%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : ALG215+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 : Sun Sep 27 06:49:48 AM UTC 2026
% Result : Theorem 5.21s 6.12s
% Output : CNFRefutation 5.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 8
% Syntax : Number of formulae : 129 ( 34 unt; 0 def)
% Number of atoms : 1176 ( 44 equ)
% Maximal formula atoms : 82 ( 9 avg)
% Number of connectives : 1884 ( 837 ~; 904 |; 124 &)
% ( 2 <=>; 17 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 9 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 215 ( 7 sgn 43 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(d1_rmod_5,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ( v1_rmod_5(C,A,B)
<=> ! [D] :
( m2_rmod_4(D,A,B,C)
=> ( k5_rmod_4(A,B,D) = k1_rlvect_1(B)
=> k2_rmod_4(A,B,D) = k1_xboole_0 ) ) ) ) ) ),
file('theBenchmark.p',d1_rmod_5) ).
fof(d7_rmod_4,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ! [D] :
( m1_rmod_4(D,A,B)
=> ( m2_rmod_4(D,A,B,C)
<=> r1_tarski(k2_rmod_4(A,B,D),C) ) ) ) ) ),
file('theBenchmark.p',d7_rmod_4) ).
fof(dt_k1_subset_1,axiom,
! [A] :
( m1_subset_1(k1_subset_1(A),k1_zfmisc_1(A))
& v1_xboole_0(k1_subset_1(A)) ),
file('theBenchmark.p',dt_k1_subset_1) ).
fof(dt_m2_rmod_4,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B)
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [D] :
( m2_rmod_4(D,A,B,C)
=> m1_rmod_4(D,A,B) ) ),
file('theBenchmark.p',dt_m2_rmod_4) ).
fof(rc2_subset_1,axiom,
! [A] :
? [B] :
( v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ),
file('theBenchmark.p',rc2_subset_1) ).
fof(t3_xboole_1,axiom,
! [A] :
( r1_tarski(A,k1_xboole_0)
=> A = k1_xboole_0 ),
file('theBenchmark.p',t3_xboole_1) ).
fof(t6_boole,axiom,
! [A] :
( v1_xboole_0(A)
=> A = k1_xboole_0 ),
file('theBenchmark.p',t6_boole) ).
fof(t4_rmod_5,conjecture,
! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> v1_rmod_5(k1_subset_1(u1_struct_0(B)),A,B) ) ),
file('theBenchmark.p',t4_rmod_5) ).
fof(t4_rmod_5_neg,negated_conjecture,
~ ! [A] :
( ( l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) )
=> ! [B] :
( ( l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
=> v1_rmod_5(k1_subset_1(u1_struct_0(B)),A,B) ) ),
inference(assume_negation,[status(cth)],[t4_rmod_5]) ).
fof(nnf_76,plain,
? [A] :
( ? [B] :
( ~ v1_rmod_5(k1_subset_1(u1_struct_0(B)),A,B)
& l1_vectsp_2(B,A)
& v5_vectsp_2(B,A)
& v6_rlvect_1(B)
& v5_rlvect_1(B)
& v4_rlvect_1(B)
& v3_rlvect_1(B)
& ~ v3_struct_0(B) )
& l3_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v4_group_1(A)
& v6_rlvect_1(A)
& v5_rlvect_1(A)
& v4_rlvect_1(A)
& v3_rlvect_1(A)
& ~ v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[t4_rmod_5_neg]) ).
fof(sk_t4_rmod_5_neg,plain,
( ~ v1_rmod_5(k1_subset_1(u1_struct_0(sK3)),sK0,sK3)
& l1_vectsp_2(sK3,sK0)
& v5_vectsp_2(sK3,sK0)
& v6_rlvect_1(sK3)
& v5_rlvect_1(sK3)
& v4_rlvect_1(sK3)
& v3_rlvect_1(sK3)
& ~ v3_struct_0(sK3)
& l3_vectsp_1(sK0)
& v8_vectsp_1(sK0)
& v7_vectsp_1(sK0)
& v6_vectsp_1(sK0)
& v4_group_1(sK0)
& v6_rlvect_1(sK0)
& v5_rlvect_1(sK0)
& v4_rlvect_1(sK0)
& v3_rlvect_1(sK0)
& ~ v3_struct_0(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK3]),skolemize(A,sK0),skolemize(B,sK3)],[nnf_76]) ).
cnf(c_77,negated_conjecture,
v4_group_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t4_rmod_5_neg]) ).
cnf(c_84,plain,
( m1_rmod_4(D,A,B)
| ~ m2_rmod_4(D,A,B,C)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(clausify,[status(thm)],[dt_m2_rmod_4]) ).
cnf(c_90,plain,
( r1_tarski(k2_rmod_4(A,B,D),C)
| ~ m2_rmod_4(D,A,B,C)
| ~ m1_rmod_4(D,A,B)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(clausify,[status(thm)],[d7_rmod_4]) ).
fof(nnf_3,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( ? [D] :
( k2_rmod_4(A,B,D) != k1_xboole_0
& k1_rlvect_1(B) = k5_rmod_4(A,B,D)
& m2_rmod_4(D,A,B,C) )
| v1_rmod_5(C,A,B) )
& ( ! [X0] :
( k2_rmod_4(A,B,X0) = k1_xboole_0
| k1_rlvect_1(B) != k5_rmod_4(A,B,X0)
| ~ m2_rmod_4(X0,A,B,C) )
| ~ v1_rmod_5(C,A,B) ) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(fof_nnf,[status(thm)],[d1_rmod_5]) ).
fof(sk_d1_rmod_5_sk,plain,
! [A] :
( ! [B] :
( ! [C] :
( ( ( ( k2_rmod_4(A,B,sK1(A,B,C)) != k1_xboole_0
& k1_rlvect_1(B) = k5_rmod_4(A,B,sK1(A,B,C))
& m2_rmod_4(sK1(A,B,C),A,B,C) )
| v1_rmod_5(C,A,B) )
& ( ! [X0] :
( k2_rmod_4(A,B,X0) = k1_xboole_0
| k1_rlvect_1(B) != k5_rmod_4(A,B,X0)
| ~ m2_rmod_4(X0,A,B,C) )
| ~ v1_rmod_5(C,A,B) ) )
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B))) )
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B) )
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(D,sK1(A,B,C))],[nnf_3]) ).
fof(sk_d1_rmod_5,plain,
( ! [VAR_0,VAR_1,VAR_2] :
( k2_rmod_4(VAR_0,VAR_1,sK1(VAR_0,VAR_1,VAR_2)) != k1_xboole_0
| v1_rmod_5(VAR_2,VAR_0,VAR_1)
| ~ m1_subset_1(VAR_2,k1_zfmisc_1(u1_struct_0(VAR_1)))
| ~ l1_vectsp_2(VAR_1,VAR_0)
| ~ v5_vectsp_2(VAR_1,VAR_0)
| ~ v6_rlvect_1(VAR_1)
| ~ v5_rlvect_1(VAR_1)
| ~ v4_rlvect_1(VAR_1)
| ~ v3_rlvect_1(VAR_1)
| v3_struct_0(VAR_1)
| ~ l3_vectsp_1(VAR_0)
| ~ v8_vectsp_1(VAR_0)
| ~ v7_vectsp_1(VAR_0)
| ~ v6_vectsp_1(VAR_0)
| ~ v4_group_1(VAR_0)
| ~ v6_rlvect_1(VAR_0)
| ~ v5_rlvect_1(VAR_0)
| ~ v4_rlvect_1(VAR_0)
| ~ v3_rlvect_1(VAR_0)
| v3_struct_0(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( k1_rlvect_1(VAR_1) = k5_rmod_4(VAR_0,VAR_1,sK1(VAR_0,VAR_1,VAR_2))
| v1_rmod_5(VAR_2,VAR_0,VAR_1)
| ~ m1_subset_1(VAR_2,k1_zfmisc_1(u1_struct_0(VAR_1)))
| ~ l1_vectsp_2(VAR_1,VAR_0)
| ~ v5_vectsp_2(VAR_1,VAR_0)
| ~ v6_rlvect_1(VAR_1)
| ~ v5_rlvect_1(VAR_1)
| ~ v4_rlvect_1(VAR_1)
| ~ v3_rlvect_1(VAR_1)
| v3_struct_0(VAR_1)
| ~ l3_vectsp_1(VAR_0)
| ~ v8_vectsp_1(VAR_0)
| ~ v7_vectsp_1(VAR_0)
| ~ v6_vectsp_1(VAR_0)
| ~ v4_group_1(VAR_0)
| ~ v6_rlvect_1(VAR_0)
| ~ v5_rlvect_1(VAR_0)
| ~ v4_rlvect_1(VAR_0)
| ~ v3_rlvect_1(VAR_0)
| v3_struct_0(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2] :
( m2_rmod_4(sK1(VAR_0,VAR_1,VAR_2),VAR_0,VAR_1,VAR_2)
| v1_rmod_5(VAR_2,VAR_0,VAR_1)
| ~ m1_subset_1(VAR_2,k1_zfmisc_1(u1_struct_0(VAR_1)))
| ~ l1_vectsp_2(VAR_1,VAR_0)
| ~ v5_vectsp_2(VAR_1,VAR_0)
| ~ v6_rlvect_1(VAR_1)
| ~ v5_rlvect_1(VAR_1)
| ~ v4_rlvect_1(VAR_1)
| ~ v3_rlvect_1(VAR_1)
| v3_struct_0(VAR_1)
| ~ l3_vectsp_1(VAR_0)
| ~ v8_vectsp_1(VAR_0)
| ~ v7_vectsp_1(VAR_0)
| ~ v6_vectsp_1(VAR_0)
| ~ v4_group_1(VAR_0)
| ~ v6_rlvect_1(VAR_0)
| ~ v5_rlvect_1(VAR_0)
| ~ v4_rlvect_1(VAR_0)
| ~ v3_rlvect_1(VAR_0)
| v3_struct_0(VAR_0) )
& ! [VAR_0,VAR_1,VAR_2,VAR_3] :
( k2_rmod_4(VAR_0,VAR_1,VAR_3) = k1_xboole_0
| k1_rlvect_1(VAR_1) != k5_rmod_4(VAR_0,VAR_1,VAR_3)
| ~ m2_rmod_4(VAR_3,VAR_0,VAR_1,VAR_2)
| ~ v1_rmod_5(VAR_2,VAR_0,VAR_1)
| ~ m1_subset_1(VAR_2,k1_zfmisc_1(u1_struct_0(VAR_1)))
| ~ l1_vectsp_2(VAR_1,VAR_0)
| ~ v5_vectsp_2(VAR_1,VAR_0)
| ~ v6_rlvect_1(VAR_1)
| ~ v5_rlvect_1(VAR_1)
| ~ v4_rlvect_1(VAR_1)
| ~ v3_rlvect_1(VAR_1)
| v3_struct_0(VAR_1)
| ~ l3_vectsp_1(VAR_0)
| ~ v8_vectsp_1(VAR_0)
| ~ v7_vectsp_1(VAR_0)
| ~ v6_vectsp_1(VAR_0)
| ~ v4_group_1(VAR_0)
| ~ v6_rlvect_1(VAR_0)
| ~ v5_rlvect_1(VAR_0)
| ~ v4_rlvect_1(VAR_0)
| ~ v3_rlvect_1(VAR_0)
| v3_struct_0(VAR_0) ) ),
inference(cnf_transformation,[status(thm)],[sk_d1_rmod_5_sk]) ).
cnf(c_92,plain,
( k2_rmod_4(A,B,sK1(A,B,C)) != k1_xboole_0
| v1_rmod_5(C,A,B)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(split_conjunct,[status(thm)],[sk_d1_rmod_5]) ).
cnf(c_94,plain,
( m2_rmod_4(sK1(A,B,C),A,B,C)
| v1_rmod_5(C,A,B)
| ~ m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
| ~ l1_vectsp_2(B,A)
| ~ v5_vectsp_2(B,A)
| ~ v6_rlvect_1(B)
| ~ v5_rlvect_1(B)
| ~ v4_rlvect_1(B)
| ~ v3_rlvect_1(B)
| v3_struct_0(B)
| ~ l3_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v4_group_1(A)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(split_conjunct,[status(thm)],[sk_d1_rmod_5]) ).
cnf(c_299,plain,
v1_xboole_0(k1_subset_1(A)),
inference(clausify,[status(thm)],[dt_k1_subset_1]) ).
fof(nnf_55,plain,
! [A] :
? [B] :
( v1_xboole_0(B)
& m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(fof_nnf,[status(thm)],[rc2_subset_1]) ).
fof(sk_rc2_subset_1,plain,
! [A] :
( v1_xboole_0(sK2(A))
& m1_subset_1(sK2(A),k1_zfmisc_1(A)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(B,sK2(A))],[nnf_55]) ).
cnf(c_311,plain,
m1_subset_1(sK2(A),k1_zfmisc_1(A)),
inference(split_conjunct,[status(thm)],[sk_rc2_subset_1]) ).
cnf(c_312,plain,
v1_xboole_0(sK2(A)),
inference(split_conjunct,[status(thm)],[sk_rc2_subset_1]) ).
cnf(c_324,plain,
( k1_xboole_0 = A
| ~ r1_tarski(A,k1_xboole_0) ),
inference(clausify,[status(thm)],[t3_xboole_1]) ).
cnf(c_327,plain,
( k1_xboole_0 = A
| ~ v1_xboole_0(A) ),
inference(clausify,[status(thm)],[t6_boole]) ).
cnf(c_330,negated_conjecture,
~ v3_struct_0(sK0),
inference(split_conjunct,[status(thm)],[sk_t4_rmod_5_neg]) ).
cnf(c_331,negated_conjecture,
v3_rlvect_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t4_rmod_5_neg]) ).
cnf(c_332,negated_conjecture,
v4_rlvect_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t4_rmod_5_neg]) ).
cnf(c_333,negated_conjecture,
v5_rlvect_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t4_rmod_5_neg]) ).
cnf(c_334,negated_conjecture,
v6_rlvect_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t4_rmod_5_neg]) ).
cnf(c_335,negated_conjecture,
v6_vectsp_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t4_rmod_5_neg]) ).
cnf(c_336,negated_conjecture,
v7_vectsp_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t4_rmod_5_neg]) ).
cnf(c_337,negated_conjecture,
v8_vectsp_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t4_rmod_5_neg]) ).
cnf(c_338,negated_conjecture,
l3_vectsp_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t4_rmod_5_neg]) ).
cnf(c_339,negated_conjecture,
~ v3_struct_0(sK3),
inference(split_conjunct,[status(thm)],[sk_t4_rmod_5_neg]) ).
cnf(c_340,negated_conjecture,
v3_rlvect_1(sK3),
inference(split_conjunct,[status(thm)],[sk_t4_rmod_5_neg]) ).
cnf(c_341,negated_conjecture,
v4_rlvect_1(sK3),
inference(split_conjunct,[status(thm)],[sk_t4_rmod_5_neg]) ).
cnf(c_342,negated_conjecture,
v5_rlvect_1(sK3),
inference(split_conjunct,[status(thm)],[sk_t4_rmod_5_neg]) ).
cnf(c_343,negated_conjecture,
v6_rlvect_1(sK3),
inference(split_conjunct,[status(thm)],[sk_t4_rmod_5_neg]) ).
cnf(c_344,negated_conjecture,
v5_vectsp_2(sK3,sK0),
inference(split_conjunct,[status(thm)],[sk_t4_rmod_5_neg]) ).
cnf(c_345,negated_conjecture,
l1_vectsp_2(sK3,sK0),
inference(split_conjunct,[status(thm)],[sk_t4_rmod_5_neg]) ).
cnf(c_346,negated_conjecture,
~ v1_rmod_5(k1_subset_1(u1_struct_0(sK3)),sK0,sK3),
inference(split_conjunct,[status(thm)],[sk_t4_rmod_5_neg]) ).
cnf(c_359,negated_conjecture,
( m1_rmod_4(C,sK0,A)
| ~ m2_rmod_4(C,sK0,A,B)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_77,c_84]) ).
cnf(c_4303,negated_conjecture,
( m1_rmod_4(C,sK0,A)
| ~ m2_rmod_4(C,sK0,A,B)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0) ),
inference(resolve,[status(thm)],[c_330,c_359]) ).
cnf(c_4304,negated_conjecture,
( m1_rmod_4(C,sK0,A)
| ~ m2_rmod_4(C,sK0,A,B)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0) ),
inference(resolve,[status(thm)],[c_331,c_4303]) ).
cnf(c_4305,negated_conjecture,
( m1_rmod_4(C,sK0,A)
| ~ m2_rmod_4(C,sK0,A,B)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0) ),
inference(resolve,[status(thm)],[c_332,c_4304]) ).
cnf(c_4306,negated_conjecture,
( m1_rmod_4(C,sK0,A)
| ~ m2_rmod_4(C,sK0,A,B)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v6_rlvect_1(sK0) ),
inference(resolve,[status(thm)],[c_333,c_4305]) ).
cnf(c_4307,negated_conjecture,
( m1_rmod_4(C,sK0,A)
| ~ m2_rmod_4(C,sK0,A,B)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0) ),
inference(resolve,[status(thm)],[c_334,c_4306]) ).
cnf(c_4308,negated_conjecture,
( m1_rmod_4(C,sK0,A)
| ~ m2_rmod_4(C,sK0,A,B)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0) ),
inference(resolve,[status(thm)],[c_335,c_4307]) ).
cnf(c_4309,negated_conjecture,
( m1_rmod_4(C,sK0,A)
| ~ m2_rmod_4(C,sK0,A,B)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0) ),
inference(resolve,[status(thm)],[c_336,c_4308]) ).
cnf(c_4310,negated_conjecture,
( m1_rmod_4(C,sK0,A)
| ~ m2_rmod_4(C,sK0,A,B)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0) ),
inference(resolve,[status(thm)],[c_337,c_4309]) ).
cnf(c_360,negated_conjecture,
( m1_rmod_4(C,sK0,A)
| ~ m2_rmod_4(C,sK0,A,B)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(resolve,[status(thm)],[c_338,c_4310]) ).
cnf(c_369,negated_conjecture,
( r1_tarski(k2_rmod_4(sK0,A,C),B)
| ~ m2_rmod_4(C,sK0,A,B)
| ~ m1_rmod_4(C,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_77,c_90]) ).
cnf(c_4311,negated_conjecture,
( r1_tarski(k2_rmod_4(sK0,A,C),B)
| ~ m2_rmod_4(C,sK0,A,B)
| ~ m1_rmod_4(C,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0) ),
inference(resolve,[status(thm)],[c_330,c_369]) ).
cnf(c_4312,negated_conjecture,
( r1_tarski(k2_rmod_4(sK0,A,C),B)
| ~ m2_rmod_4(C,sK0,A,B)
| ~ m1_rmod_4(C,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0) ),
inference(resolve,[status(thm)],[c_331,c_4311]) ).
cnf(c_4313,negated_conjecture,
( r1_tarski(k2_rmod_4(sK0,A,C),B)
| ~ m2_rmod_4(C,sK0,A,B)
| ~ m1_rmod_4(C,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0) ),
inference(resolve,[status(thm)],[c_332,c_4312]) ).
cnf(c_4314,negated_conjecture,
( r1_tarski(k2_rmod_4(sK0,A,C),B)
| ~ m2_rmod_4(C,sK0,A,B)
| ~ m1_rmod_4(C,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v6_rlvect_1(sK0) ),
inference(resolve,[status(thm)],[c_333,c_4313]) ).
cnf(c_4315,negated_conjecture,
( r1_tarski(k2_rmod_4(sK0,A,C),B)
| ~ m2_rmod_4(C,sK0,A,B)
| ~ m1_rmod_4(C,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0) ),
inference(resolve,[status(thm)],[c_334,c_4314]) ).
cnf(c_4316,negated_conjecture,
( r1_tarski(k2_rmod_4(sK0,A,C),B)
| ~ m2_rmod_4(C,sK0,A,B)
| ~ m1_rmod_4(C,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0) ),
inference(resolve,[status(thm)],[c_335,c_4315]) ).
cnf(c_4317,negated_conjecture,
( r1_tarski(k2_rmod_4(sK0,A,C),B)
| ~ m2_rmod_4(C,sK0,A,B)
| ~ m1_rmod_4(C,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0) ),
inference(resolve,[status(thm)],[c_336,c_4316]) ).
cnf(c_4318,negated_conjecture,
( r1_tarski(k2_rmod_4(sK0,A,C),B)
| ~ m2_rmod_4(C,sK0,A,B)
| ~ m1_rmod_4(C,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0) ),
inference(resolve,[status(thm)],[c_337,c_4317]) ).
cnf(c_370,negated_conjecture,
( r1_tarski(k2_rmod_4(sK0,A,C),B)
| ~ m2_rmod_4(C,sK0,A,B)
| ~ m1_rmod_4(C,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(resolve,[status(thm)],[c_338,c_4318]) ).
cnf(c_373,negated_conjecture,
( k2_rmod_4(sK0,A,sK1(sK0,A,B)) != k1_xboole_0
| v1_rmod_5(B,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_77,c_92]) ).
cnf(c_4319,negated_conjecture,
( k2_rmod_4(sK0,A,sK1(sK0,A,B)) != k1_xboole_0
| v1_rmod_5(B,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0) ),
inference(resolve,[status(thm)],[c_330,c_373]) ).
cnf(c_4320,negated_conjecture,
( k2_rmod_4(sK0,A,sK1(sK0,A,B)) != k1_xboole_0
| v1_rmod_5(B,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0) ),
inference(resolve,[status(thm)],[c_331,c_4319]) ).
cnf(c_4321,negated_conjecture,
( k2_rmod_4(sK0,A,sK1(sK0,A,B)) != k1_xboole_0
| v1_rmod_5(B,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0) ),
inference(resolve,[status(thm)],[c_332,c_4320]) ).
cnf(c_4322,negated_conjecture,
( k2_rmod_4(sK0,A,sK1(sK0,A,B)) != k1_xboole_0
| v1_rmod_5(B,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v6_rlvect_1(sK0) ),
inference(resolve,[status(thm)],[c_333,c_4321]) ).
cnf(c_4323,negated_conjecture,
( k2_rmod_4(sK0,A,sK1(sK0,A,B)) != k1_xboole_0
| v1_rmod_5(B,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0) ),
inference(resolve,[status(thm)],[c_334,c_4322]) ).
cnf(c_4324,negated_conjecture,
( k2_rmod_4(sK0,A,sK1(sK0,A,B)) != k1_xboole_0
| v1_rmod_5(B,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0) ),
inference(resolve,[status(thm)],[c_335,c_4323]) ).
cnf(c_4325,negated_conjecture,
( k2_rmod_4(sK0,A,sK1(sK0,A,B)) != k1_xboole_0
| v1_rmod_5(B,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0) ),
inference(resolve,[status(thm)],[c_336,c_4324]) ).
cnf(c_4326,negated_conjecture,
( k2_rmod_4(sK0,A,sK1(sK0,A,B)) != k1_xboole_0
| v1_rmod_5(B,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0) ),
inference(resolve,[status(thm)],[c_337,c_4325]) ).
cnf(c_374,negated_conjecture,
( k2_rmod_4(sK0,A,sK1(sK0,A,B)) != k1_xboole_0
| v1_rmod_5(B,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(resolve,[status(thm)],[c_338,c_4326]) ).
cnf(c_377,negated_conjecture,
( m2_rmod_4(sK1(sK0,A,B),sK0,A,B)
| v1_rmod_5(B,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0)
| v3_struct_0(sK0) ),
inference(resolve,[status(thm)],[c_77,c_94]) ).
cnf(c_4327,negated_conjecture,
( m2_rmod_4(sK1(sK0,A,B),sK0,A,B)
| v1_rmod_5(B,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0)
| ~ v3_rlvect_1(sK0) ),
inference(resolve,[status(thm)],[c_330,c_377]) ).
cnf(c_4328,negated_conjecture,
( m2_rmod_4(sK1(sK0,A,B),sK0,A,B)
| v1_rmod_5(B,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0)
| ~ v4_rlvect_1(sK0) ),
inference(resolve,[status(thm)],[c_331,c_4327]) ).
cnf(c_4329,negated_conjecture,
( m2_rmod_4(sK1(sK0,A,B),sK0,A,B)
| v1_rmod_5(B,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v6_rlvect_1(sK0)
| ~ v5_rlvect_1(sK0) ),
inference(resolve,[status(thm)],[c_332,c_4328]) ).
cnf(c_4330,negated_conjecture,
( m2_rmod_4(sK1(sK0,A,B),sK0,A,B)
| v1_rmod_5(B,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0)
| ~ v6_rlvect_1(sK0) ),
inference(resolve,[status(thm)],[c_333,c_4329]) ).
cnf(c_4331,negated_conjecture,
( m2_rmod_4(sK1(sK0,A,B),sK0,A,B)
| v1_rmod_5(B,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0)
| ~ v6_vectsp_1(sK0) ),
inference(resolve,[status(thm)],[c_334,c_4330]) ).
cnf(c_4332,negated_conjecture,
( m2_rmod_4(sK1(sK0,A,B),sK0,A,B)
| v1_rmod_5(B,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0)
| ~ v7_vectsp_1(sK0) ),
inference(resolve,[status(thm)],[c_335,c_4331]) ).
cnf(c_4333,negated_conjecture,
( m2_rmod_4(sK1(sK0,A,B),sK0,A,B)
| v1_rmod_5(B,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0)
| ~ v8_vectsp_1(sK0) ),
inference(resolve,[status(thm)],[c_336,c_4332]) ).
cnf(c_4334,negated_conjecture,
( m2_rmod_4(sK1(sK0,A,B),sK0,A,B)
| v1_rmod_5(B,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A)
| ~ l3_vectsp_1(sK0) ),
inference(resolve,[status(thm)],[c_337,c_4333]) ).
cnf(c_378,negated_conjecture,
( m2_rmod_4(sK1(sK0,A,B),sK0,A,B)
| v1_rmod_5(B,sK0,A)
| ~ m1_subset_1(B,k1_zfmisc_1(u1_struct_0(A)))
| ~ l1_vectsp_2(A,sK0)
| ~ v5_vectsp_2(A,sK0)
| ~ v6_rlvect_1(A)
| ~ v5_rlvect_1(A)
| ~ v4_rlvect_1(A)
| ~ v3_rlvect_1(A)
| v3_struct_0(A) ),
inference(resolve,[status(thm)],[c_338,c_4334]) ).
cnf(c_4335,plain,
k1_xboole_0 = sK2(A),
inference(resolve,[status(thm)],[c_327,c_312]) ).
cnf(c_562,plain,
sK2(A) = k1_xboole_0,
inference(copy,[status(thm)],[c_4335]) ).
cnf(c_4336,plain,
k1_xboole_0 = k1_subset_1(A),
inference(resolve,[status(thm)],[c_327,c_299]) ).
cnf(c_564,plain,
k1_subset_1(A) = k1_xboole_0,
inference(copy,[status(thm)],[c_4336]) ).
cnf(c_569,plain,
m1_subset_1(k1_xboole_0,k1_zfmisc_1(A)),
inference(paramod,[status(thm)],[c_562,c_311]) ).
cnf(c_570,negated_conjecture,
~ v1_rmod_5(k1_xboole_0,sK0,sK3),
inference(paramod,[status(thm)],[c_564,c_346]) ).
cnf(c_4337,negated_conjecture,
( m1_rmod_4(B,sK0,sK3)
| ~ m2_rmod_4(B,sK0,sK3,A)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0)
| ~ v5_vectsp_2(sK3,sK0)
| ~ v6_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| v3_struct_0(sK3) ),
inference(resolve,[status(thm)],[c_360,c_340]) ).
cnf(c_4338,negated_conjecture,
( m1_rmod_4(B,sK0,sK3)
| ~ m2_rmod_4(B,sK0,sK3,A)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0)
| ~ v5_vectsp_2(sK3,sK0)
| ~ v6_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3) ),
inference(resolve,[status(thm)],[c_339,c_4337]) ).
cnf(c_4339,negated_conjecture,
( m1_rmod_4(B,sK0,sK3)
| ~ m2_rmod_4(B,sK0,sK3,A)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0)
| ~ v5_vectsp_2(sK3,sK0)
| ~ v6_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3) ),
inference(resolve,[status(thm)],[c_341,c_4338]) ).
cnf(c_4340,negated_conjecture,
( m1_rmod_4(B,sK0,sK3)
| ~ m2_rmod_4(B,sK0,sK3,A)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0)
| ~ v5_vectsp_2(sK3,sK0)
| ~ v6_rlvect_1(sK3) ),
inference(resolve,[status(thm)],[c_342,c_4339]) ).
cnf(c_4341,negated_conjecture,
( m1_rmod_4(B,sK0,sK3)
| ~ m2_rmod_4(B,sK0,sK3,A)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0)
| ~ v5_vectsp_2(sK3,sK0) ),
inference(resolve,[status(thm)],[c_343,c_4340]) ).
cnf(c_4342,negated_conjecture,
( m1_rmod_4(B,sK0,sK3)
| ~ m2_rmod_4(B,sK0,sK3,A)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0) ),
inference(resolve,[status(thm)],[c_344,c_4341]) ).
cnf(c_622,negated_conjecture,
( m1_rmod_4(B,sK0,sK3)
| ~ m2_rmod_4(B,sK0,sK3,A)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3))) ),
inference(resolve,[status(thm)],[c_345,c_4342]) ).
cnf(c_4343,negated_conjecture,
( r1_tarski(k2_rmod_4(sK0,sK3,B),A)
| ~ m2_rmod_4(B,sK0,sK3,A)
| ~ m1_rmod_4(B,sK0,sK3)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0)
| ~ v5_vectsp_2(sK3,sK0)
| ~ v6_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| v3_struct_0(sK3) ),
inference(resolve,[status(thm)],[c_370,c_340]) ).
cnf(c_4344,negated_conjecture,
( r1_tarski(k2_rmod_4(sK0,sK3,B),A)
| ~ m2_rmod_4(B,sK0,sK3,A)
| ~ m1_rmod_4(B,sK0,sK3)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0)
| ~ v5_vectsp_2(sK3,sK0)
| ~ v6_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3) ),
inference(resolve,[status(thm)],[c_339,c_4343]) ).
cnf(c_4345,negated_conjecture,
( r1_tarski(k2_rmod_4(sK0,sK3,B),A)
| ~ m2_rmod_4(B,sK0,sK3,A)
| ~ m1_rmod_4(B,sK0,sK3)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0)
| ~ v5_vectsp_2(sK3,sK0)
| ~ v6_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3) ),
inference(resolve,[status(thm)],[c_341,c_4344]) ).
cnf(c_4346,negated_conjecture,
( r1_tarski(k2_rmod_4(sK0,sK3,B),A)
| ~ m2_rmod_4(B,sK0,sK3,A)
| ~ m1_rmod_4(B,sK0,sK3)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0)
| ~ v5_vectsp_2(sK3,sK0)
| ~ v6_rlvect_1(sK3) ),
inference(resolve,[status(thm)],[c_342,c_4345]) ).
cnf(c_4347,negated_conjecture,
( r1_tarski(k2_rmod_4(sK0,sK3,B),A)
| ~ m2_rmod_4(B,sK0,sK3,A)
| ~ m1_rmod_4(B,sK0,sK3)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0)
| ~ v5_vectsp_2(sK3,sK0) ),
inference(resolve,[status(thm)],[c_343,c_4346]) ).
cnf(c_4348,negated_conjecture,
( r1_tarski(k2_rmod_4(sK0,sK3,B),A)
| ~ m2_rmod_4(B,sK0,sK3,A)
| ~ m1_rmod_4(B,sK0,sK3)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0) ),
inference(resolve,[status(thm)],[c_344,c_4347]) ).
cnf(c_653,negated_conjecture,
( r1_tarski(k2_rmod_4(sK0,sK3,B),A)
| ~ m2_rmod_4(B,sK0,sK3,A)
| ~ m1_rmod_4(B,sK0,sK3)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3))) ),
inference(resolve,[status(thm)],[c_345,c_4348]) ).
cnf(c_4349,negated_conjecture,
( k2_rmod_4(sK0,sK3,sK1(sK0,sK3,A)) != k1_xboole_0
| v1_rmod_5(A,sK0,sK3)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0)
| ~ v5_vectsp_2(sK3,sK0)
| ~ v6_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| v3_struct_0(sK3) ),
inference(resolve,[status(thm)],[c_374,c_340]) ).
cnf(c_4350,negated_conjecture,
( k2_rmod_4(sK0,sK3,sK1(sK0,sK3,A)) != k1_xboole_0
| v1_rmod_5(A,sK0,sK3)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0)
| ~ v5_vectsp_2(sK3,sK0)
| ~ v6_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3) ),
inference(resolve,[status(thm)],[c_339,c_4349]) ).
cnf(c_4351,negated_conjecture,
( k2_rmod_4(sK0,sK3,sK1(sK0,sK3,A)) != k1_xboole_0
| v1_rmod_5(A,sK0,sK3)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0)
| ~ v5_vectsp_2(sK3,sK0)
| ~ v6_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3) ),
inference(resolve,[status(thm)],[c_341,c_4350]) ).
cnf(c_4352,negated_conjecture,
( k2_rmod_4(sK0,sK3,sK1(sK0,sK3,A)) != k1_xboole_0
| v1_rmod_5(A,sK0,sK3)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0)
| ~ v5_vectsp_2(sK3,sK0)
| ~ v6_rlvect_1(sK3) ),
inference(resolve,[status(thm)],[c_342,c_4351]) ).
cnf(c_4353,negated_conjecture,
( k2_rmod_4(sK0,sK3,sK1(sK0,sK3,A)) != k1_xboole_0
| v1_rmod_5(A,sK0,sK3)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0)
| ~ v5_vectsp_2(sK3,sK0) ),
inference(resolve,[status(thm)],[c_343,c_4352]) ).
cnf(c_4354,negated_conjecture,
( k2_rmod_4(sK0,sK3,sK1(sK0,sK3,A)) != k1_xboole_0
| v1_rmod_5(A,sK0,sK3)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0) ),
inference(resolve,[status(thm)],[c_344,c_4353]) ).
cnf(c_667,negated_conjecture,
( k2_rmod_4(sK0,sK3,sK1(sK0,sK3,A)) != k1_xboole_0
| v1_rmod_5(A,sK0,sK3)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3))) ),
inference(resolve,[status(thm)],[c_345,c_4354]) ).
cnf(c_4355,negated_conjecture,
( m2_rmod_4(sK1(sK0,sK3,A),sK0,sK3,A)
| v1_rmod_5(A,sK0,sK3)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0)
| ~ v5_vectsp_2(sK3,sK0)
| ~ v6_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| v3_struct_0(sK3) ),
inference(resolve,[status(thm)],[c_378,c_340]) ).
cnf(c_4356,negated_conjecture,
( m2_rmod_4(sK1(sK0,sK3,A),sK0,sK3,A)
| v1_rmod_5(A,sK0,sK3)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0)
| ~ v5_vectsp_2(sK3,sK0)
| ~ v6_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3) ),
inference(resolve,[status(thm)],[c_339,c_4355]) ).
cnf(c_4357,negated_conjecture,
( m2_rmod_4(sK1(sK0,sK3,A),sK0,sK3,A)
| v1_rmod_5(A,sK0,sK3)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0)
| ~ v5_vectsp_2(sK3,sK0)
| ~ v6_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3) ),
inference(resolve,[status(thm)],[c_341,c_4356]) ).
cnf(c_4358,negated_conjecture,
( m2_rmod_4(sK1(sK0,sK3,A),sK0,sK3,A)
| v1_rmod_5(A,sK0,sK3)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0)
| ~ v5_vectsp_2(sK3,sK0)
| ~ v6_rlvect_1(sK3) ),
inference(resolve,[status(thm)],[c_342,c_4357]) ).
cnf(c_4359,negated_conjecture,
( m2_rmod_4(sK1(sK0,sK3,A),sK0,sK3,A)
| v1_rmod_5(A,sK0,sK3)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0)
| ~ v5_vectsp_2(sK3,sK0) ),
inference(resolve,[status(thm)],[c_343,c_4358]) ).
cnf(c_4360,negated_conjecture,
( m2_rmod_4(sK1(sK0,sK3,A),sK0,sK3,A)
| v1_rmod_5(A,sK0,sK3)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3)))
| ~ l1_vectsp_2(sK3,sK0) ),
inference(resolve,[status(thm)],[c_344,c_4359]) ).
cnf(c_691,negated_conjecture,
( m2_rmod_4(sK1(sK0,sK3,A),sK0,sK3,A)
| v1_rmod_5(A,sK0,sK3)
| ~ m1_subset_1(A,k1_zfmisc_1(u1_struct_0(sK3))) ),
inference(resolve,[status(thm)],[c_345,c_4360]) ).
cnf(c_2998,plain,
( m1_rmod_4(A,sK0,sK3)
| ~ m2_rmod_4(A,sK0,sK3,k1_xboole_0) ),
inference(resolve,[status(thm)],[c_622,c_569]) ).
cnf(c_4361,plain,
( k2_rmod_4(sK0,sK3,sK1(sK0,sK3,k1_xboole_0)) != k1_xboole_0
| v1_rmod_5(k1_xboole_0,sK0,sK3) ),
inference(resolve,[status(thm)],[c_667,c_569]) ).
cnf(c_3631,negated_conjecture,
k2_rmod_4(sK0,sK3,sK1(sK0,sK3,k1_xboole_0)) != k1_xboole_0,
inference(resolve,[status(thm)],[c_570,c_4361]) ).
cnf(c_4362,plain,
( m2_rmod_4(sK1(sK0,sK3,k1_xboole_0),sK0,sK3,k1_xboole_0)
| v1_rmod_5(k1_xboole_0,sK0,sK3) ),
inference(resolve,[status(thm)],[c_691,c_569]) ).
cnf(c_3729,negated_conjecture,
m2_rmod_4(sK1(sK0,sK3,k1_xboole_0),sK0,sK3,k1_xboole_0),
inference(resolve,[status(thm)],[c_570,c_4362]) ).
cnf(c_3741,plain,
m1_rmod_4(sK1(sK0,sK3,k1_xboole_0),sK0,sK3),
inference(resolve,[status(thm)],[c_3729,c_2998]) ).
cnf(c_4363,plain,
( r1_tarski(k2_rmod_4(sK0,sK3,sK1(sK0,sK3,k1_xboole_0)),k1_xboole_0)
| ~ m1_rmod_4(sK1(sK0,sK3,k1_xboole_0),sK0,sK3)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(sK3))) ),
inference(resolve,[status(thm)],[c_3729,c_653]) ).
cnf(c_4364,plain,
( r1_tarski(k2_rmod_4(sK0,sK3,sK1(sK0,sK3,k1_xboole_0)),k1_xboole_0)
| ~ m1_rmod_4(sK1(sK0,sK3,k1_xboole_0),sK0,sK3) ),
inference(resolve,[status(thm)],[c_569,c_4363]) ).
cnf(c_3742,plain,
r1_tarski(k2_rmod_4(sK0,sK3,sK1(sK0,sK3,k1_xboole_0)),k1_xboole_0),
inference(resolve,[status(thm)],[c_3741,c_4364]) ).
cnf(c_4365,plain,
k1_xboole_0 = k2_rmod_4(sK0,sK3,sK1(sK0,sK3,k1_xboole_0)),
inference(resolve,[status(thm)],[c_3742,c_324]) ).
cnf(c_4366,plain,
k2_rmod_4(sK0,sK3,sK1(sK0,sK3,k1_xboole_0)) = k1_xboole_0,
inference(copy,[status(thm)],[c_4365]) ).
cnf(c_4302,plain,
$false,
inference(resolve,[status(thm)],[c_3631,c_4366]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG215+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n018.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Sat Sep 26 21:29:58 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/5.37 % Process 1439640 was started by sandbox2 on n018,
% 0.09/5.37 % Sat Sep 26 21:29:58 2026
% 0.09/5.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/5.40
% 0.09/5.40 % From the command line: assign(max_seconds, 300).
% 5.21/6.12
% 5.21/6.12 % given #500 (F,wt=21): 2458 -r2_hidden(k1_zfmisc_1(u1_struct_0(c11)),f12(c11)). [resolve(894,a,298,b)].
% 5.21/6.12
% 5.21/6.12 % SZS status Theorem for theBenchmark
% 5.21/6.12
% 5.21/6.12 % Proof 1 at 0.55 (+ 0.14) seconds.
% 5.21/6.12 % Length of proof is 57.
% 5.21/6.12 % Level of proof is 8.
% 5.21/6.12 % Maximum clause weight is 51.000.
% 5.21/6.12 % Given clauses 954.
% 5.21/6.12
% 5.21/6.12 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------