TSTP Solution File: SEU422+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : SEU422+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri May 3 03:06:11 EDT 2024
% Result : Theorem 3.97s 1.09s
% Output : CNFRefutation 3.97s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% 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/sandbox/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,[],[f1]) ).
fof(f5,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
fof(f12,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/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)
& k1_tarski(X3) = X0
& m1_subset_1(X3,X1) ) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f25,axiom,
! [X0,X1] :
( r1_tarski(k1_tarski(X0),X1)
<=> r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f41,plain,
? [X0] :
( ? [X1] :
( ~ m1_subset_1(a_2_0_relset_2(X0,X1),k1_zfmisc_1(k1_zfmisc_1(X0)))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
& ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f43,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_relset_2(X1,X2))
<=> ? [X3] :
( r2_hidden(X3,X2)
& k1_tarski(X3) = X0
& m1_subset_1(X3,X1) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,a_2_0_relset_2(X1,X2))
<=> ? [X3] :
( r2_hidden(X3,X2)
& k1_tarski(X3) = X0
& m1_subset_1(X3,X1) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(flattening,[],[f44]) ).
fof(f48,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f49,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f48]) ).
fof(f57,plain,
( ? [X0] :
( ? [X1] :
( ~ m1_subset_1(a_2_0_relset_2(X0,X1),k1_zfmisc_1(k1_zfmisc_1(X0)))
& m1_subset_1(X1,k1_zfmisc_1(X0)) )
& ~ v1_xboole_0(X0) )
=> ( ? [X1] :
( ~ m1_subset_1(a_2_0_relset_2(sK0,X1),k1_zfmisc_1(k1_zfmisc_1(sK0)))
& m1_subset_1(X1,k1_zfmisc_1(sK0)) )
& ~ v1_xboole_0(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f58,plain,
( ? [X1] :
( ~ m1_subset_1(a_2_0_relset_2(sK0,X1),k1_zfmisc_1(k1_zfmisc_1(sK0)))
& m1_subset_1(X1,k1_zfmisc_1(sK0)) )
=> ( ~ m1_subset_1(a_2_0_relset_2(sK0,sK1),k1_zfmisc_1(k1_zfmisc_1(sK0)))
& m1_subset_1(sK1,k1_zfmisc_1(sK0)) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
( ~ m1_subset_1(a_2_0_relset_2(sK0,sK1),k1_zfmisc_1(k1_zfmisc_1(sK0)))
& m1_subset_1(sK1,k1_zfmisc_1(sK0))
& ~ v1_xboole_0(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f41,f58,f57]) ).
fof(f60,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f61,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(rectify,[],[f60]) ).
fof(f62,plain,
! [X0,X1] :
( ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) )
=> ( ~ r2_hidden(sK2(X0,X1),X1)
& r2_hidden(sK2(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK2(X0,X1),X1)
& r2_hidden(sK2(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f61,f62]) ).
fof(f66,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_relset_2(X1,X2))
| ! [X3] :
( ~ r2_hidden(X3,X2)
| k1_tarski(X3) != X0
| ~ 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)) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(nnf_transformation,[],[f45]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_relset_2(X1,X2))
| ! [X3] :
( ~ r2_hidden(X3,X2)
| k1_tarski(X3) != X0
| ~ m1_subset_1(X3,X1) ) )
& ( ? [X4] :
( r2_hidden(X4,X2)
& k1_tarski(X4) = X0
& m1_subset_1(X4,X1) )
| ~ r2_hidden(X0,a_2_0_relset_2(X1,X2)) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(rectify,[],[f66]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ? [X4] :
( r2_hidden(X4,X2)
& k1_tarski(X4) = X0
& m1_subset_1(X4,X1) )
=> ( r2_hidden(sK4(X0,X1,X2),X2)
& k1_tarski(sK4(X0,X1,X2)) = X0
& m1_subset_1(sK4(X0,X1,X2),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,a_2_0_relset_2(X1,X2))
| ! [X3] :
( ~ r2_hidden(X3,X2)
| k1_tarski(X3) != X0
| ~ m1_subset_1(X3,X1) ) )
& ( ( r2_hidden(sK4(X0,X1,X2),X2)
& k1_tarski(sK4(X0,X1,X2)) = X0
& m1_subset_1(sK4(X0,X1,X2),X1) )
| ~ r2_hidden(X0,a_2_0_relset_2(X1,X2)) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f67,f68]) ).
fof(f81,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(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,[],[f26]) ).
fof(f83,plain,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f59]) ).
fof(f84,plain,
m1_subset_1(sK1,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f59]) ).
fof(f85,plain,
~ m1_subset_1(a_2_0_relset_2(sK0,sK1),k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(cnf_transformation,[],[f59]) ).
fof(f87,plain,
! [X3,X0,X1] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0)
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f88,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| r2_hidden(sK2(X0,X1),X0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f89,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ r2_hidden(sK2(X0,X1),X1) ),
inference(cnf_transformation,[],[f63]) ).
fof(f92,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f96,plain,
! [X2,X0,X1] :
( k1_tarski(sK4(X0,X1,X2)) = X0
| ~ r2_hidden(X0,a_2_0_relset_2(X1,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f97,plain,
! [X2,X0,X1] :
( r2_hidden(sK4(X0,X1,X2),X2)
| ~ r2_hidden(X0,a_2_0_relset_2(X1,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f69]) ).
fof(f107,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f110,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| ~ r1_tarski(k1_tarski(X0),X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f111,plain,
! [X0,X1] :
( r1_tarski(k1_tarski(X0),X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f81]) ).
fof(f112,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f82]) ).
fof(f113,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
cnf(c_49,negated_conjecture,
~ m1_subset_1(a_2_0_relset_2(sK0,sK1),k1_zfmisc_1(k1_zfmisc_1(sK0))),
inference(cnf_transformation,[],[f85]) ).
cnf(c_50,negated_conjecture,
m1_subset_1(sK1,k1_zfmisc_1(sK0)),
inference(cnf_transformation,[],[f84]) ).
cnf(c_51,negated_conjecture,
~ v1_xboole_0(sK0),
inference(cnf_transformation,[],[f83]) ).
cnf(c_53,plain,
( ~ r2_hidden(sK2(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f89]) ).
cnf(c_54,plain,
( r2_hidden(sK2(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
cnf(c_55,plain,
( ~ r2_hidden(X0,X1)
| ~ r1_tarski(X1,X2)
| r2_hidden(X0,X2) ),
inference(cnf_transformation,[],[f87]) ).
cnf(c_58,plain,
~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f92]) ).
cnf(c_62,plain,
( ~ r2_hidden(X0,a_2_0_relset_2(X1,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| r2_hidden(sK4(X0,X1,X2),X2)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f97]) ).
cnf(c_63,plain,
( ~ r2_hidden(X0,a_2_0_relset_2(X1,X2))
| ~ m1_subset_1(X2,k1_zfmisc_1(X1))
| k1_tarski(sK4(X0,X1,X2)) = X0
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f96]) ).
cnf(c_73,plain,
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_76,plain,
( ~ r2_hidden(X0,X1)
| r1_tarski(k1_tarski(X0),X1) ),
inference(cnf_transformation,[],[f111]) ).
cnf(c_77,plain,
( ~ r1_tarski(k1_tarski(X0),X1)
| r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f110]) ).
cnf(c_78,plain,
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_79,plain,
( ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_1450,plain,
k1_zfmisc_1(sK0) = sP0_iProver_def,
definition ).
cnf(c_1451,plain,
a_2_0_relset_2(sK0,sK1) = sP1_iProver_def,
definition ).
cnf(c_1452,plain,
k1_zfmisc_1(sP0_iProver_def) = sP2_iProver_def,
definition ).
cnf(c_1453,negated_conjecture,
~ v1_xboole_0(sK0),
inference(demodulation,[status(thm)],[c_51]) ).
cnf(c_1454,negated_conjecture,
m1_subset_1(sK1,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_50,c_1450]) ).
cnf(c_1455,negated_conjecture,
~ m1_subset_1(sP1_iProver_def,sP2_iProver_def),
inference(demodulation,[status(thm)],[c_49,c_1452,c_1451]) ).
cnf(c_2100,plain,
~ v1_xboole_0(sP0_iProver_def),
inference(superposition,[status(thm)],[c_1450,c_58]) ).
cnf(c_2179,plain,
( ~ r1_tarski(X0,sK0)
| m1_subset_1(X0,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_1450,c_78]) ).
cnf(c_2180,plain,
( ~ r1_tarski(X0,sP0_iProver_def)
| m1_subset_1(X0,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_1452,c_78]) ).
cnf(c_2193,plain,
( ~ r2_hidden(X0,sK0)
| m1_subset_1(k1_tarski(X0),sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_76,c_2179]) ).
cnf(c_2210,plain,
( ~ m1_subset_1(X0,sP0_iProver_def)
| r1_tarski(X0,sK0) ),
inference(superposition,[status(thm)],[c_1450,c_79]) ).
cnf(c_2646,plain,
( ~ m1_subset_1(sK1,k1_zfmisc_1(sK0))
| ~ r2_hidden(X0,sP1_iProver_def)
| k1_tarski(sK4(X0,sK0,sK1)) = X0
| v1_xboole_0(sK0) ),
inference(superposition,[status(thm)],[c_1451,c_63]) ).
cnf(c_2647,plain,
( ~ r2_hidden(X0,sP1_iProver_def)
| ~ m1_subset_1(sK1,sP0_iProver_def)
| k1_tarski(sK4(X0,sK0,sK1)) = X0
| v1_xboole_0(sK0) ),
inference(light_normalisation,[status(thm)],[c_2646,c_1450]) ).
cnf(c_2648,plain,
( ~ r2_hidden(X0,sP1_iProver_def)
| k1_tarski(sK4(X0,sK0,sK1)) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_2647,c_1453,c_1454]) ).
cnf(c_2733,plain,
( k1_tarski(sK4(sK2(sP1_iProver_def,X0),sK0,sK1)) = sK2(sP1_iProver_def,X0)
| r1_tarski(sP1_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_54,c_2648]) ).
cnf(c_2783,plain,
( k1_tarski(sK4(sK2(sP1_iProver_def,sP0_iProver_def),sK0,sK1)) = sK2(sP1_iProver_def,sP0_iProver_def)
| m1_subset_1(sP1_iProver_def,sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_2733,c_2180]) ).
cnf(c_2784,plain,
k1_tarski(sK4(sK2(sP1_iProver_def,sP0_iProver_def),sK0,sK1)) = sK2(sP1_iProver_def,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_2783,c_1455]) ).
cnf(c_2794,plain,
( ~ r1_tarski(sK2(sP1_iProver_def,sP0_iProver_def),X0)
| r2_hidden(sK4(sK2(sP1_iProver_def,sP0_iProver_def),sK0,sK1),X0) ),
inference(superposition,[status(thm)],[c_2784,c_77]) ).
cnf(c_2795,plain,
( ~ r2_hidden(sK4(sK2(sP1_iProver_def,sP0_iProver_def),sK0,sK1),X0)
| r1_tarski(sK2(sP1_iProver_def,sP0_iProver_def),X0) ),
inference(superposition,[status(thm)],[c_2784,c_76]) ).
cnf(c_2918,plain,
r1_tarski(sK1,sK0),
inference(superposition,[status(thm)],[c_1454,c_2210]) ).
cnf(c_3014,plain,
( ~ r1_tarski(sK2(sP1_iProver_def,sP0_iProver_def),X0)
| ~ r1_tarski(X0,X1)
| r2_hidden(sK4(sK2(sP1_iProver_def,sP0_iProver_def),sK0,sK1),X1) ),
inference(superposition,[status(thm)],[c_2794,c_55]) ).
cnf(c_3084,plain,
( ~ r2_hidden(sK2(sP1_iProver_def,sP0_iProver_def),a_2_0_relset_2(sK0,sK1))
| ~ m1_subset_1(sK1,k1_zfmisc_1(sK0))
| r1_tarski(sK2(sP1_iProver_def,sP0_iProver_def),sK1)
| v1_xboole_0(sK0) ),
inference(superposition,[status(thm)],[c_62,c_2795]) ).
cnf(c_3095,plain,
( ~ r2_hidden(sK2(sP1_iProver_def,sP0_iProver_def),sP1_iProver_def)
| ~ m1_subset_1(sK1,sP0_iProver_def)
| r1_tarski(sK2(sP1_iProver_def,sP0_iProver_def),sK1)
| v1_xboole_0(sK0) ),
inference(light_normalisation,[status(thm)],[c_3084,c_1450,c_1451]) ).
cnf(c_3096,plain,
( ~ r2_hidden(sK2(sP1_iProver_def,sP0_iProver_def),sP1_iProver_def)
| r1_tarski(sK2(sP1_iProver_def,sP0_iProver_def),sK1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3095,c_1453,c_1454]) ).
cnf(c_3120,plain,
( r1_tarski(sK2(sP1_iProver_def,sP0_iProver_def),sK1)
| r1_tarski(sP1_iProver_def,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_54,c_3096]) ).
cnf(c_3681,plain,
( ~ r2_hidden(sK4(sK2(sP1_iProver_def,sP0_iProver_def),sK0,sK1),sK0)
| m1_subset_1(sK2(sP1_iProver_def,sP0_iProver_def),sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_2784,c_2193]) ).
cnf(c_4218,plain,
( ~ r1_tarski(sK1,X0)
| r2_hidden(sK4(sK2(sP1_iProver_def,sP0_iProver_def),sK0,sK1),X0)
| r1_tarski(sP1_iProver_def,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_3120,c_3014]) ).
cnf(c_4241,plain,
( ~ r1_tarski(sK1,sK0)
| m1_subset_1(sK2(sP1_iProver_def,sP0_iProver_def),sP0_iProver_def)
| r1_tarski(sP1_iProver_def,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_4218,c_3681]) ).
cnf(c_4251,plain,
( m1_subset_1(sK2(sP1_iProver_def,sP0_iProver_def),sP0_iProver_def)
| r1_tarski(sP1_iProver_def,sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4241,c_2918]) ).
cnf(c_4352,plain,
( r2_hidden(sK2(sP1_iProver_def,sP0_iProver_def),sP0_iProver_def)
| r1_tarski(sP1_iProver_def,sP0_iProver_def)
| v1_xboole_0(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_4251,c_73]) ).
cnf(c_4356,plain,
( r2_hidden(sK2(sP1_iProver_def,sP0_iProver_def),sP0_iProver_def)
| r1_tarski(sP1_iProver_def,sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4352,c_2100]) ).
cnf(c_4811,plain,
r1_tarski(sP1_iProver_def,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_4356,c_53]) ).
cnf(c_4814,plain,
m1_subset_1(sP1_iProver_def,sP2_iProver_def),
inference(superposition,[status(thm)],[c_4811,c_2180]) ).
cnf(c_4815,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_4814,c_1455]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : SEU422+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 17:48:29 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.97/1.09 % SZS status Started for theBenchmark.p
% 3.97/1.09 % SZS status Theorem for theBenchmark.p
% 3.97/1.09
% 3.97/1.09 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.97/1.09
% 3.97/1.09 ------ iProver source info
% 3.97/1.09
% 3.97/1.09 git: date: 2024-05-02 19:28:25 +0000
% 3.97/1.09 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.97/1.09 git: non_committed_changes: false
% 3.97/1.09
% 3.97/1.09 ------ Parsing...
% 3.97/1.09 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.97/1.09
% 3.97/1.09 ------ 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
% 3.97/1.09
% 3.97/1.09 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.97/1.09
% 3.97/1.09 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.97/1.09 ------ Proving...
% 3.97/1.09 ------ Problem Properties
% 3.97/1.09
% 3.97/1.09
% 3.97/1.09 clauses 38
% 3.97/1.09 conjectures 3
% 3.97/1.09 EPR 16
% 3.97/1.09 Horn 31
% 3.97/1.09 unary 15
% 3.97/1.09 binary 12
% 3.97/1.09 lits 75
% 3.97/1.09 lits eq 8
% 3.97/1.09 fd_pure 0
% 3.97/1.09 fd_pseudo 0
% 3.97/1.09 fd_cond 1
% 3.97/1.09 fd_pseudo_cond 3
% 3.97/1.09 AC symbols 0
% 3.97/1.09
% 3.97/1.09 ------ Schedule dynamic 5 is on
% 3.97/1.09
% 3.97/1.09 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.97/1.09
% 3.97/1.09
% 3.97/1.09 ------
% 3.97/1.09 Current options:
% 3.97/1.09 ------
% 3.97/1.09
% 3.97/1.09
% 3.97/1.09
% 3.97/1.09
% 3.97/1.09 ------ Proving...
% 3.97/1.09
% 3.97/1.09
% 3.97/1.09 % SZS status Theorem for theBenchmark.p
% 3.97/1.09
% 3.97/1.09 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.97/1.09
% 3.97/1.10
%------------------------------------------------------------------------------