TSTP Solution File: GRP641+3 by E-SAT---3.1.00
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%------------------------------------------------------------------------------
% File : E-SAT---3.1.00
% Problem : GRP641+3 : TPTP v8.2.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E %s %d THM
% Computer : n011.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 : 300s
% DateTime : Mon May 20 20:58:22 EDT 2024
% Result : Theorem 7.83s 1.88s
% Output : CNFRefutation 7.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 55 ( 15 unt; 0 def)
% Number of atoms : 282 ( 19 equ)
% Maximal formula atoms : 38 ( 5 avg)
% Number of connectives : 354 ( 127 ~; 126 |; 66 &)
% ( 6 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 61 ( 0 sgn 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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/sandbox2/benchmark/Axioms/SET007/SET007+246.ax',dt_m1_group_2) ).
fof(t19_latsubgr,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_latsubgr) ).
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/benchmark/Axioms/SET007/SET007+212.ax',dt_k2_group_1) ).
fof(d2_subset_1,axiom,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+7.ax',d2_subset_1) ).
fof(fc1_struct_0,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+200.ax',fc1_struct_0) ).
fof(d1_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) )
=> ( X2 = k1_latsubgr(X1)
<=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(X2,X3) = u1_struct_0(X3) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_latsubgr) ).
fof(dt_k1_latsubgr,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_funct_1(k1_latsubgr(X1))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(t53_group_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> k2_group_1(X2) = k2_group_1(X1) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+246.ax',t53_group_2) ).
fof(dt_l1_group_1,axiom,
! [X1] :
( l1_group_1(X1)
=> l1_struct_0(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET007/SET007+212.ax',dt_l1_group_1) ).
fof(c_0_9,plain,
! [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) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_group_2]) ).
fof(c_0_10,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X1) )
=> r2_hidden(k2_group_1(X1),k1_funct_1(k1_latsubgr(X1),X2)) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t19_latsubgr])]) ).
fof(c_0_11,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_12,plain,
! [X199,X200] :
( ( ~ v3_struct_0(X200)
| ~ m1_group_2(X200,X199)
| v3_struct_0(X199)
| ~ v3_group_1(X199)
| ~ l1_group_1(X199) )
& ( v3_group_1(X200)
| ~ m1_group_2(X200,X199)
| v3_struct_0(X199)
| ~ v3_group_1(X199)
| ~ l1_group_1(X199) )
& ( l1_group_1(X200)
| ~ m1_group_2(X200,X199)
| v3_struct_0(X199)
| ~ v3_group_1(X199)
| ~ l1_group_1(X199) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).
fof(c_0_13,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_group_1(esk1_0)
& v4_group_1(esk1_0)
& l1_group_1(esk1_0)
& v1_group_1(esk2_0)
& m1_group_2(esk2_0,esk1_0)
& ~ r2_hidden(k2_group_1(esk1_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])]) ).
fof(c_0_14,plain,
! [X1,X2] :
( ( ~ v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> r2_hidden(X2,X1) ) )
& ( v1_xboole_0(X1)
=> ( m1_subset_1(X2,X1)
<=> v1_xboole_0(X2) ) ) ),
inference(fof_simplification,[status(thm)],[d2_subset_1]) ).
fof(c_0_15,plain,
! [X164] :
( v3_struct_0(X164)
| ~ l1_group_1(X164)
| m1_subset_1(k2_group_1(X164),u1_struct_0(X164)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])]) ).
cnf(c_0_16,plain,
( l1_group_1(X1)
| v3_struct_0(X2)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_17,negated_conjecture,
m1_group_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_18,negated_conjecture,
v3_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_19,negated_conjecture,
l1_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_20,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_21,plain,
( v3_struct_0(X2)
| ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X2)
| ~ v3_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_22,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& l1_struct_0(X1) )
=> ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(fof_simplification,[status(thm)],[fc1_struct_0]) ).
fof(c_0_23,plain,
! [X28,X29] :
( ( ~ m1_subset_1(X29,X28)
| r2_hidden(X29,X28)
| v1_xboole_0(X28) )
& ( ~ r2_hidden(X29,X28)
| m1_subset_1(X29,X28)
| v1_xboole_0(X28) )
& ( ~ m1_subset_1(X29,X28)
| v1_xboole_0(X29)
| ~ v1_xboole_0(X28) )
& ( ~ v1_xboole_0(X29)
| m1_subset_1(X29,X28)
| ~ v1_xboole_0(X28) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])]) ).
cnf(c_0_24,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_15]) ).
cnf(c_0_25,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_16,c_0_17]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_26,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_21,c_0_17]),c_0_18]),c_0_19])]),c_0_20]) ).
fof(c_0_27,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(X2,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) )
=> ( X2 = k1_latsubgr(X1)
<=> ! [X3] :
( ( v1_group_1(X3)
& m1_group_2(X3,X1) )
=> k1_funct_1(X2,X3) = u1_struct_0(X3) ) ) ) ),
inference(fof_simplification,[status(thm)],[d1_latsubgr]) ).
fof(c_0_28,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ( v1_funct_1(k1_latsubgr(X1))
& v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
& m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ) ),
inference(fof_simplification,[status(thm)],[dt_k1_latsubgr]) ).
fof(c_0_29,plain,
! [X1064] :
( v3_struct_0(X1064)
| ~ l1_struct_0(X1064)
| ~ v1_xboole_0(u1_struct_0(X1064)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_22])])]) ).
cnf(c_0_30,plain,
( r2_hidden(X1,X2)
| v1_xboole_0(X2)
| ~ m1_subset_1(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_31,negated_conjecture,
m1_subset_1(k2_group_1(esk2_0),u1_struct_0(esk2_0)),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_24,c_0_25]),c_0_26]) ).
fof(c_0_32,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( m1_group_2(X2,X1)
=> k2_group_1(X2) = k2_group_1(X1) ) ),
inference(fof_simplification,[status(thm)],[t53_group_2]) ).
fof(c_0_33,plain,
! [X147,X148,X149] :
( ( X148 != k1_latsubgr(X147)
| ~ v1_group_1(X149)
| ~ m1_group_2(X149,X147)
| k1_funct_1(X148,X149) = u1_struct_0(X149)
| ~ v1_funct_1(X148)
| ~ v1_funct_2(X148,k1_group_3(X147),k1_zfmisc_1(u1_struct_0(X147)))
| ~ m2_relset_1(X148,k1_group_3(X147),k1_zfmisc_1(u1_struct_0(X147)))
| v3_struct_0(X147)
| ~ v3_group_1(X147)
| ~ v4_group_1(X147)
| ~ l1_group_1(X147) )
& ( v1_group_1(esk24_2(X147,X148))
| X148 = k1_latsubgr(X147)
| ~ v1_funct_1(X148)
| ~ v1_funct_2(X148,k1_group_3(X147),k1_zfmisc_1(u1_struct_0(X147)))
| ~ m2_relset_1(X148,k1_group_3(X147),k1_zfmisc_1(u1_struct_0(X147)))
| v3_struct_0(X147)
| ~ v3_group_1(X147)
| ~ v4_group_1(X147)
| ~ l1_group_1(X147) )
& ( m1_group_2(esk24_2(X147,X148),X147)
| X148 = k1_latsubgr(X147)
| ~ v1_funct_1(X148)
| ~ v1_funct_2(X148,k1_group_3(X147),k1_zfmisc_1(u1_struct_0(X147)))
| ~ m2_relset_1(X148,k1_group_3(X147),k1_zfmisc_1(u1_struct_0(X147)))
| v3_struct_0(X147)
| ~ v3_group_1(X147)
| ~ v4_group_1(X147)
| ~ l1_group_1(X147) )
& ( k1_funct_1(X148,esk24_2(X147,X148)) != u1_struct_0(esk24_2(X147,X148))
| X148 = k1_latsubgr(X147)
| ~ v1_funct_1(X148)
| ~ v1_funct_2(X148,k1_group_3(X147),k1_zfmisc_1(u1_struct_0(X147)))
| ~ m2_relset_1(X148,k1_group_3(X147),k1_zfmisc_1(u1_struct_0(X147)))
| v3_struct_0(X147)
| ~ v3_group_1(X147)
| ~ v4_group_1(X147)
| ~ l1_group_1(X147) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_27])])])])])]) ).
fof(c_0_34,plain,
! [X146] :
( ( v1_funct_1(k1_latsubgr(X146))
| v3_struct_0(X146)
| ~ v3_group_1(X146)
| ~ v4_group_1(X146)
| ~ l1_group_1(X146) )
& ( v1_funct_2(k1_latsubgr(X146),k1_group_3(X146),k1_zfmisc_1(u1_struct_0(X146)))
| v3_struct_0(X146)
| ~ v3_group_1(X146)
| ~ v4_group_1(X146)
| ~ l1_group_1(X146) )
& ( m2_relset_1(k1_latsubgr(X146),k1_group_3(X146),k1_zfmisc_1(u1_struct_0(X146)))
| v3_struct_0(X146)
| ~ v3_group_1(X146)
| ~ v4_group_1(X146)
| ~ l1_group_1(X146) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_28])])])]) ).
cnf(c_0_35,plain,
( v3_struct_0(X1)
| ~ l1_struct_0(X1)
| ~ v1_xboole_0(u1_struct_0(X1)) ),
inference(split_conjunct,[status(thm)],[c_0_29]) ).
cnf(c_0_36,negated_conjecture,
( v1_xboole_0(u1_struct_0(esk2_0))
| r2_hidden(k2_group_1(esk2_0),u1_struct_0(esk2_0)) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
fof(c_0_37,plain,
! [X1073] :
( ~ l1_group_1(X1073)
| l1_struct_0(X1073) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_l1_group_1])])]) ).
fof(c_0_38,plain,
! [X177,X178] :
( v3_struct_0(X177)
| ~ v3_group_1(X177)
| ~ v4_group_1(X177)
| ~ l1_group_1(X177)
| ~ m1_group_2(X178,X177)
| k2_group_1(X178) = k2_group_1(X177) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_32])])])]) ).
cnf(c_0_39,plain,
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| v3_struct_0(X2)
| X1 != k1_latsubgr(X2)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X2)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| ~ m2_relset_1(X1,k1_group_3(X2),k1_zfmisc_1(u1_struct_0(X2)))
| ~ v3_group_1(X2)
| ~ v4_group_1(X2)
| ~ l1_group_1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_33]) ).
cnf(c_0_40,plain,
( v1_funct_1(k1_latsubgr(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_41,plain,
( m2_relset_1(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_42,plain,
( v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_34]) ).
cnf(c_0_43,negated_conjecture,
( r2_hidden(k2_group_1(esk2_0),u1_struct_0(esk2_0))
| ~ l1_struct_0(esk2_0) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_35,c_0_36]),c_0_26]) ).
cnf(c_0_44,plain,
( l1_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_37]) ).
cnf(c_0_45,plain,
( v3_struct_0(X1)
| k2_group_1(X2) = k2_group_1(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ m1_group_2(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_38]) ).
cnf(c_0_46,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_47,plain,
( k1_funct_1(k1_latsubgr(X1),X2) = u1_struct_0(X2)
| v3_struct_0(X1)
| ~ m1_group_2(X2,X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X2)
| ~ l1_group_1(X1) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(er,[status(thm)],[c_0_39]),c_0_40]),c_0_41]),c_0_42]) ).
cnf(c_0_48,negated_conjecture,
v1_group_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_49,negated_conjecture,
r2_hidden(k2_group_1(esk2_0),u1_struct_0(esk2_0)),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_43,c_0_44]),c_0_25])]) ).
cnf(c_0_50,negated_conjecture,
k2_group_1(esk2_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_45,c_0_17]),c_0_46]),c_0_18]),c_0_19])]),c_0_20]) ).
cnf(c_0_51,negated_conjecture,
~ r2_hidden(k2_group_1(esk1_0),k1_funct_1(k1_latsubgr(esk1_0),esk2_0)),
inference(split_conjunct,[status(thm)],[c_0_13]) ).
cnf(c_0_52,negated_conjecture,
k1_funct_1(k1_latsubgr(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(spm,[status(thm)],[c_0_47,c_0_17]),c_0_46]),c_0_18]),c_0_48]),c_0_19])]),c_0_20]) ).
cnf(c_0_53,negated_conjecture,
r2_hidden(k2_group_1(esk1_0),u1_struct_0(esk2_0)),
inference(rw,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_54,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52]),c_0_53])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP641+3 : TPTP v8.2.0. Released v3.4.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun May 19 06:00:09 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order model finding
% 0.19/0.46 Running: /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p
% 7.83/1.88 # Version: 3.1.0
% 7.83/1.88 # Preprocessing class: FMLLSMLLSSSNFFN.
% 7.83/1.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.83/1.88 # Starting new_bool_3 with 900s (3) cores
% 7.83/1.88 # Starting new_bool_1 with 900s (3) cores
% 7.83/1.88 # Starting sh5l with 300s (1) cores
% 7.83/1.88 # Starting G-E--_301_C18_F1_URBAN_S5PRR_RG_S0Y with 300s (1) cores
% 7.83/1.88 # new_bool_1 with pid 14537 completed with status 0
% 7.83/1.88 # Result found by new_bool_1
% 7.83/1.88 # Preprocessing class: FMLLSMLLSSSNFFN.
% 7.83/1.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.83/1.88 # Starting new_bool_3 with 900s (3) cores
% 7.83/1.88 # Starting new_bool_1 with 900s (3) cores
% 7.83/1.88 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 7.83/1.88 # Search class: FGHSM-FMLM32-MFFFFFNN
% 7.83/1.88 # partial match(1): FGHSM-SMLM32-MFFFFFNN
% 7.83/1.88 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 7.83/1.88 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 7.83/1.88 # Starting new_bool_1 with 91s (1) cores
% 7.83/1.88 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S2g with 68s (1) cores
% 7.83/1.88 # G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with pid 14542 completed with status 0
% 7.83/1.88 # Result found by G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI
% 7.83/1.88 # Preprocessing class: FMLLSMLLSSSNFFN.
% 7.83/1.88 # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 7.83/1.88 # Starting new_bool_3 with 900s (3) cores
% 7.83/1.88 # Starting new_bool_1 with 900s (3) cores
% 7.83/1.88 # SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 7.83/1.88 # Search class: FGHSM-FMLM32-MFFFFFNN
% 7.83/1.88 # partial match(1): FGHSM-SMLM32-MFFFFFNN
% 7.83/1.88 # Scheduled 13 strats onto 3 cores with 900 seconds (900 total)
% 7.83/1.88 # Starting G-E--_208_C18_F1_SE_CS_SP_PS_S5PRR_S2mI with 68s (1) cores
% 7.83/1.88 # Preprocessing time : 0.020 s
% 7.83/1.88 # Presaturation interreduction done
% 7.83/1.88
% 7.83/1.88 # Proof found!
% 7.83/1.88 # SZS status Theorem
% 7.83/1.88 # SZS output start CNFRefutation
% See solution above
% 7.83/1.88 # Parsed axioms : 13983
% 7.83/1.88 # Removed by relevancy pruning/SinE : 13611
% 7.83/1.88 # Initial clauses : 884
% 7.83/1.88 # Removed in clause preprocessing : 75
% 7.83/1.88 # Initial clauses in saturation : 809
% 7.83/1.88 # Processed clauses : 5589
% 7.83/1.88 # ...of these trivial : 66
% 7.83/1.88 # ...subsumed : 1408
% 7.83/1.88 # ...remaining for further processing : 4115
% 7.83/1.88 # Other redundant clauses eliminated : 149
% 7.83/1.88 # Clauses deleted for lack of memory : 0
% 7.83/1.88 # Backward-subsumed : 7
% 7.83/1.88 # Backward-rewritten : 310
% 7.83/1.88 # Generated clauses : 19591
% 7.83/1.88 # ...of the previous two non-redundant : 18706
% 7.83/1.88 # ...aggressively subsumed : 0
% 7.83/1.88 # Contextual simplify-reflections : 42
% 7.83/1.88 # Paramodulations : 19432
% 7.83/1.88 # Factorizations : 2
% 7.83/1.88 # NegExts : 0
% 7.83/1.88 # Equation resolutions : 163
% 7.83/1.88 # Disequality decompositions : 0
% 7.83/1.88 # Total rewrite steps : 6690
% 7.83/1.88 # ...of those cached : 6048
% 7.83/1.88 # Propositional unsat checks : 0
% 7.83/1.88 # Propositional check models : 0
% 7.83/1.88 # Propositional check unsatisfiable : 0
% 7.83/1.88 # Propositional clauses : 0
% 7.83/1.88 # Propositional clauses after purity: 0
% 7.83/1.88 # Propositional unsat core size : 0
% 7.83/1.88 # Propositional preprocessing time : 0.000
% 7.83/1.88 # Propositional encoding time : 0.000
% 7.83/1.88 # Propositional solver time : 0.000
% 7.83/1.88 # Success case prop preproc time : 0.000
% 7.83/1.88 # Success case prop encoding time : 0.000
% 7.83/1.88 # Success case prop solver time : 0.000
% 7.83/1.88 # Current number of processed clauses : 2979
% 7.83/1.88 # Positive orientable unit clauses : 661
% 7.83/1.88 # Positive unorientable unit clauses: 0
% 7.83/1.88 # Negative unit clauses : 570
% 7.83/1.88 # Non-unit-clauses : 1748
% 7.83/1.88 # Current number of unprocessed clauses: 14618
% 7.83/1.88 # ...number of literals in the above : 40175
% 7.83/1.88 # Current number of archived formulas : 0
% 7.83/1.88 # Current number of archived clauses : 1069
% 7.83/1.88 # Clause-clause subsumption calls (NU) : 902549
% 7.83/1.88 # Rec. Clause-clause subsumption calls : 294344
% 7.83/1.88 # Non-unit clause-clause subsumptions : 655
% 7.83/1.88 # Unit Clause-clause subsumption calls : 94952
% 7.83/1.88 # Rewrite failures with RHS unbound : 0
% 7.83/1.88 # BW rewrite match attempts : 2131
% 7.83/1.88 # BW rewrite match successes : 64
% 7.83/1.88 # Condensation attempts : 0
% 7.83/1.88 # Condensation successes : 0
% 7.83/1.88 # Termbank termtop insertions : 723302
% 7.83/1.88 # Search garbage collected termcells : 135839
% 7.83/1.88
% 7.83/1.88 # -------------------------------------------------
% 7.83/1.88 # User time : 0.903 s
% 7.83/1.88 # System time : 0.050 s
% 7.83/1.88 # Total time : 0.953 s
% 7.83/1.88 # Maximum resident set size: 27112 pages
% 7.83/1.88
% 7.83/1.88 # -------------------------------------------------
% 7.83/1.88 # User time : 2.851 s
% 7.83/1.88 # System time : 0.111 s
% 7.83/1.88 # Total time : 2.962 s
% 7.83/1.88 # Maximum resident set size: 20676 pages
% 7.83/1.88 % E---3.1 exiting
%------------------------------------------------------------------------------