TSTP Solution File: GRP631+2 by Enigma---0.5.1
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%------------------------------------------------------------------------------
% File : Enigma---0.5.1
% Problem : GRP631+2 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : enigmatic-eprover.py %s %d 1
% Computer : n017.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 08:39:40 EDT 2022
% Result : Theorem 16.73s 4.33s
% Output : CNFRefutation 16.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 49 ( 12 unt; 0 def)
% Number of atoms : 316 ( 70 equ)
% Maximal formula atoms : 56 ( 6 avg)
% Number of connectives : 442 ( 175 ~; 185 |; 59 &)
% ( 2 <=>; 21 =>; 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 : 72 ( 1 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/benchmark/theBenchmark.p',t29_autgroup) ).
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/benchmark/theBenchmark.p',t24_autgroup) ).
fof(redefinition_k6_partfun1,axiom,
! [X1] : k6_partfun1(X1) = k6_relat_1(X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET007/SET007+17.ax',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/benchmark/theBenchmark.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/benchmark/Axioms/SET007/SET007+212.ax',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/benchmark/Axioms/SET007/SET007+252.ax',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/benchmark/Axioms/SET007/SET007+252.ax',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/benchmark/Axioms/SET007/SET007+212.ax',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/benchmark/Axioms/SET007/SET007+212.ax',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/benchmark/Axioms/SET007/SET007+252.ax',t1_group_3) ).
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_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(assume_negation,[status(cth)],[t29_autgroup]) ).
fof(c_0_11,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)],[inference(fof_simplification,[status(thm)],[t24_autgroup])])]) ).
fof(c_0_12,plain,
! [X292] : k6_partfun1(X292) = k6_relat_1(X292),
inference(variable_rename,[status(thm)],[redefinition_k6_partfun1]) ).
fof(c_0_13,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)],[inference(fof_simplification,[status(thm)],[c_0_10])])])]) ).
cnf(c_0_14,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_11]) ).
cnf(c_0_15,plain,
k6_partfun1(X1) = k6_relat_1(X1),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_16,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)],[inference(fof_simplification,[status(thm)],[t23_autgroup])])])]) ).
fof(c_0_17,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)],[inference(fof_simplification,[status(thm)],[dt_k2_group_1])])]) ).
cnf(c_0_18,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_13]) ).
cnf(c_0_19,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_14,c_0_15]) ).
cnf(c_0_20,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_22,negated_conjecture,
v1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_23,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_24,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_25,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_16]) ).
cnf(c_0_26,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_17]) ).
cnf(c_0_27,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_18,c_0_19]),c_0_20]),c_0_21]),c_0_22]),c_0_23])]),c_0_24]) ).
cnf(c_0_28,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_25,c_0_19]),c_0_26]) ).
cnf(c_0_29,negated_conjecture,
m1_subset_1(esk2_0,u1_struct_0(esk1_0)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
fof(c_0_30,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)],[inference(fof_simplification,[status(thm)],[t27_group_3])])])])]) ).
fof(c_0_31,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)],[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)
| 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_27,c_0_28]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_29])]),c_0_24]) ).
cnf(c_0_33,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_25,c_0_19]),c_0_26]) ).
cnf(c_0_34,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_30]) ).
cnf(c_0_35,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_31]) ).
fof(c_0_36,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)],[inference(fof_simplification,[status(thm)],[d6_group_1])])])])]) ).
fof(c_0_37,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)],[inference(fof_simplification,[status(thm)],[dt_k3_group_1])])]) ).
cnf(c_0_38,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_32,c_0_33]),c_0_20]),c_0_21]),c_0_22]),c_0_23]),c_0_29])]),c_0_24]) ).
cnf(c_0_39,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_34,c_0_35]),c_0_26]) ).
cnf(c_0_40,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_36]) ).
cnf(c_0_41,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_37]) ).
cnf(c_0_42,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_38,c_0_39]),c_0_20]),c_0_21]),c_0_23]),c_0_29])]),c_0_24]) ).
cnf(c_0_43,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_40]),c_0_41]) ).
fof(c_0_44,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)],[inference(fof_simplification,[status(thm)],[t1_group_3])])])])]) ).
cnf(c_0_45,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_42,c_0_43]),c_0_20]),c_0_21]),c_0_23])]),c_0_24]) ).
cnf(c_0_46,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_44]) ).
cnf(c_0_47,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_45,c_0_46]),c_0_20]),c_0_21]),c_0_23]),c_0_29])]),c_0_24]) ).
cnf(c_0_48,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_29,c_0_47]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GRP631+2 : TPTP v8.1.0. Released v3.4.0.
% 0.05/0.10 % Command : enigmatic-eprover.py %s %d 1
% 0.09/0.31 % Computer : n017.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 600
% 0.09/0.31 % DateTime : Tue Jun 14 11:56:26 EDT 2022
% 0.09/0.31 % CPUTime :
% 0.16/0.37 # ENIGMATIC: Selected SinE mode:
% 0.16/0.45 # Parsing /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.45 # Filter: axfilter_auto 0 goes into file theBenchmark_axfilter_auto 0.p
% 0.16/0.45 # Filter: axfilter_auto 1 goes into file theBenchmark_axfilter_auto 1.p
% 0.16/0.45 # Filter: axfilter_auto 2 goes into file theBenchmark_axfilter_auto 2.p
% 16.73/4.33 # ENIGMATIC: Solved by autoschedule:
% 16.73/4.33 # SinE strategy is gf120_h_gu_R02_F100_L20000
% 16.73/4.33 # Trying AutoSched0 for 150 seconds
% 16.73/4.33 # AutoSched0-Mode selected heuristic G_E___302_C18_F1_URBAN_S5PRR_RG_S0Y
% 16.73/4.33 # and selection function SelectMaxLComplexAvoidPosPred.
% 16.73/4.33 #
% 16.73/4.33 # Preprocessing time : 0.061 s
% 16.73/4.33
% 16.73/4.33 # Proof found!
% 16.73/4.33 # SZS status Theorem
% 16.73/4.33 # SZS output start CNFRefutation
% See solution above
% 16.73/4.33 # Training examples: 0 positive, 0 negative
% 16.73/4.33
% 16.73/4.33 # -------------------------------------------------
% 16.73/4.33 # User time : 0.815 s
% 16.73/4.33 # System time : 0.031 s
% 16.73/4.33 # Total time : 0.846 s
% 16.73/4.33 # Maximum resident set size: 9144 pages
% 16.73/4.33
%------------------------------------------------------------------------------