%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT370+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n015.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 : 300s
% DateTime : Tue May 5 04:38:22 PM UTC 2026
% Result : Theorem 4.21s 3.32s
% Output : CNFRefutation 4.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 87 ( 34 unt; 0 def)
% Number of atoms : 933 ( 11 equ)
% Maximal formula atoms : 168 ( 10 avg)
% Number of connectives : 1406 ( 560 ~; 568 |; 236 &)
% ( 2 <=>; 40 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 35 ( 33 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-3 aty)
% Number of variables : 120 ( 0 sgn 76 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_lattice3) ).
fof(t43_waybel34,conjecture,
! [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] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( v1_waybel34(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2))
=> v4_waybel_0(k2_yellow_2(X1,X1,X2),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t43_waybel34) ).
fof(d17_waybel_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> k3_waybel_1(X1,X2,X3) = k7_grcat_1(k2_yellow_2(X1,X2,X3)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d17_waybel_1) ).
fof(dt_k3_waybel_1,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_funct_1(k3_waybel_1(X1,X2,X3))
& v1_funct_2(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
& m2_relset_1(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_waybel_1) ).
fof(redefinition_m2_relset_1,axiom,
! [X1,X2,X3] :
( m2_relset_1(X3,X1,X2)
<=> m1_relset_1(X3,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(dt_k2_yellow_2,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_orders_2(k2_yellow_2(X1,X2,X3))
& v4_yellow_0(k2_yellow_2(X1,X2,X3),X2)
& m1_yellow_0(k2_yellow_2(X1,X2,X3),X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_yellow_2) ).
fof(cc3_waybel_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
=> ( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1) )
=> ( v1_funct_1(X2)
& ~ v1_xboole_0(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_partfun1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v6_waybel_1(X2,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc3_waybel_1) ).
fof(fc10_waybel34,axiom,
! [X1,X2] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v6_waybel_1(X2,X1)
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( ~ v3_struct_0(k2_yellow_2(X1,X1,X2))
& v1_orders_2(k2_yellow_2(X1,X1,X2))
& v2_orders_2(k2_yellow_2(X1,X1,X2))
& v3_orders_2(k2_yellow_2(X1,X1,X2))
& v4_orders_2(k2_yellow_2(X1,X1,X2))
& v1_yellow_0(k2_yellow_2(X1,X1,X2))
& v2_yellow_0(k2_yellow_2(X1,X1,X2))
& v3_yellow_0(k2_yellow_2(X1,X1,X2))
& v4_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v24_waybel_0(k2_yellow_2(X1,X1,X2))
& v25_waybel_0(k2_yellow_2(X1,X1,X2))
& v1_lattice3(k2_yellow_2(X1,X1,X2))
& v2_lattice3(k2_yellow_2(X1,X1,X2))
& v3_lattice3(k2_yellow_2(X1,X1,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_waybel34) ).
fof(fc10_waybel10,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1)
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( ~ v3_struct_0(k2_yellow_2(X1,X1,X2))
& v1_orders_2(k2_yellow_2(X1,X1,X2))
& v2_orders_2(k2_yellow_2(X1,X1,X2))
& v3_orders_2(k2_yellow_2(X1,X1,X2))
& v4_orders_2(k2_yellow_2(X1,X1,X2))
& v4_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v5_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v7_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v3_waybel_0(k2_yellow_2(X1,X1,X2),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc10_waybel10) ).
fof(t39_waybel34,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( v18_waybel_0(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2))
& v17_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
& k2_waybel34(k2_yellow_2(X1,X1,X2),X1,k2_waybel_1(X1,X1,X2)) = k3_waybel_1(X1,X1,X2)
& k1_waybel34(k2_yellow_2(X1,X1,X2),X1,k3_waybel_1(X1,X1,X2)) = k2_waybel_1(X1,X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t39_waybel34) ).
fof(dt_m1_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( m1_yellow_0(X2,X1)
=> l1_orders_2(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_yellow_0) ).
fof(t40_waybel34,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( v4_waybel_0(k2_yellow_2(X1,X1,X2),X1)
<=> v22_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_waybel34) ).
fof(t25_waybel34,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(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] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& v17_waybel_0(X3,X1,X2)
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_waybel34(k1_waybel34(X1,X2,X3),X2,X1)
=> v22_waybel_0(X3,X1,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_waybel34) ).
fof(c_0_13,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattice3]) ).
fof(c_0_14,negated_conjecture,
~ ! [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] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( v1_waybel34(k2_waybel_1(X1,X1,X2),X1,k2_yellow_2(X1,X1,X2))
=> v4_waybel_0(k2_yellow_2(X1,X1,X2),X1) ) ) ),
inference(assume_negation,[status(cth)],[t43_waybel34]) ).
fof(c_0_15,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& l1_orders_2(X2) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> k3_waybel_1(X1,X2,X3) = k7_grcat_1(k2_yellow_2(X1,X2,X3)) ) ) ),
inference(fof_simplification,[status(thm)],[d17_waybel_1]) ).
fof(c_0_16,plain,
! [X298] :
( ~ l1_orders_2(X298)
| ~ v1_lattice3(X298)
| ~ v3_struct_0(X298) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])]) ).
fof(c_0_17,negated_conjecture,
( v2_orders_2(esk1_0)
& v3_orders_2(esk1_0)
& v4_orders_2(esk1_0)
& v1_lattice3(esk1_0)
& v2_lattice3(esk1_0)
& v3_lattice3(esk1_0)
& v3_waybel_3(esk1_0)
& l1_orders_2(esk1_0)
& v1_funct_1(esk2_0)
& v1_funct_2(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
& v7_waybel_1(esk2_0,esk1_0)
& m2_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0))
& v1_waybel34(k2_waybel_1(esk1_0,esk1_0,esk2_0),esk1_0,k2_yellow_2(esk1_0,esk1_0,esk2_0))
& ~ v4_waybel_0(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_18,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_funct_1(k3_waybel_1(X1,X2,X3))
& v1_funct_2(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
& m2_relset_1(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2)) ) ),
inference(fof_simplification,[status(thm)],[dt_k3_waybel_1]) ).
fof(c_0_19,plain,
! [X496,X497,X498] :
( ( ~ m2_relset_1(X498,X496,X497)
| m1_relset_1(X498,X496,X497) )
& ( ~ m1_relset_1(X498,X496,X497)
| m2_relset_1(X498,X496,X497) ) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_m2_relset_1])]) ).
fof(c_0_20,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ~ v3_struct_0(X2)
& l1_orders_2(X2)
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
& m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) )
=> ( v1_orders_2(k2_yellow_2(X1,X2,X3))
& v4_yellow_0(k2_yellow_2(X1,X2,X3),X2)
& m1_yellow_0(k2_yellow_2(X1,X2,X3),X2) ) ),
inference(fof_simplification,[status(thm)],[dt_k2_yellow_2]) ).
fof(c_0_21,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
=> ( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1) )
=> ( v1_funct_1(X2)
& ~ v1_xboole_0(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v1_partfun1(X2,u1_struct_0(X1),u1_struct_0(X1))
& v6_waybel_1(X2,X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[cc3_waybel_1]) ).
fof(c_0_22,plain,
! [X362,X363,X364] :
( v3_struct_0(X362)
| ~ l1_orders_2(X362)
| v3_struct_0(X363)
| ~ l1_orders_2(X363)
| ~ v1_funct_1(X364)
| ~ v1_funct_2(X364,u1_struct_0(X362),u1_struct_0(X363))
| ~ m2_relset_1(X364,u1_struct_0(X362),u1_struct_0(X363))
| k3_waybel_1(X362,X363,X364) = k7_grcat_1(k2_yellow_2(X362,X363,X364)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
cnf(c_0_23,plain,
( ~ l1_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_26,plain,
! [X379,X380,X381] :
( ( v1_funct_1(k3_waybel_1(X379,X380,X381))
| v3_struct_0(X379)
| ~ l1_orders_2(X379)
| v3_struct_0(X380)
| ~ l1_orders_2(X380)
| ~ v1_funct_1(X381)
| ~ v1_funct_2(X381,u1_struct_0(X379),u1_struct_0(X380))
| ~ m1_relset_1(X381,u1_struct_0(X379),u1_struct_0(X380)) )
& ( v1_funct_2(k3_waybel_1(X379,X380,X381),u1_struct_0(k2_yellow_2(X379,X380,X381)),u1_struct_0(X380))
| v3_struct_0(X379)
| ~ l1_orders_2(X379)
| v3_struct_0(X380)
| ~ l1_orders_2(X380)
| ~ v1_funct_1(X381)
| ~ v1_funct_2(X381,u1_struct_0(X379),u1_struct_0(X380))
| ~ m1_relset_1(X381,u1_struct_0(X379),u1_struct_0(X380)) )
& ( m2_relset_1(k3_waybel_1(X379,X380,X381),u1_struct_0(k2_yellow_2(X379,X380,X381)),u1_struct_0(X380))
| v3_struct_0(X379)
| ~ l1_orders_2(X379)
| v3_struct_0(X380)
| ~ l1_orders_2(X380)
| ~ v1_funct_1(X381)
| ~ v1_funct_2(X381,u1_struct_0(X379),u1_struct_0(X380))
| ~ m1_relset_1(X381,u1_struct_0(X379),u1_struct_0(X380)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])]) ).
cnf(c_0_27,plain,
( m1_relset_1(X1,X2,X3)
| ~ m2_relset_1(X1,X2,X3) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_28,negated_conjecture,
m2_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_29,plain,
! [X376,X377,X378] :
( ( v1_orders_2(k2_yellow_2(X376,X377,X378))
| v3_struct_0(X376)
| ~ l1_orders_2(X376)
| v3_struct_0(X377)
| ~ l1_orders_2(X377)
| ~ v1_funct_1(X378)
| ~ v1_funct_2(X378,u1_struct_0(X376),u1_struct_0(X377))
| ~ m1_relset_1(X378,u1_struct_0(X376),u1_struct_0(X377)) )
& ( v4_yellow_0(k2_yellow_2(X376,X377,X378),X377)
| v3_struct_0(X376)
| ~ l1_orders_2(X376)
| v3_struct_0(X377)
| ~ l1_orders_2(X377)
| ~ v1_funct_1(X378)
| ~ v1_funct_2(X378,u1_struct_0(X376),u1_struct_0(X377))
| ~ m1_relset_1(X378,u1_struct_0(X376),u1_struct_0(X377)) )
& ( m1_yellow_0(k2_yellow_2(X376,X377,X378),X377)
| v3_struct_0(X376)
| ~ l1_orders_2(X376)
| v3_struct_0(X377)
| ~ l1_orders_2(X377)
| ~ v1_funct_1(X378)
| ~ v1_funct_2(X378,u1_struct_0(X376),u1_struct_0(X377))
| ~ m1_relset_1(X378,u1_struct_0(X376),u1_struct_0(X377)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_30,plain,
! [X1,X2] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v2_lattice3(X1)
& v3_lattice3(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v6_waybel_1(X2,X1)
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( ~ v3_struct_0(k2_yellow_2(X1,X1,X2))
& v1_orders_2(k2_yellow_2(X1,X1,X2))
& v2_orders_2(k2_yellow_2(X1,X1,X2))
& v3_orders_2(k2_yellow_2(X1,X1,X2))
& v4_orders_2(k2_yellow_2(X1,X1,X2))
& v1_yellow_0(k2_yellow_2(X1,X1,X2))
& v2_yellow_0(k2_yellow_2(X1,X1,X2))
& v3_yellow_0(k2_yellow_2(X1,X1,X2))
& v4_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v24_waybel_0(k2_yellow_2(X1,X1,X2))
& v25_waybel_0(k2_yellow_2(X1,X1,X2))
& v1_lattice3(k2_yellow_2(X1,X1,X2))
& v2_lattice3(k2_yellow_2(X1,X1,X2))
& v3_lattice3(k2_yellow_2(X1,X1,X2)) ) ),
inference(fof_simplification,[status(thm)],[fc10_waybel34]) ).
fof(c_0_31,plain,
! [X331,X332] :
( ( v1_funct_1(X332)
| ~ v1_funct_1(X332)
| ~ v1_funct_2(X332,u1_struct_0(X331),u1_struct_0(X331))
| ~ v7_waybel_1(X332,X331)
| ~ m1_relset_1(X332,u1_struct_0(X331),u1_struct_0(X331))
| v3_struct_0(X331)
| ~ l1_orders_2(X331) )
& ( ~ v1_xboole_0(X332)
| ~ v1_funct_1(X332)
| ~ v1_funct_2(X332,u1_struct_0(X331),u1_struct_0(X331))
| ~ v7_waybel_1(X332,X331)
| ~ m1_relset_1(X332,u1_struct_0(X331),u1_struct_0(X331))
| v3_struct_0(X331)
| ~ l1_orders_2(X331) )
& ( v1_funct_2(X332,u1_struct_0(X331),u1_struct_0(X331))
| ~ v1_funct_1(X332)
| ~ v1_funct_2(X332,u1_struct_0(X331),u1_struct_0(X331))
| ~ v7_waybel_1(X332,X331)
| ~ m1_relset_1(X332,u1_struct_0(X331),u1_struct_0(X331))
| v3_struct_0(X331)
| ~ l1_orders_2(X331) )
& ( v1_partfun1(X332,u1_struct_0(X331),u1_struct_0(X331))
| ~ v1_funct_1(X332)
| ~ v1_funct_2(X332,u1_struct_0(X331),u1_struct_0(X331))
| ~ v7_waybel_1(X332,X331)
| ~ m1_relset_1(X332,u1_struct_0(X331),u1_struct_0(X331))
| v3_struct_0(X331)
| ~ l1_orders_2(X331) )
& ( v6_waybel_1(X332,X331)
| ~ v1_funct_1(X332)
| ~ v1_funct_2(X332,u1_struct_0(X331),u1_struct_0(X331))
| ~ v7_waybel_1(X332,X331)
| ~ m1_relset_1(X332,u1_struct_0(X331),u1_struct_0(X331))
| v3_struct_0(X331)
| ~ l1_orders_2(X331) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
fof(c_0_32,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& l1_orders_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
& v7_waybel_1(X2,X1)
& m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) )
=> ( ~ v3_struct_0(k2_yellow_2(X1,X1,X2))
& v1_orders_2(k2_yellow_2(X1,X1,X2))
& v2_orders_2(k2_yellow_2(X1,X1,X2))
& v3_orders_2(k2_yellow_2(X1,X1,X2))
& v4_orders_2(k2_yellow_2(X1,X1,X2))
& v4_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v5_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v7_yellow_0(k2_yellow_2(X1,X1,X2),X1)
& v3_waybel_0(k2_yellow_2(X1,X1,X2),X1) ) ),
inference(fof_simplification,[status(thm)],[fc10_waybel10]) ).
fof(c_0_33,plain,
! [X507,X508] :
( ( v18_waybel_0(k2_waybel_1(X507,X507,X508),X507,k2_yellow_2(X507,X507,X508))
| ~ v1_funct_1(X508)
| ~ v1_funct_2(X508,u1_struct_0(X507),u1_struct_0(X507))
| ~ v7_waybel_1(X508,X507)
| ~ m2_relset_1(X508,u1_struct_0(X507),u1_struct_0(X507))
| ~ v2_orders_2(X507)
| ~ v3_orders_2(X507)
| ~ v4_orders_2(X507)
| ~ v1_lattice3(X507)
| ~ v2_lattice3(X507)
| ~ v3_lattice3(X507)
| ~ l1_orders_2(X507) )
& ( v17_waybel_0(k3_waybel_1(X507,X507,X508),k2_yellow_2(X507,X507,X508),X507)
| ~ v1_funct_1(X508)
| ~ v1_funct_2(X508,u1_struct_0(X507),u1_struct_0(X507))
| ~ v7_waybel_1(X508,X507)
| ~ m2_relset_1(X508,u1_struct_0(X507),u1_struct_0(X507))
| ~ v2_orders_2(X507)
| ~ v3_orders_2(X507)
| ~ v4_orders_2(X507)
| ~ v1_lattice3(X507)
| ~ v2_lattice3(X507)
| ~ v3_lattice3(X507)
| ~ l1_orders_2(X507) )
& ( k2_waybel34(k2_yellow_2(X507,X507,X508),X507,k2_waybel_1(X507,X507,X508)) = k3_waybel_1(X507,X507,X508)
| ~ v1_funct_1(X508)
| ~ v1_funct_2(X508,u1_struct_0(X507),u1_struct_0(X507))
| ~ v7_waybel_1(X508,X507)
| ~ m2_relset_1(X508,u1_struct_0(X507),u1_struct_0(X507))
| ~ v2_orders_2(X507)
| ~ v3_orders_2(X507)
| ~ v4_orders_2(X507)
| ~ v1_lattice3(X507)
| ~ v2_lattice3(X507)
| ~ v3_lattice3(X507)
| ~ l1_orders_2(X507) )
& ( k1_waybel34(k2_yellow_2(X507,X507,X508),X507,k3_waybel_1(X507,X507,X508)) = k2_waybel_1(X507,X507,X508)
| ~ v1_funct_1(X508)
| ~ v1_funct_2(X508,u1_struct_0(X507),u1_struct_0(X507))
| ~ v7_waybel_1(X508,X507)
| ~ m2_relset_1(X508,u1_struct_0(X507),u1_struct_0(X507))
| ~ v2_orders_2(X507)
| ~ v3_orders_2(X507)
| ~ v4_orders_2(X507)
| ~ v1_lattice3(X507)
| ~ v2_lattice3(X507)
| ~ v3_lattice3(X507)
| ~ l1_orders_2(X507) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t39_waybel34])])])]) ).
cnf(c_0_34,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| k3_waybel_1(X1,X2,X3) = k7_grcat_1(k2_yellow_2(X1,X2,X3))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_35,negated_conjecture,
v1_funct_2(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_36,negated_conjecture,
v1_funct_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_37,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]) ).
cnf(c_0_38,plain,
( v1_funct_1(k3_waybel_1(X1,X2,X3))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_39,negated_conjecture,
m1_relset_1(esk2_0,u1_struct_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_27,c_0_28]) ).
fof(c_0_40,plain,
! [X386,X387] :
( ~ l1_orders_2(X386)
| ~ m1_yellow_0(X387,X386)
| l1_orders_2(X387) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_m1_yellow_0])])]) ).
cnf(c_0_41,plain,
( m1_yellow_0(k2_yellow_2(X1,X2,X3),X2)
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
fof(c_0_42,plain,
! [X406,X407] :
( ( ~ v3_struct_0(k2_yellow_2(X406,X406,X407))
| ~ v2_orders_2(X406)
| ~ v3_orders_2(X406)
| ~ v4_orders_2(X406)
| ~ v1_lattice3(X406)
| ~ v2_lattice3(X406)
| ~ v3_lattice3(X406)
| ~ l1_orders_2(X406)
| ~ v1_funct_1(X407)
| ~ v1_funct_2(X407,u1_struct_0(X406),u1_struct_0(X406))
| ~ v6_waybel_1(X407,X406)
| ~ m1_relset_1(X407,u1_struct_0(X406),u1_struct_0(X406)) )
& ( v1_orders_2(k2_yellow_2(X406,X406,X407))
| ~ v2_orders_2(X406)
| ~ v3_orders_2(X406)
| ~ v4_orders_2(X406)
| ~ v1_lattice3(X406)
| ~ v2_lattice3(X406)
| ~ v3_lattice3(X406)
| ~ l1_orders_2(X406)
| ~ v1_funct_1(X407)
| ~ v1_funct_2(X407,u1_struct_0(X406),u1_struct_0(X406))
| ~ v6_waybel_1(X407,X406)
| ~ m1_relset_1(X407,u1_struct_0(X406),u1_struct_0(X406)) )
& ( v2_orders_2(k2_yellow_2(X406,X406,X407))
| ~ v2_orders_2(X406)
| ~ v3_orders_2(X406)
| ~ v4_orders_2(X406)
| ~ v1_lattice3(X406)
| ~ v2_lattice3(X406)
| ~ v3_lattice3(X406)
| ~ l1_orders_2(X406)
| ~ v1_funct_1(X407)
| ~ v1_funct_2(X407,u1_struct_0(X406),u1_struct_0(X406))
| ~ v6_waybel_1(X407,X406)
| ~ m1_relset_1(X407,u1_struct_0(X406),u1_struct_0(X406)) )
& ( v3_orders_2(k2_yellow_2(X406,X406,X407))
| ~ v2_orders_2(X406)
| ~ v3_orders_2(X406)
| ~ v4_orders_2(X406)
| ~ v1_lattice3(X406)
| ~ v2_lattice3(X406)
| ~ v3_lattice3(X406)
| ~ l1_orders_2(X406)
| ~ v1_funct_1(X407)
| ~ v1_funct_2(X407,u1_struct_0(X406),u1_struct_0(X406))
| ~ v6_waybel_1(X407,X406)
| ~ m1_relset_1(X407,u1_struct_0(X406),u1_struct_0(X406)) )
& ( v4_orders_2(k2_yellow_2(X406,X406,X407))
| ~ v2_orders_2(X406)
| ~ v3_orders_2(X406)
| ~ v4_orders_2(X406)
| ~ v1_lattice3(X406)
| ~ v2_lattice3(X406)
| ~ v3_lattice3(X406)
| ~ l1_orders_2(X406)
| ~ v1_funct_1(X407)
| ~ v1_funct_2(X407,u1_struct_0(X406),u1_struct_0(X406))
| ~ v6_waybel_1(X407,X406)
| ~ m1_relset_1(X407,u1_struct_0(X406),u1_struct_0(X406)) )
& ( v1_yellow_0(k2_yellow_2(X406,X406,X407))
| ~ v2_orders_2(X406)
| ~ v3_orders_2(X406)
| ~ v4_orders_2(X406)
| ~ v1_lattice3(X406)
| ~ v2_lattice3(X406)
| ~ v3_lattice3(X406)
| ~ l1_orders_2(X406)
| ~ v1_funct_1(X407)
| ~ v1_funct_2(X407,u1_struct_0(X406),u1_struct_0(X406))
| ~ v6_waybel_1(X407,X406)
| ~ m1_relset_1(X407,u1_struct_0(X406),u1_struct_0(X406)) )
& ( v2_yellow_0(k2_yellow_2(X406,X406,X407))
| ~ v2_orders_2(X406)
| ~ v3_orders_2(X406)
| ~ v4_orders_2(X406)
| ~ v1_lattice3(X406)
| ~ v2_lattice3(X406)
| ~ v3_lattice3(X406)
| ~ l1_orders_2(X406)
| ~ v1_funct_1(X407)
| ~ v1_funct_2(X407,u1_struct_0(X406),u1_struct_0(X406))
| ~ v6_waybel_1(X407,X406)
| ~ m1_relset_1(X407,u1_struct_0(X406),u1_struct_0(X406)) )
& ( v3_yellow_0(k2_yellow_2(X406,X406,X407))
| ~ v2_orders_2(X406)
| ~ v3_orders_2(X406)
| ~ v4_orders_2(X406)
| ~ v1_lattice3(X406)
| ~ v2_lattice3(X406)
| ~ v3_lattice3(X406)
| ~ l1_orders_2(X406)
| ~ v1_funct_1(X407)
| ~ v1_funct_2(X407,u1_struct_0(X406),u1_struct_0(X406))
| ~ v6_waybel_1(X407,X406)
| ~ m1_relset_1(X407,u1_struct_0(X406),u1_struct_0(X406)) )
& ( v4_yellow_0(k2_yellow_2(X406,X406,X407),X406)
| ~ v2_orders_2(X406)
| ~ v3_orders_2(X406)
| ~ v4_orders_2(X406)
| ~ v1_lattice3(X406)
| ~ v2_lattice3(X406)
| ~ v3_lattice3(X406)
| ~ l1_orders_2(X406)
| ~ v1_funct_1(X407)
| ~ v1_funct_2(X407,u1_struct_0(X406),u1_struct_0(X406))
| ~ v6_waybel_1(X407,X406)
| ~ m1_relset_1(X407,u1_struct_0(X406),u1_struct_0(X406)) )
& ( v24_waybel_0(k2_yellow_2(X406,X406,X407))
| ~ v2_orders_2(X406)
| ~ v3_orders_2(X406)
| ~ v4_orders_2(X406)
| ~ v1_lattice3(X406)
| ~ v2_lattice3(X406)
| ~ v3_lattice3(X406)
| ~ l1_orders_2(X406)
| ~ v1_funct_1(X407)
| ~ v1_funct_2(X407,u1_struct_0(X406),u1_struct_0(X406))
| ~ v6_waybel_1(X407,X406)
| ~ m1_relset_1(X407,u1_struct_0(X406),u1_struct_0(X406)) )
& ( v25_waybel_0(k2_yellow_2(X406,X406,X407))
| ~ v2_orders_2(X406)
| ~ v3_orders_2(X406)
| ~ v4_orders_2(X406)
| ~ v1_lattice3(X406)
| ~ v2_lattice3(X406)
| ~ v3_lattice3(X406)
| ~ l1_orders_2(X406)
| ~ v1_funct_1(X407)
| ~ v1_funct_2(X407,u1_struct_0(X406),u1_struct_0(X406))
| ~ v6_waybel_1(X407,X406)
| ~ m1_relset_1(X407,u1_struct_0(X406),u1_struct_0(X406)) )
& ( v1_lattice3(k2_yellow_2(X406,X406,X407))
| ~ v2_orders_2(X406)
| ~ v3_orders_2(X406)
| ~ v4_orders_2(X406)
| ~ v1_lattice3(X406)
| ~ v2_lattice3(X406)
| ~ v3_lattice3(X406)
| ~ l1_orders_2(X406)
| ~ v1_funct_1(X407)
| ~ v1_funct_2(X407,u1_struct_0(X406),u1_struct_0(X406))
| ~ v6_waybel_1(X407,X406)
| ~ m1_relset_1(X407,u1_struct_0(X406),u1_struct_0(X406)) )
& ( v2_lattice3(k2_yellow_2(X406,X406,X407))
| ~ v2_orders_2(X406)
| ~ v3_orders_2(X406)
| ~ v4_orders_2(X406)
| ~ v1_lattice3(X406)
| ~ v2_lattice3(X406)
| ~ v3_lattice3(X406)
| ~ l1_orders_2(X406)
| ~ v1_funct_1(X407)
| ~ v1_funct_2(X407,u1_struct_0(X406),u1_struct_0(X406))
| ~ v6_waybel_1(X407,X406)
| ~ m1_relset_1(X407,u1_struct_0(X406),u1_struct_0(X406)) )
& ( v3_lattice3(k2_yellow_2(X406,X406,X407))
| ~ v2_orders_2(X406)
| ~ v3_orders_2(X406)
| ~ v4_orders_2(X406)
| ~ v1_lattice3(X406)
| ~ v2_lattice3(X406)
| ~ v3_lattice3(X406)
| ~ l1_orders_2(X406)
| ~ v1_funct_1(X407)
| ~ v1_funct_2(X407,u1_struct_0(X406),u1_struct_0(X406))
| ~ v6_waybel_1(X407,X406)
| ~ m1_relset_1(X407,u1_struct_0(X406),u1_struct_0(X406)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])]) ).
cnf(c_0_43,plain,
( v6_waybel_1(X1,X2)
| v3_struct_0(X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ v7_waybel_1(X1,X2)
| ~ m1_relset_1(X1,u1_struct_0(X2),u1_struct_0(X2))
| ~ l1_orders_2(X2) ),
inference(split_conjunct,[status(thm)],[c_0_31]) ).
cnf(c_0_44,negated_conjecture,
v7_waybel_1(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
fof(c_0_45,plain,
! [X404,X405] :
( ( ~ v3_struct_0(k2_yellow_2(X404,X404,X405))
| v3_struct_0(X404)
| ~ v2_orders_2(X404)
| ~ v3_orders_2(X404)
| ~ v4_orders_2(X404)
| ~ l1_orders_2(X404)
| ~ v1_funct_1(X405)
| ~ v1_funct_2(X405,u1_struct_0(X404),u1_struct_0(X404))
| ~ v7_waybel_1(X405,X404)
| ~ m1_relset_1(X405,u1_struct_0(X404),u1_struct_0(X404)) )
& ( v1_orders_2(k2_yellow_2(X404,X404,X405))
| v3_struct_0(X404)
| ~ v2_orders_2(X404)
| ~ v3_orders_2(X404)
| ~ v4_orders_2(X404)
| ~ l1_orders_2(X404)
| ~ v1_funct_1(X405)
| ~ v1_funct_2(X405,u1_struct_0(X404),u1_struct_0(X404))
| ~ v7_waybel_1(X405,X404)
| ~ m1_relset_1(X405,u1_struct_0(X404),u1_struct_0(X404)) )
& ( v2_orders_2(k2_yellow_2(X404,X404,X405))
| v3_struct_0(X404)
| ~ v2_orders_2(X404)
| ~ v3_orders_2(X404)
| ~ v4_orders_2(X404)
| ~ l1_orders_2(X404)
| ~ v1_funct_1(X405)
| ~ v1_funct_2(X405,u1_struct_0(X404),u1_struct_0(X404))
| ~ v7_waybel_1(X405,X404)
| ~ m1_relset_1(X405,u1_struct_0(X404),u1_struct_0(X404)) )
& ( v3_orders_2(k2_yellow_2(X404,X404,X405))
| v3_struct_0(X404)
| ~ v2_orders_2(X404)
| ~ v3_orders_2(X404)
| ~ v4_orders_2(X404)
| ~ l1_orders_2(X404)
| ~ v1_funct_1(X405)
| ~ v1_funct_2(X405,u1_struct_0(X404),u1_struct_0(X404))
| ~ v7_waybel_1(X405,X404)
| ~ m1_relset_1(X405,u1_struct_0(X404),u1_struct_0(X404)) )
& ( v4_orders_2(k2_yellow_2(X404,X404,X405))
| v3_struct_0(X404)
| ~ v2_orders_2(X404)
| ~ v3_orders_2(X404)
| ~ v4_orders_2(X404)
| ~ l1_orders_2(X404)
| ~ v1_funct_1(X405)
| ~ v1_funct_2(X405,u1_struct_0(X404),u1_struct_0(X404))
| ~ v7_waybel_1(X405,X404)
| ~ m1_relset_1(X405,u1_struct_0(X404),u1_struct_0(X404)) )
& ( v4_yellow_0(k2_yellow_2(X404,X404,X405),X404)
| v3_struct_0(X404)
| ~ v2_orders_2(X404)
| ~ v3_orders_2(X404)
| ~ v4_orders_2(X404)
| ~ l1_orders_2(X404)
| ~ v1_funct_1(X405)
| ~ v1_funct_2(X405,u1_struct_0(X404),u1_struct_0(X404))
| ~ v7_waybel_1(X405,X404)
| ~ m1_relset_1(X405,u1_struct_0(X404),u1_struct_0(X404)) )
& ( v5_yellow_0(k2_yellow_2(X404,X404,X405),X404)
| v3_struct_0(X404)
| ~ v2_orders_2(X404)
| ~ v3_orders_2(X404)
| ~ v4_orders_2(X404)
| ~ l1_orders_2(X404)
| ~ v1_funct_1(X405)
| ~ v1_funct_2(X405,u1_struct_0(X404),u1_struct_0(X404))
| ~ v7_waybel_1(X405,X404)
| ~ m1_relset_1(X405,u1_struct_0(X404),u1_struct_0(X404)) )
& ( v7_yellow_0(k2_yellow_2(X404,X404,X405),X404)
| v3_struct_0(X404)
| ~ v2_orders_2(X404)
| ~ v3_orders_2(X404)
| ~ v4_orders_2(X404)
| ~ l1_orders_2(X404)
| ~ v1_funct_1(X405)
| ~ v1_funct_2(X405,u1_struct_0(X404),u1_struct_0(X404))
| ~ v7_waybel_1(X405,X404)
| ~ m1_relset_1(X405,u1_struct_0(X404),u1_struct_0(X404)) )
& ( v3_waybel_0(k2_yellow_2(X404,X404,X405),X404)
| v3_struct_0(X404)
| ~ v2_orders_2(X404)
| ~ v3_orders_2(X404)
| ~ v4_orders_2(X404)
| ~ l1_orders_2(X404)
| ~ v1_funct_1(X405)
| ~ v1_funct_2(X405,u1_struct_0(X404),u1_struct_0(X404))
| ~ v7_waybel_1(X405,X404)
| ~ m1_relset_1(X405,u1_struct_0(X404),u1_struct_0(X404)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])]) ).
fof(c_0_46,plain,
! [X511,X512] :
( ( ~ v4_waybel_0(k2_yellow_2(X511,X511,X512),X511)
| v22_waybel_0(k3_waybel_1(X511,X511,X512),k2_yellow_2(X511,X511,X512),X511)
| ~ v1_funct_1(X512)
| ~ v1_funct_2(X512,u1_struct_0(X511),u1_struct_0(X511))
| ~ v7_waybel_1(X512,X511)
| ~ m2_relset_1(X512,u1_struct_0(X511),u1_struct_0(X511))
| ~ v2_orders_2(X511)
| ~ v3_orders_2(X511)
| ~ v4_orders_2(X511)
| ~ v1_lattice3(X511)
| ~ v2_lattice3(X511)
| ~ v3_lattice3(X511)
| ~ l1_orders_2(X511) )
& ( ~ v22_waybel_0(k3_waybel_1(X511,X511,X512),k2_yellow_2(X511,X511,X512),X511)
| v4_waybel_0(k2_yellow_2(X511,X511,X512),X511)
| ~ v1_funct_1(X512)
| ~ v1_funct_2(X512,u1_struct_0(X511),u1_struct_0(X511))
| ~ v7_waybel_1(X512,X511)
| ~ m2_relset_1(X512,u1_struct_0(X511),u1_struct_0(X511))
| ~ v2_orders_2(X511)
| ~ v3_orders_2(X511)
| ~ v4_orders_2(X511)
| ~ v1_lattice3(X511)
| ~ v2_lattice3(X511)
| ~ v3_lattice3(X511)
| ~ l1_orders_2(X511) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t40_waybel34])])])]) ).
fof(c_0_47,plain,
! [X502,X503,X504] :
( ~ v2_orders_2(X502)
| ~ v3_orders_2(X502)
| ~ v4_orders_2(X502)
| ~ v1_lattice3(X502)
| ~ v2_lattice3(X502)
| ~ v3_lattice3(X502)
| ~ l1_orders_2(X502)
| ~ v2_orders_2(X503)
| ~ v3_orders_2(X503)
| ~ v4_orders_2(X503)
| ~ v1_lattice3(X503)
| ~ v2_lattice3(X503)
| ~ v3_lattice3(X503)
| ~ v3_waybel_3(X503)
| ~ l1_orders_2(X503)
| ~ v1_funct_1(X504)
| ~ v1_funct_2(X504,u1_struct_0(X502),u1_struct_0(X503))
| ~ v17_waybel_0(X504,X502,X503)
| ~ m2_relset_1(X504,u1_struct_0(X502),u1_struct_0(X503))
| ~ v1_waybel34(k1_waybel34(X502,X503,X504),X503,X502)
| v22_waybel_0(X504,X502,X503) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t25_waybel34])])]) ).
cnf(c_0_48,plain,
( k1_waybel34(k2_yellow_2(X1,X1,X2),X1,k3_waybel_1(X1,X1,X2)) = k2_waybel_1(X1,X1,X2)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_49,negated_conjecture,
k3_waybel_1(esk1_0,esk1_0,esk2_0) = k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_28]),c_0_35]),c_0_36]),c_0_25])]),c_0_37]) ).
cnf(c_0_50,negated_conjecture,
v3_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_51,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_52,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_53,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_54,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_55,plain,
( v17_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_56,plain,
( m2_relset_1(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_57,plain,
( v1_funct_2(k3_waybel_1(X1,X2,X3),u1_struct_0(k2_yellow_2(X1,X2,X3)),u1_struct_0(X2))
| v3_struct_0(X1)
| v3_struct_0(X2)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X2)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ m1_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_58,negated_conjecture,
v1_funct_1(k3_waybel_1(esk1_0,esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_35]),c_0_36]),c_0_25])]),c_0_37]) ).
cnf(c_0_59,plain,
( l1_orders_2(X2)
| ~ l1_orders_2(X1)
| ~ m1_yellow_0(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_60,negated_conjecture,
m1_yellow_0(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_39]),c_0_35]),c_0_36]),c_0_25])]),c_0_37]) ).
cnf(c_0_61,plain,
( v3_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v6_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_62,negated_conjecture,
v6_waybel_1(esk2_0,esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_39]),c_0_44]),c_0_35]),c_0_36]),c_0_25])]),c_0_37]) ).
cnf(c_0_63,plain,
( v2_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v6_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_64,plain,
( v1_lattice3(k2_yellow_2(X1,X1,X2))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v6_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_65,plain,
( v4_orders_2(k2_yellow_2(X1,X1,X2))
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_66,plain,
( v3_orders_2(k2_yellow_2(X1,X1,X2))
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_67,plain,
( v2_orders_2(k2_yellow_2(X1,X1,X2))
| v3_struct_0(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ m1_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_68,plain,
( v4_waybel_0(k2_yellow_2(X1,X1,X2),X1)
| ~ v22_waybel_0(k3_waybel_1(X1,X1,X2),k2_yellow_2(X1,X1,X2),X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v7_waybel_1(X2,X1)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_69,negated_conjecture,
~ v4_waybel_0(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_70,plain,
( v22_waybel_0(X3,X1,X2)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v2_lattice3(X1)
| ~ v3_lattice3(X1)
| ~ l1_orders_2(X1)
| ~ 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)
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v17_waybel_0(X3,X1,X2)
| ~ m2_relset_1(X3,u1_struct_0(X1),u1_struct_0(X2))
| ~ v1_waybel34(k1_waybel34(X1,X2,X3),X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_47]) ).
cnf(c_0_71,negated_conjecture,
k1_waybel34(k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0,k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0))) = k2_waybel_1(esk1_0,esk1_0,esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_28]),c_0_49]),c_0_44]),c_0_35]),c_0_36]),c_0_25]),c_0_50]),c_0_51]),c_0_24]),c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_72,negated_conjecture,
v17_waybel_0(k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0)),k2_yellow_2(esk1_0,esk1_0,esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_28]),c_0_49]),c_0_44]),c_0_35]),c_0_36]),c_0_25]),c_0_50]),c_0_51]),c_0_24]),c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_73,negated_conjecture,
v1_waybel34(k2_waybel_1(esk1_0,esk1_0,esk2_0),esk1_0,k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_74,negated_conjecture,
m2_relset_1(k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_39]),c_0_49]),c_0_35]),c_0_36]),c_0_25])]),c_0_37]) ).
cnf(c_0_75,negated_conjecture,
v1_funct_2(k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(k2_yellow_2(esk1_0,esk1_0,esk2_0)),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_39]),c_0_49]),c_0_35]),c_0_36]),c_0_25])]),c_0_37]) ).
cnf(c_0_76,negated_conjecture,
v1_funct_1(k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0))),
inference(rw,[status(thm)],[c_0_58,c_0_49]) ).
cnf(c_0_77,negated_conjecture,
l1_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_59,c_0_60]),c_0_25])]) ).
cnf(c_0_78,negated_conjecture,
v3_waybel_3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_79,negated_conjecture,
v3_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_39]),c_0_62]),c_0_35]),c_0_36]),c_0_25]),c_0_50]),c_0_51]),c_0_24]),c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_80,negated_conjecture,
v2_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_39]),c_0_62]),c_0_35]),c_0_36]),c_0_25]),c_0_50]),c_0_51]),c_0_24]),c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_81,negated_conjecture,
v1_lattice3(k2_yellow_2(esk1_0,esk1_0,esk2_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(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_39]),c_0_62]),c_0_35]),c_0_36]),c_0_25]),c_0_50]),c_0_51]),c_0_24]),c_0_52]),c_0_53]),c_0_54])]) ).
cnf(c_0_82,negated_conjecture,
v4_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_39]),c_0_44]),c_0_35]),c_0_36]),c_0_25]),c_0_52]),c_0_53]),c_0_54])]),c_0_37]) ).
cnf(c_0_83,negated_conjecture,
v3_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_66,c_0_39]),c_0_44]),c_0_35]),c_0_36]),c_0_25]),c_0_52]),c_0_53]),c_0_54])]),c_0_37]) ).
cnf(c_0_84,negated_conjecture,
v2_orders_2(k2_yellow_2(esk1_0,esk1_0,esk2_0)),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_39]),c_0_44]),c_0_35]),c_0_36]),c_0_25]),c_0_52]),c_0_53]),c_0_54])]),c_0_37]) ).
cnf(c_0_85,negated_conjecture,
~ v22_waybel_0(k7_grcat_1(k2_yellow_2(esk1_0,esk1_0,esk2_0)),k2_yellow_2(esk1_0,esk1_0,esk2_0),esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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_68,c_0_49]),c_0_28]),c_0_44]),c_0_35]),c_0_36]),c_0_25]),c_0_50]),c_0_51]),c_0_24]),c_0_52]),c_0_53]),c_0_54])]),c_0_69]) ).
cnf(c_0_86,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(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(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_70,c_0_71]),c_0_72]),c_0_73]),c_0_74]),c_0_75]),c_0_76]),c_0_25]),c_0_77]),c_0_78]),c_0_50]),c_0_79]),c_0_51]),c_0_80]),c_0_24]),c_0_81]),c_0_52]),c_0_82]),c_0_53]),c_0_83]),c_0_54]),c_0_84])]),c_0_85]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT370+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.34 % Computer : n015.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Mon May 4 21:42:32 EDT 2026
% 0.15/0.34 % CPUTime :
% 0.15/0.35 % start to proof: theBenchmark
% 4.21/3.32 % Version : CSE_E---1.7
% 4.21/3.32 % Problem : theBenchmark.p
% 4.21/3.32 % SZS status Theorem for theBenchmark.p
% 4.21/3.32 % SZS output start CNFRefutation
% See solution above
% 4.21/3.33 % Total time : 2.427s
%------------------------------------------------------------------------------