_3(k2_yellow_1(k9_waybel_0(X1))) ),
inference(csr,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_30,plain,
v2_yellow_0(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,plain,
l1_orders_2(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_32,plain,
v2_lattice3(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,plain,
v4_orders_2(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,plain,
v3_orders_2(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,plain,
v2_orders_2(k3_yellow_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
fof(c_0_36,plain,
! [X93] :
( ( ~ l1_orders_2(X93)
| ~ v2_yellow_0(X93)
| ~ v2_lattice3(X93)
| ~ v4_orders_2(X93)
| ~ v3_orders_2(X93)
| ~ v2_orders_2(X93)
| v25_waybel_0(k2_yellow_1(k9_waybel_0(X93))) )
& ( ~ l1_orders_2(X93)
| ~ v2_yellow_0(X93)
| ~ v2_lattice3(X93)
| ~ v4_orders_2(X93)
| ~ v3_orders_2(X93)
| ~ v2_orders_2(X93)
| v24_waybel_0(k2_yellow_1(k9_waybel_0(X93))) )
& ( ~ l1_orders_2(X93)
| ~ v2_yellow_0(X93)
| ~ v2_lattice3(X93)
| ~ v4_orders_2(X93)
| ~ v3_orders_2(X93)
| ~ v2_orders_2(X93)
| v1_yellow_0(k2_yellow_1(k9_waybel_0(X93))) )
& ( ~ l1_orders_2(X93)
| ~ v2_yellow_0(X93)
| ~ v2_lattice3(X93)
| ~ v4_orders_2(X93)
| ~ v3_orders_2(X93)
| ~ v2_orders_2(X93)
| v3_lattice3(k2_yellow_1(k9_waybel_0(X93))) )
& ( ~ l1_orders_2(X93)
| ~ v2_yellow_0(X93)
| ~ v2_lattice3(X93)
| ~ v4_orders_2(X93)
| ~ v3_orders_2(X93)
| ~ v2_orders_2(X93)
| v2_lattice3(k2_yellow_1(k9_waybel_0(X93))) )
& ( ~ l1_orders_2(X93)
| ~ v2_yellow_0(X93)
| ~ v2_lattice3(X93)
| ~ v4_orders_2(X93)
| ~ v3_orders_2(X93)
| ~ v2_orders_2(X93)
| v4_orders_2(k2_yellow_1(k9_waybel_0(X93))) )
& ( ~ l1_orders_2(X93)
| ~ v2_yellow_0(X93)
| ~ v2_lattice3(X93)
| ~ v4_orders_2(X93)
| ~ v3_orders_2(X93)
| ~ v2_orders_2(X93)
| v3_orders_2(k2_yellow_1(k9_waybel_0(X93))) )
& ( ~ l1_orders_2(X93)
| ~ v2_yellow_0(X93)
| ~ v2_lattice3(X93)
| ~ v4_orders_2(X93)
| ~ v3_orders_2(X93)
| ~ v2_orders_2(X93)
| v2_orders_2(k2_yellow_1(k9_waybel_0(X93))) )
& ( ~ l1_orders_2(X93)
| ~ v2_yellow_0(X93)
| ~ v2_lattice3(X93)
| ~ v4_orders_2(X93)
| ~ v3_orders_2(X93)
| ~ v2_orders_2(X93)
| v1_orders_2(k2_yellow_1(k9_waybel_0(X93))) )
& ( ~ l1_orders_2(X93)
| ~ v2_yellow_0(X93)
| ~ v2_lattice3(X93)
| ~ v4_orders_2(X93)
| ~ v3_orders_2(X93)
| ~ v2_orders_2(X93)
| ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X93))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])]) ).
cnf(c_0_37,plain,
( ~ v2_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v4_orders_2(X1)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v1_lattice3(X1)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_lattice3(X1)
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_lattice3(X1)
| ~ v3_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_waybel_3(X1)
| ~ l1_orders_2(X1)
| ~ r1_waybel22(X1,X3)
| k1_card_1(X3) != k1_card_1(X2)
| r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))) ),
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_28,c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_38,plain,
( ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_lattice3(k2_yellow_1(k9_waybel_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_39,plain,
( ~ v2_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v4_orders_2(X1)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v1_lattice3(X1)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_lattice3(X1)
| ~ v2_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_lattice3(X1)
| ~ v3_waybel_3(X1)
| ~ l1_orders_2(X1)
| ~ r1_waybel22(X1,X3)
| k1_card_1(X3) != k1_card_1(X2)
| r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))) ),
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_37,c_0_38]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_40,plain,
( ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v2_lattice3(k2_yellow_1(k9_waybel_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_41,plain,
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_struct_0(X1)
| v1_lattice3(k2_yellow_1(k9_waybel_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_42,plain,
( ~ v2_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v4_orders_2(X1)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v1_lattice3(X1)
| ~ v1_lattice3(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ v3_waybel_3(X1)
| ~ l1_orders_2(X1)
| ~ r1_waybel22(X1,X3)
| k1_card_1(X3) != k1_card_1(X2)
| r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))) ),
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_39,c_0_40]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_43,plain,
( ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1)
| v1_lattice3(k2_yellow_1(k9_waybel_0(X1))) ),
inference(csr,[status(thm)],[c_0_41,c_0_24]) ).
cnf(c_0_44,plain,
( ~ v2_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v4_orders_2(X1)
| ~ v4_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ v3_waybel_3(X1)
| ~ l1_orders_2(X1)
| ~ r1_waybel22(X1,X3)
| k1_card_1(X3) != k1_card_1(X2)
| r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))) ),
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_42,c_0_43]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_45,plain,
( ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v4_orders_2(k2_yellow_1(k9_waybel_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_46,plain,
( ~ v2_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v3_orders_2(X1)
| ~ v3_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ v3_waybel_3(X1)
| ~ l1_orders_2(X1)
| ~ r1_waybel22(X1,X3)
| k1_card_1(X3) != k1_card_1(X2)
| r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))) ),
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_44,c_0_45]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_47,plain,
( ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v3_orders_2(k2_yellow_1(k9_waybel_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_48,negated_conjecture,
~ ! [X1,X2] :
( ( 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) )
=> ! [X3] :
( ( k1_card_1(X3) = k1_card_1(X1)
& r1_waybel22(X2,X3) )
=> r5_waybel_1(X2,k2_yellow_1(k9_waybel_0(k3_yellow_1(X1)))) ) ),
inference(assume_negation,[status(cth)],[t18_waybel22]) ).
cnf(c_0_49,plain,
( ~ v2_orders_2(X1)
| ~ v2_orders_2(k2_yellow_1(k9_waybel_0(k3_yellow_1(X2))))
| ~ 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)
| ~ r1_waybel22(X1,X3)
| k1_card_1(X3) != k1_card_1(X2)
| r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))) ),
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_46,c_0_47]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_50,plain,
( ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1)
| ~ v2_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v2_orders_2(k2_yellow_1(k9_waybel_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
fof(c_0_51,negated_conjecture,
( ~ r5_waybel_1(esk2_0,k2_yellow_1(k9_waybel_0(k3_yellow_1(esk1_0))))
& k1_card_1(esk3_0) = k1_card_1(esk1_0)
& r1_waybel22(esk2_0,esk3_0)
& l1_orders_2(esk2_0)
& v3_waybel_3(esk2_0)
& v3_lattice3(esk2_0)
& v2_lattice3(esk2_0)
& v1_lattice3(esk2_0)
& v4_orders_2(esk2_0)
& v3_orders_2(esk2_0)
& v2_orders_2(esk2_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_48])])])]) ).
cnf(c_0_52,plain,
( ~ 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)
| ~ r1_waybel22(X1,X3)
| k1_card_1(X3) != k1_card_1(X2)
| r5_waybel_1(X1,k2_yellow_1(k9_waybel_0(k3_yellow_1(X2)))) ),
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_49,c_0_50]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35])]) ).
cnf(c_0_53,negated_conjecture,
r1_waybel22(esk2_0,esk3_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_54,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_55,negated_conjecture,
v3_waybel_3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_56,negated_conjecture,
v3_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_57,negated_conjecture,
v2_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_58,negated_conjecture,
v1_lattice3(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_59,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_60,negated_conjecture,
v3_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_61,negated_conjecture,
v2_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_62,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_51]) ).
cnf(c_0_63,negated_conjecture,
( k1_card_1(esk3_0) != k1_card_1(X1)
| r5_waybel_1(esk2_0,k2_yellow_1(k9_waybel_0(k3_yellow_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(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]),c_0_55]),c_0_56]),c_0_57]),c_0_58]),c_0_59]),c_0_60]),c_0_61])]) ).
cnf(c_0_64,negated_conjecture,
k1_card_1(esk3_0) = k1_card_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_51]) ).
cnf(c_0_65,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT351+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.45 % Computer : n002.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Sun Sep 20 23:48:47 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.52 Running first-order theorem proving
% 0.27/0.52 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.76 % Version: 3.5.1
% 0.39/0.76 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.39/0.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.76 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.39/0.76 % Starting new_bool_3 with 300s (1) cores
% 0.39/0.76 % Starting new_bool_1 with 300s (1) cores
% 0.39/0.76 % Starting sh5l with 300s (1) cores
% 0.39/0.76 % G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with pid 1985385 completed with status 0
% 0.39/0.76 % Result found by G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S
% 0.39/0.76 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.39/0.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.76 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.39/0.76 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.39/0.76 % No SInE strategy applied
% 0.39/0.76 % Search class: FGHSM-FSLM21-MFFFFFNN
% 0.39/0.76 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 0.39/0.76 % Starting SubtermCWHack with 136s (1) cores
% 0.39/0.76 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.39/0.76 % Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 0.39/0.76 % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.39/0.76 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.39/0.76 % G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with pid 1985396 completed with status 0
% 0.39/0.76 % Result found by G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN
% 0.39/0.76 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.39/0.76 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.39/0.76 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.39/0.76 % (lift_lambdas = 1, lambda_to_forall = 1,unroll_only_formulas = 1, sine = Auto)
% 0.39/0.76 % No SInE strategy applied
% 0.39/0.76 % Search class: FGHSM-FSLM21-MFFFFFNN
% 0.39/0.76 % Scheduled 10 strats onto 5 cores with 1500 seconds (1500 total)
% 0.39/0.76 % Starting SubtermCWHack with 136s (1) cores
% 0.39/0.76 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 151s (1) cores
% 0.39/0.76 % Starting G-E--_107_C45_F1_PI_AE_Q7_CS_SP_PS_S0Y with 136s (1) cores
% 0.39/0.76 % Starting G-E--_200_B02_F1_SE_CS_SP_PI_S2k with 136s (1) cores
% 0.39/0.76 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S04BN with 136s (1) cores
% 0.39/0.76 % Preprocessing time : 0.009 s
% 0.39/0.76
% 0.39/0.76 % Proof found!
% 0.39/0.76 % SZS status Theorem
% 0.39/0.76 % SZS output start CNFRefutation
% See solution above
% 0.39/0.76 % Parsed axioms : 121
% 0.39/0.76 % Removed by relevancy pruning/SinE : 0
% 0.39/0.76 % Initial clauses : 414
% 0.39/0.76 % Removed in clause preprocessing : 69
% 0.39/0.76 % Initial clauses in saturation : 345
% 0.39/0.76 % Processed clauses : 874
% 0.39/0.76 % ...of these trivial : 18
% 0.39/0.76 % ...subsumed : 158
% 0.39/0.76 % ...remaining for further processing : 698
% 0.39/0.76 % Other redundant clauses eliminated : 4
% 0.39/0.76 % Clauses deleted for lack of memory : 0
% 0.39/0.76 % Backward-subsumed : 38
% 0.39/0.76 % Backward-rewritten : 13
% 0.39/0.76 % Generated clauses : 1835
% 0.39/0.76 % ...of the previous two non-redundant : 1608
% 0.39/0.76 % ...aggressively subsumed : 0
% 0.39/0.76 % Contextual simplify-reflections : 20
% 0.39/0.76 % Paramodulations : 1812
% 0.39/0.76 % Factorizations : 4
% 0.39/0.76 % NegExts : 0
% 0.39/0.76 % Equation resolutions : 17
% 0.39/0.76 % Disequality decompositions : 0
% 0.39/0.76 % Total rewrite steps : 2568
% 0.39/0.76 % ...of those cached : 2369
% 0.39/0.76 % Propositional unsat checks : 0
% 0.39/0.76 % Propositional check models : 0
% 0.39/0.76 % Propositional check unsatisfiable : 0
% 0.39/0.76 % Propositional clauses : 0
% 0.39/0.76 % Propositional clauses after purity: 0
% 0.39/0.76 % Propositional unsat core size : 0
% 0.39/0.76 % Propositional preprocessing time : 0.000
% 0.39/0.76 % Propositional encoding time : 0.000
% 0.39/0.76 % Propositional solver time : 0.000
% 0.39/0.76 % Success case prop preproc time : 0.000
% 0.39/0.76 % Success case prop encoding time : 0.000
% 0.39/0.76 % Success case prop solver time : 0.000
% 0.39/0.76 % Current number of processed clauses : 644
% 0.39/0.76 % Positive orientable unit clauses : 260
% 0.39/0.76 % Positive unorientable unit clauses: 0
% 0.39/0.76 % Negative unit clauses : 37
% 0.39/0.76 % Non-unit-clauses : 347
% 0.39/0.76 % Current number of unprocessed clauses: 1013
% 0.39/0.76 % ...number of literals in the above : 3591
% 0.39/0.76 % Current number of archived formulas : 0
% 0.39/0.76 % Current number of archived clauses : 54
% 0.39/0.76 % Clause-clause subsumption calls (NU) : 56204
% 0.39/0.76 % Rec. Clause-clause subsumption calls : 8579
% 0.39/0.76 % Non-unit clause-clause subsumptions : 144
% 0.39/0.76 % Unit Clause-clause subsumption calls : 11299
% 0.39/0.76 % Rewrite failures with RHS unbound : 0
% 0.39/0.76 % BW rewrite match attempts : 106
% 0.39/0.76 % BW rewrite match successes : 10
% 0.39/0.76 % Condensation attempts : 0
% 0.39/0.76 % Condensation successes : 0
% 0.39/0.76 % Termbank termtop insertions : 61410
% 0.39/0.76 % Search garbage collected termcells : 3640
% 0.39/0.76
% 0.39/0.76 % -------------------------------------------------
% 0.39/0.76 % User time : 0.125 s
% 0.39/0.76 % System time : 0.011 s
% 0.39/0.76 % Total time : 0.137 s
% 0.39/0.76 % Maximum resident set size: 4548 pages
% 0.39/0.76
% 0.39/0.76 % -------------------------------------------------
% 0.39/0.76 % User time : 0.506 s
% 0.39/0.76 % System time : 0.047 s
% 0.39/0.76 % Total time : 0.554 s
% 0.39/0.76 % Maximum resident set size: 4864 pages
% 0.39/0.76 % E exiting
%------------------------------------------------------------------------------