%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SEU422+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n001.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 02:57:27 PM UTC 2026
% Result : Theorem 4.40s 1.27s
% Output : CNFRefutation 4.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 10
% Syntax : Number of formulae : 85 ( 21 unt; 3 def)
% Number of atoms : 329 ( 20 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 245 ( 96 ~; 107 |; 28 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 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 : 9 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 125 ( 0 sgn 116 !; 9 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> m1_subset_1(a_2_0_relset_2(X0,X1),k1_zfmisc_1(k1_zfmisc_1(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_relset_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ~ v1_xboole_0(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> m1_subset_1(a_2_0_relset_2(X0,X1),k1_zfmisc_1(k1_zfmisc_1(X0))) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f5,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f12,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f15,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X2,k1_zfmisc_1(X1))
& ~ v1_xboole_0(X1) )
=> ( r2_hidden(X0,a_2_0_relset_2(X1,X2))
<=> ? [X3] :
( r2_hidden(X3,X2)
& X0 = k1_tarski(X3)
& m1_subset_1(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fraenkel_a_2_0_relset_2) ).
fof(f23,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f25,axiom,
! [X0,X1] :
( r1_tarski(k1_tarski(X0),X1)
<=> r2_hidden(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_zfmisc_1) ).
fof(f26,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f41,plain,
? [X0] :
( ~ v1_xboole_0(X0)
& ? [X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
& ~ m1_subset_1(a_2_0_relset_2(X0,X1),k1_zfmisc_1(k1_zfmisc_1(X0))) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f43,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ( r2_hidden(X0,a_2_0_relset_2(X1,X2))
<=> ? [X3] :
( r2_hidden(X3,X2)
& X0 = k1_tarski(X3)
& m1_subset_1(X3,X1) ) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ( r2_hidden(X0,a_2_0_relset_2(X1,X2))
<=> ? [X3] :
( r2_hidden(X3,X2)
& X0 = k1_tarski(X3)
& m1_subset_1(X3,X1) ) ) ),
inference(flattening,[],[f44]) ).
fof(f48,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f49,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f48]) ).
fof(f57,plain,
( ~ v1_xboole_0(sK0)
& m1_subset_1(sK1,k1_zfmisc_1(sK0))
& ~ m1_subset_1(a_2_0_relset_2(sK0,sK1),k1_zfmisc_1(k1_zfmisc_1(sK0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f41]) ).
fof(f58,plain,
! [X0,X1] :
( ( ~ r1_tarski(X0,X1)
| ! [X2] :
( ~ r2_hidden(X2,X0)
| r2_hidden(X2,X1) ) )
& ( ? [X2] :
( r2_hidden(X2,X0)
& ~ r2_hidden(X2,X1) )
| r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f59,plain,
! [X0,X1] :
( ( ~ r1_tarski(X0,X1)
| ! [X3] :
( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) )
& ( ? [X2] :
( r2_hidden(X2,X0)
& ~ r2_hidden(X2,X1) )
| r1_tarski(X0,X1) ) ),
inference(rectify,[],[f58]) ).
fof(f60,plain,
! [X0,X1] :
( ( ~ r1_tarski(X0,X1)
| ! [X3] :
( ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ) )
& ( ( r2_hidden(sK2(X0,X1),X0)
& ~ r2_hidden(sK2(X0,X1),X1) )
| r1_tarski(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f59]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ( ( ~ r2_hidden(X0,a_2_0_relset_2(X1,X2))
| ? [X3] :
( r2_hidden(X3,X2)
& X0 = k1_tarski(X3)
& m1_subset_1(X3,X1) ) )
& ( ! [X3] :
( ~ r2_hidden(X3,X2)
| k1_tarski(X3) != X0
| ~ m1_subset_1(X3,X1) )
| r2_hidden(X0,a_2_0_relset_2(X1,X2)) ) ) ),
inference(nnf_transformation,[],[f45]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ( ( ~ r2_hidden(X0,a_2_0_relset_2(X1,X2))
| ? [X4] :
( r2_hidden(X4,X2)
& k1_tarski(X4) = X0
& m1_subset_1(X4,X1) ) )
& ( ! [X3] :
( ~ r2_hidden(X3,X2)
| k1_tarski(X3) != X0
| ~ m1_subset_1(X3,X1) )
| r2_hidden(X0,a_2_0_relset_2(X1,X2)) ) ) ),
inference(rectify,[],[f62]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ( ( ~ r2_hidden(X0,a_2_0_relset_2(X1,X2))
| ( r2_hidden(sK4(X0,X1,X2),X2)
& k1_tarski(sK4(X0,X1,X2)) = X0
& m1_subset_1(sK4(X0,X1,X2),X1) ) )
& ( ! [X3] :
( ~ r2_hidden(X3,X2)
| k1_tarski(X3) != X0
| ~ m1_subset_1(X3,X1) )
| r2_hidden(X0,a_2_0_relset_2(X1,X2)) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X4,sK4(X0,X1,X2))],[f63]) ).
fof(f71,plain,
! [X0,X1] :
( ( ~ r1_tarski(k1_tarski(X0),X1)
| r2_hidden(X0,X1) )
& ( ~ r2_hidden(X0,X1)
| r1_tarski(k1_tarski(X0),X1) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f72,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,[],[f26]) ).
fof(f73,plain,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f57]) ).
fof(f74,plain,
m1_subset_1(sK1,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f57]) ).
fof(f75,plain,
~ m1_subset_1(a_2_0_relset_2(sK0,sK1),k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(cnf_transformation,[],[f57]) ).
fof(f77,plain,
! [X3,X0,X1] :
( ~ r1_tarski(X0,X1)
| ~ r2_hidden(X3,X0)
| r2_hidden(X3,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f78,plain,
! [X0,X1] :
( r2_hidden(sK2(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f79,plain,
! [X0,X1] :
( ~ r2_hidden(sK2(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f60]) ).
fof(f82,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f85,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ~ r2_hidden(X0,a_2_0_relset_2(X1,X2))
| r2_hidden(sK4(X0,X1,X2),X2) ),
inference(cnf_transformation,[],[f64]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1)
| ~ r2_hidden(X0,a_2_0_relset_2(X1,X2))
| k1_tarski(sK4(X0,X1,X2)) = X0 ),
inference(cnf_transformation,[],[f64]) ).
fof(f97,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f100,plain,
! [X0,X1] :
( ~ r1_tarski(k1_tarski(X0),X1)
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f101,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| r1_tarski(k1_tarski(X0),X1) ),
inference(cnf_transformation,[],[f71]) ).
fof(f102,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f103,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_49,negated_conjecture,
~ m1_subset_1(a_2_0_relset_2(sK0,sK1),k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(cnf_transformation,[],[f75]) ).
tcf(c_50,negated_conjecture,
m1_subset_1(sK1,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f74]) ).
tcf(c_51,negated_conjecture,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f73]) ).
tcf(c_53,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ r2_hidden(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| r2_hidden(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_55,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,X2)
| ~ r1_tarski(X1,X2)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f77]) ).
tcf(c_58,plain,
! [X0: $i] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f82]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| ( k1_tarski(sK4(X0,X1,X2)) = X0 )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X0,a_2_0_relset_2(X1,X2)) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X1)
| r2_hidden(sK4(X0,X1,X2),X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| ~ r2_hidden(X0,a_2_0_relset_2(X1,X2)) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_73,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i] :
( r1_tarski(k1_tarski(X0),X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i] :
( r2_hidden(X0,X1)
| ~ r1_tarski(k1_tarski(X0),X1) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_1450,definition,
iPr_def_10 = k1_zfmisc_1(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_10])],[]) ).
tcf(c_1451,definition,
iPr_def_11 = a_2_0_relset_2(sK0,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_11])],[]) ).
tcf(c_1452,definition,
iPr_def_12 = k1_zfmisc_1(iPr_def_10),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_1453,negated_conjecture,
~ v1_xboole_0(sK0),
inference(demodulation,[status(thm)],[c_51]) ).
tcf(c_1454,negated_conjecture,
m1_subset_1(sK1,iPr_def_10),
inference(demodulation,[status(thm)],[c_50,c_1450]) ).
tcf(c_1455,negated_conjecture,
~ m1_subset_1(iPr_def_11,iPr_def_12),
inference(demodulation,[status(thm)],[c_49,c_1452,c_1451]) ).
tcf(c_2100,plain,
~ v1_xboole_0(iPr_def_10),
inference(superposition,[status(thm)],[c_1450,c_58]) ).
tcf(c_2179,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_10)
| ~ r1_tarski(X0,sK0) ),
inference(superposition,[status(thm)],[c_1450,c_78]) ).
tcf(c_2180,plain,
! [X0: $i] :
( m1_subset_1(X0,iPr_def_12)
| ~ r1_tarski(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_1452,c_78]) ).
tcf(c_2193,plain,
! [X0: $i] :
( m1_subset_1(k1_tarski(X0),iPr_def_10)
| ~ r2_hidden(X0,sK0) ),
inference(superposition,[status(thm)],[c_76,c_2179]) ).
tcf(c_2210,plain,
! [X0: $i] :
( r1_tarski(X0,sK0)
| ~ m1_subset_1(X0,iPr_def_10) ),
inference(superposition,[status(thm)],[c_1450,c_79]) ).
tcf(c_2646,plain,
! [X0: $i] :
( v1_xboole_0(sK0)
| ( k1_tarski(sK4(X0,sK0,sK1)) = X0 )
| ~ r2_hidden(X0,iPr_def_11)
| ~ m1_subset_1(sK1,k1_zfmisc_1(sK0)) ),
inference(superposition,[status(thm)],[c_1451,c_63]) ).
tcf(c_2647,plain,
! [X0: $i] :
( v1_xboole_0(sK0)
| ( k1_tarski(sK4(X0,sK0,sK1)) = X0 )
| ~ m1_subset_1(sK1,iPr_def_10)
| ~ r2_hidden(X0,iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_2646,c_1450]) ).
tcf(c_2648,plain,
! [X0: $i] :
( ( k1_tarski(sK4(X0,sK0,sK1)) = X0 )
| ~ r2_hidden(X0,iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2647,c_1453,c_1454]) ).
tcf(c_2733,plain,
! [X0: $i] :
( r1_tarski(iPr_def_11,X0)
| ( k1_tarski(sK4(sK2(iPr_def_11,X0),sK0,sK1)) = sK2(iPr_def_11,X0) ) ),
inference(superposition,[status(thm)],[c_54,c_2648]) ).
tcf(c_2783,plain,
( m1_subset_1(iPr_def_11,iPr_def_12)
| ( k1_tarski(sK4(sK2(iPr_def_11,iPr_def_10),sK0,sK1)) = sK2(iPr_def_11,iPr_def_10) ) ),
inference(superposition,[status(thm)],[c_2733,c_2180]) ).
tcf(c_2784,plain,
k1_tarski(sK4(sK2(iPr_def_11,iPr_def_10),sK0,sK1)) = sK2(iPr_def_11,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_2783,c_1455]) ).
tcf(c_2794,plain,
! [X0: $i] :
( r2_hidden(sK4(sK2(iPr_def_11,iPr_def_10),sK0,sK1),X0)
| ~ r1_tarski(sK2(iPr_def_11,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_2784,c_77]) ).
tcf(c_2795,plain,
! [X0: $i] :
( r1_tarski(sK2(iPr_def_11,iPr_def_10),X0)
| ~ r2_hidden(sK4(sK2(iPr_def_11,iPr_def_10),sK0,sK1),X0) ),
inference(superposition,[status(thm)],[c_2784,c_76]) ).
tcf(c_2918,plain,
r1_tarski(sK1,sK0),
inference(superposition,[status(thm)],[c_1454,c_2210]) ).
tcf(c_3014,plain,
! [X0: $i,X1: $i] :
( r2_hidden(sK4(sK2(iPr_def_11,iPr_def_10),sK0,sK1),X1)
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(sK2(iPr_def_11,iPr_def_10),X0) ),
inference(superposition,[status(thm)],[c_2794,c_55]) ).
tcf(c_3082,plain,
( v1_xboole_0(sK0)
| r1_tarski(sK2(iPr_def_11,iPr_def_10),sK1)
| ~ m1_subset_1(sK1,k1_zfmisc_1(sK0))
| ~ r2_hidden(sK2(iPr_def_11,iPr_def_10),a_2_0_relset_2(sK0,sK1)) ),
inference(superposition,[status(thm)],[c_64,c_2795]) ).
tcf(c_3093,plain,
( v1_xboole_0(sK0)
| r1_tarski(sK2(iPr_def_11,iPr_def_10),sK1)
| ~ m1_subset_1(sK1,iPr_def_10)
| ~ r2_hidden(sK2(iPr_def_11,iPr_def_10),iPr_def_11) ),
inference(light_normalisation,[status(thm)],[c_3082,c_1450,c_1451]) ).
tcf(c_3094,plain,
( r1_tarski(sK2(iPr_def_11,iPr_def_10),sK1)
| ~ r2_hidden(sK2(iPr_def_11,iPr_def_10),iPr_def_11) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3093,c_1453,c_1454]) ).
tcf(c_3118,plain,
( r1_tarski(iPr_def_11,iPr_def_10)
| r1_tarski(sK2(iPr_def_11,iPr_def_10),sK1) ),
inference(superposition,[status(thm)],[c_54,c_3094]) ).
tcf(c_3672,plain,
( m1_subset_1(sK2(iPr_def_11,iPr_def_10),iPr_def_10)
| ~ r2_hidden(sK4(sK2(iPr_def_11,iPr_def_10),sK0,sK1),sK0) ),
inference(superposition,[status(thm)],[c_2784,c_2193]) ).
tcf(c_4219,plain,
! [X0: $i] :
( r1_tarski(iPr_def_11,iPr_def_10)
| r2_hidden(sK4(sK2(iPr_def_11,iPr_def_10),sK0,sK1),X0)
| ~ r1_tarski(sK1,X0) ),
inference(superposition,[status(thm)],[c_3118,c_3014]) ).
tcf(c_4242,plain,
( r1_tarski(iPr_def_11,iPr_def_10)
| m1_subset_1(sK2(iPr_def_11,iPr_def_10),iPr_def_10)
| ~ r1_tarski(sK1,sK0) ),
inference(superposition,[status(thm)],[c_4219,c_3672]) ).
tcf(c_4252,plain,
( r1_tarski(iPr_def_11,iPr_def_10)
| m1_subset_1(sK2(iPr_def_11,iPr_def_10),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4242,c_2918]) ).
tcf(c_4353,plain,
( v1_xboole_0(iPr_def_10)
| r1_tarski(iPr_def_11,iPr_def_10)
| r2_hidden(sK2(iPr_def_11,iPr_def_10),iPr_def_10) ),
inference(superposition,[status(thm)],[c_4252,c_73]) ).
tcf(c_4357,plain,
( r1_tarski(iPr_def_11,iPr_def_10)
| r2_hidden(sK2(iPr_def_11,iPr_def_10),iPr_def_10) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4353,c_2100]) ).
tcf(c_4812,plain,
r1_tarski(iPr_def_11,iPr_def_10),
inference(forward_subsumption_resolution,[status(thm)],[c_4357,c_53]) ).
tcf(c_4815,plain,
m1_subset_1(iPr_def_11,iPr_def_12),
inference(superposition,[status(thm)],[c_4812,c_2180]) ).
tcf(c_4816,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4815,c_1455]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU422+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.35 % Computer : n001.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 14:14:08 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/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...
% 4.40/1.27 % SZS status Started for theBenchmark.p
% 4.40/1.27 % SZS status Theorem for theBenchmark.p
% 4.40/1.27
% 4.40/1.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.40/1.27
% 4.40/1.27 % ------ iProver source info
% 4.40/1.27
% 4.40/1.27 % git: date: 2026-07-19 20:42:38 +0200
% 4.40/1.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.40/1.27 % git: non_committed_changes: false
% 4.40/1.27
% 4.40/1.27 % ------ Parsing...
% 4.40/1.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.40/1.27
% 4.40/1.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 4.40/1.27
% 4.40/1.27 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.40/1.27
% 4.40/1.27 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.40/1.27 % ------ Proving...
% 4.40/1.27 % ------ Problem Properties
% 4.40/1.27
% 4.40/1.27 %
% 4.40/1.27 % clauses 38
% 4.40/1.27 % conjectures 3
% 4.40/1.27 % EPR 16
% 4.40/1.27 % Horn 31
% 4.40/1.27 % unary 15
% 4.40/1.27 % binary 12
% 4.40/1.27 % lits 75
% 4.40/1.27 % lits eq 8
% 4.40/1.27 % fd_pure 0
% 4.40/1.27 % fd_pseudo 0
% 4.40/1.27 % fd_cond 1
% 4.40/1.27 % fd_pseudo_cond 3
% 4.40/1.27 % AC symbols 0
% 4.40/1.27
% 4.40/1.27 % ------ Schedule dynamic 5 is on
% 4.40/1.27
% 4.40/1.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.40/1.27
% 4.40/1.27
% 4.40/1.27 % ------
% 4.40/1.27 % Current options:
% 4.40/1.27 % ------
% 4.40/1.27
% 4.40/1.27
% 4.40/1.27 %
% 4.40/1.27
% 4.40/1.27 % ------ Proving...
% 4.40/1.27 %
% 4.40/1.27
% 4.40/1.27 % SZS status Theorem for theBenchmark.p
% 4.40/1.27
% 4.40/1.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.40/1.27
% 4.40/1.27
%------------------------------------------------------------------------------