%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU417+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 : n019.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 02:57:25 PM UTC 2026
% Result : Theorem 8.24s 1.72s
% Output : CNFRefutation 8.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 79 ( 24 unt; 0 def)
% Number of atoms : 197 ( 35 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 219 ( 101 ~; 93 |; 9 &)
% ( 1 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-3 aty)
% Number of variables : 152 ( 0 sgn 149 !; 3 ?; 46 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> r1_tarski(k5_subset_1(X0,k8_setfam_1(X0,X1),k8_setfam_1(X0,X2)),k8_setfam_1(X0,k1_relset_2(X0,X1,X2))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> r1_tarski(k5_subset_1(X0,k8_setfam_1(X0,X1),k8_setfam_1(X0,X2)),k8_setfam_1(X0,k1_relset_2(X0,X1,X2))) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,axiom,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
& m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) )
=> m1_subset_1(k1_relset_2(X0,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_relset_2) ).
fof(f15,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_subset_1) ).
fof(f35,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
& m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) )
=> k1_relset_2(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_relset_2) ).
fof(f36,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X0))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
=> k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_subset_1) ).
fof(f41,axiom,
! [X0,X1,X2] : r1_tarski(k3_xboole_0(X0,X1),k2_xboole_0(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_xboole_1) ).
fof(f44,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(f46,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ( r1_tarski(X1,X2)
=> r1_tarski(k8_setfam_1(X0,X2),k8_setfam_1(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t59_setfam_1) ).
fof(f51,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ( X1 = k4_subset_1(k1_zfmisc_1(X0),X2,X3)
=> k8_setfam_1(X0,X1) = k5_subset_1(X0,k8_setfam_1(X0,X2),k8_setfam_1(X0,X3)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_mssubfam) ).
fof(f55,plain,
? [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
& ? [X2] :
( m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
& ~ r1_tarski(k5_subset_1(X0,k8_setfam_1(X0,X1),k8_setfam_1(X0,X2)),k8_setfam_1(X0,k1_relset_2(X0,X1,X2))) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f56,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0)))
| k4_subset_1(k1_zfmisc_1(X0),X2,X3) != X1
| k8_setfam_1(X0,X1) = k5_subset_1(X0,k8_setfam_1(X0,X2),k8_setfam_1(X0,X3)) ) ) ),
inference(ennf_transformation,[],[f51]) ).
fof(f57,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0)))
| k4_subset_1(k1_zfmisc_1(X0),X2,X3) != X1
| k8_setfam_1(X0,X1) = k5_subset_1(X0,k8_setfam_1(X0,X2),k8_setfam_1(X0,X3)) ) ) ),
inference(flattening,[],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ r1_tarski(X1,X2)
| r1_tarski(k8_setfam_1(X0,X2),k8_setfam_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f59,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ! [X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ r1_tarski(X1,X2)
| r1_tarski(k8_setfam_1(X0,X2),k8_setfam_1(X0,X1)) ) ),
inference(flattening,[],[f58]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| k1_relset_2(X0,X1,X2) = k3_xboole_0(X1,X2) ),
inference(ennf_transformation,[],[f35]) ).
fof(f70,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| k1_relset_2(X0,X1,X2) = k3_xboole_0(X1,X2) ),
inference(flattening,[],[f69]) ).
fof(f73,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| m1_subset_1(k1_relset_2(X0,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f10]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| m1_subset_1(k1_relset_2(X0,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(flattening,[],[f73]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2) ),
inference(ennf_transformation,[],[f36]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2) ),
inference(flattening,[],[f78]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f15]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(flattening,[],[f82]) ).
fof(f93,plain,
( m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
& m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
& ~ r1_tarski(k5_subset_1(sK0,k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,sK2)),k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f55]) ).
fof(f95,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,[],[f44]) ).
fof(f100,plain,
m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(cnf_transformation,[],[f93]) ).
fof(f101,plain,
m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(cnf_transformation,[],[f93]) ).
fof(f102,plain,
~ r1_tarski(k5_subset_1(sK0,k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,sK2)),k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2))),
inference(cnf_transformation,[],[f93]) ).
fof(f104,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0)))
| k4_subset_1(k1_zfmisc_1(X0),X2,X3) != X1
| k8_setfam_1(X0,X1) = k5_subset_1(X0,k8_setfam_1(X0,X2),k8_setfam_1(X0,X3)) ),
inference(cnf_transformation,[],[f57]) ).
fof(f105,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ r1_tarski(X1,X2)
| r1_tarski(k8_setfam_1(X0,X2),k8_setfam_1(X0,X1)) ),
inference(cnf_transformation,[],[f59]) ).
fof(f107,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f108,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f95]) ).
fof(f109,plain,
! [X2,X0,X1] : r1_tarski(k3_xboole_0(X0,X1),k2_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f41]) ).
fof(f115,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| k1_relset_2(X0,X1,X2) = k3_xboole_0(X1,X2) ),
inference(cnf_transformation,[],[f70]) ).
fof(f117,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| m1_subset_1(k1_relset_2(X0,X1,X2),k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f74]) ).
fof(f120,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| k4_subset_1(X0,X1,X2) = k2_xboole_0(X1,X2) ),
inference(cnf_transformation,[],[f79]) ).
fof(f122,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| m1_subset_1(k4_subset_1(X0,X1,X2),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f83]) ).
fof(f127,plain,
! [X0,X1] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f6]) ).
fof(f145,plain,
! [X2,X3,X0] :
( ~ m1_subset_1(k4_subset_1(k1_zfmisc_1(X0),X2,X3),k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(k1_zfmisc_1(X0)))
| k5_subset_1(X0,k8_setfam_1(X0,X2),k8_setfam_1(X0,X3)) = k8_setfam_1(X0,k4_subset_1(k1_zfmisc_1(X0),X2,X3)) ),
inference(equality_resolution,[],[f104]) ).
tcf(c_49,negated_conjecture,
~ r1_tarski(k5_subset_1(sK0,k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,sK2)),k8_setfam_1(sK0,k1_relset_2(sK0,sK1,sK2))),
inference(cnf_transformation,[],[f102]) ).
tcf(c_50,negated_conjecture,
m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(cnf_transformation,[],[f101]) ).
tcf(c_51,negated_conjecture,
m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(cnf_transformation,[],[f100]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k5_subset_1(X0,k8_setfam_1(X0,X1),k8_setfam_1(X0,X2)) = k8_setfam_1(X0,k4_subset_1(k1_zfmisc_1(X0),X1,X2)) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| ~ m1_subset_1(k4_subset_1(k1_zfmisc_1(X0),X1,X2),k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f145]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i,X2: $i] :
( r1_tarski(k8_setfam_1(X1,X0),k8_setfam_1(X1,X2))
| ~ r1_tarski(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_56,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
tcf(c_57,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i,X2: $i] : r1_tarski(k3_xboole_0(X0,X1),k2_xboole_0(X0,X2)),
inference(cnf_transformation,[],[f109]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_relset_2(X1,X2,X0) = k3_xboole_0(X2,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f115]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k1_relset_2(X1,X2,X0),k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X2,k1_zfmisc_1(k1_zfmisc_1(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(X1))) ),
inference(cnf_transformation,[],[f117]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_subset_1(X1,X2,X0) = k2_xboole_0(X2,X0) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f120]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k4_subset_1(X1,X2,X0),k1_zfmisc_1(X1))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f122]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] : k2_xboole_0(X0,X1) = k2_xboole_0(X1,X0),
inference(cnf_transformation,[],[f127]) ).
tcf(c_131,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_56]) ).
tcf(c_218,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_subset_1(X1,X0,X2) = k2_xboole_0(X0,X2) )
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_69,c_131]) ).
tcf(c_220,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k4_subset_1(X1,X0,X2),k1_zfmisc_1(X1))
| ~ r1_tarski(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(bin_hyper_res,[status(thm)],[c_71,c_131]) ).
tcf(c_546,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_56]) ).
tcf(c_621,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k4_subset_1(X1,X0,X2) = k2_xboole_0(X0,X2) )
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_218,c_546]) ).
tcf(c_623,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(k4_subset_1(X1,X0,X2),k1_zfmisc_1(X1))
| ~ r1_tarski(X2,X1)
| ~ r1_tarski(X0,X1) ),
inference(bin_hyper_res,[status(thm)],[c_220,c_546]) ).
tcf(c_1646,plain,
r1_tarski(sK2,k1_zfmisc_1(sK0)),
inference(superposition,[status(thm)],[c_50,c_57]) ).
tcf(c_1647,plain,
r1_tarski(sK1,k1_zfmisc_1(sK0)),
inference(superposition,[status(thm)],[c_51,c_57]) ).
tcf(c_1886,plain,
! [X0: $i] :
( ( k1_relset_2(sK0,X0,sK2) = k3_xboole_0(X0,sK2) )
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(superposition,[status(thm)],[c_50,c_64]) ).
tcf(c_2134,plain,
k1_relset_2(sK0,sK1,sK2) = k3_xboole_0(sK1,sK2),
inference(superposition,[status(thm)],[c_51,c_1886]) ).
tcf(c_2158,plain,
~ r1_tarski(k5_subset_1(sK0,k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,sK2)),k8_setfam_1(sK0,k3_xboole_0(sK1,sK2))),
inference(demodulation,[status(thm)],[c_49,c_2134]) ).
tcf(c_2177,plain,
( m1_subset_1(k3_xboole_0(sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(superposition,[status(thm)],[c_2134,c_66]) ).
tcf(c_2178,plain,
m1_subset_1(k3_xboole_0(sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_2177,c_50,c_51]) ).
tcf(c_5239,plain,
! [X0: $i] :
( ( k4_subset_1(k1_zfmisc_1(sK0),sK2,X0) = k2_xboole_0(sK2,X0) )
| ~ r1_tarski(X0,k1_zfmisc_1(sK0)) ),
inference(superposition,[status(thm)],[c_1646,c_621]) ).
tcf(c_5240,plain,
! [X0: $i] :
( ( k4_subset_1(k1_zfmisc_1(sK0),sK1,X0) = k2_xboole_0(sK1,X0) )
| ~ r1_tarski(X0,k1_zfmisc_1(sK0)) ),
inference(superposition,[status(thm)],[c_1647,c_621]) ).
tcf(c_8206,plain,
k4_subset_1(k1_zfmisc_1(sK0),sK2,sK1) = k2_xboole_0(sK2,sK1),
inference(superposition,[status(thm)],[c_1647,c_5239]) ).
tcf(c_8310,plain,
k4_subset_1(k1_zfmisc_1(sK0),sK2,sK1) = k2_xboole_0(sK1,sK2),
inference(demodulation,[status(thm)],[c_8206,c_76]) ).
tcf(c_8313,plain,
( m1_subset_1(k2_xboole_0(sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ r1_tarski(sK2,k1_zfmisc_1(sK0))
| ~ r1_tarski(sK1,k1_zfmisc_1(sK0)) ),
inference(superposition,[status(thm)],[c_8310,c_623]) ).
tcf(c_8317,plain,
m1_subset_1(k2_xboole_0(sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_8313,c_1646,c_1647]) ).
tcf(c_8615,plain,
k4_subset_1(k1_zfmisc_1(sK0),sK1,sK2) = k2_xboole_0(sK1,sK2),
inference(superposition,[status(thm)],[c_1646,c_5240]) ).
tcf(c_8929,plain,
( ( k5_subset_1(sK0,k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,sK2)) = k8_setfam_1(sK0,k4_subset_1(k1_zfmisc_1(sK0),sK1,sK2)) )
| ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ m1_subset_1(k2_xboole_0(sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(superposition,[status(thm)],[c_8615,c_53]) ).
tcf(c_8933,plain,
( ( k5_subset_1(sK0,k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,sK2)) = k8_setfam_1(sK0,k2_xboole_0(sK1,sK2)) )
| ~ m1_subset_1(sK2,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ m1_subset_1(sK1,k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ m1_subset_1(k2_xboole_0(sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(light_normalisation,[status(thm)],[c_8929,c_8615]) ).
tcf(c_8934,plain,
k5_subset_1(sK0,k8_setfam_1(sK0,sK1),k8_setfam_1(sK0,sK2)) = k8_setfam_1(sK0,k2_xboole_0(sK1,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_8933,c_50,c_51,c_8317]) ).
tcf(c_8935,plain,
~ r1_tarski(k8_setfam_1(sK0,k2_xboole_0(sK1,sK2)),k8_setfam_1(sK0,k3_xboole_0(sK1,sK2))),
inference(demodulation,[status(thm)],[c_2158,c_8934]) ).
tcf(c_8949,plain,
( ~ m1_subset_1(k2_xboole_0(sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ m1_subset_1(k3_xboole_0(sK1,sK2),k1_zfmisc_1(k1_zfmisc_1(sK0)))
| ~ r1_tarski(k3_xboole_0(sK1,sK2),k2_xboole_0(sK1,sK2)) ),
inference(superposition,[status(thm)],[c_54,c_8935]) ).
tcf(c_8950,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_8949,c_8317,c_2178,c_58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU417+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.03 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n019.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Thu Sep 24 14:06:35 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 0.12/0.41
% 0.12/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.41
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 8.24/1.72 % SZS status Started for theBenchmark.p
% 8.24/1.72 % SZS status Theorem for theBenchmark.p
% 8.24/1.72
% 8.24/1.72 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.24/1.72
% 8.24/1.72 % ------ iProver source info
% 8.24/1.72
% 8.24/1.72 % git: date: 2026-07-19 20:42:38 +0200
% 8.24/1.72 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.24/1.72 % git: non_committed_changes: false
% 8.24/1.72
% 8.24/1.72 % ------ Parsing...
% 8.24/1.72 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.24/1.72
% 8.24/1.72 % ------ Preprocessing... sup_sim: 0 sf_s rm: 8 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e %
% 8.24/1.72
% 8.24/1.72 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.24/1.72
% 8.24/1.72 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.24/1.72 % ------ Proving...
% 8.24/1.72 % ------ Problem Properties
% 8.24/1.72
% 8.24/1.72 %
% 8.24/1.72 % clauses 39
% 8.24/1.72 % conjectures 3
% 8.24/1.72 % EPR 6
% 8.24/1.72 % Horn 38
% 8.24/1.72 % unary 18
% 8.24/1.72 % binary 6
% 8.24/1.72 % lits 77
% 8.24/1.72 % lits eq 18
% 8.24/1.72 % fd_pure 0
% 8.24/1.72 % fd_pseudo 0
% 8.24/1.72 % fd_cond 1
% 8.24/1.72 % fd_pseudo_cond 1
% 8.24/1.72 % AC symbols 0
% 8.24/1.72
% 8.24/1.72 % ------ Schedule dynamic 5 is on
% 8.24/1.72
% 8.24/1.72 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.24/1.72
% 8.24/1.72
% 8.24/1.72 % ------
% 8.24/1.72 % Current options:
% 8.24/1.72 % ------
% 8.24/1.72
% 8.24/1.72
% 8.24/1.72 %
% 8.24/1.72
% 8.24/1.72 % ------ Proving...
% 8.24/1.72 %
% 8.24/1.72
% 8.24/1.72 % SZS status Theorem for theBenchmark.p
% 8.24/1.72
% 8.24/1.72 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.24/1.72
% 8.24/1.72
%------------------------------------------------------------------------------