%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG222+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 : Tue Sep 29 09:19:26 AM UTC 2026
% Result : Theorem 43.01s 13.62s
% Output : Refutation 89.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 48
% Syntax : Number of formulae : 253 ( 92 unt; 33 def)
% Number of atoms : 1121 ( 6 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 1480 ( 612 ~; 643 |; 166 &)
% ( 34 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 55 ( 53 usr; 34 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-4 aty)
% Number of variables : 156 ( 0 sgn 148 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f70,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X1,X2) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f76,axiom,
! [X0,X1] : r1_tarski(X0,k2_xboole_0(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f86,axiom,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(f95,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
=> r1_tarski(k3_xboole_0(X0,X2),k3_xboole_0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_xboole_1) ).
fof(f177,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
=> r1_tarski(k3_xboole_0(X0,X2),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t108_xboole_1) ).
fof(f571,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k5_subset_1) ).
fof(f574,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f677,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(f1191,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& r1_tarski(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_ordinal1) ).
fof(f2808,axiom,
! [X0,X1,X2] :
~ ( r1_tarski(X0,k2_xboole_0(X1,k1_tarski(X2)))
& ~ r2_hidden(X2,X0)
& ~ r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_setwiseo) ).
fof(f9820,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_rmod_2(X2,X0,X1)
=> ! [X3] :
( m1_rmod_2(X3,X0,X1)
=> ! [X4] :
( m1_rmod_2(X4,X0,X1)
=> ( ( m1_rmod_2(X2,X0,X3)
& m1_rmod_2(X2,X0,X4) )
=> m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_rmod_3) ).
fof(f9989,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0)
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0)
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
=> ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
& m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_rmod_5) ).
fof(f10006,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( r1_tarski(X2,X3)
=> m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,k1_rmod_5(X0,X1,X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t15_rmod_5) ).
fof(f10009,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> m1_rmod_2(k1_rmod_5(X0,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),X0,k2_rmod_3(X0,X1,k1_rmod_5(X0,X1,X2),k1_rmod_5(X0,X1,X3))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t18_rmod_5) ).
fof(f10010,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> m1_rmod_2(k1_rmod_5(X0,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),X0,k2_rmod_3(X0,X1,k1_rmod_5(X0,X1,X2),k1_rmod_5(X0,X1,X3))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f10009]) ).
fof(f10041,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(X0,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),X0,k2_rmod_3(X0,X1,k1_rmod_5(X0,X1,X2),k1_rmod_5(X0,X1,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f10010]) ).
fof(f10042,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ m1_rmod_2(k1_rmod_5(X0,X1,k5_subset_1(u1_struct_0(X1),X2,X3)),X0,k2_rmod_3(X0,X1,k1_rmod_5(X0,X1,X2),k1_rmod_5(X0,X1,X3)))
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) )
& ~ v3_struct_0(X1)
& v3_rlvect_1(X1)
& v4_rlvect_1(X1)
& v5_rlvect_1(X1)
& v6_rlvect_1(X1)
& v5_vectsp_2(X1,X0)
& l1_vectsp_2(X1,X0) )
& ~ v3_struct_0(X0)
& v3_rlvect_1(X0)
& v4_rlvect_1(X0)
& v5_rlvect_1(X0)
& v6_rlvect_1(X0)
& v4_group_1(X0)
& v7_group_1(X0)
& v6_vectsp_1(X0)
& v7_vectsp_1(X0)
& v8_vectsp_1(X0)
& ~ v10_vectsp_1(X0)
& v2_vectsp_2(X0)
& l3_vectsp_1(X0) ),
inference(flattening,[],[f10041]) ).
fof(f10056,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f574]) ).
fof(f10057,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f10056]) ).
fof(f10062,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f571]) ).
fof(f10063,plain,
! [X0,X1,X2] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f10062]) ).
fof(f10127,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4))
| ~ m1_rmod_2(X2,X0,X3)
| ~ m1_rmod_2(X2,X0,X4)
| ~ m1_rmod_2(X4,X0,X1) )
| ~ m1_rmod_2(X3,X0,X1) )
| ~ m1_rmod_2(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f9820]) ).
fof(f10128,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4))
| ~ m1_rmod_2(X2,X0,X3)
| ~ m1_rmod_2(X2,X0,X4)
| ~ m1_rmod_2(X4,X0,X1) )
| ~ m1_rmod_2(X3,X0,X1) )
| ~ m1_rmod_2(X2,X0,X1) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f10127]) ).
fof(f10151,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))) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0) ),
inference(ennf_transformation,[],[f10006]) ).
fof(f10152,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))) )
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0) ),
inference(flattening,[],[f10151]) ).
fof(f10163,plain,
! [X0,X1,X2] :
( ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
& m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(ennf_transformation,[],[f9989]) ).
fof(f10164,plain,
! [X0,X1,X2] :
( ( v3_vectsp_2(k1_rmod_5(X0,X1,X2),X0)
& m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1) )
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(flattening,[],[f10163]) ).
fof(f10235,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r1_tarski(X1,X0) ),
inference(ennf_transformation,[],[f1191]) ).
fof(f10243,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f10244,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(flattening,[],[f10243]) ).
fof(f10319,plain,
! [X0,X1,X2] :
( r1_tarski(k3_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f177]) ).
fof(f10324,plain,
! [X0,X1,X2] :
( r1_tarski(k3_xboole_0(X0,X2),k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f95]) ).
fof(f10416,plain,
! [X0,X1,X2] :
( ~ r1_tarski(X0,k2_xboole_0(X1,k1_tarski(X2)))
| r2_hidden(X2,X0)
| r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f2808]) ).
fof(f10560,plain,
( ~ m1_rmod_2(k1_rmod_5(sK3,sK4,k5_subset_1(u1_struct_0(sK4),sK5,sK6)),sK3,k2_rmod_3(sK3,sK4,k1_rmod_5(sK3,sK4,sK5),k1_rmod_5(sK3,sK4,sK6)))
& m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
& m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
& ~ v3_struct_0(sK4)
& v3_rlvect_1(sK4)
& v4_rlvect_1(sK4)
& v5_rlvect_1(sK4)
& v6_rlvect_1(sK4)
& v5_vectsp_2(sK4,sK3)
& l1_vectsp_2(sK4,sK3)
& ~ v3_struct_0(sK3)
& v3_rlvect_1(sK3)
& v4_rlvect_1(sK3)
& v5_rlvect_1(sK3)
& v6_rlvect_1(sK3)
& v4_group_1(sK3)
& v7_group_1(sK3)
& v6_vectsp_1(sK3)
& v7_vectsp_1(sK3)
& v8_vectsp_1(sK3)
& ~ v10_vectsp_1(sK3)
& v2_vectsp_2(sK3)
& l3_vectsp_1(sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6)],[f10042]) ).
fof(f10616,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,[],[f677]) ).
fof(f10717,plain,
l3_vectsp_1(sK3),
inference(cnf_transformation,[],[f10560]) ).
fof(f10718,plain,
v2_vectsp_2(sK3),
inference(cnf_transformation,[],[f10560]) ).
fof(f10719,plain,
~ v10_vectsp_1(sK3),
inference(cnf_transformation,[],[f10560]) ).
fof(f10720,plain,
v8_vectsp_1(sK3),
inference(cnf_transformation,[],[f10560]) ).
fof(f10721,plain,
v7_vectsp_1(sK3),
inference(cnf_transformation,[],[f10560]) ).
fof(f10722,plain,
v6_vectsp_1(sK3),
inference(cnf_transformation,[],[f10560]) ).
fof(f10723,plain,
v7_group_1(sK3),
inference(cnf_transformation,[],[f10560]) ).
fof(f10724,plain,
v4_group_1(sK3),
inference(cnf_transformation,[],[f10560]) ).
fof(f10725,plain,
v6_rlvect_1(sK3),
inference(cnf_transformation,[],[f10560]) ).
fof(f10726,plain,
v5_rlvect_1(sK3),
inference(cnf_transformation,[],[f10560]) ).
fof(f10727,plain,
v4_rlvect_1(sK3),
inference(cnf_transformation,[],[f10560]) ).
fof(f10728,plain,
v3_rlvect_1(sK3),
inference(cnf_transformation,[],[f10560]) ).
fof(f10729,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f10560]) ).
fof(f10730,plain,
l1_vectsp_2(sK4,sK3),
inference(cnf_transformation,[],[f10560]) ).
fof(f10731,plain,
v5_vectsp_2(sK4,sK3),
inference(cnf_transformation,[],[f10560]) ).
fof(f10732,plain,
v6_rlvect_1(sK4),
inference(cnf_transformation,[],[f10560]) ).
fof(f10733,plain,
v5_rlvect_1(sK4),
inference(cnf_transformation,[],[f10560]) ).
fof(f10734,plain,
v4_rlvect_1(sK4),
inference(cnf_transformation,[],[f10560]) ).
fof(f10735,plain,
v3_rlvect_1(sK4),
inference(cnf_transformation,[],[f10560]) ).
fof(f10736,plain,
~ v3_struct_0(sK4),
inference(cnf_transformation,[],[f10560]) ).
fof(f10737,plain,
m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4))),
inference(cnf_transformation,[],[f10560]) ).
fof(f10738,plain,
m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4))),
inference(cnf_transformation,[],[f10560]) ).
fof(f10739,plain,
~ m1_rmod_2(k1_rmod_5(sK3,sK4,k5_subset_1(u1_struct_0(sK4),sK5,sK6)),sK3,k2_rmod_3(sK3,sK4,k1_rmod_5(sK3,sK4,sK5),k1_rmod_5(sK3,sK4,sK6))),
inference(cnf_transformation,[],[f10560]) ).
fof(f10762,plain,
! [X2,X0,X1] :
( k3_xboole_0(X1,X2) = k5_subset_1(X0,X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f10057]) ).
fof(f10765,plain,
! [X2,X0,X1] :
( m1_subset_1(k5_subset_1(X0,X1,X2),k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f10063]) ).
fof(f10837,plain,
! [X2,X3,X0,X1,X4] :
( m1_rmod_2(X2,X0,k2_rmod_3(X0,X1,X3,X4))
| ~ m1_rmod_2(X2,X0,X3)
| ~ m1_rmod_2(X2,X0,X4)
| ~ m1_rmod_2(X4,X0,X1)
| ~ m1_rmod_2(X3,X0,X1)
| ~ m1_rmod_2(X2,X0,X1)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f10128]) ).
fof(f10854,plain,
! [X2,X3,X0,X1] :
( 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)))
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0) ),
inference(cnf_transformation,[],[f10152]) ).
fof(f10862,plain,
! [X2,X0,X1] :
( m1_rmod_2(k1_rmod_5(X0,X1,X2),X0,X1)
| v3_struct_0(X0)
| ~ v3_rlvect_1(X0)
| ~ v4_rlvect_1(X0)
| ~ v5_rlvect_1(X0)
| ~ v6_rlvect_1(X0)
| ~ v4_group_1(X0)
| ~ v7_group_1(X0)
| ~ v6_vectsp_1(X0)
| ~ v7_vectsp_1(X0)
| ~ v8_vectsp_1(X0)
| v10_vectsp_1(X0)
| ~ v2_vectsp_2(X0)
| ~ l3_vectsp_1(X0)
| v3_struct_0(X1)
| ~ v3_rlvect_1(X1)
| ~ v4_rlvect_1(X1)
| ~ v5_rlvect_1(X1)
| ~ v6_rlvect_1(X1)
| ~ v5_vectsp_2(X1,X0)
| ~ l1_vectsp_2(X1,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f10164]) ).
fof(f10960,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f10235]) ).
fof(f10962,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10616]) ).
fof(f10963,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10616]) ).
fof(f10974,plain,
! [X2,X0,X1] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f10244]) ).
fof(f11095,plain,
! [X2,X0,X1] :
( r1_tarski(k3_xboole_0(X0,X2),X1)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10319]) ).
fof(f11101,plain,
! [X2,X0,X1] :
( r1_tarski(k3_xboole_0(X0,X2),k3_xboole_0(X1,X2))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10324]) ).
fof(f11112,plain,
! [X0,X1] : r1_tarski(k3_xboole_0(X0,X1),X0),
inference(cnf_transformation,[],[f86]) ).
fof(f11116,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f11240,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_xboole_0(X1,k1_tarski(X2)))
| r2_hidden(X2,X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f10416]) ).
fof(f11276,plain,
! [X0,X1] : r1_tarski(X0,k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f76]) ).
fof(f11470,definition,
( spl102_1
<=> l3_vectsp_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl102_1])],[avatar_definition]) ).
fof(f11472,plain,
( ~ l3_vectsp_1(sK3)
| spl102_1 ),
inference(avatar_component_clause,[],[f11470]) ).
fof(f11474,definition,
( spl102_2
<=> v6_vectsp_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl102_2])],[avatar_definition]) ).
fof(f11476,plain,
( v6_vectsp_1(sK3)
| ~ spl102_2 ),
inference(avatar_component_clause,[],[f11474]) ).
fof(f11482,definition,
( spl102_4
<=> v8_vectsp_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl102_4])],[avatar_definition]) ).
fof(f11483,plain,
( v8_vectsp_1(sK3)
| ~ spl102_4 ),
inference(avatar_component_clause,[],[f11482]) ).
fof(f11486,definition,
( spl102_5
<=> v7_vectsp_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl102_5])],[avatar_definition]) ).
fof(f11487,plain,
( v7_vectsp_1(sK3)
| ~ spl102_5 ),
inference(avatar_component_clause,[],[f11486]) ).
fof(f11490,definition,
( spl102_6
<=> v7_group_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl102_6])],[avatar_definition]) ).
fof(f11491,plain,
( v7_group_1(sK3)
| ~ spl102_6 ),
inference(avatar_component_clause,[],[f11490]) ).
fof(f11494,definition,
( spl102_7
<=> v4_group_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl102_7])],[avatar_definition]) ).
fof(f11495,plain,
( v4_group_1(sK3)
| ~ spl102_7 ),
inference(avatar_component_clause,[],[f11494]) ).
fof(f11498,definition,
( spl102_8
<=> v6_rlvect_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl102_8])],[avatar_definition]) ).
fof(f11499,plain,
( v6_rlvect_1(sK3)
| ~ spl102_8 ),
inference(avatar_component_clause,[],[f11498]) ).
fof(f11502,definition,
( spl102_9
<=> v5_rlvect_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl102_9])],[avatar_definition]) ).
fof(f11503,plain,
( v5_rlvect_1(sK3)
| ~ spl102_9 ),
inference(avatar_component_clause,[],[f11502]) ).
fof(f11506,definition,
( spl102_10
<=> v4_rlvect_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl102_10])],[avatar_definition]) ).
fof(f11507,plain,
( v4_rlvect_1(sK3)
| ~ spl102_10 ),
inference(avatar_component_clause,[],[f11506]) ).
fof(f11510,definition,
( spl102_11
<=> v3_rlvect_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl102_11])],[avatar_definition]) ).
fof(f11511,plain,
( v3_rlvect_1(sK3)
| ~ spl102_11 ),
inference(avatar_component_clause,[],[f11510]) ).
fof(f11514,definition,
( spl102_12
<=> v3_struct_0(sK3) ),
introduced(definition,[new_symbols(definition,[spl102_12])],[avatar_definition]) ).
fof(f11515,plain,
( ~ v3_struct_0(sK3)
| spl102_12 ),
inference(avatar_component_clause,[],[f11514]) ).
fof(f11518,plain,
spl102_4,
inference(avatar_split_clause,[],[f10720,f11482]) ).
fof(f11519,plain,
spl102_5,
inference(avatar_split_clause,[],[f10721,f11486]) ).
fof(f11520,plain,
spl102_2,
inference(avatar_split_clause,[],[f10722,f11474]) ).
fof(f11521,plain,
spl102_6,
inference(avatar_split_clause,[],[f10723,f11490]) ).
fof(f11522,plain,
spl102_7,
inference(avatar_split_clause,[],[f10724,f11494]) ).
fof(f11523,plain,
spl102_8,
inference(avatar_split_clause,[],[f10725,f11498]) ).
fof(f11524,plain,
spl102_9,
inference(avatar_split_clause,[],[f10726,f11502]) ).
fof(f11525,plain,
spl102_10,
inference(avatar_split_clause,[],[f10727,f11506]) ).
fof(f11526,plain,
spl102_11,
inference(avatar_split_clause,[],[f10728,f11510]) ).
fof(f11527,plain,
~ spl102_12,
inference(avatar_split_clause,[],[f10729,f11514]) ).
fof(f11528,plain,
( $false
| spl102_1 ),
inference(unit_resulting_resolution,[],[f11472,f10717]) ).
fof(f11532,plain,
spl102_1,
inference(avatar_contradiction_clause,[],[f11528]) ).
fof(f11546,plain,
r1_tarski(sK5,u1_struct_0(sK4)),
inference(resolution,[],[f10737,f10962]) ).
fof(f11582,plain,
~ r2_hidden(u1_struct_0(sK4),sK5),
inference(resolution,[],[f11546,f10960]) ).
fof(f11630,plain,
r1_tarski(sK6,u1_struct_0(sK4)),
inference(resolution,[],[f10738,f10962]) ).
fof(f12205,plain,
( ~ m1_rmod_2(k1_rmod_5(sK3,sK4,k5_subset_1(u1_struct_0(sK4),sK5,sK6)),sK3,k1_rmod_5(sK3,sK4,sK5))
| ~ m1_rmod_2(k1_rmod_5(sK3,sK4,k5_subset_1(u1_struct_0(sK4),sK5,sK6)),sK3,k1_rmod_5(sK3,sK4,sK6))
| ~ m1_rmod_2(k1_rmod_5(sK3,sK4,sK6),sK3,sK4)
| ~ m1_rmod_2(k1_rmod_5(sK3,sK4,sK5),sK3,sK4)
| ~ m1_rmod_2(k1_rmod_5(sK3,sK4,k5_subset_1(u1_struct_0(sK4),sK5,sK6)),sK3,sK4)
| v3_struct_0(sK4)
| ~ v3_rlvect_1(sK4)
| ~ v4_rlvect_1(sK4)
| ~ v5_rlvect_1(sK4)
| ~ v6_rlvect_1(sK4)
| ~ v5_vectsp_2(sK4,sK3)
| ~ l1_vectsp_2(sK4,sK3)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v4_group_1(sK3)
| ~ v6_vectsp_1(sK3)
| ~ v7_vectsp_1(sK3)
| ~ v8_vectsp_1(sK3)
| ~ l3_vectsp_1(sK3) ),
inference(resolution,[],[f10739,f10837]) ).
fof(f12212,definition,
( spl102_30
<=> l1_vectsp_2(sK4,sK3) ),
introduced(definition,[new_symbols(definition,[spl102_30])],[avatar_definition]) ).
fof(f12214,plain,
( ~ l1_vectsp_2(sK4,sK3)
| spl102_30 ),
inference(avatar_component_clause,[],[f12212]) ).
fof(f12216,definition,
( spl102_31
<=> v5_vectsp_2(sK4,sK3) ),
introduced(definition,[new_symbols(definition,[spl102_31])],[avatar_definition]) ).
fof(f12218,plain,
( ~ v5_vectsp_2(sK4,sK3)
| spl102_31 ),
inference(avatar_component_clause,[],[f12216]) ).
fof(f12220,definition,
( spl102_32
<=> v6_rlvect_1(sK4) ),
introduced(definition,[new_symbols(definition,[spl102_32])],[avatar_definition]) ).
fof(f12222,plain,
( ~ v6_rlvect_1(sK4)
| spl102_32 ),
inference(avatar_component_clause,[],[f12220]) ).
fof(f12224,definition,
( spl102_33
<=> v5_rlvect_1(sK4) ),
introduced(definition,[new_symbols(definition,[spl102_33])],[avatar_definition]) ).
fof(f12226,plain,
( ~ v5_rlvect_1(sK4)
| spl102_33 ),
inference(avatar_component_clause,[],[f12224]) ).
fof(f12228,definition,
( spl102_34
<=> v4_rlvect_1(sK4) ),
introduced(definition,[new_symbols(definition,[spl102_34])],[avatar_definition]) ).
fof(f12230,plain,
( ~ v4_rlvect_1(sK4)
| spl102_34 ),
inference(avatar_component_clause,[],[f12228]) ).
fof(f12232,definition,
( spl102_35
<=> v3_rlvect_1(sK4) ),
introduced(definition,[new_symbols(definition,[spl102_35])],[avatar_definition]) ).
fof(f12234,plain,
( ~ v3_rlvect_1(sK4)
| spl102_35 ),
inference(avatar_component_clause,[],[f12232]) ).
fof(f12236,definition,
( spl102_36
<=> v3_struct_0(sK4) ),
introduced(definition,[new_symbols(definition,[spl102_36])],[avatar_definition]) ).
fof(f12238,plain,
( v3_struct_0(sK4)
| ~ spl102_36 ),
inference(avatar_component_clause,[],[f12236]) ).
fof(f12240,definition,
( spl102_37
<=> m1_rmod_2(k1_rmod_5(sK3,sK4,sK6),sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl102_37])],[avatar_definition]) ).
fof(f12242,plain,
( ~ m1_rmod_2(k1_rmod_5(sK3,sK4,sK6),sK3,sK4)
| spl102_37 ),
inference(avatar_component_clause,[],[f12240]) ).
fof(f12244,definition,
( spl102_38
<=> m1_rmod_2(k1_rmod_5(sK3,sK4,sK5),sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl102_38])],[avatar_definition]) ).
fof(f12246,plain,
( ~ m1_rmod_2(k1_rmod_5(sK3,sK4,sK5),sK3,sK4)
| spl102_38 ),
inference(avatar_component_clause,[],[f12244]) ).
fof(f12256,definition,
( spl102_41
<=> m1_rmod_2(k1_rmod_5(sK3,sK4,k5_subset_1(u1_struct_0(sK4),sK5,sK6)),sK3,k1_rmod_5(sK3,sK4,sK5)) ),
introduced(definition,[new_symbols(definition,[spl102_41])],[avatar_definition]) ).
fof(f12258,plain,
( ~ m1_rmod_2(k1_rmod_5(sK3,sK4,k5_subset_1(u1_struct_0(sK4),sK5,sK6)),sK3,k1_rmod_5(sK3,sK4,sK5))
| spl102_41 ),
inference(avatar_component_clause,[],[f12256]) ).
fof(f12261,definition,
( spl102_42
<=> m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4))) ),
introduced(definition,[new_symbols(definition,[spl102_42])],[avatar_definition]) ).
fof(f12263,plain,
( ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
| spl102_42 ),
inference(avatar_component_clause,[],[f12261]) ).
fof(f12265,definition,
( spl102_43
<=> m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4))) ),
introduced(definition,[new_symbols(definition,[spl102_43])],[avatar_definition]) ).
fof(f12267,plain,
( ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| spl102_43 ),
inference(avatar_component_clause,[],[f12265]) ).
fof(f12334,definition,
( spl102_60
<=> m1_rmod_2(k1_rmod_5(sK3,sK4,k5_subset_1(u1_struct_0(sK4),sK5,sK6)),sK3,sK4) ),
introduced(definition,[new_symbols(definition,[spl102_60])],[avatar_definition]) ).
fof(f12336,plain,
( ~ m1_rmod_2(k1_rmod_5(sK3,sK4,k5_subset_1(u1_struct_0(sK4),sK5,sK6)),sK3,sK4)
| spl102_60 ),
inference(avatar_component_clause,[],[f12334]) ).
fof(f12338,definition,
( spl102_61
<=> m1_rmod_2(k1_rmod_5(sK3,sK4,k5_subset_1(u1_struct_0(sK4),sK5,sK6)),sK3,k1_rmod_5(sK3,sK4,sK6)) ),
introduced(definition,[new_symbols(definition,[spl102_61])],[avatar_definition]) ).
fof(f12340,plain,
( ~ m1_rmod_2(k1_rmod_5(sK3,sK4,k5_subset_1(u1_struct_0(sK4),sK5,sK6)),sK3,k1_rmod_5(sK3,sK4,sK6))
| spl102_61 ),
inference(avatar_component_clause,[],[f12338]) ).
fof(f12341,plain,
( ~ spl102_1
| ~ spl102_4
| ~ spl102_5
| ~ spl102_2
| ~ spl102_7
| ~ spl102_8
| ~ spl102_9
| ~ spl102_10
| ~ spl102_11
| spl102_12
| ~ spl102_30
| ~ spl102_31
| ~ spl102_32
| ~ spl102_33
| ~ spl102_34
| ~ spl102_35
| spl102_36
| ~ spl102_60
| ~ spl102_38
| ~ spl102_37
| ~ spl102_61
| ~ spl102_41 ),
inference(avatar_split_clause,[],[f12205,f12256,f12338,f12240,f12244,f12334,f12236,f12232,f12228,f12224,f12220,f12216,f12212,f11514,f11510,f11506,f11502,f11498,f11494,f11474,f11486,f11482,f11470]) ).
fof(f12342,plain,
( $false
| spl102_30 ),
inference(unit_resulting_resolution,[],[f12214,f10730]) ).
fof(f12345,plain,
spl102_30,
inference(avatar_contradiction_clause,[],[f12342]) ).
fof(f12346,plain,
( $false
| spl102_31 ),
inference(unit_resulting_resolution,[],[f12218,f10731]) ).
fof(f12349,plain,
spl102_31,
inference(avatar_contradiction_clause,[],[f12346]) ).
fof(f12350,plain,
( $false
| spl102_32 ),
inference(unit_resulting_resolution,[],[f12222,f10732]) ).
fof(f12354,plain,
spl102_32,
inference(avatar_contradiction_clause,[],[f12350]) ).
fof(f12355,plain,
( $false
| spl102_33 ),
inference(unit_resulting_resolution,[],[f12226,f10733]) ).
fof(f12359,plain,
spl102_33,
inference(avatar_contradiction_clause,[],[f12355]) ).
fof(f12360,plain,
( $false
| spl102_34 ),
inference(unit_resulting_resolution,[],[f12230,f10734]) ).
fof(f12364,plain,
spl102_34,
inference(avatar_contradiction_clause,[],[f12360]) ).
fof(f12365,plain,
( $false
| spl102_35 ),
inference(unit_resulting_resolution,[],[f12234,f10735]) ).
fof(f12369,plain,
spl102_35,
inference(avatar_contradiction_clause,[],[f12365]) ).
fof(f12371,plain,
( $false
| spl102_42 ),
inference(unit_resulting_resolution,[],[f10963,f11630,f12263]) ).
fof(f12382,plain,
spl102_42,
inference(avatar_contradiction_clause,[],[f12371]) ).
fof(f12393,plain,
( $false
| spl102_43 ),
inference(unit_resulting_resolution,[],[f10963,f11546,f12267]) ).
fof(f12404,plain,
spl102_43,
inference(avatar_contradiction_clause,[],[f12393]) ).
fof(f12410,plain,
( $false
| ~ spl102_2
| ~ spl102_4
| ~ spl102_5
| ~ spl102_6
| ~ spl102_7
| ~ spl102_8
| ~ spl102_9
| ~ spl102_10
| ~ spl102_11
| spl102_12
| spl102_37 ),
inference(unit_resulting_resolution,[],[f10862,f11515,f11507,f11511,f10732,f10733,f10734,f10735,f10736,f10717,f10718,f10719,f11483,f11487,f11476,f11491,f11495,f11499,f11503,f10730,f10731,f10738,f12242]) ).
fof(f12413,plain,
( ~ spl102_2
| ~ spl102_4
| ~ spl102_5
| ~ spl102_6
| ~ spl102_7
| ~ spl102_8
| ~ spl102_9
| ~ spl102_10
| ~ spl102_11
| spl102_12
| spl102_37 ),
inference(avatar_contradiction_clause,[],[f12410]) ).
fof(f12447,definition,
( spl102_73
<=> v2_vectsp_2(sK3) ),
introduced(definition,[new_symbols(definition,[spl102_73])],[avatar_definition]) ).
fof(f12449,plain,
( ~ v2_vectsp_2(sK3)
| spl102_73 ),
inference(avatar_component_clause,[],[f12447]) ).
fof(f12451,definition,
( spl102_74
<=> v10_vectsp_1(sK3) ),
introduced(definition,[new_symbols(definition,[spl102_74])],[avatar_definition]) ).
fof(f12453,plain,
( v10_vectsp_1(sK3)
| ~ spl102_74 ),
inference(avatar_component_clause,[],[f12451]) ).
fof(f12497,plain,
( $false
| ~ spl102_36 ),
inference(unit_resulting_resolution,[],[f12238,f10736]) ).
fof(f12500,plain,
~ spl102_36,
inference(avatar_contradiction_clause,[],[f12497]) ).
fof(f12502,plain,
( $false
| ~ spl102_2
| ~ spl102_4
| ~ spl102_5
| ~ spl102_6
| ~ spl102_7
| ~ spl102_8
| ~ spl102_9
| ~ spl102_10
| ~ spl102_11
| spl102_12
| spl102_38 ),
inference(unit_resulting_resolution,[],[f10862,f11515,f11507,f11511,f10732,f10733,f10734,f10735,f10736,f10717,f10718,f10719,f11483,f11487,f11476,f11491,f11495,f11499,f11503,f10730,f10731,f10737,f12246]) ).
fof(f12505,plain,
( ~ spl102_2
| ~ spl102_4
| ~ spl102_5
| ~ spl102_6
| ~ spl102_7
| ~ spl102_8
| ~ spl102_9
| ~ spl102_10
| ~ spl102_11
| spl102_12
| spl102_38 ),
inference(avatar_contradiction_clause,[],[f12502]) ).
fof(f12603,plain,
( $false
| spl102_73 ),
inference(unit_resulting_resolution,[],[f12449,f10718]) ).
fof(f12607,plain,
spl102_73,
inference(avatar_contradiction_clause,[],[f12603]) ).
fof(f12609,plain,
( $false
| ~ spl102_74 ),
inference(unit_resulting_resolution,[],[f12453,f10719]) ).
fof(f12612,plain,
~ spl102_74,
inference(avatar_contradiction_clause,[],[f12609]) ).
fof(f14024,plain,
( ~ r1_tarski(k5_subset_1(u1_struct_0(sK4),sK5,sK6),sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(k5_subset_1(u1_struct_0(sK4),sK5,sK6),k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v3_rlvect_1(sK4)
| ~ v4_rlvect_1(sK4)
| ~ v5_rlvect_1(sK4)
| ~ v6_rlvect_1(sK4)
| ~ v5_vectsp_2(sK4,sK3)
| ~ l1_vectsp_2(sK4,sK3)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v4_group_1(sK3)
| ~ v7_group_1(sK3)
| ~ v6_vectsp_1(sK3)
| ~ v7_vectsp_1(sK3)
| ~ v8_vectsp_1(sK3)
| v10_vectsp_1(sK3)
| ~ v2_vectsp_2(sK3)
| ~ l3_vectsp_1(sK3)
| spl102_41 ),
inference(resolution,[],[f12258,f10854]) ).
fof(f14035,definition,
( spl102_172
<=> m1_subset_1(k5_subset_1(u1_struct_0(sK4),sK5,sK6),k1_zfmisc_1(u1_struct_0(sK4))) ),
introduced(definition,[new_symbols(definition,[spl102_172])],[avatar_definition]) ).
fof(f14036,plain,
( m1_subset_1(k5_subset_1(u1_struct_0(sK4),sK5,sK6),k1_zfmisc_1(u1_struct_0(sK4)))
| ~ spl102_172 ),
inference(avatar_component_clause,[],[f14035]) ).
fof(f14037,plain,
( ~ m1_subset_1(k5_subset_1(u1_struct_0(sK4),sK5,sK6),k1_zfmisc_1(u1_struct_0(sK4)))
| spl102_172 ),
inference(avatar_component_clause,[],[f14035]) ).
fof(f14039,definition,
( spl102_173
<=> r1_tarski(k5_subset_1(u1_struct_0(sK4),sK5,sK6),sK5) ),
introduced(definition,[new_symbols(definition,[spl102_173])],[avatar_definition]) ).
fof(f14041,plain,
( ~ r1_tarski(k5_subset_1(u1_struct_0(sK4),sK5,sK6),sK5)
| spl102_173 ),
inference(avatar_component_clause,[],[f14039]) ).
fof(f14042,plain,
( ~ spl102_1
| ~ spl102_73
| spl102_74
| ~ spl102_4
| ~ spl102_5
| ~ spl102_2
| ~ spl102_6
| ~ spl102_7
| ~ spl102_8
| ~ spl102_9
| ~ spl102_10
| ~ spl102_11
| spl102_12
| ~ spl102_30
| ~ spl102_31
| ~ spl102_32
| ~ spl102_33
| ~ spl102_34
| ~ spl102_35
| spl102_36
| ~ spl102_172
| ~ spl102_43
| ~ spl102_173
| spl102_41 ),
inference(avatar_split_clause,[],[f14024,f12256,f14039,f12265,f14035,f12236,f12232,f12228,f12224,f12220,f12216,f12212,f11514,f11510,f11506,f11502,f11498,f11494,f11490,f11474,f11486,f11482,f12451,f12447,f11470]) ).
fof(f14046,plain,
( ~ r1_tarski(k3_xboole_0(sK5,sK6),sK5)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
| spl102_173 ),
inference(superposition,[],[f14041,f10762]) ).
fof(f14048,definition,
( spl102_174
<=> r1_tarski(k3_xboole_0(sK5,sK6),sK5) ),
introduced(definition,[new_symbols(definition,[spl102_174])],[avatar_definition]) ).
fof(f14050,plain,
( ~ r1_tarski(k3_xboole_0(sK5,sK6),sK5)
| spl102_174 ),
inference(avatar_component_clause,[],[f14048]) ).
fof(f14051,plain,
( ~ spl102_42
| ~ spl102_43
| ~ spl102_174
| spl102_173 ),
inference(avatar_split_clause,[],[f14046,f14039,f14048,f12265,f12261]) ).
fof(f14060,plain,
( ~ r1_tarski(sK5,sK5)
| spl102_174 ),
inference(resolution,[],[f14050,f11095]) ).
fof(f14076,definition,
( spl102_176
<=> r1_tarski(sK5,sK5) ),
introduced(definition,[new_symbols(definition,[spl102_176])],[avatar_definition]) ).
fof(f14078,plain,
( ~ r1_tarski(sK5,sK5)
| spl102_176 ),
inference(avatar_component_clause,[],[f14076]) ).
fof(f14080,plain,
( ~ spl102_176
| spl102_174 ),
inference(avatar_split_clause,[],[f14060,f14048,f14076]) ).
fof(f14562,plain,
( $false
| spl102_176 ),
inference(unit_resulting_resolution,[],[f11240,f11582,f11276,f14078]) ).
fof(f14577,plain,
spl102_176,
inference(avatar_contradiction_clause,[],[f14562]) ).
fof(f15003,plain,
( $false
| spl102_172 ),
inference(unit_resulting_resolution,[],[f10765,f10738,f10737,f14037]) ).
fof(f15013,plain,
spl102_172,
inference(avatar_contradiction_clause,[],[f15003]) ).
fof(f18250,plain,
( ~ r1_tarski(k5_subset_1(u1_struct_0(sK4),sK5,sK6),sK6)
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(k5_subset_1(u1_struct_0(sK4),sK5,sK6),k1_zfmisc_1(u1_struct_0(sK4)))
| v3_struct_0(sK4)
| ~ v3_rlvect_1(sK4)
| ~ v4_rlvect_1(sK4)
| ~ v5_rlvect_1(sK4)
| ~ v6_rlvect_1(sK4)
| ~ v5_vectsp_2(sK4,sK3)
| ~ l1_vectsp_2(sK4,sK3)
| v3_struct_0(sK3)
| ~ v3_rlvect_1(sK3)
| ~ v4_rlvect_1(sK3)
| ~ v5_rlvect_1(sK3)
| ~ v6_rlvect_1(sK3)
| ~ v4_group_1(sK3)
| ~ v7_group_1(sK3)
| ~ v6_vectsp_1(sK3)
| ~ v7_vectsp_1(sK3)
| ~ v8_vectsp_1(sK3)
| v10_vectsp_1(sK3)
| ~ v2_vectsp_2(sK3)
| ~ l3_vectsp_1(sK3)
| spl102_61 ),
inference(resolution,[],[f12340,f10854]) ).
fof(f18261,definition,
( spl102_273
<=> r1_tarski(k5_subset_1(u1_struct_0(sK4),sK5,sK6),sK6) ),
introduced(definition,[new_symbols(definition,[spl102_273])],[avatar_definition]) ).
fof(f18263,plain,
( ~ r1_tarski(k5_subset_1(u1_struct_0(sK4),sK5,sK6),sK6)
| spl102_273 ),
inference(avatar_component_clause,[],[f18261]) ).
fof(f18264,plain,
( ~ spl102_1
| ~ spl102_73
| spl102_74
| ~ spl102_4
| ~ spl102_5
| ~ spl102_2
| ~ spl102_6
| ~ spl102_7
| ~ spl102_8
| ~ spl102_9
| ~ spl102_10
| ~ spl102_11
| spl102_12
| ~ spl102_30
| ~ spl102_31
| ~ spl102_32
| ~ spl102_33
| ~ spl102_34
| ~ spl102_35
| spl102_36
| ~ spl102_172
| ~ spl102_42
| ~ spl102_273
| spl102_61 ),
inference(avatar_split_clause,[],[f18250,f12338,f18261,f12261,f14035,f12236,f12232,f12228,f12224,f12220,f12216,f12212,f11514,f11510,f11506,f11502,f11498,f11494,f11490,f11474,f11486,f11482,f12451,f12447,f11470]) ).
fof(f19223,plain,
( $false
| ~ spl102_2
| ~ spl102_4
| ~ spl102_5
| ~ spl102_6
| ~ spl102_7
| ~ spl102_8
| ~ spl102_9
| ~ spl102_10
| ~ spl102_11
| spl102_12
| spl102_60
| ~ spl102_172 ),
inference(unit_resulting_resolution,[],[f10862,f11515,f11507,f11511,f10732,f10733,f10734,f10735,f10736,f10717,f10718,f10719,f11483,f11487,f11476,f11491,f11495,f11499,f11503,f10730,f10731,f14036,f12336]) ).
fof(f19230,plain,
( ~ spl102_2
| ~ spl102_4
| ~ spl102_5
| ~ spl102_6
| ~ spl102_7
| ~ spl102_8
| ~ spl102_9
| ~ spl102_10
| ~ spl102_11
| spl102_12
| spl102_60
| ~ spl102_172 ),
inference(avatar_contradiction_clause,[],[f19223]) ).
fof(f19263,plain,
( ~ r1_tarski(k3_xboole_0(sK5,sK6),sK6)
| ~ m1_subset_1(sK5,k1_zfmisc_1(u1_struct_0(sK4)))
| ~ m1_subset_1(sK6,k1_zfmisc_1(u1_struct_0(sK4)))
| spl102_273 ),
inference(superposition,[],[f18263,f10762]) ).
fof(f19265,definition,
( spl102_289
<=> r1_tarski(k3_xboole_0(sK5,sK6),sK6) ),
introduced(definition,[new_symbols(definition,[spl102_289])],[avatar_definition]) ).
fof(f19267,plain,
( ~ r1_tarski(k3_xboole_0(sK5,sK6),sK6)
| spl102_289 ),
inference(avatar_component_clause,[],[f19265]) ).
fof(f19268,plain,
( ~ spl102_42
| ~ spl102_43
| ~ spl102_289
| spl102_273 ),
inference(avatar_split_clause,[],[f19263,f18261,f19265,f12265,f12261]) ).
fof(f19270,plain,
( ! [X0] :
( ~ r1_tarski(k3_xboole_0(sK5,sK6),X0)
| ~ r1_tarski(X0,sK6) )
| spl102_289 ),
inference(resolution,[],[f19267,f10974]) ).
fof(f19347,plain,
( ! [X0] :
( ~ r1_tarski(k3_xboole_0(X0,sK6),sK6)
| ~ r1_tarski(sK5,X0) )
| spl102_289 ),
inference(resolution,[],[f19270,f11101]) ).
fof(f19392,plain,
( ! [X0] :
( ~ r1_tarski(k3_xboole_0(sK6,X0),sK6)
| ~ r1_tarski(sK5,X0) )
| spl102_289 ),
inference(superposition,[],[f19347,f11116]) ).
fof(f19398,plain,
( $false
| spl102_289 ),
inference(unit_resulting_resolution,[],[f19392,f11546,f11112]) ).
fof(f19411,plain,
spl102_289,
inference(avatar_contradiction_clause,[],[f19398]) ).
cnf(s2,plain,
spl102_4,
inference(sat_conversion,[],[f11518]) ).
cnf(s3,plain,
spl102_5,
inference(sat_conversion,[],[f11519]) ).
cnf(s4,plain,
spl102_2,
inference(sat_conversion,[],[f11520]) ).
cnf(s5,plain,
spl102_6,
inference(sat_conversion,[],[f11521]) ).
cnf(s6,plain,
spl102_7,
inference(sat_conversion,[],[f11522]) ).
cnf(s7,plain,
spl102_8,
inference(sat_conversion,[],[f11523]) ).
cnf(s8,plain,
spl102_9,
inference(sat_conversion,[],[f11524]) ).
cnf(s9,plain,
spl102_10,
inference(sat_conversion,[],[f11525]) ).
cnf(s10,plain,
spl102_11,
inference(sat_conversion,[],[f11526]) ).
cnf(s11,plain,
~ spl102_12,
inference(sat_conversion,[],[f11527]) ).
cnf(s13,plain,
spl102_1,
inference(sat_conversion,[],[f11532]) ).
cnf(s29,plain,
( ~ spl102_1
| ~ spl102_2
| ~ spl102_4
| ~ spl102_5
| ~ spl102_7
| ~ spl102_8
| ~ spl102_9
| ~ spl102_10
| ~ spl102_11
| spl102_12
| ~ spl102_30
| ~ spl102_31
| ~ spl102_32
| ~ spl102_33
| ~ spl102_34
| ~ spl102_35
| spl102_36
| ~ spl102_37
| ~ spl102_38
| ~ spl102_41
| ~ spl102_60
| ~ spl102_61 ),
inference(sat_conversion,[],[f12341]) ).
cnf(s31,plain,
spl102_30,
inference(sat_conversion,[],[f12345]) ).
cnf(s33,plain,
spl102_31,
inference(sat_conversion,[],[f12349]) ).
cnf(s35,plain,
spl102_32,
inference(sat_conversion,[],[f12354]) ).
cnf(s37,plain,
spl102_33,
inference(sat_conversion,[],[f12359]) ).
cnf(s39,plain,
spl102_34,
inference(sat_conversion,[],[f12364]) ).
cnf(s41,plain,
spl102_35,
inference(sat_conversion,[],[f12369]) ).
cnf(s44,plain,
spl102_42,
inference(sat_conversion,[],[f12382]) ).
cnf(s48,plain,
spl102_43,
inference(sat_conversion,[],[f12404]) ).
cnf(s50,plain,
( ~ spl102_2
| ~ spl102_4
| ~ spl102_5
| ~ spl102_6
| ~ spl102_7
| ~ spl102_8
| ~ spl102_9
| ~ spl102_10
| ~ spl102_11
| spl102_12
| spl102_37 ),
inference(sat_conversion,[],[f12413]) ).
cnf(s64,plain,
~ spl102_36,
inference(sat_conversion,[],[f12500]) ).
cnf(s65,plain,
( ~ spl102_2
| ~ spl102_4
| ~ spl102_5
| ~ spl102_6
| ~ spl102_7
| ~ spl102_8
| ~ spl102_9
| ~ spl102_10
| ~ spl102_11
| spl102_12
| spl102_38 ),
inference(sat_conversion,[],[f12505]) ).
cnf(s82,plain,
spl102_73,
inference(sat_conversion,[],[f12607]) ).
cnf(s85,plain,
~ spl102_74,
inference(sat_conversion,[],[f12612]) ).
cnf(s207,plain,
( ~ spl102_1
| ~ spl102_2
| ~ spl102_4
| ~ spl102_5
| ~ spl102_6
| ~ spl102_7
| ~ spl102_8
| ~ spl102_9
| ~ spl102_10
| ~ spl102_11
| spl102_12
| ~ spl102_30
| ~ spl102_31
| ~ spl102_32
| ~ spl102_33
| ~ spl102_34
| ~ spl102_35
| spl102_36
| spl102_41
| ~ spl102_43
| ~ spl102_73
| spl102_74
| ~ spl102_172
| ~ spl102_173 ),
inference(sat_conversion,[],[f14042]) ).
cnf(s208,plain,
( ~ spl102_42
| ~ spl102_43
| spl102_173
| ~ spl102_174 ),
inference(sat_conversion,[],[f14051]) ).
cnf(s218,plain,
( spl102_174
| ~ spl102_176 ),
inference(sat_conversion,[],[f14080]) ).
cnf(s246,plain,
spl102_176,
inference(sat_conversion,[],[f14577]) ).
cnf(s256,plain,
spl102_172,
inference(sat_conversion,[],[f15013]) ).
cnf(s398,plain,
( ~ spl102_1
| ~ spl102_2
| ~ spl102_4
| ~ spl102_5
| ~ spl102_6
| ~ spl102_7
| ~ spl102_8
| ~ spl102_9
| ~ spl102_10
| ~ spl102_11
| spl102_12
| ~ spl102_30
| ~ spl102_31
| ~ spl102_32
| ~ spl102_33
| ~ spl102_34
| ~ spl102_35
| spl102_36
| ~ spl102_42
| spl102_61
| ~ spl102_73
| spl102_74
| ~ spl102_172
| ~ spl102_273 ),
inference(sat_conversion,[],[f18264]) ).
cnf(s419,plain,
( ~ spl102_2
| ~ spl102_4
| ~ spl102_5
| ~ spl102_6
| ~ spl102_7
| ~ spl102_8
| ~ spl102_9
| ~ spl102_10
| ~ spl102_11
| spl102_12
| spl102_60
| ~ spl102_172 ),
inference(sat_conversion,[],[f19230]) ).
cnf(s427,plain,
( ~ spl102_42
| ~ spl102_43
| spl102_273
| ~ spl102_289 ),
inference(sat_conversion,[],[f19268]) ).
cnf(s428,plain,
spl102_289,
inference(sat_conversion,[],[f19411]) ).
cnf(s433,plain,
( ~ spl102_42
| ~ spl102_43
| spl102_273 ),
inference(rat,[],[s427,s428]) ).
cnf(s442,plain,
spl102_174,
inference(rat,[],[s218,s246]) ).
cnf(s443,plain,
( ~ spl102_42
| ~ spl102_43
| spl102_173 ),
inference(rat,[],[s208,s442]) ).
cnf(s444,plain,
( ~ spl102_1
| ~ spl102_2
| ~ spl102_4
| ~ spl102_5
| ~ spl102_6
| ~ spl102_7
| ~ spl102_8
| ~ spl102_9
| ~ spl102_10
| ~ spl102_11
| spl102_12
| ~ spl102_30
| ~ spl102_31
| ~ spl102_32
| ~ spl102_33
| ~ spl102_34
| ~ spl102_35
| spl102_36
| spl102_41
| ~ spl102_43
| ~ spl102_73
| spl102_74
| ~ spl102_173 ),
inference(rat,[],[s207,s256]) ).
cnf(s463,plain,
spl102_273,
inference(rat,[],[s433,s48,s44]) ).
cnf(s465,plain,
spl102_173,
inference(rat,[],[s443,s48,s44]) ).
cnf(s467,plain,
( ~ spl102_1
| ~ spl102_2
| ~ spl102_4
| ~ spl102_5
| ~ spl102_7
| ~ spl102_8
| ~ spl102_9
| ~ spl102_10
| ~ spl102_11
| spl102_12
| ~ spl102_37
| ~ spl102_38
| ~ spl102_41
| ~ spl102_60
| ~ spl102_61 ),
inference(rat,[],[s29,s64,s41,s39,s37,s35,s33,s31]) ).
cnf(s470,plain,
spl102_60,
inference(rat,[],[s419,s256,s3,s11,s10,s9,s8,s7,s6,s5,s4,s2]) ).
cnf(s472,plain,
spl102_38,
inference(rat,[],[s65,s3,s11,s10,s9,s8,s7,s6,s5,s4,s2]) ).
cnf(s473,plain,
spl102_37,
inference(rat,[],[s50,s3,s11,s10,s9,s8,s7,s6,s5,s4,s2]) ).
cnf(s474,plain,
spl102_61,
inference(rat,[],[s398,s463,s256,s85,s82,s3,s44,s64,s41,s39,s37,s35,s33,s31,s11,s10,s9,s8,s7,s6,s5,s4,s13,s2]) ).
cnf(s475,plain,
spl102_41,
inference(rat,[],[s444,s465,s85,s82,s48,s3,s64,s41,s39,s37,s35,s33,s31,s11,s10,s9,s8,s7,s6,s5,s4,s13,s2]) ).
cnf(s476,plain,
$false,
inference(rat,[],[s467,s474,s470,s475,s472,s3,s11,s10,s9,s8,s7,s6,s4,s13,s473,s2]) ).
fof(f19420,plain,
$false,
inference(avatar_sat_refutation,[],[s476]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG222+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 19:43:53 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.13/3.30 % (3938038)Detected formulas, will run a generic FOF schedule.
% 16.13/3.30 % (3938043)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=302585047:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 16.13/3.30 % (3938047)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1340961764:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 16.13/3.30 % (3938046)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3624850158:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 16.13/3.30 % (3938045)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=374814669:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 16.13/3.30 % (3938044)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2245396906:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 16.13/3.30 % (3938048)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2328852675:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 16.13/3.30 % (3938049)dis-21_1_sil=8000:lcm=predicate:random_seed=295915342:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 16.13/3.30 % (3938046)Instruction limit reached!
% 16.13/3.30 % (3938046)------------------------------
% 16.13/3.30 % (3938046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.13/3.30 % (3938046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/3.30 % (3938046)CaDiCaL version: 2.1.3
% 16.13/3.30 % (3938046)Termination reason: Instruction limit
% 16.13/3.30 % (3938046)Termination phase: Saturation
% 16.13/3.30 % (3938046)Time elapsed: 0.071 s
% 16.13/3.30 % (3938046)Peak memory usage: 101 MB
% 16.13/3.30 % (3938046)Instructions burned: 109 (million)
% 16.13/3.30 % (3938048)Instruction limit reached!
% 16.13/3.30 % (3938048)------------------------------
% 16.13/3.30 % (3938048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.13/3.30 % (3938048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/3.30 % (3938048)CaDiCaL version: 2.1.3
% 16.13/3.30 % (3938048)Termination reason: Instruction limit
% 16.13/3.30 % (3938048)Termination phase: SInE selection
% 16.13/3.30 % (3938048)Time elapsed: 0.066 s
% 16.13/3.30 % (3938048)Peak memory usage: 97 MB
% 16.13/3.30 % (3938048)Instructions burned: 140 (million)
% 16.13/3.30 % (3938047)Instruction limit reached!
% 16.13/3.30 % (3938047)------------------------------
% 16.13/3.30 % (3938047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.13/3.30 % (3938047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/3.30 % (3938047)CaDiCaL version: 2.1.3
% 16.13/3.30 % (3938047)Termination reason: Instruction limit
% 16.13/3.30 % (3938047)Termination phase: Property scanning
% 16.13/3.30 % (3938047)Time elapsed: 0.090 s
% 16.13/3.30 % (3938047)Peak memory usage: 100 MB
% 16.13/3.30 % (3938047)Instructions burned: 119 (million)
% 16.13/3.30 % (3938049)Instruction limit reached!
% 16.13/3.30 % (3938049)------------------------------
% 16.13/3.30 % (3938049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.13/3.30 % (3938049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.13/3.30 % (3938049)CaDiCaL version: 2.1.3
% 16.13/3.30 % (3938049)Termination reason: Instruction limit
% 16.13/3.30 % (3938049)Termination phase: Unused predicate definition removal
% 16.13/3.30 % (3938049)Time elapsed: 0.094 s
% 16.13/3.30 % (3938049)Peak memory usage: 98 MB
% 16.13/3.30 % (3938049)Instructions burned: 129 (million)
% 16.13/3.30 % (3938058)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2306941653:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 16.13/3.30 % (3938057)lrs+10_1_sil=8000:sp=occurrence:random_seed=882798488:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 16.13/3.30 % (3938059)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1172874806:i=325:sd=1:ss=axioms:sgt=32_2992 on theBenchmark for (2992ds/325Mi)
% 16.13/3.30 % (3938060)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=924413900:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 22.46/4.30 % (3938058)Instruction limit reached!
% 22.46/4.30 % (3938058)------------------------------
% 22.46/4.30 % (3938058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/4.30 % (3938058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/4.30 % (3938058)CaDiCaL version: 2.1.3
% 22.46/4.30 % (3938058)Termination reason: Instruction limit
% 22.46/4.30 % (3938058)Termination phase: SInE selection
% 22.46/4.30 % (3938058)Time elapsed: 0.078 s
% 22.46/4.30 % (3938058)Peak memory usage: 97 MB
% 22.46/4.30 % (3938058)Instructions burned: 158 (million)
% 22.46/4.30 % (3938060)Instruction limit reached!
% 22.46/4.30 % (3938060)------------------------------
% 22.46/4.30 % (3938060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/4.30 % (3938060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/4.30 % (3938060)CaDiCaL version: 2.1.3
% 22.46/4.30 % (3938060)Termination reason: Instruction limit
% 22.46/4.30 % (3938060)Termination phase: Preprocessing 1
% 22.46/4.30 % (3938060)Time elapsed: 0.140 s
% 22.46/4.30 % (3938060)Peak memory usage: 98 MB
% 22.46/4.30 % (3938060)Instructions burned: 250 (million)
% 22.46/4.30 % (3938057)Instruction limit reached!
% 22.46/4.30 % (3938057)------------------------------
% 22.46/4.30 % (3938057)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/4.30 % (3938057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/4.30 % (3938057)CaDiCaL version: 2.1.3
% 22.46/4.30 % (3938057)Termination reason: Instruction limit
% 22.46/4.30 % (3938057)Termination phase: Saturation
% 22.46/4.30 % (3938057)Time elapsed: 0.186 s
% 22.46/4.30 % (3938057)Peak memory usage: 105 MB
% 22.46/4.30 % (3938057)Instructions burned: 286 (million)
% 22.46/4.30 % (3938059)Instruction limit reached!
% 22.46/4.30 % (3938059)------------------------------
% 22.46/4.30 % (3938059)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/4.30 % (3938059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/4.30 % (3938059)CaDiCaL version: 2.1.3
% 22.46/4.30 % (3938059)Termination reason: Instruction limit
% 22.46/4.30 % (3938059)Termination phase: Saturation
% 22.46/4.30 % (3938059)Time elapsed: 0.181 s
% 22.46/4.30 % (3938059)Peak memory usage: 103 MB
% 22.46/4.30 % (3938059)Instructions burned: 326 (million)
% 22.46/4.30 % (3938065)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2498601702:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2990 on theBenchmark for (2990ds/294Mi)
% 22.46/4.30 % (3938067)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3004238387:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 22.46/4.30 % (3938066)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3027407011:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 22.46/4.30 % (3938068)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2909835562:i=127:av=off:fsr=off:sup=off_2989 on theBenchmark for (2989ds/127Mi)
% 22.46/4.30 % (3938067)Instruction limit reached!
% 22.46/4.30 % (3938067)------------------------------
% 22.46/4.30 % (3938067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/4.30 % (3938067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/4.30 % (3938067)CaDiCaL version: 2.1.3
% 22.46/4.30 % (3938067)Termination reason: Instruction limit
% 22.46/4.30 % (3938067)Termination phase: Preprocessing 3
% 22.46/4.30 % (3938067)Time elapsed: 0.087 s
% 22.46/4.30 % (3938067)Peak memory usage: 100 MB
% 22.46/4.30 % (3938067)Instructions burned: 114 (million)
% 22.46/4.30 % (3938065)Instruction limit reached!
% 22.46/4.30 % (3938065)------------------------------
% 22.46/4.30 % (3938065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/4.30 % (3938065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/4.30 % (3938065)CaDiCaL version: 2.1.3
% 22.46/4.30 % (3938065)Termination reason: Instruction limit
% 22.46/4.30 % (3938065)Termination phase: Saturation
% 22.46/4.30 % (3938065)Time elapsed: 0.180 s
% 22.46/4.30 % (3938065)Peak memory usage: 105 MB
% 22.46/4.30 % (3938065)Instructions burned: 294 (million)
% 22.46/4.30 % (3938068)Instruction limit reached!
% 22.46/4.30 % (3938068)------------------------------
% 22.46/4.30 % (3938068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 22.46/4.30 % (3938068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 22.46/4.30 % (3938068)CaDiCaL version: 2.1.3
% 59.57/9.47 % (3938068)Termination reason: Instruction limit
% 59.57/9.47 % (3938068)Termination phase: Naming
% 59.57/9.47 % (3938068)Time elapsed: 0.104 s
% 59.57/9.47 % (3938068)Peak memory usage: 106 MB
% 59.57/9.47 % (3938068)Instructions burned: 128 (million)
% 59.57/9.47 % (3938074)lrs+10_1_sil=8000:sp=occurrence:random_seed=40833447:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2987 on theBenchmark for (2987ds/907Mi)
% 59.57/9.47 % (3938073)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2385947372:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 59.57/9.47 % (3938073)Instruction limit reached!
% 59.57/9.47 % (3938073)------------------------------
% 59.57/9.47 % (3938073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.57/9.47 % (3938073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.57/9.47 % (3938073)CaDiCaL version: 2.1.3
% 59.57/9.47 % (3938073)Termination reason: Instruction limit
% 59.57/9.47 % (3938073)Termination phase: Property scanning
% 59.57/9.47 % (3938073)Time elapsed: 0.049 s
% 59.57/9.47 % (3938073)Peak memory usage: 96 MB
% 59.57/9.47 % (3938073)Instructions burned: 115 (million)
% 59.57/9.47 % (3938075)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2278119591:i=437:sd=1:aac=none:ss=included_2986 on theBenchmark for (2986ds/437Mi)
% 59.57/9.47 % (3938078)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=196779207:i=5202:ss=axioms:sgt=16_2985 on theBenchmark for (2985ds/5202Mi)
% 59.57/9.47 % (3938075)Instruction limit reached!
% 59.57/9.47 % (3938075)------------------------------
% 59.57/9.47 % (3938075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.57/9.47 % (3938075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.57/9.47 % (3938075)CaDiCaL version: 2.1.3
% 59.57/9.47 % (3938075)Termination reason: Instruction limit
% 59.57/9.47 % (3938075)Termination phase: Saturation
% 59.57/9.47 % (3938075)Time elapsed: 0.241 s
% 59.57/9.47 % (3938075)Peak memory usage: 103 MB
% 59.57/9.47 % (3938075)Instructions burned: 439 (million)
% 59.57/9.47 % (3938081)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=953547817:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 59.57/9.47 % (3938074)Instruction limit reached!
% 59.57/9.47 % (3938074)------------------------------
% 59.57/9.47 % (3938074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.57/9.47 % (3938074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.57/9.47 % (3938074)CaDiCaL version: 2.1.3
% 59.57/9.47 % (3938074)Termination reason: Instruction limit
% 59.57/9.47 % (3938074)Termination phase: Saturation
% 59.57/9.47 % (3938074)Time elapsed: 0.519 s
% 59.57/9.47 % (3938074)Peak memory usage: 116 MB
% 59.57/9.47 % (3938074)Instructions burned: 908 (million)
% 59.57/9.47 % (3938081)Instruction limit reached!
% 59.57/9.47 % (3938081)------------------------------
% 59.57/9.47 % (3938081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.57/9.47 % (3938081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.57/9.47 % (3938081)CaDiCaL version: 2.1.3
% 59.57/9.47 % (3938081)Termination reason: Instruction limit
% 59.57/9.47 % (3938081)Termination phase: Saturation
% 59.57/9.47 % (3938081)Time elapsed: 0.094 s
% 59.57/9.47 % (3938081)Peak memory usage: 103 MB
% 59.57/9.47 % (3938081)Instructions burned: 134 (million)
% 59.57/9.47 % (3938083)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3542599532:st=8:i=592:sd=3:ep=RST:ss=axioms_2980 on theBenchmark for (2980ds/592Mi)
% 59.57/9.47 % (3938084)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=3531838141:st=3:i=13193:sd=3:ss=axioms_2980 on theBenchmark for (2980ds/13193Mi)
% 59.57/9.47 % (3938083)Instruction limit reached!
% 59.57/9.47 % (3938083)------------------------------
% 59.57/9.47 % (3938083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 59.57/9.47 % (3938083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 59.57/9.47 % (3938083)CaDiCaL version: 2.1.3
% 59.57/9.47 % (3938083)Termination reason: Instruction limit
% 59.57/9.47 % (3938083)Termination phase: Equality resolution with deletion
% 59.57/9.47 % (3938083)Time elapsed: 0.356 s
% 59.57/9.47 % (3938083)Peak memory usage: 114 MB
% 59.57/9.47 % (3938083)Instructions burned: 592 (million)
% 59.57/9.47 % (3938087)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=3517328541:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/125Mi)
% 81.41/12.57 % (3938087)Instruction limit reached!
% 81.41/12.57 % (3938087)------------------------------
% 81.41/12.57 % (3938087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.41/12.57 % (3938087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.41/12.57 % (3938087)CaDiCaL version: 2.1.3
% 81.41/12.57 % (3938087)Termination reason: Instruction limit
% 81.41/12.57 % (3938087)Termination phase: SInE selection
% 81.41/12.57 % (3938087)Time elapsed: 0.055 s
% 81.41/12.57 % (3938087)Peak memory usage: 97 MB
% 81.41/12.57 % (3938087)Instructions burned: 125 (million)
% 81.41/12.57 % (3938066)Instruction limit reached!
% 81.41/12.57 % (3938066)------------------------------
% 81.41/12.57 % (3938066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.41/12.57 % (3938066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.41/12.57 % (3938066)CaDiCaL version: 2.1.3
% 81.41/12.57 % (3938066)Termination reason: Instruction limit
% 81.41/12.57 % (3938066)Termination phase: Saturation
% 81.41/12.57 % (3938066)Time elapsed: 1.657 s
% 81.41/12.57 % (3938066)Peak memory usage: 338 MB
% 81.41/12.57 % (3938066)Instructions burned: 2350 (million)
% 81.41/12.57 % (3938089)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4246757554:i=134:gtgl=5:slsql=off:gtg=exists_sym_2973 on theBenchmark for (2973ds/134Mi)
% 81.41/12.57 % (3938089)Instruction limit reached!
% 81.41/12.57 % (3938089)------------------------------
% 81.41/12.57 % (3938089)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.41/12.57 % (3938089)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.41/12.57 % (3938089)CaDiCaL version: 2.1.3
% 81.41/12.57 % (3938089)Termination reason: Instruction limit
% 81.41/12.57 % (3938089)Termination phase: Initialization
% 81.41/12.57 % (3938089)Time elapsed: 0.061 s
% 81.41/12.57 % (3938089)Peak memory usage: 97 MB
% 81.41/12.57 % (3938089)Instructions burned: 135 (million)
% 81.41/12.57 % (3938090)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1023457318:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/141Mi)
% 81.41/12.57 % (3938092)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2569025280:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2970 on theBenchmark for (2970ds/431Mi)
% 81.41/12.57 % (3938090)Instruction limit reached!
% 81.41/12.57 % (3938090)------------------------------
% 81.41/12.57 % (3938090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.41/12.57 % (3938090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.41/12.57 % (3938090)CaDiCaL version: 2.1.3
% 81.41/12.57 % (3938090)Termination reason: Instruction limit
% 81.41/12.57 % (3938090)Termination phase: Saturation
% 81.41/12.57 % (3938090)Time elapsed: 0.088 s
% 81.41/12.57 % (3938090)Peak memory usage: 102 MB
% 81.41/12.57 % (3938090)Instructions burned: 144 (million)
% 81.41/12.57 % (3938095)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3056655983:i=6060:aac=none:ins=25_2969 on theBenchmark for (2969ds/6060Mi)
% 81.41/12.57 % (3938092)Instruction limit reached!
% 81.41/12.57 % (3938092)------------------------------
% 81.41/12.57 % (3938092)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.41/12.57 % (3938092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.41/12.57 % (3938092)CaDiCaL version: 2.1.3
% 81.41/12.57 % (3938092)Termination reason: Instruction limit
% 81.41/12.57 % (3938092)Termination phase: Saturation
% 81.41/12.57 % (3938092)Time elapsed: 0.259 s
% 81.41/12.57 % (3938092)Peak memory usage: 107 MB
% 81.41/12.57 % (3938092)Instructions burned: 431 (million)
% 81.41/12.57 % (3938097)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=4243872357:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2966 on theBenchmark for (2966ds/150Mi)
% 81.41/12.57 % (3938097)Instruction limit reached!
% 81.41/12.57 % (3938097)------------------------------
% 81.41/12.57 % (3938097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 81.41/12.57 % (3938097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 81.41/12.57 % (3938097)CaDiCaL version: 2.1.3
% 81.41/12.57 % (3938097)Termination reason: Instruction limit
% 43.01/13.62 % (3938097)Termination phase: Preprocessing 2
% 43.01/13.62 % (3938097)Time elapsed: 0.115 s
% 43.01/13.62 % (3938097)Peak memory usage: 102 MB
% 43.01/13.62 % (3938097)Instructions burned: 150 (million)
% 43.01/13.62 % (3938099)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3901771494:i=14155:bd=all_2963 on theBenchmark for (2963ds/14155Mi)
% 43.01/13.62 % (3938078)Instruction limit reached!
% 43.01/13.62 % (3938078)------------------------------
% 43.01/13.62 % (3938078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.01/13.62 % (3938078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.01/13.62 % (3938078)CaDiCaL version: 2.1.3
% 43.01/13.62 % (3938078)Termination reason: Instruction limit
% 43.01/13.62 % (3938078)Termination phase: Saturation
% 43.01/13.62 % (3938078)Time elapsed: 3.380 s
% 43.01/13.62 % (3938078)Peak memory usage: 335 MB
% 43.01/13.62 % (3938078)Instructions burned: 5204 (million)
% 43.01/13.62 % (3938101)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=1325538575:i=667:av=off:fsr=off_2949 on theBenchmark for (2949ds/667Mi)
% 43.01/13.62 % (3938101)Instruction limit reached!
% 43.01/13.62 % (3938101)------------------------------
% 43.01/13.62 % (3938101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.01/13.62 % (3938101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.01/13.62 % (3938101)CaDiCaL version: 2.1.3
% 43.01/13.62 % (3938101)Termination reason: Instruction limit
% 43.01/13.62 % (3938101)Termination phase: Property scanning
% 43.01/13.62 % (3938101)Time elapsed: 0.451 s
% 43.01/13.62 % (3938101)Peak memory usage: 121 MB
% 43.01/13.62 % (3938101)Instructions burned: 668 (million)
% 43.01/13.62 % (3938103)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3075797294:s2a=on:i=185:s2at=1.8:fdi=4_2943 on theBenchmark for (2943ds/185Mi)
% 43.01/13.62 % (3938103)Instruction limit reached!
% 43.01/13.62 % (3938103)------------------------------
% 43.01/13.62 % (3938103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.01/13.62 % (3938103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.01/13.62 % (3938103)CaDiCaL version: 2.1.3
% 43.01/13.62 % (3938103)Termination reason: Instruction limit
% 43.01/13.62 % (3938103)Termination phase: Preprocessing 2
% 43.01/13.62 % (3938103)Time elapsed: 0.150 s
% 43.01/13.62 % (3938103)Peak memory usage: 104 MB
% 43.01/13.62 % (3938103)Instructions burned: 185 (million)
% 43.01/13.62 % (3938105)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=2654797805:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2939 on theBenchmark for (2939ds/193Mi)
% 43.01/13.62 % (3938105)Instruction limit reached!
% 43.01/13.62 % (3938105)------------------------------
% 43.01/13.62 % (3938105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.01/13.62 % (3938105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.01/13.62 % (3938105)CaDiCaL version: 2.1.3
% 43.01/13.62 % (3938105)Termination reason: Instruction limit
% 43.01/13.62 % (3938105)Termination phase: Property scanning
% 43.01/13.62 % (3938105)Time elapsed: 0.149 s
% 43.01/13.62 % (3938105)Peak memory usage: 101 MB
% 43.01/13.62 % (3938105)Instructions burned: 194 (million)
% 43.01/13.62 % (3938107)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1505372705:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2936 on theBenchmark for (2936ds/4850Mi)
% 43.01/13.62 % (3938095)Instruction limit reached!
% 43.01/13.62 % (3938095)------------------------------
% 43.01/13.62 % (3938095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.01/13.62 % (3938095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.01/13.62 % (3938095)CaDiCaL version: 2.1.3
% 43.01/13.62 % (3938095)Termination reason: Instruction limit
% 43.01/13.62 % (3938095)Termination phase: Saturation
% 43.01/13.62 % (3938095)Time elapsed: 4.227 s
% 43.01/13.62 % (3938095)Peak memory usage: 401 MB
% 43.01/13.62 % (3938095)Instructions burned: 6060 (million)
% 43.01/13.62 % (3938109)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1685995169:i=12111:sd=1:ss=included_2924 on theBenchmark for (2924ds/12111Mi)
% 43.01/13.62 % (3938107)Instruction limit reached!
% 43.01/13.62 % (3938107)------------------------------
% 43.01/13.62 % (3938107)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.01/13.62 % (3938107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.01/13.62 % (3938107)CaDiCaL version: 2.1.3
% 43.01/13.62 % (3938107)Termination reason: Instruction limit
% 43.01/13.62 % (3938107)Termination phase: Saturation
% 43.01/13.62 % (3938107)Time elapsed: 2.272 s
% 43.01/13.62 % (3938107)Peak memory usage: 143 MB
% 43.01/13.62 % (3938107)Instructions burned: 4851 (million)
% 43.01/13.62 % (3938111)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=335275855:i=319:kws=precedence:fsr=off_2911 on theBenchmark for (2911ds/319Mi)
% 43.01/13.62 % (3938111)Instruction limit reached!
% 43.01/13.62 % (3938111)------------------------------
% 43.01/13.62 % (3938111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.01/13.62 % (3938111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.01/13.62 % (3938111)CaDiCaL version: 2.1.3
% 43.01/13.62 % (3938111)Termination reason: Instruction limit
% 43.01/13.62 % (3938111)Termination phase: Preprocessing 3
% 43.01/13.62 % (3938111)Time elapsed: 0.211 s
% 43.01/13.62 % (3938111)Peak memory usage: 114 MB
% 43.01/13.62 % (3938111)Instructions burned: 320 (million)
% 43.01/13.62 % (3938113)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=4069458735:i=2064:ep=RST_2908 on theBenchmark for (2908ds/2064Mi)
% 43.01/13.62 % (3938084)Instruction limit reached!
% 43.01/13.62 % (3938084)------------------------------
% 43.01/13.62 % (3938084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.01/13.62 % (3938084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.01/13.62 % (3938084)CaDiCaL version: 2.1.3
% 43.01/13.62 % (3938084)Termination reason: Instruction limit
% 43.01/13.62 % (3938084)Termination phase: Saturation
% 43.01/13.62 % (3938084)Time elapsed: 7.273 s
% 43.01/13.62 % (3938084)Peak memory usage: 233 MB
% 43.01/13.62 % (3938084)Instructions burned: 13194 (million)
% 43.01/13.62 % (3938115)dis-1011_128_sil=32000:random_seed=416194279:i=3706:ep=RST:av=off_2905 on theBenchmark for (2905ds/3706Mi)
% 43.01/13.62 % (3938113)Instruction limit reached!
% 43.01/13.62 % (3938113)------------------------------
% 43.01/13.62 % (3938113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.01/13.62 % (3938113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.01/13.62 % (3938113)CaDiCaL version: 2.1.3
% 43.01/13.62 % (3938113)Termination reason: Instruction limit
% 43.01/13.62 % (3938113)Termination phase: Saturation
% 43.01/13.62 % (3938113)Time elapsed: 1.019 s
% 43.01/13.62 % (3938113)Peak memory usage: 151 MB
% 43.01/13.62 % (3938113)Instructions burned: 2066 (million)
% 43.01/13.62 % (3938117)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=290513423:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2896 on theBenchmark for (2896ds/757Mi)
% 43.01/13.62 % (3938117)Instruction limit reached!
% 43.01/13.62 % (3938117)------------------------------
% 43.01/13.62 % (3938117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.01/13.62 % (3938117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.01/13.62 % (3938117)CaDiCaL version: 2.1.3
% 43.01/13.62 % (3938117)Termination reason: Instruction limit
% 43.01/13.62 % (3938117)Termination phase: Saturation
% 43.01/13.62 % (3938117)Time elapsed: 0.504 s
% 43.01/13.62 % (3938117)Peak memory usage: 109 MB
% 43.01/13.62 % (3938117)Instructions burned: 757 (million)
% 43.01/13.62 % (3938119)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1676114791:i=13913:ss=axioms:sgt=8_2889 on theBenchmark for (2889ds/13913Mi)
% 43.01/13.62 % (3938115)Instruction limit reached!
% 43.01/13.62 % (3938115)------------------------------
% 43.01/13.62 % (3938115)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.01/13.62 % (3938115)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.01/13.62 % (3938115)CaDiCaL version: 2.1.3
% 43.01/13.62 % (3938115)Termination reason: Instruction limit
% 43.01/13.62 % (3938115)Termination phase: Saturation
% 43.01/13.62 % (3938115)Time elapsed: 2.027 s
% 43.01/13.62 % (3938115)Peak memory usage: 148 MB
% 43.01/13.62 % (3938115)Instructions burned: 3706 (million)
% 43.01/13.62 % (3938121)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3326990900:i=9925:aac=none_2883 on theBenchmark for (2883ds/9925Mi)
% 43.01/13.62 % (3938099)Instruction limit reached!
% 43.01/13.62 % (3938099)------------------------------
% 43.01/13.62 % (3938099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.01/13.62 % (3938099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.01/13.62 % (3938099)CaDiCaL version: 2.1.3
% 43.01/13.62 % (3938099)Termination reason: Instruction limit
% 43.01/13.62 % (3938099)Termination phase: Saturation
% 43.01/13.62 % (3938099)Time elapsed: 8.109 s
% 43.01/13.62 % (3938099)Peak memory usage: 442 MB
% 43.01/13.62 % (3938099)Instructions burned: 14156 (million)
% 43.01/13.62 % (3938123)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=2076791931:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2880 on theBenchmark for (2880ds/2479Mi)
% 43.01/13.62 % (3938123)First to succeed.
% 43.01/13.62 % (3938123)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3938038"
% 43.01/13.62 % (3938123)Refutation found. Thanks to Tanya!
% 43.01/13.62 % SZS status Theorem for theBenchmark
% 43.01/13.62 % SZS output start Proof for theBenchmark
% See solution above
% 89.68/13.86 % (3938123)------------------------------
% 89.68/13.86 % (3938123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 89.68/13.86 % (3938123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 89.68/13.86 % (3938123)CaDiCaL version: 2.1.3
% 89.68/13.86 % (3938123)Termination reason: Refutation
% 89.68/13.86 % (3938123)Time elapsed: 0.535 s
% 89.68/13.86 % (3938123)Peak memory usage: 108 MB
% 89.68/13.86 % (3938123)Instructions burned: 883 (million)
% 89.68/13.86 % (3938123)------------------------------
% 89.68/13.86 % (3938123)------------------------------
% 89.68/13.86 % (3938038)Success in time 12.948 s
% 89.68/13.86 % Vampire exiting
%------------------------------------------------------------------------------