TSTP Solution File: GRP631+2 by E-SAT---3.1
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%------------------------------------------------------------------------------
% File : E-SAT---3.1
% Problem : GRP631+2 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n005.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 17:49:43 EDT 2023
% Result : Theorem 17.13s 3.09s
% Output : CNFRefutation 17.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 57 ( 12 unt; 0 def)
% Number of atoms : 376 ( 86 equ)
% Maximal formula atoms : 56 ( 6 avg)
% Number of connectives : 502 ( 183 ~; 185 |; 92 &)
% ( 4 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 2 con; 0-5 aty)
% Number of variables : 90 ( 1 sgn; 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox/tmp/tmp.sNcz8JydMx/E---3.1_9408.p',t24_autgroup) ).
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/sandbox/tmp/tmp.sNcz8JydMx/E---3.1_9408.p',t29_autgroup) ).
fof(redefinition_k6_partfun1,axiom,
! [X1] : k6_partfun1(X1) = k6_relat_1(X1),
file('/export/starexec/sandbox/tmp/tmp.sNcz8JydMx/E---3.1_9408.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/sandbox/tmp/tmp.sNcz8JydMx/E---3.1_9408.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/sandbox/tmp/tmp.sNcz8JydMx/E---3.1_9408.p',dt_k2_group_1) ).
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/sandbox/tmp/tmp.sNcz8JydMx/E---3.1_9408.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/sandbox/tmp/tmp.sNcz8JydMx/E---3.1_9408.p',t24_group_3) ).
fof(d6_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))
=> ( X3 = k3_group_1(X1,X2)
<=> ( k1_group_1(X1,X2,X3) = k2_group_1(X1)
& k1_group_1(X1,X3,X2) = k2_group_1(X1) ) ) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.sNcz8JydMx/E---3.1_9408.p',d6_group_1) ).
fof(dt_k3_group_1,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1)) ),
file('/export/starexec/sandbox/tmp/tmp.sNcz8JydMx/E---3.1_9408.p',dt_k3_group_1) ).
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/sandbox/tmp/tmp.sNcz8JydMx/E---3.1_9408.p',t1_group_3) ).
fof(c_0_10,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_11,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_12,plain,
! [X25] :
( v3_struct_0(X25)
| ~ v1_group_1(X25)
| ~ v3_group_1(X25)
| ~ v4_group_1(X25)
| ~ l1_group_1(X25)
| k6_autgroup(X25,k2_group_1(X25)) = k6_partfun1(u1_struct_0(X25)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])]) ).
fof(c_0_13,plain,
! [X292] : k6_partfun1(X292) = k6_relat_1(X292),
inference(variable_rename,[status(thm)],[redefinition_k6_partfun1]) ).
fof(c_0_14,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_15,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_16,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_11])])]) ).
cnf(c_0_17,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_12]) ).
cnf(c_0_18,plain,
k6_partfun1(X1) = k6_relat_1(X1),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_19,plain,
! [X22,X23,X24] :
( v3_struct_0(X22)
| ~ v1_group_1(X22)
| ~ v3_group_1(X22)
| ~ v4_group_1(X22)
| ~ l1_group_1(X22)
| ~ m1_subset_1(X23,u1_struct_0(X22))
| ~ m1_subset_1(X24,u1_struct_0(X22))
| k6_autgroup(X22,k1_group_1(X22,X23,X24)) = k7_funct_2(u1_struct_0(X22),u1_struct_0(X22),u1_struct_0(X22),k6_autgroup(X22,X23),k6_autgroup(X22,X24)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_20,plain,
! [X70] :
( v3_struct_0(X70)
| ~ l1_group_1(X70)
| m1_subset_1(k2_group_1(X70),u1_struct_0(X70)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])]) ).
cnf(c_0_21,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_16]) ).
cnf(c_0_22,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_17,c_0_18]) ).
cnf(c_0_23,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_24,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_26,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_27,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_28,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_19]) ).
cnf(c_0_29,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_20]) ).
fof(c_0_30,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_31,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_32,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_21,c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26])]),c_0_27]) ).
cnf(c_0_33,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_28,c_0_22]),c_0_29]) ).
cnf(c_0_34,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
fof(c_0_35,plain,
! [X133,X134,X135] :
( ( k2_group_3(X133,X134,X135) != X134
| k1_group_1(X133,X134,X135) = k1_group_1(X133,X135,X134)
| ~ m1_subset_1(X135,u1_struct_0(X133))
| ~ m1_subset_1(X134,u1_struct_0(X133))
| v3_struct_0(X133)
| ~ v3_group_1(X133)
| ~ v4_group_1(X133)
| ~ l1_group_1(X133) )
& ( k1_group_1(X133,X134,X135) != k1_group_1(X133,X135,X134)
| k2_group_3(X133,X134,X135) = X134
| ~ m1_subset_1(X135,u1_struct_0(X133))
| ~ m1_subset_1(X134,u1_struct_0(X133))
| v3_struct_0(X133)
| ~ v3_group_1(X133)
| ~ v4_group_1(X133)
| ~ l1_group_1(X133) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_30])])])]) ).
fof(c_0_36,plain,
! [X127,X128] :
( v3_struct_0(X127)
| ~ v3_group_1(X127)
| ~ v4_group_1(X127)
| ~ l1_group_1(X127)
| ~ m1_subset_1(X128,u1_struct_0(X127))
| k2_group_3(X127,X128,k2_group_1(X127)) = X128 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_31])])]) ).
fof(c_0_37,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))
=> ( X3 = k3_group_1(X1,X2)
<=> ( k1_group_1(X1,X2,X3) = k2_group_1(X1)
& k1_group_1(X1,X3,X2) = k2_group_1(X1) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[d6_group_1]) ).
fof(c_0_38,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& m1_subset_1(X2,u1_struct_0(X1)) )
=> m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[dt_k3_group_1]) ).
cnf(c_0_39,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)
| k6_autgroup(esk1_0,k1_group_1(esk1_0,k2_group_1(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32,c_0_33]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_34])]),c_0_27]) ).
cnf(c_0_40,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_28,c_0_22]),c_0_29]) ).
cnf(c_0_41,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_35]) ).
cnf(c_0_42,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_36]) ).
fof(c_0_43,plain,
! [X55,X56,X57] :
( ( k1_group_1(X55,X56,X57) = k2_group_1(X55)
| X57 != k3_group_1(X55,X56)
| ~ m1_subset_1(X57,u1_struct_0(X55))
| ~ m1_subset_1(X56,u1_struct_0(X55))
| v3_struct_0(X55)
| ~ v3_group_1(X55)
| ~ v4_group_1(X55)
| ~ l1_group_1(X55) )
& ( k1_group_1(X55,X57,X56) = k2_group_1(X55)
| X57 != k3_group_1(X55,X56)
| ~ m1_subset_1(X57,u1_struct_0(X55))
| ~ m1_subset_1(X56,u1_struct_0(X55))
| v3_struct_0(X55)
| ~ v3_group_1(X55)
| ~ v4_group_1(X55)
| ~ l1_group_1(X55) )
& ( k1_group_1(X55,X56,X57) != k2_group_1(X55)
| k1_group_1(X55,X57,X56) != k2_group_1(X55)
| X57 = k3_group_1(X55,X56)
| ~ m1_subset_1(X57,u1_struct_0(X55))
| ~ m1_subset_1(X56,u1_struct_0(X55))
| v3_struct_0(X55)
| ~ v3_group_1(X55)
| ~ v4_group_1(X55)
| ~ l1_group_1(X55) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])])]) ).
fof(c_0_44,plain,
! [X328,X329] :
( v3_struct_0(X328)
| ~ v3_group_1(X328)
| ~ v4_group_1(X328)
| ~ l1_group_1(X328)
| ~ m1_subset_1(X329,u1_struct_0(X328))
| m1_subset_1(k3_group_1(X328,X329),u1_struct_0(X328)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_38])]) ).
cnf(c_0_45,negated_conjecture,
( k6_autgroup(esk1_0,k1_group_1(esk1_0,esk2_0,k2_group_1(esk1_0))) != k6_autgroup(esk1_0,esk2_0)
| k6_autgroup(esk1_0,k1_group_1(esk1_0,k2_group_1(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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_39,c_0_40]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_34])]),c_0_27]) ).
cnf(c_0_46,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_41,c_0_42]),c_0_29]) ).
cnf(c_0_47,plain,
( k1_group_1(X1,X2,X3) = k2_group_1(X1)
| v3_struct_0(X1)
| X3 != k3_group_1(X1,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_43]) ).
cnf(c_0_48,plain,
( v3_struct_0(X1)
| m1_subset_1(k3_group_1(X1,X2),u1_struct_0(X1))
| ~ 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_44]) ).
fof(c_0_49,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_50,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_45,c_0_46]),c_0_23]),c_0_24]),c_0_26]),c_0_34])]),c_0_27]) ).
cnf(c_0_51,plain,
( k1_group_1(X1,X2,k3_group_1(X1,X2)) = 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(er,[status(thm)],[c_0_47]),c_0_48]) ).
fof(c_0_52,plain,
! [X340,X341,X342] :
( ( k1_group_1(X340,k1_group_1(X340,X341,X342),k3_group_1(X340,X342)) = X341
| ~ m1_subset_1(X342,u1_struct_0(X340))
| ~ m1_subset_1(X341,u1_struct_0(X340))
| v3_struct_0(X340)
| ~ v3_group_1(X340)
| ~ v4_group_1(X340)
| ~ l1_group_1(X340) )
& ( k1_group_1(X340,k1_group_1(X340,X341,k3_group_1(X340,X342)),X342) = X341
| ~ m1_subset_1(X342,u1_struct_0(X340))
| ~ m1_subset_1(X341,u1_struct_0(X340))
| v3_struct_0(X340)
| ~ v3_group_1(X340)
| ~ v4_group_1(X340)
| ~ l1_group_1(X340) )
& ( k1_group_1(X340,k1_group_1(X340,k3_group_1(X340,X342),X342),X341) = X341
| ~ m1_subset_1(X342,u1_struct_0(X340))
| ~ m1_subset_1(X341,u1_struct_0(X340))
| v3_struct_0(X340)
| ~ v3_group_1(X340)
| ~ v4_group_1(X340)
| ~ l1_group_1(X340) )
& ( k1_group_1(X340,k1_group_1(X340,X342,k3_group_1(X340,X342)),X341) = X341
| ~ m1_subset_1(X342,u1_struct_0(X340))
| ~ m1_subset_1(X341,u1_struct_0(X340))
| v3_struct_0(X340)
| ~ v3_group_1(X340)
| ~ v4_group_1(X340)
| ~ l1_group_1(X340) )
& ( k1_group_1(X340,X341,k1_group_1(X340,X342,k3_group_1(X340,X342))) = X341
| ~ m1_subset_1(X342,u1_struct_0(X340))
| ~ m1_subset_1(X341,u1_struct_0(X340))
| v3_struct_0(X340)
| ~ v3_group_1(X340)
| ~ v4_group_1(X340)
| ~ l1_group_1(X340) )
& ( k1_group_1(X340,X341,k1_group_1(X340,k3_group_1(X340,X342),X342)) = X341
| ~ m1_subset_1(X342,u1_struct_0(X340))
| ~ m1_subset_1(X341,u1_struct_0(X340))
| v3_struct_0(X340)
| ~ v3_group_1(X340)
| ~ v4_group_1(X340)
| ~ l1_group_1(X340) )
& ( k1_group_1(X340,k3_group_1(X340,X342),k1_group_1(X340,X342,X341)) = X341
| ~ m1_subset_1(X342,u1_struct_0(X340))
| ~ m1_subset_1(X341,u1_struct_0(X340))
| v3_struct_0(X340)
| ~ v3_group_1(X340)
| ~ v4_group_1(X340)
| ~ l1_group_1(X340) )
& ( k1_group_1(X340,X342,k1_group_1(X340,k3_group_1(X340,X342),X341)) = X341
| ~ m1_subset_1(X342,u1_struct_0(X340))
| ~ m1_subset_1(X341,u1_struct_0(X340))
| v3_struct_0(X340)
| ~ v3_group_1(X340)
| ~ v4_group_1(X340)
| ~ l1_group_1(X340) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_49])])])]) ).
cnf(c_0_53,negated_conjecture,
( k6_autgroup(esk1_0,k1_group_1(esk1_0,esk2_0,k1_group_1(esk1_0,X1,k3_group_1(esk1_0,X1)))) != k6_autgroup(esk1_0,esk2_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_50,c_0_51]),c_0_23]),c_0_24]),c_0_26])]),c_0_27]) ).
cnf(c_0_54,plain,
( k1_group_1(X1,X2,k1_group_1(X1,X3,k3_group_1(X1,X3))) = X2
| v3_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_52]) ).
cnf(c_0_55,negated_conjecture,
~ 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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_23]),c_0_24]),c_0_26]),c_0_34])]),c_0_27]) ).
cnf(c_0_56,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_34,c_0_55]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GRP631+2 : TPTP v8.1.2. Released v3.4.0.
% 0.07/0.15 % Command : run_E %s %d THM
% 0.15/0.38 % Computer : n005.cluster.edu
% 0.15/0.38 % Model : x86_64 x86_64
% 0.15/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.38 % Memory : 8042.1875MB
% 0.15/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.38 % CPULimit : 2400
% 0.15/0.38 % WCLimit : 300
% 0.15/0.38 % DateTime : Tue Oct 3 02:59:01 EDT 2023
% 0.15/0.38 % CPUTime :
% 0.64/0.83 Running first-order model finding
% 0.64/0.83 Running: /export/starexec/sandbox/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --satauto-schedule=8 --cpu-limit=300 /export/starexec/sandbox/tmp/tmp.sNcz8JydMx/E---3.1_9408.p
% 17.13/3.09 # Version: 3.1pre001
% 17.13/3.09 # Preprocessing class: FMLMSMMLSSSNFFN.
% 17.13/3.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.13/3.09 # Starting new_bool_3 with 900s (3) cores
% 17.13/3.09 # Starting new_bool_1 with 900s (3) cores
% 17.13/3.09 # Starting sh5l with 300s (1) cores
% 17.13/3.09 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S032N with 300s (1) cores
% 17.13/3.09 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S032N with pid 9488 completed with status 0
% 17.13/3.09 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S032N
% 17.13/3.09 # Preprocessing class: FMLMSMMLSSSNFFN.
% 17.13/3.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.13/3.09 # Starting new_bool_3 with 900s (3) cores
% 17.13/3.09 # Starting new_bool_1 with 900s (3) cores
% 17.13/3.09 # Starting sh5l with 300s (1) cores
% 17.13/3.09 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S032N with 300s (1) cores
% 17.13/3.09 # SinE strategy is gf120_h_gu_R02_F100_L20000
% 17.13/3.09 # Search class: FGHSM-FSLM32-MFFFFFNN
% 17.13/3.09 # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 17.13/3.09 # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 17.13/3.09 # G-E--_303_C18_F1_URBAN_S0Y with pid 9489 completed with status 0
% 17.13/3.09 # Result found by G-E--_303_C18_F1_URBAN_S0Y
% 17.13/3.09 # Preprocessing class: FMLMSMMLSSSNFFN.
% 17.13/3.09 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 17.13/3.09 # Starting new_bool_3 with 900s (3) cores
% 17.13/3.09 # Starting new_bool_1 with 900s (3) cores
% 17.13/3.09 # Starting sh5l with 300s (1) cores
% 17.13/3.09 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S032N with 300s (1) cores
% 17.13/3.09 # SinE strategy is gf120_h_gu_R02_F100_L20000
% 17.13/3.09 # Search class: FGHSM-FSLM32-MFFFFFNN
% 17.13/3.09 # Scheduled 12 strats onto 1 cores with 300 seconds (300 total)
% 17.13/3.09 # Starting G-E--_303_C18_F1_URBAN_S0Y with 25s (1) cores
% 17.13/3.09 # Preprocessing time : 0.027 s
% 17.13/3.09
% 17.13/3.09 # Proof found!
% 17.13/3.09 # SZS status Theorem
% 17.13/3.09 # SZS output start CNFRefutation
% See solution above
% 17.13/3.09 # Parsed axioms : 3844
% 17.13/3.09 # Removed by relevancy pruning/SinE : 3656
% 17.13/3.09 # Initial clauses : 465
% 17.13/3.09 # Removed in clause preprocessing : 17
% 17.13/3.09 # Initial clauses in saturation : 448
% 17.13/3.09 # Processed clauses : 3369
% 17.13/3.09 # ...of these trivial : 24
% 17.13/3.09 # ...subsumed : 1541
% 17.13/3.09 # ...remaining for further processing : 1804
% 17.13/3.09 # Other redundant clauses eliminated : 101
% 17.13/3.09 # Clauses deleted for lack of memory : 0
% 17.13/3.09 # Backward-subsumed : 118
% 17.13/3.09 # Backward-rewritten : 76
% 17.13/3.09 # Generated clauses : 41076
% 17.13/3.09 # ...of the previous two non-redundant : 38444
% 17.13/3.09 # ...aggressively subsumed : 0
% 17.13/3.09 # Contextual simplify-reflections : 712
% 17.13/3.09 # Paramodulations : 40845
% 17.13/3.09 # Factorizations : 0
% 17.13/3.09 # NegExts : 0
% 17.13/3.09 # Equation resolutions : 230
% 17.13/3.09 # Total rewrite steps : 15649
% 17.13/3.09 # Propositional unsat checks : 0
% 17.13/3.09 # Propositional check models : 0
% 17.13/3.09 # Propositional check unsatisfiable : 0
% 17.13/3.09 # Propositional clauses : 0
% 17.13/3.09 # Propositional clauses after purity: 0
% 17.13/3.09 # Propositional unsat core size : 0
% 17.13/3.09 # Propositional preprocessing time : 0.000
% 17.13/3.09 # Propositional encoding time : 0.000
% 17.13/3.09 # Propositional solver time : 0.000
% 17.13/3.09 # Success case prop preproc time : 0.000
% 17.13/3.09 # Success case prop encoding time : 0.000
% 17.13/3.09 # Success case prop solver time : 0.000
% 17.13/3.09 # Current number of processed clauses : 1604
% 17.13/3.09 # Positive orientable unit clauses : 44
% 17.13/3.09 # Positive unorientable unit clauses: 0
% 17.13/3.09 # Negative unit clauses : 12
% 17.13/3.09 # Non-unit-clauses : 1548
% 17.13/3.09 # Current number of unprocessed clauses: 35295
% 17.13/3.09 # ...number of literals in the above : 340300
% 17.13/3.09 # Current number of archived formulas : 0
% 17.13/3.09 # Current number of archived clauses : 197
% 17.13/3.09 # Clause-clause subsumption calls (NU) : 925118
% 17.13/3.09 # Rec. Clause-clause subsumption calls : 57938
% 17.13/3.09 # Non-unit clause-clause subsumptions : 2180
% 17.13/3.09 # Unit Clause-clause subsumption calls : 9696
% 17.13/3.09 # Rewrite failures with RHS unbound : 0
% 17.13/3.09 # BW rewrite match attempts : 20
% 17.13/3.09 # BW rewrite match successes : 14
% 17.13/3.09 # Condensation attempts : 0
% 17.13/3.09 # Condensation successes : 0
% 17.13/3.09 # Termbank termtop insertions : 1427463
% 17.13/3.09
% 17.13/3.09 # -------------------------------------------------
% 17.13/3.09 # User time : 2.009 s
% 17.13/3.09 # System time : 0.060 s
% 17.13/3.09 # Total time : 2.069 s
% 17.13/3.09 # Maximum resident set size: 8636 pages
% 17.13/3.09
% 17.13/3.09 # -------------------------------------------------
% 17.13/3.09 # User time : 2.128 s
% 17.13/3.09 # System time : 0.063 s
% 17.13/3.09 # Total time : 2.192 s
% 17.13/3.09 # Maximum resident set size: 6364 pages
% 17.13/3.09 % E---3.1 exiting
%------------------------------------------------------------------------------