%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : ALG222+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/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 : Thu Sep 24 11:49:01 AM UTC 2026
% Result : Theorem 237.87s 36.45s
% Output : CNFRefutation 61.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 46
% Syntax : Number of formulae : 215 ( 66 unt; 34 def)
% Number of atoms : 883 ( 20 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 1103 ( 435 ~; 469 |; 141 &)
% ( 34 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 56 ( 54 usr; 35 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-4 aty)
% Number of variables : 127 ( 123 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [A,B] : r1_tarski(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f57,axiom,
! [A,B] : k3_xboole_0(A,B) = k3_xboole_0(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,axiom,
! [A,B] : r1_tarski(k3_xboole_0(A,B),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f117,axiom,
! [A,B] : k4_xboole_0(A,k4_xboole_0(A,B)) = k3_xboole_0(A,B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f175,axiom,
! [A,B,C] :
( r1_tarski(A,k4_xboole_0(B,C))
=> ( r1_xboole_0(A,C)
& r1_tarski(A,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f571,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(A))
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> m1_subset_1(k5_subset_1(A,B,C),k1_zfmisc_1(A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f572,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(A))
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> k5_subset_1(A,B,C) = k5_subset_1(A,C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f574,axiom,
! [A,B,C] :
( ( m1_subset_1(C,k1_zfmisc_1(A))
& m1_subset_1(B,k1_zfmisc_1(A)) )
=> k5_subset_1(A,B,C) = k3_xboole_0(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9820,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_rmod_2(C,A,B)
=> ! [D] :
( m1_rmod_2(D,A,B)
=> ! [E] :
( m1_rmod_2(E,A,B)
=> ( ( m1_rmod_2(C,A,E)
& m1_rmod_2(C,A,D) )
=> m1_rmod_2(C,A,k2_rmod_3(A,B,D,E)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9989,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)
& v2_vectsp_2(A)
& ~ v10_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_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) )
=> ( m1_rmod_2(k1_rmod_5(A,B,C),A,B)
& v3_vectsp_2(k1_rmod_5(A,B,C),A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10006,axiom,
! [A] :
( ( l3_vectsp_1(A)
& v2_vectsp_2(A)
& ~ v10_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_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_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
=> ( r1_tarski(C,D)
=> m1_rmod_2(k1_rmod_5(A,B,C),A,k1_rmod_5(A,B,D)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10009,conjecture,
! [A] :
( ( l3_vectsp_1(A)
& v2_vectsp_2(A)
& ~ v10_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_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_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
=> m1_rmod_2(k1_rmod_5(A,B,k5_subset_1(u1_struct_0(B),C,D)),A,k2_rmod_3(A,B,k1_rmod_5(A,B,C),k1_rmod_5(A,B,D))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10010,negated_conjecture,
~ ! [A] :
( ( l3_vectsp_1(A)
& v2_vectsp_2(A)
& ~ v10_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_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_subset_1(D,k1_zfmisc_1(u1_struct_0(B)))
=> m1_rmod_2(k1_rmod_5(A,B,k5_subset_1(u1_struct_0(B),C,D)),A,k2_rmod_3(A,B,k1_rmod_5(A,B,C),k1_rmod_5(A,B,D))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f10009]) ).
fof(f10086,plain,
! [A] : r1_tarski(A,A),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f10087,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[status(thm)],[f10086]) ).
fof(f10219,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f10270,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f10328,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
inference(cnf_transformation,[status(thm)],[f117]) ).
fof(f10447,plain,
! [A,B,C] :
( ( r1_xboole_0(A,C)
& r1_tarski(A,B) )
| ~ r1_tarski(A,k4_xboole_0(B,C)) ),
inference(pre_NNF_transformation,[status(thm)],[f175]) ).
fof(f10448,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k4_xboole_0(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f10447]) ).
fof(f11231,plain,
! [A,B,C] :
( m1_subset_1(k5_subset_1(A,B,C),k1_zfmisc_1(A))
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(pre_NNF_transformation,[status(thm)],[f571]) ).
fof(f11232,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X1,X0,X2),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[status(thm)],[f11231]) ).
fof(f11233,plain,
! [A,B,C] :
( k5_subset_1(A,B,C) = k5_subset_1(A,C,B)
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(pre_NNF_transformation,[status(thm)],[f572]) ).
fof(f11234,plain,
! [X0,X1,X2] :
( k5_subset_1(X1,X0,X2) = k5_subset_1(X1,X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[status(thm)],[f11233]) ).
fof(f11238,plain,
! [A,B,C] :
( k5_subset_1(A,B,C) = k3_xboole_0(B,C)
| ~ m1_subset_1(C,k1_zfmisc_1(A))
| ~ m1_subset_1(B,k1_zfmisc_1(A)) ),
inference(pre_NNF_transformation,[status(thm)],[f574]) ).
fof(f11239,plain,
! [X0,X1,X2] :
( k5_subset_1(X1,X0,X2) = k3_xboole_0(X0,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[status(thm)],[f11238]) ).
fof(f39529,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( ! [E] :
( m1_rmod_2(C,A,k2_rmod_3(A,B,D,E))
| ~ m1_rmod_2(C,A,E)
| ~ m1_rmod_2(C,A,D)
| ~ m1_rmod_2(E,A,B) )
| ~ m1_rmod_2(D,A,B) )
| ~ m1_rmod_2(C,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(pre_NNF_transformation,[status(thm)],[f9820]) ).
fof(f39530,plain,
! [X0,X1,X2,X3,X4] :
( m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4))
| ~ m1_rmod_2(X2,X0,X4)
| ~ m1_rmod_2(X2,X0,X3)
| ~ m1_rmod_2(X4,X0,X1)
| ~ m1_rmod_2(X3,X0,X1)
| ~ m1_rmod_2(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f39529]) ).
fof(f39971,plain,
! [A,B,C] :
( ( m1_rmod_2(k1_rmod_5(A,B,C),A,B)
& v3_vectsp_2(k1_rmod_5(A,B,C),A) )
| ~ 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)
| ~ v2_vectsp_2(A)
| v10_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v7_group_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(pre_NNF_transformation,[status(thm)],[f9989]) ).
fof(f39973,plain,
! [X0,X1,X2] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f39971]) ).
fof(f40015,plain,
! [A] :
( ! [B] :
( ! [C] :
( ! [D] :
( m1_rmod_2(k1_rmod_5(A,B,C),A,k1_rmod_5(A,B,D))
| ~ r1_tarski(C,D)
| ~ m1_subset_1(D,k1_zfmisc_1(u1_struct_0(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)
| ~ v2_vectsp_2(A)
| v10_vectsp_1(A)
| ~ v8_vectsp_1(A)
| ~ v7_vectsp_1(A)
| ~ v6_vectsp_1(A)
| ~ v7_group_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(pre_NNF_transformation,[status(thm)],[f10006]) ).
fof(f40016,plain,
! [X0,X1,X2,X3] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3))
| ~ r1_tarski(X2,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| v10_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_group_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[status(thm)],[f40015]) ).
fof(f40021,plain,
? [A] :
( ? [B] :
( ? [C] :
( ? [D] :
( ~ m1_rmod_2(k1_rmod_5(A,B,k5_subset_1(u1_struct_0(B),C,D)),A,k2_rmod_3(A,B,k1_rmod_5(A,B,C),k1_rmod_5(A,B,D)))
& m1_subset_1(D,k1_zfmisc_1(u1_struct_0(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)
& v2_vectsp_2(A)
& ~ v10_vectsp_1(A)
& v8_vectsp_1(A)
& v7_vectsp_1(A)
& v6_vectsp_1(A)
& v7_group_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(pre_NNF_transformation,[status(thm)],[f10010]) ).
fof(f40022,plain,
( ~ m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,k5_subset_1(u1_struct_0(sK2735_skl),sK2736_skl,sK2737_skl)),sK2734_skl,k2_rmod_3(sK2734_skl,sK2735_skl,k1_rmod_5(sK2734_skl,sK2735_skl,sK2736_skl),k1_rmod_5(sK2734_skl,sK2735_skl,sK2737_skl)))
& m1_subset_1(sK2737_skl,k1_zfmisc_1(u1_struct_0(sK2735_skl)))
& m1_subset_1(sK2736_skl,k1_zfmisc_1(u1_struct_0(sK2735_skl)))
& l1_vectsp_2(sK2735_skl,sK2734_skl)
& v5_vectsp_2(sK2735_skl,sK2734_skl)
& v6_rlvect_1(sK2735_skl)
& v5_rlvect_1(sK2735_skl)
& v4_rlvect_1(sK2735_skl)
& v3_rlvect_1(sK2735_skl)
& ~ v3_struct_0(sK2735_skl)
& l3_vectsp_1(sK2734_skl)
& v2_vectsp_2(sK2734_skl)
& ~ v10_vectsp_1(sK2734_skl)
& v8_vectsp_1(sK2734_skl)
& v7_vectsp_1(sK2734_skl)
& v6_vectsp_1(sK2734_skl)
& v7_group_1(sK2734_skl)
& v4_group_1(sK2734_skl)
& v6_rlvect_1(sK2734_skl)
& v5_rlvect_1(sK2734_skl)
& v4_rlvect_1(sK2734_skl)
& v3_rlvect_1(sK2734_skl)
& ~ v3_struct_0(sK2734_skl) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2734_skl,sK2735_skl,sK2736_skl,sK2737_skl]),skolemize(A,sK2734_skl),skolemize(B,sK2735_skl),skolemize(C,sK2736_skl),skolemize(D,sK2737_skl)],[f40021]) ).
fof(f40023,plain,
~ v3_struct_0(sK2734_skl),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40024,plain,
v3_rlvect_1(sK2734_skl),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40025,plain,
v4_rlvect_1(sK2734_skl),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40026,plain,
v5_rlvect_1(sK2734_skl),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40027,plain,
v6_rlvect_1(sK2734_skl),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40028,plain,
v4_group_1(sK2734_skl),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40029,plain,
v7_group_1(sK2734_skl),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40030,plain,
v6_vectsp_1(sK2734_skl),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40031,plain,
v7_vectsp_1(sK2734_skl),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40032,plain,
v8_vectsp_1(sK2734_skl),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40033,plain,
~ v10_vectsp_1(sK2734_skl),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40034,plain,
v2_vectsp_2(sK2734_skl),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40035,plain,
l3_vectsp_1(sK2734_skl),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40036,plain,
~ v3_struct_0(sK2735_skl),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40037,plain,
v3_rlvect_1(sK2735_skl),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40038,plain,
v4_rlvect_1(sK2735_skl),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40039,plain,
v5_rlvect_1(sK2735_skl),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40040,plain,
v6_rlvect_1(sK2735_skl),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40041,plain,
v5_vectsp_2(sK2735_skl,sK2734_skl),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40042,plain,
l1_vectsp_2(sK2735_skl,sK2734_skl),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40043,plain,
m1_subset_1(sK2736_skl,k1_zfmisc_1(u1_struct_0(sK2735_skl))),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40044,plain,
m1_subset_1(sK2737_skl,k1_zfmisc_1(u1_struct_0(sK2735_skl))),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f40045,plain,
~ m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,k5_subset_1(u1_struct_0(sK2735_skl),sK2736_skl,sK2737_skl)),sK2734_skl,k2_rmod_3(sK2734_skl,sK2735_skl,k1_rmod_5(sK2734_skl,sK2735_skl,sK2736_skl),k1_rmod_5(sK2734_skl,sK2735_skl,sK2737_skl))),
inference(cnf_transformation,[status(thm)],[f40022]) ).
fof(f48843,plain,
! [X0] :
( k5_subset_1(u1_struct_0(sK2735_skl),X0,sK2736_skl) = k5_subset_1(u1_struct_0(sK2735_skl),sK2736_skl,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2735_skl))) ),
inference(resolution,[status(thm)],[f40043,f11234]) ).
fof(f48844,plain,
! [X0] :
( k5_subset_1(u1_struct_0(sK2735_skl),X0,sK2736_skl) = k3_xboole_0(X0,sK2736_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2735_skl))) ),
inference(resolution,[status(thm)],[f11239,f40043]) ).
fof(f48856,plain,
! [X0] :
( k5_subset_1(u1_struct_0(sK2735_skl),X0,sK2737_skl) = k3_xboole_0(X0,sK2737_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2735_skl))) ),
inference(resolution,[status(thm)],[f40044,f11239]) ).
fof(f48864,definition,
( sQ1047_spl
<=> m1_subset_1(sK2737_skl,k1_zfmisc_1(u1_struct_0(sK2735_skl))) ),
introduced(definition,[new_symbols(definition,[sQ1047_spl])],[split_symbol_definition]) ).
fof(f48866,plain,
( sQ1047_spl
| ~ m1_subset_1(sK2737_skl,k1_zfmisc_1(u1_struct_0(sK2735_skl))) ),
inference(component_clause,[status(thm)],[f48864]) ).
fof(f48872,plain,
( sQ1047_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f48866,f40044]) ).
fof(f48873,plain,
sQ1047_spl,
inference(contradiction_clause,[status(thm)],[f48872]) ).
fof(f48876,definition,
( sQ1049_spl
<=> m1_subset_1(sK2736_skl,k1_zfmisc_1(u1_struct_0(sK2735_skl))) ),
introduced(definition,[new_symbols(definition,[sQ1049_spl])],[split_symbol_definition]) ).
fof(f48878,plain,
( sQ1049_spl
| ~ m1_subset_1(sK2736_skl,k1_zfmisc_1(u1_struct_0(sK2735_skl))) ),
inference(component_clause,[status(thm)],[f48876]) ).
fof(f48884,plain,
( sQ1049_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f48878,f40043]) ).
fof(f48885,plain,
sQ1049_spl,
inference(contradiction_clause,[status(thm)],[f48884]) ).
fof(f48888,plain,
k5_subset_1(u1_struct_0(sK2735_skl),sK2737_skl,sK2736_skl) = k5_subset_1(u1_struct_0(sK2735_skl),sK2736_skl,sK2737_skl),
inference(resolution,[status(thm)],[f48843,f40044]) ).
fof(f48891,plain,
( m1_subset_1(k5_subset_1(u1_struct_0(sK2735_skl),sK2736_skl,sK2737_skl),k1_zfmisc_1(u1_struct_0(sK2735_skl)))
| ~ m1_subset_1(sK2736_skl,k1_zfmisc_1(u1_struct_0(sK2735_skl)))
| ~ m1_subset_1(sK2737_skl,k1_zfmisc_1(u1_struct_0(sK2735_skl))) ),
inference(paramodulation,[status(thm)],[f48888,f11232]) ).
fof(f48893,definition,
( sQ1051_spl
<=> m1_subset_1(k5_subset_1(u1_struct_0(sK2735_skl),sK2736_skl,sK2737_skl),k1_zfmisc_1(u1_struct_0(sK2735_skl))) ),
introduced(definition,[new_symbols(definition,[sQ1051_spl])],[split_symbol_definition]) ).
fof(f48894,plain,
( ~ sQ1051_spl
| m1_subset_1(k5_subset_1(u1_struct_0(sK2735_skl),sK2736_skl,sK2737_skl),k1_zfmisc_1(u1_struct_0(sK2735_skl))) ),
inference(component_clause,[status(thm)],[f48893]) ).
fof(f48896,plain,
( sQ1051_spl
| ~ sQ1049_spl
| ~ sQ1047_spl ),
inference(split_clause,[status(thm)],[f48891,f48864,f48876,f48893]) ).
fof(f48916,plain,
k5_subset_1(u1_struct_0(sK2735_skl),sK2737_skl,sK2736_skl) = k3_xboole_0(sK2737_skl,sK2736_skl),
inference(resolution,[status(thm)],[f48844,f40044]) ).
fof(f48920,plain,
k5_subset_1(u1_struct_0(sK2735_skl),sK2736_skl,sK2737_skl) = k3_xboole_0(sK2737_skl,sK2736_skl),
inference(forward_demodulation,[status(thm)],[f48888,f48916]) ).
fof(f48923,plain,
k5_subset_1(u1_struct_0(sK2735_skl),sK2736_skl,sK2737_skl) = k3_xboole_0(sK2736_skl,sK2737_skl),
inference(resolution,[status(thm)],[f48856,f40043]) ).
fof(f48928,plain,
( ~ sQ1051_spl
| m1_subset_1(k3_xboole_0(sK2737_skl,sK2736_skl),k1_zfmisc_1(u1_struct_0(sK2735_skl))) ),
inference(backward_demodulation,[status(thm)],[f48920,f48894]) ).
fof(f48929,plain,
k5_subset_1(u1_struct_0(sK2735_skl),sK2737_skl,sK2736_skl) = k3_xboole_0(sK2737_skl,sK2736_skl),
inference(backward_demodulation,[status(thm)],[f48920,f48888]) ).
fof(f48930,plain,
~ m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,k3_xboole_0(sK2737_skl,sK2736_skl)),sK2734_skl,k2_rmod_3(sK2734_skl,sK2735_skl,k1_rmod_5(sK2734_skl,sK2735_skl,sK2736_skl),k1_rmod_5(sK2734_skl,sK2735_skl,sK2737_skl))),
inference(backward_demodulation,[status(thm)],[f48920,f40045]) ).
fof(f48954,plain,
( ~ sQ1051_spl
| m1_subset_1(k3_xboole_0(sK2736_skl,sK2737_skl),k1_zfmisc_1(u1_struct_0(sK2735_skl))) ),
inference(backward_demodulation,[status(thm)],[f48956,f48928]) ).
fof(f48956,plain,
k3_xboole_0(sK2737_skl,sK2736_skl) = k3_xboole_0(sK2736_skl,sK2737_skl),
inference(forward_demodulation,[status(thm)],[f48920,f48923]) ).
fof(f48965,plain,
~ m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,k3_xboole_0(sK2736_skl,sK2737_skl)),sK2734_skl,k2_rmod_3(sK2734_skl,sK2735_skl,k1_rmod_5(sK2734_skl,sK2735_skl,sK2736_skl),k1_rmod_5(sK2734_skl,sK2735_skl,sK2737_skl))),
inference(forward_demodulation,[status(thm)],[f48956,f48930]) ).
fof(f48967,plain,
k5_subset_1(u1_struct_0(sK2735_skl),sK2737_skl,sK2736_skl) = k3_xboole_0(sK2736_skl,sK2737_skl),
inference(forward_demodulation,[status(thm)],[f48956,f48929]) ).
fof(f48968,plain,
( m1_subset_1(k3_xboole_0(sK2736_skl,sK2737_skl),k1_zfmisc_1(u1_struct_0(sK2735_skl)))
| ~ m1_subset_1(sK2736_skl,k1_zfmisc_1(u1_struct_0(sK2735_skl)))
| ~ m1_subset_1(sK2737_skl,k1_zfmisc_1(u1_struct_0(sK2735_skl))) ),
inference(paramodulation,[status(thm)],[f48967,f11232]) ).
fof(f48970,definition,
( sQ1055_spl
<=> m1_subset_1(k3_xboole_0(sK2736_skl,sK2737_skl),k1_zfmisc_1(u1_struct_0(sK2735_skl))) ),
introduced(definition,[new_symbols(definition,[sQ1055_spl])],[split_symbol_definition]) ).
fof(f48973,plain,
( sQ1055_spl
| ~ sQ1049_spl
| ~ sQ1047_spl ),
inference(split_clause,[status(thm)],[f48968,f48864,f48876,f48970]) ).
fof(f49195,definition,
( sQ1068_spl
<=> v3_struct_0(sK2734_skl) ),
introduced(definition,[new_symbols(definition,[sQ1068_spl])],[split_symbol_definition]) ).
fof(f49196,plain,
( ~ sQ1068_spl
| v3_struct_0(sK2734_skl) ),
inference(component_clause,[status(thm)],[f49195]) ).
fof(f49198,definition,
( sQ1069_spl
<=> v3_rlvect_1(sK2734_skl) ),
introduced(definition,[new_symbols(definition,[sQ1069_spl])],[split_symbol_definition]) ).
fof(f49200,plain,
( sQ1069_spl
| ~ v3_rlvect_1(sK2734_skl) ),
inference(component_clause,[status(thm)],[f49198]) ).
fof(f49201,definition,
( sQ1070_spl
<=> v4_rlvect_1(sK2734_skl) ),
introduced(definition,[new_symbols(definition,[sQ1070_spl])],[split_symbol_definition]) ).
fof(f49203,plain,
( sQ1070_spl
| ~ v4_rlvect_1(sK2734_skl) ),
inference(component_clause,[status(thm)],[f49201]) ).
fof(f49204,definition,
( sQ1071_spl
<=> v5_rlvect_1(sK2734_skl) ),
introduced(definition,[new_symbols(definition,[sQ1071_spl])],[split_symbol_definition]) ).
fof(f49206,plain,
( sQ1071_spl
| ~ v5_rlvect_1(sK2734_skl) ),
inference(component_clause,[status(thm)],[f49204]) ).
fof(f49207,definition,
( sQ1072_spl
<=> v6_rlvect_1(sK2734_skl) ),
introduced(definition,[new_symbols(definition,[sQ1072_spl])],[split_symbol_definition]) ).
fof(f49209,plain,
( sQ1072_spl
| ~ v6_rlvect_1(sK2734_skl) ),
inference(component_clause,[status(thm)],[f49207]) ).
fof(f49210,definition,
( sQ1073_spl
<=> v4_group_1(sK2734_skl) ),
introduced(definition,[new_symbols(definition,[sQ1073_spl])],[split_symbol_definition]) ).
fof(f49212,plain,
( sQ1073_spl
| ~ v4_group_1(sK2734_skl) ),
inference(component_clause,[status(thm)],[f49210]) ).
fof(f49213,definition,
( sQ1074_spl
<=> v7_vectsp_1(sK2734_skl) ),
introduced(definition,[new_symbols(definition,[sQ1074_spl])],[split_symbol_definition]) ).
fof(f49215,plain,
( sQ1074_spl
| ~ v7_vectsp_1(sK2734_skl) ),
inference(component_clause,[status(thm)],[f49213]) ).
fof(f49216,definition,
( sQ1075_spl
<=> v8_vectsp_1(sK2734_skl) ),
introduced(definition,[new_symbols(definition,[sQ1075_spl])],[split_symbol_definition]) ).
fof(f49218,plain,
( sQ1075_spl
| ~ v8_vectsp_1(sK2734_skl) ),
inference(component_clause,[status(thm)],[f49216]) ).
fof(f49219,definition,
( sQ1076_spl
<=> l3_vectsp_1(sK2734_skl) ),
introduced(definition,[new_symbols(definition,[sQ1076_spl])],[split_symbol_definition]) ).
fof(f49221,plain,
( sQ1076_spl
| ~ l3_vectsp_1(sK2734_skl) ),
inference(component_clause,[status(thm)],[f49219]) ).
fof(f49226,definition,
( sQ1078_spl
<=> v6_vectsp_1(sK2734_skl) ),
introduced(definition,[new_symbols(definition,[sQ1078_spl])],[split_symbol_definition]) ).
fof(f49228,plain,
( sQ1078_spl
| ~ v6_vectsp_1(sK2734_skl) ),
inference(component_clause,[status(thm)],[f49226]) ).
fof(f49232,plain,
( sQ1073_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f49212,f40028]) ).
fof(f49233,plain,
sQ1073_spl,
inference(contradiction_clause,[status(thm)],[f49232]) ).
fof(f49234,plain,
( sQ1072_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f49209,f40027]) ).
fof(f49235,plain,
sQ1072_spl,
inference(contradiction_clause,[status(thm)],[f49234]) ).
fof(f49236,plain,
( sQ1071_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f49206,f40026]) ).
fof(f49237,plain,
sQ1071_spl,
inference(contradiction_clause,[status(thm)],[f49236]) ).
fof(f49238,plain,
( sQ1070_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f49203,f40025]) ).
fof(f49239,plain,
sQ1070_spl,
inference(contradiction_clause,[status(thm)],[f49238]) ).
fof(f49240,plain,
( sQ1069_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f49200,f40024]) ).
fof(f49241,plain,
sQ1069_spl,
inference(contradiction_clause,[status(thm)],[f49240]) ).
fof(f49242,plain,
( ~ sQ1068_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f49196,f40023]) ).
fof(f49243,plain,
~ sQ1068_spl,
inference(contradiction_clause,[status(thm)],[f49242]) ).
fof(f49244,plain,
( sQ1075_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f49218,f40032]) ).
fof(f49245,plain,
sQ1075_spl,
inference(contradiction_clause,[status(thm)],[f49244]) ).
fof(f49246,plain,
( sQ1074_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f49215,f40031]) ).
fof(f49247,plain,
sQ1074_spl,
inference(contradiction_clause,[status(thm)],[f49246]) ).
fof(f49248,plain,
( sQ1078_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f49228,f40030]) ).
fof(f49249,plain,
sQ1078_spl,
inference(contradiction_clause,[status(thm)],[f49248]) ).
fof(f49250,plain,
( sQ1076_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f49221,f40035]) ).
fof(f49251,plain,
sQ1076_spl,
inference(contradiction_clause,[status(thm)],[f49250]) ).
fof(f49277,definition,
( sQ1079_spl
<=> v3_struct_0(sK2735_skl) ),
introduced(definition,[new_symbols(definition,[sQ1079_spl])],[split_symbol_definition]) ).
fof(f49278,plain,
( ~ sQ1079_spl
| v3_struct_0(sK2735_skl) ),
inference(component_clause,[status(thm)],[f49277]) ).
fof(f49280,definition,
( sQ1080_spl
<=> v3_rlvect_1(sK2735_skl) ),
introduced(definition,[new_symbols(definition,[sQ1080_spl])],[split_symbol_definition]) ).
fof(f49282,plain,
( sQ1080_spl
| ~ v3_rlvect_1(sK2735_skl) ),
inference(component_clause,[status(thm)],[f49280]) ).
fof(f49283,definition,
( sQ1081_spl
<=> v4_rlvect_1(sK2735_skl) ),
introduced(definition,[new_symbols(definition,[sQ1081_spl])],[split_symbol_definition]) ).
fof(f49285,plain,
( sQ1081_spl
| ~ v4_rlvect_1(sK2735_skl) ),
inference(component_clause,[status(thm)],[f49283]) ).
fof(f49286,definition,
( sQ1082_spl
<=> v5_rlvect_1(sK2735_skl) ),
introduced(definition,[new_symbols(definition,[sQ1082_spl])],[split_symbol_definition]) ).
fof(f49288,plain,
( sQ1082_spl
| ~ v5_rlvect_1(sK2735_skl) ),
inference(component_clause,[status(thm)],[f49286]) ).
fof(f49289,definition,
( sQ1083_spl
<=> v6_rlvect_1(sK2735_skl) ),
introduced(definition,[new_symbols(definition,[sQ1083_spl])],[split_symbol_definition]) ).
fof(f49291,plain,
( sQ1083_spl
| ~ v6_rlvect_1(sK2735_skl) ),
inference(component_clause,[status(thm)],[f49289]) ).
fof(f49292,definition,
( sQ1084_spl
<=> l1_vectsp_2(sK2735_skl,sK2734_skl) ),
introduced(definition,[new_symbols(definition,[sQ1084_spl])],[split_symbol_definition]) ).
fof(f49294,plain,
( sQ1084_spl
| ~ l1_vectsp_2(sK2735_skl,sK2734_skl) ),
inference(component_clause,[status(thm)],[f49292]) ).
fof(f49299,plain,
( sQ1084_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f49294,f40042]) ).
fof(f49300,plain,
sQ1084_spl,
inference(contradiction_clause,[status(thm)],[f49299]) ).
fof(f49301,plain,
( sQ1083_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f49291,f40040]) ).
fof(f49302,plain,
sQ1083_spl,
inference(contradiction_clause,[status(thm)],[f49301]) ).
fof(f49303,plain,
( sQ1082_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f49288,f40039]) ).
fof(f49304,plain,
sQ1082_spl,
inference(contradiction_clause,[status(thm)],[f49303]) ).
fof(f49305,plain,
( sQ1081_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f49285,f40038]) ).
fof(f49306,plain,
sQ1081_spl,
inference(contradiction_clause,[status(thm)],[f49305]) ).
fof(f49307,plain,
( sQ1080_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f49282,f40037]) ).
fof(f49308,plain,
sQ1080_spl,
inference(contradiction_clause,[status(thm)],[f49307]) ).
fof(f49309,plain,
( ~ sQ1079_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f49278,f40036]) ).
fof(f49310,plain,
~ sQ1079_spl,
inference(contradiction_clause,[status(thm)],[f49309]) ).
fof(f49316,definition,
( sQ1087_spl
<=> v5_vectsp_2(sK2735_skl,sK2734_skl) ),
introduced(definition,[new_symbols(definition,[sQ1087_spl])],[split_symbol_definition]) ).
fof(f49318,plain,
( sQ1087_spl
| ~ v5_vectsp_2(sK2735_skl,sK2734_skl) ),
inference(component_clause,[status(thm)],[f49316]) ).
fof(f49324,plain,
( sQ1087_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f49318,f40041]) ).
fof(f49325,plain,
sQ1087_spl,
inference(contradiction_clause,[status(thm)],[f49324]) ).
fof(f50020,plain,
! [X0,X1,X2,X3] :
( m1_rmod_2(X1,sK2734_skl,k2_rmod_3(sK2734_skl,X0,X2,X3))
| ~ m1_rmod_2(X1,sK2734_skl,X3)
| ~ m1_rmod_2(X1,sK2734_skl,X2)
| ~ m1_rmod_2(X3,sK2734_skl,X0)
| ~ m1_rmod_2(X2,sK2734_skl,X0)
| ~ m1_rmod_2(X1,sK2734_skl,X0)
| ~ l1_vectsp_2(X0,sK2734_skl)
| ~ v5_vectsp_2(X0,sK2734_skl)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(sK2734_skl)
| ~ v8_vectsp_1(sK2734_skl)
| ~ v7_vectsp_1(sK2734_skl)
| ~ v4_group_1(sK2734_skl)
| ~ v6_rlvect_1(sK2734_skl)
| ~ v5_rlvect_1(sK2734_skl)
| ~ v4_rlvect_1(sK2734_skl)
| ~ v3_rlvect_1(sK2734_skl)
| v3_struct_0(sK2734_skl) ),
inference(resolution,[status(thm)],[f39530,f40030]) ).
fof(f50024,definition,
! [X0,X1,X2,X3] :
( sQ1131_spl
<=> ( m1_rmod_2(X1,sK2734_skl,k2_rmod_3(sK2734_skl,X0,X2,X3))
| ~ m1_rmod_2(X1,sK2734_skl,X3)
| ~ m1_rmod_2(X1,sK2734_skl,X2)
| ~ m1_rmod_2(X3,sK2734_skl,X0)
| ~ m1_rmod_2(X2,sK2734_skl,X0)
| ~ m1_rmod_2(X1,sK2734_skl,X0)
| ~ l1_vectsp_2(X0,sK2734_skl)
| ~ v5_vectsp_2(X0,sK2734_skl)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1131_spl])],[split_symbol_definition]) ).
fof(f50025,plain,
! [X0,X1,X2,X3] :
( ~ sQ1131_spl
| m1_rmod_2(X1,sK2734_skl,k2_rmod_3(sK2734_skl,X0,X2,X3))
| ~ m1_rmod_2(X1,sK2734_skl,X3)
| ~ m1_rmod_2(X1,sK2734_skl,X2)
| ~ m1_rmod_2(X3,sK2734_skl,X0)
| ~ m1_rmod_2(X2,sK2734_skl,X0)
| ~ m1_rmod_2(X1,sK2734_skl,X0)
| ~ l1_vectsp_2(X0,sK2734_skl)
| ~ v5_vectsp_2(X0,sK2734_skl)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(component_clause,[status(thm)],[f50024]) ).
fof(f50027,plain,
( sQ1131_spl
| ~ sQ1076_spl
| ~ sQ1075_spl
| ~ sQ1074_spl
| ~ sQ1073_spl
| ~ sQ1072_spl
| ~ sQ1071_spl
| ~ sQ1070_spl
| ~ sQ1069_spl
| sQ1068_spl ),
inference(split_clause,[status(thm)],[f50020,f49195,f49198,f49201,f49204,f49207,f49210,f49213,f49216,f49219,f50024]) ).
fof(f50292,plain,
( ~ sQ1131_spl
| ~ m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,k3_xboole_0(sK2736_skl,sK2737_skl)),sK2734_skl,k1_rmod_5(sK2734_skl,sK2735_skl,sK2737_skl))
| ~ m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,k3_xboole_0(sK2736_skl,sK2737_skl)),sK2734_skl,k1_rmod_5(sK2734_skl,sK2735_skl,sK2736_skl))
| ~ m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,sK2737_skl),sK2734_skl,sK2735_skl)
| ~ m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,sK2736_skl),sK2734_skl,sK2735_skl)
| ~ m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,k3_xboole_0(sK2736_skl,sK2737_skl)),sK2734_skl,sK2735_skl)
| ~ l1_vectsp_2(sK2735_skl,sK2734_skl)
| ~ v5_vectsp_2(sK2735_skl,sK2734_skl)
| ~ v6_rlvect_1(sK2735_skl)
| ~ v5_rlvect_1(sK2735_skl)
| ~ v4_rlvect_1(sK2735_skl)
| ~ v3_rlvect_1(sK2735_skl)
| v3_struct_0(sK2735_skl) ),
inference(resolution,[status(thm)],[f50025,f48965]) ).
fof(f50293,definition,
( sQ1158_spl
<=> m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,k3_xboole_0(sK2736_skl,sK2737_skl)),sK2734_skl,sK2735_skl) ),
introduced(definition,[new_symbols(definition,[sQ1158_spl])],[split_symbol_definition]) ).
fof(f50295,plain,
( sQ1158_spl
| ~ m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,k3_xboole_0(sK2736_skl,sK2737_skl)),sK2734_skl,sK2735_skl) ),
inference(component_clause,[status(thm)],[f50293]) ).
fof(f50296,definition,
( sQ1159_spl
<=> m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,sK2736_skl),sK2734_skl,sK2735_skl) ),
introduced(definition,[new_symbols(definition,[sQ1159_spl])],[split_symbol_definition]) ).
fof(f50298,plain,
( sQ1159_spl
| ~ m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,sK2736_skl),sK2734_skl,sK2735_skl) ),
inference(component_clause,[status(thm)],[f50296]) ).
fof(f50299,definition,
( sQ1160_spl
<=> m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,sK2737_skl),sK2734_skl,sK2735_skl) ),
introduced(definition,[new_symbols(definition,[sQ1160_spl])],[split_symbol_definition]) ).
fof(f50301,plain,
( sQ1160_spl
| ~ m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,sK2737_skl),sK2734_skl,sK2735_skl) ),
inference(component_clause,[status(thm)],[f50299]) ).
fof(f50302,definition,
( sQ1161_spl
<=> m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,k3_xboole_0(sK2736_skl,sK2737_skl)),sK2734_skl,k1_rmod_5(sK2734_skl,sK2735_skl,sK2736_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1161_spl])],[split_symbol_definition]) ).
fof(f50304,plain,
( sQ1161_spl
| ~ m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,k3_xboole_0(sK2736_skl,sK2737_skl)),sK2734_skl,k1_rmod_5(sK2734_skl,sK2735_skl,sK2736_skl)) ),
inference(component_clause,[status(thm)],[f50302]) ).
fof(f50305,definition,
( sQ1162_spl
<=> m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,k3_xboole_0(sK2736_skl,sK2737_skl)),sK2734_skl,k1_rmod_5(sK2734_skl,sK2735_skl,sK2737_skl)) ),
introduced(definition,[new_symbols(definition,[sQ1162_spl])],[split_symbol_definition]) ).
fof(f50307,plain,
( sQ1162_spl
| ~ m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,k3_xboole_0(sK2736_skl,sK2737_skl)),sK2734_skl,k1_rmod_5(sK2734_skl,sK2735_skl,sK2737_skl)) ),
inference(component_clause,[status(thm)],[f50305]) ).
fof(f50308,plain,
( ~ sQ1131_spl
| ~ sQ1162_spl
| ~ sQ1161_spl
| ~ sQ1160_spl
| ~ sQ1159_spl
| ~ sQ1158_spl
| ~ sQ1084_spl
| ~ sQ1087_spl
| ~ sQ1083_spl
| ~ sQ1082_spl
| ~ sQ1081_spl
| ~ sQ1080_spl
| sQ1079_spl ),
inference(split_clause,[status(thm)],[f50292,f49277,f49280,f49283,f49286,f49289,f49316,f49292,f50293,f50296,f50299,f50302,f50305,f50024]) ).
fof(f50567,definition,
( sQ1180_spl
<=> v7_group_1(sK2734_skl) ),
introduced(definition,[new_symbols(definition,[sQ1180_spl])],[split_symbol_definition]) ).
fof(f50569,plain,
( sQ1180_spl
| ~ v7_group_1(sK2734_skl) ),
inference(component_clause,[status(thm)],[f50567]) ).
fof(f50570,definition,
( sQ1181_spl
<=> v10_vectsp_1(sK2734_skl) ),
introduced(definition,[new_symbols(definition,[sQ1181_spl])],[split_symbol_definition]) ).
fof(f50571,plain,
( ~ sQ1181_spl
| v10_vectsp_1(sK2734_skl) ),
inference(component_clause,[status(thm)],[f50570]) ).
fof(f50573,definition,
( sQ1182_spl
<=> v2_vectsp_2(sK2734_skl) ),
introduced(definition,[new_symbols(definition,[sQ1182_spl])],[split_symbol_definition]) ).
fof(f50575,plain,
( sQ1182_spl
| ~ v2_vectsp_2(sK2734_skl) ),
inference(component_clause,[status(thm)],[f50573]) ).
fof(f50584,plain,
( sQ1182_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f50575,f40034]) ).
fof(f50585,plain,
sQ1182_spl,
inference(contradiction_clause,[status(thm)],[f50584]) ).
fof(f50586,plain,
( sQ1180_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f50569,f40029]) ).
fof(f50587,plain,
sQ1180_spl,
inference(contradiction_clause,[status(thm)],[f50586]) ).
fof(f50588,plain,
( ~ sQ1181_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f50571,f40033]) ).
fof(f50589,plain,
~ sQ1181_spl,
inference(contradiction_clause,[status(thm)],[f50588]) ).
fof(f50637,plain,
! [X0,X1] :
( m1_rmod_2(k1_rmod_5(sK2734_skl,X0,X1),sK2734_skl,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_vectsp_2(X0,sK2734_skl)
| ~ v5_vectsp_2(X0,sK2734_skl)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(sK2734_skl)
| ~ v2_vectsp_2(sK2734_skl)
| v10_vectsp_1(sK2734_skl)
| ~ v8_vectsp_1(sK2734_skl)
| ~ v7_vectsp_1(sK2734_skl)
| ~ v7_group_1(sK2734_skl)
| ~ v4_group_1(sK2734_skl)
| ~ v6_rlvect_1(sK2734_skl)
| ~ v5_rlvect_1(sK2734_skl)
| ~ v4_rlvect_1(sK2734_skl)
| ~ v3_rlvect_1(sK2734_skl)
| v3_struct_0(sK2734_skl) ),
inference(resolution,[status(thm)],[f39973,f40030]) ).
fof(f50642,definition,
! [X0,X1] :
( sQ1189_spl
<=> ( m1_rmod_2(k1_rmod_5(sK2734_skl,X0,X1),sK2734_skl,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_vectsp_2(X0,sK2734_skl)
| ~ v5_vectsp_2(X0,sK2734_skl)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1189_spl])],[split_symbol_definition]) ).
fof(f50643,plain,
! [X0,X1] :
( ~ sQ1189_spl
| m1_rmod_2(k1_rmod_5(sK2734_skl,X0,X1),sK2734_skl,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_vectsp_2(X0,sK2734_skl)
| ~ v5_vectsp_2(X0,sK2734_skl)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| v3_struct_0(X0) ),
inference(component_clause,[status(thm)],[f50642]) ).
fof(f50645,plain,
( sQ1189_spl
| ~ sQ1076_spl
| ~ sQ1182_spl
| sQ1181_spl
| ~ sQ1075_spl
| ~ sQ1074_spl
| ~ sQ1180_spl
| ~ sQ1073_spl
| ~ sQ1072_spl
| ~ sQ1071_spl
| ~ sQ1070_spl
| ~ sQ1069_spl
| sQ1068_spl ),
inference(split_clause,[status(thm)],[f50637,f49195,f49198,f49201,f49204,f49207,f49210,f50567,f49213,f49216,f50570,f50573,f49219,f50642]) ).
fof(f50744,plain,
! [X0] :
( ~ sQ1189_spl
| m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,X0),sK2734_skl,sK2735_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2735_skl)))
| ~ l1_vectsp_2(sK2735_skl,sK2734_skl)
| ~ v6_rlvect_1(sK2735_skl)
| ~ v5_rlvect_1(sK2735_skl)
| ~ v4_rlvect_1(sK2735_skl)
| ~ v3_rlvect_1(sK2735_skl)
| v3_struct_0(sK2735_skl) ),
inference(resolution,[status(thm)],[f50643,f40041]) ).
fof(f50749,definition,
! [X0] :
( sQ1195_spl
<=> ( m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,X0),sK2734_skl,sK2735_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2735_skl))) ) ),
introduced(definition,[new_symbols(definition,[sQ1195_spl])],[split_symbol_definition]) ).
fof(f50750,plain,
! [X0] :
( ~ sQ1195_spl
| m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,X0),sK2734_skl,sK2735_skl)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2735_skl))) ),
inference(component_clause,[status(thm)],[f50749]) ).
fof(f50752,plain,
( ~ sQ1189_spl
| sQ1195_spl
| ~ sQ1084_spl
| ~ sQ1083_spl
| ~ sQ1082_spl
| ~ sQ1081_spl
| ~ sQ1080_spl
| sQ1079_spl ),
inference(split_clause,[status(thm)],[f50744,f49277,f49280,f49283,f49286,f49289,f49292,f50749,f50642]) ).
fof(f57428,plain,
( sQ1162_spl
| ~ r1_tarski(k3_xboole_0(sK2736_skl,sK2737_skl),sK2737_skl)
| ~ m1_subset_1(sK2737_skl,k1_zfmisc_1(u1_struct_0(sK2735_skl)))
| ~ m1_subset_1(k3_xboole_0(sK2736_skl,sK2737_skl),k1_zfmisc_1(u1_struct_0(sK2735_skl)))
| ~ l1_vectsp_2(sK2735_skl,sK2734_skl)
| ~ v5_vectsp_2(sK2735_skl,sK2734_skl)
| ~ v6_rlvect_1(sK2735_skl)
| ~ v5_rlvect_1(sK2735_skl)
| ~ v4_rlvect_1(sK2735_skl)
| ~ v3_rlvect_1(sK2735_skl)
| v3_struct_0(sK2735_skl)
| ~ l3_vectsp_1(sK2734_skl)
| ~ v2_vectsp_2(sK2734_skl)
| v10_vectsp_1(sK2734_skl)
| ~ v8_vectsp_1(sK2734_skl)
| ~ v7_vectsp_1(sK2734_skl)
| ~ v6_vectsp_1(sK2734_skl)
| ~ v7_group_1(sK2734_skl)
| ~ v4_group_1(sK2734_skl)
| ~ v6_rlvect_1(sK2734_skl)
| ~ v5_rlvect_1(sK2734_skl)
| ~ v4_rlvect_1(sK2734_skl)
| ~ v3_rlvect_1(sK2734_skl)
| v3_struct_0(sK2734_skl) ),
inference(resolution,[status(thm)],[f50307,f40016]) ).
fof(f57429,definition,
( sQ1258_spl
<=> r1_tarski(k3_xboole_0(sK2736_skl,sK2737_skl),sK2737_skl) ),
introduced(definition,[new_symbols(definition,[sQ1258_spl])],[split_symbol_definition]) ).
fof(f57431,plain,
( sQ1258_spl
| ~ r1_tarski(k3_xboole_0(sK2736_skl,sK2737_skl),sK2737_skl) ),
inference(component_clause,[status(thm)],[f57429]) ).
fof(f57432,plain,
( sQ1162_spl
| ~ sQ1258_spl
| ~ sQ1047_spl
| ~ sQ1055_spl
| ~ sQ1084_spl
| ~ sQ1087_spl
| ~ sQ1083_spl
| ~ sQ1082_spl
| ~ sQ1081_spl
| ~ sQ1080_spl
| sQ1079_spl
| ~ sQ1076_spl
| ~ sQ1182_spl
| sQ1181_spl
| ~ sQ1075_spl
| ~ sQ1074_spl
| ~ sQ1078_spl
| ~ sQ1180_spl
| ~ sQ1073_spl
| ~ sQ1072_spl
| ~ sQ1071_spl
| ~ sQ1070_spl
| ~ sQ1069_spl
| sQ1068_spl ),
inference(split_clause,[status(thm)],[f57428,f49195,f49198,f49201,f49204,f49207,f49210,f50567,f49226,f49213,f49216,f50570,f50573,f49219,f49277,f49280,f49283,f49286,f49289,f49316,f49292,f48970,f48864,f57429,f50305]) ).
fof(f57632,plain,
( sQ1161_spl
| ~ r1_tarski(k3_xboole_0(sK2736_skl,sK2737_skl),sK2736_skl)
| ~ m1_subset_1(sK2736_skl,k1_zfmisc_1(u1_struct_0(sK2735_skl)))
| ~ m1_subset_1(k3_xboole_0(sK2736_skl,sK2737_skl),k1_zfmisc_1(u1_struct_0(sK2735_skl)))
| ~ l1_vectsp_2(sK2735_skl,sK2734_skl)
| ~ v5_vectsp_2(sK2735_skl,sK2734_skl)
| ~ v6_rlvect_1(sK2735_skl)
| ~ v5_rlvect_1(sK2735_skl)
| ~ v4_rlvect_1(sK2735_skl)
| ~ v3_rlvect_1(sK2735_skl)
| v3_struct_0(sK2735_skl)
| ~ l3_vectsp_1(sK2734_skl)
| ~ v2_vectsp_2(sK2734_skl)
| v10_vectsp_1(sK2734_skl)
| ~ v8_vectsp_1(sK2734_skl)
| ~ v7_vectsp_1(sK2734_skl)
| ~ v6_vectsp_1(sK2734_skl)
| ~ v7_group_1(sK2734_skl)
| ~ v4_group_1(sK2734_skl)
| ~ v6_rlvect_1(sK2734_skl)
| ~ v5_rlvect_1(sK2734_skl)
| ~ v4_rlvect_1(sK2734_skl)
| ~ v3_rlvect_1(sK2734_skl)
| v3_struct_0(sK2734_skl) ),
inference(resolution,[status(thm)],[f50304,f40016]) ).
fof(f57633,definition,
( sQ1259_spl
<=> r1_tarski(k3_xboole_0(sK2736_skl,sK2737_skl),sK2736_skl) ),
introduced(definition,[new_symbols(definition,[sQ1259_spl])],[split_symbol_definition]) ).
fof(f57635,plain,
( sQ1259_spl
| ~ r1_tarski(k3_xboole_0(sK2736_skl,sK2737_skl),sK2736_skl) ),
inference(component_clause,[status(thm)],[f57633]) ).
fof(f57636,plain,
( sQ1161_spl
| ~ sQ1259_spl
| ~ sQ1049_spl
| ~ sQ1055_spl
| ~ sQ1084_spl
| ~ sQ1087_spl
| ~ sQ1083_spl
| ~ sQ1082_spl
| ~ sQ1081_spl
| ~ sQ1080_spl
| sQ1079_spl
| ~ sQ1076_spl
| ~ sQ1182_spl
| sQ1181_spl
| ~ sQ1075_spl
| ~ sQ1074_spl
| ~ sQ1078_spl
| ~ sQ1180_spl
| ~ sQ1073_spl
| ~ sQ1072_spl
| ~ sQ1071_spl
| ~ sQ1070_spl
| ~ sQ1069_spl
| sQ1068_spl ),
inference(split_clause,[status(thm)],[f57632,f49195,f49198,f49201,f49204,f49207,f49210,f50567,f49226,f49213,f49216,f50570,f50573,f49219,f49277,f49280,f49283,f49286,f49289,f49316,f49292,f48970,f48876,f57633,f50302]) ).
fof(f57637,plain,
( sQ1259_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f57635,f10270]) ).
fof(f57638,plain,
sQ1259_spl,
inference(contradiction_clause,[status(thm)],[f57637]) ).
fof(f63031,plain,
( ~ sQ1051_spl
| ~ sQ1195_spl
| m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,k3_xboole_0(sK2736_skl,sK2737_skl)),sK2734_skl,sK2735_skl) ),
inference(resolution,[status(thm)],[f50750,f48954]) ).
fof(f63032,plain,
( ~ sQ1195_spl
| m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,sK2737_skl),sK2734_skl,sK2735_skl) ),
inference(resolution,[status(thm)],[f50750,f40044]) ).
fof(f63033,plain,
( ~ sQ1195_spl
| m1_rmod_2(k1_rmod_5(sK2734_skl,sK2735_skl,sK2736_skl),sK2734_skl,sK2735_skl) ),
inference(resolution,[status(thm)],[f50750,f40043]) ).
fof(f63035,plain,
( ~ sQ1051_spl
| ~ sQ1195_spl
| sQ1158_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f63031,f50295]) ).
fof(f63036,plain,
( ~ sQ1051_spl
| ~ sQ1195_spl
| sQ1158_spl ),
inference(contradiction_clause,[status(thm)],[f63035]) ).
fof(f63037,plain,
( ~ sQ1195_spl
| sQ1160_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f63032,f50301]) ).
fof(f63038,plain,
( ~ sQ1195_spl
| sQ1160_spl ),
inference(contradiction_clause,[status(thm)],[f63037]) ).
fof(f63039,plain,
( ~ sQ1195_spl
| sQ1159_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f63033,f50298]) ).
fof(f63040,plain,
( ~ sQ1195_spl
| sQ1159_spl ),
inference(contradiction_clause,[status(thm)],[f63039]) ).
fof(f63212,plain,
! [X0] :
( sQ1258_spl
| ~ r1_tarski(k3_xboole_0(sK2736_skl,sK2737_skl),k4_xboole_0(sK2737_skl,X0)) ),
inference(resolution,[status(thm)],[f57431,f10448]) ).
fof(f63548,plain,
! [X0] :
( sQ1258_spl
| ~ r1_tarski(k3_xboole_0(sK2736_skl,sK2737_skl),k3_xboole_0(sK2737_skl,X0)) ),
inference(paramodulation,[status(thm)],[f10328,f63212]) ).
fof(f64102,plain,
! [X0] :
( sQ1258_spl
| ~ r1_tarski(k3_xboole_0(sK2736_skl,sK2737_skl),k3_xboole_0(X0,sK2737_skl)) ),
inference(paramodulation,[status(thm)],[f10219,f63548]) ).
fof(f67469,plain,
( sQ1258_spl
| $false ),
inference(resolution,[status(thm)],[f64102,f10087]) ).
fof(f67476,plain,
sQ1258_spl,
inference(contradiction_clause,[status(thm)],[f67469]) ).
fof(f67477,plain,
$false,
inference(sat_refutation,[status(thm)],[f48873,f48885,f48896,f48973,f49233,f49235,f49237,f49239,f49241,f49243,f49245,f49247,f49249,f49251,f49300,f49302,f49304,f49306,f49308,f49310,f49325,f50027,f50308,f50585,f50587,f50589,f50645,f50752,f57432,f57636,f57638,f63036,f63038,f63040,f67476]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG222+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n018.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Mon Sep 21 13:07:12 UTC 2026
% 0.09/5.37 % CPUTime :
% 1.18/6.49 % Drodi V4.1.1
% 237.87/36.45 % Refutation found
% 237.87/36.45 % SZS status Theorem for theBenchmark: Theorem is valid
% 237.87/36.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.13/36.93 % Elapsed time: 31.527278 seconds
% 7.13/36.93 % CPU time: 239.113215 seconds
% 7.13/36.93 % Total memory used: 3.381 GB
% 7.13/36.93 % Net memory used: 3.304 GB
%------------------------------------------------------------------------------