%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : ALG222+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 11:55:39 AM UTC 2026
% Result : Theorem 0.30s 0.63s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 64 ( 33 unt; 0 def)
% Number of atoms : 520 ( 6 equ)
% Maximal formula atoms : 44 ( 8 avg)
% Number of connectives : 701 ( 245 ~; 229 |; 189 &)
% ( 0 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 8 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 101 ( 2 sgn 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t18_rmod_5,conjecture,
! [X1] :
( ( l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v7_group_1(X1)
& v4_group_1(X1)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> m1_rmod_2(k1_rmod_5(X1,X2,k5_subset_1(u1_struct_0(X2),X3,X4)),X1,k2_rmod_3(X1,X2,k1_rmod_5(X1,X2,X3),k1_rmod_5(X1,X2,X4))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_rmod_5) ).
fof(redefinition_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> k5_subset_1(X1,X2,X3) = k3_xboole_0(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(t24_rmod_3,axiom,
! [X1] :
( ( l3_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v4_group_1(X1)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_rmod_2(X3,X1,X2)
=> ! [X4] :
( m1_rmod_2(X4,X1,X2)
=> ! [X5] :
( m1_rmod_2(X5,X1,X2)
=> ( ( m1_rmod_2(X3,X1,X5)
& m1_rmod_2(X3,X1,X4) )
=> m1_rmod_2(X3,X1,k2_rmod_3(X1,X2,X4,X5)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_rmod_3) ).
fof(t15_rmod_5,axiom,
! [X1] :
( ( l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v7_group_1(X1)
& v4_group_1(X1)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( r1_tarski(X3,X4)
=> m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,k1_rmod_5(X1,X2,X4)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_rmod_5) ).
fof(t17_xboole_1,axiom,
! [X1,X2] : r1_tarski(k3_xboole_0(X1,X2),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(commutativity_k3_xboole_0,axiom,
! [X1,X2] : k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(dt_k5_subset_1,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(X1))
& m1_subset_1(X2,k1_zfmisc_1(X1)) )
=> m1_subset_1(k5_subset_1(X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_subset_1) ).
fof(dt_k1_rmod_5,axiom,
! [X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
& l1_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2)
& l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v7_group_1(X1)
& v4_group_1(X1)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ( m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,X2)
& v3_vectsp_2(k1_rmod_5(X1,X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_rmod_5) ).
fof(c_0_8,negated_conjecture,
~ ! [X1] :
( ( l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v7_group_1(X1)
& v4_group_1(X1)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> m1_rmod_2(k1_rmod_5(X1,X2,k5_subset_1(u1_struct_0(X2),X3,X4)),X1,k2_rmod_3(X1,X2,k1_rmod_5(X1,X2,X3),k1_rmod_5(X1,X2,X4))) ) ) ) ),
inference(assume_negation,[status(cth)],[t18_rmod_5]) ).
fof(c_0_9,negated_conjecture,
~ ! [X1] :
( ( l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v7_group_1(X1)
& v4_group_1(X1)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> m1_rmod_2(k1_rmod_5(X1,X2,k5_subset_1(u1_struct_0(X2),X3,X4)),X1,k2_rmod_3(X1,X2,k1_rmod_5(X1,X2,X3),k1_rmod_5(X1,X2,X4))) ) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_10,negated_conjecture,
( ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,k2_rmod_3(esk1_0,esk2_0,k1_rmod_5(esk1_0,esk2_0,esk3_0),k1_rmod_5(esk1_0,esk2_0,esk4_0)))
& m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0)))
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0)))
& l1_vectsp_2(esk2_0,esk1_0)
& v5_vectsp_2(esk2_0,esk1_0)
& v6_rlvect_1(esk2_0)
& v5_rlvect_1(esk2_0)
& v4_rlvect_1(esk2_0)
& v3_rlvect_1(esk2_0)
& ~ v3_struct_0(esk2_0)
& l3_vectsp_1(esk1_0)
& v2_vectsp_2(esk1_0)
& ~ v10_vectsp_1(esk1_0)
& v8_vectsp_1(esk1_0)
& v7_vectsp_1(esk1_0)
& v6_vectsp_1(esk1_0)
& v7_group_1(esk1_0)
& v4_group_1(esk1_0)
& v6_rlvect_1(esk1_0)
& v5_rlvect_1(esk1_0)
& v4_rlvect_1(esk1_0)
& v3_rlvect_1(esk1_0)
& ~ v3_struct_0(esk1_0) ),
inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])]) ).
fof(c_0_11,plain,
! [X49,X50,X51] :
( k5_subset_1(X49,X50,X51) = k3_xboole_0(X50,X51)
| ~ m1_subset_1(X51,k1_zfmisc_1(X49))
| ~ m1_subset_1(X50,k1_zfmisc_1(X49)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[redefinition_k5_subset_1])])]) ).
fof(c_0_12,plain,
! [X1] :
( ( l3_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v4_group_1(X1)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_rmod_2(X3,X1,X2)
=> ! [X4] :
( m1_rmod_2(X4,X1,X2)
=> ! [X5] :
( m1_rmod_2(X5,X1,X2)
=> ( ( m1_rmod_2(X3,X1,X5)
& m1_rmod_2(X3,X1,X4) )
=> m1_rmod_2(X3,X1,k2_rmod_3(X1,X2,X4,X5)) ) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t24_rmod_3]) ).
cnf(c_0_13,negated_conjecture,
~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k5_subset_1(u1_struct_0(esk2_0),esk3_0,esk4_0)),esk1_0,k2_rmod_3(esk1_0,esk2_0,k1_rmod_5(esk1_0,esk2_0,esk3_0),k1_rmod_5(esk1_0,esk2_0,esk4_0))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_14,plain,
( ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| k5_subset_1(X2,X1,X3) = k3_xboole_0(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_15,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_17,plain,
! [X28,X29,X30,X31,X32] :
( m1_rmod_2(X30,X28,k2_rmod_3(X28,X29,X31,X32))
| ~ m1_rmod_2(X30,X28,X32)
| ~ m1_rmod_2(X30,X28,X31)
| ~ m1_rmod_2(X32,X28,X29)
| ~ m1_rmod_2(X31,X28,X29)
| ~ m1_rmod_2(X30,X28,X29)
| ~ l1_vectsp_2(X29,X28)
| ~ v5_vectsp_2(X29,X28)
| ~ v6_rlvect_1(X29)
| ~ v5_rlvect_1(X29)
| ~ v4_rlvect_1(X29)
| ~ v3_rlvect_1(X29)
| v3_struct_0(X29)
| ~ l3_vectsp_1(X28)
| ~ v8_vectsp_1(X28)
| ~ v7_vectsp_1(X28)
| ~ v6_vectsp_1(X28)
| ~ v4_group_1(X28)
| ~ v6_rlvect_1(X28)
| ~ v5_rlvect_1(X28)
| ~ v4_rlvect_1(X28)
| ~ v3_rlvect_1(X28)
| v3_struct_0(X28) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])]) ).
fof(c_0_18,plain,
! [X1] :
( ( l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v7_group_1(X1)
& v4_group_1(X1)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ! [X2] :
( ( l1_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( r1_tarski(X3,X4)
=> m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,k1_rmod_5(X1,X2,X4)) ) ) ) ) ),
inference(fof_simplification,[status(thm)],[t15_rmod_5]) ).
fof(c_0_19,plain,
! [X75,X76] : r1_tarski(k3_xboole_0(X75,X76),X75),
inference(variable_rename,[status(thm)],[t17_xboole_1]) ).
fof(c_0_20,plain,
! [X79,X80] : k3_xboole_0(X79,X80) = k3_xboole_0(X80,X79),
inference(variable_rename,[status(thm)],[commutativity_k3_xboole_0]) ).
cnf(c_0_21,negated_conjecture,
~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k3_xboole_0(esk3_0,esk4_0)),esk1_0,k2_rmod_3(esk1_0,esk2_0,k1_rmod_5(esk1_0,esk2_0,esk3_0),k1_rmod_5(esk1_0,esk2_0,esk4_0))),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16])]) ).
cnf(c_0_22,plain,
( ~ m1_rmod_2(X3,X1,X5)
| ~ m1_rmod_2(X3,X1,X4)
| ~ m1_rmod_2(X5,X1,X2)
| ~ m1_rmod_2(X4,X1,X2)
| ~ m1_rmod_2(X3,X1,X2)
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| m1_rmod_2(X3,X1,k2_rmod_3(X1,X2,X4,X5))
| v3_struct_0(X2)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_23,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_24,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_25,negated_conjecture,
l3_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_26,negated_conjecture,
v8_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_27,negated_conjecture,
v7_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_28,negated_conjecture,
v6_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_29,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_30,negated_conjecture,
v6_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_31,negated_conjecture,
v6_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_32,negated_conjecture,
v5_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_33,negated_conjecture,
v5_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_34,negated_conjecture,
v4_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_35,negated_conjecture,
v4_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_36,negated_conjecture,
v3_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_37,negated_conjecture,
v3_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_38,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_39,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_40,plain,
! [X36,X37,X38,X39] :
( m1_rmod_2(k1_rmod_5(X36,X37,X38),X36,k1_rmod_5(X36,X37,X39))
| ~ r1_tarski(X38,X39)
| ~ m1_subset_1(X39,k1_zfmisc_1(u1_struct_0(X37)))
| ~ m1_subset_1(X38,k1_zfmisc_1(u1_struct_0(X37)))
| ~ l1_vectsp_2(X37,X36)
| ~ v5_vectsp_2(X37,X36)
| ~ v6_rlvect_1(X37)
| ~ v5_rlvect_1(X37)
| ~ v4_rlvect_1(X37)
| ~ v3_rlvect_1(X37)
| v3_struct_0(X37)
| ~ l3_vectsp_1(X36)
| ~ v2_vectsp_2(X36)
| v10_vectsp_1(X36)
| ~ v8_vectsp_1(X36)
| ~ v7_vectsp_1(X36)
| ~ v6_vectsp_1(X36)
| ~ v7_group_1(X36)
| ~ v4_group_1(X36)
| ~ v6_rlvect_1(X36)
| ~ v5_rlvect_1(X36)
| ~ v4_rlvect_1(X36)
| ~ v3_rlvect_1(X36)
| v3_struct_0(X36) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_18])])])]) ).
cnf(c_0_41,plain,
r1_tarski(k3_xboole_0(X1,X2),X1),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_42,plain,
k3_xboole_0(X1,X2) = k3_xboole_0(X2,X1),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_43,negated_conjecture,
( ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk4_0),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k3_xboole_0(esk3_0,esk4_0)),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k3_xboole_0(esk3_0,esk4_0)),esk1_0,k1_rmod_5(esk1_0,esk2_0,esk3_0))
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k3_xboole_0(esk3_0,esk4_0)),esk1_0,k1_rmod_5(esk1_0,esk2_0,esk4_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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_21,c_0_22]),c_0_23]),c_0_24]),c_0_25]),c_0_26]),c_0_27]),c_0_28]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37])]),c_0_38]),c_0_39]) ).
cnf(c_0_44,plain,
( ~ r1_tarski(X3,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,k1_rmod_5(X1,X2,X4))
| v3_struct_0(X2)
| v10_vectsp_1(X1)
| v3_struct_0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_40]) ).
cnf(c_0_45,plain,
r1_tarski(k3_xboole_0(X1,X2),X2),
inference(spm,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_46,negated_conjecture,
v2_vectsp_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_47,negated_conjecture,
v7_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_48,negated_conjecture,
~ v10_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_49,plain,
! [X43,X44,X45] :
( m1_subset_1(k5_subset_1(X43,X44,X45),k1_zfmisc_1(X43))
| ~ m1_subset_1(X45,k1_zfmisc_1(X43))
| ~ m1_subset_1(X44,k1_zfmisc_1(X43)) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k5_subset_1])])]) ).
fof(c_0_50,plain,
! [X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
& l1_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& v6_rlvect_1(X2)
& v5_rlvect_1(X2)
& v4_rlvect_1(X2)
& v3_rlvect_1(X2)
& ~ v3_struct_0(X2)
& l3_vectsp_1(X1)
& v2_vectsp_2(X1)
& ~ v10_vectsp_1(X1)
& v8_vectsp_1(X1)
& v7_vectsp_1(X1)
& v6_vectsp_1(X1)
& v7_group_1(X1)
& v4_group_1(X1)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& ~ v3_struct_0(X1) )
=> ( m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,X2)
& v3_vectsp_2(k1_rmod_5(X1,X2,X3),X1) ) ),
inference(fof_simplification,[status(thm)],[dt_k1_rmod_5]) ).
cnf(c_0_51,negated_conjecture,
( ~ m1_subset_1(k3_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk4_0),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k3_xboole_0(esk3_0,esk4_0)),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k3_xboole_0(esk3_0,esk4_0)),esk1_0,k1_rmod_5(esk1_0,esk2_0,esk3_0)) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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_43,c_0_44]),c_0_45]),c_0_15]),c_0_23]),c_0_24]),c_0_25]),c_0_46]),c_0_26]),c_0_27]),c_0_28]),c_0_47]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37])]),c_0_48]),c_0_38]),c_0_39]) ).
cnf(c_0_52,plain,
( ~ m1_subset_1(X3,k1_zfmisc_1(X2))
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| m1_subset_1(k5_subset_1(X2,X1,X3),k1_zfmisc_1(X2)) ),
inference(split_conjunct,[status(thm)],[c_0_49]) ).
fof(c_0_53,plain,
! [X33,X34,X35] :
( ( ~ m1_subset_1(X35,k1_zfmisc_1(u1_struct_0(X34)))
| ~ l1_vectsp_2(X34,X33)
| ~ v5_vectsp_2(X34,X33)
| ~ v6_rlvect_1(X34)
| ~ v5_rlvect_1(X34)
| ~ v4_rlvect_1(X34)
| ~ v3_rlvect_1(X34)
| v3_struct_0(X34)
| ~ l3_vectsp_1(X33)
| ~ v2_vectsp_2(X33)
| v10_vectsp_1(X33)
| ~ v8_vectsp_1(X33)
| ~ v7_vectsp_1(X33)
| ~ v6_vectsp_1(X33)
| ~ v7_group_1(X33)
| ~ v4_group_1(X33)
| ~ v6_rlvect_1(X33)
| ~ v5_rlvect_1(X33)
| ~ v4_rlvect_1(X33)
| ~ v3_rlvect_1(X33)
| v3_struct_0(X33)
| m1_rmod_2(k1_rmod_5(X33,X34,X35),X33,X34) )
& ( ~ m1_subset_1(X35,k1_zfmisc_1(u1_struct_0(X34)))
| ~ l1_vectsp_2(X34,X33)
| ~ v5_vectsp_2(X34,X33)
| ~ v6_rlvect_1(X34)
| ~ v5_rlvect_1(X34)
| ~ v4_rlvect_1(X34)
| ~ v3_rlvect_1(X34)
| v3_struct_0(X34)
| ~ l3_vectsp_1(X33)
| ~ v2_vectsp_2(X33)
| v10_vectsp_1(X33)
| ~ v8_vectsp_1(X33)
| ~ v7_vectsp_1(X33)
| ~ v6_vectsp_1(X33)
| ~ v7_group_1(X33)
| ~ v4_group_1(X33)
| ~ v6_rlvect_1(X33)
| ~ v5_rlvect_1(X33)
| ~ v4_rlvect_1(X33)
| ~ v3_rlvect_1(X33)
| v3_struct_0(X33)
| v3_vectsp_2(k1_rmod_5(X33,X34,X35),X33) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_50])])])]) ).
cnf(c_0_54,negated_conjecture,
( ~ m1_subset_1(k3_xboole_0(esk3_0,esk4_0),k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk4_0),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k3_xboole_0(esk3_0,esk4_0)),esk1_0,esk2_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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_51,c_0_44]),c_0_41]),c_0_16]),c_0_23]),c_0_24]),c_0_25]),c_0_46]),c_0_26]),c_0_27]),c_0_28]),c_0_47]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37])]),c_0_48]),c_0_38]),c_0_39]) ).
cnf(c_0_55,plain,
( ~ m1_subset_1(X1,k1_zfmisc_1(X3))
| ~ m1_subset_1(X2,k1_zfmisc_1(X3))
| m1_subset_1(k3_xboole_0(X1,X2),k1_zfmisc_1(X3)) ),
inference(spm,[status(thm)],[c_0_52,c_0_14]) ).
cnf(c_0_56,plain,
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ l1_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ v8_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_group_1(X1)
| ~ v4_group_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X1)
| v3_struct_0(X1)
| m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_53]) ).
cnf(c_0_57,negated_conjecture,
( ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk4_0),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,k3_xboole_0(esk3_0,esk4_0)),esk1_0,esk2_0) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_54,c_0_55]),c_0_15]),c_0_16])]) ).
cnf(c_0_58,plain,
( ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
| v3_struct_0(X1)
| v3_struct_0(X2)
| v10_vectsp_1(X1)
| m1_rmod_2(k1_rmod_5(X1,X2,k3_xboole_0(X3,X4)),X1,X2) ),
inference(spm,[status(thm)],[c_0_56,c_0_55]) ).
cnf(c_0_59,negated_conjecture,
( ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk1_0,esk2_0)
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk4_0),esk1_0,esk2_0) ),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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_57,c_0_58]),c_0_15]),c_0_16]),c_0_23]),c_0_24]),c_0_25]),c_0_46]),c_0_26]),c_0_27]),c_0_28]),c_0_47]),c_0_29]),c_0_30]),c_0_31]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37])]),c_0_48]),c_0_39]),c_0_38]) ).
cnf(c_0_60,negated_conjecture,
( ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(esk2_0,X1)
| ~ l1_vectsp_2(esk2_0,X1)
| v3_struct_0(X1)
| v10_vectsp_1(X1)
| m1_rmod_2(k1_rmod_5(X1,esk2_0,esk4_0),X1,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_56,c_0_15]),c_0_30]),c_0_32]),c_0_34]),c_0_36])]),c_0_39]) ).
cnf(c_0_61,negated_conjecture,
~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,esk3_0),esk1_0,esk2_0),
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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_59,c_0_60]),c_0_23]),c_0_24]),c_0_25]),c_0_46]),c_0_26]),c_0_27]),c_0_28]),c_0_47]),c_0_29]),c_0_31]),c_0_33]),c_0_35]),c_0_37])]),c_0_48]),c_0_38]) ).
cnf(c_0_62,negated_conjecture,
( ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v7_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ v2_vectsp_2(X1)
| ~ l3_vectsp_1(X1)
| ~ v5_vectsp_2(esk2_0,X1)
| ~ l1_vectsp_2(esk2_0,X1)
| v3_struct_0(X1)
| v10_vectsp_1(X1)
| m1_rmod_2(k1_rmod_5(X1,esk2_0,esk3_0),X1,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_56,c_0_16]),c_0_30]),c_0_32]),c_0_34]),c_0_36])]),c_0_39]) ).
cnf(c_0_63,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[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_61,c_0_62]),c_0_23]),c_0_24]),c_0_25]),c_0_46]),c_0_26]),c_0_27]),c_0_28]),c_0_47]),c_0_29]),c_0_31]),c_0_33]),c_0_35]),c_0_37])]),c_0_48]),c_0_38]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : ALG222+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.19/0.45 % Computer : n016.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 13:09:54 UTC 2026
% 0.19/0.46 % CPUTime :
% 0.19/0.46 Running run_E /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.52 Running first-order theorem proving
% 0.25/0.53 Running: /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p
% 0.30/0.63 % Version: 3.5.1
% 0.30/0.63 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.30/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.30/0.63 % Starting new_bool_3 with 300s (1) cores
% 0.30/0.63 % Starting new_bool_1 with 300s (1) cores
% 0.30/0.63 % Starting sh5l with 300s (1) cores
% 0.30/0.63 % new_bool_3 with pid 2482048 completed with status 0
% 0.30/0.63 % Result found by new_bool_3
% 0.30/0.63 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.30/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.30/0.63 % Starting new_bool_3 with 300s (1) cores
% 0.30/0.63 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.30/0.63 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.30/0.63 % Search class: FGHSM-FSLM31-MFFFFFNN
% 0.30/0.63 % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.30/0.63 % Starting SubtermCWHack with 28s (1) cores
% 0.30/0.63 % SubtermCWHack with pid 2482056 completed with status 0
% 0.30/0.63 % Result found by SubtermCWHack
% 0.30/0.63 % Preprocessing class: FSLSSMSSSSSNFFN.
% 0.30/0.63 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 0.30/0.63 % Starting G-E--_207_C18_F1_SE_CS_SP_PI_PS_S5PRR_S2S with 1500s (5) cores
% 0.30/0.63 % Starting new_bool_3 with 300s (1) cores
% 0.30/0.63 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 0.30/0.63 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 0.30/0.63 % Search class: FGHSM-FSLM31-MFFFFFNN
% 0.30/0.63 % Scheduled 8 strats onto 1 cores with 300 seconds (300 total)
% 0.30/0.63 % Starting SubtermCWHack with 28s (1) cores
% 0.30/0.63 % Preprocessing time : 0.002 s
% 0.30/0.63
% 0.30/0.63 % Proof found!
% 0.30/0.63 % SZS status Theorem
% 0.30/0.63 % SZS output start CNFRefutation
% See solution above
% 0.30/0.63 % Parsed axioms : 79
% 0.30/0.63 % Removed by relevancy pruning/SinE : 45
% 0.30/0.63 % Initial clauses : 91
% 0.30/0.63 % Removed in clause preprocessing : 0
% 0.30/0.63 % Initial clauses in saturation : 91
% 0.30/0.63 % Processed clauses : 343
% 0.30/0.63 % ...of these trivial : 4
% 0.30/0.63 % ...subsumed : 143
% 0.30/0.63 % ...remaining for further processing : 196
% 0.30/0.63 % Other redundant clauses eliminated : 0
% 0.30/0.63 % Clauses deleted for lack of memory : 0
% 0.30/0.63 % Backward-subsumed : 8
% 0.30/0.63 % Backward-rewritten : 2
% 0.30/0.63 % Generated clauses : 379
% 0.30/0.63 % ...of the previous two non-redundant : 351
% 0.30/0.63 % ...aggressively subsumed : 0
% 0.30/0.63 % Contextual simplify-reflections : 0
% 0.30/0.63 % Paramodulations : 379
% 0.30/0.63 % Factorizations : 0
% 0.30/0.63 % NegExts : 0
% 0.30/0.63 % Equation resolutions : 0
% 0.30/0.63 % Disequality decompositions : 0
% 0.30/0.63 % Total rewrite steps : 282
% 0.30/0.64 % ...of those cached : 240
% 0.30/0.64 % Propositional unsat checks : 0
% 0.30/0.64 % Propositional check models : 0
% 0.30/0.64 % Propositional check unsatisfiable : 0
% 0.30/0.64 % Propositional clauses : 0
% 0.30/0.64 % Propositional clauses after purity: 0
% 0.30/0.64 % Propositional unsat core size : 0
% 0.30/0.64 % Propositional preprocessing time : 0.000
% 0.30/0.64 % Propositional encoding time : 0.000
% 0.30/0.64 % Propositional solver time : 0.000
% 0.30/0.64 % Success case prop preproc time : 0.000
% 0.30/0.64 % Success case prop encoding time : 0.000
% 0.30/0.64 % Success case prop solver time : 0.000
% 0.30/0.64 % Current number of processed clauses : 186
% 0.30/0.64 % Positive orientable unit clauses : 33
% 0.30/0.64 % Positive unorientable unit clauses: 1
% 0.30/0.64 % Negative unit clauses : 11
% 0.30/0.64 % Non-unit-clauses : 141
% 0.30/0.64 % Current number of unprocessed clauses: 88
% 0.30/0.64 % ...number of literals in the above : 1965
% 0.30/0.64 % Current number of archived formulas : 0
% 0.30/0.64 % Current number of archived clauses : 10
% 0.30/0.64 % Clause-clause subsumption calls (NU) : 55695
% 0.30/0.64 % Rec. Clause-clause subsumption calls : 548
% 0.30/0.64 % Non-unit clause-clause subsumptions : 145
% 0.30/0.64 % Unit Clause-clause subsumption calls : 27
% 0.30/0.64 % Rewrite failures with RHS unbound : 0
% 0.30/0.64 % BW rewrite match attempts : 12
% 0.30/0.64 % BW rewrite match successes : 5
% 0.30/0.64 % Condensation attempts : 0
% 0.30/0.64 % Condensation successes : 0
% 0.30/0.64 % Termbank termtop insertions : 31164
% 0.30/0.64 % Search garbage collected termcells : 1977
% 0.30/0.64
% 0.30/0.64 % -------------------------------------------------
% 0.30/0.64 % User time : 0.059 s
% 0.30/0.64 % System time : 0.005 s
% 0.30/0.64 % Total time : 0.064 s
% 0.30/0.64 % Maximum resident set size: 3984 pages
% 0.30/0.64
% 0.30/0.64 % -------------------------------------------------
% 0.30/0.64 % User time : 0.064 s
% 0.30/0.64 % System time : 0.009 s
% 0.30/0.64 % Total time : 0.072 s
% 0.30/0.64 % Maximum resident set size: 4864 pages
% 0.30/0.64 % E exiting
%------------------------------------------------------------------------------