TSTP Solution File: GRP618+3 by ET---2.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ET---2.0
% Problem : GRP618+3 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_ET %s %d
% Computer : n022.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 : 600s
% DateTime : Sat Jul 16 09:02:24 EDT 2022
% Result : Theorem 0.67s 1.86s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 60 ( 13 unt; 0 def)
% Number of atoms : 304 ( 0 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 396 ( 152 ~; 165 |; 41 &)
% ( 3 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 99 ( 1 sgn 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t1_autgroup,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
<=> v1_group_3(X2,X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t1_autgroup) ).
fof(t49_group_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) )
=> ! [X3] :
( m1_group_2(X3,X2)
=> ( r1_rlvect_1(X3,X1)
=> r1_rlvect_1(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+246.ax',t49_group_2) ).
fof(d1_rlvect_1,axiom,
! [X1] :
( l1_struct_0(X1)
=> ! [X2] :
( r1_rlvect_1(X1,X2)
<=> r2_hidden(X2,u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',d1_rlvect_1) ).
fof(dt_l1_group_1,axiom,
! [X1] :
( l1_group_1(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+212.ax',dt_l1_group_1) ).
fof(t3_rlvect_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> r1_rlvect_1(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+210.ax',t3_rlvect_1) ).
fof(dt_m1_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ~ v3_struct_0(X2)
& v3_group_1(X2)
& l1_group_1(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+246.ax',dt_m1_group_2) ).
fof(t1_subset,axiom,
! [X1,X2] :
( r2_hidden(X1,X2)
=> m1_subset_1(X1,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+9.ax',t1_subset) ).
fof(l1_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
=> v1_group_3(X2,X1) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l1_autgroup) ).
fof(l2_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( v1_group_3(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) ) ) ) ),
file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l2_autgroup) ).
fof(t51_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X2))
=> m1_subset_1(X3,u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+246.ax',t51_group_2) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> ( ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( m1_subset_1(X4,u1_struct_0(X2))
=> r1_rlvect_1(X2,k2_group_3(X1,X4,X3)) ) ) )
<=> v1_group_3(X2,X1) ) ) ),
inference(assume_negation,[status(cth)],[t1_autgroup]) ).
fof(c_0_11,plain,
! [X4,X5,X6] :
( v3_struct_0(X5)
| ~ v3_group_1(X5)
| ~ l1_group_1(X5)
| ~ m1_group_2(X6,X5)
| ~ r1_rlvect_1(X6,X4)
| r1_rlvect_1(X5,X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t49_group_2])])])])])]) ).
fof(c_0_12,negated_conjecture,
! [X9,X10] :
( ~ v3_struct_0(esk1_0)
& v1_group_1(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& m1_group_2(esk2_0,esk1_0)
& ( m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| ~ v1_group_3(esk2_0,esk1_0) )
& ( m1_subset_1(esk4_0,u1_struct_0(esk1_0))
| ~ v1_group_3(esk2_0,esk1_0) )
& ( m1_subset_1(esk4_0,u1_struct_0(esk2_0))
| ~ v1_group_3(esk2_0,esk1_0) )
& ( ~ r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk4_0,esk3_0))
| ~ v1_group_3(esk2_0,esk1_0) )
& ( ~ m1_subset_1(X9,u1_struct_0(esk1_0))
| ~ m1_subset_1(X10,u1_struct_0(esk1_0))
| ~ m1_subset_1(X10,u1_struct_0(esk2_0))
| r1_rlvect_1(esk2_0,k2_group_3(esk1_0,X10,X9))
| v1_group_3(esk2_0,esk1_0) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_10])])])])])])])]) ).
fof(c_0_13,plain,
! [X3,X4,X4] :
( ( ~ r1_rlvect_1(X3,X4)
| r2_hidden(X4,u1_struct_0(X3))
| ~ l1_struct_0(X3) )
& ( ~ r2_hidden(X4,u1_struct_0(X3))
| r1_rlvect_1(X3,X4)
| ~ l1_struct_0(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d1_rlvect_1])])])])])]) ).
cnf(c_0_14,plain,
( r1_rlvect_1(X1,X2)
| v3_struct_0(X1)
| ~ r1_rlvect_1(X3,X2)
| ~ m1_group_2(X3,X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_16,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_18,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_19,plain,
( r2_hidden(X2,u1_struct_0(X1))
| ~ l1_struct_0(X1)
| ~ r1_rlvect_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
( r1_rlvect_1(esk1_0,X1)
| ~ r1_rlvect_1(esk2_0,X1) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_14,c_0_15]),c_0_16]),c_0_17])]),c_0_18]) ).
fof(c_0_21,plain,
! [X2] :
( ~ l1_group_1(X2)
| l1_struct_0(X2) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_group_1])]) ).
fof(c_0_22,plain,
! [X3,X4] :
( v3_struct_0(X3)
| ~ l1_struct_0(X3)
| ~ m1_subset_1(X4,u1_struct_0(X3))
| r1_rlvect_1(X3,X4) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t3_rlvect_1])])])])])]) ).
fof(c_0_23,plain,
! [X3,X4] :
( ( ~ v3_struct_0(X4)
| ~ m1_group_2(X4,X3)
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) )
& ( v3_group_1(X4)
| ~ m1_group_2(X4,X3)
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) )
& ( l1_group_1(X4)
| ~ m1_group_2(X4,X3)
| v3_struct_0(X3)
| ~ v3_group_1(X3)
| ~ l1_group_1(X3) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[dt_m1_group_2])])])])])])]) ).
cnf(c_0_24,negated_conjecture,
( r2_hidden(X1,u1_struct_0(esk1_0))
| ~ r1_rlvect_1(esk2_0,X1)
| ~ l1_struct_0(esk1_0) ),
inference(spm,[status(thm)],[c_0_19,c_0_20]) ).
cnf(c_0_25,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_26,plain,
( r1_rlvect_1(X1,X2)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ l1_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_27,plain,
( v3_struct_0(X1)
| l1_group_1(X2)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_28,plain,
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ v3_struct_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
fof(c_0_29,plain,
! [X3,X4] :
( ~ r2_hidden(X3,X4)
| m1_subset_1(X3,X4) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t1_subset])]) ).
cnf(c_0_30,negated_conjecture,
( r2_hidden(X1,u1_struct_0(esk1_0))
| ~ r1_rlvect_1(esk2_0,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_17])]) ).
cnf(c_0_31,plain,
( r1_rlvect_1(X1,X2)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(spm,[status(thm)],[c_0_26,c_0_25]) ).
cnf(c_0_32,negated_conjecture,
l1_group_1(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_15]),c_0_16]),c_0_17])]),c_0_18]) ).
cnf(c_0_33,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_15]),c_0_16]),c_0_17])]),c_0_18]) ).
fof(c_0_34,plain,
! [X5,X6] :
( ( m1_subset_1(esk10_2(X5,X6),u1_struct_0(X5))
| v1_group_3(X6,X5)
| ~ m1_group_2(X6,X5)
| v3_struct_0(X5)
| ~ v1_group_1(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) )
& ( m1_subset_1(esk11_2(X5,X6),u1_struct_0(X5))
| v1_group_3(X6,X5)
| ~ m1_group_2(X6,X5)
| v3_struct_0(X5)
| ~ v1_group_1(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) )
& ( m1_subset_1(esk11_2(X5,X6),u1_struct_0(X6))
| v1_group_3(X6,X5)
| ~ m1_group_2(X6,X5)
| v3_struct_0(X5)
| ~ v1_group_1(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) )
& ( ~ r1_rlvect_1(X6,k2_group_3(X5,esk11_2(X5,X6),esk10_2(X5,X6)))
| v1_group_3(X6,X5)
| ~ m1_group_2(X6,X5)
| v3_struct_0(X5)
| ~ v1_group_1(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[l1_autgroup])])])])])])])]) ).
cnf(c_0_35,plain,
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
( r2_hidden(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]),c_0_33]) ).
cnf(c_0_37,negated_conjecture,
( v1_group_3(esk2_0,esk1_0)
| r1_rlvect_1(esk2_0,k2_group_3(esk1_0,X1,X2))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0))
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_38,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk10_2(X1,X2),u1_struct_0(X1))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_39,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_40,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_41,negated_conjecture,
( m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_35,c_0_36]) ).
cnf(c_0_42,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ r1_rlvect_1(X2,k2_group_3(X1,esk11_2(X1,X2),esk10_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,negated_conjecture,
( v1_group_3(esk2_0,esk1_0)
| v1_group_3(X1,esk1_0)
| r1_rlvect_1(esk2_0,k2_group_3(esk1_0,X2,esk10_2(esk1_0,X1)))
| ~ m1_group_2(X1,esk1_0)
| ~ m1_subset_1(X2,u1_struct_0(esk2_0)) ),
inference(csr,[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_37,c_0_38]),c_0_39]),c_0_16]),c_0_40]),c_0_17])]),c_0_18]),c_0_41]) ).
fof(c_0_44,plain,
! [X5,X6,X7,X8] :
( v3_struct_0(X5)
| ~ v1_group_1(X5)
| ~ v3_group_1(X5)
| ~ v4_group_1(X5)
| ~ l1_group_1(X5)
| ~ m1_group_2(X6,X5)
| ~ v1_group_3(X6,X5)
| ~ m1_subset_1(X7,u1_struct_0(X5))
| ~ m1_subset_1(X8,u1_struct_0(X5))
| ~ m1_subset_1(X8,u1_struct_0(X6))
| r1_rlvect_1(X6,k2_group_3(X5,X8,X7)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[l2_autgroup])])])])])]) ).
fof(c_0_45,plain,
! [X4,X5,X6] :
( v3_struct_0(X4)
| ~ v3_group_1(X4)
| ~ l1_group_1(X4)
| ~ m1_group_2(X5,X4)
| ~ m1_subset_1(X6,u1_struct_0(X5))
| m1_subset_1(X6,u1_struct_0(X4)) ),
inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[t51_group_2])])])])])]) ).
cnf(c_0_46,negated_conjecture,
( v1_group_3(esk2_0,esk1_0)
| ~ m1_subset_1(esk11_2(esk1_0,esk2_0),u1_struct_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(spm,[status(thm)],[c_0_42,c_0_43]),c_0_15]),c_0_39]),c_0_16]),c_0_40]),c_0_17])]),c_0_18]) ).
cnf(c_0_47,plain,
( v3_struct_0(X1)
| v1_group_3(X2,X1)
| m1_subset_1(esk11_2(X1,X2),u1_struct_0(X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_48,plain,
( r1_rlvect_1(X1,k2_group_3(X2,X3,X4))
| v3_struct_0(X2)
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X2))
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ v1_group_3(X1,X2)
| ~ m1_group_2(X1,X2)
| ~ l1_group_1(X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_44]) ).
cnf(c_0_49,plain,
( m1_subset_1(X1,u1_struct_0(X2))
| v3_struct_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(X3))
| ~ m1_group_2(X3,X2)
| ~ l1_group_1(X2)
| ~ v3_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_50,negated_conjecture,
( ~ v1_group_3(esk2_0,esk1_0)
| ~ r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk4_0,esk3_0)) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_51,negated_conjecture,
v1_group_3(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(spm,[status(thm)],[c_0_46,c_0_47]),c_0_15]),c_0_39]),c_0_16]),c_0_40]),c_0_17])]),c_0_18]) ).
cnf(c_0_52,plain,
( r1_rlvect_1(X1,k2_group_3(X2,X3,X4))
| v3_struct_0(X2)
| ~ v1_group_3(X1,X2)
| ~ m1_group_2(X1,X2)
| ~ v4_group_1(X2)
| ~ v3_group_1(X2)
| ~ v1_group_1(X2)
| ~ l1_group_1(X2)
| ~ m1_subset_1(X4,u1_struct_0(X2))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[c_0_48,c_0_49]) ).
cnf(c_0_53,negated_conjecture,
( m1_subset_1(esk3_0,u1_struct_0(esk1_0))
| ~ v1_group_3(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_54,negated_conjecture,
( m1_subset_1(esk4_0,u1_struct_0(esk2_0))
| ~ v1_group_3(esk2_0,esk1_0) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_55,negated_conjecture,
~ r1_rlvect_1(esk2_0,k2_group_3(esk1_0,esk4_0,esk3_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_51])]) ).
cnf(c_0_56,negated_conjecture,
( r1_rlvect_1(esk2_0,k2_group_3(esk1_0,X1,X2))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0))
| ~ m1_subset_1(X1,u1_struct_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(spm,[status(thm)],[c_0_52,c_0_51]),c_0_15]),c_0_39]),c_0_16]),c_0_40]),c_0_17])]),c_0_18]) ).
cnf(c_0_57,negated_conjecture,
m1_subset_1(esk3_0,u1_struct_0(esk1_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_51])]) ).
cnf(c_0_58,negated_conjecture,
m1_subset_1(esk4_0,u1_struct_0(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_51])]) ).
cnf(c_0_59,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_56]),c_0_57]),c_0_58])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.07 % Problem : GRP618+3 : TPTP v8.1.0. Released v3.4.0.
% 0.04/0.07 % Command : run_ET %s %d
% 0.07/0.26 % Computer : n022.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Mon Jun 13 21:35:19 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.67/1.86 # Running protocol protocol_eprover_4a02c828a8cc55752123edbcc1ad40e453c11447 for 23 seconds:
% 0.67/1.86 # SinE strategy is GSinE(CountFormulas,hypos,1.4,,04,100,1.0)
% 0.67/1.86 # Preprocessing time : 0.444 s
% 0.67/1.86
% 0.67/1.86 # Proof found!
% 0.67/1.86 # SZS status Theorem
% 0.67/1.86 # SZS output start CNFRefutation
% See solution above
% 0.67/1.86 # Proof object total steps : 60
% 0.67/1.86 # Proof object clause steps : 39
% 0.67/1.86 # Proof object formula steps : 21
% 0.67/1.86 # Proof object conjectures : 28
% 0.67/1.86 # Proof object clause conjectures : 25
% 0.67/1.86 # Proof object formula conjectures : 3
% 0.67/1.86 # Proof object initial clauses used : 22
% 0.67/1.86 # Proof object initial formulas used : 10
% 0.67/1.86 # Proof object generating inferences : 13
% 0.67/1.86 # Proof object simplifying inferences : 55
% 0.67/1.86 # Training examples: 0 positive, 0 negative
% 0.67/1.86 # Parsed axioms : 12875
% 0.67/1.86 # Removed by relevancy pruning/SinE : 12774
% 0.67/1.86 # Initial clauses : 260
% 0.67/1.86 # Removed in clause preprocessing : 17
% 0.67/1.86 # Initial clauses in saturation : 243
% 0.67/1.86 # Processed clauses : 1653
% 0.67/1.86 # ...of these trivial : 2
% 0.67/1.86 # ...subsumed : 762
% 0.67/1.86 # ...remaining for further processing : 889
% 0.67/1.86 # Other redundant clauses eliminated : 4
% 0.67/1.86 # Clauses deleted for lack of memory : 0
% 0.67/1.86 # Backward-subsumed : 57
% 0.67/1.86 # Backward-rewritten : 47
% 0.67/1.86 # Generated clauses : 6072
% 0.67/1.86 # ...of the previous two non-trivial : 4933
% 0.67/1.86 # Contextual simplify-reflections : 690
% 0.67/1.86 # Paramodulations : 6046
% 0.67/1.86 # Factorizations : 4
% 0.67/1.86 # Equation resolutions : 20
% 0.67/1.86 # Current number of processed clauses : 783
% 0.67/1.86 # Positive orientable unit clauses : 48
% 0.67/1.86 # Positive unorientable unit clauses: 0
% 0.67/1.86 # Negative unit clauses : 17
% 0.67/1.86 # Non-unit-clauses : 718
% 0.67/1.86 # Current number of unprocessed clauses: 2952
% 0.67/1.86 # ...number of literals in the above : 18512
% 0.67/1.86 # Current number of archived formulas : 0
% 0.67/1.86 # Current number of archived clauses : 106
% 0.67/1.86 # Clause-clause subsumption calls (NU) : 216454
% 0.67/1.86 # Rec. Clause-clause subsumption calls : 61577
% 0.67/1.86 # Non-unit clause-clause subsumptions : 1169
% 0.67/1.86 # Unit Clause-clause subsumption calls : 4014
% 0.67/1.86 # Rewrite failures with RHS unbound : 0
% 0.67/1.86 # BW rewrite match attempts : 6
% 0.67/1.86 # BW rewrite match successes : 6
% 0.67/1.86 # Condensation attempts : 0
% 0.67/1.86 # Condensation successes : 0
% 0.67/1.86 # Termbank termtop insertions : 450564
% 0.67/1.86
% 0.67/1.86 # -------------------------------------------------
% 0.67/1.86 # User time : 0.679 s
% 0.67/1.86 # System time : 0.021 s
% 0.67/1.86 # Total time : 0.700 s
% 0.67/1.86 # Maximum resident set size: 36404 pages
% 0.67/23.86 eprover: CPU time limit exceeded, terminating
% 0.67/23.86 eprover: CPU time limit exceeded, terminating
% 0.67/23.87 eprover: CPU time limit exceeded, terminating
% 0.67/23.88 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.67/23.88 eprover: No such file or directory
% 0.67/23.89 eprover: eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.89 Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.67/23.89 eprover: No such file or directory
% 0.67/23.89 eprover: No such file or directory
% 0.67/23.89 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.89 eprover: No such file or directory
% 0.67/23.89 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.89 eprover: No such file or directory
% 0.67/23.89 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.67/23.89 eprover: No such file or directory
% 0.67/23.89 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.89 eprover: No such file or directory
% 0.67/23.90 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.90 eprover: No such file or directory
% 0.67/23.90 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.67/23.90 eprover: No such file or directory
% 0.67/23.90 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.90 eprover: No such file or directory
% 0.67/23.90 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.67/23.90 eprover: No such file or directory
% 0.67/23.90 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.90 eprover: No such file or directory
% 0.67/23.90 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.90 eprover: No such file or directory
% 0.67/23.91 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.91 eprover: No such file or directory
% 0.67/23.91 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.67/23.91 eprover: No such file or directory
% 0.67/23.91 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.91 eprover: No such file or directory
% 0.67/23.91 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.91 eprover: No such file or directory
% 0.67/23.91 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.91 eprover: No such file or directory
% 0.67/23.91 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.67/23.91 eprover: No such file or directory
% 0.67/23.91 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.91 eprover: No such file or directory
% 0.67/23.92 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.92 eprover: No such file or directory
% 0.67/23.92 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.67/23.92 eprover: No such file or directory
% 0.67/23.92 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.92 eprover: No such file or directory
% 0.67/23.92 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.92 eprover: No such file or directory
% 0.67/23.92 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.92 eprover: No such file or directory
% 0.67/23.92 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.67/23.92 eprover: No such file or directory
% 0.67/23.93 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.93 eprover: No such file or directory
% 0.67/23.93 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.93 eprover: No such file or directory
% 0.67/23.93 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.67/23.93 eprover: No such file or directory
% 0.67/23.93 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.67/23.93 eprover: No such file or directory
% 0.67/23.93 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.93 eprover: No such file or directory
% 0.67/23.93 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.93 eprover: No such file or directory
% 0.67/23.94 eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.67/23.94 eprover: No such file or directory
%------------------------------------------------------------------------------