TSTP Solution File: ALG215+1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ALG215+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n028.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 : Wed Aug 31 15:40:42 EDT 2022
% Result : Theorem 0.15s 0.51s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 11
% Syntax : Number of formulae : 88 ( 23 unt; 0 def)
% Number of atoms : 1014 ( 32 equ)
% Maximal formula atoms : 39 ( 11 avg)
% Number of connectives : 1592 ( 666 ~; 688 |; 209 &)
% ( 7 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 43 ( 12 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 1 prp; 0-4 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 139 ( 128 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f377,plain,
$false,
inference(subsumption_resolution,[],[f376,f165]) ).
fof(f165,plain,
v6_rlvect_1(sK3),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
( v3_rlvect_1(sK2)
& ~ v3_struct_0(sK2)
& l3_vectsp_1(sK2)
& v5_rlvect_1(sK2)
& v4_rlvect_1(sK2)
& v4_group_1(sK2)
& v6_vectsp_1(sK2)
& v8_vectsp_1(sK2)
& v7_vectsp_1(sK2)
& v6_rlvect_1(sK2)
& v4_rlvect_1(sK3)
& v6_rlvect_1(sK3)
& ~ v3_struct_0(sK3)
& l1_vectsp_2(sK3,sK2)
& v3_rlvect_1(sK3)
& v5_vectsp_2(sK3,sK2)
& v5_rlvect_1(sK3)
& ~ v1_rmod_5(k1_subset_1(u1_struct_0(sK3)),sK2,sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f105,f116,f115]) ).
fof(f115,plain,
( ? [X0] :
( v3_rlvect_1(X0)
& ~ v3_struct_0(X0)
& l3_vectsp_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_rlvect_1(X0)
& ? [X1] :
( v4_rlvect_1(X1)
& v6_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0)
& v3_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& v5_rlvect_1(X1)
& ~ v1_rmod_5(k1_subset_1(u1_struct_0(X1)),X0,X1) ) )
=> ( v3_rlvect_1(sK2)
& ~ v3_struct_0(sK2)
& l3_vectsp_1(sK2)
& v5_rlvect_1(sK2)
& v4_rlvect_1(sK2)
& v4_group_1(sK2)
& v6_vectsp_1(sK2)
& v8_vectsp_1(sK2)
& v7_vectsp_1(sK2)
& v6_rlvect_1(sK2)
& ? [X1] :
( v4_rlvect_1(X1)
& v6_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,sK2)
& v3_rlvect_1(X1)
& v5_vectsp_2(X1,sK2)
& v5_rlvect_1(X1)
& ~ v1_rmod_5(k1_subset_1(u1_struct_0(X1)),sK2,X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f116,plain,
( ? [X1] :
( v4_rlvect_1(X1)
& v6_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,sK2)
& v3_rlvect_1(X1)
& v5_vectsp_2(X1,sK2)
& v5_rlvect_1(X1)
& ~ v1_rmod_5(k1_subset_1(u1_struct_0(X1)),sK2,X1) )
=> ( v4_rlvect_1(sK3)
& v6_rlvect_1(sK3)
& ~ v3_struct_0(sK3)
& l1_vectsp_2(sK3,sK2)
& v3_rlvect_1(sK3)
& v5_vectsp_2(sK3,sK2)
& v5_rlvect_1(sK3)
& ~ v1_rmod_5(k1_subset_1(u1_struct_0(sK3)),sK2,sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f105,plain,
? [X0] :
( v3_rlvect_1(X0)
& ~ v3_struct_0(X0)
& l3_vectsp_1(X0)
& v5_rlvect_1(X0)
& v4_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v8_vectsp_1(X0)
& v7_vectsp_1(X0)
& v6_rlvect_1(X0)
& ? [X1] :
( v4_rlvect_1(X1)
& v6_rlvect_1(X1)
& ~ v3_struct_0(X1)
& l1_vectsp_2(X1,X0)
& v3_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& v5_rlvect_1(X1)
& ~ v1_rmod_5(k1_subset_1(u1_struct_0(X1)),X0,X1) ) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
? [X0] :
( ? [X1] :
( ~ v1_rmod_5(k1_subset_1(u1_struct_0(X1)),X0,X1)
& v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& l1_vectsp_2(X1,X0)
& ~ v3_struct_0(X1)
& v5_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1) )
& v4_group_1(X0)
& l3_vectsp_1(X0)
& v5_rlvect_1(X0)
& v6_vectsp_1(X0)
& v8_vectsp_1(X0)
& v6_rlvect_1(X0)
& ~ v3_struct_0(X0)
& v7_vectsp_1(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( v4_group_1(X0)
& l3_vectsp_1(X0)
& v5_rlvect_1(X0)
& v6_vectsp_1(X0)
& v8_vectsp_1(X0)
& v6_rlvect_1(X0)
& ~ v3_struct_0(X0)
& v7_vectsp_1(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0) )
=> ! [X1] :
( ( v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& l1_vectsp_2(X1,X0)
& ~ v3_struct_0(X1)
& v5_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1) )
=> v1_rmod_5(k1_subset_1(u1_struct_0(X1)),X0,X1) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( v4_group_1(X0)
& l3_vectsp_1(X0)
& v5_rlvect_1(X0)
& v6_vectsp_1(X0)
& v8_vectsp_1(X0)
& v6_rlvect_1(X0)
& ~ v3_struct_0(X0)
& v7_vectsp_1(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0) )
=> ! [X1] :
( ( v4_rlvect_1(X1)
& v3_rlvect_1(X1)
& l1_vectsp_2(X1,X0)
& ~ v3_struct_0(X1)
& v5_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& v6_rlvect_1(X1) )
=> v1_rmod_5(k1_subset_1(u1_struct_0(X1)),X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_rmod_5) ).
fof(f376,plain,
~ v6_rlvect_1(sK3),
inference(subsumption_resolution,[],[f375,f173]) ).
fof(f173,plain,
v5_rlvect_1(sK2),
inference(cnf_transformation,[],[f117]) ).
fof(f375,plain,
( ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK3) ),
inference(subsumption_resolution,[],[f374,f171]) ).
fof(f171,plain,
v4_group_1(sK2),
inference(cnf_transformation,[],[f117]) ).
fof(f374,plain,
( ~ v4_group_1(sK2)
| ~ v6_rlvect_1(sK3)
| ~ v5_rlvect_1(sK2) ),
inference(subsumption_resolution,[],[f373,f168]) ).
fof(f168,plain,
v7_vectsp_1(sK2),
inference(cnf_transformation,[],[f117]) ).
fof(f373,plain,
( ~ v7_vectsp_1(sK2)
| ~ v4_group_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK3) ),
inference(subsumption_resolution,[],[f372,f161]) ).
fof(f161,plain,
v5_vectsp_2(sK3,sK2),
inference(cnf_transformation,[],[f117]) ).
fof(f372,plain,
( ~ v5_vectsp_2(sK3,sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK3)
| ~ v4_group_1(sK2)
| ~ v7_vectsp_1(sK2) ),
inference(subsumption_resolution,[],[f371,f175]) ).
fof(f175,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f117]) ).
fof(f371,plain,
( v3_struct_0(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v5_vectsp_2(sK3,sK2)
| ~ v4_group_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v6_rlvect_1(sK3) ),
inference(subsumption_resolution,[],[f370,f162]) ).
fof(f162,plain,
v3_rlvect_1(sK3),
inference(cnf_transformation,[],[f117]) ).
fof(f370,plain,
( ~ v3_rlvect_1(sK3)
| ~ v5_rlvect_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v5_vectsp_2(sK3,sK2)
| ~ v6_rlvect_1(sK3)
| v3_struct_0(sK2)
| ~ v4_group_1(sK2) ),
inference(subsumption_resolution,[],[f369,f163]) ).
fof(f163,plain,
l1_vectsp_2(sK3,sK2),
inference(cnf_transformation,[],[f117]) ).
fof(f369,plain,
( ~ l1_vectsp_2(sK3,sK2)
| ~ v5_vectsp_2(sK3,sK2)
| ~ v4_group_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v3_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| v3_struct_0(sK2) ),
inference(subsumption_resolution,[],[f368,f172]) ).
fof(f172,plain,
v4_rlvect_1(sK2),
inference(cnf_transformation,[],[f117]) ).
fof(f368,plain,
( ~ v4_rlvect_1(sK2)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v7_vectsp_1(sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ v3_rlvect_1(sK3)
| ~ v4_group_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ v6_rlvect_1(sK3) ),
inference(subsumption_resolution,[],[f367,f169]) ).
fof(f169,plain,
v8_vectsp_1(sK2),
inference(cnf_transformation,[],[f117]) ).
fof(f367,plain,
( ~ v8_vectsp_1(sK2)
| ~ v3_rlvect_1(sK3)
| ~ v7_vectsp_1(sK2)
| v3_struct_0(sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ v6_rlvect_1(sK3)
| ~ v4_group_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v5_vectsp_2(sK3,sK2)
| ~ v5_rlvect_1(sK2) ),
inference(subsumption_resolution,[],[f366,f170]) ).
fof(f170,plain,
v6_vectsp_1(sK2),
inference(cnf_transformation,[],[f117]) ).
fof(f366,plain,
( ~ v6_vectsp_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v3_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v5_rlvect_1(sK2)
| ~ v5_vectsp_2(sK3,sK2)
| v3_struct_0(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v4_group_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ l1_vectsp_2(sK3,sK2) ),
inference(subsumption_resolution,[],[f365,f164]) ).
fof(f164,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f117]) ).
fof(f365,plain,
( v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK2)
| v3_struct_0(sK2)
| ~ v4_group_1(sK2)
| ~ v5_vectsp_2(sK3,sK2)
| ~ v6_rlvect_1(sK3)
| ~ v7_vectsp_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v5_rlvect_1(sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ v8_vectsp_1(sK2) ),
inference(subsumption_resolution,[],[f364,f166]) ).
fof(f166,plain,
v4_rlvect_1(sK3),
inference(cnf_transformation,[],[f117]) ).
fof(f364,plain,
( ~ v4_rlvect_1(sK3)
| ~ v4_rlvect_1(sK2)
| v3_struct_0(sK3)
| ~ v7_vectsp_1(sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ v6_rlvect_1(sK3)
| ~ v5_rlvect_1(sK2)
| ~ v3_rlvect_1(sK3)
| ~ v6_vectsp_1(sK2)
| ~ v8_vectsp_1(sK2)
| v3_struct_0(sK2)
| ~ v4_group_1(sK2)
| ~ v5_vectsp_2(sK3,sK2) ),
inference(subsumption_resolution,[],[f363,f176]) ).
fof(f176,plain,
v3_rlvect_1(sK2),
inference(cnf_transformation,[],[f117]) ).
fof(f363,plain,
( ~ v3_rlvect_1(sK2)
| v3_struct_0(sK3)
| ~ l1_vectsp_2(sK3,sK2)
| ~ v4_rlvect_1(sK2)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK2)
| ~ v6_vectsp_1(sK2)
| v3_struct_0(sK2)
| ~ v4_group_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ v5_vectsp_2(sK3,sK2)
| ~ v6_rlvect_1(sK3)
| ~ v7_vectsp_1(sK2)
| ~ v3_rlvect_1(sK3) ),
inference(subsumption_resolution,[],[f362,f167]) ).
fof(f167,plain,
v6_rlvect_1(sK2),
inference(cnf_transformation,[],[f117]) ).
fof(f362,plain,
( ~ v6_rlvect_1(sK2)
| ~ v6_vectsp_1(sK2)
| ~ v6_rlvect_1(sK3)
| ~ v5_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v4_rlvect_1(sK3)
| ~ l1_vectsp_2(sK3,sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v7_vectsp_1(sK2)
| v3_struct_0(sK2)
| ~ v5_vectsp_2(sK3,sK2)
| ~ v4_group_1(sK2)
| ~ v8_vectsp_1(sK2)
| ~ v3_rlvect_1(sK2) ),
inference(subsumption_resolution,[],[f361,f174]) ).
fof(f174,plain,
l3_vectsp_1(sK2),
inference(cnf_transformation,[],[f117]) ).
fof(f361,plain,
( ~ l3_vectsp_1(sK2)
| ~ v4_rlvect_1(sK2)
| ~ v3_rlvect_1(sK3)
| v3_struct_0(sK2)
| v3_struct_0(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v4_group_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v3_rlvect_1(sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ v5_rlvect_1(sK2)
| ~ v5_vectsp_2(sK3,sK2)
| ~ v8_vectsp_1(sK2)
| ~ v4_rlvect_1(sK3)
| ~ v6_vectsp_1(sK2) ),
inference(subsumption_resolution,[],[f359,f160]) ).
fof(f160,plain,
v5_rlvect_1(sK3),
inference(cnf_transformation,[],[f117]) ).
fof(f359,plain,
( ~ v5_rlvect_1(sK3)
| ~ v4_group_1(sK2)
| ~ v5_vectsp_2(sK3,sK2)
| ~ v8_vectsp_1(sK2)
| ~ v4_rlvect_1(sK3)
| ~ v6_vectsp_1(sK2)
| ~ v7_vectsp_1(sK2)
| ~ v5_rlvect_1(sK2)
| v3_struct_0(sK2)
| ~ l1_vectsp_2(sK3,sK2)
| ~ l3_vectsp_1(sK2)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v3_rlvect_1(sK2)
| ~ v6_rlvect_1(sK2)
| ~ v4_rlvect_1(sK2) ),
inference(resolution,[],[f357,f159]) ).
fof(f159,plain,
~ v1_rmod_5(k1_subset_1(u1_struct_0(sK3)),sK2,sK3),
inference(cnf_transformation,[],[f117]) ).
fof(f357,plain,
! [X4,X5] :
( v1_rmod_5(k1_subset_1(u1_struct_0(X4)),X5,X4)
| ~ v6_rlvect_1(X5)
| ~ v8_vectsp_1(X5)
| ~ v6_vectsp_1(X5)
| ~ v5_rlvect_1(X5)
| ~ v6_rlvect_1(X4)
| ~ l1_vectsp_2(X4,X5)
| ~ v4_group_1(X5)
| ~ l3_vectsp_1(X5)
| v3_struct_0(X5)
| ~ v4_rlvect_1(X4)
| v3_struct_0(X4)
| ~ v7_vectsp_1(X5)
| ~ v5_rlvect_1(X4)
| ~ v3_rlvect_1(X5)
| ~ v5_vectsp_2(X4,X5)
| ~ v4_rlvect_1(X5)
| ~ v3_rlvect_1(X4) ),
inference(subsumption_resolution,[],[f350,f195]) ).
fof(f195,plain,
! [X0] : v1_xboole_0(k1_subset_1(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( v1_xboole_0(k1_subset_1(X0))
& m1_subset_1(k1_subset_1(X0),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_subset_1) ).
fof(f350,plain,
! [X4,X5] :
( ~ v7_vectsp_1(X5)
| ~ l3_vectsp_1(X5)
| v3_struct_0(X4)
| ~ v4_group_1(X5)
| ~ v3_rlvect_1(X4)
| v3_struct_0(X5)
| ~ v5_rlvect_1(X4)
| ~ v8_vectsp_1(X5)
| ~ l1_vectsp_2(X4,X5)
| ~ v4_rlvect_1(X5)
| ~ v1_xboole_0(k1_subset_1(u1_struct_0(X4)))
| ~ v5_rlvect_1(X5)
| ~ v4_rlvect_1(X4)
| ~ v5_vectsp_2(X4,X5)
| v1_rmod_5(k1_subset_1(u1_struct_0(X4)),X5,X4)
| ~ v6_vectsp_1(X5)
| ~ v6_rlvect_1(X4)
| ~ v3_rlvect_1(X5)
| ~ v6_rlvect_1(X5) ),
inference(resolution,[],[f347,f219]) ).
fof(f219,plain,
! [X0] : r1_tarski(k1_subset_1(X0),X0),
inference(resolution,[],[f199,f194]) ).
fof(f194,plain,
! [X0] : m1_subset_1(k1_subset_1(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f199,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f347,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,u1_struct_0(X1))
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X2)
| v3_struct_0(X2)
| ~ v5_vectsp_2(X1,X2)
| v3_struct_0(X1)
| ~ v6_vectsp_1(X2)
| v1_rmod_5(X0,X2,X1)
| ~ v4_group_1(X2)
| ~ v7_vectsp_1(X2)
| ~ v8_vectsp_1(X2)
| ~ v1_xboole_0(X0)
| ~ v3_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ v4_rlvect_1(X1)
| ~ l3_vectsp_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v5_rlvect_1(X2)
| ~ v3_rlvect_1(X1) ),
inference(superposition,[],[f345,f153]) ).
fof(f153,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] :
( v1_xboole_0(X0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
fof(f345,plain,
! [X0,X1] :
( ~ r1_tarski(k1_xboole_0,u1_struct_0(X1))
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v8_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X1)
| ~ v4_rlvect_1(X0)
| ~ l1_vectsp_2(X1,X0)
| v1_rmod_5(k1_xboole_0,X0,X1)
| ~ v4_group_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v5_rlvect_1(X1)
| ~ v6_vectsp_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v7_vectsp_1(X0) ),
inference(resolution,[],[f344,f200]) ).
fof(f200,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f139]) ).
fof(f344,plain,
! [X0,X1] :
( ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v8_vectsp_1(X0)
| v3_struct_0(X0)
| ~ l3_vectsp_1(X0)
| ~ v4_rlvect_1(X1)
| ~ v7_vectsp_1(X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| v3_struct_0(X1)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| v1_rmod_5(k1_xboole_0,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X1)
| ~ v3_rlvect_1(X0) ),
inference(duplicate_literal_removal,[],[f342]) ).
fof(f342,plain,
! [X0,X1] :
( ~ v6_rlvect_1(X1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v5_vectsp_2(X1,X0)
| ~ v4_rlvect_1(X0)
| v1_rmod_5(k1_xboole_0,X0,X1)
| ~ v4_group_1(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v4_rlvect_1(X1)
| ~ l3_vectsp_1(X0)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| v3_struct_0(X0)
| v1_rmod_5(k1_xboole_0,X0,X1)
| v3_struct_0(X0)
| v3_struct_0(X1)
| ~ v5_rlvect_1(X1)
| ~ v3_rlvect_1(X0)
| ~ v6_rlvect_1(X1)
| ~ v3_rlvect_1(X0)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l3_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_group_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v5_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v3_rlvect_1(X1)
| ~ v5_rlvect_1(X0)
| v3_struct_0(X1) ),
inference(resolution,[],[f315,f154]) ).
fof(f154,plain,
! [X2,X0,X1] :
( m2_rmod_4(sK0(X0,X1,X2),X0,X1,X2)
| ~ v4_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v7_vectsp_1(X0)
| v1_rmod_5(X2,X0,X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v5_rlvect_1(X1)
| ~ v8_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v5_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v6_rlvect_1(X0)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v6_vectsp_1(X0)
| ~ v5_vectsp_2(X1,X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v7_vectsp_1(X0)
| ! [X1] :
( ~ v4_rlvect_1(X1)
| ! [X2] :
( ( ( ! [X3] :
( k5_rmod_4(X0,X1,X3) != k1_rlvect_1(X1)
| k2_rmod_4(X0,X1,X3) = k1_xboole_0
| ~ m2_rmod_4(X3,X0,X1,X2) )
| ~ v1_rmod_5(X2,X0,X1) )
& ( v1_rmod_5(X2,X0,X1)
| ( k1_rlvect_1(X1) = k5_rmod_4(X0,X1,sK0(X0,X1,X2))
& k1_xboole_0 != k2_rmod_4(X0,X1,sK0(X0,X1,X2))
& m2_rmod_4(sK0(X0,X1,X2),X0,X1,X2) ) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ v5_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v3_rlvect_1(X1) )
| ~ l3_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f110,f111]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ? [X4] :
( k1_rlvect_1(X1) = k5_rmod_4(X0,X1,X4)
& k1_xboole_0 != k2_rmod_4(X0,X1,X4)
& m2_rmod_4(X4,X0,X1,X2) )
=> ( k1_rlvect_1(X1) = k5_rmod_4(X0,X1,sK0(X0,X1,X2))
& k1_xboole_0 != k2_rmod_4(X0,X1,sK0(X0,X1,X2))
& m2_rmod_4(sK0(X0,X1,X2),X0,X1,X2) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v7_vectsp_1(X0)
| ! [X1] :
( ~ v4_rlvect_1(X1)
| ! [X2] :
( ( ( ! [X3] :
( k5_rmod_4(X0,X1,X3) != k1_rlvect_1(X1)
| k2_rmod_4(X0,X1,X3) = k1_xboole_0
| ~ m2_rmod_4(X3,X0,X1,X2) )
| ~ v1_rmod_5(X2,X0,X1) )
& ( v1_rmod_5(X2,X0,X1)
| ? [X4] :
( k1_rlvect_1(X1) = k5_rmod_4(X0,X1,X4)
& k1_xboole_0 != k2_rmod_4(X0,X1,X4)
& m2_rmod_4(X4,X0,X1,X2) ) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ v5_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v3_rlvect_1(X1) )
| ~ l3_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v7_vectsp_1(X0)
| ! [X1] :
( ~ v4_rlvect_1(X1)
| ! [X2] :
( ( ( ! [X3] :
( k5_rmod_4(X0,X1,X3) != k1_rlvect_1(X1)
| k2_rmod_4(X0,X1,X3) = k1_xboole_0
| ~ m2_rmod_4(X3,X0,X1,X2) )
| ~ v1_rmod_5(X2,X0,X1) )
& ( v1_rmod_5(X2,X0,X1)
| ? [X3] :
( k5_rmod_4(X0,X1,X3) = k1_rlvect_1(X1)
& k2_rmod_4(X0,X1,X3) != k1_xboole_0
& m2_rmod_4(X3,X0,X1,X2) ) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ v5_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v3_rlvect_1(X1) )
| ~ l3_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0) ),
inference(nnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ v7_vectsp_1(X0)
| ! [X1] :
( ~ v4_rlvect_1(X1)
| ! [X2] :
( ( ! [X3] :
( k5_rmod_4(X0,X1,X3) != k1_rlvect_1(X1)
| k2_rmod_4(X0,X1,X3) = k1_xboole_0
| ~ m2_rmod_4(X3,X0,X1,X2) )
<=> v1_rmod_5(X2,X0,X1) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ v5_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v3_rlvect_1(X1) )
| ~ l3_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ! [X3] :
( k2_rmod_4(X0,X1,X3) = k1_xboole_0
| k5_rmod_4(X0,X1,X3) != k1_rlvect_1(X1)
| ~ m2_rmod_4(X3,X0,X1,X2) )
<=> v1_rmod_5(X2,X0,X1) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v6_rlvect_1(X1)
| v3_struct_0(X1)
| ~ v5_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v4_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0) )
| ~ v7_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| v3_struct_0(X0)
| ~ v4_group_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v8_vectsp_1(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ( v7_vectsp_1(X0)
& v5_rlvect_1(X0)
& v3_rlvect_1(X0)
& v6_vectsp_1(X0)
& ~ v3_struct_0(X0)
& v4_group_1(X0)
& l3_vectsp_1(X0)
& v6_rlvect_1(X0)
& v4_rlvect_1(X0)
& v8_vectsp_1(X0) )
=> ! [X1] :
( ( v6_rlvect_1(X1)
& ~ v3_struct_0(X1)
& v5_rlvect_1(X1)
& v3_rlvect_1(X1)
& l1_vectsp_2(X1,X0)
& v4_rlvect_1(X1)
& v5_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ! [X3] :
( m2_rmod_4(X3,X0,X1,X2)
=> ( k5_rmod_4(X0,X1,X3) = k1_rlvect_1(X1)
=> k2_rmod_4(X0,X1,X3) = k1_xboole_0 ) )
<=> v1_rmod_5(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_rmod_5) ).
fof(f315,plain,
! [X2,X0,X1] :
( ~ m2_rmod_4(sK0(X0,X1,X2),X0,X1,k1_xboole_0)
| ~ v5_rlvect_1(X0)
| ~ v5_rlvect_1(X1)
| ~ v3_rlvect_1(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v3_rlvect_1(X1)
| ~ v8_vectsp_1(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ v7_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(X1)))
| v1_rmod_5(X2,X0,X1)
| ~ v6_rlvect_1(X0)
| ~ v4_rlvect_1(X1)
| v3_struct_0(X0)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(trivial_inequality_removal,[],[f314]) ).
fof(f314,plain,
! [X2,X0,X1] :
( ~ v5_rlvect_1(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v8_vectsp_1(X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v3_rlvect_1(X0)
| ~ v3_rlvect_1(X1)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v4_rlvect_1(X1)
| ~ v4_group_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v6_rlvect_1(X1)
| ~ l3_vectsp_1(X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X1)
| v1_rmod_5(X2,X0,X1)
| ~ m2_rmod_4(sK0(X0,X1,X2),X0,X1,k1_xboole_0)
| v3_struct_0(X0)
| ~ v4_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X1)
| k1_xboole_0 != k1_xboole_0 ),
inference(duplicate_literal_removal,[],[f309]) ).
fof(f309,plain,
! [X2,X0,X1] :
( ~ v6_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ l3_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v5_vectsp_2(X1,X0)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X0)
| ~ v4_rlvect_1(X1)
| v3_struct_0(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v6_rlvect_1(X1)
| ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v3_rlvect_1(X0)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X0)
| v1_rmod_5(X2,X0,X1)
| ~ v8_vectsp_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v3_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ m2_rmod_4(sK0(X0,X1,X2),X0,X1,k1_xboole_0)
| k1_xboole_0 != k1_xboole_0
| ~ l3_vectsp_1(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v4_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| v3_struct_0(X1) ),
inference(superposition,[],[f155,f306]) ).
fof(f306,plain,
! [X6,X4,X5] :
( k1_xboole_0 = k2_rmod_4(X4,X5,X6)
| ~ v6_vectsp_1(X4)
| ~ v8_vectsp_1(X4)
| ~ v7_vectsp_1(X4)
| v3_struct_0(X4)
| ~ v6_rlvect_1(X5)
| ~ m2_rmod_4(X6,X4,X5,k1_xboole_0)
| ~ v5_vectsp_2(X5,X4)
| ~ v6_rlvect_1(X4)
| ~ v5_rlvect_1(X5)
| ~ m1_subset_1(k1_xboole_0,k1_zfmisc_1(u1_struct_0(X5)))
| ~ v5_rlvect_1(X4)
| ~ l1_vectsp_2(X5,X4)
| ~ l3_vectsp_1(X4)
| ~ v3_rlvect_1(X5)
| ~ v4_group_1(X4)
| ~ v3_rlvect_1(X4)
| ~ v4_rlvect_1(X4)
| ~ v4_rlvect_1(X5)
| v3_struct_0(X5) ),
inference(resolution,[],[f304,f177]) ).
fof(f177,plain,
! [X0] :
( ~ r1_tarski(X0,k1_xboole_0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( k1_xboole_0 = X0
| ~ r1_tarski(X0,k1_xboole_0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0] :
( r1_tarski(X0,k1_xboole_0)
=> k1_xboole_0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(f304,plain,
! [X2,X3,X0,X1] :
( r1_tarski(k2_rmod_4(X0,X1,X3),X2)
| v3_struct_0(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v6_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ v8_vectsp_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| v3_struct_0(X1)
| ~ l3_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ m2_rmod_4(X3,X0,X1,X2)
| ~ v3_rlvect_1(X0) ),
inference(subsumption_resolution,[],[f209,f178]) ).
fof(f178,plain,
! [X2,X3,X0,X1] :
( ~ m2_rmod_4(X3,X2,X0,X1)
| ~ l3_vectsp_1(X2)
| m1_rmod_4(X3,X2,X0)
| ~ v6_rlvect_1(X0)
| ~ v7_vectsp_1(X2)
| ~ l1_vectsp_2(X0,X2)
| ~ v5_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v8_vectsp_1(X2)
| v3_struct_0(X2)
| ~ v4_rlvect_1(X2)
| ~ v3_rlvect_1(X2)
| ~ v4_group_1(X2)
| ~ v5_rlvect_1(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_rlvect_1(X0)
| ~ v6_rlvect_1(X2)
| ~ v6_vectsp_1(X2)
| ~ v5_vectsp_2(X0,X2) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ~ v6_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ l1_vectsp_2(X0,X2)
| ~ v4_rlvect_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X3] :
( ~ m2_rmod_4(X3,X2,X0,X1)
| m1_rmod_4(X3,X2,X0) )
| v3_struct_0(X0)
| ~ v7_vectsp_1(X2)
| ~ v3_rlvect_1(X0)
| ~ v5_rlvect_1(X2)
| ~ v5_vectsp_2(X0,X2)
| ~ v8_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2) ),
inference(rectify,[],[f84]) ).
fof(f84,plain,
! [X1,X0,X2] :
( ~ v6_rlvect_1(X2)
| ~ v4_rlvect_1(X2)
| ~ l1_vectsp_2(X1,X2)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ! [X3] :
( ~ m2_rmod_4(X3,X2,X1,X0)
| m1_rmod_4(X3,X2,X1) )
| v3_struct_0(X1)
| ~ v7_vectsp_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v5_vectsp_2(X1,X2)
| ~ v8_vectsp_1(X2)
| ~ v4_group_1(X2)
| ~ v6_vectsp_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| v3_struct_0(X2)
| ~ v3_rlvect_1(X2) ),
inference(flattening,[],[f83]) ).
fof(f83,plain,
! [X1,X2,X0] :
( ! [X3] :
( ~ m2_rmod_4(X3,X2,X1,X0)
| m1_rmod_4(X3,X2,X1) )
| ~ v5_rlvect_1(X1)
| ~ v5_rlvect_1(X2)
| ~ v3_rlvect_1(X1)
| ~ v3_rlvect_1(X2)
| ~ l3_vectsp_1(X2)
| ~ v6_rlvect_1(X2)
| ~ v6_rlvect_1(X1)
| ~ v6_vectsp_1(X2)
| ~ v5_vectsp_2(X1,X2)
| v3_struct_0(X2)
| ~ v4_rlvect_1(X1)
| ~ v4_group_1(X2)
| ~ v8_vectsp_1(X2)
| v3_struct_0(X1)
| ~ v7_vectsp_1(X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_vectsp_2(X1,X2)
| ~ v4_rlvect_1(X2) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
! [X1,X2,X0] :
( ( v5_rlvect_1(X1)
& v5_rlvect_1(X2)
& v3_rlvect_1(X1)
& v3_rlvect_1(X2)
& l3_vectsp_1(X2)
& v6_rlvect_1(X2)
& v6_rlvect_1(X1)
& v6_vectsp_1(X2)
& v5_vectsp_2(X1,X2)
& ~ v3_struct_0(X2)
& v4_rlvect_1(X1)
& v4_group_1(X2)
& v8_vectsp_1(X2)
& ~ v3_struct_0(X1)
& v7_vectsp_1(X2)
& m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
& l1_vectsp_2(X1,X2)
& v4_rlvect_1(X2) )
=> ! [X3] :
( m2_rmod_4(X3,X2,X1,X0)
=> m1_rmod_4(X3,X2,X1) ) ),
inference(rectify,[],[f33]) ).
fof(f33,axiom,
! [X2,X1,X0] :
( ( v6_vectsp_1(X0)
& v6_rlvect_1(X1)
& v5_rlvect_1(X0)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
& v6_rlvect_1(X0)
& v7_vectsp_1(X0)
& ~ v3_struct_0(X1)
& v4_rlvect_1(X0)
& ~ v3_struct_0(X0)
& l3_vectsp_1(X0)
& l1_vectsp_2(X1,X0)
& v8_vectsp_1(X0)
& v5_vectsp_2(X1,X0)
& v3_rlvect_1(X1)
& v3_rlvect_1(X0)
& v4_group_1(X0) )
=> ! [X3] :
( m2_rmod_4(X3,X0,X1,X2)
=> m1_rmod_4(X3,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_rmod_4) ).
fof(f209,plain,
! [X2,X3,X0,X1] :
( ~ v7_vectsp_1(X0)
| r1_tarski(k2_rmod_4(X0,X1,X3),X2)
| ~ v8_vectsp_1(X0)
| v3_struct_0(X0)
| ~ m2_rmod_4(X3,X0,X1,X2)
| ~ v5_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l3_vectsp_1(X0)
| ~ v3_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X0)
| ~ v4_rlvect_1(X1)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| v3_struct_0(X1)
| ~ v5_rlvect_1(X1)
| ~ m1_rmod_4(X3,X0,X1) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( r1_tarski(k2_rmod_4(X0,X1,X3),X2)
| ~ m2_rmod_4(X3,X0,X1,X2) )
& ( m2_rmod_4(X3,X0,X1,X2)
| ~ r1_tarski(k2_rmod_4(X0,X1,X3),X2) ) )
| ~ m1_rmod_4(X3,X0,X1) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v3_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ v4_rlvect_1(X1) )
| ~ v5_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v8_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0) ),
inference(nnf_transformation,[],[f86]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r1_tarski(k2_rmod_4(X0,X1,X3),X2)
<=> m2_rmod_4(X3,X0,X1,X2) )
| ~ m1_rmod_4(X3,X0,X1) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v3_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| v3_struct_0(X1)
| ~ l1_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ v4_rlvect_1(X1) )
| ~ v5_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| ~ v6_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v8_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( r1_tarski(k2_rmod_4(X0,X1,X3),X2)
<=> m2_rmod_4(X3,X0,X1,X2) )
| ~ m1_rmod_4(X3,X0,X1) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v3_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| v3_struct_0(X1)
| ~ v4_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ l1_vectsp_2(X1,X0) )
| ~ v7_vectsp_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ v4_group_1(X0)
| ~ v6_rlvect_1(X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ( v7_vectsp_1(X0)
& v6_vectsp_1(X0)
& v8_vectsp_1(X0)
& v4_group_1(X0)
& v6_rlvect_1(X0)
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( v3_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& ~ v3_struct_0(X1)
& v4_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_rlvect_1(X1)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_rmod_4(X3,X0,X1)
=> ( r1_tarski(k2_rmod_4(X0,X1,X3),X2)
<=> m2_rmod_4(X3,X0,X1,X2) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_rmod_4) ).
fof(f155,plain,
! [X2,X0,X1] :
( k1_xboole_0 != k2_rmod_4(X0,X1,sK0(X0,X1,X2))
| v3_struct_0(X1)
| ~ v7_vectsp_1(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X0)
| v1_rmod_5(X2,X0,X1)
| ~ v4_group_1(X0)
| ~ l1_vectsp_2(X1,X0)
| ~ v8_vectsp_1(X0)
| ~ v3_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v3_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v5_vectsp_2(X1,X0)
| ~ v6_rlvect_1(X1)
| ~ v4_rlvect_1(X0) ),
inference(cnf_transformation,[],[f112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ALG215+1 : TPTP v8.1.0. Released v3.4.0.
% 0.00/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.10/0.31 % Computer : n028.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Aug 29 15:10:02 EDT 2022
% 0.14/0.31 % CPUTime :
% 0.15/0.47 % (14330)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.47 % (14314)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.15/0.47 % (14312)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.47 % (14313)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.15/0.48 % (14322)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.15/0.49 % (14328)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.15/0.49 % (14329)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.15/0.50 % (14312)First to succeed.
% 0.15/0.50 % (14320)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.50 % (14321)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.15/0.50 % (14320)Instruction limit reached!
% 0.15/0.50 % (14320)------------------------------
% 0.15/0.50 % (14320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.50 % (14321)Instruction limit reached!
% 0.15/0.50 % (14321)------------------------------
% 0.15/0.50 % (14321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (14312)Refutation found. Thanks to Tanya!
% 0.15/0.51 % SZS status Theorem for theBenchmark
% 0.15/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.51 % (14312)------------------------------
% 0.15/0.51 % (14312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.51 % (14312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.51 % (14312)Termination reason: Refutation
% 0.15/0.51
% 0.15/0.51 % (14312)Memory used [KB]: 6268
% 0.15/0.51 % (14312)Time elapsed: 0.127 s
% 0.15/0.51 % (14312)Instructions burned: 17 (million)
% 0.15/0.51 % (14312)------------------------------
% 0.15/0.51 % (14312)------------------------------
% 0.15/0.51 % (14304)Success in time 0.186 s
%------------------------------------------------------------------------------