%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : ALG214+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n032.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 : Thu Jul 24 09:45:58 AM UTC 2025
% Result : Theorem 26.41s 3.63s
% Output : CNFRefutation 26.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 129 ( 115 unt; 0 def)
% Number of atoms : 411 ( 10 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 477 ( 195 ~; 198 |; 62 &)
% ( 1 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 18 ( 16 usr; 1 prp; 0-4 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 35 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t2_rmod_5,plain,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v4_group_1(A)
& v6_vectsp_1(A)
& v7_vectsp_1(A)
& v8_vectsp_1(A)
& l3_vectsp_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v5_vectsp_2(B,A)
& l1_vectsp_2(B,A) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
=> ( ( r1_tarski(C,D)
& v1_rmod_5(D,A,B) )
=> v1_rmod_5(C,A,B) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_rmod_5) ).
fof(t2_rmod_5_negated,plain,
~ ! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v4_group_1(A)
& v6_vectsp_1(A)
& v7_vectsp_1(A)
& v8_vectsp_1(A)
& l3_vectsp_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v5_vectsp_2(B,A)
& l1_vectsp_2(B,A) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
=> ( ( r1_tarski(C,D)
& v1_rmod_5(D,A,B) )
=> v1_rmod_5(C,A,B) ) ) ) ) ),
inference(negate_conjecture,[status(cth)],[t2_rmod_5]) ).
cnf(0,plain,
~ v3_struct_0(sK1),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l0,plain,
~ v3_struct_0(sK1),
inference(instantiation,[status(thm)],[0]) ).
fof(d1_rmod_5,plain,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v4_group_1(A)
& v6_vectsp_1(A)
& v7_vectsp_1(A)
& v8_vectsp_1(A)
& l3_vectsp_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v5_vectsp_2(B,A)
& l1_vectsp_2(B,A) )
=> ! [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('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_rmod_5) ).
cnf(24,plain,
( ~ v4_rlvect_1(X0)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X0)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X0)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X0)
| ~ v1_rmod_5(X2,X0,X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_rlvect_1(X0)
| ~ v3_rlvect_1(X1)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ m2_rmod_4(X3,X0,X1,X2)
| k5_rmod_4(X0,X1,X3) != k1_rlvect_1(X1)
| v3_struct_0(X0)
| v3_struct_0(X1)
| k2_rmod_4(X0,X1,X3) = k1_xboole_0 ),
inference(cnf,[status(esa)],[d1_rmod_5]) ).
cnf(l1,plain,
( ~ v4_rlvect_1(sK1)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK1)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK1)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK1)
| ~ v1_rmod_5(sK4,sK1,sK2)
| ~ v5_vectsp_2(sK2,sK1)
| ~ l1_vectsp_2(sK2,sK1)
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v3_rlvect_1(sK1)
| ~ v3_rlvect_1(sK2)
| ~ v6_vectsp_1(sK1)
| ~ v7_vectsp_1(sK1)
| ~ v8_vectsp_1(sK1)
| ~ l3_vectsp_1(sK1)
| ~ m2_rmod_4(sK5(sK1,sK2,sK3),sK1,sK2,sK4)
| k5_rmod_4(sK1,sK2,sK5(sK1,sK2,sK3)) != k1_rlvect_1(sK2)
| v3_struct_0(sK1)
| v3_struct_0(sK2)
| k2_rmod_4(sK1,sK2,sK5(sK1,sK2,sK3)) = k1_xboole_0 ),
inference(instantiation,[status(thm)],[24]) ).
cnf(5,plain,
v4_group_1(sK1),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l4,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[5]) ).
fof(t25_rmod_4,plain,
! [A] :
( ( ~ v3_struct_0(A)
& v3_rlvect_1(A)
& v4_rlvect_1(A)
& v5_rlvect_1(A)
& v6_rlvect_1(A)
& v4_group_1(A)
& v6_vectsp_1(A)
& v7_vectsp_1(A)
& v8_vectsp_1(A)
& l3_vectsp_1(A) )
=> ! [B] :
( ( ~ v3_struct_0(B)
& v3_rlvect_1(B)
& v4_rlvect_1(B)
& v5_rlvect_1(B)
& v6_rlvect_1(B)
& v5_vectsp_2(B,A)
& l1_vectsp_2(B,A) )
=> ! [C] :
( m1_subset_1(C,k1_zfmisc_1(u1_struct_0(B)))
=> ! [D] :
( m1_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
=> ! [E] :
( m2_rmod_4(E,A,B,C)
=> ( r1_tarski(C,D)
=> m2_rmod_4(E,A,B,D) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_rmod_4) ).
cnf(100,plain,
( ~ v4_rlvect_1(X0)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X0)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X0)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X0)
| ~ r1_tarski(X2,X3)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_rlvect_1(X0)
| ~ v3_rlvect_1(X1)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ m2_rmod_4(X4,X0,X1,X2)
| v3_struct_0(X0)
| v3_struct_0(X1)
| m2_rmod_4(X4,X0,X1,X3) ),
inference(cnf,[status(esa)],[t25_rmod_4]) ).
cnf(l40,plain,
( ~ v4_rlvect_1(sK1)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK1)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK1)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK1)
| ~ r1_tarski(sK3,sK4)
| ~ v5_vectsp_2(sK2,sK1)
| ~ l1_vectsp_2(sK2,sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v3_rlvect_1(sK1)
| ~ v3_rlvect_1(sK2)
| ~ v6_vectsp_1(sK1)
| ~ v7_vectsp_1(sK1)
| ~ v8_vectsp_1(sK1)
| ~ l3_vectsp_1(sK1)
| ~ m2_rmod_4(sK5(sK1,sK2,sK3),sK1,sK2,sK3)
| v3_struct_0(sK1)
| v3_struct_0(sK2)
| m2_rmod_4(sK5(sK1,sK2,sK3),sK1,sK2,sK4) ),
inference(instantiation,[status(thm)],[100]) ).
cnf(1,plain,
v3_rlvect_1(sK1),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l13,plain,
v3_rlvect_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(15,plain,
v5_vectsp_2(sK2,sK1),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l6,plain,
v5_vectsp_2(sK2,sK1),
inference(instantiation,[status(thm)],[15]) ).
cnf(16,plain,
l1_vectsp_2(sK2,sK1),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l53,plain,
l1_vectsp_2(sK2,sK1),
inference(instantiation,[status(thm)],[16]) ).
cnf(9,plain,
l3_vectsp_1(sK1),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l160,plain,
l3_vectsp_1(sK1),
inference(instantiation,[status(thm)],[9]) ).
cnf(l45,plain,
v3_rlvect_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(6,plain,
v6_vectsp_1(sK1),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l77,plain,
v6_vectsp_1(sK1),
inference(instantiation,[status(thm)],[6]) ).
cnf(l41,plain,
v6_vectsp_1(sK1),
inference(instantiation,[status(thm)],[6]) ).
cnf(8,plain,
v8_vectsp_1(sK1),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l62,plain,
v8_vectsp_1(sK1),
inference(instantiation,[status(thm)],[8]) ).
cnf(12,plain,
v4_rlvect_1(sK2),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l2,plain,
v4_rlvect_1(sK2),
inference(instantiation,[status(thm)],[12]) ).
cnf(14,plain,
v6_rlvect_1(sK2),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l12,plain,
v6_rlvect_1(sK2),
inference(instantiation,[status(thm)],[14]) ).
cnf(2,plain,
v4_rlvect_1(sK1),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l74,plain,
v4_rlvect_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l5,plain,
v4_rlvect_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(11,plain,
v3_rlvect_1(sK2),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l61,plain,
v3_rlvect_1(sK2),
inference(instantiation,[status(thm)],[11]) ).
cnf(3,plain,
v5_rlvect_1(sK1),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l66,plain,
v5_rlvect_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l128,plain,
l1_vectsp_2(sK2,sK1),
inference(instantiation,[status(thm)],[16]) ).
cnf(20,plain,
v1_rmod_5(sK4,sK1,sK2),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l3,plain,
v1_rmod_5(sK4,sK1,sK2),
inference(instantiation,[status(thm)],[20]) ).
cnf(4,plain,
v6_rlvect_1(sK1),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l29,plain,
v6_rlvect_1(sK1),
inference(instantiation,[status(thm)],[4]) ).
cnf(13,plain,
v5_rlvect_1(sK2),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l76,plain,
v5_rlvect_1(sK2),
inference(instantiation,[status(thm)],[13]) ).
cnf(7,plain,
v7_vectsp_1(sK1),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l10,plain,
v7_vectsp_1(sK1),
inference(instantiation,[status(thm)],[7]) ).
cnf(l19,plain,
v3_rlvect_1(sK2),
inference(instantiation,[status(thm)],[11]) ).
cnf(18,plain,
m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2))),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l116,plain,
m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2))),
inference(instantiation,[status(thm)],[18]) ).
cnf(10,plain,
~ v3_struct_0(sK2),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l554,plain,
~ v3_struct_0(sK2),
inference(instantiation,[status(thm)],[10]) ).
cnf(l9,plain,
v5_rlvect_1(sK2),
inference(instantiation,[status(thm)],[13]) ).
cnf(l50,plain,
v6_rlvect_1(sK2),
inference(instantiation,[status(thm)],[14]) ).
cnf(l46,plain,
v5_vectsp_2(sK2,sK1),
inference(instantiation,[status(thm)],[15]) ).
cnf(l17,plain,
m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2))),
inference(instantiation,[status(thm)],[18]) ).
cnf(l75,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[5]) ).
cnf(l78,plain,
v6_rlvect_1(sK1),
inference(instantiation,[status(thm)],[4]) ).
cnf(25,plain,
( ~ v4_rlvect_1(X0)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X0)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X0)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X0)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_rlvect_1(X0)
| ~ v3_rlvect_1(X1)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v1_rmod_5(X2,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1)
| m2_rmod_4(sK5(X0,X1,X2),X0,X1,X2) ),
inference(cnf,[status(esa)],[d1_rmod_5]) ).
cnf(l383,plain,
( ~ v4_rlvect_1(sK1)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK1)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK1)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK1)
| ~ v5_vectsp_2(sK2,sK1)
| ~ l1_vectsp_2(sK2,sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v3_rlvect_1(sK1)
| ~ v3_rlvect_1(sK2)
| ~ v6_vectsp_1(sK1)
| ~ v7_vectsp_1(sK1)
| ~ v8_vectsp_1(sK1)
| ~ l3_vectsp_1(sK1)
| v1_rmod_5(sK3,sK1,sK2)
| v3_struct_0(sK1)
| v3_struct_0(sK2)
| m2_rmod_4(sK5(sK1,sK2,sK3),sK1,sK2,sK3) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l1115,plain,
v4_rlvect_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l398,plain,
v5_rlvect_1(sK2),
inference(instantiation,[status(thm)],[13]) ).
cnf(l1660,plain,
v3_rlvect_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l1554,plain,
~ v3_struct_0(sK2),
inference(instantiation,[status(thm)],[10]) ).
cnf(17,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l1555,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
inference(instantiation,[status(thm)],[17]) ).
cnf(l1557,plain,
v5_vectsp_2(sK2,sK1),
inference(instantiation,[status(thm)],[15]) ).
cnf(l1556,plain,
v3_rlvect_1(sK2),
inference(instantiation,[status(thm)],[11]) ).
cnf(l386,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[5]) ).
cnf(l987,plain,
v4_rlvect_1(sK2),
inference(instantiation,[status(thm)],[12]) ).
cnf(l387,plain,
l3_vectsp_1(sK1),
inference(instantiation,[status(thm)],[9]) ).
cnf(l1550,plain,
v5_rlvect_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(21,plain,
~ v1_rmod_5(sK3,sK1,sK2),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l1560,plain,
~ v1_rmod_5(sK3,sK1,sK2),
inference(instantiation,[status(thm)],[21]) ).
cnf(l39,plain,
l3_vectsp_1(sK1),
inference(instantiation,[status(thm)],[9]) ).
cnf(l396,plain,
v6_rlvect_1(sK1),
inference(instantiation,[status(thm)],[4]) ).
cnf(19,plain,
r1_tarski(sK3,sK4),
inference(cnf,[status(esa)],[t2_rmod_5_negated]) ).
cnf(l131,plain,
r1_tarski(sK3,sK4),
inference(instantiation,[status(thm)],[19]) ).
cnf(l51,plain,
v5_rlvect_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l391,plain,
v6_rlvect_1(sK2),
inference(instantiation,[status(thm)],[14]) ).
cnf(26,plain,
( ~ v4_rlvect_1(X0)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X0)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X0)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X0)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_rlvect_1(X0)
| ~ v3_rlvect_1(X1)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v1_rmod_5(X2,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1)
| k5_rmod_4(X0,X1,sK5(X0,X1,X2)) = k1_rlvect_1(X1) ),
inference(cnf,[status(esa)],[d1_rmod_5]) ).
cnf(l11,plain,
( ~ v4_rlvect_1(sK1)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK1)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK1)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK1)
| ~ v5_vectsp_2(sK2,sK1)
| ~ l1_vectsp_2(sK2,sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v3_rlvect_1(sK1)
| ~ v3_rlvect_1(sK2)
| ~ v6_vectsp_1(sK1)
| ~ v7_vectsp_1(sK1)
| ~ v8_vectsp_1(sK1)
| ~ l3_vectsp_1(sK1)
| v1_rmod_5(sK3,sK1,sK2)
| v3_struct_0(sK1)
| v3_struct_0(sK2)
| k5_rmod_4(sK1,sK2,sK5(sK1,sK2,sK3)) = k1_rlvect_1(sK2) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l359,plain,
v5_rlvect_1(sK2),
inference(instantiation,[status(thm)],[13]) ).
cnf(l341,plain,
v6_vectsp_1(sK1),
inference(instantiation,[status(thm)],[6]) ).
cnf(l385,plain,
v8_vectsp_1(sK1),
inference(instantiation,[status(thm)],[8]) ).
cnf(l82,plain,
v4_rlvect_1(sK2),
inference(instantiation,[status(thm)],[12]) ).
cnf(l339,plain,
l3_vectsp_1(sK1),
inference(instantiation,[status(thm)],[9]) ).
cnf(l334,plain,
v6_rlvect_1(sK2),
inference(instantiation,[status(thm)],[14]) ).
cnf(l338,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
inference(instantiation,[status(thm)],[17]) ).
cnf(l351,plain,
v3_rlvect_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(l393,plain,
v6_vectsp_1(sK1),
inference(instantiation,[status(thm)],[6]) ).
cnf(l302,plain,
v4_rlvect_1(sK2),
inference(instantiation,[status(thm)],[12]) ).
cnf(l65,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
inference(instantiation,[status(thm)],[17]) ).
cnf(l335,plain,
~ v1_rmod_5(sK3,sK1,sK2),
inference(instantiation,[status(thm)],[21]) ).
cnf(l193,plain,
v5_rlvect_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l333,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[5]) ).
cnf(l361,plain,
v7_vectsp_1(sK1),
inference(instantiation,[status(thm)],[7]) ).
cnf(l373,plain,
v8_vectsp_1(sK1),
inference(instantiation,[status(thm)],[8]) ).
cnf(l366,plain,
l1_vectsp_2(sK2,sK1),
inference(instantiation,[status(thm)],[16]) ).
cnf(l399,plain,
v7_vectsp_1(sK1),
inference(instantiation,[status(thm)],[7]) ).
cnf(l551,plain,
~ v3_struct_0(sK2),
inference(instantiation,[status(thm)],[10]) ).
cnf(l336,plain,
v6_rlvect_1(sK1),
inference(instantiation,[status(thm)],[4]) ).
cnf(l350,plain,
v5_vectsp_2(sK2,sK1),
inference(instantiation,[status(thm)],[15]) ).
cnf(l35,plain,
v8_vectsp_1(sK1),
inference(instantiation,[status(thm)],[8]) ).
cnf(l357,plain,
v3_rlvect_1(sK2),
inference(instantiation,[status(thm)],[11]) ).
cnf(l18,plain,
v4_rlvect_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l68,plain,
v7_vectsp_1(sK1),
inference(instantiation,[status(thm)],[7]) ).
cnf(l533,plain,
~ v3_struct_0(sK2),
inference(instantiation,[status(thm)],[10]) ).
cnf(l1558,plain,
l1_vectsp_2(sK2,sK1),
inference(instantiation,[status(thm)],[16]) ).
cnf(27,plain,
( ~ v4_rlvect_1(X0)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X0)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X0)
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X0)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_rlvect_1(X0)
| ~ v3_rlvect_1(X1)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| k2_rmod_4(X0,X1,sK5(X0,X1,X2)) != k1_xboole_0
| v1_rmod_5(X2,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1) ),
inference(cnf,[status(esa)],[d1_rmod_5]) ).
cnf(l256,plain,
( ~ v4_rlvect_1(sK1)
| ~ v4_rlvect_1(sK2)
| ~ v5_rlvect_1(sK1)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK1)
| ~ v6_rlvect_1(sK2)
| ~ v4_group_1(sK1)
| ~ v5_vectsp_2(sK2,sK1)
| ~ l1_vectsp_2(sK2,sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v3_rlvect_1(sK1)
| ~ v3_rlvect_1(sK2)
| ~ v6_vectsp_1(sK1)
| ~ v7_vectsp_1(sK1)
| ~ v8_vectsp_1(sK1)
| ~ l3_vectsp_1(sK1)
| k2_rmod_4(sK1,sK2,sK5(sK1,sK2,sK3)) != k1_xboole_0
| v1_rmod_5(sK3,sK1,sK2)
| v3_struct_0(sK1)
| v3_struct_0(sK2) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l303,plain,
v4_rlvect_1(sK1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l1173,plain,
v4_group_1(sK1),
inference(instantiation,[status(thm)],[5]) ).
cnf(l1156,plain,
v6_vectsp_1(sK1),
inference(instantiation,[status(thm)],[6]) ).
cnf(l1150,plain,
l1_vectsp_2(sK2,sK1),
inference(instantiation,[status(thm)],[16]) ).
cnf(l261,plain,
v5_rlvect_1(sK1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l260,plain,
v5_rlvect_1(sK2),
inference(instantiation,[status(thm)],[13]) ).
cnf(l1174,plain,
~ v1_rmod_5(sK3,sK1,sK2),
inference(instantiation,[status(thm)],[21]) ).
cnf(l433,plain,
v4_rlvect_1(sK2),
inference(instantiation,[status(thm)],[12]) ).
cnf(l1157,plain,
v8_vectsp_1(sK1),
inference(instantiation,[status(thm)],[8]) ).
cnf(l1142,plain,
v5_vectsp_2(sK2,sK1),
inference(instantiation,[status(thm)],[15]) ).
cnf(l1152,plain,
l3_vectsp_1(sK1),
inference(instantiation,[status(thm)],[9]) ).
cnf(l330,plain,
v6_rlvect_1(sK2),
inference(instantiation,[status(thm)],[14]) ).
cnf(l328,plain,
v6_rlvect_1(sK1),
inference(instantiation,[status(thm)],[4]) ).
cnf(l1171,plain,
v7_vectsp_1(sK1),
inference(instantiation,[status(thm)],[7]) ).
cnf(l1158,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
inference(instantiation,[status(thm)],[17]) ).
cnf(l1307,plain,
~ v3_struct_0(sK2),
inference(instantiation,[status(thm)],[10]) ).
cnf(l1154,plain,
v3_rlvect_1(sK2),
inference(instantiation,[status(thm)],[11]) ).
cnf(l1151,plain,
v3_rlvect_1(sK1),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l40,l13,l6,l53,l160,l45,l77,l41,l62,l2,l12,l74,l5,l61,l66,l128,l3,l29,l76,l10,l19,l116,l554,l9,l50,l46,l17,l75,l78,l383,l1115,l398,l1660,l1554,l1555,l1557,l1556,l386,l987,l387,l1550,l1560,l39,l396,l131,l51,l391,l11,l359,l341,l385,l82,l339,l334,l338,l351,l393,l302,l65,l335,l193,l333,l361,l373,l366,l399,l551,l336,l350,l35,l357,l18,l68,l533,l1558,l256,l303,l1173,l1156,l1150,l261,l260,l1174,l433,l1157,l1142,l1152,l330,l328,l1171,l1158,l1307,l1154,l1151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ALG214+1 : TPTP v9.0.0. Released v3.4.0.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.29 % CPULimit : 300
% 0.13/0.29 % WCLimit : 300
% 0.13/0.29 % DateTime : Sun Jul 20 02:45:34 EDT 2025
% 0.13/0.29 % CPUTime :
% 0.13/0.30 % launching worker at depth: 3
% 0.13/0.30 % launching worker at depth: 4
% 0.13/0.30 % launching worker at depth: 5
% 0.13/0.30 % launching worker at depth: 8
% 0.13/0.30 % launching worker at depth: 1
% 0.13/0.30 % launching worker at depth: 2
% 0.13/0.30 % launching worker at depth: 7
% 0.13/0.30 % launching worker at depth: 6
% 0.13/0.30 % launching worker at depth: 9
% 0.14/0.34 % launching worker at depth: 10
% 2.66/0.66 % launching worker at depth: 11
% 26.41/3.63 % SZS status Theorem for theBenchmark
% 26.41/3.63 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------