%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : ALG220+1 : TPTP v9.2.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n010.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 : Tue May 5 04:08:17 PM UTC 2026
% Result : Theorem 1.29s 1.74s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 58 ( 27 unt; 0 def)
% Number of atoms : 804 ( 16 equ)
% Maximal formula atoms : 133 ( 13 avg)
% Number of connectives : 1203 ( 457 ~; 470 |; 242 &)
% ( 0 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 11 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-3 aty)
% Number of variables : 88 ( 0 sgn 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t33_rmod_2,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v3_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v3_rlvect_1(X3)
& v4_rlvect_1(X3)
& v5_rlvect_1(X3)
& v6_rlvect_1(X3)
& v3_vectsp_2(X3,X1)
& v5_vectsp_2(X3,X1)
& l1_vectsp_2(X3,X1) )
=> ( ( m1_rmod_2(X3,X1,X2)
& m1_rmod_2(X2,X1,X3) )
=> X3 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t33_rmod_2) ).
fof(dt_m1_rmod_2,axiom,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1)
& ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_rmod_2(X3,X1,X2)
=> ( ~ v3_struct_0(X3)
& v3_rlvect_1(X3)
& v4_rlvect_1(X3)
& v5_rlvect_1(X3)
& v6_rlvect_1(X3)
& v5_vectsp_2(X3,X1)
& l1_vectsp_2(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_rmod_2) ).
fof(t15_rmod_5,axiom,
! [X1] :
( ( ~ v3_struct_0(X1)
& 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)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [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/sandbox2/benchmark/theBenchmark.p',t15_rmod_5) ).
fof(t16_rmod_5,conjecture,
! [X1] :
( ( ~ v3_struct_0(X1)
& 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)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v3_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( ( k1_rmod_5(X1,X2,X3) = X2
& r1_tarski(X3,X4) )
=> k1_rmod_5(X1,X2,X4) = X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_rmod_5) ).
fof(dt_k1_rmod_5,axiom,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& 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)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(X1)
& l3_vectsp_1(X1)
& ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
=> ( v3_vectsp_2(k1_rmod_5(X1,X2,X3),X1)
& m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_rmod_5) ).
fof(c_0_5,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v3_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( ( ~ v3_struct_0(X3)
& v3_rlvect_1(X3)
& v4_rlvect_1(X3)
& v5_rlvect_1(X3)
& v6_rlvect_1(X3)
& v3_vectsp_2(X3,X1)
& v5_vectsp_2(X3,X1)
& l1_vectsp_2(X3,X1) )
=> ( ( m1_rmod_2(X3,X1,X2)
& m1_rmod_2(X2,X1,X3) )
=> X3 = X2 ) ) ) ),
inference(fof_simplification,[status(thm)],[t33_rmod_2]) ).
fof(c_0_6,plain,
! [X1,X2] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v4_group_1(X1)
& v6_vectsp_1(X1)
& v7_vectsp_1(X1)
& v8_vectsp_1(X1)
& l3_vectsp_1(X1)
& ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_rmod_2(X3,X1,X2)
=> ( ~ v3_struct_0(X3)
& v3_rlvect_1(X3)
& v4_rlvect_1(X3)
& v5_rlvect_1(X3)
& v6_rlvect_1(X3)
& v5_vectsp_2(X3,X1)
& l1_vectsp_2(X3,X1) ) ) ),
inference(fof_simplification,[status(thm)],[dt_m1_rmod_2]) ).
fof(c_0_7,plain,
! [X1] :
( ( ~ v3_struct_0(X1)
& 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)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [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_8,negated_conjecture,
~ ! [X1] :
( ( ~ v3_struct_0(X1)
& 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)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(X1)
& l3_vectsp_1(X1) )
=> ! [X2] :
( ( ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v3_vectsp_2(X2,X1)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1) )
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2)))
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X2)))
=> ( ( k1_rmod_5(X1,X2,X3) = X2
& r1_tarski(X3,X4) )
=> k1_rmod_5(X1,X2,X4) = X2 ) ) ) ) ),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[t16_rmod_5])]) ).
fof(c_0_9,plain,
! [X250,X251,X252] :
( v3_struct_0(X250)
| ~ v3_rlvect_1(X250)
| ~ v4_rlvect_1(X250)
| ~ v5_rlvect_1(X250)
| ~ v6_rlvect_1(X250)
| ~ v4_group_1(X250)
| ~ v6_vectsp_1(X250)
| ~ v7_vectsp_1(X250)
| ~ v8_vectsp_1(X250)
| ~ l3_vectsp_1(X250)
| v3_struct_0(X251)
| ~ v3_rlvect_1(X251)
| ~ v4_rlvect_1(X251)
| ~ v5_rlvect_1(X251)
| ~ v6_rlvect_1(X251)
| ~ v3_vectsp_2(X251,X250)
| ~ v5_vectsp_2(X251,X250)
| ~ l1_vectsp_2(X251,X250)
| v3_struct_0(X252)
| ~ v3_rlvect_1(X252)
| ~ v4_rlvect_1(X252)
| ~ v5_rlvect_1(X252)
| ~ v6_rlvect_1(X252)
| ~ v3_vectsp_2(X252,X250)
| ~ v5_vectsp_2(X252,X250)
| ~ l1_vectsp_2(X252,X250)
| ~ m1_rmod_2(X252,X250,X251)
| ~ m1_rmod_2(X251,X250,X252)
| X252 = X251 ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_5])])]) ).
fof(c_0_10,plain,
! [X168,X169,X170] :
( ( ~ v3_struct_0(X170)
| ~ m1_rmod_2(X170,X168,X169)
| v3_struct_0(X168)
| ~ v3_rlvect_1(X168)
| ~ v4_rlvect_1(X168)
| ~ v5_rlvect_1(X168)
| ~ v6_rlvect_1(X168)
| ~ v4_group_1(X168)
| ~ v6_vectsp_1(X168)
| ~ v7_vectsp_1(X168)
| ~ v8_vectsp_1(X168)
| ~ l3_vectsp_1(X168)
| v3_struct_0(X169)
| ~ v3_rlvect_1(X169)
| ~ v4_rlvect_1(X169)
| ~ v5_rlvect_1(X169)
| ~ v6_rlvect_1(X169)
| ~ v5_vectsp_2(X169,X168)
| ~ l1_vectsp_2(X169,X168) )
& ( v3_rlvect_1(X170)
| ~ m1_rmod_2(X170,X168,X169)
| v3_struct_0(X168)
| ~ v3_rlvect_1(X168)
| ~ v4_rlvect_1(X168)
| ~ v5_rlvect_1(X168)
| ~ v6_rlvect_1(X168)
| ~ v4_group_1(X168)
| ~ v6_vectsp_1(X168)
| ~ v7_vectsp_1(X168)
| ~ v8_vectsp_1(X168)
| ~ l3_vectsp_1(X168)
| v3_struct_0(X169)
| ~ v3_rlvect_1(X169)
| ~ v4_rlvect_1(X169)
| ~ v5_rlvect_1(X169)
| ~ v6_rlvect_1(X169)
| ~ v5_vectsp_2(X169,X168)
| ~ l1_vectsp_2(X169,X168) )
& ( v4_rlvect_1(X170)
| ~ m1_rmod_2(X170,X168,X169)
| v3_struct_0(X168)
| ~ v3_rlvect_1(X168)
| ~ v4_rlvect_1(X168)
| ~ v5_rlvect_1(X168)
| ~ v6_rlvect_1(X168)
| ~ v4_group_1(X168)
| ~ v6_vectsp_1(X168)
| ~ v7_vectsp_1(X168)
| ~ v8_vectsp_1(X168)
| ~ l3_vectsp_1(X168)
| v3_struct_0(X169)
| ~ v3_rlvect_1(X169)
| ~ v4_rlvect_1(X169)
| ~ v5_rlvect_1(X169)
| ~ v6_rlvect_1(X169)
| ~ v5_vectsp_2(X169,X168)
| ~ l1_vectsp_2(X169,X168) )
& ( v5_rlvect_1(X170)
| ~ m1_rmod_2(X170,X168,X169)
| v3_struct_0(X168)
| ~ v3_rlvect_1(X168)
| ~ v4_rlvect_1(X168)
| ~ v5_rlvect_1(X168)
| ~ v6_rlvect_1(X168)
| ~ v4_group_1(X168)
| ~ v6_vectsp_1(X168)
| ~ v7_vectsp_1(X168)
| ~ v8_vectsp_1(X168)
| ~ l3_vectsp_1(X168)
| v3_struct_0(X169)
| ~ v3_rlvect_1(X169)
| ~ v4_rlvect_1(X169)
| ~ v5_rlvect_1(X169)
| ~ v6_rlvect_1(X169)
| ~ v5_vectsp_2(X169,X168)
| ~ l1_vectsp_2(X169,X168) )
& ( v6_rlvect_1(X170)
| ~ m1_rmod_2(X170,X168,X169)
| v3_struct_0(X168)
| ~ v3_rlvect_1(X168)
| ~ v4_rlvect_1(X168)
| ~ v5_rlvect_1(X168)
| ~ v6_rlvect_1(X168)
| ~ v4_group_1(X168)
| ~ v6_vectsp_1(X168)
| ~ v7_vectsp_1(X168)
| ~ v8_vectsp_1(X168)
| ~ l3_vectsp_1(X168)
| v3_struct_0(X169)
| ~ v3_rlvect_1(X169)
| ~ v4_rlvect_1(X169)
| ~ v5_rlvect_1(X169)
| ~ v6_rlvect_1(X169)
| ~ v5_vectsp_2(X169,X168)
| ~ l1_vectsp_2(X169,X168) )
& ( v5_vectsp_2(X170,X168)
| ~ m1_rmod_2(X170,X168,X169)
| v3_struct_0(X168)
| ~ v3_rlvect_1(X168)
| ~ v4_rlvect_1(X168)
| ~ v5_rlvect_1(X168)
| ~ v6_rlvect_1(X168)
| ~ v4_group_1(X168)
| ~ v6_vectsp_1(X168)
| ~ v7_vectsp_1(X168)
| ~ v8_vectsp_1(X168)
| ~ l3_vectsp_1(X168)
| v3_struct_0(X169)
| ~ v3_rlvect_1(X169)
| ~ v4_rlvect_1(X169)
| ~ v5_rlvect_1(X169)
| ~ v6_rlvect_1(X169)
| ~ v5_vectsp_2(X169,X168)
| ~ l1_vectsp_2(X169,X168) )
& ( l1_vectsp_2(X170,X168)
| ~ m1_rmod_2(X170,X168,X169)
| v3_struct_0(X168)
| ~ v3_rlvect_1(X168)
| ~ v4_rlvect_1(X168)
| ~ v5_rlvect_1(X168)
| ~ v6_rlvect_1(X168)
| ~ v4_group_1(X168)
| ~ v6_vectsp_1(X168)
| ~ v7_vectsp_1(X168)
| ~ v8_vectsp_1(X168)
| ~ l3_vectsp_1(X168)
| v3_struct_0(X169)
| ~ v3_rlvect_1(X169)
| ~ v4_rlvect_1(X169)
| ~ v5_rlvect_1(X169)
| ~ v6_rlvect_1(X169)
| ~ v5_vectsp_2(X169,X168)
| ~ l1_vectsp_2(X169,X168) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_6])])])]) ).
fof(c_0_11,plain,
! [X242,X243,X244,X245] :
( v3_struct_0(X242)
| ~ v3_rlvect_1(X242)
| ~ v4_rlvect_1(X242)
| ~ v5_rlvect_1(X242)
| ~ v6_rlvect_1(X242)
| ~ v4_group_1(X242)
| ~ v7_group_1(X242)
| ~ v6_vectsp_1(X242)
| ~ v7_vectsp_1(X242)
| ~ v8_vectsp_1(X242)
| v10_vectsp_1(X242)
| ~ v2_vectsp_2(X242)
| ~ l3_vectsp_1(X242)
| v3_struct_0(X243)
| ~ v3_rlvect_1(X243)
| ~ v4_rlvect_1(X243)
| ~ v5_rlvect_1(X243)
| ~ v6_rlvect_1(X243)
| ~ v5_vectsp_2(X243,X242)
| ~ l1_vectsp_2(X243,X242)
| ~ m1_subset_1(X244,k1_zfmisc_1(u1_struct_0(X243)))
| ~ m1_subset_1(X245,k1_zfmisc_1(u1_struct_0(X243)))
| ~ r1_tarski(X244,X245)
| m1_rmod_2(k1_rmod_5(X242,X243,X244),X242,k1_rmod_5(X242,X243,X245)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])]) ).
fof(c_0_12,negated_conjecture,
( ~ v3_struct_0(esk1_0)
& v3_rlvect_1(esk1_0)
& v4_rlvect_1(esk1_0)
& v5_rlvect_1(esk1_0)
& v6_rlvect_1(esk1_0)
& v4_group_1(esk1_0)
& v7_group_1(esk1_0)
& v6_vectsp_1(esk1_0)
& v7_vectsp_1(esk1_0)
& v8_vectsp_1(esk1_0)
& ~ v10_vectsp_1(esk1_0)
& v2_vectsp_2(esk1_0)
& l3_vectsp_1(esk1_0)
& ~ v3_struct_0(esk2_0)
& v3_rlvect_1(esk2_0)
& v4_rlvect_1(esk2_0)
& v5_rlvect_1(esk2_0)
& v6_rlvect_1(esk2_0)
& v3_vectsp_2(esk2_0,esk1_0)
& v5_vectsp_2(esk2_0,esk1_0)
& l1_vectsp_2(esk2_0,esk1_0)
& m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0)))
& m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0)))
& k1_rmod_5(esk1_0,esk2_0,esk3_0) = esk2_0
& r1_tarski(esk3_0,esk4_0)
& k1_rmod_5(esk1_0,esk2_0,esk4_0) != esk2_0 ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])]) ).
cnf(c_0_13,plain,
( v3_struct_0(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| X3 = X2
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X1)
| ~ v6_vectsp_1(X1)
| ~ v7_vectsp_1(X1)
| ~ v8_vectsp_1(X1)
| ~ l3_vectsp_1(X1)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v3_vectsp_2(X2,X1)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v3_vectsp_2(X3,X1)
| ~ v5_vectsp_2(X3,X1)
| ~ l1_vectsp_2(X3,X1)
| ~ m1_rmod_2(X3,X1,X2)
| ~ m1_rmod_2(X2,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14,plain,
( v3_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m1_rmod_2(X1,X2,X3)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15,plain,
( v4_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m1_rmod_2(X1,X2,X3)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_16,plain,
( v5_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m1_rmod_2(X1,X2,X3)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_17,plain,
( v6_rlvect_1(X1)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m1_rmod_2(X1,X2,X3)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_18,plain,
( v5_vectsp_2(X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m1_rmod_2(X1,X2,X3)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_19,plain,
( l1_vectsp_2(X1,X2)
| v3_struct_0(X2)
| v3_struct_0(X3)
| ~ m1_rmod_2(X1,X2,X3)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_20,plain,
( v3_struct_0(X2)
| v3_struct_0(X3)
| ~ v3_struct_0(X1)
| ~ m1_rmod_2(X1,X2,X3)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v3_rlvect_1(X3)
| ~ v4_rlvect_1(X3)
| ~ v5_rlvect_1(X3)
| ~ v6_rlvect_1(X3)
| ~ v5_vectsp_2(X3,X2)
| ~ l1_vectsp_2(X3,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_21,plain,
( v3_struct_0(X1)
| v10_vectsp_1(X1)
| v3_struct_0(X2)
| m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,k1_rmod_5(X1,X2,X4))
| ~ 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)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ 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)))
| ~ r1_tarski(X3,X4) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_22,negated_conjecture,
k1_rmod_5(esk1_0,esk2_0,esk3_0) = esk2_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_23,negated_conjecture,
m1_subset_1(esk3_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_24,negated_conjecture,
l1_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_25,negated_conjecture,
v5_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_26,negated_conjecture,
l3_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_27,negated_conjecture,
v2_vectsp_2(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_28,negated_conjecture,
v8_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_29,negated_conjecture,
v7_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_30,negated_conjecture,
v6_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_31,negated_conjecture,
v7_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_32,negated_conjecture,
v4_group_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_33,negated_conjecture,
v6_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_34,negated_conjecture,
v6_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_35,negated_conjecture,
v5_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_36,negated_conjecture,
v5_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_37,negated_conjecture,
v4_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_38,negated_conjecture,
v4_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_39,negated_conjecture,
v3_rlvect_1(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_40,negated_conjecture,
v3_rlvect_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_41,negated_conjecture,
~ v10_vectsp_1(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_42,negated_conjecture,
~ v3_struct_0(esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_43,negated_conjecture,
~ v3_struct_0(esk2_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_44,plain,
! [X1,X2,X3] :
( ( ~ v3_struct_0(X1)
& 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)
& ~ v10_vectsp_1(X1)
& v2_vectsp_2(X1)
& l3_vectsp_1(X1)
& ~ v3_struct_0(X2)
& v3_rlvect_1(X2)
& v4_rlvect_1(X2)
& v5_rlvect_1(X2)
& v6_rlvect_1(X2)
& v5_vectsp_2(X2,X1)
& l1_vectsp_2(X2,X1)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) )
=> ( v3_vectsp_2(k1_rmod_5(X1,X2,X3),X1)
& m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,X2) ) ),
inference(fof_simplification,[status(thm)],[dt_k1_rmod_5]) ).
cnf(c_0_45,plain,
( X1 = X2
| v3_struct_0(X3)
| v3_struct_0(X2)
| ~ m1_rmod_2(X2,X3,X1)
| ~ m1_rmod_2(X1,X3,X2)
| ~ l1_vectsp_2(X2,X3)
| ~ v5_vectsp_2(X2,X3)
| ~ v3_vectsp_2(X2,X3)
| ~ v3_vectsp_2(X1,X3)
| ~ l3_vectsp_1(X3)
| ~ v8_vectsp_1(X3)
| ~ v7_vectsp_1(X3)
| ~ v6_vectsp_1(X3)
| ~ v4_group_1(X3)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X3)
| ~ v5_rlvect_1(X2)
| ~ v5_rlvect_1(X3)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X3)
| ~ v3_rlvect_1(X2)
| ~ v3_rlvect_1(X3) ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[c_0_13,c_0_14]),c_0_15]),c_0_16]),c_0_17]),c_0_18]),c_0_19]),c_0_20]) ).
cnf(c_0_46,negated_conjecture,
( m1_rmod_2(esk2_0,esk1_0,k1_rmod_5(esk1_0,esk2_0,X1))
| ~ r1_tarski(esk3_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_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(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]),c_0_40])]),c_0_41]),c_0_42]),c_0_43]) ).
cnf(c_0_47,negated_conjecture,
v3_vectsp_2(esk2_0,esk1_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
fof(c_0_48,plain,
! [X157,X158,X159] :
( ( v3_vectsp_2(k1_rmod_5(X157,X158,X159),X157)
| v3_struct_0(X157)
| ~ v3_rlvect_1(X157)
| ~ v4_rlvect_1(X157)
| ~ v5_rlvect_1(X157)
| ~ v6_rlvect_1(X157)
| ~ v4_group_1(X157)
| ~ v7_group_1(X157)
| ~ v6_vectsp_1(X157)
| ~ v7_vectsp_1(X157)
| ~ v8_vectsp_1(X157)
| v10_vectsp_1(X157)
| ~ v2_vectsp_2(X157)
| ~ l3_vectsp_1(X157)
| v3_struct_0(X158)
| ~ v3_rlvect_1(X158)
| ~ v4_rlvect_1(X158)
| ~ v5_rlvect_1(X158)
| ~ v6_rlvect_1(X158)
| ~ v5_vectsp_2(X158,X157)
| ~ l1_vectsp_2(X158,X157)
| ~ m1_subset_1(X159,k1_zfmisc_1(u1_struct_0(X158))) )
& ( m1_rmod_2(k1_rmod_5(X157,X158,X159),X157,X158)
| v3_struct_0(X157)
| ~ v3_rlvect_1(X157)
| ~ v4_rlvect_1(X157)
| ~ v5_rlvect_1(X157)
| ~ v6_rlvect_1(X157)
| ~ v4_group_1(X157)
| ~ v7_group_1(X157)
| ~ v6_vectsp_1(X157)
| ~ v7_vectsp_1(X157)
| ~ v8_vectsp_1(X157)
| v10_vectsp_1(X157)
| ~ v2_vectsp_2(X157)
| ~ l3_vectsp_1(X157)
| v3_struct_0(X158)
| ~ v3_rlvect_1(X158)
| ~ v4_rlvect_1(X158)
| ~ v5_rlvect_1(X158)
| ~ v6_rlvect_1(X158)
| ~ v5_vectsp_2(X158,X157)
| ~ l1_vectsp_2(X158,X157)
| ~ m1_subset_1(X159,k1_zfmisc_1(u1_struct_0(X158))) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_44])])]) ).
cnf(c_0_49,negated_conjecture,
( k1_rmod_5(esk1_0,esk2_0,X1) = esk2_0
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,X1),esk1_0,esk2_0)
| ~ r1_tarski(esk3_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(esk2_0)))
| ~ v3_vectsp_2(k1_rmod_5(esk1_0,esk2_0,X1),esk1_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(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_46]),c_0_24]),c_0_25]),c_0_47]),c_0_26]),c_0_28]),c_0_29]),c_0_30]),c_0_32]),c_0_33]),c_0_34]),c_0_35]),c_0_36]),c_0_37]),c_0_38]),c_0_39]),c_0_40])]),c_0_42]),c_0_43]) ).
cnf(c_0_50,plain,
( v3_vectsp_2(k1_rmod_5(X1,X2,X3),X1)
| v3_struct_0(X1)
| v10_vectsp_1(X1)
| v3_struct_0(X2)
| ~ 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)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_51,negated_conjecture,
( k1_rmod_5(esk1_0,esk2_0,X1) = esk2_0
| ~ m1_rmod_2(k1_rmod_5(esk1_0,esk2_0,X1),esk1_0,esk2_0)
| ~ r1_tarski(esk3_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_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(spm,[status(thm)],[c_0_49,c_0_50]),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]),c_0_40])]),c_0_41]),c_0_42]),c_0_43]) ).
cnf(c_0_52,plain,
( m1_rmod_2(k1_rmod_5(X1,X2,X3),X1,X2)
| v3_struct_0(X1)
| v10_vectsp_1(X1)
| v3_struct_0(X2)
| ~ 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)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_vectsp_2(X2,X1)
| ~ l1_vectsp_2(X2,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X2))) ),
inference(split_conjunct,[status(thm)],[c_0_48]) ).
cnf(c_0_53,negated_conjecture,
( k1_rmod_5(esk1_0,esk2_0,X1) = esk2_0
| ~ r1_tarski(esk3_0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_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(spm,[status(thm)],[c_0_51,c_0_52]),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]),c_0_40])]),c_0_41]),c_0_42]),c_0_43]) ).
cnf(c_0_54,negated_conjecture,
m1_subset_1(esk4_0,k1_zfmisc_1(u1_struct_0(esk2_0))),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_55,negated_conjecture,
r1_tarski(esk3_0,esk4_0),
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_56,negated_conjecture,
k1_rmod_5(esk1_0,esk2_0,esk4_0) != esk2_0,
inference(split_conjunct,[status(thm)],[c_0_12]) ).
cnf(c_0_57,negated_conjecture,
$false,
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_55])]),c_0_56]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG220+1 : TPTP v9.2.1. Released v3.4.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.32 % Computer : n010.cluster.edu
% 0.15/0.32 % Model : x86_64 x86_64
% 0.15/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.32 % Memory : 8042.1875MB
% 0.15/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.32 % CPULimit : 300
% 0.15/0.32 % WCLimit : 300
% 0.15/0.32 % DateTime : Tue May 5 10:26:06 EDT 2026
% 0.15/0.33 % CPUTime :
% 0.15/0.34 % start to proof: theBenchmark
% 1.29/1.74 % Version : CSE_E---1.7
% 1.29/1.74 % Problem : theBenchmark.p
% 1.29/1.74 % SZS status Theorem for theBenchmark.p
% 1.29/1.74 % SZS output start CNFRefutation
% See solution above
% 1.29/1.74 % Total time : 1.374s
%------------------------------------------------------------------------------