%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : LAT348+4 : 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 : n019.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 04:38:15 PM UTC 2026
% Result : Theorem 107.94s 103.72s
% Output : CNFRefutation 107.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 12
% Syntax : Number of formulae : 72 ( 24 unt; 0 def)
% Number of atoms : 406 ( 12 equ)
% Maximal formula atoms : 70 ( 5 avg)
% Number of connectives : 559 ( 225 ~; 204 |; 114 &)
% ( 0 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 19 ( 17 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 46 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t8_waybel13,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v1_yellow_0(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k2_yellow_1(k8_waybel_0(X1)))
& v4_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v7_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v4_waybel_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& m1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+509.ax',t8_waybel13) ).
fof(t6_waybel22,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
& v4_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v7_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v4_waybel_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& m1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_waybel22) ).
fof(t7_waybel16,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& l1_orders_2(X1) )
=> k9_waybel_0(X1) = k8_waybel_0(k7_lattice3(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+537.ax',t7_waybel16) ).
fof(fc5_yellow_7,axiom,
! [X1] :
( ( v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v1_lattice3(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+495.ax',fc5_yellow_7) ).
fof(t4_yellow_1,axiom,
! [X1] : k3_yellow_1(X1) = k2_yellow_1(k1_zfmisc_1(X1)),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+483.ax',t4_yellow_1) ).
fof(dt_k7_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_orders_2(k7_lattice3(X1))
& l1_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+335.ax',dt_k7_lattice3) ).
fof(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(fc10_yellow_7,axiom,
! [X1] :
( ( v2_yellow_0(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v1_yellow_0(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+495.ax',fc10_yellow_7) ).
fof(fc3_yellow_7,axiom,
! [X1] :
( ( v4_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v4_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+495.ax',fc3_yellow_7) ).
fof(fc2_yellow_7,axiom,
! [X1] :
( ( v3_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v3_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+495.ax',fc2_yellow_7) ).
fof(fc1_yellow_7,axiom,
! [X1] :
( ( v2_orders_2(X1)
& l1_orders_2(X1) )
=> ( v1_orders_2(k7_lattice3(X1))
& v2_orders_2(k7_lattice3(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+495.ax',fc1_yellow_7) ).
fof(fc2_waybel16,axiom,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_lattice3(X1)
& v2_yellow_0(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+537.ax',fc2_waybel16) ).
fof(c_0_12,plain,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v1_lattice3(X1)
& v1_yellow_0(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k2_yellow_1(k8_waybel_0(X1)))
& v4_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v7_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v4_waybel_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& m1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[t8_waybel13]) ).
fof(c_0_13,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_yellow_0(X1)
& v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
& v4_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v7_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& v4_waybel_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
& m1_yellow_0(k2_yellow_1(k9_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t6_waybel22])]) ).
fof(c_0_14,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& l1_orders_2(X1) )
=> k9_waybel_0(X1) = k8_waybel_0(k7_lattice3(X1)) ),
inference(fof_simplification,[status(thm)],[t7_waybel16]) ).
fof(c_0_15,plain,
! [X1] :
( ( v2_lattice3(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k7_lattice3(X1))
& v1_orders_2(k7_lattice3(X1))
& v1_lattice3(k7_lattice3(X1)) ) ),
inference(fof_simplification,[status(thm)],[fc5_yellow_7]) ).
fof(c_0_16,plain,
! [X2373] :
( ( ~ v3_struct_0(k2_yellow_1(k8_waybel_0(X2373)))
| ~ v2_orders_2(X2373)
| ~ v3_orders_2(X2373)
| ~ v4_orders_2(X2373)
| ~ v1_lattice3(X2373)
| ~ v1_yellow_0(X2373)
| ~ l1_orders_2(X2373) )
& ( v4_yellow_0(k2_yellow_1(k8_waybel_0(X2373)),k3_yellow_1(u1_struct_0(X2373)))
| ~ v2_orders_2(X2373)
| ~ v3_orders_2(X2373)
| ~ v4_orders_2(X2373)
| ~ v1_lattice3(X2373)
| ~ v1_yellow_0(X2373)
| ~ l1_orders_2(X2373) )
& ( v7_yellow_0(k2_yellow_1(k8_waybel_0(X2373)),k3_yellow_1(u1_struct_0(X2373)))
| ~ v2_orders_2(X2373)
| ~ v3_orders_2(X2373)
| ~ v4_orders_2(X2373)
| ~ v1_lattice3(X2373)
| ~ v1_yellow_0(X2373)
| ~ l1_orders_2(X2373) )
& ( v4_waybel_0(k2_yellow_1(k8_waybel_0(X2373)),k3_yellow_1(u1_struct_0(X2373)))
| ~ v2_orders_2(X2373)
| ~ v3_orders_2(X2373)
| ~ v4_orders_2(X2373)
| ~ v1_lattice3(X2373)
| ~ v1_yellow_0(X2373)
| ~ l1_orders_2(X2373) )
& ( m1_yellow_0(k2_yellow_1(k8_waybel_0(X2373)),k3_yellow_1(u1_struct_0(X2373)))
| ~ v2_orders_2(X2373)
| ~ v3_orders_2(X2373)
| ~ v4_orders_2(X2373)
| ~ v1_lattice3(X2373)
| ~ v1_yellow_0(X2373)
| ~ l1_orders_2(X2373) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_17,plain,
! [X2277] : k3_yellow_1(X2277) = k2_yellow_1(k1_zfmisc_1(X2277)),
inference(variable_rename,[status(thm)],[t4_yellow_1]) ).
fof(c_0_18,plain,
! [X3982] :
( ( v1_orders_2(k7_lattice3(X3982))
| ~ l1_orders_2(X3982) )
& ( l1_orders_2(k7_lattice3(X3982))
| ~ l1_orders_2(X3982) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_lattice3])])]) ).
fof(c_0_19,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v2_orders_2(esk1_0)
& v3_orders_2(esk1_0)
& v4_orders_2(esk1_0)
& v2_yellow_0(esk1_0)
& v2_lattice3(esk1_0)
& l1_orders_2(esk1_0)
& ( v3_struct_0(k2_yellow_1(k9_waybel_0(esk1_0)))
| ~ v4_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
| ~ v7_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
| ~ v4_waybel_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
| ~ m1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0))) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).
fof(c_0_20,plain,
! [X2347] :
( v3_struct_0(X2347)
| ~ v2_orders_2(X2347)
| ~ v3_orders_2(X2347)
| ~ l1_orders_2(X2347)
| k9_waybel_0(X2347) = k8_waybel_0(k7_lattice3(X2347)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])]) ).
fof(c_0_21,plain,
! [X3983] :
( ~ l1_orders_2(X3983)
| u1_struct_0(X3983) = u1_struct_0(k7_lattice3(X3983)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_yellow_6])]) ).
fof(c_0_22,plain,
! [X3990] :
( ( v1_orders_2(k7_lattice3(X3990))
| ~ v2_yellow_0(X3990)
| ~ l1_orders_2(X3990) )
& ( v1_yellow_0(k7_lattice3(X3990))
| ~ v2_yellow_0(X3990)
| ~ l1_orders_2(X3990) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc10_yellow_7])])]) ).
fof(c_0_23,plain,
! [X3987] :
( ( ~ v3_struct_0(k7_lattice3(X3987))
| ~ v2_lattice3(X3987)
| ~ l1_orders_2(X3987) )
& ( v1_orders_2(k7_lattice3(X3987))
| ~ v2_lattice3(X3987)
| ~ l1_orders_2(X3987) )
& ( v1_lattice3(k7_lattice3(X3987))
| ~ v2_lattice3(X3987)
| ~ l1_orders_2(X3987) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])]) ).
fof(c_0_24,plain,
! [X3986] :
( ( v1_orders_2(k7_lattice3(X3986))
| ~ v4_orders_2(X3986)
| ~ l1_orders_2(X3986) )
& ( v4_orders_2(k7_lattice3(X3986))
| ~ v4_orders_2(X3986)
| ~ l1_orders_2(X3986) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc3_yellow_7])])]) ).
fof(c_0_25,plain,
! [X3985] :
( ( v1_orders_2(k7_lattice3(X3985))
| ~ v3_orders_2(X3985)
| ~ l1_orders_2(X3985) )
& ( v3_orders_2(k7_lattice3(X3985))
| ~ v3_orders_2(X3985)
| ~ l1_orders_2(X3985) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc2_yellow_7])])]) ).
fof(c_0_26,plain,
! [X3984] :
( ( v1_orders_2(k7_lattice3(X3984))
| ~ v2_orders_2(X3984)
| ~ l1_orders_2(X3984) )
& ( v2_orders_2(k7_lattice3(X3984))
| ~ v2_orders_2(X3984)
| ~ l1_orders_2(X3984) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fc1_yellow_7])])]) ).
fof(c_0_27,plain,
! [X1] :
( ( v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v2_lattice3(X1)
& v2_yellow_0(X1)
& l1_orders_2(X1) )
=> ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
& v1_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v3_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v4_orders_2(k2_yellow_1(k9_waybel_0(X1)))
& v2_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v3_lattice3(k2_yellow_1(k9_waybel_0(X1)))
& v1_yellow_0(k2_yellow_1(k9_waybel_0(X1)))
& v24_waybel_0(k2_yellow_1(k9_waybel_0(X1)))
& v25_waybel_0(k2_yellow_1(k9_waybel_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[fc2_waybel16]) ).
cnf(c_0_28,plain,
( m1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_29,plain,
k3_yellow_1(X1) = k2_yellow_1(k1_zfmisc_1(X1)),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_30,plain,
( l1_orders_2(k7_lattice3(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_31,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_32,plain,
( v3_struct_0(X1)
| k9_waybel_0(X1) = k8_waybel_0(k7_lattice3(X1))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_33,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_34,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_35,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_36,plain,
( u1_struct_0(X1) = u1_struct_0(k7_lattice3(X1))
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_37,plain,
( v1_yellow_0(k7_lattice3(X1))
| ~ v2_yellow_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_38,negated_conjecture,
v2_yellow_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_39,plain,
( v1_lattice3(k7_lattice3(X1))
| ~ v2_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_40,negated_conjecture,
v2_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_41,plain,
( v4_orders_2(k7_lattice3(X1))
| ~ v4_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_42,negated_conjecture,
v4_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_43,plain,
( v3_orders_2(k7_lattice3(X1))
| ~ v3_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_44,plain,
( v2_orders_2(k7_lattice3(X1))
| ~ v2_orders_2(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
fof(c_0_45,plain,
! [X2346] :
( ( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X2346)))
| ~ v2_orders_2(X2346)
| ~ v3_orders_2(X2346)
| ~ v4_orders_2(X2346)
| ~ v2_lattice3(X2346)
| ~ v2_yellow_0(X2346)
| ~ l1_orders_2(X2346) )
& ( v1_orders_2(k2_yellow_1(k9_waybel_0(X2346)))
| ~ v2_orders_2(X2346)
| ~ v3_orders_2(X2346)
| ~ v4_orders_2(X2346)
| ~ v2_lattice3(X2346)
| ~ v2_yellow_0(X2346)
| ~ l1_orders_2(X2346) )
& ( v2_orders_2(k2_yellow_1(k9_waybel_0(X2346)))
| ~ v2_orders_2(X2346)
| ~ v3_orders_2(X2346)
| ~ v4_orders_2(X2346)
| ~ v2_lattice3(X2346)
| ~ v2_yellow_0(X2346)
| ~ l1_orders_2(X2346) )
& ( v3_orders_2(k2_yellow_1(k9_waybel_0(X2346)))
| ~ v2_orders_2(X2346)
| ~ v3_orders_2(X2346)
| ~ v4_orders_2(X2346)
| ~ v2_lattice3(X2346)
| ~ v2_yellow_0(X2346)
| ~ l1_orders_2(X2346) )
& ( v4_orders_2(k2_yellow_1(k9_waybel_0(X2346)))
| ~ v2_orders_2(X2346)
| ~ v3_orders_2(X2346)
| ~ v4_orders_2(X2346)
| ~ v2_lattice3(X2346)
| ~ v2_yellow_0(X2346)
| ~ l1_orders_2(X2346) )
& ( v2_lattice3(k2_yellow_1(k9_waybel_0(X2346)))
| ~ v2_orders_2(X2346)
| ~ v3_orders_2(X2346)
| ~ v4_orders_2(X2346)
| ~ v2_lattice3(X2346)
| ~ v2_yellow_0(X2346)
| ~ l1_orders_2(X2346) )
& ( v3_lattice3(k2_yellow_1(k9_waybel_0(X2346)))
| ~ v2_orders_2(X2346)
| ~ v3_orders_2(X2346)
| ~ v4_orders_2(X2346)
| ~ v2_lattice3(X2346)
| ~ v2_yellow_0(X2346)
| ~ l1_orders_2(X2346) )
& ( v1_yellow_0(k2_yellow_1(k9_waybel_0(X2346)))
| ~ v2_orders_2(X2346)
| ~ v3_orders_2(X2346)
| ~ v4_orders_2(X2346)
| ~ v2_lattice3(X2346)
| ~ v2_yellow_0(X2346)
| ~ l1_orders_2(X2346) )
& ( v24_waybel_0(k2_yellow_1(k9_waybel_0(X2346)))
| ~ v2_orders_2(X2346)
| ~ v3_orders_2(X2346)
| ~ v4_orders_2(X2346)
| ~ v2_lattice3(X2346)
| ~ v2_yellow_0(X2346)
| ~ l1_orders_2(X2346) )
& ( v25_waybel_0(k2_yellow_1(k9_waybel_0(X2346)))
| ~ v2_orders_2(X2346)
| ~ v3_orders_2(X2346)
| ~ v4_orders_2(X2346)
| ~ v2_lattice3(X2346)
| ~ v2_yellow_0(X2346)
| ~ l1_orders_2(X2346) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])]) ).
cnf(c_0_46,negated_conjecture,
( v3_struct_0(k2_yellow_1(k9_waybel_0(esk1_0)))
| ~ v4_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
| ~ v7_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
| ~ v4_waybel_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0)))
| ~ m1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k3_yellow_1(u1_struct_0(esk1_0))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_47,plain,
( m1_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(X1))))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1) ),
inference(rw,[status(thm)],[c_0_28,c_0_29]) ).
cnf(c_0_48,negated_conjecture,
l1_orders_2(k7_lattice3(esk1_0)),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_49,negated_conjecture,
k8_waybel_0(k7_lattice3(esk1_0)) = k9_waybel_0(esk1_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_31]),c_0_33]),c_0_34])]),c_0_35]) ).
cnf(c_0_50,negated_conjecture,
u1_struct_0(k7_lattice3(esk1_0)) = u1_struct_0(esk1_0),
inference(spm,[status(thm)],[c_0_36,c_0_31]) ).
cnf(c_0_51,negated_conjecture,
v1_yellow_0(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37,c_0_31]),c_0_38])]) ).
cnf(c_0_52,negated_conjecture,
v1_lattice3(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_31]),c_0_40])]) ).
cnf(c_0_53,negated_conjecture,
v4_orders_2(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_31]),c_0_42])]) ).
cnf(c_0_54,negated_conjecture,
v3_orders_2(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_31]),c_0_33])]) ).
cnf(c_0_55,negated_conjecture,
v2_orders_2(k7_lattice3(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_44,c_0_31]),c_0_34])]) ).
cnf(c_0_56,plain,
( ~ v3_struct_0(k2_yellow_1(k9_waybel_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v2_lattice3(X1)
| ~ v2_yellow_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_57,plain,
( v4_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_58,negated_conjecture,
( v3_struct_0(k2_yellow_1(k9_waybel_0(esk1_0)))
| ~ m1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
| ~ v4_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
| ~ v7_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
| ~ v4_waybel_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0)))) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_29]),c_0_29]),c_0_29]),c_0_29]) ).
cnf(c_0_59,negated_conjecture,
m1_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_47,c_0_48]),c_0_49]),c_0_50]),c_0_51]),c_0_52]),c_0_53]),c_0_54]),c_0_55])]) ).
cnf(c_0_60,negated_conjecture,
~ v3_struct_0(k2_yellow_1(k9_waybel_0(esk1_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_31]),c_0_38]),c_0_40]),c_0_42]),c_0_33]),c_0_34])]) ).
cnf(c_0_61,plain,
( v4_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(X1))))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1) ),
inference(rw,[status(thm)],[c_0_57,c_0_29]) ).
cnf(c_0_62,plain,
( v7_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_63,negated_conjecture,
( ~ v4_waybel_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
| ~ v7_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
| ~ v4_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0)))) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_59])]),c_0_60]) ).
cnf(c_0_64,negated_conjecture,
v4_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_61,c_0_48]),c_0_49]),c_0_50]),c_0_51]),c_0_52]),c_0_53]),c_0_54]),c_0_55])]) ).
cnf(c_0_65,plain,
( v7_yellow_0(k2_yellow_1(k8_waybel_0(X1)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(X1))))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1) ),
inference(rw,[status(thm)],[c_0_62,c_0_29]) ).
cnf(c_0_66,plain,
( v4_waybel_0(k2_yellow_1(k8_waybel_0(X1)),k3_yellow_1(u1_struct_0(X1)))
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_67,negated_conjecture,
( ~ v4_waybel_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0))))
| ~ v7_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0)))) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_64])]) ).
cnf(c_0_68,negated_conjecture,
v7_yellow_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_65,c_0_48]),c_0_49]),c_0_50]),c_0_51]),c_0_52]),c_0_53]),c_0_54]),c_0_55])]) ).
cnf(c_0_69,plain,
( v4_waybel_0(k2_yellow_1(k8_waybel_0(X1)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(X1))))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v4_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v1_yellow_0(X1) ),
inference(rw,[status(thm)],[c_0_66,c_0_29]) ).
cnf(c_0_70,negated_conjecture,
~ v4_waybel_0(k2_yellow_1(k9_waybel_0(esk1_0)),k2_yellow_1(k1_zfmisc_1(u1_struct_0(esk1_0)))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_67,c_0_68])]) ).
cnf(c_0_71,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(spm,[status(thm)],[c_0_69,c_0_48]),c_0_49]),c_0_50]),c_0_51]),c_0_52]),c_0_53]),c_0_54]),c_0_55])]),c_0_70]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LAT348+4 : 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
% 0.14/0.32 % Computer : n019.cluster.edu
% 0.14/0.32 % Model : x86_64 x86_64
% 0.14/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32 % Memory : 8042.1875MB
% 0.14/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32 % CPULimit : 300
% 0.14/0.32 % WCLimit : 300
% 0.14/0.32 % DateTime : Mon May 4 21:30:36 EDT 2026
% 0.14/0.32 % CPUTime :
% 0.14/0.33 % start to proof: theBenchmark
% 107.94/103.72 % Version : CSE_E---1.7
% 107.94/103.72 % Problem : theBenchmark.p
% 107.94/103.72 % SZS status Theorem for theBenchmark.p
% 107.94/103.72 % SZS output start CNFRefutation
% See solution above
% 107.94/103.74 % Total time : 102.428s
%------------------------------------------------------------------------------