%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : LAT348+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 01:05:03 PM UTC 2026
% Result : Theorem 48.70s 8.34s
% Output : CNFRefutation 48.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 57 ( 9 unt; 0 def)
% Number of atoms : 410 ( 7 equ)
% Maximal formula atoms : 70 ( 7 avg)
% Number of connectives : 585 ( 232 ~; 212 |; 124 &)
% ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 45 ( 0 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t6_waybel22,conjecture,
! [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) )
=> ( m1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v4_waybel_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v7_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v4_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_waybel22) ).
fof(t8_waybel13,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v1_yellow_0(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( m1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v4_waybel_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v7_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v4_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& ~ v3_struct_0(k2_yellow_1(k8_waybel_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+509.ax',t8_waybel13) ).
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/sandbox2/benchmark/Axioms/SET007/SET007+537.ax',fc2_waybel16) ).
fof(t7_waybel16,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> k9_waybel_0(X1) = k8_waybel_0(k7_lattice3(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+537.ax',t7_waybel16) ).
fof(t12_yellow_6,axiom,
! [X1] :
( l1_orders_2(X1)
=> u1_struct_0(X1) = u1_struct_0(k7_lattice3(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+493.ax',t12_yellow_6) ).
fof(fc5_yellow_7,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1) )
=> ( v1_lattice3(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& ~ v3_struct_0(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+495.ax',fc5_yellow_7) ).
fof(fc10_yellow_7,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v2_yellow_0(X1) )
=> ( v1_yellow_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+495.ax',fc10_yellow_7) ).
fof(fc3_yellow_7,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v4_orders_2(X1) )
=> ( v4_orders_2(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+495.ax',fc3_yellow_7) ).
fof(fc2_yellow_7,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v3_orders_2(X1) )
=> ( v3_orders_2(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+495.ax',fc2_yellow_7) ).
fof(fc1_yellow_7,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v2_orders_2(X1) )
=> ( v2_orders_2(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+495.ax',fc1_yellow_7) ).
fof(dt_k7_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( l1_orders_2(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+335.ax',dt_k7_lattice3) ).
fof(c_0_11,negated_conjecture,
~ ! [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) )
=> ( m1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v4_waybel_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v7_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v4_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1))) ) ),
inference(assume_negation,[status(cth)],[t6_waybel22]) ).
fof(c_0_12,plain,
! [X1] :
( ( l1_orders_2(X1)
& v1_yellow_0(X1)
& v1_lattice3(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1) )
=> ( m1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v4_waybel_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v7_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v4_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& ~ v3_struct_0(k2_yellow_1(k8_waybel_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[t8_waybel13]) ).
fof(c_0_13,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]) ).
fof(c_0_14,plain,
! [X1] :
( ( l1_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> k9_waybel_0(X1) = k8_waybel_0(k7_lattice3(X1)) ),
inference(fof_simplification,[status(thm)],[t7_waybel16]) ).
fof(c_0_15,negated_conjecture,
~ ! [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) )
=> ( m1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v4_waybel_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v7_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v4_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_16,plain,
! [X182] :
( ( ~ l1_orders_2(X182)
| ~ v1_yellow_0(X182)
| ~ v1_lattice3(X182)
| ~ v4_orders_2(X182)
| ~ v3_orders_2(X182)
| ~ v2_orders_2(X182)
| m1_yellow_0(k2_yellow_1(k8_waybel_0(X182)),k3_yellow_1(u1_struct_0(X182))) )
& ( ~ l1_orders_2(X182)
| ~ v1_yellow_0(X182)
| ~ v1_lattice3(X182)
| ~ v4_orders_2(X182)
| ~ v3_orders_2(X182)
| ~ v2_orders_2(X182)
| v4_waybel_0(k2_yellow_1(k8_waybel_0(X182)),k3_yellow_1(u1_struct_0(X182))) )
& ( ~ l1_orders_2(X182)
| ~ v1_yellow_0(X182)
| ~ v1_lattice3(X182)
| ~ v4_orders_2(X182)
| ~ v3_orders_2(X182)
| ~ v2_orders_2(X182)
| v7_yellow_0(k2_yellow_1(k8_waybel_0(X182)),k3_yellow_1(u1_struct_0(X182))) )
& ( ~ l1_orders_2(X182)
| ~ v1_yellow_0(X182)
| ~ v1_lattice3(X182)
| ~ v4_orders_2(X182)
| ~ v3_orders_2(X182)
| ~ v2_orders_2(X182)
| v4_yellow_0(k2_yellow_1(k8_waybel_0(X182)),k3_yellow_1(u1_struct_0(X182))) )
& ( ~ l1_orders_2(X182)
| ~ v1_yellow_0(X182)
| ~ v1_lattice3(X182)
| ~ v4_orders_2(X182)
| ~ v3_orders_2(X182)
| ~ v2_orders_2(X182)
| ~ v3_struct_0(k2_yellow_1(k8_waybel_0(X182))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_17,plain,
! [X1694] :
( u1_struct_0(X1694) = u1_struct_0(k7_lattice3(X1694))
| ~ l1_orders_2(X1694) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_yellow_6])])]) ).
fof(c_0_18,plain,
! [X155] :
( ( ~ l1_orders_2(X155)
| ~ v2_yellow_0(X155)
| ~ v2_lattice3(X155)
| ~ v4_orders_2(X155)
| ~ v3_orders_2(X155)
| ~ v2_orders_2(X155)
| v25_waybel_0(k2_yellow_1(k9_waybel_0(X155))) )
& ( ~ l1_orders_2(X155)
| ~ v2_yellow_0(X155)
| ~ v2_lattice3(X155)
| ~ v4_orders_2(X155)
| ~ v3_orders_2(X155)
| ~ v2_orders_2(X155)
| v24_waybel_0(k2_yellow_1(k9_waybel_0(X155))) )
& ( ~ l1_orders_2(X155)
| ~ v2_yellow_0(X155)
| ~ v2_lattice3(X155)
| ~ v4_orders_2(X155)
| ~ v3_orders_2(X155)
| ~ v2_orders_2(X155)
| v1_yellow_0(k2_yellow_1(k9_waybel_0(X155))) )
& ( ~ l1_orders_2(X155)
| ~ v2_yellow_0(X155)
| ~ v2_lattice3(X155)
| ~ v4_orders_2(X155)
| ~ v3_orders_2(X155)
| ~ v2_orders_2(X155)
| v3_lattice3(k2_yellow_1(k9_waybel_0(X155))) )
& ( ~ l1_orders_2(X155)
| ~ v2_yellow_0(X155)
| ~ v2_lattice3(X155)
| ~ v4_orders_2(X155)
| ~ v3_orders_2(X155)
| ~ v2_orders_2(X155)
| v2_lattice3(k2_yellow_1(k9_waybel_0(X155))) )
& ( ~ l1_orders_2(X155)
| ~ v2_yellow_0(X155)
| ~ v2_lattice3(X155)
| ~ v4_orders_2(X155)
| ~ v3_orders_2(X155)
| ~ v2_orders_2(X155)
| v4_orders_2(k2_yellow_1(k9_waybel_0(X155))) )
& ( ~ l1_orders_2(X155)
| ~ v2_yellow_0(X155)
| ~ v2_lattice3(X155)
| ~ v4_orders_2(X155)
| ~ v3_orders_2(X155)
| ~ v2_orders_2(X155)
| v3_orders_2(k2_yellow_1(k9_waybel_0(X155))) )
& ( ~ l1_orders_2(X155)
| ~ v2_yellow_0(X155)
| ~ v2_lattice3(X155)
| ~ v4_orders_2(X155)
| ~ v3_orders_2(X155)
| ~ v2_orders_2(X155)
| v2_orders_2(k2_yellow_1(k9_waybel_0(X155))) )
& ( ~ l1_orders_2(X155)
| ~ v2_yellow_0(X155)
| ~ v2_lattice3(X155)
| ~ v4_orders_2(X155)
| ~ v3_orders_2(X155)
| ~ v2_orders_2(X155)
| v1_orders_2(k2_yellow_1(k9_waybel_0(X155))) )
& ( ~ l1_orders_2(X155)
| ~ v2_yellow_0(X155)
| ~ v2_lattice3(X155)
| ~ v4_orders_2(X155)
| ~ v3_orders_2(X155)
| ~ v2_orders_2(X155)
| ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X155))) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
fof(c_0_19,plain,
! [X156] :
( k9_waybel_0(X156) = k8_waybel_0(k7_lattice3(X156))
| ~ l1_orders_2(X156)
| ~ v3_orders_2(X156)
| ~ v2_orders_2(X156)
| v3_struct_0(X156) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_20,negated_conjecture,
( ( ~ m1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
| ~ v4_waybel_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
| ~ v7_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
| ~ v4_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(esk1_0))) )
& l1_orders_2(esk1_0)
& v2_lattice3(esk1_0)
& v2_yellow_0(esk1_0)
& v4_orders_2(esk1_0)
& v3_orders_2(esk1_0)
& v2_orders_2(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])]) ).
fof(c_0_21,plain,
! [X1] :
( ( l1_orders_2(X1)
& v2_lattice3(X1) )
=> ( v1_lattice3(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& ~ v3_struct_0(k7_lattice3(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc5_yellow_7]) ).
fof(c_0_22,plain,
! [X248] :
( ( ~ l1_orders_2(X248)
| ~ v2_yellow_0(X248)
| v1_yellow_0(k7_lattice3(X248)) )
& ( ~ l1_orders_2(X248)
| ~ v2_yellow_0(X248)
| v1_orders_2(k7_lattice3(X248)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_yellow_7])])])]) ).
cnf(c_0_23,plain,
( ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v4_waybel_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,plain,
( ~ l1_orders_2(X1)
| u1_struct_0(X1) = u1_struct_0(k7_lattice3(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_25,plain,
( ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v7_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,plain,
( ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| v4_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,plain,
( ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v1_lattice3(X1)
| ~ v4_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| m1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,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_struct_0(k2_yellow_1(k9_waybel_0(X1))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29,plain,
( ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| k9_waybel_0(X1) = k8_waybel_0(k7_lattice3(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_30,negated_conjecture,
( ~ m1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
| ~ v4_waybel_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
| ~ v7_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
| ~ v4_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
| v3_struct_0(k2_yellow_1(k9_waybel_0(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_31,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_33,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_34,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
fof(c_0_35,plain,
! [X1698] :
( ( ~ l1_orders_2(X1698)
| ~ v2_lattice3(X1698)
| v1_lattice3(k7_lattice3(X1698)) )
& ( ~ l1_orders_2(X1698)
| ~ v2_lattice3(X1698)
| v1_orders_2(k7_lattice3(X1698)) )
& ( ~ l1_orders_2(X1698)
| ~ v2_lattice3(X1698)
| ~ v3_struct_0(k7_lattice3(X1698)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
fof(c_0_36,plain,
! [X1697] :
( ( ~ l1_orders_2(X1697)
| ~ v4_orders_2(X1697)
| v4_orders_2(k7_lattice3(X1697)) )
& ( ~ l1_orders_2(X1697)
| ~ v4_orders_2(X1697)
| v1_orders_2(k7_lattice3(X1697)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_yellow_7])])])]) ).
fof(c_0_37,plain,
! [X1696] :
( ( ~ l1_orders_2(X1696)
| ~ v3_orders_2(X1696)
| v3_orders_2(k7_lattice3(X1696)) )
& ( ~ l1_orders_2(X1696)
| ~ v3_orders_2(X1696)
| v1_orders_2(k7_lattice3(X1696)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_yellow_7])])])]) ).
fof(c_0_38,plain,
! [X1695] :
( ( ~ l1_orders_2(X1695)
| ~ v2_orders_2(X1695)
| v2_orders_2(k7_lattice3(X1695)) )
& ( ~ l1_orders_2(X1695)
| ~ v2_orders_2(X1695)
| v1_orders_2(k7_lattice3(X1695)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_yellow_7])])])]) ).
fof(c_0_39,plain,
! [X1693] :
( ( ~ l1_orders_2(X1693)
| l1_orders_2(k7_lattice3(X1693)) )
& ( ~ l1_orders_2(X1693)
| v1_orders_2(k7_lattice3(X1693)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_lattice3])])])]) ).
cnf(c_0_40,plain,
( ~ l1_orders_2(X1)
| ~ v2_yellow_0(X1)
| v1_yellow_0(k7_lattice3(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_41,negated_conjecture,
v2_yellow_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_42,plain,
( ~ l1_orders_2(X1)
| ~ l1_orders_2(k7_lattice3(X1))
| ~ v2_orders_2(k7_lattice3(X1))
| ~ v3_orders_2(k7_lattice3(X1))
| ~ v4_orders_2(k7_lattice3(X1))
| ~ v1_lattice3(k7_lattice3(X1))
| ~ v1_yellow_0(k7_lattice3(X1))
| v4_waybel_0(k2_yellow_1(k8_waybel_0(k7_lattice3(X1))),k3_yellow_1(u1_struct_0(X1))) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_43,plain,
( ~ l1_orders_2(X1)
| ~ l1_orders_2(k7_lattice3(X1))
| ~ v2_orders_2(k7_lattice3(X1))
| ~ v3_orders_2(k7_lattice3(X1))
| ~ v4_orders_2(k7_lattice3(X1))
| ~ v1_lattice3(k7_lattice3(X1))
| ~ v1_yellow_0(k7_lattice3(X1))
| v7_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(X1))),k3_yellow_1(u1_struct_0(X1))) ),
inference(spm,[status(thm)],[c_0_25,c_0_24]) ).
cnf(c_0_44,plain,
( ~ l1_orders_2(X1)
| ~ l1_orders_2(k7_lattice3(X1))
| ~ v2_orders_2(k7_lattice3(X1))
| ~ v3_orders_2(k7_lattice3(X1))
| ~ v4_orders_2(k7_lattice3(X1))
| ~ v1_lattice3(k7_lattice3(X1))
| ~ v1_yellow_0(k7_lattice3(X1))
| v4_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(X1))),k3_yellow_1(u1_struct_0(X1))) ),
inference(spm,[status(thm)],[c_0_26,c_0_24]) ).
cnf(c_0_45,plain,
( ~ l1_orders_2(X1)
| ~ l1_orders_2(k7_lattice3(X1))
| ~ v2_orders_2(k7_lattice3(X1))
| ~ v3_orders_2(k7_lattice3(X1))
| ~ v4_orders_2(k7_lattice3(X1))
| ~ v1_lattice3(k7_lattice3(X1))
| ~ v1_yellow_0(k7_lattice3(X1))
| m1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(X1))),k3_yellow_1(u1_struct_0(X1))) ),
inference(spm,[status(thm)],[c_0_27,c_0_24]) ).
cnf(c_0_46,plain,
( ~ v3_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(X1))))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1)
| v3_struct_0(X1) ),
inference(spm,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_47,negated_conjecture,
( ~ m1_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(esk1_0))),k3_yellow_1(u1_struct_0(esk1_0)))
| ~ v4_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(esk1_0))),k3_yellow_1(u1_struct_0(esk1_0)))
| ~ v7_yellow_0(k2_yellow_1(k8_waybel_0(k7_lattice3(esk1_0))),k3_yellow_1(u1_struct_0(esk1_0)))
| ~ v4_waybel_0(k2_yellow_1(k8_waybel_0(k7_lattice3(esk1_0))),k3_yellow_1(u1_struct_0(esk1_0)))
| v3_struct_0(k2_yellow_1(k8_waybel_0(k7_lattice3(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_30,c_0_29]),c_0_31]),c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_48,plain,
( ~ l1_orders_2(X1)
| ~ v2_lattice3(X1)
| v1_lattice3(k7_lattice3(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_35]) ).
cnf(c_0_49,plain,
( ~ l1_orders_2(X1)
| ~ v4_orders_2(X1)
| v4_orders_2(k7_lattice3(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_36]) ).
cnf(c_0_50,plain,
( ~ l1_orders_2(X1)
| ~ v3_orders_2(X1)
| v3_orders_2(k7_lattice3(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_51,plain,
( ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| v2_orders_2(k7_lattice3(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_52,plain,
( ~ l1_orders_2(X1)
| l1_orders_2(k7_lattice3(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
cnf(c_0_53,negated_conjecture,
v1_yellow_0(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_41]),c_0_33])]) ).
cnf(c_0_54,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_55,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_56,plain,
$false,
inference(cdclpropres,[status(thm)],[c_0_42,c_0_43,c_0_44,c_0_45,c_0_46,c_0_47,c_0_48,c_0_49,c_0_50,c_0_51,c_0_52,c_0_34,c_0_53,c_0_41,c_0_54,c_0_55,c_0_31,c_0_32,c_0_33]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT348+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n012.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sun Sep 20 23:45:14 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 48.70/8.34 % Version: 3.5.1
% 48.70/8.34 % Preprocessing class: FMLLSMLLSSSNFFN.
% 48.70/8.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 48.70/8.34 % Starting new_bool_3 with 900s (3) cores
% 48.70/8.34 % Starting new_bool_1 with 900s (3) cores
% 48.70/8.34 % Starting sh5l with 300s (1) cores
% 48.70/8.34 % Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 48.70/8.34 % new_bool_3 with pid 1131648 completed with status 0
% 48.70/8.34 % Result found by new_bool_3
% 48.70/8.34 % Preprocessing class: FMLLSMLLSSSNFFN.
% 48.70/8.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 48.70/8.34 % Starting new_bool_3 with 900s (3) cores
% 48.70/8.34 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 48.70/8.34 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 48.70/8.34 % Search class: FGHSM-SMLM32-MFFFFFNN
% 48.70/8.34 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 48.70/8.34 % Starting SubtermCWHack with 82s (1) cores
% 48.70/8.34 % Starting new_bool_3 with 91s (1) cores
% 48.70/8.34 % Starting C12_02_nc_SAT001_MinMin_p005000_rr with 68s (1) cores
% 48.70/8.34 % new_bool_3 with pid 1131657 completed with status 0
% 48.70/8.34 % Result found by new_bool_3
% 48.70/8.34 % Preprocessing class: FMLLSMLLSSSNFFN.
% 48.70/8.34 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 48.70/8.34 % Starting new_bool_3 with 900s (3) cores
% 48.70/8.34 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 48.70/8.34 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 48.70/8.34 % Search class: FGHSM-SMLM32-MFFFFFNN
% 48.70/8.34 % Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 48.70/8.34 % Starting SubtermCWHack with 82s (1) cores
% 48.70/8.34 % Starting new_bool_3 with 91s (1) cores
% 48.70/8.34 % Preprocessing time : 0.134 s
% 48.70/8.34 % Presaturation interreduction done
% 48.70/8.34 % SatCheck found unsatisfiable ground set
% 48.70/8.34
% 48.70/8.34 % Proof found!
% 48.70/8.34 % SZS status Theorem
% 48.70/8.34 % SZS output start CNFRefutation
% See solution above
% 48.70/8.34 % Parsed axioms : 17788
% 48.70/8.34 % Removed by relevancy pruning/SinE : 15804
% 48.70/8.34 % Initial clauses : 5234
% 48.70/8.34 % Removed in clause preprocessing : 204
% 48.70/8.34 % Initial clauses in saturation : 5030
% 48.70/8.34 % Processed clauses : 22578
% 48.70/8.34 % ...of these trivial : 427
% 48.70/8.34 % ...subsumed : 12151
% 48.70/8.34 % ...remaining for further processing : 10000
% 48.70/8.34 % Other redundant clauses eliminated : 768
% 48.70/8.34 % Clauses deleted for lack of memory : 0
% 48.70/8.34 % Backward-subsumed : 86
% 48.70/8.34 % Backward-rewritten : 192
% 48.70/8.34 % Generated clauses : 72048
% 48.70/8.34 % ...of the previous two non-redundant : 57221
% 48.70/8.34 % ...aggressively subsumed : 0
% 48.70/8.34 % Contextual simplify-reflections : 397
% 48.70/8.34 % Paramodulations : 71280
% 48.70/8.34 % Factorizations : 5
% 48.70/8.34 % NegExts : 0
% 48.70/8.34 % Equation resolutions : 782
% 48.70/8.34 % Disequality decompositions : 0
% 48.70/8.34 % Total rewrite steps : 27183
% 48.70/8.34 % ...of those cached : 23928
% 48.70/8.34 % Propositional unsat checks : 2
% 48.70/8.34 % Propositional check models : 1
% 48.70/8.34 % Propositional check unsatisfiable : 1
% 48.70/8.34 % Propositional clauses : 48882
% 48.70/8.34 % Propositional clauses after purity: 7524
% 48.70/8.34 % Propositional unsat core size : 19
% 48.70/8.34 % Propositional preprocessing time : 0.000
% 48.70/8.34 % Propositional encoding time : 0.094
% 48.70/8.34 % Propositional solver time : 0.015
% 48.70/8.34 % Success case prop preproc time : 0.000
% 48.70/8.34 % Success case prop encoding time : 0.070
% 48.70/8.34 % Success case prop solver time : 0.009
% 48.70/8.34 % Current number of processed clauses : 4879
% 48.70/8.34 % Positive orientable unit clauses : 1180
% 48.70/8.34 % Positive unorientable unit clauses: 3
% 48.70/8.34 % Negative unit clauses : 975
% 48.70/8.34 % Non-unit-clauses : 2721
% 48.70/8.34 % Current number of unprocessed clauses: 44003
% 48.70/8.34 % ...number of literals in the above : 146362
% 48.70/8.34 % Current number of archived formulas : 0
% 48.70/8.34 % Current number of archived clauses : 4849
% 48.70/8.34 % Clause-clause subsumption calls (NU) : 17739633
% 48.70/8.34 % Rec. Clause-clause subsumption calls : 1328769
% 48.70/8.34 % Non-unit clause-clause subsumptions : 2750
% 48.70/8.34 % Unit Clause-clause subsumption calls : 462996
% 48.70/8.34 % Rewrite failures with RHS unbound : 0
% 48.70/8.34 % BW rewrite match attempts : 481
% 48.70/8.34 % BW rewrite match successes : 302
% 48.70/8.34 % Condensation attempts : 0
% 48.70/8.34 % Condensation successes : 0
% 48.70/8.34 % Termbank termtop insertions : 2047393
% 48.70/8.34 % Search garbage collected termcells : 243439
% 48.70/8.34
% 48.70/8.34 % -------------------------------------------------
% 48.70/8.34 % User time : 7.027 s
% 48.70/8.34 % System time : 0.142 s
% 48.70/8.34 % Total time : 7.169 s
% 48.70/8.34 % Maximum resident set size: 44812 pages
% 48.70/8.34
% 48.70/8.34 % -------------------------------------------------
% 48.70/8.34 % User time : 20.393 s
% 48.70/8.34 % System time : 0.415 s
% 48.70/8.34 % Total time : 20.809 s
% 48.70/8.34 % Maximum resident set size: 30464 pages
% 48.70/8.34 % E exiting
%------------------------------------------------------------------------------