%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SEU411+4 : 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 : n011.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 02:25:02 PM UTC 2026
% Result : Theorem 204.75s 35.35s
% Output : CNFRefutation 204.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 57 ( 25 unt; 0 def)
% Number of atoms : 263 ( 3 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 306 ( 100 ~; 72 |; 100 &)
% ( 4 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 12 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 58 ( 1 sgn 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t20_latsum_1,conjecture,
! [X1] :
( ( l1_orders_2(X1)
& v1_lattice3(X1)
& v1_yellow_0(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& v1_lattice3(X2)
& v1_yellow_0(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ( ( m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2)
& v1_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2)
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2))) )
=> r2_hidden(k3_yellow_0(X2),u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_latsum_1) ).
fof(t4_waybel13,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v1_lattice3(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(u1_struct_0(X1),X1)
& v1_waybel_0(u1_struct_0(X1),X1)
& ~ v1_xboole_0(u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+509.ax',t4_waybel13) ).
fof(cc1_lattice3,axiom,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+335.ax',cc1_lattice3) ).
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) )
& ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+7.ax',d2_subset_1) ).
fof(dt_k3_yellow_0,axiom,
! [X1] :
( l1_orders_2(X1)
=> m1_subset_1(k3_yellow_0(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+480.ax',dt_k3_yellow_0) ).
fof(t10_waybel12,axiom,
! [X1] :
( ( l1_orders_2(X1)
& v1_yellow_0(X1)
& v4_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(X2,X1)
& ~ v1_xboole_0(X2) )
=> r2_hidden(k3_yellow_0(X1),X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+506.ax',t10_waybel12) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+2.ax',commutativity_k3_xboole_0) ).
fof(t13_latsum_1,axiom,
! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( r2_hidden(X3,k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)))
=> m1_subset_1(X3,u1_struct_0(X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_latsum_1) ).
fof(t7_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X2)
& r2_hidden(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+3.ax',t7_boole) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ( l1_orders_2(X1)
& v1_lattice3(X1)
& v1_yellow_0(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& v1_lattice3(X2)
& v1_yellow_0(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ( ( m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2)
& v1_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2)
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2))) )
=> r2_hidden(k3_yellow_0(X2),u1_struct_0(X1)) ) ) ),
inference(assume_negation,[status(cth)],[t20_latsum_1]) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ( l1_orders_2(X1)
& v1_lattice3(X1)
& v1_yellow_0(X1)
& v4_orders_2(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& v1_lattice3(X2)
& v1_yellow_0(X2)
& v4_orders_2(X2)
& v3_orders_2(X2)
& v2_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ( ( m1_subset_1(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),k1_zfmisc_1(u1_struct_0(X2)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2)
& v1_waybel_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)),X2)
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2))) )
=> r2_hidden(k3_yellow_0(X2),u1_struct_0(X1)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_11,plain,
! [X1] :
( ( l1_orders_2(X1)
& v1_lattice3(X1)
& v3_orders_2(X1)
& v2_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(u1_struct_0(X1),X1)
& v1_waybel_0(u1_struct_0(X1),X1)
& ~ v1_xboole_0(u1_struct_0(X1)) ) ),
inference(fof_simplification,[status(thm)],[t4_waybel13]) ).
fof(c_0_12,plain,
! [X1] :
( l1_orders_2(X1)
=> ( v1_lattice3(X1)
=> ~ v3_struct_0(X1) ) ),
inference(fof_simplification,[status(thm)],[cc1_lattice3]) ).
fof(c_0_13,plain,
! [X1,X2] :
( ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) )
& ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) ) ),
inference(fof_simplification,[status(thm)],[d2_subset_1]) ).
fof(c_0_14,plain,
! [X112] :
( m1_subset_1(k3_yellow_0(X112),u1_struct_0(X112))
| ~ l1_orders_2(X112) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k3_yellow_0])])]) ).
fof(c_0_15,negated_conjecture,
( ~ r2_hidden(k3_yellow_0(esk2_0),u1_struct_0(esk1_0))
& m1_subset_1(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)),k1_zfmisc_1(u1_struct_0(esk2_0)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)),esk2_0)
& v1_waybel_0(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)),esk2_0)
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)))
& l1_orders_2(esk2_0)
& v1_lattice3(esk2_0)
& v1_yellow_0(esk2_0)
& v4_orders_2(esk2_0)
& v3_orders_2(esk2_0)
& v2_orders_2(esk2_0)
& ~ v3_struct_0(esk2_0)
& l1_orders_2(esk1_0)
& v1_lattice3(esk1_0)
& v1_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_10])])])]) ).
fof(c_0_16,plain,
! [X1] :
( ( l1_orders_2(X1)
& v1_yellow_0(X1)
& v4_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(X2,X1)
& ~ v1_xboole_0(X2) )
=> r2_hidden(k3_yellow_0(X1),X2) ) ),
inference(fof_simplification,[status(thm)],[t10_waybel12]) ).
fof(c_0_17,plain,
! [X183,X184] : k3_xboole_0(X183,X184) = k3_xboole_0(X184,X183),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
fof(c_0_18,plain,
! [X547] :
( ( ~ l1_orders_2(X547)
| ~ v1_lattice3(X547)
| ~ v3_orders_2(X547)
| ~ v2_orders_2(X547)
| v3_struct_0(X547)
| m1_subset_1(u1_struct_0(X547),k1_zfmisc_1(u1_struct_0(X547))) )
& ( ~ l1_orders_2(X547)
| ~ v1_lattice3(X547)
| ~ v3_orders_2(X547)
| ~ v2_orders_2(X547)
| v3_struct_0(X547)
| v12_waybel_0(u1_struct_0(X547),X547) )
& ( ~ l1_orders_2(X547)
| ~ v1_lattice3(X547)
| ~ v3_orders_2(X547)
| ~ v2_orders_2(X547)
| v3_struct_0(X547)
| v1_waybel_0(u1_struct_0(X547),X547) )
& ( ~ l1_orders_2(X547)
| ~ v1_lattice3(X547)
| ~ v3_orders_2(X547)
| ~ v2_orders_2(X547)
| v3_struct_0(X547)
| ~ v1_xboole_0(u1_struct_0(X547)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])]) ).
fof(c_0_19,plain,
! [X609] :
( ~ v3_struct_0(X609)
| ~ v1_lattice3(X609)
| ~ l1_orders_2(X609) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])]) ).
fof(c_0_20,plain,
! [X65,X66] :
( ( ~ v1_xboole_0(X65)
| m1_subset_1(X66,X65)
| ~ v1_xboole_0(X66) )
& ( ~ v1_xboole_0(X65)
| v1_xboole_0(X66)
| ~ m1_subset_1(X66,X65) )
& ( v1_xboole_0(X65)
| m1_subset_1(X66,X65)
| ~ r2_hidden(X66,X65) )
& ( v1_xboole_0(X65)
| r2_hidden(X66,X65)
| ~ m1_subset_1(X66,X65) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])]) ).
cnf(c_0_21,plain,
( ~ l1_orders_2(X1)
| m1_subset_1(k3_yellow_0(X1),u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_22,negated_conjecture,
l1_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
fof(c_0_23,plain,
! [X1] :
( ( l1_orders_2(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_orders_2(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( r2_hidden(X3,k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)))
=> m1_subset_1(X3,u1_struct_0(X2)) ) ) ),
inference(fof_simplification,[status(thm)],[t13_latsum_1]) ).
fof(c_0_24,plain,
! [X143,X144] :
( r2_hidden(k3_yellow_0(X143),X144)
| ~ m1_subset_1(X144,k1_zfmisc_1(u1_struct_0(X143)))
| ~ v12_waybel_0(X144,X143)
| v1_xboole_0(X144)
| ~ l1_orders_2(X143)
| ~ v1_yellow_0(X143)
| ~ v4_orders_2(X143)
| v3_struct_0(X143) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
cnf(c_0_25,negated_conjecture,
m1_subset_1(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)),k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_26,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27,negated_conjecture,
v12_waybel_0(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0)),esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_28,negated_conjecture,
~ v1_xboole_0(k3_xboole_0(u1_struct_0(esk1_0),u1_struct_0(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_29,plain,
( ~ l1_orders_2(X1)
| ~ v1_lattice3(X1)
| ~ v3_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v1_xboole_0(u1_struct_0(X1))
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_30,plain,
( ~ v3_struct_0(X1)
| ~ v1_lattice3(X1)
| ~ l1_orders_2(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_31,plain,
( ~ m1_subset_1(X1,X2)
| v1_xboole_0(X2)
| r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_32,negated_conjecture,
m1_subset_1(k3_yellow_0(esk1_0),u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_21,c_0_22]) ).
fof(c_0_33,plain,
! [X464,X465,X466] :
( m1_subset_1(X466,u1_struct_0(X465))
| ~ r2_hidden(X466,k3_xboole_0(u1_struct_0(X464),u1_struct_0(X465)))
| ~ l1_orders_2(X465)
| v3_struct_0(X465)
| ~ l1_orders_2(X464)
| v3_struct_0(X464) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_23])])])]) ).
cnf(c_0_34,plain,
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v12_waybel_0(X2,X1)
| ~ l1_orders_2(X1)
| ~ v1_yellow_0(X1)
| ~ v4_orders_2(X1)
| r2_hidden(k3_yellow_0(X1),X2)
| v1_xboole_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_35,negated_conjecture,
m1_subset_1(k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0)),k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(rw,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_36,negated_conjecture,
v12_waybel_0(k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0)),esk2_0),
inference(rw,[status(thm)],[c_0_27,c_0_26]) ).
cnf(c_0_37,negated_conjecture,
v1_yellow_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_38,negated_conjecture,
v4_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_39,negated_conjecture,
l1_orders_2(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_40,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_41,negated_conjecture,
~ v1_xboole_0(k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))),
inference(rw,[status(thm)],[c_0_28,c_0_26]) ).
fof(c_0_42,plain,
! [X63,X64] :
( ~ v1_xboole_0(X64)
| ~ r2_hidden(X63,X64) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t7_boole])])]) ).
cnf(c_0_43,plain,
( ~ v1_xboole_0(u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ v2_orders_2(X1)
| ~ v3_orders_2(X1)
| ~ v1_lattice3(X1) ),
inference(csr,[status(thm)],[c_0_29,c_0_30]) ).
cnf(c_0_44,negated_conjecture,
( r2_hidden(k3_yellow_0(esk1_0),u1_struct_0(esk1_0))
| v1_xboole_0(u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_45,negated_conjecture,
v1_lattice3(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_46,negated_conjecture,
v3_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_47,negated_conjecture,
v2_orders_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_48,plain,
( ~ r2_hidden(X3,k3_xboole_0(u1_struct_0(X1),u1_struct_0(X2)))
| ~ l1_orders_2(X2)
| ~ l1_orders_2(X1)
| m1_subset_1(X3,u1_struct_0(X2))
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_49,negated_conjecture,
r2_hidden(k3_yellow_0(esk2_0),k3_xboole_0(u1_struct_0(esk2_0),u1_struct_0(esk1_0))),
inference(sr,[status(thm)],[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_34,c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39])]),c_0_40]),c_0_41]) ).
cnf(c_0_50,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_51,plain,
( ~ v1_xboole_0(X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,negated_conjecture,
r2_hidden(k3_yellow_0(esk1_0),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(spm,[status(thm)],[c_0_43,c_0_44]),c_0_45]),c_0_46]),c_0_47]),c_0_22])]) ).
cnf(c_0_53,negated_conjecture,
m1_subset_1(k3_yellow_0(esk2_0),u1_struct_0(esk1_0)),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_22]),c_0_39])]),c_0_40]),c_0_50]) ).
cnf(c_0_54,negated_conjecture,
~ v1_xboole_0(u1_struct_0(esk1_0)),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_55,negated_conjecture,
~ r2_hidden(k3_yellow_0(esk2_0),u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_15]) ).
cnf(c_0_56,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_53]),c_0_54]),c_0_55]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU411+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n011.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 06:22:26 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 204.75/35.35 % Version: 3.5.1
% 204.75/35.35 % Preprocessing class: FMLLMLLLSSSNFFN.
% 204.75/35.35 % Scheduled 4 strats onto 8 cores with 296 seconds (2368 total)
% 204.75/35.35 % Starting new_bool_3 with 888s (3) cores
% 204.75/35.35 % Starting new_bool_1 with 888s (3) cores
% 204.75/35.35 % Starting sh5l with 296s (1) cores
% 204.75/35.35 % Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 296s (1) cores
% 204.75/35.35 % new_bool_3 with pid 1167825 completed with status 0
% 204.75/35.35 % Result found by new_bool_3
% 204.75/35.35 % Preprocessing class: FMLLMLLLSSSNFFN.
% 204.75/35.35 % Scheduled 4 strats onto 8 cores with 296 seconds (2368 total)
% 204.75/35.35 % Starting new_bool_3 with 888s (3) cores
% 204.75/35.35 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 204.75/35.35 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 204.75/35.35 % Search class: FGHSM-SMLM32-DFFFFFNN
% 204.75/35.35 % Scheduled 13 strats onto 3 cores with 887 seconds (887 total)
% 204.75/35.35 % Starting SubtermCWHack with 80s (1) cores
% 204.75/35.35 % Starting new_bool_3 with 89s (1) cores
% 204.75/35.35 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 67s (1) cores
% 204.75/35.35 % G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with pid 1167834 completed with status 0
% 204.75/35.35 % Result found by G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI
% 204.75/35.35 % Preprocessing class: FMLLMLLLSSSNFFN.
% 204.75/35.35 % Scheduled 4 strats onto 8 cores with 296 seconds (2368 total)
% 204.75/35.35 % Starting new_bool_3 with 888s (3) cores
% 204.75/35.35 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 204.75/35.35 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 204.75/35.35 % Search class: FGHSM-SMLM32-DFFFFFNN
% 204.75/35.35 % Scheduled 13 strats onto 3 cores with 887 seconds (887 total)
% 204.75/35.35 % Starting SubtermCWHack with 80s (1) cores
% 204.75/35.35 % Starting new_bool_3 with 89s (1) cores
% 204.75/35.35 % Starting G-E--_008_C45_F1_PI_SE_Q4_CS_SP_S4SI with 67s (1) cores
% 204.75/35.35 % Preprocessing time : 0.478 s
% 204.75/35.35
% 204.75/35.35 % Proof found!
% 204.75/35.35 % SZS status Theorem
% 204.75/35.35 % SZS output start CNFRefutation
% See solution above
% 204.75/35.35 % Parsed axioms : 66056
% 204.75/35.35 % Removed by relevancy pruning/SinE : 61875
% 204.75/35.35 % Initial clauses : 10348
% 204.75/35.35 % Removed in clause preprocessing : 298
% 204.75/35.35 % Initial clauses in saturation : 10050
% 204.75/35.35 % Processed clauses : 10161
% 204.75/35.35 % ...of these trivial : 165
% 204.75/35.35 % ...subsumed : 777
% 204.75/35.35 % ...remaining for further processing : 9219
% 204.75/35.35 % Other redundant clauses eliminated : 1209
% 204.75/35.35 % Clauses deleted for lack of memory : 0
% 204.75/35.35 % Backward-subsumed : 13
% 204.75/35.35 % Backward-rewritten : 93
% 204.75/35.35 % Generated clauses : 244542
% 204.75/35.35 % ...of the previous two non-redundant : 239702
% 204.75/35.35 % ...aggressively subsumed : 0
% 204.75/35.35 % Contextual simplify-reflections : 831
% 204.75/35.35 % Paramodulations : 243192
% 204.75/35.35 % Factorizations : 72
% 204.75/35.35 % NegExts : 0
% 204.75/35.35 % Equation resolutions : 1389
% 204.75/35.35 % Disequality decompositions : 0
% 204.75/35.35 % Total rewrite steps : 38734
% 204.75/35.35 % ...of those cached : 36849
% 204.75/35.35 % Propositional unsat checks : 0
% 204.75/35.35 % Propositional check models : 0
% 204.75/35.35 % Propositional check unsatisfiable : 0
% 204.75/35.35 % Propositional clauses : 0
% 204.75/35.35 % Propositional clauses after purity: 0
% 204.75/35.35 % Propositional unsat core size : 0
% 204.75/35.35 % Propositional preprocessing time : 0.000
% 204.75/35.35 % Propositional encoding time : 0.000
% 204.75/35.35 % Propositional solver time : 0.000
% 204.75/35.35 % Success case prop preproc time : 0.000
% 204.75/35.35 % Success case prop encoding time : 0.000
% 204.75/35.35 % Success case prop solver time : 0.000
% 204.75/35.35 % Current number of processed clauses : 8448
% 204.75/35.35 % Positive orientable unit clauses : 808
% 204.75/35.35 % Positive unorientable unit clauses: 4
% 204.75/35.35 % Negative unit clauses : 170
% 204.75/35.35 % Non-unit-clauses : 7466
% 204.75/35.35 % Current number of unprocessed clauses: 239581
% 204.75/35.35 % ...number of literals in the above : 1362920
% 204.75/35.35 % Current number of archived formulas : 0
% 204.75/35.35 % Current number of archived clauses : 106
% 204.75/35.35 % Clause-clause subsumption calls (NU) : 38178372
% 204.75/35.35 % Rec. Clause-clause subsumption calls : 1550346
% 204.75/35.35 % Non-unit clause-clause subsumptions : 1522
% 204.75/35.35 % Unit Clause-clause subsumption calls : 134973
% 204.75/35.35 % Rewrite failures with RHS unbound : 0
% 204.75/35.35 % BW rewrite match attempts : 105
% 204.75/35.35 % BW rewrite match successes : 74
% 204.75/35.35 % Condensation attempts : 0
% 204.75/35.35 % Condensation successes : 0
% 204.75/35.35 % Termbank termtop insertions : 8259713
% 204.75/35.35 % Search garbage collected termcells : 879426
% 204.75/35.35
% 204.75/35.35 % -------------------------------------------------
% 204.75/35.35 % User time : 28.913 s
% 204.75/35.35 % System time : 0.681 s
% 204.75/35.35 % Total time : 29.594 s
% 204.75/35.35 % Maximum resident set size: 146156 pages
% 204.75/35.35
% 204.75/35.35 % -------------------------------------------------
% 204.75/35.35 % User time : 88.365 s
% 204.75/35.35 % System time : 1.913 s
% 204.75/35.35 % Total time : 90.278 s
% 204.75/35.35 % Maximum resident set size: 112384 pages
% 204.75/35.35 % E exiting
%------------------------------------------------------------------------------