TSTP Solution File: SEU411+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SEU411+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 : n016.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 18:33:41 EDT 2022
% Result : Theorem 1.60s 0.58s
% Output : Refutation 1.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 21
% Syntax : Number of formulae : 123 ( 35 unt; 0 def)
% Number of atoms : 611 ( 22 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 751 ( 263 ~; 237 |; 212 &)
% ( 7 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 219 ( 197 !; 22 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f627,plain,
$false,
inference(subsumption_resolution,[],[f621,f194]) ).
fof(f194,plain,
~ r2_hidden(sF14,sF15),
inference(definition_folding,[],[f163,f193,f192]) ).
fof(f192,plain,
sF14 = k3_yellow_0(sK7),
introduced(function_definition,[]) ).
fof(f193,plain,
sF15 = u1_struct_0(sK6),
introduced(function_definition,[]) ).
fof(f163,plain,
~ r2_hidden(k3_yellow_0(sK7),u1_struct_0(sK6)),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
( ~ r2_hidden(k3_yellow_0(sK7),u1_struct_0(sK6))
& v1_yellow_0(sK7)
& ~ v3_struct_0(sK7)
& v3_orders_2(sK7)
& v4_orders_2(sK7)
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK6),u1_struct_0(sK7)),sK7)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK6),u1_struct_0(sK7)),k1_zfmisc_1(u1_struct_0(sK7)))
& l1_orders_2(sK7)
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(sK6),u1_struct_0(sK7)))
& v2_orders_2(sK7)
& ~ v3_struct_0(sK6)
& v3_orders_2(sK6)
& v2_orders_2(sK6)
& v1_yellow_0(sK6)
& l1_orders_2(sK6)
& v4_orders_2(sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f55,f102,f101]) ).
fof(f101,plain,
( ? [X0] :
( ? [X1] :
( ~ r2_hidden(k3_yellow_0(X1),u1_struct_0(X0))
& v1_yellow_0(X1)
& ~ v3_struct_0(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& l1_orders_2(X1)
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& v2_orders_2(X1) )
& ~ v3_struct_0(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& v1_yellow_0(X0)
& l1_orders_2(X0)
& v4_orders_2(X0) )
=> ( ? [X1] :
( ~ r2_hidden(k3_yellow_0(X1),u1_struct_0(sK6))
& v1_yellow_0(X1)
& ~ v3_struct_0(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK6),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK6),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& l1_orders_2(X1)
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(sK6),u1_struct_0(X1)))
& v2_orders_2(X1) )
& ~ v3_struct_0(sK6)
& v3_orders_2(sK6)
& v2_orders_2(sK6)
& v1_yellow_0(sK6)
& l1_orders_2(sK6)
& v4_orders_2(sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
( ? [X1] :
( ~ r2_hidden(k3_yellow_0(X1),u1_struct_0(sK6))
& v1_yellow_0(X1)
& ~ v3_struct_0(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK6),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK6),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& l1_orders_2(X1)
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(sK6),u1_struct_0(X1)))
& v2_orders_2(X1) )
=> ( ~ r2_hidden(k3_yellow_0(sK7),u1_struct_0(sK6))
& v1_yellow_0(sK7)
& ~ v3_struct_0(sK7)
& v3_orders_2(sK7)
& v4_orders_2(sK7)
& v12_waybel_0(k3_xboole_0(u1_struct_0(sK6),u1_struct_0(sK7)),sK7)
& m1_subset_1(k3_xboole_0(u1_struct_0(sK6),u1_struct_0(sK7)),k1_zfmisc_1(u1_struct_0(sK7)))
& l1_orders_2(sK7)
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(sK6),u1_struct_0(sK7)))
& v2_orders_2(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0] :
( ? [X1] :
( ~ r2_hidden(k3_yellow_0(X1),u1_struct_0(X0))
& v1_yellow_0(X1)
& ~ v3_struct_0(X1)
& v3_orders_2(X1)
& v4_orders_2(X1)
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& l1_orders_2(X1)
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& v2_orders_2(X1) )
& ~ v3_struct_0(X0)
& v3_orders_2(X0)
& v2_orders_2(X0)
& v1_yellow_0(X0)
& l1_orders_2(X0)
& v4_orders_2(X0) ),
inference(flattening,[],[f54]) ).
fof(f54,plain,
? [X0] :
( ? [X1] :
( ~ r2_hidden(k3_yellow_0(X1),u1_struct_0(X0))
& m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& v1_yellow_0(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1) )
& ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v1_yellow_0(X0)
& l1_orders_2(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v1_yellow_0(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v1_yellow_0(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X1)
& v2_orders_2(X1)
& v3_orders_2(X1)
& v4_orders_2(X1) )
=> ( ( m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1))) )
=> r2_hidden(k3_yellow_0(X1),u1_struct_0(X0)) ) ) ),
inference(pure_predicate_removal,[],[f51]) ).
fof(f51,plain,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v1_yellow_0(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v1_yellow_0(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X1)
& v2_orders_2(X1)
& v1_lattice3(X1)
& v3_orders_2(X1)
& v4_orders_2(X1) )
=> ( ( m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1))) )
=> r2_hidden(k3_yellow_0(X1),u1_struct_0(X0)) ) ) ),
inference(pure_predicate_removal,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v1_yellow_0(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v1_yellow_0(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X1)
& v2_orders_2(X1)
& v1_lattice3(X1)
& v3_orders_2(X1)
& v4_orders_2(X1) )
=> ( ( m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1) )
=> r2_hidden(k3_yellow_0(X1),u1_struct_0(X0)) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_orders_2(X0)
& v4_orders_2(X0)
& v3_orders_2(X0)
& v1_yellow_0(X0)
& v1_lattice3(X0)
& l1_orders_2(X0) )
=> ! [X1] :
( ( v1_yellow_0(X1)
& ~ v3_struct_0(X1)
& l1_orders_2(X1)
& v2_orders_2(X1)
& v1_lattice3(X1)
& v3_orders_2(X1)
& v4_orders_2(X1) )
=> ( ( m1_subset_1(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),k1_zfmisc_1(u1_struct_0(X1)))
& v12_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1)
& ~ v1_xboole_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
& v1_waybel_0(k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)),X1) )
=> r2_hidden(k3_yellow_0(X1),u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t20_latsum_1) ).
fof(f621,plain,
r2_hidden(sF14,sF15),
inference(resolution,[],[f612,f244]) ).
fof(f244,plain,
! [X10] :
( ~ r2_hidden(X10,sF17)
| r2_hidden(X10,sF15) ),
inference(superposition,[],[f188,f196]) ).
fof(f196,plain,
sF17 = k3_xboole_0(sF15,sF16),
introduced(function_definition,[]) ).
fof(f188,plain,
! [X2,X3,X1] :
( ~ r2_hidden(X3,k3_xboole_0(X1,X2))
| r2_hidden(X3,X1) ),
inference(equality_resolution,[],[f143]) ).
fof(f143,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X3,X0)
| k3_xboole_0(X1,X2) != X0 ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( ( r2_hidden(X3,X1)
& r2_hidden(X3,X2) )
| ~ r2_hidden(X3,X0) )
& ( r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| k3_xboole_0(X1,X2) != X0 )
& ( k3_xboole_0(X1,X2) = X0
| ( ( ~ r2_hidden(sK5(X0,X1,X2),X0)
| ~ r2_hidden(sK5(X0,X1,X2),X1)
| ~ r2_hidden(sK5(X0,X1,X2),X2) )
& ( r2_hidden(sK5(X0,X1,X2),X0)
| ( r2_hidden(sK5(X0,X1,X2),X1)
& r2_hidden(sK5(X0,X1,X2),X2) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f98,f99]) ).
fof(f99,plain,
! [X0,X1,X2] :
( ? [X4] :
( ( ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) )
& ( r2_hidden(X4,X0)
| ( r2_hidden(X4,X1)
& r2_hidden(X4,X2) ) ) )
=> ( ( ~ r2_hidden(sK5(X0,X1,X2),X0)
| ~ r2_hidden(sK5(X0,X1,X2),X1)
| ~ r2_hidden(sK5(X0,X1,X2),X2) )
& ( r2_hidden(sK5(X0,X1,X2),X0)
| ( r2_hidden(sK5(X0,X1,X2),X1)
& r2_hidden(sK5(X0,X1,X2),X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( ( r2_hidden(X3,X1)
& r2_hidden(X3,X2) )
| ~ r2_hidden(X3,X0) )
& ( r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2) ) )
| k3_xboole_0(X1,X2) != X0 )
& ( k3_xboole_0(X1,X2) = X0
| ? [X4] :
( ( ~ r2_hidden(X4,X0)
| ~ r2_hidden(X4,X1)
| ~ r2_hidden(X4,X2) )
& ( r2_hidden(X4,X0)
| ( r2_hidden(X4,X1)
& r2_hidden(X4,X2) ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,plain,
! [X0,X2,X1] :
( ( ! [X3] :
( ( ( r2_hidden(X3,X2)
& r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X0) )
& ( r2_hidden(X3,X0)
| ~ r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) ) )
| k3_xboole_0(X2,X1) != X0 )
& ( k3_xboole_0(X2,X1) = X0
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(X3,X0)
| ( r2_hidden(X3,X2)
& r2_hidden(X3,X1) ) ) ) ) ),
inference(flattening,[],[f96]) ).
fof(f96,plain,
! [X0,X2,X1] :
( ( ! [X3] :
( ( ( r2_hidden(X3,X2)
& r2_hidden(X3,X1) )
| ~ r2_hidden(X3,X0) )
& ( r2_hidden(X3,X0)
| ~ r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) ) )
| k3_xboole_0(X2,X1) != X0 )
& ( k3_xboole_0(X2,X1) = X0
| ? [X3] :
( ( ~ r2_hidden(X3,X0)
| ~ r2_hidden(X3,X2)
| ~ r2_hidden(X3,X1) )
& ( r2_hidden(X3,X0)
| ( r2_hidden(X3,X2)
& r2_hidden(X3,X1) ) ) ) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X2,X1] :
( ! [X3] :
( ( r2_hidden(X3,X2)
& r2_hidden(X3,X1) )
<=> r2_hidden(X3,X0) )
<=> k3_xboole_0(X2,X1) = X0 ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X2,X1,X0] :
( ! [X3] :
( ( r2_hidden(X3,X1)
& r2_hidden(X3,X0) )
<=> r2_hidden(X3,X2) )
<=> k3_xboole_0(X0,X1) = X2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f612,plain,
r2_hidden(sF14,sF17),
inference(resolution,[],[f575,f296]) ).
fof(f296,plain,
r2_hidden(sK8(sF17),sF17),
inference(forward_demodulation,[],[f293,f196]) ).
fof(f293,plain,
r2_hidden(sK8(sF17),k3_xboole_0(sF15,sF16)),
inference(resolution,[],[f289,f270]) ).
fof(f270,plain,
r2_hidden(sK8(sF17),sF16),
inference(resolution,[],[f266,f165]) ).
fof(f165,plain,
! [X0] : m1_subset_1(sK8(X0),X0),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] : m1_subset_1(sK8(X0),X0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f18,f104]) ).
fof(f104,plain,
! [X0] :
( ? [X1] : m1_subset_1(X1,X0)
=> m1_subset_1(sK8(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f18,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f266,plain,
! [X0] :
( ~ m1_subset_1(X0,sF17)
| r2_hidden(X0,sF16) ),
inference(subsumption_resolution,[],[f265,f200]) ).
fof(f200,plain,
~ v1_xboole_0(sF17),
inference(definition_folding,[],[f155,f196,f195,f193]) ).
fof(f195,plain,
u1_struct_0(sK7) = sF16,
introduced(function_definition,[]) ).
fof(f155,plain,
~ v1_xboole_0(k3_xboole_0(u1_struct_0(sK6),u1_struct_0(sK7))),
inference(cnf_transformation,[],[f103]) ).
fof(f265,plain,
! [X0] :
( r2_hidden(X0,sF16)
| v1_xboole_0(sF17)
| ~ m1_subset_1(X0,sF17) ),
inference(resolution,[],[f260,f133]) ).
fof(f133,plain,
! [X0,X1] :
( r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f260,plain,
! [X10] :
( ~ r2_hidden(X10,sF17)
| r2_hidden(X10,sF16) ),
inference(superposition,[],[f189,f196]) ).
fof(f189,plain,
! [X2,X3,X1] :
( ~ r2_hidden(X3,k3_xboole_0(X1,X2))
| r2_hidden(X3,X2) ),
inference(equality_resolution,[],[f142]) ).
fof(f142,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X3,X2)
| ~ r2_hidden(X3,X0)
| k3_xboole_0(X1,X2) != X0 ),
inference(cnf_transformation,[],[f100]) ).
fof(f289,plain,
! [X5] :
( ~ r2_hidden(sK8(sF17),X5)
| r2_hidden(sK8(sF17),k3_xboole_0(sF15,X5)) ),
inference(resolution,[],[f190,f249]) ).
fof(f249,plain,
r2_hidden(sK8(sF17),sF15),
inference(resolution,[],[f248,f165]) ).
fof(f248,plain,
! [X0] :
( ~ m1_subset_1(X0,sF17)
| r2_hidden(X0,sF15) ),
inference(subsumption_resolution,[],[f247,f200]) ).
fof(f247,plain,
! [X0] :
( r2_hidden(X0,sF15)
| v1_xboole_0(sF17)
| ~ m1_subset_1(X0,sF17) ),
inference(resolution,[],[f244,f133]) ).
fof(f190,plain,
! [X2,X3,X1] :
( ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2)
| r2_hidden(X3,k3_xboole_0(X1,X2)) ),
inference(equality_resolution,[],[f141]) ).
fof(f141,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X3,X0)
| ~ r2_hidden(X3,X1)
| ~ r2_hidden(X3,X2)
| k3_xboole_0(X1,X2) != X0 ),
inference(cnf_transformation,[],[f100]) ).
fof(f575,plain,
! [X1] :
( ~ r2_hidden(X1,sF17)
| r2_hidden(sF14,sF17) ),
inference(subsumption_resolution,[],[f574,f210]) ).
fof(f210,plain,
m1_subset_1(sF14,sF16),
inference(forward_demodulation,[],[f209,f192]) ).
fof(f209,plain,
m1_subset_1(k3_yellow_0(sK7),sF16),
inference(subsumption_resolution,[],[f208,f156]) ).
fof(f156,plain,
l1_orders_2(sK7),
inference(cnf_transformation,[],[f103]) ).
fof(f208,plain,
( m1_subset_1(k3_yellow_0(sK7),sF16)
| ~ l1_orders_2(sK7) ),
inference(superposition,[],[f147,f195]) ).
fof(f147,plain,
! [X0] :
( m1_subset_1(k3_yellow_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0] :
( m1_subset_1(k3_yellow_0(X0),u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( l1_orders_2(X0)
=> m1_subset_1(k3_yellow_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_yellow_0) ).
fof(f574,plain,
! [X1] :
( ~ r2_hidden(X1,sF17)
| ~ m1_subset_1(sF14,sF16)
| r2_hidden(sF14,sF17) ),
inference(forward_demodulation,[],[f573,f192]) ).
fof(f573,plain,
! [X1] :
( ~ m1_subset_1(k3_yellow_0(sK7),sF16)
| ~ r2_hidden(X1,sF17)
| r2_hidden(sF14,sF17) ),
inference(subsumption_resolution,[],[f572,f559]) ).
fof(f559,plain,
! [X0] :
( ~ r2_hidden(X0,sF17)
| m1_subset_1(X0,sF16) ),
inference(forward_demodulation,[],[f558,f196]) ).
fof(f558,plain,
! [X0] :
( ~ r2_hidden(X0,k3_xboole_0(sF15,sF16))
| m1_subset_1(X0,sF16) ),
inference(forward_demodulation,[],[f557,f180]) ).
fof(f180,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(rectify,[],[f45]) ).
fof(f45,plain,
! [X1,X0] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f557,plain,
! [X0] :
( ~ r2_hidden(X0,k3_xboole_0(sF16,sF15))
| m1_subset_1(X0,sF16) ),
inference(forward_demodulation,[],[f556,f193]) ).
fof(f556,plain,
! [X0] :
( ~ r2_hidden(X0,k3_xboole_0(sF16,u1_struct_0(sK6)))
| m1_subset_1(X0,sF16) ),
inference(subsumption_resolution,[],[f550,f153]) ).
fof(f153,plain,
~ v3_struct_0(sK6),
inference(cnf_transformation,[],[f103]) ).
fof(f550,plain,
! [X0] :
( v3_struct_0(sK6)
| ~ r2_hidden(X0,k3_xboole_0(sF16,u1_struct_0(sK6)))
| m1_subset_1(X0,sF16) ),
inference(resolution,[],[f425,f149]) ).
fof(f149,plain,
l1_orders_2(sK6),
inference(cnf_transformation,[],[f103]) ).
fof(f425,plain,
! [X2,X3] :
( ~ l1_orders_2(X3)
| ~ r2_hidden(X2,k3_xboole_0(sF16,u1_struct_0(X3)))
| v3_struct_0(X3)
| m1_subset_1(X2,sF16) ),
inference(forward_demodulation,[],[f424,f180]) ).
fof(f424,plain,
! [X2,X3] :
( v3_struct_0(X3)
| ~ l1_orders_2(X3)
| m1_subset_1(X2,sF16)
| ~ r2_hidden(X2,k3_xboole_0(u1_struct_0(X3),sF16)) ),
inference(forward_demodulation,[],[f423,f195]) ).
fof(f423,plain,
! [X2,X3] :
( ~ r2_hidden(X2,k3_xboole_0(u1_struct_0(X3),u1_struct_0(sK7)))
| m1_subset_1(X2,sF16)
| v3_struct_0(X3)
| ~ l1_orders_2(X3) ),
inference(forward_demodulation,[],[f422,f195]) ).
fof(f422,plain,
! [X2,X3] :
( ~ l1_orders_2(X3)
| v3_struct_0(X3)
| m1_subset_1(X2,u1_struct_0(sK7))
| ~ r2_hidden(X2,k3_xboole_0(u1_struct_0(X3),u1_struct_0(sK7))) ),
inference(subsumption_resolution,[],[f416,f161]) ).
fof(f161,plain,
~ v3_struct_0(sK7),
inference(cnf_transformation,[],[f103]) ).
fof(f416,plain,
! [X2,X3] :
( m1_subset_1(X2,u1_struct_0(sK7))
| v3_struct_0(sK7)
| ~ l1_orders_2(X3)
| v3_struct_0(X3)
| ~ r2_hidden(X2,k3_xboole_0(u1_struct_0(X3),u1_struct_0(sK7))) ),
inference(resolution,[],[f125,f156]) ).
fof(f125,plain,
! [X2,X0,X1] :
( ~ l1_orders_2(X1)
| m1_subset_1(X2,u1_struct_0(X1))
| v3_struct_0(X1)
| ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ~ r2_hidden(X2,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0] :
( ~ l1_orders_2(X0)
| v3_struct_0(X0)
| ! [X1] :
( v3_struct_0(X1)
| ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1))) )
| ~ l1_orders_2(X1) ) ),
inference(flattening,[],[f64]) ).
fof(f64,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X1))
| ~ r2_hidden(X2,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1))) )
| v3_struct_0(X1)
| ~ l1_orders_2(X1) )
| ~ l1_orders_2(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( ( l1_orders_2(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& l1_orders_2(X1) )
=> ! [X2] :
( r2_hidden(X2,k3_xboole_0(u1_struct_0(X0),u1_struct_0(X1)))
=> m1_subset_1(X2,u1_struct_0(X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_latsum_1) ).
fof(f572,plain,
! [X1] :
( r2_hidden(sF14,sF17)
| ~ r2_hidden(X1,sF17)
| ~ m1_subset_1(X1,sF16)
| ~ m1_subset_1(k3_yellow_0(sK7),sF16) ),
inference(forward_demodulation,[],[f571,f195]) ).
fof(f571,plain,
! [X1] :
( ~ m1_subset_1(X1,u1_struct_0(sK7))
| ~ r2_hidden(X1,sF17)
| ~ m1_subset_1(k3_yellow_0(sK7),sF16)
| r2_hidden(sF14,sF17) ),
inference(forward_demodulation,[],[f570,f192]) ).
fof(f570,plain,
! [X1] :
( ~ r2_hidden(X1,sF17)
| r2_hidden(k3_yellow_0(sK7),sF17)
| ~ m1_subset_1(k3_yellow_0(sK7),sF16)
| ~ m1_subset_1(X1,u1_struct_0(sK7)) ),
inference(subsumption_resolution,[],[f569,f162]) ).
fof(f162,plain,
v1_yellow_0(sK7),
inference(cnf_transformation,[],[f103]) ).
fof(f569,plain,
! [X1] :
( r2_hidden(k3_yellow_0(sK7),sF17)
| ~ v1_yellow_0(sK7)
| ~ m1_subset_1(X1,u1_struct_0(sK7))
| ~ r2_hidden(X1,sF17)
| ~ m1_subset_1(k3_yellow_0(sK7),sF16) ),
inference(subsumption_resolution,[],[f568,f156]) ).
fof(f568,plain,
! [X1] :
( ~ r2_hidden(X1,sF17)
| ~ l1_orders_2(sK7)
| r2_hidden(k3_yellow_0(sK7),sF17)
| ~ m1_subset_1(X1,u1_struct_0(sK7))
| ~ v1_yellow_0(sK7)
| ~ m1_subset_1(k3_yellow_0(sK7),sF16) ),
inference(subsumption_resolution,[],[f567,f161]) ).
fof(f567,plain,
! [X1] :
( r2_hidden(k3_yellow_0(sK7),sF17)
| ~ r2_hidden(X1,sF17)
| ~ m1_subset_1(X1,u1_struct_0(sK7))
| v3_struct_0(sK7)
| ~ v1_yellow_0(sK7)
| ~ m1_subset_1(k3_yellow_0(sK7),sF16)
| ~ l1_orders_2(sK7) ),
inference(subsumption_resolution,[],[f561,f159]) ).
fof(f159,plain,
v4_orders_2(sK7),
inference(cnf_transformation,[],[f103]) ).
fof(f561,plain,
! [X1] :
( ~ v4_orders_2(sK7)
| ~ m1_subset_1(X1,u1_struct_0(sK7))
| ~ r2_hidden(X1,sF17)
| ~ l1_orders_2(sK7)
| ~ m1_subset_1(k3_yellow_0(sK7),sF16)
| r2_hidden(k3_yellow_0(sK7),sF17)
| v3_struct_0(sK7)
| ~ v1_yellow_0(sK7) ),
inference(resolution,[],[f473,f178]) ).
fof(f178,plain,
! [X0,X1] :
( r1_orders_2(X0,k3_yellow_0(X0),X1)
| ~ v4_orders_2(X0)
| ~ v1_yellow_0(X0)
| v3_struct_0(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ l1_orders_2(X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0] :
( ! [X1] :
( r1_orders_2(X0,k3_yellow_0(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_yellow_0(X0)
| ~ l1_orders_2(X0)
| ~ v4_orders_2(X0) ),
inference(flattening,[],[f69]) ).
fof(f69,plain,
! [X0] :
( ! [X1] :
( r1_orders_2(X0,k3_yellow_0(X0),X1)
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ l1_orders_2(X0)
| ~ v1_yellow_0(X0)
| ~ v4_orders_2(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_orders_2(X0)
& v1_yellow_0(X0)
& v4_orders_2(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> r1_orders_2(X0,k3_yellow_0(X0),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t44_yellow_0) ).
fof(f473,plain,
! [X0,X1] :
( ~ r1_orders_2(sK7,X0,X1)
| ~ m1_subset_1(X0,sF16)
| r2_hidden(X0,sF17)
| ~ r2_hidden(X1,sF17) ),
inference(subsumption_resolution,[],[f472,f199]) ).
fof(f199,plain,
m1_subset_1(sF17,sF18),
inference(definition_folding,[],[f157,f198,f195,f196,f195,f193]) ).
fof(f198,plain,
k1_zfmisc_1(sF16) = sF18,
introduced(function_definition,[]) ).
fof(f157,plain,
m1_subset_1(k3_xboole_0(u1_struct_0(sK6),u1_struct_0(sK7)),k1_zfmisc_1(u1_struct_0(sK7))),
inference(cnf_transformation,[],[f103]) ).
fof(f472,plain,
! [X0,X1] :
( ~ m1_subset_1(sF17,sF18)
| ~ r2_hidden(X1,sF17)
| ~ m1_subset_1(X0,sF16)
| ~ r1_orders_2(sK7,X0,X1)
| r2_hidden(X0,sF17) ),
inference(forward_demodulation,[],[f471,f198]) ).
fof(f471,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF16)
| ~ m1_subset_1(sF17,k1_zfmisc_1(sF16))
| ~ r2_hidden(X1,sF17)
| ~ r1_orders_2(sK7,X0,X1)
| r2_hidden(X0,sF17) ),
inference(forward_demodulation,[],[f470,f195]) ).
fof(f470,plain,
! [X0,X1] :
( ~ r1_orders_2(sK7,X0,X1)
| ~ r2_hidden(X1,sF17)
| ~ m1_subset_1(X0,sF16)
| ~ m1_subset_1(sF17,k1_zfmisc_1(u1_struct_0(sK7)))
| r2_hidden(X0,sF17) ),
inference(forward_demodulation,[],[f469,f195]) ).
fof(f469,plain,
! [X0,X1] :
( ~ r1_orders_2(sK7,X0,X1)
| ~ m1_subset_1(X0,u1_struct_0(sK7))
| r2_hidden(X0,sF17)
| ~ m1_subset_1(sF17,k1_zfmisc_1(u1_struct_0(sK7)))
| ~ r2_hidden(X1,sF17) ),
inference(subsumption_resolution,[],[f465,f156]) ).
fof(f465,plain,
! [X0,X1] :
( ~ m1_subset_1(sF17,k1_zfmisc_1(u1_struct_0(sK7)))
| ~ r2_hidden(X1,sF17)
| ~ l1_orders_2(sK7)
| ~ r1_orders_2(sK7,X0,X1)
| r2_hidden(X0,sF17)
| ~ m1_subset_1(X0,u1_struct_0(sK7)) ),
inference(resolution,[],[f201,f197]) ).
fof(f197,plain,
v12_waybel_0(sF17,sK7),
inference(definition_folding,[],[f158,f196,f195,f193]) ).
fof(f158,plain,
v12_waybel_0(k3_xboole_0(u1_struct_0(sK6),u1_struct_0(sK7)),sK7),
inference(cnf_transformation,[],[f103]) ).
fof(f201,plain,
! [X0,X1,X4,X5] :
( ~ v12_waybel_0(X1,X0)
| ~ l1_orders_2(X0)
| ~ r1_orders_2(X0,X5,X4)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ r2_hidden(X4,X1)
| ~ m1_subset_1(X5,u1_struct_0(X0))
| r2_hidden(X5,X1) ),
inference(subsumption_resolution,[],[f169,f126]) ).
fof(f126,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X1,X0)
| m1_subset_1(X1,X2)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2)) ),
inference(cnf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2] :
( m1_subset_1(X1,X2)
| ~ r2_hidden(X1,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X2)) ),
inference(rectify,[],[f59]) ).
fof(f59,plain,
! [X0,X2,X1] :
( m1_subset_1(X2,X1)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(flattening,[],[f58]) ).
fof(f58,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r2_hidden(X2,X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
& r2_hidden(X2,X0) )
=> m1_subset_1(X2,X1) ),
inference(rectify,[],[f36]) ).
fof(f36,axiom,
! [X1,X2,X0] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f169,plain,
! [X0,X1,X4,X5] :
( ~ l1_orders_2(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v12_waybel_0(X1,X0)
| ~ m1_subset_1(X4,u1_struct_0(X0))
| r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| ~ r1_orders_2(X0,X5,X4)
| ~ m1_subset_1(X5,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( v12_waybel_0(X1,X0)
| ( ~ r2_hidden(sK10(X0,X1),X1)
& r2_hidden(sK9(X0,X1),X1)
& r1_orders_2(X0,sK10(X0,X1),sK9(X0,X1))
& m1_subset_1(sK10(X0,X1),u1_struct_0(X0))
& m1_subset_1(sK9(X0,X1),u1_struct_0(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| ~ r1_orders_2(X0,X5,X4)
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ v12_waybel_0(X1,X0) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10])],[f110,f112,f111]) ).
fof(f111,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(X3,X1)
& r2_hidden(X2,X1)
& r1_orders_2(X0,X3,X2)
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
=> ( ? [X3] :
( ~ r2_hidden(X3,X1)
& r2_hidden(sK9(X0,X1),X1)
& r1_orders_2(X0,X3,sK9(X0,X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(sK9(X0,X1),u1_struct_0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f112,plain,
! [X0,X1] :
( ? [X3] :
( ~ r2_hidden(X3,X1)
& r2_hidden(sK9(X0,X1),X1)
& r1_orders_2(X0,X3,sK9(X0,X1))
& m1_subset_1(X3,u1_struct_0(X0)) )
=> ( ~ r2_hidden(sK10(X0,X1),X1)
& r2_hidden(sK9(X0,X1),X1)
& r1_orders_2(X0,sK10(X0,X1),sK9(X0,X1))
& m1_subset_1(sK10(X0,X1),u1_struct_0(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f110,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( v12_waybel_0(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r2_hidden(X3,X1)
& r2_hidden(X2,X1)
& r1_orders_2(X0,X3,X2)
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X4] :
( ! [X5] :
( r2_hidden(X5,X1)
| ~ r2_hidden(X4,X1)
| ~ r1_orders_2(X0,X5,X4)
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ v12_waybel_0(X1,X0) ) ) ) ),
inference(rectify,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( ( v12_waybel_0(X1,X0)
| ? [X2] :
( ? [X3] :
( ~ r2_hidden(X3,X1)
& r2_hidden(X2,X1)
& r1_orders_2(X0,X3,X2)
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) ) )
& ( ! [X2] :
( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| ~ r1_orders_2(X0,X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ v12_waybel_0(X1,X0) ) ) ) ),
inference(nnf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0] :
( ~ l1_orders_2(X0)
| ! [X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ( v12_waybel_0(X1,X0)
<=> ! [X2] :
( ! [X3] :
( r2_hidden(X3,X1)
| ~ r2_hidden(X2,X1)
| ~ r1_orders_2(X0,X3,X2)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) ) ) ) ),
inference(flattening,[],[f82]) ).
fof(f82,plain,
! [X0] :
( ! [X1] :
( ( ! [X2] :
( ! [X3] :
( r2_hidden(X3,X1)
| ~ r1_orders_2(X0,X3,X2)
| ~ r2_hidden(X2,X1)
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
<=> v12_waybel_0(X1,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_orders_2(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( l1_orders_2(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r1_orders_2(X0,X3,X2)
& r2_hidden(X2,X1) )
=> r2_hidden(X3,X1) ) ) )
<=> v12_waybel_0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d19_waybel_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU411+1 : TPTP v8.1.0. Released v3.4.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 15:50:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.47 % (13178)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.47 % (13207)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)
% 0.18/0.47 % (13187)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.48 % (13190)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.48 % (13196)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.49 % (13181)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (13191)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)
% 0.18/0.50 % (13176)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.51 % (13205)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.51 % (13183)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)
% 0.18/0.51 % (13182)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)
% 0.18/0.52 % (13179)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (13177)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 % (13177)Refutation not found, incomplete strategy% (13177)------------------------------
% 0.18/0.52 % (13177)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.52 % (13177)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.52 % (13177)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.52
% 0.18/0.52 % (13177)Memory used [KB]: 5628
% 0.18/0.52 % (13177)Time elapsed: 0.133 s
% 0.18/0.52 % (13177)Instructions burned: 6 (million)
% 0.18/0.52 % (13177)------------------------------
% 0.18/0.52 % (13177)------------------------------
% 0.18/0.52 % (13200)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)
% 0.18/0.52 % (13206)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.53 % (13192)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)
% 0.18/0.53 % (13193)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)
% 0.18/0.53 % (13197)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)
% 0.18/0.53 % (13204)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)
% 0.18/0.53 % (13178)Instruction limit reached!
% 0.18/0.53 % (13178)------------------------------
% 0.18/0.53 % (13178)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (13178)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (13178)Termination reason: Unknown
% 0.18/0.53 % (13178)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (13178)Memory used [KB]: 1407
% 0.18/0.53 % (13178)Time elapsed: 0.161 s
% 0.18/0.53 % (13178)Instructions burned: 38 (million)
% 0.18/0.53 % (13178)------------------------------
% 0.18/0.53 % (13178)------------------------------
% 0.18/0.53 TRYING [1]
% 0.18/0.53 % (13189)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.53 % (13184)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.53 TRYING [2]
% 1.49/0.53 TRYING [3]
% 1.49/0.54 TRYING [1]
% 1.49/0.54 % (13184)Instruction limit reached!
% 1.49/0.54 % (13184)------------------------------
% 1.49/0.54 % (13184)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.49/0.54 % (13184)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.49/0.54 % (13184)Termination reason: Unknown
% 1.49/0.54 % (13184)Termination phase: Saturation
% 1.49/0.54
% 1.49/0.54 % (13184)Memory used [KB]: 5500
% 1.49/0.54 % (13184)Time elapsed: 0.112 s
% 1.49/0.54 % (13184)Instructions burned: 7 (million)
% 1.49/0.54 % (13184)------------------------------
% 1.49/0.54 % (13184)------------------------------
% 1.49/0.54 % (13201)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.49/0.54 % (13188)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.49/0.54 % (13186)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.49/0.54 TRYING [2]
% 1.49/0.54 % (13195)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.49/0.54 % (13198)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.49/0.54 % (13199)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)
% 1.49/0.54 % (13203)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.49/0.54 TRYING [3]
% 1.49/0.54 % (13194)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.60/0.55 % (13185)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.60/0.55 % (13185)Instruction limit reached!
% 1.60/0.55 % (13185)------------------------------
% 1.60/0.55 % (13185)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.55 % (13185)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.55 % (13185)Termination reason: Unknown
% 1.60/0.55 % (13185)Termination phase: Blocked clause elimination
% 1.60/0.55
% 1.60/0.55 % (13185)Memory used [KB]: 1023
% 1.60/0.55 % (13185)Time elapsed: 0.004 s
% 1.60/0.55 % (13185)Instructions burned: 3 (million)
% 1.60/0.55 % (13185)------------------------------
% 1.60/0.55 % (13185)------------------------------
% 1.60/0.55 TRYING [1]
% 1.60/0.55 TRYING [2]
% 1.60/0.55 TRYING [3]
% 1.60/0.56 % (13187)Instruction limit reached!
% 1.60/0.56 % (13187)------------------------------
% 1.60/0.56 % (13187)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.56 % (13187)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.56 % (13187)Termination reason: Unknown
% 1.60/0.56 % (13187)Termination phase: Saturation
% 1.60/0.56
% 1.60/0.56 % (13187)Memory used [KB]: 6140
% 1.60/0.56 % (13187)Time elapsed: 0.172 s
% 1.60/0.56 % (13187)Instructions burned: 50 (million)
% 1.60/0.56 % (13187)------------------------------
% 1.60/0.56 % (13187)------------------------------
% 1.60/0.56 TRYING [4]
% 1.60/0.56 TRYING [4]
% 1.60/0.57 % (13181)Instruction limit reached!
% 1.60/0.57 % (13181)------------------------------
% 1.60/0.57 % (13181)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.57 % (13181)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.57 % (13181)Termination reason: Unknown
% 1.60/0.57 % (13181)Termination phase: Saturation
% 1.60/0.57
% 1.60/0.57 % (13181)Memory used [KB]: 6140
% 1.60/0.57 % (13181)Time elapsed: 0.187 s
% 1.60/0.57 % (13181)Instructions burned: 52 (million)
% 1.60/0.57 % (13181)------------------------------
% 1.60/0.57 % (13181)------------------------------
% 1.60/0.58 % (13192)First to succeed.
% 1.60/0.58 TRYING [4]
% 1.60/0.58 % (13192)Refutation found. Thanks to Tanya!
% 1.60/0.58 % SZS status Theorem for theBenchmark
% 1.60/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.60/0.59 % (13192)------------------------------
% 1.60/0.59 % (13192)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.60/0.59 % (13192)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.60/0.59 % (13192)Termination reason: Refutation
% 1.60/0.59
% 1.60/0.59 % (13192)Memory used [KB]: 1407
% 1.60/0.59 % (13192)Time elapsed: 0.161 s
% 1.60/0.59 % (13192)Instructions burned: 25 (million)
% 1.60/0.59 % (13192)------------------------------
% 1.60/0.59 % (13192)------------------------------
% 1.60/0.59 % (13174)Success in time 0.239 s
%------------------------------------------------------------------------------