TSTP Solution File: SEU419+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SEU419+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 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 : Thu Aug 31 17:58:58 EDT 2023
% Result : Theorem 0.24s 0.67s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 16
% Syntax : Number of formulae : 94 ( 16 unt; 0 def)
% Number of atoms : 304 ( 35 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 346 ( 136 ~; 142 |; 50 &)
% ( 7 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-3 aty)
% Number of variables : 155 (; 140 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12629,plain,
$false,
inference(subsumption_resolution,[],[f12625,f7740]) ).
fof(f7740,plain,
~ r1_tarski(sF17,sF14),
inference(subsumption_resolution,[],[f7716,f154]) ).
fof(f154,plain,
sF14 != sF17,
inference(definition_folding,[],[f92,f153,f152,f149,f151,f149,f150,f149,f148]) ).
fof(f148,plain,
k4_xboole_0(sK1,sK2) = sF12,
introduced(function_definition,[]) ).
fof(f150,plain,
k9_relat_1(sF12,sF13) = sF14,
introduced(function_definition,[]) ).
fof(f151,plain,
k9_relat_1(sK1,sF13) = sF15,
introduced(function_definition,[]) ).
fof(f149,plain,
k1_tarski(sK0) = sF13,
introduced(function_definition,[]) ).
fof(f152,plain,
k9_relat_1(sK2,sF13) = sF16,
introduced(function_definition,[]) ).
fof(f153,plain,
k4_xboole_0(sF15,sF16) = sF17,
introduced(function_definition,[]) ).
fof(f92,plain,
k9_relat_1(k4_xboole_0(sK1,sK2),k1_tarski(sK0)) != k4_xboole_0(k9_relat_1(sK1,k1_tarski(sK0)),k9_relat_1(sK2,k1_tarski(sK0))),
inference(cnf_transformation,[],[f64]) ).
fof(f64,plain,
( k9_relat_1(k4_xboole_0(sK1,sK2),k1_tarski(sK0)) != k4_xboole_0(k9_relat_1(sK1,k1_tarski(sK0)),k9_relat_1(sK2,k1_tarski(sK0)))
& v1_relat_1(sK2)
& v1_relat_1(sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f45,f63,f62]) ).
fof(f62,plain,
( ? [X0,X1] :
( ? [X2] :
( k9_relat_1(k4_xboole_0(X1,X2),k1_tarski(X0)) != k4_xboole_0(k9_relat_1(X1,k1_tarski(X0)),k9_relat_1(X2,k1_tarski(X0)))
& v1_relat_1(X2) )
& v1_relat_1(X1) )
=> ( ? [X2] :
( k9_relat_1(k4_xboole_0(sK1,X2),k1_tarski(sK0)) != k4_xboole_0(k9_relat_1(sK1,k1_tarski(sK0)),k9_relat_1(X2,k1_tarski(sK0)))
& v1_relat_1(X2) )
& v1_relat_1(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f63,plain,
( ? [X2] :
( k9_relat_1(k4_xboole_0(sK1,X2),k1_tarski(sK0)) != k4_xboole_0(k9_relat_1(sK1,k1_tarski(sK0)),k9_relat_1(X2,k1_tarski(sK0)))
& v1_relat_1(X2) )
=> ( k9_relat_1(k4_xboole_0(sK1,sK2),k1_tarski(sK0)) != k4_xboole_0(k9_relat_1(sK1,k1_tarski(sK0)),k9_relat_1(sK2,k1_tarski(sK0)))
& v1_relat_1(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f45,plain,
? [X0,X1] :
( ? [X2] :
( k9_relat_1(k4_xboole_0(X1,X2),k1_tarski(X0)) != k4_xboole_0(k9_relat_1(X1,k1_tarski(X0)),k9_relat_1(X2,k1_tarski(X0)))
& v1_relat_1(X2) )
& v1_relat_1(X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> k9_relat_1(k4_xboole_0(X1,X2),k1_tarski(X0)) = k4_xboole_0(k9_relat_1(X1,k1_tarski(X0)),k9_relat_1(X2,k1_tarski(X0))) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0,X1] :
( v1_relat_1(X1)
=> ! [X2] :
( v1_relat_1(X2)
=> k9_relat_1(k4_xboole_0(X1,X2),k1_tarski(X0)) = k4_xboole_0(k9_relat_1(X1,k1_tarski(X0)),k9_relat_1(X2,k1_tarski(X0))) ) ),
file('/export/starexec/sandbox/tmp/tmp.0FmPGWCKbT/Vampire---4.8_18983',t12_relset_2) ).
fof(f7716,plain,
( sF14 = sF17
| ~ r1_tarski(sF17,sF14) ),
inference(resolution,[],[f7712,f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| X0 = X1
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1) )
& ( ( r1_tarski(X1,X0)
& r1_tarski(X0,X1) )
| X0 != X1 ) ),
inference(flattening,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1) )
& ( ( r1_tarski(X1,X0)
& r1_tarski(X0,X1) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X1,X0)
& r1_tarski(X0,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.0FmPGWCKbT/Vampire---4.8_18983',d10_xboole_0) ).
fof(f7712,plain,
r1_tarski(sF14,sF17),
inference(forward_demodulation,[],[f7711,f153]) ).
fof(f7711,plain,
r1_tarski(sF14,k4_xboole_0(sF15,sF16)),
inference(subsumption_resolution,[],[f7690,f120]) ).
fof(f120,plain,
! [X0,X1] :
( r2_hidden(sK6(X0,X1),X0)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( r1_tarski(X0,X1)
| ( ~ r2_hidden(sK6(X0,X1),X1)
& r2_hidden(sK6(X0,X1),X0) ) )
& ( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
| ~ r1_tarski(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f74,f75]) ).
fof(f75,plain,
! [X0,X1] :
( ? [X2] :
( ~ r2_hidden(X2,X1)
& r2_hidden(X2,X0) )
=> ( ~ r2_hidden(sK6(X0,X1),X1)
& r2_hidden(sK6(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f74,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,[],[f73]) ).
fof(f73,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,[],[f55]) ).
fof(f55,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X1)
| ~ r2_hidden(X2,X0) ) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1] :
( r1_tarski(X0,X1)
<=> ! [X2] :
( r2_hidden(X2,X0)
=> r2_hidden(X2,X1) ) ),
file('/export/starexec/sandbox/tmp/tmp.0FmPGWCKbT/Vampire---4.8_18983',d3_tarski) ).
fof(f7690,plain,
( r1_tarski(sF14,k4_xboole_0(sF15,sF16))
| ~ r2_hidden(sK6(sF14,k4_xboole_0(sF15,sF16)),sF14) ),
inference(resolution,[],[f5883,f4238]) ).
fof(f4238,plain,
! [X0] :
( ~ r2_hidden(X0,sF16)
| ~ r2_hidden(X0,sF14) ),
inference(resolution,[],[f4013,f3850]) ).
fof(f3850,plain,
! [X4] :
( r2_hidden(k4_tarski(sK0,X4),sK2)
| ~ r2_hidden(X4,sF16) ),
inference(subsumption_resolution,[],[f3817,f91]) ).
fof(f91,plain,
v1_relat_1(sK2),
inference(cnf_transformation,[],[f64]) ).
fof(f3817,plain,
! [X4] :
( ~ r2_hidden(X4,sF16)
| r2_hidden(k4_tarski(sK0,X4),sK2)
| ~ v1_relat_1(sK2) ),
inference(superposition,[],[f1199,f152]) ).
fof(f1199,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k9_relat_1(X1,sF13))
| r2_hidden(k4_tarski(sK0,X0),X1)
| ~ v1_relat_1(X1) ),
inference(superposition,[],[f126,f149]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| r2_hidden(k4_tarski(X1,X0),X2)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ( ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| ~ r2_hidden(k4_tarski(X1,X0),X2) )
& ( r2_hidden(k4_tarski(X1,X0),X2)
| ~ r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1))) ) )
| ~ v1_relat_1(X2) ),
inference(nnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
<=> r2_hidden(k4_tarski(X1,X0),X2) )
| ~ v1_relat_1(X2) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0,X1,X2] :
( v1_relat_1(X2)
=> ( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
<=> r2_hidden(k4_tarski(X1,X0),X2) ) ),
file('/export/starexec/sandbox/tmp/tmp.0FmPGWCKbT/Vampire---4.8_18983',t9_relset_2) ).
fof(f4013,plain,
! [X1] :
( ~ r2_hidden(k4_tarski(sK0,X1),sK2)
| ~ r2_hidden(X1,sF14) ),
inference(resolution,[],[f3851,f252]) ).
fof(f252,plain,
! [X10] :
( ~ r2_hidden(X10,sF12)
| ~ r2_hidden(X10,sK2) ),
inference(superposition,[],[f144,f148]) ).
fof(f144,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k4_xboole_0(X0,X1))
| ~ r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f130]) ).
fof(f130,plain,
! [X2,X0,X1,X4] :
( ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ( k4_xboole_0(X0,X1) = X2
| ( ( r2_hidden(sK7(X0,X1,X2),X1)
| ~ r2_hidden(sK7(X0,X1,X2),X0)
| ~ r2_hidden(sK7(X0,X1,X2),X2) )
& ( ( ~ r2_hidden(sK7(X0,X1,X2),X1)
& r2_hidden(sK7(X0,X1,X2),X0) )
| r2_hidden(sK7(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X0) )
& ( ( ~ r2_hidden(X4,X1)
& r2_hidden(X4,X0) )
| ~ r2_hidden(X4,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f81,f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X2) )
& ( ( ~ r2_hidden(X3,X1)
& r2_hidden(X3,X0) )
| r2_hidden(X3,X2) ) )
=> ( ( r2_hidden(sK7(X0,X1,X2),X1)
| ~ r2_hidden(sK7(X0,X1,X2),X0)
| ~ r2_hidden(sK7(X0,X1,X2),X2) )
& ( ( ~ r2_hidden(sK7(X0,X1,X2),X1)
& r2_hidden(sK7(X0,X1,X2),X0) )
| r2_hidden(sK7(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ( k4_xboole_0(X0,X1) = X2
| ? [X3] :
( ( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X2) )
& ( ( ~ r2_hidden(X3,X1)
& r2_hidden(X3,X0) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X2)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X0) )
& ( ( ~ r2_hidden(X4,X1)
& r2_hidden(X4,X0) )
| ~ r2_hidden(X4,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(rectify,[],[f80]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ( k4_xboole_0(X0,X1) = X2
| ? [X3] :
( ( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X2) )
& ( ( ~ r2_hidden(X3,X1)
& r2_hidden(X3,X0) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
& ( ( ~ r2_hidden(X3,X1)
& r2_hidden(X3,X0) )
| ~ r2_hidden(X3,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0,X1,X2] :
( ( k4_xboole_0(X0,X1) = X2
| ? [X3] :
( ( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X2) )
& ( ( ~ r2_hidden(X3,X1)
& r2_hidden(X3,X0) )
| r2_hidden(X3,X2) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X2)
| r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0) )
& ( ( ~ r2_hidden(X3,X1)
& r2_hidden(X3,X0) )
| ~ r2_hidden(X3,X2) ) )
| k4_xboole_0(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0,X1,X2] :
( k4_xboole_0(X0,X1) = X2
<=> ! [X3] :
( r2_hidden(X3,X2)
<=> ( ~ r2_hidden(X3,X1)
& r2_hidden(X3,X0) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.0FmPGWCKbT/Vampire---4.8_18983',d4_xboole_0) ).
fof(f3851,plain,
! [X5] :
( r2_hidden(k4_tarski(sK0,X5),sF12)
| ~ r2_hidden(X5,sF14) ),
inference(subsumption_resolution,[],[f3818,f221]) ).
fof(f221,plain,
v1_relat_1(sF12),
inference(subsumption_resolution,[],[f220,f90]) ).
fof(f90,plain,
v1_relat_1(sK1),
inference(cnf_transformation,[],[f64]) ).
fof(f220,plain,
( v1_relat_1(sF12)
| ~ v1_relat_1(sK1) ),
inference(subsumption_resolution,[],[f218,f91]) ).
fof(f218,plain,
( v1_relat_1(sF12)
| ~ v1_relat_1(sK2)
| ~ v1_relat_1(sK1) ),
inference(superposition,[],[f115,f148]) ).
fof(f115,plain,
! [X0,X1] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(flattening,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( v1_relat_1(k4_xboole_0(X0,X1))
| ~ v1_relat_1(X1)
| ~ v1_relat_1(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_relat_1(X0) )
=> v1_relat_1(k4_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox/tmp/tmp.0FmPGWCKbT/Vampire---4.8_18983',fc3_relat_1) ).
fof(f3818,plain,
! [X5] :
( ~ r2_hidden(X5,sF14)
| r2_hidden(k4_tarski(sK0,X5),sF12)
| ~ v1_relat_1(sF12) ),
inference(superposition,[],[f1199,f150]) ).
fof(f5883,plain,
! [X7] :
( r2_hidden(sK6(sF14,k4_xboole_0(sF15,X7)),X7)
| r1_tarski(sF14,k4_xboole_0(sF15,X7)) ),
inference(duplicate_literal_removal,[],[f5866]) ).
fof(f5866,plain,
! [X7] :
( r2_hidden(sK6(sF14,k4_xboole_0(sF15,X7)),X7)
| r1_tarski(sF14,k4_xboole_0(sF15,X7))
| r1_tarski(sF14,k4_xboole_0(sF15,X7)) ),
inference(resolution,[],[f1048,f4270]) ).
fof(f4270,plain,
! [X1] :
( r2_hidden(sK6(sF14,X1),sF15)
| r1_tarski(sF14,X1) ),
inference(resolution,[],[f4263,f120]) ).
fof(f4263,plain,
! [X0] :
( ~ r2_hidden(X0,sF14)
| r2_hidden(X0,sF15) ),
inference(forward_demodulation,[],[f4262,f151]) ).
fof(f4262,plain,
! [X0] :
( ~ r2_hidden(X0,sF14)
| r2_hidden(X0,k9_relat_1(sK1,sF13)) ),
inference(subsumption_resolution,[],[f4254,f90]) ).
fof(f4254,plain,
! [X0] :
( ~ r2_hidden(X0,sF14)
| r2_hidden(X0,k9_relat_1(sK1,sF13))
| ~ v1_relat_1(sK1) ),
inference(resolution,[],[f4014,f1354]) ).
fof(f1354,plain,
! [X0,X1] :
( ~ r2_hidden(k4_tarski(sK0,X0),X1)
| r2_hidden(X0,k9_relat_1(X1,sF13))
| ~ v1_relat_1(X1) ),
inference(superposition,[],[f127,f149]) ).
fof(f127,plain,
! [X2,X0,X1] :
( r2_hidden(X0,k9_relat_1(X2,k1_tarski(X1)))
| ~ r2_hidden(k4_tarski(X1,X0),X2)
| ~ v1_relat_1(X2) ),
inference(cnf_transformation,[],[f78]) ).
fof(f4014,plain,
! [X2] :
( r2_hidden(k4_tarski(sK0,X2),sK1)
| ~ r2_hidden(X2,sF14) ),
inference(resolution,[],[f3851,f277]) ).
fof(f277,plain,
! [X10] :
( ~ r2_hidden(X10,sF12)
| r2_hidden(X10,sK1) ),
inference(superposition,[],[f145,f148]) ).
fof(f145,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k4_xboole_0(X0,X1))
| r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f129]) ).
fof(f129,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f83]) ).
fof(f1048,plain,
! [X21,X22,X23] :
( ~ r2_hidden(sK6(X21,k4_xboole_0(X22,X23)),X22)
| r2_hidden(sK6(X21,k4_xboole_0(X22,X23)),X23)
| r1_tarski(X21,k4_xboole_0(X22,X23)) ),
inference(resolution,[],[f143,f121]) ).
fof(f121,plain,
! [X0,X1] :
( ~ r2_hidden(sK6(X0,X1),X1)
| r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f143,plain,
! [X0,X1,X4] :
( r2_hidden(X4,k4_xboole_0(X0,X1))
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X0) ),
inference(equality_resolution,[],[f131]) ).
fof(f131,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X2)
| r2_hidden(X4,X1)
| ~ r2_hidden(X4,X0)
| k4_xboole_0(X0,X1) != X2 ),
inference(cnf_transformation,[],[f83]) ).
fof(f12625,plain,
r1_tarski(sF17,sF14),
inference(duplicate_literal_removal,[],[f12613]) ).
fof(f12613,plain,
( r1_tarski(sF17,sF14)
| r1_tarski(sF17,sF14) ),
inference(resolution,[],[f12273,f121]) ).
fof(f12273,plain,
! [X9] :
( r2_hidden(sK6(sF17,X9),sF14)
| r1_tarski(sF17,X9) ),
inference(subsumption_resolution,[],[f12249,f264]) ).
fof(f264,plain,
! [X0] :
( ~ r2_hidden(sK6(sF17,X0),sF16)
| r1_tarski(sF17,X0) ),
inference(resolution,[],[f255,f120]) ).
fof(f255,plain,
! [X13] :
( ~ r2_hidden(X13,sF17)
| ~ r2_hidden(X13,sF16) ),
inference(superposition,[],[f144,f153]) ).
fof(f12249,plain,
! [X9] :
( r2_hidden(sK6(sF17,X9),sF14)
| r2_hidden(sK6(sF17,X9),sF16)
| r1_tarski(sF17,X9) ),
inference(resolution,[],[f12184,f286]) ).
fof(f286,plain,
! [X0] :
( r2_hidden(sK6(sF17,X0),sF15)
| r1_tarski(sF17,X0) ),
inference(resolution,[],[f280,f120]) ).
fof(f280,plain,
! [X13] :
( ~ r2_hidden(X13,sF17)
| r2_hidden(X13,sF15) ),
inference(superposition,[],[f145,f153]) ).
fof(f12184,plain,
! [X1] :
( ~ r2_hidden(X1,sF15)
| r2_hidden(X1,sF14)
| r2_hidden(X1,sF16) ),
inference(forward_demodulation,[],[f12183,f152]) ).
fof(f12183,plain,
! [X1] :
( r2_hidden(X1,sF14)
| ~ r2_hidden(X1,sF15)
| r2_hidden(X1,k9_relat_1(sK2,sF13)) ),
inference(subsumption_resolution,[],[f12172,f91]) ).
fof(f12172,plain,
! [X1] :
( r2_hidden(X1,sF14)
| ~ r2_hidden(X1,sF15)
| r2_hidden(X1,k9_relat_1(sK2,sF13))
| ~ v1_relat_1(sK2) ),
inference(resolution,[],[f12128,f1354]) ).
fof(f12128,plain,
! [X3] :
( r2_hidden(k4_tarski(sK0,X3),sK2)
| r2_hidden(X3,sF14)
| ~ r2_hidden(X3,sF15) ),
inference(forward_demodulation,[],[f12127,f150]) ).
fof(f12127,plain,
! [X3] :
( r2_hidden(k4_tarski(sK0,X3),sK2)
| ~ r2_hidden(X3,sF15)
| r2_hidden(X3,k9_relat_1(sF12,sF13)) ),
inference(subsumption_resolution,[],[f12113,f221]) ).
fof(f12113,plain,
! [X3] :
( r2_hidden(k4_tarski(sK0,X3),sK2)
| ~ r2_hidden(X3,sF15)
| r2_hidden(X3,k9_relat_1(sF12,sF13))
| ~ v1_relat_1(sF12) ),
inference(resolution,[],[f3873,f1354]) ).
fof(f3873,plain,
! [X2] :
( r2_hidden(k4_tarski(sK0,X2),sF12)
| r2_hidden(k4_tarski(sK0,X2),sK2)
| ~ r2_hidden(X2,sF15) ),
inference(resolution,[],[f3849,f1053]) ).
fof(f1053,plain,
! [X10] :
( ~ r2_hidden(X10,sK1)
| r2_hidden(X10,sK2)
| r2_hidden(X10,sF12) ),
inference(superposition,[],[f143,f148]) ).
fof(f3849,plain,
! [X3] :
( r2_hidden(k4_tarski(sK0,X3),sK1)
| ~ r2_hidden(X3,sF15) ),
inference(subsumption_resolution,[],[f3816,f90]) ).
fof(f3816,plain,
! [X3] :
( ~ r2_hidden(X3,sF15)
| r2_hidden(k4_tarski(sK0,X3),sK1)
| ~ v1_relat_1(sK1) ),
inference(superposition,[],[f1199,f151]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU419+1 : TPTP v8.1.2. Released v3.4.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.37 % Computer : n019.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Wed Aug 23 18:37:43 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.16/0.37 This is a FOF_THM_RFO_SEQ problem
% 0.24/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.0FmPGWCKbT/Vampire---4.8_18983
% 0.24/0.38 % (19133)Running in auto input_syntax mode. Trying TPTP
% 0.24/0.44 % (19135)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_680 on Vampire---4 for (680ds/0Mi)
% 0.24/0.44 % (19138)lrs+1010_20_av=off:bd=off:bs=on:bsr=on:bce=on:flr=on:fde=none:gsp=on:nwc=3.0:tgt=ground:urr=ec_only:stl=125_424 on Vampire---4 for (424ds/0Mi)
% 0.24/0.44 % (19139)dis+1011_4_add=large:amm=off:sims=off:sac=on:sp=frequency:tgt=ground_413 on Vampire---4 for (413ds/0Mi)
% 0.24/0.44 % (19137)lrs-3_8_anc=none:bce=on:cond=on:drc=off:flr=on:fsd=off:fsr=off:fde=unused:gsp=on:gs=on:gsaa=full_model:lcm=predicate:lma=on:nm=16:sos=all:sp=weighted_frequency:tgt=ground:urr=ec_only:stl=188_482 on Vampire---4 for (482ds/0Mi)
% 0.24/0.44 % (19136)dis-11_4:1_aac=none:add=off:afr=on:anc=none:bd=preordered:bs=on:bsr=on:drc=off:fsr=off:fde=none:gsp=on:irw=on:lcm=reverse:lma=on:nm=0:nwc=1.7:nicw=on:sas=z3:sims=off:sos=all:sac=on:sp=weighted_frequency:tgt=full_602 on Vampire---4 for (602ds/0Mi)
% 0.24/0.44 % (19134)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_730 on Vampire---4 for (730ds/0Mi)
% 0.24/0.44 % (19140)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_386 on Vampire---4 for (386ds/0Mi)
% 0.24/0.67 % (19138)First to succeed.
% 0.24/0.67 % (19138)Refutation found. Thanks to Tanya!
% 0.24/0.67 % SZS status Theorem for Vampire---4
% 0.24/0.67 % SZS output start Proof for Vampire---4
% See solution above
% 0.24/0.67 % (19138)------------------------------
% 0.24/0.67 % (19138)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.24/0.67 % (19138)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.24/0.67 % (19138)Termination reason: Refutation
% 0.24/0.67
% 0.24/0.67 % (19138)Memory used [KB]: 5117
% 0.24/0.67 % (19138)Time elapsed: 0.234 s
% 0.24/0.67 % (19138)------------------------------
% 0.24/0.67 % (19138)------------------------------
% 0.24/0.67 % (19133)Success in time 0.292 s
% 0.24/0.67 % Vampire---4.8 exiting
%------------------------------------------------------------------------------