%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : TOP035+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 02:34:26 PM UTC 2026
% Result : Theorem 0.83s 0.40s
% Output : Refutation 0.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 12
% Syntax : Number of formulae : 107 ( 24 unt; 4 def)
% Number of atoms : 554 ( 55 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 760 ( 313 ~; 356 |; 56 &)
% ( 9 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 5 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-4 aty)
% Number of variables : 129 ( 0 sgn 121 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( X2 = X3
=> k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) = k6_pre_topc(X0,k1_struct_0(X0,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_tsp_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( X2 = X3
=> k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) = k6_pre_topc(X0,k1_struct_0(X0,X2)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f50,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( X2 = k1_tsp_2(X0,X1)
<=> v3_borsuk_1(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d9_tsp_2) ).
fof(f54,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m1_pre_topc(X1,X0) )
=> ( v1_funct_1(k1_tsp_2(X0,X1))
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_tsp_2) ).
fof(f60,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f66,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> l1_pre_topc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
fof(f86,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v3_borsuk_1(X2,X0,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( X3 = X4
=> k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l33_tsp_2) ).
fof(f99,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> k1_struct_0(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_struct_0) ).
fof(f102,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(f127,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) != k6_pre_topc(X0,k1_struct_0(X0,X2))
& X2 = X3
& m1_subset_1(X3,u1_struct_0(X1)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f128,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) != k6_pre_topc(X0,k1_struct_0(X0,X2))
& X2 = X3
& m1_subset_1(X3,u1_struct_0(X1)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f127]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k1_tsp_2(X0,X1)
<=> v3_borsuk_1(X2,X0,X1) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k1_tsp_2(X0,X1)
<=> v3_borsuk_1(X2,X0,X1) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f195]) ).
fof(f199,plain,
! [X0,X1] :
( ( v1_funct_1(k1_tsp_2(X0,X1))
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f200,plain,
! [X0,X1] :
( ( v1_funct_1(k1_tsp_2(X0,X1))
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(flattening,[],[f199]) ).
fof(f205,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f66]) ).
fof(f222,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3))
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v3_borsuk_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f223,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3))
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v3_borsuk_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f222]) ).
fof(f240,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f99]) ).
fof(f241,plain,
! [X0,X1] :
( k1_struct_0(X0,X1) = k1_tarski(X1)
| v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f240]) ).
fof(f244,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f102]) ).
fof(f255,plain,
m1_subset_1(sK3,u1_struct_0(sK1)),
inference(cnf_transformation,[],[f128]) ).
fof(f256,plain,
sK2 = sK3,
inference(cnf_transformation,[],[f128]) ).
fof(f257,plain,
k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k6_pre_topc(sK1,k1_struct_0(sK1,sK3))) != k6_pre_topc(sK0,k1_struct_0(sK0,sK2)),
inference(cnf_transformation,[],[f128]) ).
fof(f258,plain,
m1_subset_1(sK2,u1_struct_0(sK0)),
inference(cnf_transformation,[],[f128]) ).
fof(f259,plain,
m2_tsp_1(sK1,sK0),
inference(cnf_transformation,[],[f128]) ).
fof(f260,plain,
v2_tsp_2(sK1,sK0),
inference(cnf_transformation,[],[f128]) ).
fof(f261,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f128]) ).
fof(f262,plain,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f128]) ).
fof(f263,plain,
v2_pre_topc(sK0),
inference(cnf_transformation,[],[f128]) ).
fof(f264,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f128]) ).
fof(f346,plain,
! [X2,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| v3_borsuk_1(X2,X0,X1)
| k1_tsp_2(X0,X1) != X2 ),
inference(cnf_transformation,[],[f196]) ).
fof(f348,plain,
! [X0,X1] :
( m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f349,plain,
! [X0,X1] :
( v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f350,plain,
! [X0,X1] :
( v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f351,plain,
! [X0,X1] :
( v1_funct_1(k1_tsp_2(X0,X1))
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f354,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f357,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0)
| l1_pre_topc(X1) ),
inference(cnf_transformation,[],[f208]) ).
fof(f391,plain,
! [X2,X3,X0,X1,X4] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v3_borsuk_1(X2,X0,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| X3 != X4
| k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3)) ),
inference(cnf_transformation,[],[f223]) ).
fof(f439,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0)
| k1_struct_0(X0,X1) = k1_tarski(X1) ),
inference(cnf_transformation,[],[f241]) ).
fof(f443,plain,
! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0)
| m2_tsp_1(X1,X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f444,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f454,plain,
m1_subset_1(sK3,u1_struct_0(sK0)),
inference(definition_unfolding,[],[f258,f256]) ).
fof(f455,plain,
k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k6_pre_topc(sK1,k1_struct_0(sK1,sK3))) != k6_pre_topc(sK0,k1_struct_0(sK0,sK3)),
inference(definition_unfolding,[],[f257,f256]) ).
fof(f456,plain,
! [X0,X1] :
( ~ m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| v3_borsuk_1(k1_tsp_2(X0,X1),X0,X1) ),
inference(equality_resolution,[],[f346]) ).
fof(f457,plain,
! [X2,X0,X1,X4] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v5_pre_topc(X2,X0,X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v3_borsuk_1(X2,X0,X1)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X4)) ),
inference(equality_resolution,[],[f391]) ).
fof(f458,plain,
( ~ l1_pre_topc(sK0)
| l1_pre_topc(sK1) ),
inference(resolution,[],[f357,f259]) ).
fof(f461,plain,
l1_pre_topc(sK1),
inference(forward_subsumption_resolution,[],[f458,f262]) ).
fof(f462,plain,
( m1_pre_topc(sK1,sK0)
| ~ l1_pre_topc(sK0) ),
inference(resolution,[],[f444,f259]) ).
fof(f465,plain,
m1_pre_topc(sK1,sK0),
inference(forward_subsumption_resolution,[],[f462,f262]) ).
fof(f481,plain,
( ~ l1_struct_0(sK1)
| v3_struct_0(sK1)
| k1_struct_0(sK1,sK3) = k1_tarski(sK3) ),
inference(resolution,[],[f439,f255]) ).
fof(f482,plain,
( ~ l1_struct_0(sK0)
| v3_struct_0(sK0)
| k1_struct_0(sK0,sK3) = k1_tarski(sK3) ),
inference(resolution,[],[f439,f454]) ).
fof(f484,plain,
( ~ l1_struct_0(sK0)
| k1_struct_0(sK0,sK3) = k1_tarski(sK3) ),
inference(forward_subsumption_resolution,[],[f482,f264]) ).
fof(f485,plain,
( ~ l1_struct_0(sK1)
| k1_struct_0(sK1,sK3) = k1_tarski(sK3) ),
inference(forward_subsumption_resolution,[],[f481,f261]) ).
fof(f487,definition,
( spl23_1
<=> k1_struct_0(sK0,sK3) = k1_tarski(sK3) ),
introduced(definition,[new_symbols(definition,[spl23_1])],[avatar_definition]) ).
fof(f489,plain,
( k1_struct_0(sK0,sK3) = k1_tarski(sK3)
| ~ spl23_1 ),
inference(avatar_component_clause,[],[f487]) ).
fof(f491,definition,
( spl23_2
<=> l1_struct_0(sK0) ),
introduced(definition,[new_symbols(definition,[spl23_2])],[avatar_definition]) ).
fof(f493,plain,
( ~ l1_struct_0(sK0)
| spl23_2 ),
inference(avatar_component_clause,[],[f491]) ).
fof(f494,plain,
( spl23_1
| ~ spl23_2 ),
inference(avatar_split_clause,[],[f484,f491,f487]) ).
fof(f496,definition,
( spl23_3
<=> k1_struct_0(sK1,sK3) = k1_tarski(sK3) ),
introduced(definition,[new_symbols(definition,[spl23_3])],[avatar_definition]) ).
fof(f498,plain,
( k1_struct_0(sK1,sK3) = k1_tarski(sK3)
| ~ spl23_3 ),
inference(avatar_component_clause,[],[f496]) ).
fof(f500,definition,
( spl23_4
<=> l1_struct_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl23_4])],[avatar_definition]) ).
fof(f502,plain,
( ~ l1_struct_0(sK1)
| spl23_4 ),
inference(avatar_component_clause,[],[f500]) ).
fof(f503,plain,
( spl23_3
| ~ spl23_4 ),
inference(avatar_split_clause,[],[f485,f500,f496]) ).
fof(f514,plain,
( k6_pre_topc(sK0,k1_struct_0(sK0,sK3)) != k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k6_pre_topc(sK1,k1_tarski(sK3)))
| ~ spl23_3 ),
inference(superposition,[],[f455,f498]) ).
fof(f515,plain,
( k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k6_pre_topc(sK1,k1_tarski(sK3))) != k6_pre_topc(sK0,k1_tarski(sK3))
| ~ spl23_1
| ~ spl23_3 ),
inference(forward_demodulation,[],[f514,f489]) ).
fof(f586,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| v3_borsuk_1(k1_tsp_2(X0,X1),X0,X1)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_pre_topc(X1,X0) ),
inference(resolution,[],[f456,f348]) ).
fof(f587,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| v3_borsuk_1(k1_tsp_2(X0,X1),X0,X1)
| ~ m1_pre_topc(X1,X0) ),
inference(duplicate_literal_removal,[],[f586]) ).
fof(f588,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| v3_borsuk_1(k1_tsp_2(X0,X1),X0,X1)
| ~ m1_pre_topc(X1,X0) ),
inference(forward_subsumption_resolution,[],[f587,f349]) ).
fof(f589,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| v3_borsuk_1(k1_tsp_2(X0,X1),X0,X1)
| ~ m1_pre_topc(X1,X0) ),
inference(forward_subsumption_resolution,[],[f588,f350]) ).
fof(f590,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| v3_borsuk_1(k1_tsp_2(X0,X1),X0,X1)
| ~ m1_pre_topc(X1,X0) ),
inference(forward_subsumption_resolution,[],[f589,f351]) ).
fof(f591,plain,
! [X0,X1] :
( v3_borsuk_1(k1_tsp_2(X0,X1),X0,X1)
| v3_struct_0(X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| ~ m1_pre_topc(X1,X0) ),
inference(forward_subsumption_resolution,[],[f590,f443]) ).
fof(f592,plain,
! [X2,X0,X1] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| ~ v3_borsuk_1(k1_tsp_2(X0,X1),X0,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| k6_pre_topc(X0,k1_struct_0(X0,X2)) = k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X2)))
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_pre_topc(X1,X0) ),
inference(resolution,[],[f457,f348]) ).
fof(f593,plain,
! [X2,X0,X1] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| ~ v3_borsuk_1(k1_tsp_2(X0,X1),X0,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| k6_pre_topc(X0,k1_struct_0(X0,X2)) = k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X2)))
| ~ m1_pre_topc(X1,X0) ),
inference(duplicate_literal_removal,[],[f592]) ).
fof(f594,plain,
! [X2,X0,X1] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| ~ v3_borsuk_1(k1_tsp_2(X0,X1),X0,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| k6_pre_topc(X0,k1_struct_0(X0,X2)) = k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X2)))
| ~ m1_pre_topc(X1,X0) ),
inference(forward_subsumption_resolution,[],[f593,f349]) ).
fof(f595,plain,
! [X2,X0,X1] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| ~ v3_borsuk_1(k1_tsp_2(X0,X1),X0,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| k6_pre_topc(X0,k1_struct_0(X0,X2)) = k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X2)))
| ~ m1_pre_topc(X1,X0) ),
inference(forward_subsumption_resolution,[],[f594,f350]) ).
fof(f596,plain,
! [X2,X0,X1] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ v3_borsuk_1(k1_tsp_2(X0,X1),X0,X1)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| k6_pre_topc(X0,k1_struct_0(X0,X2)) = k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X2)))
| ~ m1_pre_topc(X1,X0) ),
inference(forward_subsumption_resolution,[],[f595,f351]) ).
fof(f597,plain,
! [X2,X0,X1] :
( ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m2_tsp_1(X1,X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X1))
| k6_pre_topc(X0,k1_struct_0(X0,X2)) = k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X2)))
| ~ m1_pre_topc(X1,X0) ),
inference(forward_subsumption_resolution,[],[f596,f591]) ).
fof(f598,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_tsp_2(X1,X0)
| v3_struct_0(X1)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ v2_pre_topc(X0)
| k6_pre_topc(X0,k1_struct_0(X0,X2)) = k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X2)))
| ~ m1_pre_topc(X1,X0) ),
inference(forward_subsumption_resolution,[],[f597,f443]) ).
fof(f602,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v2_tsp_2(sK1,X0)
| v3_struct_0(sK1)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(sK3,u1_struct_0(X0))
| ~ v2_pre_topc(X0)
| k6_pre_topc(X0,k1_struct_0(X0,sK3)) = k5_pre_topc(X0,sK1,k1_tsp_2(X0,sK1),k6_pre_topc(sK1,k1_struct_0(sK1,sK3)))
| ~ m1_pre_topc(sK1,X0) ),
inference(resolution,[],[f598,f255]) ).
fof(f606,plain,
! [X0] :
( v3_struct_0(X0)
| ~ v2_tsp_2(sK1,X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(sK3,u1_struct_0(X0))
| ~ v2_pre_topc(X0)
| k6_pre_topc(X0,k1_struct_0(X0,sK3)) = k5_pre_topc(X0,sK1,k1_tsp_2(X0,sK1),k6_pre_topc(sK1,k1_struct_0(sK1,sK3)))
| ~ m1_pre_topc(sK1,X0) ),
inference(forward_subsumption_resolution,[],[f602,f261]) ).
fof(f608,plain,
( ! [X0] :
( ~ m1_subset_1(sK3,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(sK1,X0)
| ~ l1_pre_topc(X0)
| k6_pre_topc(X0,k1_struct_0(X0,sK3)) = k5_pre_topc(X0,sK1,k1_tsp_2(X0,sK1),k6_pre_topc(sK1,k1_tarski(sK3)))
| ~ v2_pre_topc(X0)
| ~ m1_pre_topc(sK1,X0) )
| ~ spl23_3 ),
inference(forward_demodulation,[],[f606,f498]) ).
fof(f715,plain,
( v3_struct_0(sK0)
| ~ v2_tsp_2(sK1,sK0)
| ~ l1_pre_topc(sK0)
| k6_pre_topc(sK0,k1_struct_0(sK0,sK3)) = k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k6_pre_topc(sK1,k1_tarski(sK3)))
| ~ v2_pre_topc(sK0)
| ~ m1_pre_topc(sK1,sK0)
| ~ spl23_3 ),
inference(resolution,[],[f608,f454]) ).
fof(f716,plain,
( ~ v2_tsp_2(sK1,sK0)
| ~ l1_pre_topc(sK0)
| k6_pre_topc(sK0,k1_struct_0(sK0,sK3)) = k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k6_pre_topc(sK1,k1_tarski(sK3)))
| ~ v2_pre_topc(sK0)
| ~ m1_pre_topc(sK1,sK0)
| ~ spl23_3 ),
inference(forward_subsumption_resolution,[],[f715,f264]) ).
fof(f718,plain,
( ~ l1_pre_topc(sK0)
| k6_pre_topc(sK0,k1_struct_0(sK0,sK3)) = k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k6_pre_topc(sK1,k1_tarski(sK3)))
| ~ v2_pre_topc(sK0)
| ~ m1_pre_topc(sK1,sK0)
| ~ spl23_3 ),
inference(forward_subsumption_resolution,[],[f716,f260]) ).
fof(f720,plain,
( k6_pre_topc(sK0,k1_struct_0(sK0,sK3)) = k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k6_pre_topc(sK1,k1_tarski(sK3)))
| ~ v2_pre_topc(sK0)
| ~ m1_pre_topc(sK1,sK0)
| ~ spl23_3 ),
inference(forward_subsumption_resolution,[],[f718,f262]) ).
fof(f722,plain,
( k6_pre_topc(sK0,k1_struct_0(sK0,sK3)) = k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k6_pre_topc(sK1,k1_tarski(sK3)))
| ~ m1_pre_topc(sK1,sK0)
| ~ spl23_3 ),
inference(forward_subsumption_resolution,[],[f720,f263]) ).
fof(f736,plain,
( k6_pre_topc(sK0,k1_struct_0(sK0,sK3)) = k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k6_pre_topc(sK1,k1_tarski(sK3)))
| ~ spl23_3 ),
inference(forward_subsumption_resolution,[],[f722,f465]) ).
fof(f737,plain,
( k5_pre_topc(sK0,sK1,k1_tsp_2(sK0,sK1),k6_pre_topc(sK1,k1_tarski(sK3))) = k6_pre_topc(sK0,k1_tarski(sK3))
| ~ spl23_1
| ~ spl23_3 ),
inference(forward_demodulation,[],[f736,f489]) ).
fof(f738,plain,
( $false
| ~ spl23_1
| ~ spl23_3 ),
inference(forward_subsumption_resolution,[],[f737,f515]) ).
fof(f739,plain,
( ~ spl23_1
| ~ spl23_3 ),
inference(avatar_contradiction_clause,[],[f738]) ).
fof(f748,plain,
l1_struct_0(sK0),
inference(resolution,[],[f354,f262]) ).
fof(f749,plain,
l1_struct_0(sK1),
inference(resolution,[],[f354,f461]) ).
fof(f752,plain,
( $false
| spl23_4 ),
inference(forward_subsumption_resolution,[],[f749,f502]) ).
fof(f753,plain,
spl23_4,
inference(avatar_contradiction_clause,[],[f752]) ).
fof(f761,plain,
( $false
| spl23_2 ),
inference(forward_subsumption_resolution,[],[f493,f748]) ).
fof(f762,plain,
spl23_2,
inference(avatar_contradiction_clause,[],[f761]) ).
cnf(s1,plain,
( spl23_1
| ~ spl23_2 ),
inference(sat_conversion,[],[f494]) ).
cnf(s2,plain,
( spl23_3
| ~ spl23_4 ),
inference(sat_conversion,[],[f503]) ).
cnf(s16,plain,
( ~ spl23_1
| ~ spl23_3 ),
inference(sat_conversion,[],[f739]) ).
cnf(s18,plain,
spl23_4,
inference(sat_conversion,[],[f753]) ).
cnf(s19,plain,
spl23_2,
inference(sat_conversion,[],[f762]) ).
cnf(s26,plain,
spl23_3,
inference(rat,[],[s2,s18]) ).
cnf(s27,plain,
~ spl23_1,
inference(rat,[],[s16,s26]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s1,s19,s27]) ).
fof(f763,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP035+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n015.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
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 19:01:02 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.83/0.40 % (2905998)Will run a generic schedule for satisfiability detection.
% 0.83/0.40 % (2906007)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1322637066:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.83/0.40 % (2906004)% WARNING: option uhcvi not known.
% 0.83/0.40 % (2906003)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4268594116_2999 on theBenchmark for (2999ds/0Mi)
% 0.83/0.40 % (2906004)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3095634755:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.83/0.40 % (2906005)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3887033775:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.83/0.40 % (2906006)dis+10_1_sil=32000:sp=arity:random_seed=1465630161:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.83/0.40 % (2906009)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3752225064:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.83/0.40 % (2906008)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3205745095:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.83/0.40 % TRYING [1]
% 0.83/0.40 % TRYING [2]
% 0.83/0.40 % TRYING [3]
% 0.83/0.40 % TRYING [4]
% 0.83/0.40 % (2906007)Instruction limit reached!
% 0.83/0.40 % (2906007)------------------------------
% 0.83/0.40 % (2906007)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.40 % (2906007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.40 % (2906007)CaDiCaL version: 2.1.3
% 0.83/0.40 % (2906007)Termination reason: Instruction limit
% 0.83/0.40 % (2906007)Termination phase: Saturation
% 0.83/0.40 % (2906007)Time elapsed: 0.041 s
% 0.83/0.40 % (2906007)Peak memory usage: 13 MB
% 0.83/0.40 % (2906007)Instructions burned: 117 (million)
% 0.83/0.40 % (2906017)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1155421845:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.83/0.40 % TRYING [5]
% 0.83/0.40 % TRYING [1]
% 0.83/0.40 % TRYING [2]
% 0.83/0.40 % (2906006)Instruction limit reached!
% 0.83/0.40 % (2906006)------------------------------
% 0.83/0.40 % (2906006)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.40 % (2906006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.40 % (2906006)CaDiCaL version: 2.1.3
% 0.83/0.40 % (2906006)Termination reason: Instruction limit
% 0.83/0.40 % (2906006)Termination phase: Saturation
% 0.83/0.40 % (2906006)Time elapsed: 0.061 s
% 0.83/0.40 % (2906006)Peak memory usage: 13 MB
% 0.83/0.40 % (2906006)Instructions burned: 104 (million)
% 0.83/0.40 % TRYING [3]
% 0.83/0.40 % TRYING [4]
% 0.83/0.40 % (2906008)Instruction limit reached!
% 0.83/0.40 % (2906008)------------------------------
% 0.83/0.40 % (2906008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.40 % (2906008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.40 % (2906008)CaDiCaL version: 2.1.3
% 0.83/0.40 % (2906008)Termination reason: Instruction limit
% 0.83/0.40 % (2906008)Termination phase: Saturation
% 0.83/0.40 % (2906008)Time elapsed: 0.078 s
% 0.83/0.40 % (2906008)Peak memory usage: 14 MB
% 0.83/0.40 % (2906008)Instructions burned: 131 (million)
% 0.83/0.40 % (2906019)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2178169237:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.83/0.40 % TRYING [5]
% 0.83/0.40 % (2906020)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3444737176:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.83/0.40 % (2906009)Instruction limit reached!
% 0.83/0.40 % (2906009)------------------------------
% 0.83/0.40 % (2906009)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.40 % (2906009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.40 % (2906009)CaDiCaL version: 2.1.3
% 0.83/0.40 % (2906009)Termination reason: Instruction limit
% 0.83/0.40 % (2906009)Termination phase: Saturation
% 0.83/0.40 % (2906009)Time elapsed: 0.101 s
% 0.83/0.40 % (2906009)Peak memory usage: 15 MB
% 0.83/0.40 % (2906009)Instructions burned: 160 (million)
% 0.83/0.40 % (2906020) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2905998-2906020"...
% 0.83/0.40 % (2906020)...printing done.
% 0.83/0.40 % (2906020)Refutation found. Thanks to Tanya!
% 0.83/0.40 % SZS status Theorem for theBenchmark
% 0.83/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.83/0.40 % (2906020)------------------------------
% 0.83/0.40 % (2906020)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.83/0.40 % (2906020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.83/0.40 % (2906020)CaDiCaL version: 2.1.3
% 0.83/0.40 % (2906020)Termination reason: Refutation
% 0.83/0.40 % (2906020)Time elapsed: 0.015 s
% 0.83/0.40 % (2906020)Peak memory usage: 13 MB
% 0.83/0.40 % (2906020)Instructions burned: 21 (million)
% 0.83/0.40 % (2905998)Success in time 0.161 s
% 0.83/0.40 % Vampire exiting
%------------------------------------------------------------------------------