%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU451+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 : n006.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 02:57:36 PM UTC 2026
% Result : Theorem 43.53s 11.74s
% Output : CNFRefutation 43.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 83 ( 20 unt; 0 def)
% Number of atoms : 182 ( 82 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 189 ( 90 ~; 84 |; 8 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 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 : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-6 aty)
% Number of variables : 177 ( 0 sgn 174 !; 3 ?; 79 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k9_relset_2(X0,X0,X1,k6_partfun1(X0),X2) = k9_relset_2(X0,X1,X1,X2,k6_partfun1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> k9_relset_2(X0,X0,X1,k6_partfun1(X0),X2) = k9_relset_2(X0,X1,X1,X2,k6_partfun1(X1)) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f11,axiom,
! [X0] :
( m2_relset_1(k6_partfun1(X0),X0,X0)
& v1_partfun1(k6_partfun1(X0),X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_partfun1) ).
fof(f17,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f36,axiom,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_partfun1) ).
fof(f37,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( m1_relset_1(X5,X2,X3)
& m1_relset_1(X4,X0,X1) )
=> k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k7_relset_1) ).
fof(f38,axiom,
! [X0,X1,X2,X3,X4] :
( ( m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
& m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) )
=> k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_relset_2) ).
fof(f39,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f42,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2
& k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_funct_2) ).
fof(f55,plain,
! [X0] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(pure_predicate_removal,[],[f11]) ).
fof(f59,plain,
? [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
& k9_relset_2(X0,X0,X1,k6_partfun1(X0),X2) != k9_relset_2(X0,X1,X1,X2,k6_partfun1(X1)) ),
inference(ennf_transformation,[],[f2]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| ( k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2
& k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2 ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f17]) ).
fof(f63,plain,
! [X0,X1,X2,X3,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
inference(ennf_transformation,[],[f38]) ).
fof(f64,plain,
! [X0,X1,X2,X3,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
inference(flattening,[],[f63]) ).
fof(f68,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1)
| k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(ennf_transformation,[],[f37]) ).
fof(f69,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1)
| k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(flattening,[],[f68]) ).
fof(f84,plain,
( m2_relset_1(sK2,sK0,sK1)
& k9_relset_2(sK0,sK0,sK1,k6_partfun1(sK0),sK2) != k9_relset_2(sK0,sK1,sK1,sK2,k6_partfun1(sK1)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f59]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) )
& ( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f39]) ).
fof(f95,plain,
m2_relset_1(sK2,sK0,sK1),
inference(cnf_transformation,[],[f84]) ).
fof(f96,plain,
k9_relset_2(sK0,sK0,sK1,k6_partfun1(sK0),sK2) != k9_relset_2(sK0,sK1,sK1,sK2,k6_partfun1(sK1)),
inference(cnf_transformation,[],[f84]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k7_relset_1(X0,X1,X1,X1,X2,k6_partfun1(X1)) = X2 ),
inference(cnf_transformation,[],[f61]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k7_relset_1(X0,X0,X0,X1,k6_partfun1(X0),X2) = X2 ),
inference(cnf_transformation,[],[f61]) ).
fof(f100,plain,
! [X0] : k6_partfun1(X0) = k6_relat_1(X0),
inference(cnf_transformation,[],[f36]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f85]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f62]) ).
fof(f105,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X4,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| k9_relset_2(X0,X1,X2,X3,X4) = k5_relat_1(X3,X4) ),
inference(cnf_transformation,[],[f64]) ).
fof(f112,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ m1_relset_1(X5,X2,X3)
| ~ m1_relset_1(X4,X0,X1)
| k7_relset_1(X0,X1,X2,X3,X4,X5) = k5_relat_1(X4,X5) ),
inference(cnf_transformation,[],[f69]) ).
fof(f140,plain,
! [X0] : m2_relset_1(k6_partfun1(X0),X0,X0),
inference(cnf_transformation,[],[f55]) ).
fof(f141,plain,
k9_relset_2(sK0,sK0,sK1,k6_relat_1(sK0),sK2) != k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1)),
inference(definition_unfolding,[],[f96,f100,f100]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k7_relset_1(X0,X0,X0,X1,k6_relat_1(X0),X2) = X2 ),
inference(definition_unfolding,[],[f99,f100]) ).
fof(f143,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| k7_relset_1(X0,X1,X1,X1,X2,k6_relat_1(X1)) = X2 ),
inference(definition_unfolding,[],[f98,f100]) ).
fof(f144,plain,
! [X0] : m2_relset_1(k6_relat_1(X0),X0,X0),
inference(definition_unfolding,[],[f140,f100]) ).
tcf(c_49,negated_conjecture,
k9_relset_2(sK0,sK0,sK1,k6_relat_1(sK0),sK2) != k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1)),
inference(cnf_transformation,[],[f141]) ).
tcf(c_50,negated_conjecture,
m2_relset_1(sK2,sK0,sK1),
inference(cnf_transformation,[],[f95]) ).
tcf(c_52,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relset_1(X1,X1,X1,X2,k6_relat_1(X1),X0) = X0 )
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f142]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relset_1(X1,X2,X2,X2,X0,k6_relat_1(X2)) = X0 )
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f143]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k9_relset_2(X1,X2,X4,X0,X3) = k5_relat_1(X0,X3) )
| ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X2,X4)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( k7_relset_1(X1,X2,X4,X5,X0,X3) = k5_relat_1(X0,X3) )
| ~ m1_relset_1(X3,X4,X5)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f112]) ).
tcf(c_92,plain,
! [X0: $i] : m2_relset_1(k6_relat_1(X0),X0,X0),
inference(cnf_transformation,[],[f144]) ).
tcf(c_127,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m2_relset_1(X0,X1,X2)
| m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_55]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_127]) ).
tcf(c_137,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relset_1(X1,X1,X1,X2,k6_relat_1(X1),X0) = X0 )
| ~ m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_54,c_52]) ).
tcf(c_139,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relset_1(X1,X2,X2,X2,X0,k6_relat_1(X2)) = X0 )
| ~ m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_54,c_53]) ).
tcf(c_141,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m1_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_54,c_57]) ).
tcf(c_480,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X2,X0,X1)
| ( X2 != sK2 )
| ( X1 != sK1 )
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_50,c_128]) ).
tcf(c_481,plain,
m1_relset_1(sK2,sK0,sK1),
inference(unflattening,[status(thm)],[c_480]) ).
tcf(c_515,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_relset_1(X1,X2,X3)
| ( X0 != X3 )
| ( X0 != X2 )
| ( k6_relat_1(X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_128,c_92]) ).
tcf(c_516,plain,
! [X0: $i] : m1_relset_1(k6_relat_1(X0),X0,X0),
inference(unflattening,[status(thm)],[c_515]) ).
tcf(c_517,plain,
m1_relset_1(k6_relat_1(sK0),sK0,sK0),
inference(instantiation,[status(thm)],[c_516]) ).
tcf(c_767,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_1350,plain,
k7_relset_1(sK0,sK1,sK1,sK1,sK2,k6_relat_1(sK1)) = sK2,
inference(superposition,[status(thm)],[c_481,c_139]) ).
tcf(c_1453,plain,
! [X0: $i] :
( ( k9_relset_2(sK0,sK0,sK1,k6_relat_1(sK0),sK2) = k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1)) )
| ( k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1)) != X0 )
| ( k9_relset_2(sK0,sK0,sK1,k6_relat_1(sK0),sK2) != X0 ) ),
inference(instantiation,[status(thm)],[c_767]) ).
tcf(c_1502,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k7_relset_1(sK0,sK1,X1,X2,sK2,X0) = k5_relat_1(sK2,X0) )
| ~ m1_relset_1(sK2,sK0,sK1)
| ~ m1_relset_1(X0,X1,X2) ),
inference(instantiation,[status(thm)],[c_65]) ).
tcf(c_2165,plain,
( m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_relset_1(sK2,sK0,sK1) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_2168,plain,
! [X0: $i] :
( m1_subset_1(k6_relat_1(X0),k1_zfmisc_1(k2_zfmisc_1(X0,X0)))
| ~ m1_relset_1(k6_relat_1(X0),X0,X0) ),
inference(instantiation,[status(thm)],[c_141]) ).
tcf(c_2169,plain,
( m1_subset_1(k6_relat_1(sK0),k1_zfmisc_1(k2_zfmisc_1(sK0,sK0)))
| ~ m1_relset_1(k6_relat_1(sK0),sK0,sK0) ),
inference(instantiation,[status(thm)],[c_2168]) ).
tcf(c_2495,plain,
! [X0: $i,X1: $i] :
( ( k9_relset_2(sK0,sK1,X1,sK2,X0) = k5_relat_1(sK2,X0) )
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(sK1,X1))) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_2615,plain,
! [X0: $i] :
( ( k7_relset_1(sK0,sK1,X0,X0,sK2,k6_relat_1(X0)) = k5_relat_1(sK2,k6_relat_1(X0)) )
| ~ m1_relset_1(sK2,sK0,sK1)
| ~ m1_relset_1(k6_relat_1(X0),X0,X0) ),
inference(instantiation,[status(thm)],[c_1502]) ).
tcf(c_3114,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k9_relset_2(X0,X0,X2,k6_relat_1(X0),X1) = k5_relat_1(k6_relat_1(X0),X1) )
| ~ m1_subset_1(X1,k1_zfmisc_1(k2_zfmisc_1(X0,X2)))
| ~ m1_subset_1(k6_relat_1(X0),k1_zfmisc_1(k2_zfmisc_1(X0,X0))) ),
inference(instantiation,[status(thm)],[c_58]) ).
tcf(c_7698,plain,
( m1_subset_1(k6_relat_1(sK1),k1_zfmisc_1(k2_zfmisc_1(sK1,sK1)))
| ~ m1_relset_1(k6_relat_1(sK1),sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2168]) ).
tcf(c_9814,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X4 = k7_relset_1(sK0,sK1,X0,X1,sK2,X2) )
| ( X4 != X3 )
| ( k7_relset_1(sK0,sK1,X0,X1,sK2,X2) != X3 ) ),
inference(instantiation,[status(thm)],[c_767]) ).
tcf(c_13424,plain,
( ( k9_relset_2(sK0,sK0,sK1,k6_relat_1(sK0),sK2) = k5_relat_1(k6_relat_1(sK0),sK2) )
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(k6_relat_1(sK0),k1_zfmisc_1(k2_zfmisc_1(sK0,sK0))) ),
inference(instantiation,[status(thm)],[c_3114]) ).
tcf(c_16452,plain,
k7_relset_1(sK0,sK0,sK0,sK1,k6_relat_1(sK0),sK2) = sK2,
inference(superposition,[status(thm)],[c_481,c_137]) ).
tcf(c_16547,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k7_relset_1(X3,X3,X1,X2,k6_relat_1(X3),X0) = k5_relat_1(k6_relat_1(X3),X0) )
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_516,c_65]) ).
tcf(c_17409,plain,
! [X0: $i] : k7_relset_1(X0,X0,sK0,sK1,k6_relat_1(X0),sK2) = k5_relat_1(k6_relat_1(X0),sK2),
inference(superposition,[status(thm)],[c_481,c_16547]) ).
tcf(c_17415,plain,
k5_relat_1(k6_relat_1(sK0),sK2) = sK2,
inference(demodulation,[status(thm)],[c_16452,c_17409]) ).
tcf(c_18587,plain,
( ( k9_relset_2(sK0,sK0,sK1,k6_relat_1(sK0),sK2) = k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1)) )
| ( k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1)) != k5_relat_1(k6_relat_1(sK0),sK2) )
| ( k9_relset_2(sK0,sK0,sK1,k6_relat_1(sK0),sK2) != k5_relat_1(k6_relat_1(sK0),sK2) ) ),
inference(instantiation,[status(thm)],[c_1453]) ).
tcf(c_20609,plain,
m1_relset_1(k6_relat_1(sK1),sK1,sK1),
inference(instantiation,[status(thm)],[c_516]) ).
tcf(c_22361,plain,
! [X0: $i] :
( ( X0 = k7_relset_1(sK0,sK1,sK1,sK1,sK2,k6_relat_1(sK1)) )
| ( X0 != sK2 )
| ( k7_relset_1(sK0,sK1,sK1,sK1,sK2,k6_relat_1(sK1)) != sK2 ) ),
inference(instantiation,[status(thm)],[c_9814]) ).
tcf(c_34117,plain,
! [X0: $i] :
( ( k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1)) = k5_relat_1(k6_relat_1(sK0),sK2) )
| ( k5_relat_1(k6_relat_1(sK0),sK2) != X0 )
| ( k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1)) != X0 ) ),
inference(instantiation,[status(thm)],[c_767]) ).
tcf(c_34673,plain,
! [X0: $i,X1: $i] :
( ( k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1)) = X1 )
| ( X1 != X0 )
| ( k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1)) != X0 ) ),
inference(instantiation,[status(thm)],[c_767]) ).
tcf(c_50452,plain,
( ( k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1)) = k5_relat_1(k6_relat_1(sK0),sK2) )
| ( k5_relat_1(k6_relat_1(sK0),sK2) != k7_relset_1(sK0,sK1,sK1,sK1,sK2,k6_relat_1(sK1)) )
| ( k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1)) != k7_relset_1(sK0,sK1,sK1,sK1,sK2,k6_relat_1(sK1)) ) ),
inference(instantiation,[status(thm)],[c_34117]) ).
tcf(c_50453,plain,
( ( k5_relat_1(k6_relat_1(sK0),sK2) = k7_relset_1(sK0,sK1,sK1,sK1,sK2,k6_relat_1(sK1)) )
| ( k5_relat_1(k6_relat_1(sK0),sK2) != sK2 )
| ( k7_relset_1(sK0,sK1,sK1,sK1,sK2,k6_relat_1(sK1)) != sK2 ) ),
inference(instantiation,[status(thm)],[c_22361]) ).
tcf(c_73915,plain,
( ( k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1)) = k5_relat_1(sK2,k6_relat_1(sK1)) )
| ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(k6_relat_1(sK1),k1_zfmisc_1(k2_zfmisc_1(sK1,sK1))) ),
inference(instantiation,[status(thm)],[c_2495]) ).
tcf(c_83601,plain,
! [X0: $i] :
( ( k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1)) = X0 )
| ( X0 != k5_relat_1(sK2,k6_relat_1(sK1)) )
| ( k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1)) != k5_relat_1(sK2,k6_relat_1(sK1)) ) ),
inference(instantiation,[status(thm)],[c_34673]) ).
tcf(c_97135,plain,
( ( k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1)) = k7_relset_1(sK0,sK1,sK1,sK1,sK2,k6_relat_1(sK1)) )
| ( k9_relset_2(sK0,sK1,sK1,sK2,k6_relat_1(sK1)) != k5_relat_1(sK2,k6_relat_1(sK1)) )
| ( k7_relset_1(sK0,sK1,sK1,sK1,sK2,k6_relat_1(sK1)) != k5_relat_1(sK2,k6_relat_1(sK1)) ) ),
inference(instantiation,[status(thm)],[c_83601]) ).
tcf(c_97136,plain,
( ( k7_relset_1(sK0,sK1,sK1,sK1,sK2,k6_relat_1(sK1)) = k5_relat_1(sK2,k6_relat_1(sK1)) )
| ~ m1_relset_1(sK2,sK0,sK1)
| ~ m1_relset_1(k6_relat_1(sK1),sK1,sK1) ),
inference(instantiation,[status(thm)],[c_2615]) ).
tcf(c_97137,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_97136,c_97135,c_73915,c_50453,c_50452,c_20609,c_18587,c_17415,c_13424,c_7698,c_2169,c_2165,c_1350,c_517,c_481,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU451+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/5.38 % Computer : n006.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Thu Sep 24 14:20:49 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.38 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.42 Running first-order theorem proving
% 0.15/5.42 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
% 0.15/5.43
% 0.15/5.43 % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.43
% 0.15/5.44 % Detected problem language: tptp
% 0.15/5.45 % Proving...
% 43.53/11.74 % SZS status Started for theBenchmark.p
% 43.53/11.74 % SZS status Theorem for theBenchmark.p
% 43.53/11.74
% 43.53/11.74 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 43.53/11.74
% 43.53/11.74 % ------ iProver source info
% 43.53/11.74
% 43.53/11.74 % git: date: 2026-07-19 20:42:38 +0200
% 43.53/11.74 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 43.53/11.74 % git: non_committed_changes: false
% 43.53/11.74
% 43.53/11.74 % ------ Parsing...
% 43.53/11.74 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 43.53/11.74
% 43.53/11.74 % ------ Preprocessing... sup_sim: 0 sf_s rm: 7 0s sf_e pe_s pe:1:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 43.53/11.74
% 43.53/11.74 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 43.53/11.74
% 43.53/11.74 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 43.53/11.74 % ------ Proving...
% 43.53/11.74 % ------ Problem Properties
% 43.53/11.74
% 43.53/11.74 %
% 43.53/11.74 % clauses 37
% 43.53/11.74 % conjectures 1
% 43.53/11.74 % EPR 7
% 43.53/11.74 % Horn 35
% 43.53/11.74 % unary 19
% 43.53/11.74 % binary 7
% 43.53/11.74 % lits 66
% 43.53/11.74 % lits eq 6
% 43.53/11.74 % fd_pure 0
% 43.53/11.74 % fd_pseudo 0
% 43.53/11.74 % fd_cond 0
% 43.53/11.74 % fd_pseudo_cond 1
% 43.53/11.74 % AC symbols 0
% 43.53/11.74
% 43.53/11.74 % ------ Schedule dynamic 5 is on
% 43.53/11.74
% 43.53/11.74 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 43.53/11.74
% 43.53/11.74
% 43.53/11.74 % ------
% 43.53/11.74 % Current options:
% 43.53/11.74 % ------
% 43.53/11.74
% 43.53/11.74
% 43.53/11.74 %
% 43.53/11.74
% 43.53/11.74 % ------ Proving...
% 43.53/11.74 %
% 43.53/11.74
% 43.53/11.74 % SZS status Theorem for theBenchmark.p
% 43.53/11.74
% 43.53/11.74 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 43.53/11.74
% 43.53/11.74
%------------------------------------------------------------------------------