%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : ALG216+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n008.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 0.85s 0.54s
% Output : CNFRefutation 0.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 9
% Syntax : Number of formulae : 93 ( 24 unt; 0 def)
% Number of atoms : 695 ( 64 equ)
% Maximal formula atoms : 23 ( 7 avg)
% Number of connectives : 1096 ( 494 ~; 493 |; 88 &)
% ( 0 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 8 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 119 ( 0 sgn 18 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(dt_l1_vectsp_1,axiom,
! [A] :
( l1_vectsp_1(A)
=> l1_group_1(A) ),
file('theBenchmark.p',dt_l1_vectsp_1) ).
fof(dt_l1_group_1,axiom,
! [A] :
( l1_group_1(A)
=> l1_struct_0(A) ),
file('theBenchmark.p',dt_l1_group_1) ).
fof(dt_l1_rlvect_1,axiom,
! [A] :
( l1_rlvect_1(A)
=> l2_struct_0(A) ),
file('theBenchmark.p',dt_l1_rlvect_1) ).
fof(dt_l2_vectsp_1,axiom,
! [A] :
( l2_vectsp_1(A)
=> ( l2_struct_0(A)
& l1_vectsp_1(A) ) ),
file('theBenchmark.p',dt_l2_vectsp_1) ).
fof(dt_k1_rlvect_1,axiom,
! [A] :
( l2_struct_0(A)
=> m1_subset_1(k1_rlvect_1(A),u1_struct_0(A)) ),
file('theBenchmark.p',dt_k1_rlvect_1) ).
fof(dt_l1_vectsp_2,axiom,
! [A] :
( l1_struct_0(A)
=> ! [B] :
( l1_vectsp_2(B,A)
=> l1_rlvect_1(B) ) ),
file('theBenchmark.p',dt_l1_vectsp_2) ).
fof(dt_l3_vectsp_1,axiom,
! [A] :
( l3_vectsp_1(A)
=> ( l2_vectsp_1(A)
& l1_rlvect_1(A) ) ),
file('theBenchmark.p',dt_l3_vectsp_1) ).
fof(t5_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,u1_struct_0(B))
=> ! [D] :
( m1_subset_1(D,u1_struct_0(B))
=> ( v1_rmod_5(k8_rlvect_2(B,C,D),A,B)
=> ( ( D != k1_rlvect_1(B)
& C != k1_rlvect_1(B) )
| k1_rlvect_1(A) = k2_group_1(A) ) ) ) ) ) ),
file('theBenchmark.p',t5_rmod_5) ).
fof(t6_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) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ( k1_rlvect_1(A) != k2_group_1(A)
=> ( ~ v1_rmod_5(k8_rlvect_2(B,k1_rlvect_1(B),C),A,B)
& ~ v1_rmod_5(k8_rlvect_2(B,C,k1_rlvect_1(B)),A,B) ) ) ) ) ),
file('theBenchmark.p',t6_rmod_5) ).
fof(t6_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) )
=> ! [C] :
( m1_subset_1(C,u1_struct_0(B))
=> ( k1_rlvect_1(A) != k2_group_1(A)
=> ( ~ v1_rmod_5(k8_rlvect_2(B,k1_rlvect_1(B),C),A,B)
& ~ v1_rmod_5(k8_rlvect_2(B,C,k1_rlvect_1(B)),A,B) ) ) ) ) ),
inference(assume_negation,[status(cth)],[t6_rmod_5]) ).
fof(nnf_52,plain,
? [A] :
( ? [B] :
( ? [C] :
( ( v1_rmod_5(k8_rlvect_2(B,k1_rlvect_1(B),C),A,B)
| v1_rmod_5(k8_rlvect_2(B,C,k1_rlvect_1(B)),A,B) )
& k2_group_1(A) != k1_rlvect_1(A)
& m1_subset_1(C,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)],[t6_rmod_5_neg]) ).
fof(sk_t6_rmod_5_neg,plain,
( ( v1_rmod_5(k8_rlvect_2(sK1,k1_rlvect_1(sK1),sK2),sK0,sK1)
| v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1) )
& k2_group_1(sK0) != k1_rlvect_1(sK0)
& m1_subset_1(sK2,u1_struct_0(sK1))
& l1_vectsp_2(sK1,sK0)
& v5_vectsp_2(sK1,sK0)
& v6_rlvect_1(sK1)
& v5_rlvect_1(sK1)
& v4_rlvect_1(sK1)
& v3_rlvect_1(sK1)
& ~ v3_struct_0(sK1)
& 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,sK1,sK2]),skolemize(A,sK0),skolemize(B,sK1),skolemize(C,sK2)],[nnf_52]) ).
cnf(c_53,negated_conjecture,
v4_group_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t6_rmod_5_neg]) ).
cnf(c_54,plain,
( k1_rlvect_1(B) != D
| k2_group_1(A) = k1_rlvect_1(A)
| ~ v1_rmod_5(k8_rlvect_2(B,C,D),A,B)
| ~ m1_subset_1(D,u1_struct_0(B))
| ~ m1_subset_1(C,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)],[t5_rmod_5]) ).
cnf(c_55,plain,
( k1_rlvect_1(B) != C
| k2_group_1(A) = k1_rlvect_1(A)
| ~ v1_rmod_5(k8_rlvect_2(B,C,D),A,B)
| ~ m1_subset_1(D,u1_struct_0(B))
| ~ m1_subset_1(C,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)],[t5_rmod_5]) ).
cnf(c_59,plain,
( l1_group_1(A)
| ~ l1_vectsp_1(A) ),
inference(clausify,[status(thm)],[dt_l1_vectsp_1]) ).
cnf(c_61,plain,
( l1_vectsp_1(A)
| ~ l2_vectsp_1(A) ),
inference(clausify,[status(thm)],[dt_l2_vectsp_1]) ).
cnf(c_64,plain,
( l1_group_1(A)
| ~ l2_vectsp_1(A) ),
inference(resolve,[status(thm)],[c_61,c_59]) ).
cnf(c_65,plain,
( l1_struct_0(A)
| ~ l1_group_1(A) ),
inference(clausify,[status(thm)],[dt_l1_group_1]) ).
cnf(c_69,plain,
( ~ l2_vectsp_1(A)
| l1_struct_0(A) ),
inference(resolve,[status(thm)],[c_65,c_64]) ).
cnf(c_86,plain,
( l1_rlvect_1(B)
| ~ l1_vectsp_2(B,A)
| ~ l1_struct_0(A) ),
inference(clausify,[status(thm)],[dt_l1_vectsp_2]) ).
cnf(c_87,plain,
( l2_struct_0(A)
| ~ l1_rlvect_1(A) ),
inference(clausify,[status(thm)],[dt_l1_rlvect_1]) ).
cnf(c_94,plain,
( ~ l2_vectsp_1(B)
| l1_rlvect_1(A)
| ~ l1_vectsp_2(A,B) ),
inference(resolve,[status(thm)],[c_86,c_69]) ).
cnf(c_96,plain,
( l2_vectsp_1(A)
| ~ l3_vectsp_1(A) ),
inference(clausify,[status(thm)],[dt_l3_vectsp_1]) ).
cnf(c_108,plain,
( l2_struct_0(A)
| ~ l2_vectsp_1(B)
| ~ l1_vectsp_2(A,B) ),
inference(resolve,[status(thm)],[c_94,c_87]) ).
cnf(c_129,plain,
( l2_struct_0(B)
| ~ l1_vectsp_2(B,A)
| ~ l3_vectsp_1(A) ),
inference(resolve,[status(thm)],[c_96,c_108]) ).
cnf(c_169,plain,
( m1_subset_1(k1_rlvect_1(A),u1_struct_0(A))
| ~ l2_struct_0(A) ),
inference(clausify,[status(thm)],[dt_k1_rlvect_1]) ).
cnf(c_170,negated_conjecture,
~ v3_struct_0(sK0),
inference(split_conjunct,[status(thm)],[sk_t6_rmod_5_neg]) ).
cnf(c_171,negated_conjecture,
v3_rlvect_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t6_rmod_5_neg]) ).
cnf(c_172,negated_conjecture,
v4_rlvect_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t6_rmod_5_neg]) ).
cnf(c_173,negated_conjecture,
v5_rlvect_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t6_rmod_5_neg]) ).
cnf(c_174,negated_conjecture,
v6_rlvect_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t6_rmod_5_neg]) ).
cnf(c_175,negated_conjecture,
v6_vectsp_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t6_rmod_5_neg]) ).
cnf(c_176,negated_conjecture,
v7_vectsp_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t6_rmod_5_neg]) ).
cnf(c_177,negated_conjecture,
v8_vectsp_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t6_rmod_5_neg]) ).
cnf(c_178,negated_conjecture,
l3_vectsp_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t6_rmod_5_neg]) ).
cnf(c_179,negated_conjecture,
~ v3_struct_0(sK1),
inference(split_conjunct,[status(thm)],[sk_t6_rmod_5_neg]) ).
cnf(c_180,negated_conjecture,
v3_rlvect_1(sK1),
inference(split_conjunct,[status(thm)],[sk_t6_rmod_5_neg]) ).
cnf(c_181,negated_conjecture,
v4_rlvect_1(sK1),
inference(split_conjunct,[status(thm)],[sk_t6_rmod_5_neg]) ).
cnf(c_182,negated_conjecture,
v5_rlvect_1(sK1),
inference(split_conjunct,[status(thm)],[sk_t6_rmod_5_neg]) ).
cnf(c_183,negated_conjecture,
v6_rlvect_1(sK1),
inference(split_conjunct,[status(thm)],[sk_t6_rmod_5_neg]) ).
cnf(c_184,negated_conjecture,
v5_vectsp_2(sK1,sK0),
inference(split_conjunct,[status(thm)],[sk_t6_rmod_5_neg]) ).
cnf(c_185,negated_conjecture,
l1_vectsp_2(sK1,sK0),
inference(split_conjunct,[status(thm)],[sk_t6_rmod_5_neg]) ).
cnf(c_186,negated_conjecture,
m1_subset_1(sK2,u1_struct_0(sK1)),
inference(split_conjunct,[status(thm)],[sk_t6_rmod_5_neg]) ).
cnf(c_187,negated_conjecture,
k2_group_1(sK0) != k1_rlvect_1(sK0),
inference(split_conjunct,[status(thm)],[sk_t6_rmod_5_neg]) ).
cnf(c_188,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(sK1,k1_rlvect_1(sK1),sK2),sK0,sK1)
| v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1) ),
inference(split_conjunct,[status(thm)],[sk_t6_rmod_5_neg]) ).
cnf(c_189,negated_conjecture,
( k1_rlvect_1(A) != C
| k2_group_1(sK0) = k1_rlvect_1(sK0)
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_53,c_54]) ).
cnf(c_1211,negated_conjecture,
( k1_rlvect_1(A) != C
| k2_group_1(sK0) = k1_rlvect_1(sK0)
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_170,c_189]) ).
cnf(c_1212,negated_conjecture,
( k1_rlvect_1(A) != C
| k2_group_1(sK0) = k1_rlvect_1(sK0)
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_171,c_1211]) ).
cnf(c_1213,negated_conjecture,
( k1_rlvect_1(A) != C
| k2_group_1(sK0) = k1_rlvect_1(sK0)
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_172,c_1212]) ).
cnf(c_1214,negated_conjecture,
( k1_rlvect_1(A) != C
| k2_group_1(sK0) = k1_rlvect_1(sK0)
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_173,c_1213]) ).
cnf(c_1215,negated_conjecture,
( k1_rlvect_1(A) != C
| k2_group_1(sK0) = k1_rlvect_1(sK0)
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_174,c_1214]) ).
cnf(c_1216,negated_conjecture,
( k1_rlvect_1(A) != C
| k2_group_1(sK0) = k1_rlvect_1(sK0)
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_175,c_1215]) ).
cnf(c_1217,negated_conjecture,
( k1_rlvect_1(A) != C
| k2_group_1(sK0) = k1_rlvect_1(sK0)
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_176,c_1216]) ).
cnf(c_1218,negated_conjecture,
( k1_rlvect_1(A) != C
| k2_group_1(sK0) = k1_rlvect_1(sK0)
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_177,c_1217]) ).
cnf(c_1219,negated_conjecture,
( k1_rlvect_1(A) != C
| k2_group_1(sK0) = k1_rlvect_1(sK0)
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_178,c_1218]) ).
cnf(c_190,negated_conjecture,
( k1_rlvect_1(A) != C
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_187,c_1219]) ).
cnf(c_191,negated_conjecture,
( k1_rlvect_1(A) != B
| k2_group_1(sK0) = k1_rlvect_1(sK0)
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_53,c_55]) ).
cnf(c_1220,negated_conjecture,
( k1_rlvect_1(A) != B
| k2_group_1(sK0) = k1_rlvect_1(sK0)
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_170,c_191]) ).
cnf(c_1221,negated_conjecture,
( k1_rlvect_1(A) != B
| k2_group_1(sK0) = k1_rlvect_1(sK0)
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_171,c_1220]) ).
cnf(c_1222,negated_conjecture,
( k1_rlvect_1(A) != B
| k2_group_1(sK0) = k1_rlvect_1(sK0)
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_172,c_1221]) ).
cnf(c_1223,negated_conjecture,
( k1_rlvect_1(A) != B
| k2_group_1(sK0) = k1_rlvect_1(sK0)
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_173,c_1222]) ).
cnf(c_1224,negated_conjecture,
( k1_rlvect_1(A) != B
| k2_group_1(sK0) = k1_rlvect_1(sK0)
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_174,c_1223]) ).
cnf(c_1225,negated_conjecture,
( k1_rlvect_1(A) != B
| k2_group_1(sK0) = k1_rlvect_1(sK0)
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_175,c_1224]) ).
cnf(c_1226,negated_conjecture,
( k1_rlvect_1(A) != B
| k2_group_1(sK0) = k1_rlvect_1(sK0)
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_176,c_1225]) ).
cnf(c_1227,negated_conjecture,
( k1_rlvect_1(A) != B
| k2_group_1(sK0) = k1_rlvect_1(sK0)
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_177,c_1226]) ).
cnf(c_1228,negated_conjecture,
( k1_rlvect_1(A) != B
| k2_group_1(sK0) = k1_rlvect_1(sK0)
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_178,c_1227]) ).
cnf(c_192,negated_conjecture,
( k1_rlvect_1(A) != B
| ~ v1_rmod_5(k8_rlvect_2(A,B,C),sK0,A)
| ~ m1_subset_1(C,u1_struct_0(A))
| ~ m1_subset_1(B,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_187,c_1228]) ).
cnf(c_1229,negated_conjecture,
( l2_struct_0(sK1)
| ~ l3_vectsp_1(sK0) ),
inference(resolve,[status(thm)],[c_185,c_129]) ).
cnf(c_370,negated_conjecture,
l2_struct_0(sK1),
inference(resolve,[status(thm)],[c_178,c_1229]) ).
cnf(c_1230,negated_conjecture,
( k1_rlvect_1(sK1) != A
| ~ v1_rmod_5(k8_rlvect_2(sK1,sK2,A),sK0,sK1)
| ~ m1_subset_1(A,u1_struct_0(sK1))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1) ),
inference(resolve,[status(thm)],[c_190,c_186]) ).
cnf(c_1231,negated_conjecture,
( k1_rlvect_1(sK1) != A
| ~ v1_rmod_5(k8_rlvect_2(sK1,sK2,A),sK0,sK1)
| ~ m1_subset_1(A,u1_struct_0(sK1))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1) ),
inference(resolve,[status(thm)],[c_179,c_1230]) ).
cnf(c_1232,negated_conjecture,
( k1_rlvect_1(sK1) != A
| ~ v1_rmod_5(k8_rlvect_2(sK1,sK2,A),sK0,sK1)
| ~ m1_subset_1(A,u1_struct_0(sK1))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1) ),
inference(resolve,[status(thm)],[c_180,c_1231]) ).
cnf(c_1233,negated_conjecture,
( k1_rlvect_1(sK1) != A
| ~ v1_rmod_5(k8_rlvect_2(sK1,sK2,A),sK0,sK1)
| ~ m1_subset_1(A,u1_struct_0(sK1))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1) ),
inference(resolve,[status(thm)],[c_181,c_1232]) ).
cnf(c_1234,negated_conjecture,
( k1_rlvect_1(sK1) != A
| ~ v1_rmod_5(k8_rlvect_2(sK1,sK2,A),sK0,sK1)
| ~ m1_subset_1(A,u1_struct_0(sK1))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1) ),
inference(resolve,[status(thm)],[c_182,c_1233]) ).
cnf(c_1235,negated_conjecture,
( k1_rlvect_1(sK1) != A
| ~ v1_rmod_5(k8_rlvect_2(sK1,sK2,A),sK0,sK1)
| ~ m1_subset_1(A,u1_struct_0(sK1))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0) ),
inference(resolve,[status(thm)],[c_183,c_1234]) ).
cnf(c_1236,negated_conjecture,
( k1_rlvect_1(sK1) != A
| ~ v1_rmod_5(k8_rlvect_2(sK1,sK2,A),sK0,sK1)
| ~ m1_subset_1(A,u1_struct_0(sK1))
| ~ l1_vectsp_2(sK1,sK0) ),
inference(resolve,[status(thm)],[c_184,c_1235]) ).
cnf(c_379,negated_conjecture,
( k1_rlvect_1(sK1) != A
| ~ v1_rmod_5(k8_rlvect_2(sK1,sK2,A),sK0,sK1)
| ~ m1_subset_1(A,u1_struct_0(sK1)) ),
inference(resolve,[status(thm)],[c_185,c_1236]) ).
cnf(c_1237,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1)
| k1_rlvect_1(sK1) != k1_rlvect_1(sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1) ),
inference(resolve,[status(thm)],[c_192,c_188]) ).
cnf(c_1238,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1)
| v3_struct_0(sK1) ),
inference(copy,[status(thm)],[c_1237]) ).
cnf(c_1239,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1)
| ~ v3_rlvect_1(sK1) ),
inference(resolve,[status(thm)],[c_179,c_1238]) ).
cnf(c_1240,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1)
| ~ v4_rlvect_1(sK1) ),
inference(resolve,[status(thm)],[c_180,c_1239]) ).
cnf(c_1241,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1)
| ~ v5_rlvect_1(sK1) ),
inference(resolve,[status(thm)],[c_181,c_1240]) ).
cnf(c_1242,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0)
| ~ v6_rlvect_1(sK1) ),
inference(resolve,[status(thm)],[c_182,c_1241]) ).
cnf(c_1243,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ l1_vectsp_2(sK1,sK0)
| ~ v5_vectsp_2(sK1,sK0) ),
inference(resolve,[status(thm)],[c_183,c_1242]) ).
cnf(c_1244,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1))
| ~ l1_vectsp_2(sK1,sK0) ),
inference(resolve,[status(thm)],[c_184,c_1243]) ).
cnf(c_1245,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1)
| ~ m1_subset_1(sK2,u1_struct_0(sK1))
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1)) ),
inference(resolve,[status(thm)],[c_185,c_1244]) ).
cnf(c_406,negated_conjecture,
( v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1)
| ~ m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1)) ),
inference(resolve,[status(thm)],[c_186,c_1245]) ).
cnf(c_597,plain,
m1_subset_1(k1_rlvect_1(sK1),u1_struct_0(sK1)),
inference(resolve,[status(thm)],[c_370,c_169]) ).
cnf(c_599,negated_conjecture,
v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1),
inference(resolve,[status(thm)],[c_597,c_406]) ).
cnf(c_1246,plain,
( k1_rlvect_1(sK1) != k1_rlvect_1(sK1)
| ~ v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1) ),
inference(resolve,[status(thm)],[c_379,c_597]) ).
cnf(c_1247,plain,
~ v1_rmod_5(k8_rlvect_2(sK1,sK2,k1_rlvect_1(sK1)),sK0,sK1),
inference(copy,[status(thm)],[c_1246]) ).
cnf(c_1210,plain,
$false,
inference(resolve,[status(thm)],[c_599,c_1247]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG216+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n008.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 21:28:41 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.36 % Process 384086 was started by sandbox on n008,
% 0.12/0.36 % Sat Sep 26 21:28:41 2026
% 0.12/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/0.37
% 0.12/0.37 % From the command line: assign(max_seconds, 300).
% 0.85/0.54
% 0.85/0.54 % SZS status Theorem for theBenchmark
% 0.85/0.54
% 0.85/0.54 % Proof 1 at 0.11 (+ 0.03) seconds.
% 0.85/0.54 % Length of proof is 53.
% 0.85/0.54 % Level of proof is 10.
% 0.85/0.54 % Maximum clause weight is 45.000.
% 0.85/0.54 % Given clauses 365.
% 0.85/0.54
% 0.85/0.54 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------