%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG222+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 09:19:25 AM UTC 2026
% Result : Theorem 45.89s 12.93s
% Output : Refutation 86.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 46
% Syntax : Number of formulae : 242 ( 93 unt; 32 def)
% Number of atoms : 1126 ( 4 equ)
% Maximal formula atoms : 24 ( 4 avg)
% Number of connectives : 1505 ( 621 ~; 662 |; 164 &)
% ( 33 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 54 ( 52 usr; 33 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-4 aty)
% Number of variables : 147 ( 1 sgn 139 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f70,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,X1)
& r1_tarski(X1,X2) )
=> r1_tarski(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_xboole_1) ).
fof(f76,axiom,
! [X0,X1] : r1_tarski(X0,k2_xboole_0(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_xboole_1) ).
fof(f87,axiom,
! [X0,X1,X2] :
( r1_tarski(X0,k3_xboole_0(X1,X2))
=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t18_xboole_1) ).
fof(f100,axiom,
! [X0,X1,X2] : r1_tarski(k2_xboole_0(k3_xboole_0(X0,X1),k3_xboole_0(X0,X2)),k2_xboole_0(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t31_xboole_1) ).
fof(f134,axiom,
! [X0] : r1_xboole_0(X0,k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_xboole_1) ).
fof(f142,axiom,
! [X0,X1,X2] :
( ( r1_tarski(X0,k2_xboole_0(X1,X2))
& r1_xboole_0(X0,X2) )
=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t73_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/sandbox/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/sandbox/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f583,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f3273,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/sandbox/benchmark/theBenchmark.p',t24_rmod_3) ).
fof(f3442,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/sandbox/benchmark/theBenchmark.p',dt_k1_rmod_5) ).
fof(f3459,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/sandbox/benchmark/theBenchmark.p',t15_rmod_5) ).
fof(f3462,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/sandbox/benchmark/theBenchmark.p',t18_rmod_5) ).
fof(f3463,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)],[f3462]) ).
fof(f3466,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f18]) ).
fof(f3498,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,[],[f3463]) ).
fof(f3499,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,[],[f3498]) ).
fof(f3515,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(f3516,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,[],[f3515]) ).
fof(f3521,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(f3522,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,[],[f3521]) ).
fof(f3570,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,[],[f3273]) ).
fof(f3571,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,[],[f3570]) ).
fof(f3594,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,[],[f3459]) ).
fof(f3595,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,[],[f3594]) ).
fof(f3604,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,[],[f3442]) ).
fof(f3605,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,[],[f3604]) ).
fof(f3617,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(ennf_transformation,[],[f70]) ).
fof(f3618,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(flattening,[],[f3617]) ).
fof(f3649,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2))
| ~ r1_xboole_0(X0,X2) ),
inference(ennf_transformation,[],[f142]) ).
fof(f3650,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k2_xboole_0(X1,X2))
| ~ r1_xboole_0(X0,X2) ),
inference(flattening,[],[f3649]) ).
fof(f3727,plain,
! [X0,X1,X2] :
( r1_tarski(X0,X1)
| ~ r1_tarski(X0,k3_xboole_0(X1,X2)) ),
inference(ennf_transformation,[],[f87]) ).
fof(f3897,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,k2_rmod_3(sK5,sK6,k1_rmod_5(sK5,sK6,sK7),k1_rmod_5(sK5,sK6,sK8)))
& m1_subset_1(sK8,k1_zfmisc_1(u1_struct_0(sK6)))
& m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
& ~ v3_struct_0(sK6)
& v3_rlvect_1(sK6)
& v4_rlvect_1(sK6)
& v5_rlvect_1(sK6)
& v6_rlvect_1(sK6)
& v5_vectsp_2(sK6,sK5)
& l1_vectsp_2(sK6,sK5)
& ~ v3_struct_0(sK5)
& v3_rlvect_1(sK5)
& v4_rlvect_1(sK5)
& v5_rlvect_1(sK5)
& v6_rlvect_1(sK5)
& v4_group_1(sK5)
& v7_group_1(sK5)
& v6_vectsp_1(sK5)
& v7_vectsp_1(sK5)
& v8_vectsp_1(sK5)
& ~ v10_vectsp_1(sK5)
& v2_vectsp_2(sK5)
& l3_vectsp_1(sK5) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7,sK8]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7),skolemize(X3,sK8)],[f3499]) ).
fof(f3899,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,[],[f583]) ).
fof(f4028,plain,
l3_vectsp_1(sK5),
inference(cnf_transformation,[],[f3897]) ).
fof(f4029,plain,
v2_vectsp_2(sK5),
inference(cnf_transformation,[],[f3897]) ).
fof(f4030,plain,
~ v10_vectsp_1(sK5),
inference(cnf_transformation,[],[f3897]) ).
fof(f4031,plain,
v8_vectsp_1(sK5),
inference(cnf_transformation,[],[f3897]) ).
fof(f4032,plain,
v7_vectsp_1(sK5),
inference(cnf_transformation,[],[f3897]) ).
fof(f4033,plain,
v6_vectsp_1(sK5),
inference(cnf_transformation,[],[f3897]) ).
fof(f4034,plain,
v7_group_1(sK5),
inference(cnf_transformation,[],[f3897]) ).
fof(f4035,plain,
v4_group_1(sK5),
inference(cnf_transformation,[],[f3897]) ).
fof(f4036,plain,
v6_rlvect_1(sK5),
inference(cnf_transformation,[],[f3897]) ).
fof(f4037,plain,
v5_rlvect_1(sK5),
inference(cnf_transformation,[],[f3897]) ).
fof(f4038,plain,
v4_rlvect_1(sK5),
inference(cnf_transformation,[],[f3897]) ).
fof(f4039,plain,
v3_rlvect_1(sK5),
inference(cnf_transformation,[],[f3897]) ).
fof(f4040,plain,
~ v3_struct_0(sK5),
inference(cnf_transformation,[],[f3897]) ).
fof(f4041,plain,
l1_vectsp_2(sK6,sK5),
inference(cnf_transformation,[],[f3897]) ).
fof(f4042,plain,
v5_vectsp_2(sK6,sK5),
inference(cnf_transformation,[],[f3897]) ).
fof(f4043,plain,
v6_rlvect_1(sK6),
inference(cnf_transformation,[],[f3897]) ).
fof(f4044,plain,
v5_rlvect_1(sK6),
inference(cnf_transformation,[],[f3897]) ).
fof(f4045,plain,
v4_rlvect_1(sK6),
inference(cnf_transformation,[],[f3897]) ).
fof(f4046,plain,
v3_rlvect_1(sK6),
inference(cnf_transformation,[],[f3897]) ).
fof(f4047,plain,
~ v3_struct_0(sK6),
inference(cnf_transformation,[],[f3897]) ).
fof(f4048,plain,
m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6))),
inference(cnf_transformation,[],[f3897]) ).
fof(f4049,plain,
m1_subset_1(sK8,k1_zfmisc_1(u1_struct_0(sK6))),
inference(cnf_transformation,[],[f3897]) ).
fof(f4050,plain,
~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,k2_rmod_3(sK5,sK6,k1_rmod_5(sK5,sK6,sK7),k1_rmod_5(sK5,sK6,sK8))),
inference(cnf_transformation,[],[f3897]) ).
fof(f4053,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f3899]) ).
fof(f4054,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f3899]) ).
fof(f4074,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,[],[f3516]) ).
fof(f4077,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,[],[f3522]) ).
fof(f4138,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,[],[f3571]) ).
fof(f4155,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,[],[f3595]) ).
fof(f4162,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,[],[f3605]) ).
fof(f4176,plain,
! [X2,X0,X1] :
( r1_tarski(X0,X2)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X2) ),
inference(cnf_transformation,[],[f3618]) ).
fof(f4180,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f3466]) ).
fof(f4224,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k2_xboole_0(X1,X2))
| r1_tarski(X0,X1)
| ~ r1_xboole_0(X0,X2) ),
inference(cnf_transformation,[],[f3650]) ).
fof(f4235,plain,
! [X0] : r1_xboole_0(X0,k1_xboole_0),
inference(cnf_transformation,[],[f134]) ).
fof(f4305,plain,
! [X2,X0,X1] : r1_tarski(k2_xboole_0(k3_xboole_0(X0,X1),k3_xboole_0(X0,X2)),k2_xboole_0(X1,X2)),
inference(cnf_transformation,[],[f100]) ).
fof(f4320,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X0,k3_xboole_0(X1,X2))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f3727]) ).
fof(f4468,plain,
! [X0,X1] : r1_tarski(X0,k2_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f76]) ).
fof(f4599,definition,
( spl83_1
<=> l3_vectsp_1(sK5) ),
introduced(definition,[new_symbols(definition,[spl83_1])],[avatar_definition]) ).
fof(f4601,plain,
( ~ l3_vectsp_1(sK5)
| spl83_1 ),
inference(avatar_component_clause,[],[f4599]) ).
fof(f4603,definition,
( spl83_2
<=> v6_vectsp_1(sK5) ),
introduced(definition,[new_symbols(definition,[spl83_2])],[avatar_definition]) ).
fof(f4605,plain,
( v6_vectsp_1(sK5)
| ~ spl83_2 ),
inference(avatar_component_clause,[],[f4603]) ).
fof(f4611,definition,
( spl83_4
<=> v8_vectsp_1(sK5) ),
introduced(definition,[new_symbols(definition,[spl83_4])],[avatar_definition]) ).
fof(f4612,plain,
( v8_vectsp_1(sK5)
| ~ spl83_4 ),
inference(avatar_component_clause,[],[f4611]) ).
fof(f4615,definition,
( spl83_5
<=> v7_vectsp_1(sK5) ),
introduced(definition,[new_symbols(definition,[spl83_5])],[avatar_definition]) ).
fof(f4616,plain,
( v7_vectsp_1(sK5)
| ~ spl83_5 ),
inference(avatar_component_clause,[],[f4615]) ).
fof(f4619,definition,
( spl83_6
<=> v7_group_1(sK5) ),
introduced(definition,[new_symbols(definition,[spl83_6])],[avatar_definition]) ).
fof(f4620,plain,
( v7_group_1(sK5)
| ~ spl83_6 ),
inference(avatar_component_clause,[],[f4619]) ).
fof(f4623,definition,
( spl83_7
<=> v4_group_1(sK5) ),
introduced(definition,[new_symbols(definition,[spl83_7])],[avatar_definition]) ).
fof(f4624,plain,
( v4_group_1(sK5)
| ~ spl83_7 ),
inference(avatar_component_clause,[],[f4623]) ).
fof(f4627,definition,
( spl83_8
<=> v6_rlvect_1(sK5) ),
introduced(definition,[new_symbols(definition,[spl83_8])],[avatar_definition]) ).
fof(f4628,plain,
( v6_rlvect_1(sK5)
| ~ spl83_8 ),
inference(avatar_component_clause,[],[f4627]) ).
fof(f4631,definition,
( spl83_9
<=> v5_rlvect_1(sK5) ),
introduced(definition,[new_symbols(definition,[spl83_9])],[avatar_definition]) ).
fof(f4632,plain,
( v5_rlvect_1(sK5)
| ~ spl83_9 ),
inference(avatar_component_clause,[],[f4631]) ).
fof(f4635,definition,
( spl83_10
<=> v4_rlvect_1(sK5) ),
introduced(definition,[new_symbols(definition,[spl83_10])],[avatar_definition]) ).
fof(f4636,plain,
( v4_rlvect_1(sK5)
| ~ spl83_10 ),
inference(avatar_component_clause,[],[f4635]) ).
fof(f4639,definition,
( spl83_11
<=> v3_rlvect_1(sK5) ),
introduced(definition,[new_symbols(definition,[spl83_11])],[avatar_definition]) ).
fof(f4640,plain,
( v3_rlvect_1(sK5)
| ~ spl83_11 ),
inference(avatar_component_clause,[],[f4639]) ).
fof(f4643,definition,
( spl83_12
<=> v3_struct_0(sK5) ),
introduced(definition,[new_symbols(definition,[spl83_12])],[avatar_definition]) ).
fof(f4644,plain,
( ~ v3_struct_0(sK5)
| spl83_12 ),
inference(avatar_component_clause,[],[f4643]) ).
fof(f4647,plain,
spl83_4,
inference(avatar_split_clause,[],[f4031,f4611]) ).
fof(f4648,plain,
spl83_5,
inference(avatar_split_clause,[],[f4032,f4615]) ).
fof(f4649,plain,
spl83_2,
inference(avatar_split_clause,[],[f4033,f4603]) ).
fof(f4650,plain,
spl83_6,
inference(avatar_split_clause,[],[f4034,f4619]) ).
fof(f4651,plain,
spl83_7,
inference(avatar_split_clause,[],[f4035,f4623]) ).
fof(f4652,plain,
spl83_8,
inference(avatar_split_clause,[],[f4036,f4627]) ).
fof(f4653,plain,
spl83_9,
inference(avatar_split_clause,[],[f4037,f4631]) ).
fof(f4654,plain,
spl83_10,
inference(avatar_split_clause,[],[f4038,f4635]) ).
fof(f4655,plain,
spl83_11,
inference(avatar_split_clause,[],[f4039,f4639]) ).
fof(f4656,plain,
~ spl83_12,
inference(avatar_split_clause,[],[f4040,f4643]) ).
fof(f4657,plain,
( $false
| spl83_1 ),
inference(unit_resulting_resolution,[],[f4601,f4028]) ).
fof(f4662,plain,
spl83_1,
inference(avatar_contradiction_clause,[],[f4657]) ).
fof(f4672,plain,
r1_tarski(sK7,u1_struct_0(sK6)),
inference(resolution,[],[f4048,f4053]) ).
fof(f4697,plain,
r1_tarski(sK8,u1_struct_0(sK6)),
inference(resolution,[],[f4049,f4053]) ).
fof(f5350,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK7))
| ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK8))
| ~ m1_rmod_2(k1_rmod_5(sK5,sK6,sK8),sK5,sK6)
| ~ m1_rmod_2(k1_rmod_5(sK5,sK6,sK7),sK5,sK6)
| ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,sK6)
| v3_struct_0(sK6)
| ~ v3_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v6_rlvect_1(sK6)
| ~ v5_vectsp_2(sK6,sK5)
| ~ l1_vectsp_2(sK6,sK5)
| v3_struct_0(sK5)
| ~ v3_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v4_group_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| ~ l3_vectsp_1(sK5) ),
inference(resolution,[],[f4050,f4138]) ).
fof(f5355,definition,
( spl83_23
<=> l1_vectsp_2(sK6,sK5) ),
introduced(definition,[new_symbols(definition,[spl83_23])],[avatar_definition]) ).
fof(f5357,plain,
( ~ l1_vectsp_2(sK6,sK5)
| spl83_23 ),
inference(avatar_component_clause,[],[f5355]) ).
fof(f5359,definition,
( spl83_24
<=> v5_vectsp_2(sK6,sK5) ),
introduced(definition,[new_symbols(definition,[spl83_24])],[avatar_definition]) ).
fof(f5361,plain,
( ~ v5_vectsp_2(sK6,sK5)
| spl83_24 ),
inference(avatar_component_clause,[],[f5359]) ).
fof(f5363,definition,
( spl83_25
<=> v6_rlvect_1(sK6) ),
introduced(definition,[new_symbols(definition,[spl83_25])],[avatar_definition]) ).
fof(f5365,plain,
( ~ v6_rlvect_1(sK6)
| spl83_25 ),
inference(avatar_component_clause,[],[f5363]) ).
fof(f5367,definition,
( spl83_26
<=> v5_rlvect_1(sK6) ),
introduced(definition,[new_symbols(definition,[spl83_26])],[avatar_definition]) ).
fof(f5369,plain,
( ~ v5_rlvect_1(sK6)
| spl83_26 ),
inference(avatar_component_clause,[],[f5367]) ).
fof(f5371,definition,
( spl83_27
<=> v4_rlvect_1(sK6) ),
introduced(definition,[new_symbols(definition,[spl83_27])],[avatar_definition]) ).
fof(f5373,plain,
( ~ v4_rlvect_1(sK6)
| spl83_27 ),
inference(avatar_component_clause,[],[f5371]) ).
fof(f5375,definition,
( spl83_28
<=> v3_rlvect_1(sK6) ),
introduced(definition,[new_symbols(definition,[spl83_28])],[avatar_definition]) ).
fof(f5377,plain,
( ~ v3_rlvect_1(sK6)
| spl83_28 ),
inference(avatar_component_clause,[],[f5375]) ).
fof(f5379,definition,
( spl83_29
<=> v3_struct_0(sK6) ),
introduced(definition,[new_symbols(definition,[spl83_29])],[avatar_definition]) ).
fof(f5381,plain,
( v3_struct_0(sK6)
| ~ spl83_29 ),
inference(avatar_component_clause,[],[f5379]) ).
fof(f5383,definition,
( spl83_30
<=> m1_rmod_2(k1_rmod_5(sK5,sK6,sK8),sK5,sK6) ),
introduced(definition,[new_symbols(definition,[spl83_30])],[avatar_definition]) ).
fof(f5385,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,sK8),sK5,sK6)
| spl83_30 ),
inference(avatar_component_clause,[],[f5383]) ).
fof(f5387,definition,
( spl83_31
<=> m1_rmod_2(k1_rmod_5(sK5,sK6,sK7),sK5,sK6) ),
introduced(definition,[new_symbols(definition,[spl83_31])],[avatar_definition]) ).
fof(f5389,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,sK7),sK5,sK6)
| spl83_31 ),
inference(avatar_component_clause,[],[f5387]) ).
fof(f5399,definition,
( spl83_34
<=> m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK7)) ),
introduced(definition,[new_symbols(definition,[spl83_34])],[avatar_definition]) ).
fof(f5401,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK7))
| spl83_34 ),
inference(avatar_component_clause,[],[f5399]) ).
fof(f5404,definition,
( spl83_35
<=> m1_subset_1(sK8,k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(definition,[new_symbols(definition,[spl83_35])],[avatar_definition]) ).
fof(f5406,plain,
( ~ m1_subset_1(sK8,k1_zfmisc_1(u1_struct_0(sK6)))
| spl83_35 ),
inference(avatar_component_clause,[],[f5404]) ).
fof(f5408,definition,
( spl83_36
<=> m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(definition,[new_symbols(definition,[spl83_36])],[avatar_definition]) ).
fof(f5410,plain,
( ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| spl83_36 ),
inference(avatar_component_clause,[],[f5408]) ).
fof(f5477,definition,
( spl83_53
<=> m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,sK6) ),
introduced(definition,[new_symbols(definition,[spl83_53])],[avatar_definition]) ).
fof(f5479,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,sK6)
| spl83_53 ),
inference(avatar_component_clause,[],[f5477]) ).
fof(f5481,definition,
( spl83_54
<=> m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK8)) ),
introduced(definition,[new_symbols(definition,[spl83_54])],[avatar_definition]) ).
fof(f5483,plain,
( ~ m1_rmod_2(k1_rmod_5(sK5,sK6,k5_subset_1(u1_struct_0(sK6),sK7,sK8)),sK5,k1_rmod_5(sK5,sK6,sK8))
| spl83_54 ),
inference(avatar_component_clause,[],[f5481]) ).
fof(f5484,plain,
( ~ spl83_1
| ~ spl83_4
| ~ spl83_5
| ~ spl83_2
| ~ spl83_7
| ~ spl83_8
| ~ spl83_9
| ~ spl83_10
| ~ spl83_11
| spl83_12
| ~ spl83_23
| ~ spl83_24
| ~ spl83_25
| ~ spl83_26
| ~ spl83_27
| ~ spl83_28
| spl83_29
| ~ spl83_53
| ~ spl83_31
| ~ spl83_30
| ~ spl83_54
| ~ spl83_34 ),
inference(avatar_split_clause,[],[f5350,f5399,f5481,f5383,f5387,f5477,f5379,f5375,f5371,f5367,f5363,f5359,f5355,f4643,f4639,f4635,f4631,f4627,f4623,f4603,f4615,f4611,f4599]) ).
fof(f5485,plain,
( $false
| spl83_23 ),
inference(unit_resulting_resolution,[],[f5357,f4041]) ).
fof(f5488,plain,
spl83_23,
inference(avatar_contradiction_clause,[],[f5485]) ).
fof(f5489,plain,
( $false
| spl83_24 ),
inference(unit_resulting_resolution,[],[f5361,f4042]) ).
fof(f5492,plain,
spl83_24,
inference(avatar_contradiction_clause,[],[f5489]) ).
fof(f5493,plain,
( $false
| spl83_25 ),
inference(unit_resulting_resolution,[],[f5365,f4043]) ).
fof(f5497,plain,
spl83_25,
inference(avatar_contradiction_clause,[],[f5493]) ).
fof(f5498,plain,
( $false
| spl83_26 ),
inference(unit_resulting_resolution,[],[f5369,f4044]) ).
fof(f5502,plain,
spl83_26,
inference(avatar_contradiction_clause,[],[f5498]) ).
fof(f5503,plain,
( $false
| spl83_27 ),
inference(unit_resulting_resolution,[],[f5373,f4045]) ).
fof(f5507,plain,
spl83_27,
inference(avatar_contradiction_clause,[],[f5503]) ).
fof(f5508,plain,
( $false
| spl83_28 ),
inference(unit_resulting_resolution,[],[f5377,f4046]) ).
fof(f5512,plain,
spl83_28,
inference(avatar_contradiction_clause,[],[f5508]) ).
fof(f5514,plain,
( $false
| spl83_35 ),
inference(unit_resulting_resolution,[],[f4054,f4697,f5406]) ).
fof(f5521,plain,
spl83_35,
inference(avatar_contradiction_clause,[],[f5514]) ).
fof(f5527,plain,
( $false
| spl83_36 ),
inference(unit_resulting_resolution,[],[f4054,f4672,f5410]) ).
fof(f5534,plain,
spl83_36,
inference(avatar_contradiction_clause,[],[f5527]) ).
fof(f5539,plain,
( $false
| ~ spl83_2
| ~ spl83_4
| ~ spl83_5
| ~ spl83_6
| ~ spl83_7
| ~ spl83_8
| ~ spl83_9
| ~ spl83_10
| ~ spl83_11
| spl83_12
| spl83_30 ),
inference(unit_resulting_resolution,[],[f4162,f4644,f4636,f4640,f4043,f4044,f4045,f4046,f4047,f4028,f4029,f4030,f4612,f4616,f4605,f4620,f4624,f4628,f4632,f4041,f4042,f4049,f5385]) ).
fof(f5542,plain,
( ~ spl83_2
| ~ spl83_4
| ~ spl83_5
| ~ spl83_6
| ~ spl83_7
| ~ spl83_8
| ~ spl83_9
| ~ spl83_10
| ~ spl83_11
| spl83_12
| spl83_30 ),
inference(avatar_contradiction_clause,[],[f5539]) ).
fof(f5576,definition,
( spl83_65
<=> v2_vectsp_2(sK5) ),
introduced(definition,[new_symbols(definition,[spl83_65])],[avatar_definition]) ).
fof(f5578,plain,
( ~ v2_vectsp_2(sK5)
| spl83_65 ),
inference(avatar_component_clause,[],[f5576]) ).
fof(f5580,definition,
( spl83_66
<=> v10_vectsp_1(sK5) ),
introduced(definition,[new_symbols(definition,[spl83_66])],[avatar_definition]) ).
fof(f5582,plain,
( v10_vectsp_1(sK5)
| ~ spl83_66 ),
inference(avatar_component_clause,[],[f5580]) ).
fof(f5626,plain,
( $false
| ~ spl83_29 ),
inference(unit_resulting_resolution,[],[f5381,f4047]) ).
fof(f5629,plain,
~ spl83_29,
inference(avatar_contradiction_clause,[],[f5626]) ).
fof(f5630,plain,
( $false
| ~ spl83_2
| ~ spl83_4
| ~ spl83_5
| ~ spl83_6
| ~ spl83_7
| ~ spl83_8
| ~ spl83_9
| ~ spl83_10
| ~ spl83_11
| spl83_12
| spl83_31 ),
inference(unit_resulting_resolution,[],[f4162,f4644,f4636,f4640,f4043,f4044,f4045,f4046,f4047,f4028,f4029,f4030,f4612,f4616,f4605,f4620,f4624,f4628,f4632,f4041,f4042,f4048,f5389]) ).
fof(f5633,plain,
( ~ spl83_2
| ~ spl83_4
| ~ spl83_5
| ~ spl83_6
| ~ spl83_7
| ~ spl83_8
| ~ spl83_9
| ~ spl83_10
| ~ spl83_11
| spl83_12
| spl83_31 ),
inference(avatar_contradiction_clause,[],[f5630]) ).
fof(f5716,plain,
( $false
| spl83_65 ),
inference(unit_resulting_resolution,[],[f5578,f4029]) ).
fof(f5720,plain,
spl83_65,
inference(avatar_contradiction_clause,[],[f5716]) ).
fof(f5722,plain,
( $false
| ~ spl83_66 ),
inference(unit_resulting_resolution,[],[f5582,f4030]) ).
fof(f5725,plain,
~ spl83_66,
inference(avatar_contradiction_clause,[],[f5722]) ).
fof(f6445,plain,
( ~ r1_tarski(k5_subset_1(u1_struct_0(sK6),sK7,sK8),sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(k5_subset_1(u1_struct_0(sK6),sK7,sK8),k1_zfmisc_1(u1_struct_0(sK6)))
| v3_struct_0(sK6)
| ~ v3_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v6_rlvect_1(sK6)
| ~ v5_vectsp_2(sK6,sK5)
| ~ l1_vectsp_2(sK6,sK5)
| v3_struct_0(sK5)
| ~ v3_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v4_group_1(sK5)
| ~ v7_group_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| v10_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| ~ l3_vectsp_1(sK5)
| spl83_34 ),
inference(resolution,[],[f5401,f4155]) ).
fof(f6454,definition,
( spl83_94
<=> m1_subset_1(k5_subset_1(u1_struct_0(sK6),sK7,sK8),k1_zfmisc_1(u1_struct_0(sK6))) ),
introduced(definition,[new_symbols(definition,[spl83_94])],[avatar_definition]) ).
fof(f6456,plain,
( ~ m1_subset_1(k5_subset_1(u1_struct_0(sK6),sK7,sK8),k1_zfmisc_1(u1_struct_0(sK6)))
| spl83_94 ),
inference(avatar_component_clause,[],[f6454]) ).
fof(f6458,definition,
( spl83_95
<=> r1_tarski(k5_subset_1(u1_struct_0(sK6),sK7,sK8),sK7) ),
introduced(definition,[new_symbols(definition,[spl83_95])],[avatar_definition]) ).
fof(f6460,plain,
( ~ r1_tarski(k5_subset_1(u1_struct_0(sK6),sK7,sK8),sK7)
| spl83_95 ),
inference(avatar_component_clause,[],[f6458]) ).
fof(f6461,plain,
( ~ spl83_1
| ~ spl83_65
| spl83_66
| ~ spl83_4
| ~ spl83_5
| ~ spl83_2
| ~ spl83_6
| ~ spl83_7
| ~ spl83_8
| ~ spl83_9
| ~ spl83_10
| ~ spl83_11
| spl83_12
| ~ spl83_23
| ~ spl83_24
| ~ spl83_25
| ~ spl83_26
| ~ spl83_27
| ~ spl83_28
| spl83_29
| ~ spl83_94
| ~ spl83_36
| ~ spl83_95
| spl83_34 ),
inference(avatar_split_clause,[],[f6445,f5399,f6458,f5408,f6454,f5379,f5375,f5371,f5367,f5363,f5359,f5355,f4643,f4639,f4635,f4631,f4627,f4623,f4619,f4603,f4615,f4611,f5580,f5576,f4599]) ).
fof(f6640,plain,
( ~ r1_tarski(k3_xboole_0(sK7,sK8),sK7)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(sK8,k1_zfmisc_1(u1_struct_0(sK6)))
| spl83_95 ),
inference(superposition,[],[f6460,f4074]) ).
fof(f6642,definition,
( spl83_98
<=> r1_tarski(k3_xboole_0(sK7,sK8),sK7) ),
introduced(definition,[new_symbols(definition,[spl83_98])],[avatar_definition]) ).
fof(f6644,plain,
( ~ r1_tarski(k3_xboole_0(sK7,sK8),sK7)
| spl83_98 ),
inference(avatar_component_clause,[],[f6642]) ).
fof(f6645,plain,
( ~ spl83_35
| ~ spl83_36
| ~ spl83_98
| spl83_95 ),
inference(avatar_split_clause,[],[f6640,f6458,f6642,f5408,f5404]) ).
fof(f6653,plain,
( $false
| spl83_98 ),
inference(unit_resulting_resolution,[],[f4320,f4180,f6644]) ).
fof(f6667,plain,
spl83_98,
inference(avatar_contradiction_clause,[],[f6653]) ).
fof(f7499,plain,
( $false
| spl83_94 ),
inference(unit_resulting_resolution,[],[f4077,f4049,f4048,f6456]) ).
fof(f7505,plain,
spl83_94,
inference(avatar_contradiction_clause,[],[f7499]) ).
fof(f13980,plain,
( ~ r1_tarski(k5_subset_1(u1_struct_0(sK6),sK7,sK8),sK8)
| ~ m1_subset_1(sK8,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(k5_subset_1(u1_struct_0(sK6),sK7,sK8),k1_zfmisc_1(u1_struct_0(sK6)))
| v3_struct_0(sK6)
| ~ v3_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v6_rlvect_1(sK6)
| ~ v5_vectsp_2(sK6,sK5)
| ~ l1_vectsp_2(sK6,sK5)
| v3_struct_0(sK5)
| ~ v3_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v4_group_1(sK5)
| ~ v7_group_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| v10_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| ~ l3_vectsp_1(sK5)
| spl83_54 ),
inference(resolution,[],[f5483,f4155]) ).
fof(f13989,definition,
( spl83_196
<=> r1_tarski(k5_subset_1(u1_struct_0(sK6),sK7,sK8),sK8) ),
introduced(definition,[new_symbols(definition,[spl83_196])],[avatar_definition]) ).
fof(f13991,plain,
( ~ r1_tarski(k5_subset_1(u1_struct_0(sK6),sK7,sK8),sK8)
| spl83_196 ),
inference(avatar_component_clause,[],[f13989]) ).
fof(f13992,plain,
( ~ spl83_1
| ~ spl83_65
| spl83_66
| ~ spl83_4
| ~ spl83_5
| ~ spl83_2
| ~ spl83_6
| ~ spl83_7
| ~ spl83_8
| ~ spl83_9
| ~ spl83_10
| ~ spl83_11
| spl83_12
| ~ spl83_23
| ~ spl83_24
| ~ spl83_25
| ~ spl83_26
| ~ spl83_27
| ~ spl83_28
| spl83_29
| ~ spl83_94
| ~ spl83_35
| ~ spl83_196
| spl83_54 ),
inference(avatar_split_clause,[],[f13980,f5481,f13989,f5404,f6454,f5379,f5375,f5371,f5367,f5363,f5359,f5355,f4643,f4639,f4635,f4631,f4627,f4623,f4619,f4603,f4615,f4611,f5580,f5576,f4599]) ).
fof(f13994,plain,
( v3_struct_0(sK5)
| ~ v3_rlvect_1(sK5)
| ~ v4_rlvect_1(sK5)
| ~ v5_rlvect_1(sK5)
| ~ v6_rlvect_1(sK5)
| ~ v4_group_1(sK5)
| ~ v7_group_1(sK5)
| ~ v6_vectsp_1(sK5)
| ~ v7_vectsp_1(sK5)
| ~ v8_vectsp_1(sK5)
| v10_vectsp_1(sK5)
| ~ v2_vectsp_2(sK5)
| ~ l3_vectsp_1(sK5)
| v3_struct_0(sK6)
| ~ v3_rlvect_1(sK6)
| ~ v4_rlvect_1(sK6)
| ~ v5_rlvect_1(sK6)
| ~ v6_rlvect_1(sK6)
| ~ v5_vectsp_2(sK6,sK5)
| ~ l1_vectsp_2(sK6,sK5)
| ~ m1_subset_1(k5_subset_1(u1_struct_0(sK6),sK7,sK8),k1_zfmisc_1(u1_struct_0(sK6)))
| spl83_53 ),
inference(resolution,[],[f5479,f4162]) ).
fof(f14003,plain,
( ~ spl83_94
| ~ spl83_23
| ~ spl83_24
| ~ spl83_25
| ~ spl83_26
| ~ spl83_27
| ~ spl83_28
| spl83_29
| ~ spl83_1
| ~ spl83_65
| spl83_66
| ~ spl83_4
| ~ spl83_5
| ~ spl83_2
| ~ spl83_6
| ~ spl83_7
| ~ spl83_8
| ~ spl83_9
| ~ spl83_10
| ~ spl83_11
| spl83_12
| spl83_53 ),
inference(avatar_split_clause,[],[f13994,f5477,f4643,f4639,f4635,f4631,f4627,f4623,f4619,f4603,f4615,f4611,f5580,f5576,f4599,f5379,f5375,f5371,f5367,f5363,f5359,f5355,f6454]) ).
fof(f14005,plain,
( ~ r1_tarski(k3_xboole_0(sK7,sK8),sK8)
| ~ m1_subset_1(sK7,k1_zfmisc_1(u1_struct_0(sK6)))
| ~ m1_subset_1(sK8,k1_zfmisc_1(u1_struct_0(sK6)))
| spl83_196 ),
inference(superposition,[],[f13991,f4074]) ).
fof(f14007,definition,
( spl83_198
<=> r1_tarski(k3_xboole_0(sK7,sK8),sK8) ),
introduced(definition,[new_symbols(definition,[spl83_198])],[avatar_definition]) ).
fof(f14009,plain,
( ~ r1_tarski(k3_xboole_0(sK7,sK8),sK8)
| spl83_198 ),
inference(avatar_component_clause,[],[f14007]) ).
fof(f14010,plain,
( ~ spl83_35
| ~ spl83_36
| ~ spl83_198
| spl83_196 ),
inference(avatar_split_clause,[],[f14005,f13989,f14007,f5408,f5404]) ).
fof(f14012,plain,
( ! [X0] :
( ~ r1_tarski(k3_xboole_0(sK7,sK8),X0)
| ~ r1_tarski(X0,sK8) )
| spl83_198 ),
inference(resolution,[],[f14009,f4176]) ).
fof(f14026,plain,
( ! [X0] : ~ r1_tarski(k2_xboole_0(k3_xboole_0(sK7,sK8),X0),sK8)
| spl83_198 ),
inference(resolution,[],[f14012,f4468]) ).
fof(f14036,plain,
( $false
| spl83_198 ),
inference(unit_resulting_resolution,[],[f4224,f4235,f4305,f14026]) ).
fof(f14049,plain,
spl83_198,
inference(avatar_contradiction_clause,[],[f14036]) ).
cnf(s2,plain,
spl83_4,
inference(sat_conversion,[],[f4647]) ).
cnf(s3,plain,
spl83_5,
inference(sat_conversion,[],[f4648]) ).
cnf(s4,plain,
spl83_2,
inference(sat_conversion,[],[f4649]) ).
cnf(s5,plain,
spl83_6,
inference(sat_conversion,[],[f4650]) ).
cnf(s6,plain,
spl83_7,
inference(sat_conversion,[],[f4651]) ).
cnf(s7,plain,
spl83_8,
inference(sat_conversion,[],[f4652]) ).
cnf(s8,plain,
spl83_9,
inference(sat_conversion,[],[f4653]) ).
cnf(s9,plain,
spl83_10,
inference(sat_conversion,[],[f4654]) ).
cnf(s10,plain,
spl83_11,
inference(sat_conversion,[],[f4655]) ).
cnf(s11,plain,
~ spl83_12,
inference(sat_conversion,[],[f4656]) ).
cnf(s13,plain,
spl83_1,
inference(sat_conversion,[],[f4662]) ).
cnf(s22,plain,
( ~ spl83_1
| ~ spl83_2
| ~ spl83_4
| ~ spl83_5
| ~ spl83_7
| ~ spl83_8
| ~ spl83_9
| ~ spl83_10
| ~ spl83_11
| spl83_12
| ~ spl83_23
| ~ spl83_24
| ~ spl83_25
| ~ spl83_26
| ~ spl83_27
| ~ spl83_28
| spl83_29
| ~ spl83_30
| ~ spl83_31
| ~ spl83_34
| ~ spl83_53
| ~ spl83_54 ),
inference(sat_conversion,[],[f5484]) ).
cnf(s24,plain,
spl83_23,
inference(sat_conversion,[],[f5488]) ).
cnf(s26,plain,
spl83_24,
inference(sat_conversion,[],[f5492]) ).
cnf(s28,plain,
spl83_25,
inference(sat_conversion,[],[f5497]) ).
cnf(s30,plain,
spl83_26,
inference(sat_conversion,[],[f5502]) ).
cnf(s32,plain,
spl83_27,
inference(sat_conversion,[],[f5507]) ).
cnf(s34,plain,
spl83_28,
inference(sat_conversion,[],[f5512]) ).
cnf(s37,plain,
spl83_35,
inference(sat_conversion,[],[f5521]) ).
cnf(s41,plain,
spl83_36,
inference(sat_conversion,[],[f5534]) ).
cnf(s43,plain,
( ~ spl83_2
| ~ spl83_4
| ~ spl83_5
| ~ spl83_6
| ~ spl83_7
| ~ spl83_8
| ~ spl83_9
| ~ spl83_10
| ~ spl83_11
| spl83_12
| spl83_30 ),
inference(sat_conversion,[],[f5542]) ).
cnf(s57,plain,
~ spl83_29,
inference(sat_conversion,[],[f5629]) ).
cnf(s58,plain,
( ~ spl83_2
| ~ spl83_4
| ~ spl83_5
| ~ spl83_6
| ~ spl83_7
| ~ spl83_8
| ~ spl83_9
| ~ spl83_10
| ~ spl83_11
| spl83_12
| spl83_31 ),
inference(sat_conversion,[],[f5633]) ).
cnf(s74,plain,
spl83_65,
inference(sat_conversion,[],[f5720]) ).
cnf(s77,plain,
~ spl83_66,
inference(sat_conversion,[],[f5725]) ).
cnf(s85,plain,
( ~ spl83_1
| ~ spl83_2
| ~ spl83_4
| ~ spl83_5
| ~ spl83_6
| ~ spl83_7
| ~ spl83_8
| ~ spl83_9
| ~ spl83_10
| ~ spl83_11
| spl83_12
| ~ spl83_23
| ~ spl83_24
| ~ spl83_25
| ~ spl83_26
| ~ spl83_27
| ~ spl83_28
| spl83_29
| spl83_34
| ~ spl83_36
| ~ spl83_65
| spl83_66
| ~ spl83_94
| ~ spl83_95 ),
inference(sat_conversion,[],[f6461]) ).
cnf(s88,plain,
( ~ spl83_35
| ~ spl83_36
| spl83_95
| ~ spl83_98 ),
inference(sat_conversion,[],[f6645]) ).
cnf(s97,plain,
spl83_98,
inference(sat_conversion,[],[f6667]) ).
cnf(s137,plain,
spl83_94,
inference(sat_conversion,[],[f7505]) ).
cnf(s354,plain,
( ~ spl83_1
| ~ spl83_2
| ~ spl83_4
| ~ spl83_5
| ~ spl83_6
| ~ spl83_7
| ~ spl83_8
| ~ spl83_9
| ~ spl83_10
| ~ spl83_11
| spl83_12
| ~ spl83_23
| ~ spl83_24
| ~ spl83_25
| ~ spl83_26
| ~ spl83_27
| ~ spl83_28
| spl83_29
| ~ spl83_35
| spl83_54
| ~ spl83_65
| spl83_66
| ~ spl83_94
| ~ spl83_196 ),
inference(sat_conversion,[],[f13992]) ).
cnf(s358,plain,
( ~ spl83_1
| ~ spl83_2
| ~ spl83_4
| ~ spl83_5
| ~ spl83_6
| ~ spl83_7
| ~ spl83_8
| ~ spl83_9
| ~ spl83_10
| ~ spl83_11
| spl83_12
| ~ spl83_23
| ~ spl83_24
| ~ spl83_25
| ~ spl83_26
| ~ spl83_27
| ~ spl83_28
| spl83_29
| spl83_53
| ~ spl83_65
| spl83_66
| ~ spl83_94 ),
inference(sat_conversion,[],[f14003]) ).
cnf(s359,plain,
( ~ spl83_35
| ~ spl83_36
| spl83_196
| ~ spl83_198 ),
inference(sat_conversion,[],[f14010]) ).
cnf(s360,plain,
spl83_198,
inference(sat_conversion,[],[f14049]) ).
cnf(s361,plain,
( ~ spl83_35
| ~ spl83_36
| spl83_196 ),
inference(rat,[],[s359,s360]) ).
cnf(s371,plain,
( ~ spl83_35
| ~ spl83_36
| spl83_95 ),
inference(rat,[],[s88,s97]) ).
cnf(s372,plain,
( ~ spl83_1
| ~ spl83_2
| ~ spl83_4
| ~ spl83_5
| ~ spl83_6
| ~ spl83_7
| ~ spl83_8
| ~ spl83_9
| ~ spl83_10
| ~ spl83_11
| spl83_12
| ~ spl83_23
| ~ spl83_24
| ~ spl83_25
| ~ spl83_26
| ~ spl83_27
| ~ spl83_28
| spl83_29
| spl83_34
| ~ spl83_36
| ~ spl83_65
| spl83_66
| ~ spl83_95 ),
inference(rat,[],[s85,s137]) ).
cnf(s391,plain,
spl83_196,
inference(rat,[],[s361,s41,s37]) ).
cnf(s392,plain,
spl83_95,
inference(rat,[],[s371,s41,s37]) ).
cnf(s394,plain,
( ~ spl83_1
| ~ spl83_2
| ~ spl83_4
| ~ spl83_5
| ~ spl83_7
| ~ spl83_8
| ~ spl83_9
| ~ spl83_10
| ~ spl83_11
| spl83_12
| ~ spl83_30
| ~ spl83_31
| ~ spl83_34
| ~ spl83_53
| ~ spl83_54 ),
inference(rat,[],[s22,s57,s34,s32,s30,s28,s26,s24]) ).
cnf(s398,plain,
spl83_31,
inference(rat,[],[s58,s3,s11,s10,s9,s8,s7,s6,s5,s4,s2]) ).
cnf(s399,plain,
spl83_30,
inference(rat,[],[s43,s3,s11,s10,s9,s8,s7,s6,s5,s4,s2]) ).
cnf(s400,plain,
spl83_53,
inference(rat,[],[s358,s137,s77,s74,s3,s57,s34,s32,s30,s28,s26,s24,s11,s10,s9,s8,s7,s6,s5,s4,s13,s2]) ).
cnf(s401,plain,
spl83_54,
inference(rat,[],[s354,s391,s137,s77,s74,s3,s37,s57,s34,s32,s30,s28,s26,s24,s11,s10,s9,s8,s7,s6,s5,s4,s13,s2]) ).
cnf(s402,plain,
spl83_34,
inference(rat,[],[s372,s392,s77,s74,s41,s3,s57,s34,s32,s30,s28,s26,s24,s11,s10,s9,s8,s7,s6,s5,s4,s13,s2]) ).
cnf(s403,plain,
$false,
inference(rat,[],[s394,s401,s400,s402,s398,s3,s11,s10,s9,s8,s7,s6,s4,s13,s399,s2]) ).
fof(f14050,plain,
$false,
inference(avatar_sat_refutation,[],[s403]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG222+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n016.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 19:53:19 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.65/2.95 % (3926198)Detected formulas, will run a generic FOF schedule.
% 14.65/2.95 % (3926204)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=2897065542:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 14.65/2.95 % (3926207)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2350757678:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 14.65/2.95 % (3926205)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=398483789:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 14.65/2.95 % (3926209)dis-21_1_sil=8000:lcm=predicate:random_seed=2877619185:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 14.65/2.95 % (3926203)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=3859418295:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 14.65/2.95 % (3926208)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3268275892:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 14.65/2.95 % (3926206)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4150876689:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 14.65/2.95 % (3926206)Instruction limit reached!
% 14.65/2.95 % (3926206)------------------------------
% 14.65/2.95 % (3926206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/2.95 % (3926206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/2.95 % (3926206)CaDiCaL version: 2.1.3
% 14.65/2.95 % (3926206)Termination reason: Instruction limit
% 14.65/2.95 % (3926206)Termination phase: Saturation
% 14.65/2.95 % (3926206)Time elapsed: 0.058 s
% 14.65/2.95 % (3926206)Peak memory usage: 93 MB
% 14.65/2.95 % (3926206)Instructions burned: 110 (million)
% 14.65/2.95 % (3926207)Instruction limit reached!
% 14.65/2.95 % (3926207)------------------------------
% 14.65/2.95 % (3926207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/2.95 % (3926207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/2.95 % (3926207)CaDiCaL version: 2.1.3
% 14.65/2.95 % (3926207)Termination reason: Instruction limit
% 14.65/2.95 % (3926207)Termination phase: Saturation
% 14.65/2.95 % (3926207)Time elapsed: 0.069 s
% 14.65/2.95 % (3926207)Peak memory usage: 94 MB
% 14.65/2.95 % (3926207)Instructions burned: 120 (million)
% 14.65/2.95 % (3926209)Instruction limit reached!
% 14.65/2.95 % (3926209)------------------------------
% 14.65/2.95 % (3926209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/2.95 % (3926209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/2.95 % (3926209)CaDiCaL version: 2.1.3
% 14.65/2.95 % (3926209)Termination reason: Instruction limit
% 14.65/2.95 % (3926209)Termination phase: Property scanning
% 14.65/2.95 % (3926209)Time elapsed: 0.082 s
% 14.65/2.95 % (3926209)Peak memory usage: 94 MB
% 14.65/2.95 % (3926209)Instructions burned: 129 (million)
% 14.65/2.95 % (3926208)Instruction limit reached!
% 14.65/2.95 % (3926208)------------------------------
% 14.65/2.95 % (3926208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.65/2.95 % (3926208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.65/2.95 % (3926208)CaDiCaL version: 2.1.3
% 14.65/2.95 % (3926208)Termination reason: Instruction limit
% 14.65/2.95 % (3926208)Termination phase: Preprocessing 3
% 14.65/2.95 % (3926208)Time elapsed: 0.090 s
% 14.65/2.95 % (3926208)Peak memory usage: 94 MB
% 14.65/2.95 % (3926208)Instructions burned: 139 (million)
% 14.65/2.95 % (3926217)lrs+10_1_sil=8000:sp=occurrence:random_seed=772874963:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 14.65/2.95 % (3926218)lrs+10_1_sil=32000:urr=on:br=off:random_seed=859571348:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 14.65/2.95 % (3926220)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=2457791924:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 14.65/2.95 % (3926219)lrs+1011_1_sil=32000:sp=occurrence:random_seed=482209313:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 14.65/2.95 % (3926218)Instruction limit reached!
% 21.49/3.91 % (3926218)------------------------------
% 21.49/3.91 % (3926218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.49/3.91 % (3926218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.49/3.91 % (3926218)CaDiCaL version: 2.1.3
% 21.49/3.91 % (3926218)Termination reason: Instruction limit
% 21.49/3.91 % (3926218)Termination phase: Saturation
% 21.49/3.91 % (3926218)Time elapsed: 0.082 s
% 21.49/3.91 % (3926218)Peak memory usage: 94 MB
% 21.49/3.91 % (3926218)Instructions burned: 159 (million)
% 21.49/3.91 % (3926220)Instruction limit reached!
% 21.49/3.91 % (3926220)------------------------------
% 21.49/3.91 % (3926220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.49/3.91 % (3926220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.49/3.91 % (3926220)CaDiCaL version: 2.1.3
% 21.49/3.91 % (3926220)Termination reason: Instruction limit
% 21.49/3.91 % (3926220)Termination phase: Function definition elimination
% 21.49/3.91 % (3926220)Time elapsed: 0.132 s
% 21.49/3.91 % (3926220)Peak memory usage: 96 MB
% 21.49/3.91 % (3926220)Instructions burned: 249 (million)
% 21.49/3.91 % (3926217)Instruction limit reached!
% 21.49/3.91 % (3926217)------------------------------
% 21.49/3.91 % (3926217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.49/3.91 % (3926217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.49/3.91 % (3926217)CaDiCaL version: 2.1.3
% 21.49/3.91 % (3926217)Termination reason: Instruction limit
% 21.49/3.91 % (3926217)Termination phase: Saturation
% 21.49/3.91 % (3926217)Time elapsed: 0.174 s
% 21.49/3.91 % (3926217)Peak memory usage: 97 MB
% 21.49/3.91 % (3926217)Instructions burned: 286 (million)
% 21.49/3.91 % (3926219)Instruction limit reached!
% 21.49/3.91 % (3926219)------------------------------
% 21.49/3.91 % (3926219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.49/3.91 % (3926219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.49/3.91 % (3926219)CaDiCaL version: 2.1.3
% 21.49/3.91 % (3926219)Termination reason: Instruction limit
% 21.49/3.91 % (3926219)Termination phase: Saturation
% 21.49/3.91 % (3926219)Time elapsed: 0.182 s
% 21.49/3.91 % (3926219)Peak memory usage: 95 MB
% 21.49/3.91 % (3926219)Instructions burned: 327 (million)
% 21.49/3.91 % (3926225)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3104761336:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 21.49/3.91 % (3926226)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1336304733:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 21.49/3.91 % (3926227)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=987843383:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 21.49/3.91 % (3926228)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=600225865:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 21.49/3.91 % (3926227)Instruction limit reached!
% 21.49/3.91 % (3926227)------------------------------
% 21.49/3.91 % (3926227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.49/3.91 % (3926227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.49/3.91 % (3926227)CaDiCaL version: 2.1.3
% 21.49/3.91 % (3926227)Termination reason: Instruction limit
% 21.49/3.91 % (3926227)Termination phase: Saturation
% 21.49/3.91 % (3926227)Time elapsed: 0.063 s
% 21.49/3.91 % (3926227)Peak memory usage: 93 MB
% 21.49/3.91 % (3926227)Instructions burned: 113 (million)
% 21.49/3.91 % (3926225)Instruction limit reached!
% 21.49/3.91 % (3926225)------------------------------
% 21.49/3.91 % (3926225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.49/3.91 % (3926225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.49/3.91 % (3926225)CaDiCaL version: 2.1.3
% 21.49/3.91 % (3926225)Termination reason: Instruction limit
% 21.49/3.91 % (3926225)Termination phase: Saturation
% 21.49/3.91 % (3926225)Time elapsed: 0.163 s
% 21.49/3.91 % (3926225)Peak memory usage: 97 MB
% 21.49/3.91 % (3926225)Instructions burned: 294 (million)
% 21.49/3.91 % (3926228)Instruction limit reached!
% 21.49/3.91 % (3926228)------------------------------
% 21.49/3.91 % (3926228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.49/3.91 % (3926228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.49/3.91 % (3926228)CaDiCaL version: 2.1.3
% 21.49/3.91 % (3926228)Termination reason: Instruction limit
% 52.43/8.18 % (3926228)Termination phase: Property scanning
% 52.43/8.18 % (3926228)Time elapsed: 0.085 s
% 52.43/8.18 % (3926228)Peak memory usage: 96 MB
% 52.43/8.18 % (3926228)Instructions burned: 129 (million)
% 52.43/8.18 % (3926233)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2415723825:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 52.43/8.18 % (3926234)lrs+10_1_sil=8000:sp=occurrence:random_seed=794883995:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 52.43/8.18 % (3926233)Instruction limit reached!
% 52.43/8.18 % (3926233)------------------------------
% 52.43/8.18 % (3926233)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.43/8.18 % (3926233)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.43/8.18 % (3926233)CaDiCaL version: 2.1.3
% 52.43/8.18 % (3926233)Termination reason: Instruction limit
% 52.43/8.18 % (3926233)Termination phase: Preprocessing 3
% 52.43/8.18 % (3926233)Time elapsed: 0.058 s
% 52.43/8.18 % (3926233)Peak memory usage: 90 MB
% 52.43/8.18 % (3926233)Instructions burned: 115 (million)
% 52.43/8.18 % (3926235)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3195142257:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 52.43/8.18 % (3926238)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=804495418:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 52.43/8.18 % (3926235)Instruction limit reached!
% 52.43/8.18 % (3926235)------------------------------
% 52.43/8.18 % (3926235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.43/8.18 % (3926235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.43/8.18 % (3926235)CaDiCaL version: 2.1.3
% 52.43/8.18 % (3926235)Termination reason: Instruction limit
% 52.43/8.18 % (3926235)Termination phase: Saturation
% 52.43/8.18 % (3926235)Time elapsed: 0.219 s
% 52.43/8.18 % (3926235)Peak memory usage: 95 MB
% 52.43/8.18 % (3926235)Instructions burned: 438 (million)
% 52.43/8.18 % (3926241)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=1945775465:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2986 on theBenchmark for (2986ds/134Mi)
% 52.43/8.18 % (3926241)Instruction limit reached!
% 52.43/8.18 % (3926241)------------------------------
% 52.43/8.18 % (3926241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.43/8.18 % (3926241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.43/8.18 % (3926241)CaDiCaL version: 2.1.3
% 52.43/8.18 % (3926241)Termination reason: Instruction limit
% 52.43/8.18 % (3926241)Termination phase: Saturation
% 52.43/8.18 % (3926241)Time elapsed: 0.083 s
% 52.43/8.18 % (3926241)Peak memory usage: 95 MB
% 52.43/8.18 % (3926241)Instructions burned: 134 (million)
% 52.43/8.18 % (3926234)Instruction limit reached!
% 52.43/8.18 % (3926234)------------------------------
% 52.43/8.18 % (3926234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.43/8.18 % (3926234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.43/8.18 % (3926234)CaDiCaL version: 2.1.3
% 52.43/8.18 % (3926234)Termination reason: Instruction limit
% 52.43/8.18 % (3926234)Termination phase: Saturation
% 52.43/8.18 % (3926234)Time elapsed: 0.557 s
% 52.43/8.18 % (3926234)Peak memory usage: 108 MB
% 52.43/8.18 % (3926234)Instructions burned: 908 (million)
% 52.43/8.18 % (3926243)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=522484828:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 52.43/8.18 % (3926244)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=368323842:st=3:i=13193:sd=3:ss=axioms_2983 on theBenchmark for (2983ds/13193Mi)
% 52.43/8.18 % (3926243)Instruction limit reached!
% 52.43/8.18 % (3926243)------------------------------
% 52.43/8.18 % (3926243)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 52.43/8.18 % (3926243)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 52.43/8.18 % (3926243)CaDiCaL version: 2.1.3
% 52.43/8.18 % (3926243)Termination reason: Instruction limit
% 52.43/8.18 % (3926243)Termination phase: Saturation
% 52.43/8.18 % (3926243)Time elapsed: 0.348 s
% 52.43/8.18 % (3926243)Peak memory usage: 105 MB
% 52.43/8.18 % (3926243)Instructions burned: 593 (million)
% 52.43/8.18 % (3926247)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=3786204924:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2978 on theBenchmark for (2978ds/125Mi)
% 70.95/11.95 % (3926226)Instruction limit reached!
% 70.95/11.95 % (3926226)------------------------------
% 70.95/11.95 % (3926226)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.95/11.95 % (3926226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.95/11.95 % (3926226)CaDiCaL version: 2.1.3
% 70.95/11.95 % (3926226)Termination reason: Instruction limit
% 70.95/11.95 % (3926226)Termination phase: Saturation
% 70.95/11.95 % (3926226)Time elapsed: 1.492 s
% 70.95/11.95 % (3926226)Peak memory usage: 216 MB
% 70.95/11.95 % (3926226)Instructions burned: 2351 (million)
% 70.95/11.95 % (3926247)Instruction limit reached!
% 70.95/11.95 % (3926247)------------------------------
% 70.95/11.95 % (3926247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.95/11.95 % (3926247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.95/11.95 % (3926247)CaDiCaL version: 2.1.3
% 70.95/11.95 % (3926247)Termination reason: Instruction limit
% 70.95/11.95 % (3926247)Termination phase: Function definition elimination
% 70.95/11.95 % (3926247)Time elapsed: 0.072 s
% 70.95/11.95 % (3926247)Peak memory usage: 91 MB
% 70.95/11.95 % (3926247)Instructions burned: 126 (million)
% 70.95/11.95 % (3926249)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4217913590:i=134:gtgl=5:slsql=off:gtg=exists_sym_2976 on theBenchmark for (2976ds/134Mi)
% 70.95/11.95 % (3926250)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=1963044818:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2976 on theBenchmark for (2976ds/141Mi)
% 70.95/11.95 % (3926249)Instruction limit reached!
% 70.95/11.95 % (3926249)------------------------------
% 70.95/11.95 % (3926249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.95/11.95 % (3926249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.95/11.95 % (3926249)CaDiCaL version: 2.1.3
% 70.95/11.95 % (3926249)Termination reason: Instruction limit
% 70.95/11.95 % (3926249)Termination phase: Preprocessing 2
% 70.95/11.95 % (3926249)Time elapsed: 0.071 s
% 70.95/11.95 % (3926249)Peak memory usage: 90 MB
% 70.95/11.95 % (3926249)Instructions burned: 134 (million)
% 70.95/11.95 % (3926250)Instruction limit reached!
% 70.95/11.95 % (3926250)------------------------------
% 70.95/11.95 % (3926250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.95/11.95 % (3926250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.95/11.95 % (3926250)CaDiCaL version: 2.1.3
% 70.95/11.95 % (3926250)Termination reason: Instruction limit
% 70.95/11.95 % (3926250)Termination phase: Saturation
% 70.95/11.95 % (3926250)Time elapsed: 0.071 s
% 70.95/11.95 % (3926250)Peak memory usage: 94 MB
% 70.95/11.95 % (3926250)Instructions burned: 142 (million)
% 70.95/11.95 % (3926253)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=2529978619:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2974 on theBenchmark for (2974ds/431Mi)
% 70.95/11.95 % (3926254)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=610143301:i=6060:aac=none:ins=25_2974 on theBenchmark for (2974ds/6060Mi)
% 70.95/11.95 % (3926253)Instruction limit reached!
% 70.95/11.95 % (3926253)------------------------------
% 70.95/11.95 % (3926253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.95/11.95 % (3926253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.95/11.95 % (3926253)CaDiCaL version: 2.1.3
% 70.95/11.95 % (3926253)Termination reason: Instruction limit
% 70.95/11.95 % (3926253)Termination phase: Saturation
% 70.95/11.95 % (3926253)Time elapsed: 0.251 s
% 70.95/11.95 % (3926253)Peak memory usage: 99 MB
% 70.95/11.95 % (3926253)Instructions burned: 431 (million)
% 70.95/11.95 % (3926257)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=2170225676:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2970 on theBenchmark for (2970ds/150Mi)
% 70.95/11.95 % (3926257)Instruction limit reached!
% 70.95/11.95 % (3926257)------------------------------
% 70.95/11.95 % (3926257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 70.95/11.95 % (3926257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 70.95/11.95 % (3926257)CaDiCaL version: 2.1.3
% 70.95/11.95 % (3926257)Termination reason: Instruction limit
% 70.95/11.95 % (3926257)Termination phase: Property scanning
% 45.89/12.93 % (3926257)Time elapsed: 0.094 s
% 45.89/12.93 % (3926257)Peak memory usage: 96 MB
% 45.89/12.93 % (3926257)Instructions burned: 151 (million)
% 45.89/12.93 % (3926259)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2571135810:i=14155:bd=all_2967 on theBenchmark for (2967ds/14155Mi)
% 45.89/12.93 % (3926238)Instruction limit reached!
% 45.89/12.93 % (3926238)------------------------------
% 45.89/12.93 % (3926238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/12.93 % (3926238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/12.93 % (3926238)CaDiCaL version: 2.1.3
% 45.89/12.93 % (3926238)Termination reason: Instruction limit
% 45.89/12.93 % (3926238)Termination phase: Saturation
% 45.89/12.93 % (3926238)Time elapsed: 2.875 s
% 45.89/12.93 % (3926238)Peak memory usage: 208 MB
% 45.89/12.93 % (3926238)Instructions burned: 5202 (million)
% 45.89/12.93 % (3926261)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=141907737:i=667:av=off:fsr=off_2958 on theBenchmark for (2958ds/667Mi)
% 45.89/12.93 % (3926261)Instruction limit reached!
% 45.89/12.93 % (3926261)------------------------------
% 45.89/12.93 % (3926261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/12.93 % (3926261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/12.93 % (3926261)CaDiCaL version: 2.1.3
% 45.89/12.93 % (3926261)Termination reason: Instruction limit
% 45.89/12.93 % (3926261)Termination phase: Saturation
% 45.89/12.93 % (3926261)Time elapsed: 0.312 s
% 45.89/12.93 % (3926261)Peak memory usage: 103 MB
% 45.89/12.93 % (3926261)Instructions burned: 669 (million)
% 45.89/12.93 % (3926263)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=2392938574:s2a=on:i=185:s2at=1.8:fdi=4_2953 on theBenchmark for (2953ds/185Mi)
% 45.89/12.93 % (3926263)Instruction limit reached!
% 45.89/12.93 % (3926263)------------------------------
% 45.89/12.93 % (3926263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/12.93 % (3926263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/12.93 % (3926263)CaDiCaL version: 2.1.3
% 45.89/12.93 % (3926263)Termination reason: Instruction limit
% 45.89/12.93 % (3926263)Termination phase: Property scanning
% 45.89/12.93 % (3926263)Time elapsed: 0.121 s
% 45.89/12.93 % (3926263)Peak memory usage: 98 MB
% 45.89/12.93 % (3926263)Instructions burned: 186 (million)
% 45.89/12.93 % (3926265)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=1840563751:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2950 on theBenchmark for (2950ds/193Mi)
% 45.89/12.93 % (3926265)Instruction limit reached!
% 45.89/12.93 % (3926265)------------------------------
% 45.89/12.93 % (3926265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/12.93 % (3926265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/12.93 % (3926265)CaDiCaL version: 2.1.3
% 45.89/12.93 % (3926265)Termination reason: Instruction limit
% 45.89/12.93 % (3926265)Termination phase: Saturation
% 45.89/12.93 % (3926265)Time elapsed: 0.108 s
% 45.89/12.93 % (3926265)Peak memory usage: 97 MB
% 45.89/12.93 % (3926265)Instructions burned: 193 (million)
% 45.89/12.93 % (3926267)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=1372225577:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2947 on theBenchmark for (2947ds/4850Mi)
% 45.89/12.93 % (3926254)Instruction limit reached!
% 45.89/12.93 % (3926254)------------------------------
% 45.89/12.93 % (3926254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/12.93 % (3926254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/12.93 % (3926254)CaDiCaL version: 2.1.3
% 45.89/12.93 % (3926254)Termination reason: Instruction limit
% 45.89/12.93 % (3926254)Termination phase: Saturation
% 45.89/12.93 % (3926254)Time elapsed: 3.388 s
% 45.89/12.93 % (3926254)Peak memory usage: 231 MB
% 45.89/12.93 % (3926254)Instructions burned: 6062 (million)
% 45.89/12.93 % (3926269)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=1312640495:i=12111:sd=1:ss=included_2938 on theBenchmark for (2938ds/12111Mi)
% 45.89/12.93 % (3926267)Instruction limit reached!
% 45.89/12.93 % (3926267)------------------------------
% 45.89/12.93 % (3926267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/12.93 % (3926267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/12.93 % (3926267)CaDiCaL version: 2.1.3
% 45.89/12.93 % (3926267)Termination reason: Instruction limit
% 45.89/12.93 % (3926267)Termination phase: Saturation
% 45.89/12.93 % (3926267)Time elapsed: 2.132 s
% 45.89/12.93 % (3926267)Peak memory usage: 111 MB
% 45.89/12.93 % (3926267)Instructions burned: 4851 (million)
% 45.89/12.93 % (3926271)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3769891566:i=319:kws=precedence:fsr=off_2924 on theBenchmark for (2924ds/319Mi)
% 45.89/12.93 % (3926271)Instruction limit reached!
% 45.89/12.93 % (3926271)------------------------------
% 45.89/12.93 % (3926271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/12.93 % (3926271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/12.93 % (3926271)CaDiCaL version: 2.1.3
% 45.89/12.93 % (3926271)Termination reason: Instruction limit
% 45.89/12.93 % (3926271)Termination phase: Property scanning
% 45.89/12.93 % (3926271)Time elapsed: 0.154 s
% 45.89/12.93 % (3926271)Peak memory usage: 97 MB
% 45.89/12.93 % (3926271)Instructions burned: 321 (million)
% 45.89/12.93 % (3926273)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=2226340683:i=2064:ep=RST_2921 on theBenchmark for (2921ds/2064Mi)
% 45.89/12.93 % (3926244)Instruction limit reached!
% 45.89/12.93 % (3926244)------------------------------
% 45.89/12.93 % (3926244)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/12.93 % (3926244)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/12.93 % (3926244)CaDiCaL version: 2.1.3
% 45.89/12.93 % (3926244)Termination reason: Instruction limit
% 45.89/12.93 % (3926244)Termination phase: Saturation
% 45.89/12.93 % (3926244)Time elapsed: 7.143 s
% 45.89/12.93 % (3926244)Peak memory usage: 211 MB
% 45.89/12.93 % (3926244)Instructions burned: 13195 (million)
% 45.89/12.93 % (3926273)Instruction limit reached!
% 45.89/12.93 % (3926273)------------------------------
% 45.89/12.93 % (3926273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/12.93 % (3926273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/12.93 % (3926273)CaDiCaL version: 2.1.3
% 45.89/12.93 % (3926273)Termination reason: Instruction limit
% 45.89/12.93 % (3926273)Termination phase: Saturation
% 45.89/12.93 % (3926273)Time elapsed: 1.006 s
% 45.89/12.93 % (3926273)Peak memory usage: 120 MB
% 45.89/12.93 % (3926273)Instructions burned: 2064 (million)
% 45.89/12.93 % (3926275)dis-1011_128_sil=32000:random_seed=1395395536:i=3706:ep=RST:av=off_2909 on theBenchmark for (2909ds/3706Mi)
% 45.89/12.93 % (3926276)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=819007970:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2909 on theBenchmark for (2909ds/757Mi)
% 45.89/12.93 % (3926276)Instruction limit reached!
% 45.89/12.93 % (3926276)------------------------------
% 45.89/12.93 % (3926276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/12.93 % (3926276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/12.93 % (3926276)CaDiCaL version: 2.1.3
% 45.89/12.93 % (3926276)Termination reason: Instruction limit
% 45.89/12.93 % (3926276)Termination phase: Saturation
% 45.89/12.93 % (3926276)Time elapsed: 0.489 s
% 45.89/12.93 % (3926276)Peak memory usage: 101 MB
% 45.89/12.93 % (3926276)Instructions burned: 758 (million)
% 45.89/12.93 % (3926279)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=2661046807:i=13913:ss=axioms:sgt=8_2903 on theBenchmark for (2903ds/13913Mi)
% 45.89/12.93 % (3926259)Instruction limit reached!
% 45.89/12.93 % (3926259)------------------------------
% 45.89/12.93 % (3926259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/12.93 % (3926259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/12.93 % (3926259)CaDiCaL version: 2.1.3
% 45.89/12.93 % (3926259)Termination reason: Instruction limit
% 45.89/12.93 % (3926259)Termination phase: Saturation
% 45.89/12.93 % (3926259)Time elapsed: 7.818 s
% 45.89/12.93 % (3926259)Peak memory usage: 229 MB
% 45.89/12.93 % (3926259)Instructions burned: 14156 (million)
% 45.89/12.93 % (3926275)Instruction limit reached!
% 45.89/12.93 % (3926275)------------------------------
% 45.89/12.93 % (3926275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/12.93 % (3926275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/12.93 % (3926275)CaDiCaL version: 2.1.3
% 45.89/12.93 % (3926275)Termination reason: Instruction limit
% 45.89/12.93 % (3926275)Termination phase: Saturation
% 45.89/12.93 % (3926275)Time elapsed: 2.113 s
% 45.89/12.93 % (3926275)Peak memory usage: 143 MB
% 45.89/12.93 % (3926275)Instructions burned: 3706 (million)
% 45.89/12.93 % (3926281)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=2345881081:i=9925:aac=none_2887 on theBenchmark for (2887ds/9925Mi)
% 45.89/12.93 % (3926282)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=4133531715:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2886 on theBenchmark for (2886ds/2479Mi)
% 45.89/12.93 % (3926282)First to succeed.
% 45.89/12.93 % (3926282)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3926198"
% 45.89/12.93 % (3926269)Instruction limit reached!
% 45.89/12.93 % (3926269)------------------------------
% 45.89/12.93 % (3926269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.89/12.93 % (3926269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.89/12.93 % (3926269)CaDiCaL version: 2.1.3
% 45.89/12.93 % (3926269)Termination reason: Instruction limit
% 45.89/12.93 % (3926269)Termination phase: Saturation
% 45.89/12.93 % (3926269)Time elapsed: 5.717 s
% 45.89/12.93 % (3926269)Peak memory usage: 297 MB
% 45.89/12.93 % (3926269)Instructions burned: 12112 (million)
% 45.89/12.93 % (3926282)Refutation found. Thanks to Tanya!
% 45.89/12.93 % SZS status Theorem for theBenchmark
% 45.89/12.93 % SZS output start Proof for theBenchmark
% See solution above
% 86.40/13.13 % (3926282)------------------------------
% 86.40/13.13 % (3926282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 86.40/13.13 % (3926282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 86.40/13.13 % (3926282)CaDiCaL version: 2.1.3
% 86.40/13.13 % (3926282)Termination reason: Refutation
% 86.40/13.13 % (3926282)Time elapsed: 0.526 s
% 86.40/13.13 % (3926282)Peak memory usage: 99 MB
% 86.40/13.13 % (3926282)Instructions burned: 878 (million)
% 86.40/13.13 % (3926282)------------------------------
% 86.40/13.13 % (3926282)------------------------------
% 86.40/13.13 % (3926198)Success in time 12.276 s
% 86.40/13.13 % Vampire exiting
%------------------------------------------------------------------------------