%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : TOP024+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 : n003.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 3.15s 1.32s
% Output : CNFRefutation 3.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 12
% Syntax : Number of formulae : 85 ( 29 unt; 4 def)
% Number of atoms : 271 ( 67 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 292 ( 123 ~; 117 |; 31 &)
% ( 5 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 82 ( 0 sgn 78 !; 4 ?; 32 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
=> v1_tops_1(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_tsp_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
=> v1_tops_1(X1,X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f25,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tops_1(X1,X0)
<=> k6_pre_topc(X0,X1) = u1_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tops_3) ).
fof(f26,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
<=> ( k3_tex_4(X0,X1) = u1_struct_0(X0)
& v1_tsp_1(X1,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_tsp_2) ).
fof(f29,axiom,
! [X0] :
( l1_struct_0(X0)
=> m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_pre_topc) ).
fof(f32,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f46,axiom,
! [X0] :
( l1_pre_topc(X0)
=> v1_tops_1(k2_pre_topc(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc9_tops_1) ).
fof(f60,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(f67,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k6_pre_topc(X0,k3_tex_4(X0,X1)) = k6_pre_topc(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t64_tex_4) ).
fof(f88,plain,
? [X0] :
( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& v1_tsp_2(X1,X0)
& ~ v1_tops_1(X1,X0) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f89,plain,
? [X0] :
( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& v1_tsp_2(X1,X0)
& ~ v1_tops_1(X1,X0) ) ),
inference(flattening,[],[f88]) ).
fof(f113,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( v1_tops_1(X1,X0)
<=> k6_pre_topc(X0,X1) = u1_struct_0(X0) ) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f114,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( v1_tsp_2(X1,X0)
<=> ( k3_tex_4(X0,X1) = u1_struct_0(X0)
& v1_tsp_1(X1,X0) ) ) ) ),
inference(ennf_transformation,[],[f26]) ).
fof(f115,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( v1_tsp_2(X1,X0)
<=> ( k3_tex_4(X0,X1) = u1_struct_0(X0)
& v1_tsp_1(X1,X0) ) ) ) ),
inference(flattening,[],[f114]) ).
fof(f116,plain,
! [X0] :
( ~ l1_struct_0(X0)
| m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f29]) ).
fof(f121,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f132,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v1_tops_1(k2_pre_topc(X0),X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f149,plain,
! [X0] :
( ~ l1_struct_0(X0)
| k2_pre_topc(X0) = u1_struct_0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f159,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k6_pre_topc(X0,k3_tex_4(X0,X1)) = k6_pre_topc(X0,X1) ) ),
inference(ennf_transformation,[],[f67]) ).
fof(f160,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k6_pre_topc(X0,k3_tex_4(X0,X1)) = k6_pre_topc(X0,X1) ) ),
inference(flattening,[],[f159]) ).
fof(f168,plain,
( l1_pre_topc(sK2)
& v2_pre_topc(sK2)
& ~ v3_struct_0(sK2)
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
& v1_tsp_2(sK3,sK2)
& ~ v1_tops_1(sK3,sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f89]) ).
fof(f171,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ v1_tops_1(X1,X0)
| k6_pre_topc(X0,X1) = u1_struct_0(X0) )
& ( u1_struct_0(X0) != k6_pre_topc(X0,X1)
| v1_tops_1(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f113]) ).
fof(f172,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ v1_tsp_2(X1,X0)
| ( k3_tex_4(X0,X1) = u1_struct_0(X0)
& v1_tsp_1(X1,X0) ) )
& ( u1_struct_0(X0) != k3_tex_4(X0,X1)
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f115]) ).
fof(f173,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( ~ v1_tsp_2(X1,X0)
| ( k3_tex_4(X0,X1) = u1_struct_0(X0)
& v1_tsp_1(X1,X0) ) )
& ( u1_struct_0(X0) != k3_tex_4(X0,X1)
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0) ) ) ) ),
inference(flattening,[],[f172]) ).
fof(f190,plain,
l1_pre_topc(sK2),
inference(cnf_transformation,[],[f168]) ).
fof(f191,plain,
v2_pre_topc(sK2),
inference(cnf_transformation,[],[f168]) ).
fof(f192,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f168]) ).
fof(f193,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
inference(cnf_transformation,[],[f168]) ).
fof(f194,plain,
v1_tsp_2(sK3,sK2),
inference(cnf_transformation,[],[f168]) ).
fof(f195,plain,
~ v1_tops_1(sK3,sK2),
inference(cnf_transformation,[],[f168]) ).
fof(f239,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tops_1(X1,X0)
| u1_struct_0(X0) = k6_pre_topc(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f240,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| u1_struct_0(X0) != k6_pre_topc(X0,X1)
| v1_tops_1(X1,X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f241,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0)
| u1_struct_0(X0) = k3_tex_4(X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f244,plain,
! [X0] :
( ~ l1_struct_0(X0)
| m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f116]) ).
fof(f247,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f264,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| v1_tops_1(k2_pre_topc(X0),X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f314,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f322,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k6_pre_topc(X0,X1) = k6_pre_topc(X0,k3_tex_4(X0,X1)) ),
inference(cnf_transformation,[],[f160]) ).
tcf(c_49,negated_conjecture,
~ v1_tops_1(sK3,sK2),
inference(cnf_transformation,[],[f195]) ).
tcf(c_50,negated_conjecture,
v1_tsp_2(sK3,sK2),
inference(cnf_transformation,[],[f194]) ).
tcf(c_51,negated_conjecture,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
inference(cnf_transformation,[],[f193]) ).
tcf(c_52,negated_conjecture,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f192]) ).
tcf(c_53,negated_conjecture,
v2_pre_topc(sK2),
inference(cnf_transformation,[],[f191]) ).
tcf(c_54,negated_conjecture,
l1_pre_topc(sK2),
inference(cnf_transformation,[],[f190]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( v1_tops_1(X1,X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( k6_pre_topc(X0,X1) != u1_struct_0(X0) ) ),
inference(cnf_transformation,[],[f240]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i] :
( ( k6_pre_topc(X1,X0) = u1_struct_0(X1) )
| ~ l1_pre_topc(X1)
| ~ v1_tops_1(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f239]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k3_tex_4(X1,X0) = u1_struct_0(X1) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ v1_tsp_2(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f241]) ).
tcf(c_102,plain,
! [X0: $i] :
( m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f244]) ).
tcf(c_105,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f247]) ).
tcf(c_122,plain,
! [X0: $i] :
( v1_tops_1(k2_pre_topc(X0),X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f264]) ).
tcf(c_172,plain,
! [X0: $i] :
( ( u1_struct_0(X0) = k2_pre_topc(X0) )
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f314]) ).
tcf(c_180,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k6_pre_topc(X1,k3_tex_4(X1,X0)) = k6_pre_topc(X1,X0) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f322]) ).
tcf(c_1596,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k3_tex_4(X1,X0) = u1_struct_0(X1) )
| ~ l1_pre_topc(X1)
| ~ v2_pre_topc(X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ( X1 != sK2 )
| ( X0 != sK3 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_101]) ).
tcf(c_1597,plain,
( v3_struct_0(sK2)
| ( k3_tex_4(sK2,sK3) = u1_struct_0(sK2) )
| ~ l1_pre_topc(sK2)
| ~ v2_pre_topc(sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(unflattening,[status(thm)],[c_1596]) ).
tcf(c_1598,plain,
k3_tex_4(sK2,sK3) = u1_struct_0(sK2),
inference(global_subsumption_just,[status(thm)],[c_1597,c_54,c_53,c_52,c_51,c_1597]) ).
tcf(c_1604,plain,
! [X0: $i,X1: $i] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( X1 != sK3 )
| ( X0 != sK2 )
| ( k6_pre_topc(X0,X1) != u1_struct_0(X0) ) ),
inference(resolution_lifted,[status(thm)],[c_49,c_97]) ).
tcf(c_1605,plain,
( ~ l1_pre_topc(sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ( k6_pre_topc(sK2,sK3) != u1_struct_0(sK2) ) ),
inference(unflattening,[status(thm)],[c_1604]) ).
tcf(c_1606,plain,
k6_pre_topc(sK2,sK3) != u1_struct_0(sK2),
inference(global_subsumption_just,[status(thm)],[c_1605,c_54,c_51,c_1605]) ).
tcf(c_1620,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_pre_topc(X2,X1) = u1_struct_0(X2) )
| ~ l1_pre_topc(X2)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X2)))
| ( X0 != X2 )
| ( k2_pre_topc(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_98,c_122]) ).
tcf(c_1621,plain,
! [X0: $i] :
( ( k6_pre_topc(X0,k2_pre_topc(X0)) = u1_struct_0(X0) )
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(k2_pre_topc(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(unflattening,[status(thm)],[c_1620]) ).
tcf(c_1623,plain,
! [X0: $i] :
( ( k6_pre_topc(X0,k2_pre_topc(X0)) = u1_struct_0(X0) )
| ~ l1_pre_topc(X0) ),
inference(global_subsumption_just,[status(thm)],[c_1621,c_105,c_102,c_1621]) ).
tcf(c_2077,plain,
! [X0: $i,X1: $i] :
( ( u1_struct_0(X1) = k2_pre_topc(X1) )
| ~ l1_pre_topc(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_105,c_172]) ).
tcf(c_2078,plain,
! [X0: $i] :
( ( u1_struct_0(X0) = k2_pre_topc(X0) )
| ~ l1_pre_topc(X0) ),
inference(unflattening,[status(thm)],[c_2077]) ).
tcf(c_2327,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k6_pre_topc(X0,k3_tex_4(X0,X1)) = k6_pre_topc(X0,X1) )
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_53,c_180]) ).
tcf(c_2328,plain,
! [X0: $i] :
( v3_struct_0(sK2)
| ( k6_pre_topc(sK2,k3_tex_4(sK2,X0)) = k6_pre_topc(sK2,X0) )
| ~ l1_pre_topc(sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(unflattening,[status(thm)],[c_2327]) ).
tcf(c_2330,plain,
! [X0: $i] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| ( k6_pre_topc(sK2,k3_tex_4(sK2,X0)) = k6_pre_topc(sK2,X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_2328,c_54,c_52,c_2328]) ).
tcf(c_2331,plain,
! [X0: $i] :
( ( k6_pre_topc(sK2,k3_tex_4(sK2,X0)) = k6_pre_topc(sK2,X0) )
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(renaming,[status(thm)],[c_2330]) ).
tcf(c_2678,plain,
! [X0: $i] :
( ( u1_struct_0(X0) = k2_pre_topc(X0) )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_2078]) ).
tcf(c_2679,plain,
u1_struct_0(sK2) = k2_pre_topc(sK2),
inference(unflattening,[status(thm)],[c_2678]) ).
tcf(c_2683,plain,
! [X0: $i] :
( ( k6_pre_topc(X0,k2_pre_topc(X0)) = u1_struct_0(X0) )
| ( X0 != sK2 ) ),
inference(resolution_lifted,[status(thm)],[c_54,c_1623]) ).
tcf(c_2684,plain,
k6_pre_topc(sK2,k2_pre_topc(sK2)) = u1_struct_0(sK2),
inference(unflattening,[status(thm)],[c_2683]) ).
tcf(c_3279,plain,
k6_pre_topc(sK2,u1_struct_0(sK2)) = u1_struct_0(sK2),
inference(light_normalisation,[status(thm)],[c_2684,c_2679]) ).
tcf(c_4202,definition,
iPr_def_10 = u1_struct_0(sK2),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_4203,definition,
iPr_def_11 = k6_pre_topc(sK2,iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_4219,definition,
iPr_def_27 = k6_pre_topc(sK2,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_4220,definition,
iPr_def_28 = k3_tex_4(sK2,sK3),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_4221,plain,
iPr_def_11 = iPr_def_10,
inference(demodulation,[status(thm)],[c_3279,c_4202,c_4203]) ).
tcf(c_4254,plain,
! [X0: $i] :
( ( k6_pre_topc(sK2,k3_tex_4(sK2,X0)) = k6_pre_topc(sK2,X0) )
| ~ m1_subset_1(X0,iPr_def_15) ),
inference(demodulation,[status(thm)],[c_2331]) ).
tcf(c_4255,plain,
iPr_def_27 != iPr_def_10,
inference(demodulation,[status(thm)],[c_1606,c_4219]) ).
tcf(c_4256,plain,
iPr_def_28 = iPr_def_10,
inference(demodulation,[status(thm)],[c_1598,c_4220]) ).
tcf(c_4257,negated_conjecture,
m1_subset_1(sK3,iPr_def_15),
inference(demodulation,[status(thm)],[c_51]) ).
tcf(c_5098,plain,
k6_pre_topc(sK2,k3_tex_4(sK2,sK3)) = k6_pre_topc(sK2,sK3),
inference(superposition,[status(thm)],[c_4257,c_4254]) ).
tcf(c_5101,plain,
iPr_def_10 = iPr_def_27,
inference(light_normalisation,[status(thm)],[c_5098,c_4203,c_4219,c_4220,c_4221,c_4256]) ).
tcf(c_5112,plain,
iPr_def_10 != iPr_def_10,
inference(demodulation,[status(thm)],[c_4255,c_5101]) ).
tcf(c_5113,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_5112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : TOP024+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.41 % Computer : n003.cluster.edu
% 0.17/0.41 % Model : x86_64 x86_64
% 0.17/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.41 % Memory : 8046.5625MB
% 0.17/0.41 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Fri Sep 25 04:11:22 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.48 Running first-order theorem proving
% 0.17/0.48 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
% 0.24/0.50
% 0.24/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.24/0.50
% 0.24/0.50 % Detected problem language: tptp
% 0.24/0.51 % Proving...
% 3.15/1.32 % SZS status Started for theBenchmark.p
% 3.15/1.32 % SZS status Theorem for theBenchmark.p
% 3.15/1.32
% 3.15/1.32 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.15/1.32
% 3.15/1.32 % ------ iProver source info
% 3.15/1.32
% 3.15/1.32 % git: date: 2026-07-19 20:42:38 +0200
% 3.15/1.32 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.15/1.32 % git: non_committed_changes: false
% 3.15/1.32
% 3.15/1.32 % ------ Parsing...
% 3.15/1.32 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 3.15/1.32
% 3.15/1.32 % ------ Preprocessing... sup_sim: 0 sf_s rm: 55 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 18 sf_s rm: 15 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 15 0s sf_e pe_s pe_e %
% 3.15/1.32
% 3.15/1.32 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 3.15/1.32
% 3.15/1.32 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.15/1.32 % ------ Proving...
% 3.15/1.32 % ------ Problem Properties
% 3.15/1.32
% 3.15/1.32 %
% 3.15/1.32 % clauses 88
% 3.15/1.32 % conjectures 1
% 3.15/1.32 % EPR 38
% 3.15/1.32 % Horn 86
% 3.15/1.32 % unary 61
% 3.15/1.32 % binary 17
% 3.15/1.32 % lits 125
% 3.15/1.32 % lits eq 42
% 3.15/1.32 % fd_pure 0
% 3.15/1.32 % fd_pseudo 0
% 3.15/1.32 % fd_cond 1
% 3.15/1.32 % fd_pseudo_cond 1
% 3.15/1.32 % AC symbols 0
% 3.15/1.32
% 3.15/1.32 % ------ Schedule dynamic 5 is on
% 3.15/1.32
% 3.15/1.32 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.15/1.32
% 3.15/1.32
% 3.15/1.32 % ------
% 3.15/1.32 % Current options:
% 3.15/1.32 % ------
% 3.15/1.32
% 3.15/1.32
% 3.15/1.32 %
% 3.15/1.32
% 3.15/1.32 % ------ Proving...
% 3.15/1.32 %
% 3.15/1.32
% 3.15/1.32 % SZS status Theorem for theBenchmark.p
% 3.15/1.32
% 3.15/1.32 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.15/1.32
% 3.15/1.32
%------------------------------------------------------------------------------