TSTP Solution File: GRP631+4 by E---3.1
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- Process Solution
%------------------------------------------------------------------------------
% File : E---3.1
% Problem : GRP631+4 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n027.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 : 2400s
% WCLimit : 300s
% DateTime : Tue Oct 10 17:42:23 EDT 2023
% Result : Theorem 68.48s 26.73s
% Output : CNFRefutation 68.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 16
% Syntax : Number of formulae : 91 ( 23 unt; 0 def)
% Number of atoms : 542 ( 125 equ)
% Maximal formula atoms : 56 ( 5 avg)
% Number of connectives : 701 ( 250 ~; 270 |; 123 &)
% ( 6 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 3 con; 0-5 aty)
% Number of variables : 167 ( 8 sgn; 96 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t15_group_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( k1_group_1(X1,X2,X3) = X2
| k1_group_1(X1,X3,X2) = X2 )
=> X3 = k2_group_1(X1) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.zyx1u6YNaV/E---3.1_21284.p',t15_group_1) ).
fof(d3_group_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1) )
=> ( v3_group_1(X1)
<=> ? [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( k1_group_1(X1,X3,X2) = X3
& k1_group_1(X1,X2,X3) = X3
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& k1_group_1(X1,X3,X4) = X2
& k1_group_1(X1,X4,X3) = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.zyx1u6YNaV/E---3.1_21284.p',d3_group_1) ).
fof(t29_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_subset_1(X2,u1_struct_0(X1))
=> ( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,k2_group_1(X1)),k6_autgroup(X1,X2)) = k6_autgroup(X1,X2)
& k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,k2_group_1(X1))) = k6_autgroup(X1,X2) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.zyx1u6YNaV/E---3.1_21284.p',t29_autgroup) ).
fof(t22_group_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( k1_group_1(X1,X2,X3) = X4
<=> X2 = k1_group_1(X1,X4,k3_group_1(X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.zyx1u6YNaV/E---3.1_21284.p',t22_group_1) ).
fof(t24_autgroup,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.zyx1u6YNaV/E---3.1_21284.p',t24_autgroup) ).
fof(t1_group_3,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( k1_group_1(X1,k1_group_1(X1,X2,X3),k3_group_1(X1,X3)) = X2
& k1_group_1(X1,k1_group_1(X1,X2,k3_group_1(X1,X3)),X3) = X2
& k1_group_1(X1,k1_group_1(X1,k3_group_1(X1,X3),X3),X2) = X2
& k1_group_1(X1,k1_group_1(X1,X3,k3_group_1(X1,X3)),X2) = X2
& k1_group_1(X1,X2,k1_group_1(X1,X3,k3_group_1(X1,X3))) = X2
& k1_group_1(X1,X2,k1_group_1(X1,k3_group_1(X1,X3),X3)) = X2
& k1_group_1(X1,k3_group_1(X1,X3),k1_group_1(X1,X3,X2)) = X2
& k1_group_1(X1,X3,k1_group_1(X1,k3_group_1(X1,X3),X2)) = X2 ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.zyx1u6YNaV/E---3.1_21284.p',t1_group_3) ).
fof(dt_k8_funct_2,axiom,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> m1_subset_1(k8_funct_2(X1,X2,X3,X4),X2) ),
file('/export/starexec/sandbox2/tmp/tmp.zyx1u6YNaV/E---3.1_21284.p',dt_k8_funct_2) ).
fof(redefinition_k6_partfun1,axiom,
! [X1] : k6_partfun1(X1) = k6_relat_1(X1),
file('/export/starexec/sandbox2/tmp/tmp.zyx1u6YNaV/E---3.1_21284.p',redefinition_k6_partfun1) ).
fof(t23_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_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k6_autgroup(X1,k1_group_1(X1,X2,X3)) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,X3)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.zyx1u6YNaV/E---3.1_21284.p',t23_autgroup) ).
fof(dt_k2_group_1,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1) )
=> m1_subset_1(k2_group_1(X1),u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/tmp/tmp.zyx1u6YNaV/E---3.1_21284.p',dt_k2_group_1) ).
fof(rc1_funct_2,axiom,
! [X1,X2] :
? [X3] :
( m1_relset_1(X3,X1,X2)
& v1_relat_1(X3)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.zyx1u6YNaV/E---3.1_21284.p',rc1_funct_2) ).
fof(t27_group_3,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( k2_group_3(X1,X2,X3) = X2
<=> k1_group_1(X1,X2,X3) = k1_group_1(X1,X3,X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.zyx1u6YNaV/E---3.1_21284.p',t27_group_3) ).
fof(t24_group_3,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k2_group_3(X1,X2,k2_group_1(X1)) = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.zyx1u6YNaV/E---3.1_21284.p',t24_group_3) ).
fof(existence_m1_subset_1,axiom,
! [X1] :
? [X2] : m1_subset_1(X2,X1),
file('/export/starexec/sandbox2/tmp/tmp.zyx1u6YNaV/E---3.1_21284.p',existence_m1_subset_1) ).
fof(t8_boole,axiom,
! [X1,X2] :
~ ( v1_xboole_0(X1)
& X1 != X2
& v1_xboole_0(X2) ),
file('/export/starexec/sandbox2/tmp/tmp.zyx1u6YNaV/E---3.1_21284.p',t8_boole) ).
fof(rc1_xboole_0,axiom,
? [X1] : v1_xboole_0(X1),
file('/export/starexec/sandbox2/tmp/tmp.zyx1u6YNaV/E---3.1_21284.p',rc1_xboole_0) ).
fof(c_0_16,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( ( k1_group_1(X1,X2,X3) = X2
| k1_group_1(X1,X3,X2) = X2 )
=> X3 = k2_group_1(X1) ) ) ) ),
inference(fof_simplification,[status(thm)],[t15_group_1]) ).
fof(c_0_17,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1) )
=> ( v3_group_1(X1)
<=> ? [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
& ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( k1_group_1(X1,X3,X2) = X3
& k1_group_1(X1,X2,X3) = X3
& ? [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
& k1_group_1(X1,X3,X4) = X2
& k1_group_1(X1,X4,X3) = X2 ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d3_group_1]) ).
fof(c_0_18,plain,
! [X99,X100,X101] :
( ( k1_group_1(X99,X100,X101) != X100
| X101 = k2_group_1(X99)
| ~ m1_subset_1(X101,u1_struct_0(X99))
| ~ m1_subset_1(X100,u1_struct_0(X99))
| v3_struct_0(X99)
| ~ v3_group_1(X99)
| ~ v4_group_1(X99)
| ~ l1_group_1(X99) )
& ( k1_group_1(X99,X101,X100) != X100
| X101 = k2_group_1(X99)
| ~ m1_subset_1(X101,u1_struct_0(X99))
| ~ m1_subset_1(X100,u1_struct_0(X99))
| v3_struct_0(X99)
| ~ v3_group_1(X99)
| ~ v4_group_1(X99)
| ~ l1_group_1(X99) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_16])])])]) ).
fof(c_0_19,plain,
! [X284,X286,X288,X290] :
( ( m1_subset_1(esk29_1(X284),u1_struct_0(X284))
| ~ v3_group_1(X284)
| v3_struct_0(X284)
| ~ l1_group_1(X284) )
& ( k1_group_1(X284,X286,esk29_1(X284)) = X286
| ~ m1_subset_1(X286,u1_struct_0(X284))
| ~ v3_group_1(X284)
| v3_struct_0(X284)
| ~ l1_group_1(X284) )
& ( k1_group_1(X284,esk29_1(X284),X286) = X286
| ~ m1_subset_1(X286,u1_struct_0(X284))
| ~ v3_group_1(X284)
| v3_struct_0(X284)
| ~ l1_group_1(X284) )
& ( m1_subset_1(esk30_2(X284,X286),u1_struct_0(X284))
| ~ m1_subset_1(X286,u1_struct_0(X284))
| ~ v3_group_1(X284)
| v3_struct_0(X284)
| ~ l1_group_1(X284) )
& ( k1_group_1(X284,X286,esk30_2(X284,X286)) = esk29_1(X284)
| ~ m1_subset_1(X286,u1_struct_0(X284))
| ~ v3_group_1(X284)
| v3_struct_0(X284)
| ~ l1_group_1(X284) )
& ( k1_group_1(X284,esk30_2(X284,X286),X286) = esk29_1(X284)
| ~ m1_subset_1(X286,u1_struct_0(X284))
| ~ v3_group_1(X284)
| v3_struct_0(X284)
| ~ l1_group_1(X284) )
& ( m1_subset_1(esk31_2(X284,X288),u1_struct_0(X284))
| ~ m1_subset_1(X288,u1_struct_0(X284))
| v3_group_1(X284)
| v3_struct_0(X284)
| ~ l1_group_1(X284) )
& ( k1_group_1(X284,esk31_2(X284,X288),X288) != esk31_2(X284,X288)
| k1_group_1(X284,X288,esk31_2(X284,X288)) != esk31_2(X284,X288)
| ~ m1_subset_1(X290,u1_struct_0(X284))
| k1_group_1(X284,esk31_2(X284,X288),X290) != X288
| k1_group_1(X284,X290,esk31_2(X284,X288)) != X288
| ~ m1_subset_1(X288,u1_struct_0(X284))
| v3_group_1(X284)
| v3_struct_0(X284)
| ~ l1_group_1(X284) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_17])])])])]) ).
fof(c_0_20,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_subset_1(X2,u1_struct_0(X1))
=> ( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,k2_group_1(X1)),k6_autgroup(X1,X2)) = k6_autgroup(X1,X2)
& k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,k2_group_1(X1))) = k6_autgroup(X1,X2) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t29_autgroup])]) ).
fof(c_0_21,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( k1_group_1(X1,X2,X3) = X4
<=> X2 = k1_group_1(X1,X4,k3_group_1(X1,X3)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t22_group_1]) ).
cnf(c_0_22,plain,
( X3 = k2_group_1(X1)
| v3_struct_0(X1)
| k1_group_1(X1,X2,X3) != X2
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_23,plain,
( k1_group_1(X1,X2,esk29_1(X1)) = X2
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_24,plain,
( m1_subset_1(esk29_1(X1),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_25,negated_conjecture,
( ~ 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_subset_1(esk2_0,u1_struct_0(esk1_0))
& ( k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,k2_group_1(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0)
| k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k2_group_1(esk1_0))) != k6_autgroup(esk1_0,esk2_0) ) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])]) ).
fof(c_0_26,plain,
! [X387,X388,X389,X390] :
( ( k1_group_1(X387,X388,X389) != X390
| X388 = k1_group_1(X387,X390,k3_group_1(X387,X389))
| ~ m1_subset_1(X390,u1_struct_0(X387))
| ~ m1_subset_1(X389,u1_struct_0(X387))
| ~ m1_subset_1(X388,u1_struct_0(X387))
| v3_struct_0(X387)
| ~ v3_group_1(X387)
| ~ v4_group_1(X387)
| ~ l1_group_1(X387) )
& ( X388 != k1_group_1(X387,X390,k3_group_1(X387,X389))
| k1_group_1(X387,X388,X389) = X390
| ~ m1_subset_1(X390,u1_struct_0(X387))
| ~ m1_subset_1(X389,u1_struct_0(X387))
| ~ m1_subset_1(X388,u1_struct_0(X387))
| v3_struct_0(X387)
| ~ v3_group_1(X387)
| ~ v4_group_1(X387)
| ~ l1_group_1(X387) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_21])])])]) ).
fof(c_0_27,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[t24_autgroup]) ).
fof(c_0_28,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( k1_group_1(X1,k1_group_1(X1,X2,X3),k3_group_1(X1,X3)) = X2
& k1_group_1(X1,k1_group_1(X1,X2,k3_group_1(X1,X3)),X3) = X2
& k1_group_1(X1,k1_group_1(X1,k3_group_1(X1,X3),X3),X2) = X2
& k1_group_1(X1,k1_group_1(X1,X3,k3_group_1(X1,X3)),X2) = X2
& k1_group_1(X1,X2,k1_group_1(X1,X3,k3_group_1(X1,X3))) = X2
& k1_group_1(X1,X2,k1_group_1(X1,k3_group_1(X1,X3),X3)) = X2
& k1_group_1(X1,k3_group_1(X1,X3),k1_group_1(X1,X3,X2)) = X2
& k1_group_1(X1,X3,k1_group_1(X1,k3_group_1(X1,X3),X2)) = X2 ) ) ) ),
inference(fof_simplification,[status(thm)],[t1_group_3]) ).
cnf(c_0_29,plain,
( esk29_1(X1) = k2_group_1(X1)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22,c_0_23]),c_0_24]) ).
cnf(c_0_30,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_31,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_32,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_33,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_34,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_35,plain,
( X2 = k1_group_1(X1,X4,k3_group_1(X1,X3))
| v3_struct_0(X1)
| k1_group_1(X1,X2,X3) != X4
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_36,plain,
( k1_group_1(X1,esk29_1(X1),X2) = X2
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
fof(c_0_37,plain,
! [X1,X2,X3,X4] :
( ( ~ v1_xboole_0(X1)
& v1_funct_1(X3)
& v1_funct_2(X3,X1,X2)
& m1_relset_1(X3,X1,X2)
& m1_subset_1(X4,X1) )
=> m1_subset_1(k8_funct_2(X1,X2,X3,X4),X2) ),
inference(fof_simplification,[status(thm)],[dt_k8_funct_2]) ).
fof(c_0_38,plain,
! [X64] :
( v3_struct_0(X64)
| ~ v1_group_1(X64)
| ~ v3_group_1(X64)
| ~ v4_group_1(X64)
| ~ l1_group_1(X64)
| k6_autgroup(X64,k2_group_1(X64)) = k6_partfun1(u1_struct_0(X64)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])]) ).
fof(c_0_39,plain,
! [X347] : k6_partfun1(X347) = k6_relat_1(X347),
inference(variable_rename,[status(thm)],[redefinition_k6_partfun1]) ).
fof(c_0_40,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v1_group_1(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> k6_autgroup(X1,k1_group_1(X1,X2,X3)) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,X3)) ) ) ),
inference(fof_simplification,[status(thm)],[t23_autgroup]) ).
fof(c_0_41,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_group_1(X1) )
=> m1_subset_1(k2_group_1(X1),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k2_group_1]) ).
fof(c_0_42,plain,
! [X429,X430,X431] :
( ( k1_group_1(X429,k1_group_1(X429,X430,X431),k3_group_1(X429,X431)) = X430
| ~ m1_subset_1(X431,u1_struct_0(X429))
| ~ m1_subset_1(X430,u1_struct_0(X429))
| v3_struct_0(X429)
| ~ v3_group_1(X429)
| ~ v4_group_1(X429)
| ~ l1_group_1(X429) )
& ( k1_group_1(X429,k1_group_1(X429,X430,k3_group_1(X429,X431)),X431) = X430
| ~ m1_subset_1(X431,u1_struct_0(X429))
| ~ m1_subset_1(X430,u1_struct_0(X429))
| v3_struct_0(X429)
| ~ v3_group_1(X429)
| ~ v4_group_1(X429)
| ~ l1_group_1(X429) )
& ( k1_group_1(X429,k1_group_1(X429,k3_group_1(X429,X431),X431),X430) = X430
| ~ m1_subset_1(X431,u1_struct_0(X429))
| ~ m1_subset_1(X430,u1_struct_0(X429))
| v3_struct_0(X429)
| ~ v3_group_1(X429)
| ~ v4_group_1(X429)
| ~ l1_group_1(X429) )
& ( k1_group_1(X429,k1_group_1(X429,X431,k3_group_1(X429,X431)),X430) = X430
| ~ m1_subset_1(X431,u1_struct_0(X429))
| ~ m1_subset_1(X430,u1_struct_0(X429))
| v3_struct_0(X429)
| ~ v3_group_1(X429)
| ~ v4_group_1(X429)
| ~ l1_group_1(X429) )
& ( k1_group_1(X429,X430,k1_group_1(X429,X431,k3_group_1(X429,X431))) = X430
| ~ m1_subset_1(X431,u1_struct_0(X429))
| ~ m1_subset_1(X430,u1_struct_0(X429))
| v3_struct_0(X429)
| ~ v3_group_1(X429)
| ~ v4_group_1(X429)
| ~ l1_group_1(X429) )
& ( k1_group_1(X429,X430,k1_group_1(X429,k3_group_1(X429,X431),X431)) = X430
| ~ m1_subset_1(X431,u1_struct_0(X429))
| ~ m1_subset_1(X430,u1_struct_0(X429))
| v3_struct_0(X429)
| ~ v3_group_1(X429)
| ~ v4_group_1(X429)
| ~ l1_group_1(X429) )
& ( k1_group_1(X429,k3_group_1(X429,X431),k1_group_1(X429,X431,X430)) = X430
| ~ m1_subset_1(X431,u1_struct_0(X429))
| ~ m1_subset_1(X430,u1_struct_0(X429))
| v3_struct_0(X429)
| ~ v3_group_1(X429)
| ~ v4_group_1(X429)
| ~ l1_group_1(X429) )
& ( k1_group_1(X429,X431,k1_group_1(X429,k3_group_1(X429,X431),X430)) = X430
| ~ m1_subset_1(X431,u1_struct_0(X429))
| ~ m1_subset_1(X430,u1_struct_0(X429))
| v3_struct_0(X429)
| ~ v3_group_1(X429)
| ~ v4_group_1(X429)
| ~ l1_group_1(X429) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).
cnf(c_0_43,negated_conjecture,
esk29_1(esk1_0) = k2_group_1(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_29,c_0_30]),c_0_31]),c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_44,plain,
( esk29_1(X1) = k1_group_1(X1,X2,k3_group_1(X1,X2))
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36])]),c_0_24]) ).
fof(c_0_45,plain,
! [X256,X257,X258,X259] :
( v1_xboole_0(X256)
| ~ v1_funct_1(X258)
| ~ v1_funct_2(X258,X256,X257)
| ~ m1_relset_1(X258,X256,X257)
| ~ m1_subset_1(X259,X256)
| m1_subset_1(k8_funct_2(X256,X257,X258,X259),X257) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])]) ).
fof(c_0_46,plain,
! [X526,X527] :
( m1_relset_1(esk67_2(X526,X527),X526,X527)
& v1_relat_1(esk67_2(X526,X527))
& v1_funct_1(esk67_2(X526,X527))
& v1_funct_2(esk67_2(X526,X527),X526,X527) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_funct_2])]) ).
cnf(c_0_47,plain,
( v3_struct_0(X1)
| k6_autgroup(X1,k2_group_1(X1)) = k6_partfun1(u1_struct_0(X1))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_48,plain,
k6_partfun1(X1) = k6_relat_1(X1),
inference(split_conjunct,[status(thm)],[c_0_39]) ).
fof(c_0_49,plain,
! [X61,X62,X63] :
( v3_struct_0(X61)
| ~ v1_group_1(X61)
| ~ v3_group_1(X61)
| ~ v4_group_1(X61)
| ~ l1_group_1(X61)
| ~ m1_subset_1(X62,u1_struct_0(X61))
| ~ m1_subset_1(X63,u1_struct_0(X61))
| k6_autgroup(X61,k1_group_1(X61,X62,X63)) = k7_funct_2(u1_struct_0(X61),u1_struct_0(X61),u1_struct_0(X61),k6_autgroup(X61,X62),k6_autgroup(X61,X63)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])]) ).
fof(c_0_50,plain,
! [X102] :
( v3_struct_0(X102)
| ~ l1_group_1(X102)
| m1_subset_1(k2_group_1(X102),u1_struct_0(X102)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])]) ).
cnf(c_0_51,plain,
( k1_group_1(X1,k1_group_1(X1,X2,k3_group_1(X1,X2)),X3) = X3
| v3_struct_0(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_42]) ).
cnf(c_0_52,negated_conjecture,
( k1_group_1(esk1_0,X1,k3_group_1(esk1_0,X1)) = k2_group_1(esk1_0)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_31]),c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_53,plain,
( v1_xboole_0(X1)
| m1_subset_1(k8_funct_2(X1,X3,X2,X4),X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X1,X3)
| ~ m1_relset_1(X2,X1,X3)
| ~ m1_subset_1(X4,X1) ),
inference(split_conjunct,[status(thm)],[c_0_45]) ).
cnf(c_0_54,plain,
m1_relset_1(esk67_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_55,plain,
v1_funct_2(esk67_2(X1,X2),X1,X2),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_56,plain,
v1_funct_1(esk67_2(X1,X2)),
inference(split_conjunct,[status(thm)],[c_0_46]) ).
cnf(c_0_57,negated_conjecture,
( k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,k2_group_1(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0)
| k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_autgroup(esk1_0,k2_group_1(esk1_0))) != k6_autgroup(esk1_0,esk2_0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_58,plain,
( k6_autgroup(X1,k2_group_1(X1)) = k6_relat_1(u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1) ),
inference(rw,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_59,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_60,plain,
( v3_struct_0(X1)
| k6_autgroup(X1,k1_group_1(X1,X2,X3)) = k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_autgroup(X1,X3))
| ~ v1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
cnf(c_0_61,plain,
( v3_struct_0(X1)
| m1_subset_1(k2_group_1(X1),u1_struct_0(X1))
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_50]) ).
fof(c_0_62,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( k2_group_3(X1,X2,X3) = X2
<=> k1_group_1(X1,X2,X3) = k1_group_1(X1,X3,X2) ) ) ) ),
inference(fof_simplification,[status(thm)],[t27_group_3]) ).
fof(c_0_63,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
=> k2_group_3(X1,X2,k2_group_1(X1)) = X2 ) ),
inference(fof_simplification,[status(thm)],[t24_group_3]) ).
cnf(c_0_64,negated_conjecture,
( k1_group_1(esk1_0,k2_group_1(esk1_0),X1) = X1
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X2,u1_struct_0(esk1_0)) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_31]),c_0_32]),c_0_33])]),c_0_34]) ).
cnf(c_0_65,plain,
( m1_subset_1(k8_funct_2(X1,X2,esk67_2(X1,X2),X3),X2)
| v1_xboole_0(X1)
| ~ m1_subset_1(X3,X1) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55]),c_0_56])]) ).
fof(c_0_66,plain,
! [X126] : m1_subset_1(esk10_1(X126),X126),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[existence_m1_subset_1])]) ).
cnf(c_0_67,negated_conjecture,
( k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_autgroup(esk1_0,esk2_0),k6_relat_1(u1_struct_0(esk1_0))) != k6_autgroup(esk1_0,esk2_0)
| k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_relat_1(u1_struct_0(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_58]),c_0_31]),c_0_32]),c_0_59]),c_0_33])]),c_0_34]) ).
cnf(c_0_68,plain,
( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_autgroup(X1,X2),k6_relat_1(u1_struct_0(X1))) = k6_autgroup(X1,k1_group_1(X1,X2,k2_group_1(X1)))
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_58]),c_0_61]) ).
fof(c_0_69,plain,
! [X192,X193,X194] :
( ( k2_group_3(X192,X193,X194) != X193
| k1_group_1(X192,X193,X194) = k1_group_1(X192,X194,X193)
| ~ m1_subset_1(X194,u1_struct_0(X192))
| ~ m1_subset_1(X193,u1_struct_0(X192))
| v3_struct_0(X192)
| ~ v3_group_1(X192)
| ~ v4_group_1(X192)
| ~ l1_group_1(X192) )
& ( k1_group_1(X192,X193,X194) != k1_group_1(X192,X194,X193)
| k2_group_3(X192,X193,X194) = X193
| ~ m1_subset_1(X194,u1_struct_0(X192))
| ~ m1_subset_1(X193,u1_struct_0(X192))
| v3_struct_0(X192)
| ~ v3_group_1(X192)
| ~ v4_group_1(X192)
| ~ l1_group_1(X192) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_62])])])]) ).
fof(c_0_70,plain,
! [X186,X187] :
( v3_struct_0(X186)
| ~ v3_group_1(X186)
| ~ v4_group_1(X186)
| ~ l1_group_1(X186)
| ~ m1_subset_1(X187,u1_struct_0(X186))
| k2_group_3(X186,X187,k2_group_1(X186)) = X187 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_63])])]) ).
fof(c_0_71,plain,
! [X539,X540] :
( ~ v1_xboole_0(X539)
| X539 = X540
| ~ v1_xboole_0(X540) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t8_boole])]) ).
fof(c_0_72,plain,
v1_xboole_0(esk70_0),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[rc1_xboole_0])]) ).
cnf(c_0_73,negated_conjecture,
( k1_group_1(esk1_0,k2_group_1(esk1_0),X1) = X1
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0))
| ~ m1_subset_1(X3,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_74,plain,
m1_subset_1(esk10_1(X1),X1),
inference(split_conjunct,[status(thm)],[c_0_66]) ).
cnf(c_0_75,negated_conjecture,
( k7_funct_2(u1_struct_0(esk1_0),u1_struct_0(esk1_0),u1_struct_0(esk1_0),k6_relat_1(u1_struct_0(esk1_0)),k6_autgroup(esk1_0,esk2_0)) != k6_autgroup(esk1_0,esk2_0)
| k6_autgroup(esk1_0,k1_group_1(esk1_0,esk2_0,k2_group_1(esk1_0))) != k6_autgroup(esk1_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_31]),c_0_32]),c_0_59]),c_0_33]),c_0_30])]),c_0_34]) ).
cnf(c_0_76,plain,
( k7_funct_2(u1_struct_0(X1),u1_struct_0(X1),u1_struct_0(X1),k6_relat_1(u1_struct_0(X1)),k6_autgroup(X1,X2)) = k6_autgroup(X1,k1_group_1(X1,k2_group_1(X1),X2))
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_58]),c_0_61]) ).
cnf(c_0_77,plain,
( k1_group_1(X1,X2,X3) = k1_group_1(X1,X3,X2)
| v3_struct_0(X1)
| k2_group_3(X1,X2,X3) != X2
| ~ m1_subset_1(X3,u1_struct_0(X1))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_69]) ).
cnf(c_0_78,plain,
( v3_struct_0(X1)
| k2_group_3(X1,X2,k2_group_1(X1)) = X2
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_70]) ).
cnf(c_0_79,plain,
( X1 = X2
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_71]) ).
cnf(c_0_80,plain,
v1_xboole_0(esk70_0),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_81,negated_conjecture,
( k1_group_1(esk1_0,k2_group_1(esk1_0),X1) = X1
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,u1_struct_0(esk1_0)) ),
inference(spm,[status(thm)],[c_0_73,c_0_74]) ).
cnf(c_0_82,negated_conjecture,
( k6_autgroup(esk1_0,k1_group_1(esk1_0,k2_group_1(esk1_0),esk2_0)) != k6_autgroup(esk1_0,esk2_0)
| k6_autgroup(esk1_0,k1_group_1(esk1_0,esk2_0,k2_group_1(esk1_0))) != k6_autgroup(esk1_0,esk2_0) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_31]),c_0_32]),c_0_59]),c_0_33]),c_0_30])]),c_0_34]) ).
cnf(c_0_83,plain,
( k1_group_1(X1,X2,k2_group_1(X1)) = k1_group_1(X1,k2_group_1(X1),X2)
| v3_struct_0(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_subset_1(X2,u1_struct_0(X1)) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_61]) ).
cnf(c_0_84,plain,
( X1 = esk70_0
| ~ v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_79,c_0_80]) ).
cnf(c_0_85,negated_conjecture,
( k1_group_1(esk1_0,k2_group_1(esk1_0),esk2_0) = esk2_0
| v1_xboole_0(X1) ),
inference(spm,[status(thm)],[c_0_81,c_0_30]) ).
cnf(c_0_86,negated_conjecture,
k6_autgroup(esk1_0,k1_group_1(esk1_0,esk2_0,k2_group_1(esk1_0))) != k6_autgroup(esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_31]),c_0_32]),c_0_33]),c_0_30])]),c_0_34]) ).
cnf(c_0_87,negated_conjecture,
( k1_group_1(esk1_0,k2_group_1(esk1_0),esk2_0) = esk2_0
| X1 = esk70_0 ),
inference(spm,[status(thm)],[c_0_84,c_0_85]) ).
cnf(c_0_88,negated_conjecture,
k1_group_1(esk1_0,k2_group_1(esk1_0),esk2_0) = esk2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_86,c_0_87]),c_0_87]) ).
cnf(c_0_89,negated_conjecture,
k1_group_1(esk1_0,esk2_0,k2_group_1(esk1_0)) = esk2_0,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_88]),c_0_31]),c_0_32]),c_0_33]),c_0_30])]),c_0_34]) ).
cnf(c_0_90,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_86,c_0_89])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 3.95/3.99 % Problem : GRP631+4 : TPTP v8.1.2. Released v3.4.0.
% 3.95/4.01 % Command : run_E %s %d THM
% 3.98/4.21 % Computer : n027.cluster.edu
% 3.98/4.21 % Model : x86_64 x86_64
% 3.98/4.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 3.98/4.21 % Memory : 8042.1875MB
% 3.98/4.21 % OS : Linux 3.10.0-693.el7.x86_64
% 3.98/4.21 % CPULimit : 2400
% 3.98/4.21 % WCLimit : 300
% 3.98/4.21 % DateTime : Tue Oct 3 02:48:24 EDT 2023
% 3.98/4.21 % CPUTime :
% 18.43/18.67 Running first-order theorem proving
% 18.43/18.67 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/tmp/tmp.zyx1u6YNaV/E---3.1_21284.p
% 68.48/26.73 # Version: 3.1pre001
% 68.48/26.73 # Preprocessing class: FMLLMLLLSSSNFFN.
% 68.48/26.73 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 68.48/26.73 # Starting new_bool_3 with 897s (3) cores
% 68.48/26.73 # Starting new_bool_1 with 897s (3) cores
% 68.48/26.73 # Starting sh5l with 299s (1) cores
% 68.48/26.73 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 68.48/26.73 # G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with pid 21370 completed with status 0
% 68.48/26.73 # Result found by G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y
% 68.48/26.73 # Preprocessing class: FMLLMLLLSSSNFFN.
% 68.48/26.73 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 68.48/26.73 # Starting new_bool_3 with 897s (3) cores
% 68.48/26.73 # Starting new_bool_1 with 897s (3) cores
% 68.48/26.73 # Starting sh5l with 299s (1) cores
% 68.48/26.73 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 68.48/26.73 # SinE strategy is gf120_h_gu_R02_F100_L20000
% 68.48/26.73 # Search class: FGHSM-FSLM32-MFFFFFNN
% 68.48/26.73 # Scheduled 12 strats onto 1 cores with 299 seconds (299 total)
% 68.48/26.73 # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 68.48/26.73 # G-E--_303_C18_F1_URBAN_S0Y with pid 21371 completed with status 0
% 68.48/26.73 # Result found by G-E--_303_C18_F1_URBAN_S0Y
% 68.48/26.73 # Preprocessing class: FMLLMLLLSSSNFFN.
% 68.48/26.73 # Scheduled 4 strats onto 8 cores with 299 seconds (2392 total)
% 68.48/26.73 # Starting new_bool_3 with 897s (3) cores
% 68.48/26.73 # Starting new_bool_1 with 897s (3) cores
% 68.48/26.73 # Starting sh5l with 299s (1) cores
% 68.48/26.73 # Starting G-E--_207_C01_F1_SE_CS_SP_PI_S5PRR_S0Y with 299s (1) cores
% 68.48/26.73 # SinE strategy is gf120_h_gu_R02_F100_L20000
% 68.48/26.73 # Search class: FGHSM-FSLM32-MFFFFFNN
% 68.48/26.73 # Scheduled 12 strats onto 1 cores with 299 seconds (299 total)
% 68.48/26.73 # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 68.48/26.73 # Preprocessing time : 0.053 s
% 68.48/26.73
% 68.48/26.73 # Proof found!
% 68.48/26.73 # SZS status Theorem
% 68.48/26.73 # SZS output start CNFRefutation
% See solution above
% 68.48/26.73 # Parsed axioms : 33428
% 68.48/26.73 # Removed by relevancy pruning/SinE : 33195
% 68.48/26.73 # Initial clauses : 612
% 68.48/26.73 # Removed in clause preprocessing : 49
% 68.48/26.73 # Initial clauses in saturation : 563
% 68.48/26.73 # Processed clauses : 6518
% 68.48/26.73 # ...of these trivial : 53
% 68.48/26.73 # ...subsumed : 3366
% 68.48/26.73 # ...remaining for further processing : 3099
% 68.48/26.73 # Other redundant clauses eliminated : 170
% 68.48/26.73 # Clauses deleted for lack of memory : 0
% 68.48/26.73 # Backward-subsumed : 317
% 68.48/26.73 # Backward-rewritten : 35
% 68.48/26.73 # Generated clauses : 93225
% 68.48/26.73 # ...of the previous two non-redundant : 87851
% 68.48/26.73 # ...aggressively subsumed : 0
% 68.48/26.73 # Contextual simplify-reflections : 1547
% 68.48/26.73 # Paramodulations : 92964
% 68.48/26.73 # Factorizations : 1
% 68.48/26.73 # NegExts : 0
% 68.48/26.73 # Equation resolutions : 261
% 68.48/26.73 # Total rewrite steps : 27185
% 68.48/26.73 # Propositional unsat checks : 0
% 68.48/26.73 # Propositional check models : 0
% 68.48/26.73 # Propositional check unsatisfiable : 0
% 68.48/26.73 # Propositional clauses : 0
% 68.48/26.73 # Propositional clauses after purity: 0
% 68.48/26.73 # Propositional unsat core size : 0
% 68.48/26.73 # Propositional preprocessing time : 0.000
% 68.48/26.73 # Propositional encoding time : 0.000
% 68.48/26.73 # Propositional solver time : 0.000
% 68.48/26.73 # Success case prop preproc time : 0.000
% 68.48/26.73 # Success case prop encoding time : 0.000
% 68.48/26.73 # Success case prop solver time : 0.000
% 68.48/26.73 # Current number of processed clauses : 2736
% 68.48/26.73 # Positive orientable unit clauses : 55
% 68.48/26.73 # Positive unorientable unit clauses: 0
% 68.48/26.73 # Negative unit clauses : 7
% 68.48/26.73 # Non-unit-clauses : 2674
% 68.48/26.73 # Current number of unprocessed clauses: 81410
% 68.48/26.73 # ...number of literals in the above : 824088
% 68.48/26.73 # Current number of archived formulas : 0
% 68.48/26.73 # Current number of archived clauses : 353
% 68.48/26.73 # Clause-clause subsumption calls (NU) : 1791515
% 68.48/26.73 # Rec. Clause-clause subsumption calls : 90536
% 68.48/26.73 # Non-unit clause-clause subsumptions : 5190
% 68.48/26.73 # Unit Clause-clause subsumption calls : 12803
% 68.48/26.73 # Rewrite failures with RHS unbound : 0
% 68.48/26.73 # BW rewrite match attempts : 46
% 68.48/26.73 # BW rewrite match successes : 7
% 68.48/26.73 # Condensation attempts : 0
% 68.48/26.73 # Condensation successes : 0
% 68.48/26.73 # Termbank termtop insertions : 3929305
% 68.48/26.73
% 68.48/26.73 # -------------------------------------------------
% 68.48/26.73 # User time : 6.094 s
% 68.48/26.73 # System time : 0.202 s
% 68.48/26.73 # Total time : 6.296 s
% 68.48/26.73 # Maximum resident set size: 65072 pages
% 68.48/26.73
% 68.48/26.73 # -------------------------------------------------
% 68.48/26.73 # User time : 7.659 s
% 68.48/26.73 # System time : 0.253 s
% 68.48/26.73 # Total time : 7.911 s
% 68.48/26.73 # Maximum resident set size: 51716 pages
% 68.48/26.73 % E---3.1 exiting
% 68.48/26.74 % E---3.1 exiting
%------------------------------------------------------------------------------