%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : TOP023+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n026.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 : Fri Sep 25 03:55:01 PM UTC 2026
% Result : Theorem 2.88s 1.09s
% Output : CNFRefutation 2.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 13
% Syntax : Number of formulae : 135 ( 43 unt; 8 def)
% Number of atoms : 631 ( 101 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 685 ( 298 ~; 309 |; 53 &)
% ( 3 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 9 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 174 ( 0 sgn 163 !; 11 ?; 83 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( v1_tsp_2(X2,X0)
& X2 = X3
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) )
=> v1_tsp_2(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_tsp_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( v1_tsp_2(X2,X0)
& X2 = X3
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) )
=> v1_tsp_2(X3,X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f21,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
<=> ( ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( r1_tarski(X1,X2)
& v1_tsp_1(X2,X0) )
=> X1 = X2 ) )
& v1_tsp_1(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_tsp_2) ).
fof(f28,axiom,
! [X0] :
( l1_pre_topc(X0)
=> m1_subset_1(u1_pre_topc(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_pre_topc) ).
fof(f35,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X2,X3] :
( g1_pre_topc(X0,X1) = g1_pre_topc(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_pre_topc) ).
fof(f47,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( v1_tsp_1(X2,X0)
& X2 = X3
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) )
=> v1_tsp_1(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tsp_1) ).
fof(f71,plain,
? [X0] :
( l1_pre_topc(X0)
& ? [X1] :
( l1_pre_topc(X1)
& ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& v1_tsp_2(X2,X0)
& X2 = X3
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& ~ v1_tsp_2(X3,X1) ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f72,plain,
? [X0] :
( l1_pre_topc(X0)
& ? [X1] :
( l1_pre_topc(X1)
& ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& v1_tsp_2(X2,X0)
& X2 = X3
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& ~ v1_tsp_2(X3,X1) ) ) ) ),
inference(flattening,[],[f71]) ).
fof(f86,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( v1_tsp_2(X1,X0)
<=> ( ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ v1_tsp_1(X2,X0)
| X1 = X2 )
& v1_tsp_1(X1,X0) ) ) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f87,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( v1_tsp_2(X1,X0)
<=> ( ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ v1_tsp_1(X2,X0)
| X1 = X2 )
& v1_tsp_1(X1,X0) ) ) ) ),
inference(flattening,[],[f86]) ).
fof(f89,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m1_subset_1(u1_pre_topc(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(ennf_transformation,[],[f28]) ).
fof(f90,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ! [X2,X3] :
( g1_pre_topc(X0,X1) != g1_pre_topc(X2,X3)
| ( X1 = X3
& X0 = X2 ) ) ),
inference(ennf_transformation,[],[f35]) ).
fof(f99,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ l1_pre_topc(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_1(X2,X0)
| X2 != X3
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| v1_tsp_1(X3,X1) ) ) ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f100,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ l1_pre_topc(X1)
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_1(X2,X0)
| X2 != X3
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| v1_tsp_1(X3,X1) ) ) ) ),
inference(flattening,[],[f99]) ).
fof(f104,plain,
( l1_pre_topc(sK0)
& l1_pre_topc(sK1)
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
& v1_tsp_2(sK2,sK0)
& sK2 = sK3
& g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0)) = g1_pre_topc(u1_struct_0(sK1),u1_pre_topc(sK1))
& ~ v1_tsp_2(sK3,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f72]) ).
fof(f105,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ v1_tsp_2(X1,X0)
| ( ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ v1_tsp_1(X2,X0)
| X1 = X2 )
& v1_tsp_1(X1,X0) ) )
& ( ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& r1_tarski(X1,X2)
& v1_tsp_1(X2,X0)
& X1 != X2 )
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f87]) ).
fof(f106,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ v1_tsp_2(X1,X0)
| ( ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X2)
| ~ v1_tsp_1(X2,X0)
| X1 = X2 )
& v1_tsp_1(X1,X0) ) )
& ( ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& r1_tarski(X1,X2)
& v1_tsp_1(X2,X0)
& X1 != X2 )
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0) ) ) ) ),
inference(flattening,[],[f105]) ).
fof(f107,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ v1_tsp_2(X1,X0)
| ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X3)
| ~ v1_tsp_1(X3,X0)
| X1 = X3 )
& v1_tsp_1(X1,X0) ) )
& ( ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
& r1_tarski(X1,X2)
& v1_tsp_1(X2,X0)
& X1 != X2 )
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0) ) ) ) ),
inference(rectify,[],[f106]) ).
fof(f108,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ v1_tsp_2(X1,X0)
| ( ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X3)
| ~ v1_tsp_1(X3,X0)
| X1 = X3 )
& v1_tsp_1(X1,X0) ) )
& ( ( m1_subset_1(sK4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
& r1_tarski(X1,sK4(X0,X1))
& v1_tsp_1(sK4(X0,X1),X0)
& sK4(X0,X1) != X1 )
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f107]) ).
fof(f117,plain,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f104]) ).
fof(f118,plain,
l1_pre_topc(sK1),
inference(cnf_transformation,[],[f104]) ).
fof(f119,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f104]) ).
fof(f120,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f104]) ).
fof(f121,plain,
v1_tsp_2(sK2,sK0),
inference(cnf_transformation,[],[f104]) ).
fof(f122,plain,
sK2 = sK3,
inference(cnf_transformation,[],[f104]) ).
fof(f123,plain,
g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0)) = g1_pre_topc(u1_struct_0(sK1),u1_pre_topc(sK1)),
inference(cnf_transformation,[],[f104]) ).
fof(f124,plain,
~ v1_tsp_2(sK3,sK1),
inference(cnf_transformation,[],[f104]) ).
fof(f151,plain,
! [X3,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r1_tarski(X1,X3)
| ~ v1_tsp_1(X3,X0)
| X1 = X3 ),
inference(cnf_transformation,[],[f108]) ).
fof(f152,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0)
| v1_tsp_1(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f153,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(sK4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f154,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| r1_tarski(X1,sK4(X0,X1))
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f155,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_tsp_1(sK4(X0,X1),X0)
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f156,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| sK4(X0,X1) != X1
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f159,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m1_subset_1(u1_pre_topc(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(cnf_transformation,[],[f89]) ).
fof(f169,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| g1_pre_topc(X0,X1) != g1_pre_topc(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f90]) ).
fof(f170,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| g1_pre_topc(X0,X1) != g1_pre_topc(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f90]) ).
fof(f197,plain,
! [X2,X3,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_1(X2,X0)
| X2 != X3
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| v1_tsp_1(X3,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f201,plain,
v1_tsp_2(sK3,sK0),
inference(definition_unfolding,[],[f121,f122]) ).
fof(f202,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0))),
inference(definition_unfolding,[],[f119,f122]) ).
fof(f203,plain,
! [X3,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_1(X3,X0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| v1_tsp_1(X3,X1) ),
inference(equality_resolution,[],[f197]) ).
tcf(c_49,negated_conjecture,
~ v1_tsp_2(sK3,sK1),
inference(cnf_transformation,[],[f124]) ).
tcf(c_50,negated_conjecture,
g1_pre_topc(u1_struct_0(sK1),u1_pre_topc(sK1)) = g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0)),
inference(cnf_transformation,[],[f123]) ).
tcf(c_51,negated_conjecture,
v1_tsp_2(sK3,sK0),
inference(cnf_transformation,[],[f201]) ).
tcf(c_52,negated_conjecture,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f120]) ).
tcf(c_53,negated_conjecture,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f202]) ).
tcf(c_54,negated_conjecture,
l1_pre_topc(sK1),
inference(cnf_transformation,[],[f118]) ).
tcf(c_55,negated_conjecture,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f117]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X1,X0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( sK4(X0,X1) != X1 ) ),
inference(cnf_transformation,[],[f156]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,X1)
| v1_tsp_1(sK4(X1,X0),X1)
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f155]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,X1)
| r1_tarski(X0,sK4(X1,X0))
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i] :
( v1_tsp_2(X0,X1)
| m1_subset_1(sK4(X1,X0),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f152]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X2 )
| ~ l1_pre_topc(X1)
| ~ r1_tarski(X0,X2)
| ~ v1_tsp_1(X2,X1)
| ~ v1_tsp_2(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f151]) ).
tcf(c_90,plain,
! [X0: $i] :
( m1_subset_1(u1_pre_topc(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f159]) ).
tcf(c_100,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ( g1_pre_topc(X0,X1) != g1_pre_topc(X2,X3) ) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ( g1_pre_topc(X0,X1) != g1_pre_topc(X2,X3) ) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_tsp_1(X2,X1)
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) ) ),
inference(cnf_transformation,[],[f203]) ).
tcf(c_1389,plain,
! [X0: $i,X1: $i] :
( ~ l1_pre_topc(X0)
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( X1 != sK3 )
| ( X0 != sK1 )
| ( sK4(X0,X1) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_82]) ).
tcf(c_1390,plain,
( ~ l1_pre_topc(sK1)
| ~ v1_tsp_1(sK3,sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ( sK4(sK1,sK3) != sK3 ) ),
inference(unflattening,[status(thm)],[c_1389]) ).
tcf(c_1391,plain,
( ( sK4(sK1,sK3) != sK3 )
| ~ v1_tsp_1(sK3,sK1) ),
inference(global_subsumption_just,[status(thm)],[c_1390,c_54,c_52,c_1390]) ).
tcf(c_1392,plain,
( ~ v1_tsp_1(sK3,sK1)
| ( sK4(sK1,sK3) != sK3 ) ),
inference(renaming,[status(thm)],[c_1391]) ).
tcf(c_2471,definition,
iPr_def_10 = u1_struct_0(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_2472,definition,
iPr_def_11 = k1_zfmisc_1(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_2473,definition,
iPr_def_12 = u1_struct_0(sK1),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_2474,definition,
iPr_def_13 = k1_zfmisc_1(iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_2475,definition,
iPr_def_14 = u1_pre_topc(sK1),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_2476,definition,
iPr_def_15 = g1_pre_topc(iPr_def_12,iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_2477,definition,
iPr_def_16 = u1_pre_topc(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_2478,definition,
iPr_def_17 = g1_pre_topc(iPr_def_10,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_2479,negated_conjecture,
l1_pre_topc(sK0),
inference(demodulation,[status(thm)],[c_55]) ).
tcf(c_2480,negated_conjecture,
l1_pre_topc(sK1),
inference(demodulation,[status(thm)],[c_54]) ).
tcf(c_2481,negated_conjecture,
m1_subset_1(sK3,iPr_def_11),
inference(demodulation,[status(thm)],[c_53,c_2471,c_2472]) ).
tcf(c_2483,negated_conjecture,
v1_tsp_2(sK3,sK0),
inference(demodulation,[status(thm)],[c_51]) ).
tcf(c_2484,negated_conjecture,
iPr_def_15 = iPr_def_17,
inference(demodulation,[status(thm)],[c_50,c_2477,c_2478,c_2475,c_2476]) ).
tcf(c_2485,negated_conjecture,
~ v1_tsp_2(sK3,sK1),
inference(demodulation,[status(thm)],[c_49]) ).
tcf(c_3421,plain,
g1_pre_topc(iPr_def_10,iPr_def_16) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_2478,c_2484]) ).
tcf(c_3635,plain,
( m1_subset_1(u1_pre_topc(sK0),k1_zfmisc_1(k1_zfmisc_1(iPr_def_10)))
| ~ l1_pre_topc(sK0) ),
inference(superposition,[status(thm)],[c_2471,c_90]) ).
tcf(c_3636,plain,
( m1_subset_1(u1_pre_topc(sK1),k1_zfmisc_1(k1_zfmisc_1(iPr_def_12)))
| ~ l1_pre_topc(sK1) ),
inference(superposition,[status(thm)],[c_2473,c_90]) ).
tcf(c_3647,plain,
( m1_subset_1(iPr_def_14,k1_zfmisc_1(iPr_def_13))
| ~ l1_pre_topc(sK1) ),
inference(light_normalisation,[status(thm)],[c_3636,c_2474,c_2475]) ).
tcf(c_3648,plain,
m1_subset_1(iPr_def_14,k1_zfmisc_1(iPr_def_13)),
inference(forward_subsumption_resolution,[status(thm)],[c_3647,c_2480]) ).
tcf(c_3649,plain,
( m1_subset_1(iPr_def_16,k1_zfmisc_1(iPr_def_11))
| ~ l1_pre_topc(sK0) ),
inference(light_normalisation,[status(thm)],[c_3635,c_2472,c_2477]) ).
tcf(c_3650,plain,
m1_subset_1(iPr_def_16,k1_zfmisc_1(iPr_def_11)),
inference(forward_subsumption_resolution,[status(thm)],[c_3649,c_2479]) ).
tcf(c_3725,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK0)
| ~ l1_pre_topc(sK0)
| ~ v1_tsp_2(X0,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_2471,c_86]) ).
tcf(c_3738,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK0)
| ~ l1_pre_topc(sK0)
| ~ m1_subset_1(X0,iPr_def_11)
| ~ v1_tsp_2(X0,sK0) ),
inference(light_normalisation,[status(thm)],[c_3725,c_2472]) ).
tcf(c_3739,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK0)
| ~ m1_subset_1(X0,iPr_def_11)
| ~ v1_tsp_2(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3738,c_2479]) ).
tcf(c_3769,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_10 )
| ~ m1_subset_1(iPr_def_16,k1_zfmisc_1(k1_zfmisc_1(iPr_def_10)))
| ( g1_pre_topc(X0,X1) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3421,c_100]) ).
tcf(c_3779,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_10 )
| ~ m1_subset_1(iPr_def_16,k1_zfmisc_1(iPr_def_11))
| ( g1_pre_topc(X0,X1) != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_3769,c_2472]) ).
tcf(c_3780,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_10 )
| ( g1_pre_topc(X0,X1) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3779,c_3650]) ).
tcf(c_3799,plain,
! [X0: $i,X1: $i] :
( ( X1 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_14,k1_zfmisc_1(k1_zfmisc_1(iPr_def_12)))
| ( g1_pre_topc(X0,X1) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2476,c_101]) ).
tcf(c_3814,plain,
! [X0: $i,X1: $i] :
( ( X1 = iPr_def_14 )
| ~ m1_subset_1(iPr_def_14,k1_zfmisc_1(iPr_def_13))
| ( g1_pre_topc(X0,X1) != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_3799,c_2474]) ).
tcf(c_3815,plain,
! [X0: $i,X1: $i] :
( ( X1 = iPr_def_14 )
| ( g1_pre_topc(X0,X1) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3814,c_3648]) ).
tcf(c_3856,plain,
( v1_tsp_1(sK3,sK0)
| ~ v1_tsp_2(sK3,sK0) ),
inference(superposition,[status(thm)],[c_2481,c_3739]) ).
tcf(c_3861,plain,
v1_tsp_1(sK3,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_3856,c_2483]) ).
tcf(c_3897,plain,
iPr_def_10 = iPr_def_12,
inference(superposition,[status(thm)],[c_2476,c_3780]) ).
tcf(c_3901,plain,
g1_pre_topc(iPr_def_10,iPr_def_14) = iPr_def_15,
inference(demodulation,[status(thm)],[c_2476,c_3897]) ).
tcf(c_3903,plain,
u1_struct_0(sK1) = iPr_def_10,
inference(demodulation,[status(thm)],[c_2473,c_3897]) ).
tcf(c_4170,plain,
iPr_def_14 = iPr_def_16,
inference(superposition,[status(thm)],[c_3421,c_3815]) ).
tcf(c_4179,plain,
u1_pre_topc(sK0) = iPr_def_14,
inference(demodulation,[status(thm)],[c_2477,c_4170]) ).
tcf(c_4228,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ l1_pre_topc(sK0)
| ~ v1_tsp_1(X0,sK0)
| ~ v1_tsp_2(X1,sK0)
| ~ r1_tarski(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(iPr_def_10))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(superposition,[status(thm)],[c_2471,c_87]) ).
tcf(c_4241,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ l1_pre_topc(sK0)
| ~ v1_tsp_1(X1,sK0)
| ~ m1_subset_1(X1,iPr_def_11)
| ~ m1_subset_1(X0,iPr_def_11)
| ~ v1_tsp_2(X0,sK0)
| ~ r1_tarski(X0,X1) ),
inference(light_normalisation,[status(thm)],[c_4228,c_2471,c_2472]) ).
tcf(c_4242,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_tsp_1(X1,sK0)
| ~ m1_subset_1(X1,iPr_def_11)
| ~ m1_subset_1(X0,iPr_def_11)
| ~ v1_tsp_2(X0,sK0)
| ~ r1_tarski(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4241,c_2479]) ).
tcf(c_4311,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X1,sK0)
| ~ l1_pre_topc(sK0)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(iPr_def_10,u1_pre_topc(sK0)) ) ),
inference(superposition,[status(thm)],[c_2471,c_128]) ).
tcf(c_4312,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X1,sK1)
| ~ l1_pre_topc(sK1)
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK1),iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2475,c_128]) ).
tcf(c_4328,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X1,sK1)
| ~ l1_pre_topc(sK1)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,iPr_def_11)
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_4312,c_2472,c_3901,c_3903]) ).
tcf(c_4329,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X1,sK1)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,iPr_def_11)
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4328,c_2480]) ).
tcf(c_4336,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X1,sK0)
| ~ l1_pre_topc(sK0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,iPr_def_11)
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_4311,c_2471,c_2472,c_3901,c_4179]) ).
tcf(c_4337,plain,
! [X0: $i,X1: $i] :
( v1_tsp_1(X1,sK0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,iPr_def_11)
| ~ v1_tsp_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != iPr_def_15 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4336,c_2479]) ).
tcf(c_4401,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK1)
| m1_subset_1(sK4(sK1,X0),k1_zfmisc_1(iPr_def_10))
| ~ l1_pre_topc(sK1)
| ~ v1_tsp_1(X0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(superposition,[status(thm)],[c_3903,c_85]) ).
tcf(c_4402,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK1)
| r1_tarski(X0,sK4(sK1,X0))
| ~ l1_pre_topc(sK1)
| ~ v1_tsp_1(X0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_3903,c_84]) ).
tcf(c_4403,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK1)
| v1_tsp_1(sK4(sK1,X0),sK1)
| ~ l1_pre_topc(sK1)
| ~ v1_tsp_1(X0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(iPr_def_10)) ),
inference(superposition,[status(thm)],[c_3903,c_83]) ).
tcf(c_4409,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK1)
| v1_tsp_1(sK4(sK1,X0),sK1)
| ~ l1_pre_topc(sK1)
| ~ v1_tsp_1(X0,sK1)
| ~ m1_subset_1(X0,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_4403,c_2472]) ).
tcf(c_4410,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK1)
| v1_tsp_1(sK4(sK1,X0),sK1)
| ~ v1_tsp_1(X0,sK1)
| ~ m1_subset_1(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4409,c_2480]) ).
tcf(c_4415,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK1)
| r1_tarski(X0,sK4(sK1,X0))
| ~ l1_pre_topc(sK1)
| ~ v1_tsp_1(X0,sK1)
| ~ m1_subset_1(X0,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_4402,c_2472]) ).
tcf(c_4416,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK1)
| r1_tarski(X0,sK4(sK1,X0))
| ~ v1_tsp_1(X0,sK1)
| ~ m1_subset_1(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4415,c_2480]) ).
tcf(c_4421,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK1)
| m1_subset_1(sK4(sK1,X0),iPr_def_11)
| ~ l1_pre_topc(sK1)
| ~ v1_tsp_1(X0,sK1)
| ~ m1_subset_1(X0,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_4401,c_2472,c_3903]) ).
tcf(c_4422,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK1)
| m1_subset_1(sK4(sK1,X0),iPr_def_11)
| ~ v1_tsp_1(X0,sK1)
| ~ m1_subset_1(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4421,c_2480]) ).
tcf(c_4494,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK1)
| v1_tsp_1(sK4(sK1,X0),sK0)
| ~ v1_tsp_1(X0,sK1)
| ~ m1_subset_1(X0,iPr_def_11)
| ~ v1_tsp_2(sK4(sK1,X0),sK0) ),
inference(superposition,[status(thm)],[c_4422,c_3739]) ).
tcf(c_4526,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK1)
| ( sK4(sK1,X0) = X0 )
| ~ v1_tsp_1(X0,sK1)
| ~ m1_subset_1(X0,iPr_def_11)
| ~ v1_tsp_2(X0,sK0)
| ~ v1_tsp_1(sK4(sK1,X0),sK0)
| ~ m1_subset_1(sK4(sK1,X0),iPr_def_11) ),
inference(superposition,[status(thm)],[c_4416,c_4242]) ).
tcf(c_4653,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK1)
| ~ l1_pre_topc(sK0)
| ~ v1_tsp_1(X0,sK0)
| ~ m1_subset_1(X0,iPr_def_11)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ( g1_pre_topc(u1_struct_0(sK0),iPr_def_14) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4179,c_4329]) ).
tcf(c_4661,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK1)
| ~ l1_pre_topc(sK0)
| ~ v1_tsp_1(X0,sK0)
| ~ m1_subset_1(X0,iPr_def_11)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(ground_joinability,[status(thm)],[c_4653,c_2471,c_3901]) ).
tcf(c_4662,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK1)
| ~ l1_pre_topc(sK0)
| ~ v1_tsp_1(X0,sK0)
| ~ m1_subset_1(X0,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_4661,c_2471,c_2472]) ).
tcf(c_4663,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK1)
| ~ v1_tsp_1(X0,sK0)
| ~ m1_subset_1(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4662,c_2479]) ).
tcf(c_4685,plain,
( v1_tsp_1(sK3,sK1)
| ~ m1_subset_1(sK3,iPr_def_11) ),
inference(superposition,[status(thm)],[c_3861,c_4663]) ).
tcf(c_4687,plain,
v1_tsp_1(sK3,sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_4685,c_2481]) ).
tcf(c_4784,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK0)
| ~ l1_pre_topc(sK1)
| ~ v1_tsp_1(X0,sK1)
| ~ m1_subset_1(X0,iPr_def_11)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1)))
| ( g1_pre_topc(u1_struct_0(sK1),iPr_def_14) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2475,c_4337]) ).
tcf(c_4791,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK0)
| ~ l1_pre_topc(sK1)
| ~ v1_tsp_1(X0,sK1)
| ~ m1_subset_1(X0,iPr_def_11)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(ground_joinability,[status(thm)],[c_4784,c_3901,c_3903]) ).
tcf(c_4792,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK0)
| ~ l1_pre_topc(sK1)
| ~ v1_tsp_1(X0,sK1)
| ~ m1_subset_1(X0,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_4791,c_2472,c_3903]) ).
tcf(c_4793,plain,
! [X0: $i] :
( v1_tsp_1(X0,sK0)
| ~ v1_tsp_1(X0,sK1)
| ~ m1_subset_1(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4792,c_2480]) ).
tcf(c_4820,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK1)
| v1_tsp_1(sK4(sK1,X0),sK0)
| ~ v1_tsp_1(X0,sK1)
| ~ m1_subset_1(X0,iPr_def_11)
| ~ v1_tsp_1(sK4(sK1,X0),sK1) ),
inference(superposition,[status(thm)],[c_4422,c_4793]) ).
tcf(c_5222,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK1)
| v1_tsp_1(sK4(sK1,X0),sK0)
| ~ v1_tsp_1(X0,sK1)
| ~ m1_subset_1(X0,iPr_def_11) ),
inference(global_subsumption_just,[status(thm)],[c_4494,c_4410,c_4820]) ).
tcf(c_5581,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK1)
| ( sK4(sK1,X0) = X0 )
| ~ v1_tsp_2(X0,sK0)
| ~ m1_subset_1(X0,iPr_def_11) ),
inference(global_subsumption_just,[status(thm)],[c_4526,c_3739,c_4422,c_4526,c_4663,c_5222]) ).
tcf(c_5582,plain,
! [X0: $i] :
( v1_tsp_2(X0,sK1)
| ( sK4(sK1,X0) = X0 )
| ~ m1_subset_1(X0,iPr_def_11)
| ~ v1_tsp_2(X0,sK0) ),
inference(renaming,[status(thm)],[c_5581]) ).
tcf(c_5592,plain,
( v1_tsp_2(sK3,sK1)
| ( sK4(sK1,sK3) = sK3 )
| ~ m1_subset_1(sK3,iPr_def_11) ),
inference(superposition,[status(thm)],[c_2483,c_5582]) ).
tcf(c_5593,plain,
sK4(sK1,sK3) = sK3,
inference(forward_subsumption_resolution,[status(thm)],[c_5592,c_2485,c_2481]) ).
tcf(c_5594,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_5593,c_4687,c_1392]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP023+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.37 % Computer : n026.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Fri Sep 25 04:11:24 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.43
% 0.12/0.43 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.43
% 0.12/0.43 % Detected problem language: tptp
% 0.12/0.44 % Proving...
% 2.88/1.09 % SZS status Started for theBenchmark.p
% 2.88/1.09 % SZS status Theorem for theBenchmark.p
% 2.88/1.09
% 2.88/1.09 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.88/1.09
% 2.88/1.09 % ------ iProver source info
% 2.88/1.09
% 2.88/1.09 % git: date: 2026-07-19 20:42:38 +0200
% 2.88/1.09 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.88/1.09 % git: non_committed_changes: false
% 2.88/1.09
% 2.88/1.09 % ------ Parsing...
% 2.88/1.09 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.88/1.09
% 2.88/1.09 % ------ Preprocessing... sup_sim: 0 sf_s rm: 45 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 6 0s sf_e pe_s pe_e %
% 2.88/1.09
% 2.88/1.09 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.88/1.09
% 2.88/1.09 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.88/1.09 % ------ Proving...
% 2.88/1.09 % ------ Problem Properties
% 2.88/1.09
% 2.88/1.09 %
% 2.88/1.09 % clauses 52
% 2.88/1.09 % conjectures 7
% 2.88/1.09 % EPR 21
% 2.88/1.09 % Horn 47
% 2.88/1.09 % unary 25
% 2.88/1.09 % binary 13
% 2.88/1.09 % lits 110
% 2.88/1.09 % lits eq 19
% 2.88/1.09 % fd_pure 0
% 2.88/1.09 % fd_pseudo 0
% 2.88/1.09 % fd_cond 1
% 2.88/1.09 % fd_pseudo_cond 4
% 2.88/1.09 % AC symbols 0
% 2.88/1.09
% 2.88/1.09 % ------ Schedule dynamic 5 is on
% 2.88/1.09
% 2.88/1.09 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.88/1.09
% 2.88/1.09
% 2.88/1.09 % ------
% 2.88/1.09 % Current options:
% 2.88/1.09 % ------
% 2.88/1.09
% 2.88/1.09
% 2.88/1.09 %
% 2.88/1.09
% 2.88/1.09 % ------ Proving...
% 2.88/1.09 %
% 2.88/1.09
% 2.88/1.09 % SZS status Theorem for theBenchmark.p
% 2.88/1.09
% 2.88/1.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.88/1.09
%------------------------------------------------------------------------------