%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU449+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 : 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 : Fri Sep 25 02:57:35 PM UTC 2026
% Result : Theorem 4.07s 1.43s
% Output : CNFRefutation 4.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 9
% Syntax : Number of formulae : 79 ( 17 unt; 0 def)
% Number of atoms : 201 ( 5 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 233 ( 111 ~; 93 |; 12 &)
% ( 4 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-4 aty)
% Number of variables : 159 ( 1 sgn 154 !; 5 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4))
& r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4))
& r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f43,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f46,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_relset_1) ).
fof(f48,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(f50,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_relset_1) ).
fof(f51,axiom,
! [X0,X1,X2,X3] :
( ( m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relset_2) ).
fof(f53,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(f55,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f56,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
=> ! [X4] :
( m2_relset_1(X4,X0,X1)
=> ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
<=> r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t61_relset_2) ).
fof(f57,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f43]) ).
fof(f58,plain,
? [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(X0))
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(X1))
& ? [X4] :
( m2_relset_1(X4,X0,X1)
& ( ~ r1_tarski(X3,k8_relset_2(X0,X1,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)),X4))
| ~ r1_tarski(X2,k8_relset_2(X1,X0,k8_relset_2(X0,X1,X2,X4),k6_relset_1(X0,X1,X4))) ) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f60,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ! [X4] :
( ~ m2_relset_1(X4,X0,X1)
| ( r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
<=> r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) ) ) ) ),
inference(ennf_transformation,[],[f56]) ).
fof(f61,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
inference(ennf_transformation,[],[f51]) ).
fof(f62,plain,
! [X0,X1,X2,X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
inference(flattening,[],[f61]) ).
fof(f63,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,[],[f53]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f65,plain,
! [X0,X1,X2] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
inference(ennf_transformation,[],[f46]) ).
fof(f75,plain,
( m1_subset_1(sK2,k1_zfmisc_1(sK0))
& m1_subset_1(sK3,k1_zfmisc_1(sK1))
& m2_relset_1(sK4,sK0,sK1)
& ( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f58]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ! [X4] :
( ~ m2_relset_1(X4,X0,X1)
| ( ( ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) )
& ( ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4))) ) ) ) ) ),
inference(nnf_transformation,[],[f60]) ).
fof(f80,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,[],[f48]) ).
fof(f82,plain,
! [X0,X1] :
( ( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) )
& ( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f55]) ).
fof(f86,plain,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f75]) ).
fof(f87,plain,
m1_subset_1(sK3,k1_zfmisc_1(sK1)),
inference(cnf_transformation,[],[f75]) ).
fof(f88,plain,
m2_relset_1(sK4,sK0,sK1),
inference(cnf_transformation,[],[f75]) ).
fof(f89,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4))) ),
inference(cnf_transformation,[],[f75]) ).
fof(f96,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X4,X0,X1)
| ~ r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4)))
| r1_tarski(X3,k8_relset_2(X0,X1,X2,X4)) ),
inference(cnf_transformation,[],[f79]) ).
fof(f97,plain,
! [X2,X3,X0,X1,X4] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m2_relset_1(X4,X0,X1)
| ~ r1_tarski(X3,k8_relset_2(X0,X1,X2,X4))
| r1_tarski(X2,k8_relset_2(X1,X0,X3,k6_relset_1(X0,X1,X4))) ),
inference(cnf_transformation,[],[f79]) ).
fof(f98,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| m1_subset_1(k8_relset_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f62]) ).
fof(f99,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,[],[f63]) ).
fof(f100,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(k6_relset_1(X0,X1,X2),X1,X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f102,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f80]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k6_relset_1(X0,X1,X2) = k4_relat_1(X2) ),
inference(cnf_transformation,[],[f65]) ).
fof(f106,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f107,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f108,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f57]) ).
tcf(c_49,negated_conjecture,
( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k6_relset_1(sK0,sK1,sK4)),sK4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k6_relset_1(sK0,sK1,sK4))) ),
inference(cnf_transformation,[],[f89]) ).
tcf(c_50,negated_conjecture,
m2_relset_1(sK4,sK0,sK1),
inference(cnf_transformation,[],[f88]) ).
tcf(c_51,negated_conjecture,
m1_subset_1(sK3,k1_zfmisc_1(sK1)),
inference(cnf_transformation,[],[f87]) ).
tcf(c_52,negated_conjecture,
m1_subset_1(sK2,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f86]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X3,k8_relset_2(X2,X1,X0,k6_relset_1(X1,X2,X4)))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m2_relset_1(X4,X1,X2)
| ~ r1_tarski(X0,k8_relset_2(X1,X2,X3,X4)) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( r1_tarski(X3,k8_relset_2(X2,X1,X0,X4))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2))
| ~ m2_relset_1(X4,X2,X1)
| ~ r1_tarski(X0,k8_relset_2(X1,X2,X3,k6_relset_1(X2,X1,X4))) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_61,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(k8_relset_2(X1,X2,X3,X0),k1_zfmisc_1(X2))
| ~ m1_subset_1(X3,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_62,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,[],[f99]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(k6_relset_1(X1,X2,X0),X2,X1)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_64,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_65,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_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k6_relset_1(X1,X2,X0) = k4_relat_1(X0) )
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_71,plain,
! [X0: $i] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f108]) ).
tcf(c_136,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_relset_1(X0,X1,X2)
| m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2))) ),
inference(prop_impl_just,[status(thm)],[c_64,c_62]) ).
tcf(c_137,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(renaming,[status(thm)],[c_136]) ).
tcf(c_1554,plain,
m1_relset_1(sK4,sK0,sK1),
inference(superposition,[status(thm)],[c_50,c_65]) ).
tcf(c_1654,plain,
k6_relset_1(sK0,sK1,sK4) = k4_relat_1(sK4),
inference(superposition,[status(thm)],[c_1554,c_67]) ).
tcf(c_1656,plain,
( ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),sK4))
| ~ r1_tarski(sK2,k8_relset_2(sK1,sK0,k8_relset_2(sK0,sK1,sK2,sK4),k4_relat_1(sK4))) ),
inference(demodulation,[status(thm)],[c_49,c_1654]) ).
tcf(c_1699,plain,
( m2_relset_1(k4_relat_1(sK4),sK1,sK0)
| ~ m1_relset_1(sK4,sK0,sK1) ),
inference(superposition,[status(thm)],[c_1654,c_63]) ).
tcf(c_1700,plain,
m2_relset_1(k4_relat_1(sK4),sK1,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_1699,c_1554]) ).
tcf(c_1701,plain,
m1_relset_1(k4_relat_1(sK4),sK1,sK0),
inference(superposition,[status(thm)],[c_1700,c_65]) ).
tcf(c_1744,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k8_relset_2(sK1,sK0,X0,k4_relat_1(sK4)))
| ~ m2_relset_1(sK4,sK0,sK1)
| ~ m1_subset_1(X1,k1_zfmisc_1(sK0))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1))
| ~ r1_tarski(X0,k8_relset_2(sK0,sK1,X1,sK4)) ),
inference(superposition,[status(thm)],[c_1654,c_59]) ).
tcf(c_1748,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k8_relset_2(sK1,sK0,X0,k4_relat_1(sK4)))
| ~ m1_subset_1(X1,k1_zfmisc_1(sK0))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1))
| ~ r1_tarski(X0,k8_relset_2(sK0,sK1,X1,sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1744,c_50]) ).
tcf(c_1787,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k8_relset_2(sK0,sK1,X0,sK4))
| ~ m2_relset_1(sK4,sK0,sK1)
| ~ m1_subset_1(X1,k1_zfmisc_1(sK1))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK0))
| ~ r1_tarski(X0,k8_relset_2(sK1,sK0,X1,k4_relat_1(sK4))) ),
inference(superposition,[status(thm)],[c_1654,c_60]) ).
tcf(c_1795,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X1,k8_relset_2(sK0,sK1,X0,sK4))
| ~ m1_subset_1(X1,k1_zfmisc_1(sK1))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK0))
| ~ r1_tarski(X0,k8_relset_2(sK1,sK0,X1,k4_relat_1(sK4))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1787,c_50]) ).
tcf(c_1871,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| ~ r1_tarski(k8_relset_2(sK0,sK1,sK2,sK4),k8_relset_2(sK0,sK1,sK2,sK4))
| ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),sK4)) ),
inference(superposition,[status(thm)],[c_1748,c_1656]) ).
tcf(c_1872,plain,
( ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| ~ r1_tarski(sK3,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),sK4)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1871,c_52,c_71]) ).
tcf(c_1887,plain,
! [X0: $i] :
( r1_tarski(X0,k8_relset_2(sK0,sK1,k8_relset_2(sK1,sK0,X0,k4_relat_1(sK4)),sK4))
| ~ m1_subset_1(X0,k1_zfmisc_1(sK1))
| ~ m1_subset_1(k8_relset_2(sK1,sK0,X0,k4_relat_1(sK4)),k1_zfmisc_1(sK0)) ),
inference(superposition,[status(thm)],[c_71,c_1795]) ).
tcf(c_1917,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(sK1))
| ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| ~ m1_subset_1(k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK0)) ),
inference(superposition,[status(thm)],[c_1887,c_1872]) ).
tcf(c_1918,plain,
( ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1))
| ~ m1_subset_1(k8_relset_2(sK1,sK0,sK3,k4_relat_1(sK4)),k1_zfmisc_1(sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1917,c_51]) ).
tcf(c_1937,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(sK1))
| ~ m1_subset_1(k4_relat_1(sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1)) ),
inference(superposition,[status(thm)],[c_61,c_1918]) ).
tcf(c_1941,plain,
( ~ m1_subset_1(k4_relat_1(sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0)))
| ~ m1_subset_1(k8_relset_2(sK0,sK1,sK2,sK4),k1_zfmisc_1(sK1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1937,c_51]) ).
tcf(c_1948,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(sK0))
| ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(k4_relat_1(sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0))) ),
inference(superposition,[status(thm)],[c_61,c_1941]) ).
tcf(c_1952,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ m1_subset_1(k4_relat_1(sK4),k1_zfmisc_1(k2_zfmisc_1(sK1,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1948,c_52]) ).
tcf(c_1959,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(k2_zfmisc_1(sK0,sK1)))
| ~ r1_tarski(k4_relat_1(sK4),k2_zfmisc_1(sK1,sK0)) ),
inference(superposition,[status(thm)],[c_69,c_1952]) ).
tcf(c_2118,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(X0,k2_zfmisc_1(X1,X2))
| ~ m1_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_137,c_70]) ).
tcf(c_2121,plain,
( ~ m1_relset_1(sK4,sK0,sK1)
| ~ r1_tarski(k4_relat_1(sK4),k2_zfmisc_1(sK1,sK0)) ),
inference(superposition,[status(thm)],[c_137,c_1959]) ).
tcf(c_2126,plain,
~ r1_tarski(k4_relat_1(sK4),k2_zfmisc_1(sK1,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_2121,c_1554]) ).
tcf(c_2165,plain,
~ m1_relset_1(k4_relat_1(sK4),sK1,sK0),
inference(superposition,[status(thm)],[c_2118,c_2126]) ).
tcf(c_2166,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_2165,c_1701]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEU449+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.43 % Computer : n015.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Thu Sep 24 14:23:11 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.50 Running first-order theorem proving
% 0.17/0.50 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
% 0.26/0.51
% 0.26/0.51 % ======== iProver multi-core TPTP/SMT =========
% 0.26/0.51
% 0.26/0.51 % Detected problem language: tptp
% 0.26/0.53 % Proving...
% 4.07/1.43 % SZS status Started for theBenchmark.p
% 4.07/1.43 % SZS status Theorem for theBenchmark.p
% 4.07/1.43
% 4.07/1.43 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.07/1.43
% 4.07/1.43 % ------ iProver source info
% 4.07/1.43
% 4.07/1.43 % git: date: 2026-07-19 20:42:38 +0200
% 4.07/1.43 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.07/1.43 % git: non_committed_changes: false
% 4.07/1.43
% 4.07/1.43 % ------ Parsing...
% 4.07/1.43 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.07/1.43
% 4.07/1.43 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.07/1.43
% 4.07/1.43 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.07/1.43
% 4.07/1.43 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.07/1.43 % ------ Proving...
% 4.07/1.43 % ------ Problem Properties
% 4.07/1.43
% 4.07/1.43 %
% 4.07/1.43 % clauses 37
% 4.07/1.43 % conjectures 4
% 4.07/1.43 % EPR 10
% 4.07/1.43 % Horn 35
% 4.07/1.43 % unary 15
% 4.07/1.43 % binary 17
% 4.07/1.43 % lits 68
% 4.07/1.43 % lits eq 4
% 4.07/1.43 % fd_pure 0
% 4.07/1.43 % fd_pseudo 0
% 4.07/1.43 % fd_cond 0
% 4.07/1.43 % fd_pseudo_cond 1
% 4.07/1.43 % AC symbols 0
% 4.07/1.43
% 4.07/1.43 % ------ Schedule dynamic 5 is on
% 4.07/1.43
% 4.07/1.43 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.07/1.43
% 4.07/1.43
% 4.07/1.43 % ------
% 4.07/1.43 % Current options:
% 4.07/1.43 % ------
% 4.07/1.43
% 4.07/1.43
% 4.07/1.43 %
% 4.07/1.43
% 4.07/1.43 % ------ Proving...
% 4.07/1.43 %
% 4.07/1.43
% 4.07/1.43 % SZS status Theorem for theBenchmark.p
% 4.07/1.43
% 4.07/1.43 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.07/1.43
% 4.07/1.43
%------------------------------------------------------------------------------