TSTP Solution File: SEU407+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU407+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n012.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 : Wed Aug 31 18:33:39 EDT 2022
% Result : Theorem 0.14s 0.55s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 16
% Syntax : Number of formulae : 88 ( 24 unt; 3 typ; 0 def)
% Number of atoms : 328 ( 44 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 404 ( 161 ~; 134 |; 83 &)
% ( 7 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 4 ( 0 usr; 3 ari)
% Number of type conns : 6 ( 3 >; 3 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-6 aty)
% Number of variables : 145 ( 126 !; 19 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_13,type,
sQ14_eqProxy: ( $int * $int ) > $o ).
tff(pred_def_14,type,
sQ15_eqProxy: ( $rat * $rat ) > $o ).
tff(pred_def_15,type,
sQ16_eqProxy: ( $real * $real ) > $o ).
fof(f791,plain,
$false,
inference(subsumption_resolution,[],[f790,f247]) ).
fof(f247,plain,
l1_orders_2(sK5),
inference(literal_reordering,[],[f189]) ).
fof(f189,plain,
l1_orders_2(sK5),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
( ~ v3_struct_0(sK5)
& l1_orders_2(sK5)
& ~ v3_struct_0(sK6)
& l1_orders_2(sK6)
& ~ r2_hidden(sK7,u1_struct_0(sK5))
& m1_subset_1(sK7,u1_struct_0(k1_latsum_1(sK5,sK6)))
& ~ r2_hidden(sK7,k4_xboole_0(u1_struct_0(sK6),u1_struct_0(sK5))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5,sK6,sK7])],[f86,f136,f135,f134]) ).
fof(f134,plain,
( ? [X0] :
( ~ v3_struct_0(X0)
& l1_orders_2(X0)
& ? [X1] :
( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ? [X2] :
( ~ r2_hidden(X2,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
& ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0))) ) ) )
=> ( ~ v3_struct_0(sK5)
& l1_orders_2(sK5)
& ? [X1] :
( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ? [X2] :
( ~ r2_hidden(X2,u1_struct_0(sK5))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK5,X1)))
& ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(sK5))) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f135,plain,
( ? [X1] :
( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ? [X2] :
( ~ r2_hidden(X2,u1_struct_0(sK5))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK5,X1)))
& ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(sK5))) ) )
=> ( ~ v3_struct_0(sK6)
& l1_orders_2(sK6)
& ? [X2] :
( ~ r2_hidden(X2,u1_struct_0(sK5))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK5,sK6)))
& ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(sK6),u1_struct_0(sK5))) ) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
( ? [X2] :
( ~ r2_hidden(X2,u1_struct_0(sK5))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(sK5,sK6)))
& ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(sK6),u1_struct_0(sK5))) )
=> ( ~ r2_hidden(sK7,u1_struct_0(sK5))
& m1_subset_1(sK7,u1_struct_0(k1_latsum_1(sK5,sK6)))
& ~ r2_hidden(sK7,k4_xboole_0(u1_struct_0(sK6),u1_struct_0(sK5))) ) ),
introduced(choice_axiom,[]) ).
fof(f86,plain,
? [X0] :
( ~ v3_struct_0(X0)
& l1_orders_2(X0)
& ? [X1] :
( ~ v3_struct_0(X1)
& l1_orders_2(X1)
& ? [X2] :
( ~ r2_hidden(X2,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
& ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0))) ) ) ),
inference(flattening,[],[f85]) ).
fof(f85,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r2_hidden(X2,u1_struct_0(X0))
& ~ r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0)))
& m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1))) )
& ~ v3_struct_0(X1)
& l1_orders_2(X1) )
& l1_orders_2(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
=> ( r2_hidden(X2,u1_struct_0(X0))
| r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0))) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(k1_latsum_1(X0,X1)))
=> ( r2_hidden(X2,u1_struct_0(X0))
| r2_hidden(X2,k4_xboole_0(u1_struct_0(X1),u1_struct_0(X0))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_latsum_1) ).
fof(f790,plain,
~ l1_orders_2(sK5),
inference(resolution,[],[f789,f268]) ).
fof(f268,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(literal_reordering,[],[f174]) ).
fof(f174,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0] :
( ~ l1_orders_2(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( l1_orders_2(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
fof(f789,plain,
~ l1_struct_0(sK5),
inference(subsumption_resolution,[],[f783,f299]) ).
fof(f299,plain,
~ v3_struct_0(sK5),
inference(literal_reordering,[],[f190]) ).
fof(f190,plain,
~ v3_struct_0(sK5),
inference(cnf_transformation,[],[f137]) ).
fof(f783,plain,
( ~ l1_struct_0(sK5)
| v3_struct_0(sK5) ),
inference(resolution,[],[f776,f284]) ).
fof(f284,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| ~ l1_struct_0(X0)
| v3_struct_0(X0) ),
inference(literal_reordering,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f776,plain,
v1_xboole_0(u1_struct_0(sK5)),
inference(resolution,[],[f773,f272]) ).
fof(f272,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_xboole_0(X0,X1))
| v1_xboole_0(X0) ),
inference(literal_reordering,[],[f198]) ).
fof(f198,plain,
! [X0,X1] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0,X1] :
( ~ v1_xboole_0(k2_xboole_0(X0,X1))
| v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0,X1] :
( ~ v1_xboole_0(X0)
=> ~ v1_xboole_0(k2_xboole_0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_xboole_0) ).
fof(f773,plain,
v1_xboole_0(k2_xboole_0(u1_struct_0(sK5),u1_struct_0(sK6))),
inference(forward_demodulation,[],[f772,f542]) ).
fof(f542,plain,
k2_xboole_0(u1_struct_0(sK5),u1_struct_0(sK6)) = u1_struct_0(k1_latsum_1(sK5,sK6)),
inference(resolution,[],[f462,f247]) ).
fof(f462,plain,
! [X7] :
( ~ l1_orders_2(X7)
| k2_xboole_0(u1_struct_0(X7),u1_struct_0(sK6)) = u1_struct_0(k1_latsum_1(X7,sK6)) ),
inference(resolution,[],[f456,f243]) ).
fof(f243,plain,
l1_orders_2(sK6),
inference(literal_reordering,[],[f187]) ).
fof(f187,plain,
l1_orders_2(sK6),
inference(cnf_transformation,[],[f137]) ).
fof(f456,plain,
! [X0,X1] :
( ~ l1_orders_2(X1)
| ~ l1_orders_2(X0)
| u1_struct_0(k1_latsum_1(X0,X1)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) ),
inference(subsumption_resolution,[],[f455,f277]) ).
fof(f277,plain,
! [X0,X1] :
( l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(literal_reordering,[],[f192]) ).
fof(f192,plain,
! [X0,X1] :
( l1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ( l1_orders_2(k1_latsum_1(X0,X1))
& v1_orders_2(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X1) ),
inference(flattening,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ( l1_orders_2(k1_latsum_1(X0,X1))
& v1_orders_2(k1_latsum_1(X0,X1)) )
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0,X1] :
( ( l1_orders_2(X1)
& l1_orders_2(X0) )
=> ( l1_orders_2(k1_latsum_1(X0,X1))
& v1_orders_2(k1_latsum_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsum_1) ).
fof(f455,plain,
! [X0,X1] :
( u1_struct_0(k1_latsum_1(X0,X1)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| ~ l1_orders_2(k1_latsum_1(X0,X1)) ),
inference(subsumption_resolution,[],[f297,f296]) ).
fof(f296,plain,
! [X0,X1] :
( v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(X0) ),
inference(literal_reordering,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| ~ l1_orders_2(X1)
| v1_orders_2(k1_latsum_1(X0,X1)) ),
inference(cnf_transformation,[],[f80]) ).
fof(f297,plain,
! [X0,X1] :
( ~ l1_orders_2(X0)
| u1_struct_0(k1_latsum_1(X0,X1)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X1)
| ~ v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(k1_latsum_1(X0,X1)) ),
inference(literal_reordering,[],[f229]) ).
fof(f229,plain,
! [X0,X1] :
( ~ v1_orders_2(k1_latsum_1(X0,X1))
| ~ l1_orders_2(X1)
| ~ l1_orders_2(k1_latsum_1(X0,X1))
| u1_struct_0(k1_latsum_1(X0,X1)) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| ~ l1_orders_2(X0) ),
inference(equality_resolution,[],[f210]) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X0)
| u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1))
| k1_latsum_1(X0,X1) != X2
| ~ l1_orders_2(X2)
| ~ v1_orders_2(X2)
| ~ l1_orders_2(X1) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ! [X1] :
( ! [X2] :
( ( ( ( u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
& u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) )
| k1_latsum_1(X0,X1) != X2 )
& ( k1_latsum_1(X0,X1) = X2
| u1_orders_2(X2) != k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
| u1_struct_0(X2) != k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) ) )
| ~ l1_orders_2(X2)
| ~ v1_orders_2(X2) )
| ~ l1_orders_2(X1) ) ),
inference(flattening,[],[f145]) ).
fof(f145,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ! [X1] :
( ! [X2] :
( ( ( ( u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
& u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) )
| k1_latsum_1(X0,X1) != X2 )
& ( k1_latsum_1(X0,X1) = X2
| u1_orders_2(X2) != k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
| u1_struct_0(X2) != k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) ) )
| ~ l1_orders_2(X2)
| ~ v1_orders_2(X2) )
| ~ l1_orders_2(X1) ) ),
inference(nnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ! [X1] :
( ! [X2] :
( ( ( u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
& u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) )
<=> k1_latsum_1(X0,X1) = X2 )
| ~ l1_orders_2(X2)
| ~ v1_orders_2(X2) )
| ~ l1_orders_2(X1) ) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
& u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) )
<=> k1_latsum_1(X0,X1) = X2 )
| ~ v1_orders_2(X2)
| ~ l1_orders_2(X2) )
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( l1_orders_2(X1)
=> ! [X2] :
( ( v1_orders_2(X2)
& l1_orders_2(X2) )
=> ( ( u1_orders_2(X2) = k2_xboole_0(k2_xboole_0(u1_orders_2(X0),u1_orders_2(X1)),k7_relset_1(u1_struct_0(X0),u1_struct_0(X0),u1_struct_0(X1),u1_struct_0(X1),u1_orders_2(X0),u1_orders_2(X1)))
& u1_struct_0(X2) = k2_xboole_0(u1_struct_0(X0),u1_struct_0(X1)) )
<=> k1_latsum_1(X0,X1) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_latsum_1) ).
fof(f772,plain,
v1_xboole_0(u1_struct_0(k1_latsum_1(sK5,sK6))),
inference(subsumption_resolution,[],[f764,f662]) ).
fof(f662,plain,
~ r2_hidden(sK7,k2_xboole_0(u1_struct_0(sK5),u1_struct_0(sK6))),
inference(subsumption_resolution,[],[f657,f278]) ).
fof(f278,plain,
~ r2_hidden(sK7,u1_struct_0(sK5)),
inference(literal_reordering,[],[f186]) ).
fof(f186,plain,
~ r2_hidden(sK7,u1_struct_0(sK5)),
inference(cnf_transformation,[],[f137]) ).
fof(f657,plain,
( r2_hidden(sK7,u1_struct_0(sK5))
| ~ r2_hidden(sK7,k2_xboole_0(u1_struct_0(sK5),u1_struct_0(sK6))) ),
inference(resolution,[],[f434,f260]) ).
fof(f260,plain,
~ r2_hidden(sK7,k4_xboole_0(u1_struct_0(sK6),u1_struct_0(sK5))),
inference(literal_reordering,[],[f184]) ).
fof(f184,plain,
~ r2_hidden(sK7,k4_xboole_0(u1_struct_0(sK6),u1_struct_0(sK5))),
inference(cnf_transformation,[],[f137]) ).
fof(f434,plain,
! [X10,X8,X9] :
( r2_hidden(X10,k4_xboole_0(X9,X8))
| r2_hidden(X10,X8)
| ~ r2_hidden(X10,k2_xboole_0(X8,X9)) ),
inference(superposition,[],[f233,f238]) ).
fof(f238,plain,
! [X0,X1] : k2_xboole_0(X1,X0) = k2_xboole_0(X1,k4_xboole_0(X0,X1)),
inference(literal_reordering,[],[f167]) ).
fof(f167,plain,
! [X0,X1] : k2_xboole_0(X1,X0) = k2_xboole_0(X1,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0,X1] : k2_xboole_0(X1,X0) = k2_xboole_0(X1,k4_xboole_0(X0,X1)),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X1,X0] : k2_xboole_0(X0,X1) = k2_xboole_0(X0,k4_xboole_0(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_xboole_1) ).
fof(f233,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k2_xboole_0(X1,X0))
| r2_hidden(X4,X1)
| r2_hidden(X4,X0) ),
inference(literal_reordering,[],[f230]) ).
fof(f230,plain,
! [X0,X1,X4] :
( ~ r2_hidden(X4,k2_xboole_0(X1,X0))
| r2_hidden(X4,X0)
| r2_hidden(X4,X1) ),
inference(equality_resolution,[],[f220]) ).
fof(f220,plain,
! [X2,X0,X1,X4] :
( r2_hidden(X4,X1)
| r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2)
| k2_xboole_0(X1,X0) != X2 ),
inference(cnf_transformation,[],[f157]) ).
fof(f157,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X1,X0) = X2
| ( ( ~ r2_hidden(sK11(X0,X1,X2),X2)
| ( ~ r2_hidden(sK11(X0,X1,X2),X1)
& ~ r2_hidden(sK11(X0,X1,X2),X0) ) )
& ( r2_hidden(sK11(X0,X1,X2),X2)
| r2_hidden(sK11(X0,X1,X2),X1)
| r2_hidden(sK11(X0,X1,X2),X0) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X1)
| r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2) )
& ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X1)
& ~ r2_hidden(X4,X0) ) ) )
| k2_xboole_0(X1,X0) != X2 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f155,f156]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( ~ r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) ) )
& ( r2_hidden(X3,X2)
| r2_hidden(X3,X1)
| r2_hidden(X3,X0) ) )
=> ( ( ~ r2_hidden(sK11(X0,X1,X2),X2)
| ( ~ r2_hidden(sK11(X0,X1,X2),X1)
& ~ r2_hidden(sK11(X0,X1,X2),X0) ) )
& ( r2_hidden(sK11(X0,X1,X2),X2)
| r2_hidden(sK11(X0,X1,X2),X1)
| r2_hidden(sK11(X0,X1,X2),X0) ) ) ),
introduced(choice_axiom,[]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ( k2_xboole_0(X1,X0) = X2
| ? [X3] :
( ( ~ r2_hidden(X3,X2)
| ( ~ r2_hidden(X3,X1)
& ~ r2_hidden(X3,X0) ) )
& ( r2_hidden(X3,X2)
| r2_hidden(X3,X1)
| r2_hidden(X3,X0) ) ) )
& ( ! [X4] :
( ( r2_hidden(X4,X1)
| r2_hidden(X4,X0)
| ~ r2_hidden(X4,X2) )
& ( r2_hidden(X4,X2)
| ( ~ r2_hidden(X4,X1)
& ~ r2_hidden(X4,X0) ) ) )
| k2_xboole_0(X1,X0) != X2 ) ),
inference(rectify,[],[f154]) ).
fof(f154,plain,
! [X2,X0,X1] :
( ( k2_xboole_0(X0,X2) = X1
| ? [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,X0)
| r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(X3,X1)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X2) ) ) )
| k2_xboole_0(X0,X2) != X1 ) ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
! [X2,X0,X1] :
( ( k2_xboole_0(X0,X2) = X1
| ? [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,X0)
| r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(X3,X1)
| ( ~ r2_hidden(X3,X0)
& ~ r2_hidden(X3,X2) ) ) )
| k2_xboole_0(X0,X2) != X1 ) ),
inference(nnf_transformation,[],[f72]) ).
fof(f72,plain,
! [X2,X0,X1] :
( k2_xboole_0(X0,X2) = X1
<=> ! [X3] :
( ( r2_hidden(X3,X0)
| r2_hidden(X3,X2) )
<=> r2_hidden(X3,X1) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X0,X2,X1] :
( ! [X3] :
( ( r2_hidden(X3,X1)
| r2_hidden(X3,X0) )
<=> r2_hidden(X3,X2) )
<=> k2_xboole_0(X0,X1) = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
fof(f764,plain,
( v1_xboole_0(u1_struct_0(k1_latsum_1(sK5,sK6)))
| r2_hidden(sK7,k2_xboole_0(u1_struct_0(sK5),u1_struct_0(sK6))) ),
inference(backward_demodulation,[],[f397,f542]) ).
fof(f397,plain,
( v1_xboole_0(u1_struct_0(k1_latsum_1(sK5,sK6)))
| r2_hidden(sK7,u1_struct_0(k1_latsum_1(sK5,sK6))) ),
inference(resolution,[],[f265,f239]) ).
fof(f239,plain,
m1_subset_1(sK7,u1_struct_0(k1_latsum_1(sK5,sK6))),
inference(literal_reordering,[],[f185]) ).
fof(f185,plain,
m1_subset_1(sK7,u1_struct_0(k1_latsum_1(sK5,sK6))),
inference(cnf_transformation,[],[f137]) ).
fof(f265,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(literal_reordering,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1)
| r2_hidden(X0,X1) ),
inference(rectify,[],[f90]) ).
fof(f90,plain,
! [X1,X0] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| r2_hidden(X1,X0) ),
inference(flattening,[],[f89]) ).
fof(f89,plain,
! [X1,X0] :
( v1_xboole_0(X0)
| r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,plain,
! [X1,X0] :
( m1_subset_1(X1,X0)
=> ( v1_xboole_0(X0)
| r2_hidden(X1,X0) ) ),
inference(rectify,[],[f47]) ).
fof(f47,axiom,
! [X1,X0] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : SEU407+1 : TPTP v8.1.0. Released v3.4.0.
% 0.02/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.09/0.31 % Computer : n012.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Tue Aug 30 15:25:50 EDT 2022
% 0.09/0.31 % CPUTime :
% 0.14/0.46 % (18231)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.46 % (18241)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.46 % (18243)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.14/0.47 % (18233)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.14/0.47 % (18239)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.14/0.47 % (18251)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.14/0.48 % (18248)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.14/0.48 % (18232)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.14/0.48 TRYING [1]
% 0.14/0.48 % (18235)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.14/0.48 % (18233)Instruction limit reached!
% 0.14/0.48 % (18233)------------------------------
% 0.14/0.48 % (18233)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48 % (18232)Instruction limit reached!
% 0.14/0.48 % (18232)------------------------------
% 0.14/0.48 % (18232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.48 % (18247)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.14/0.49 % (18240)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.14/0.49 TRYING [2]
% 0.14/0.49 % (18233)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.49 % (18233)Termination reason: Unknown
% 0.14/0.49 % (18233)Termination phase: Naming
% 0.14/0.49
% 0.14/0.49 % (18233)Memory used [KB]: 895
% 0.14/0.49 % (18233)Time elapsed: 0.004 s
% 0.14/0.49 % (18233)Instructions burned: 2 (million)
% 0.14/0.49 % (18233)------------------------------
% 0.14/0.49 % (18233)------------------------------
% 0.14/0.49 % (18249)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.14/0.50 % (18232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.50 % (18232)Termination reason: Unknown
% 0.14/0.50 % (18232)Termination phase: Saturation
% 0.14/0.50
% 0.14/0.50 % (18232)Memory used [KB]: 5628
% 0.14/0.50 % (18232)Time elapsed: 0.103 s
% 0.14/0.50 % (18232)Instructions burned: 7 (million)
% 0.14/0.50 % (18232)------------------------------
% 0.14/0.50 % (18232)------------------------------
% 0.14/0.52 % (18230)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.14/0.52 TRYING [3]
% 0.14/0.53 % (18231)Instruction limit reached!
% 0.14/0.53 % (18231)------------------------------
% 0.14/0.53 % (18231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.53 % (18229)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.14/0.53 % (18238)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.14/0.53 % (18246)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.14/0.53 % (18231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.53 % (18231)Termination reason: Unknown
% 0.14/0.53 % (18231)Termination phase: Finite model building constraint generation
% 0.14/0.53
% 0.14/0.53 % (18231)Memory used [KB]: 8187
% 0.14/0.53 % (18231)Time elapsed: 0.157 s
% 0.14/0.53 % (18231)Instructions burned: 51 (million)
% 0.14/0.53 % (18231)------------------------------
% 0.14/0.53 % (18231)------------------------------
% 0.14/0.54 % (18245)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.14/0.54 % (18239)First to succeed.
% 0.14/0.54 % (18254)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.14/0.54 % (18253)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.14/0.55 % (18240)Also succeeded, but the first one will report.
% 0.14/0.55 % (18239)Refutation found. Thanks to Tanya!
% 0.14/0.55 % SZS status Theorem for theBenchmark
% 0.14/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.55 % (18239)------------------------------
% 0.14/0.55 % (18239)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.14/0.55 % (18239)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.14/0.55 % (18239)Termination reason: Refutation
% 0.14/0.55
% 0.14/0.55 % (18239)Memory used [KB]: 6268
% 0.14/0.55 % (18239)Time elapsed: 0.029 s
% 0.14/0.55 % (18239)Instructions burned: 30 (million)
% 0.14/0.55 % (18239)------------------------------
% 0.14/0.55 % (18239)------------------------------
% 0.14/0.55 % (18224)Success in time 0.232 s
%------------------------------------------------------------------------------