TSTP Solution File: SWV122+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV122+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n032.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 : Sun May 5 10:28:09 EDT 2024
% Result : Theorem 0.44s 0.69s
% Output : Refutation 0.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 84 ( 4 unt; 0 def)
% Number of atoms : 479 ( 63 equ)
% Maximal formula atoms : 30 ( 5 avg)
% Number of connectives : 597 ( 202 ~; 190 |; 173 &)
% ( 8 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 10 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-3 aty)
% Number of variables : 114 ( 80 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f334,plain,
$false,
inference(avatar_sat_refutation,[],[f262,f267,f272,f277,f282,f298,f321,f333]) ).
fof(f333,plain,
~ spl9_1,
inference(avatar_contradiction_clause,[],[f332]) ).
fof(f332,plain,
( $false
| ~ spl9_1 ),
inference(subsumption_resolution,[],[f331,f253]) ).
fof(f253,plain,
( sP0
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f251,plain,
( spl9_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_1])]) ).
fof(f331,plain,
( ~ sP0
| ~ spl9_1 ),
inference(subsumption_resolution,[],[f330,f322]) ).
fof(f322,plain,
( leq(n0,sK4)
| ~ spl9_1 ),
inference(resolution,[],[f253,f145]) ).
fof(f145,plain,
( ~ sP0
| leq(n0,sK4) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
( ( a_select3(q_ds1_filter,sK4,sK5) != a_select3(q_ds1_filter,sK5,sK4)
& leq(sK5,minus(n6,n1))
& leq(sK4,minus(n6,n1))
& leq(n0,sK5)
& leq(n0,sK4) )
| ~ sP0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f131,f132]) ).
fof(f132,plain,
( ? [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(q_ds1_filter,sK4,sK5) != a_select3(q_ds1_filter,sK5,sK4)
& leq(sK5,minus(n6,n1))
& leq(sK4,minus(n6,n1))
& leq(n0,sK5)
& leq(n0,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f131,plain,
( ? [X0,X1] :
( a_select3(q_ds1_filter,X0,X1) != a_select3(q_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP0 ),
inference(rectify,[],[f130]) ).
fof(f130,plain,
( ? [X10,X11] :
( a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
| ~ sP0 ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
( ? [X10,X11] :
( a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f330,plain,
( ~ leq(n0,sK4)
| ~ sP0
| ~ spl9_1 ),
inference(subsumption_resolution,[],[f329,f323]) ).
fof(f323,plain,
( leq(n0,sK5)
| ~ spl9_1 ),
inference(resolution,[],[f253,f146]) ).
fof(f146,plain,
( ~ sP0
| leq(n0,sK5) ),
inference(cnf_transformation,[],[f133]) ).
fof(f329,plain,
( ~ leq(n0,sK5)
| ~ leq(n0,sK4)
| ~ sP0
| ~ spl9_1 ),
inference(subsumption_resolution,[],[f328,f324]) ).
fof(f324,plain,
( leq(sK4,minus(n6,n1))
| ~ spl9_1 ),
inference(resolution,[],[f253,f147]) ).
fof(f147,plain,
( ~ sP0
| leq(sK4,minus(n6,n1)) ),
inference(cnf_transformation,[],[f133]) ).
fof(f328,plain,
( ~ leq(sK4,minus(n6,n1))
| ~ leq(n0,sK5)
| ~ leq(n0,sK4)
| ~ sP0
| ~ spl9_1 ),
inference(subsumption_resolution,[],[f327,f325]) ).
fof(f325,plain,
( leq(sK5,minus(n6,n1))
| ~ spl9_1 ),
inference(resolution,[],[f253,f148]) ).
fof(f148,plain,
( ~ sP0
| leq(sK5,minus(n6,n1)) ),
inference(cnf_transformation,[],[f133]) ).
fof(f327,plain,
( ~ leq(sK5,minus(n6,n1))
| ~ leq(sK4,minus(n6,n1))
| ~ leq(n0,sK5)
| ~ leq(n0,sK4)
| ~ sP0 ),
inference(resolution,[],[f230,f226]) ).
fof(f226,plain,
( ~ sQ8_eqProxy(a_select3(q_ds1_filter,sK4,sK5),a_select3(q_ds1_filter,sK5,sK4))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f149,f224]) ).
fof(f224,plain,
! [X0,X1] :
( sQ8_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ8_eqProxy])]) ).
fof(f149,plain,
( a_select3(q_ds1_filter,sK4,sK5) != a_select3(q_ds1_filter,sK5,sK4)
| ~ sP0 ),
inference(cnf_transformation,[],[f133]) ).
fof(f230,plain,
! [X6,X7] :
( sQ8_eqProxy(a_select3(q_ds1_filter,X6,X7),a_select3(q_ds1_filter,X7,X6))
| ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) ),
inference(equality_proxy_replacement,[],[f150,f224]) ).
fof(f150,plain,
! [X6,X7] :
( a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) ),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
( ( ( a_select3(pminus_ds1_filter,sK6,sK7) != a_select3(pminus_ds1_filter,sK7,sK6)
& leq(sK7,minus(n6,n1))
& leq(sK6,minus(n6,n1))
& leq(n0,sK7)
& leq(n0,sK6) )
| sP1
| sP0 )
& ! [X2,X3] :
( a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f134,f135]) ).
fof(f135,plain,
( ? [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) != a_select3(pminus_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(pminus_ds1_filter,sK6,sK7) != a_select3(pminus_ds1_filter,sK7,sK6)
& leq(sK7,minus(n6,n1))
& leq(sK6,minus(n6,n1))
& leq(n0,sK7)
& leq(n0,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
( ( ? [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) != a_select3(pminus_ds1_filter,X1,X0)
& leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
| sP1
| sP0 )
& ! [X2,X3] :
( a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) )
& ! [X6,X7] :
( a_select3(q_ds1_filter,X6,X7) = a_select3(q_ds1_filter,X7,X6)
| ~ leq(X7,minus(n6,n1))
| ~ leq(X6,minus(n6,n1))
| ~ leq(n0,X7)
| ~ leq(n0,X6) ) ),
inference(rectify,[],[f125]) ).
fof(f125,plain,
( ( ? [X6,X7] :
( a_select3(pminus_ds1_filter,X6,X7) != a_select3(pminus_ds1_filter,X7,X6)
& leq(X7,minus(n6,n1))
& leq(X6,minus(n6,n1))
& leq(n0,X7)
& leq(n0,X6) )
| sP1
| sP0 )
& ! [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(X3,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) ) ),
inference(definition_folding,[],[f98,f124,f123]) ).
fof(f124,plain,
( ? [X8,X9] :
( a_select3(r_ds1_filter,X8,X9) != a_select3(r_ds1_filter,X9,X8)
& leq(X9,minus(n3,n1))
& leq(X8,minus(n3,n1))
& leq(n0,X9)
& leq(n0,X8) )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f98,plain,
( ( ? [X6,X7] :
( a_select3(pminus_ds1_filter,X6,X7) != a_select3(pminus_ds1_filter,X7,X6)
& leq(X7,minus(n6,n1))
& leq(X6,minus(n6,n1))
& leq(n0,X7)
& leq(n0,X6) )
| ? [X8,X9] :
( a_select3(r_ds1_filter,X8,X9) != a_select3(r_ds1_filter,X9,X8)
& leq(X9,minus(n3,n1))
& leq(X8,minus(n3,n1))
& leq(n0,X9)
& leq(n0,X8) )
| ? [X10,X11] :
( a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) ) )
& ! [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(X3,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) ) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
( ( ? [X6,X7] :
( a_select3(pminus_ds1_filter,X6,X7) != a_select3(pminus_ds1_filter,X7,X6)
& leq(X7,minus(n6,n1))
& leq(X6,minus(n6,n1))
& leq(n0,X7)
& leq(n0,X6) )
| ? [X8,X9] :
( a_select3(r_ds1_filter,X8,X9) != a_select3(r_ds1_filter,X9,X8)
& leq(X9,minus(n3,n1))
& leq(X8,minus(n3,n1))
& leq(n0,X9)
& leq(n0,X8) )
| ? [X10,X11] :
( a_select3(q_ds1_filter,X10,X11) != a_select3(q_ds1_filter,X11,X10)
& leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) ) )
& ! [X0,X1] :
( a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0)
| ~ leq(X1,minus(n6,n1))
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& ! [X2,X3] :
( a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2)
| ~ leq(X3,minus(n3,n1))
| ~ leq(X2,minus(n3,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& ! [X4,X5] :
( a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4)
| ~ leq(X5,minus(n6,n1))
| ~ leq(X4,minus(n6,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) ) ),
inference(ennf_transformation,[],[f96]) ).
fof(f96,plain,
~ ( ( ! [X0,X1] :
( ( leq(X1,minus(n6,n1))
& leq(X0,minus(n6,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> a_select3(pminus_ds1_filter,X0,X1) = a_select3(pminus_ds1_filter,X1,X0) )
& ! [X2,X3] :
( ( leq(X3,minus(n3,n1))
& leq(X2,minus(n3,n1))
& leq(n0,X3)
& leq(n0,X2) )
=> a_select3(r_ds1_filter,X2,X3) = a_select3(r_ds1_filter,X3,X2) )
& ! [X4,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X4,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X4) )
=> a_select3(q_ds1_filter,X4,X5) = a_select3(q_ds1_filter,X5,X4) ) )
=> ( ! [X6,X7] :
( ( leq(X7,minus(n6,n1))
& leq(X6,minus(n6,n1))
& leq(n0,X7)
& leq(n0,X6) )
=> a_select3(pminus_ds1_filter,X6,X7) = a_select3(pminus_ds1_filter,X7,X6) )
& ! [X8,X9] :
( ( leq(X9,minus(n3,n1))
& leq(X8,minus(n3,n1))
& leq(n0,X9)
& leq(n0,X8) )
=> a_select3(r_ds1_filter,X8,X9) = a_select3(r_ds1_filter,X9,X8) )
& ! [X10,X11] :
( ( leq(X11,minus(n6,n1))
& leq(X10,minus(n6,n1))
& leq(n0,X11)
& leq(n0,X10) )
=> a_select3(q_ds1_filter,X10,X11) = a_select3(q_ds1_filter,X11,X10) ) ) ),
inference(rectify,[],[f54]) ).
fof(f54,negated_conjecture,
~ ( ( ! [X20,X21] :
( ( leq(X21,minus(n6,n1))
& leq(X20,minus(n6,n1))
& leq(n0,X21)
& leq(n0,X20) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) )
& ! [X3,X19] :
( ( leq(X19,minus(n3,n1))
& leq(X3,minus(n3,n1))
& leq(n0,X19)
& leq(n0,X3) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [X13,X17] :
( ( leq(X17,minus(n6,n1))
& leq(X13,minus(n6,n1))
& leq(n0,X17)
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) ) )
=> ( ! [X15,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X15,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X15) )
=> a_select3(pminus_ds1_filter,X15,X5) = a_select3(pminus_ds1_filter,X5,X15) )
& ! [X4,X10] :
( ( leq(X10,minus(n3,n1))
& leq(X4,minus(n3,n1))
& leq(n0,X10)
& leq(n0,X4) )
=> a_select3(r_ds1_filter,X4,X10) = a_select3(r_ds1_filter,X10,X4) )
& ! [X27,X28] :
( ( leq(X28,minus(n6,n1))
& leq(X27,minus(n6,n1))
& leq(n0,X28)
& leq(n0,X27) )
=> a_select3(q_ds1_filter,X27,X28) = a_select3(q_ds1_filter,X28,X27) ) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f53,conjecture,
( ( ! [X20,X21] :
( ( leq(X21,minus(n6,n1))
& leq(X20,minus(n6,n1))
& leq(n0,X21)
& leq(n0,X20) )
=> a_select3(pminus_ds1_filter,X20,X21) = a_select3(pminus_ds1_filter,X21,X20) )
& ! [X3,X19] :
( ( leq(X19,minus(n3,n1))
& leq(X3,minus(n3,n1))
& leq(n0,X19)
& leq(n0,X3) )
=> a_select3(r_ds1_filter,X3,X19) = a_select3(r_ds1_filter,X19,X3) )
& ! [X13,X17] :
( ( leq(X17,minus(n6,n1))
& leq(X13,minus(n6,n1))
& leq(n0,X17)
& leq(n0,X13) )
=> a_select3(q_ds1_filter,X13,X17) = a_select3(q_ds1_filter,X17,X13) ) )
=> ( ! [X15,X5] :
( ( leq(X5,minus(n6,n1))
& leq(X15,minus(n6,n1))
& leq(n0,X5)
& leq(n0,X15) )
=> a_select3(pminus_ds1_filter,X15,X5) = a_select3(pminus_ds1_filter,X5,X15) )
& ! [X4,X10] :
( ( leq(X10,minus(n3,n1))
& leq(X4,minus(n3,n1))
& leq(n0,X10)
& leq(n0,X4) )
=> a_select3(r_ds1_filter,X4,X10) = a_select3(r_ds1_filter,X10,X4) )
& ! [X27,X28] :
( ( leq(X28,minus(n6,n1))
& leq(X27,minus(n6,n1))
& leq(n0,X28)
& leq(n0,X27) )
=> a_select3(q_ds1_filter,X27,X28) = a_select3(q_ds1_filter,X28,X27) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.UwRRnQ4OtR/Vampire---4.8_1002',quaternion_ds1_symm_0015) ).
fof(f321,plain,
( ~ spl9_7
| spl9_3
| ~ spl9_4
| ~ spl9_5
| ~ spl9_6 ),
inference(avatar_split_clause,[],[f304,f274,f269,f264,f259,f279]) ).
fof(f279,plain,
( spl9_7
<=> leq(n0,sK6) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_7])]) ).
fof(f259,plain,
( spl9_3
<=> sQ8_eqProxy(a_select3(pminus_ds1_filter,sK6,sK7),a_select3(pminus_ds1_filter,sK7,sK6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_3])]) ).
fof(f264,plain,
( spl9_4
<=> leq(sK7,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_4])]) ).
fof(f269,plain,
( spl9_5
<=> leq(sK6,minus(n6,n1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_5])]) ).
fof(f274,plain,
( spl9_6
<=> leq(n0,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl9_6])]) ).
fof(f304,plain,
( ~ leq(n0,sK6)
| spl9_3
| ~ spl9_4
| ~ spl9_5
| ~ spl9_6 ),
inference(subsumption_resolution,[],[f303,f276]) ).
fof(f276,plain,
( leq(n0,sK7)
| ~ spl9_6 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f303,plain,
( ~ leq(n0,sK7)
| ~ leq(n0,sK6)
| spl9_3
| ~ spl9_4
| ~ spl9_5 ),
inference(subsumption_resolution,[],[f302,f271]) ).
fof(f271,plain,
( leq(sK6,minus(n6,n1))
| ~ spl9_5 ),
inference(avatar_component_clause,[],[f269]) ).
fof(f302,plain,
( ~ leq(sK6,minus(n6,n1))
| ~ leq(n0,sK7)
| ~ leq(n0,sK6)
| spl9_3
| ~ spl9_4 ),
inference(subsumption_resolution,[],[f299,f266]) ).
fof(f266,plain,
( leq(sK7,minus(n6,n1))
| ~ spl9_4 ),
inference(avatar_component_clause,[],[f264]) ).
fof(f299,plain,
( ~ leq(sK7,minus(n6,n1))
| ~ leq(sK6,minus(n6,n1))
| ~ leq(n0,sK7)
| ~ leq(n0,sK6)
| spl9_3 ),
inference(resolution,[],[f261,f228]) ).
fof(f228,plain,
! [X2,X3] :
( sQ8_eqProxy(a_select3(pminus_ds1_filter,X2,X3),a_select3(pminus_ds1_filter,X3,X2))
| ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) ),
inference(equality_proxy_replacement,[],[f152,f224]) ).
fof(f152,plain,
! [X2,X3] :
( a_select3(pminus_ds1_filter,X2,X3) = a_select3(pminus_ds1_filter,X3,X2)
| ~ leq(X3,minus(n6,n1))
| ~ leq(X2,minus(n6,n1))
| ~ leq(n0,X3)
| ~ leq(n0,X2) ),
inference(cnf_transformation,[],[f136]) ).
fof(f261,plain,
( ~ sQ8_eqProxy(a_select3(pminus_ds1_filter,sK6,sK7),a_select3(pminus_ds1_filter,sK7,sK6))
| spl9_3 ),
inference(avatar_component_clause,[],[f259]) ).
fof(f298,plain,
~ spl9_2,
inference(avatar_split_clause,[],[f297,f255]) ).
fof(f255,plain,
( spl9_2
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl9_2])]) ).
fof(f297,plain,
~ sP1,
inference(subsumption_resolution,[],[f296,f140]) ).
fof(f140,plain,
( ~ sP1
| leq(n0,sK2) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
( ( a_select3(r_ds1_filter,sK2,sK3) != a_select3(r_ds1_filter,sK3,sK2)
& leq(sK3,minus(n3,n1))
& leq(sK2,minus(n3,n1))
& leq(n0,sK3)
& leq(n0,sK2) )
| ~ sP1 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3])],[f127,f128]) ).
fof(f128,plain,
( ? [X0,X1] :
( a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0)
& leq(X1,minus(n3,n1))
& leq(X0,minus(n3,n1))
& leq(n0,X1)
& leq(n0,X0) )
=> ( a_select3(r_ds1_filter,sK2,sK3) != a_select3(r_ds1_filter,sK3,sK2)
& leq(sK3,minus(n3,n1))
& leq(sK2,minus(n3,n1))
& leq(n0,sK3)
& leq(n0,sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
( ? [X0,X1] :
( a_select3(r_ds1_filter,X0,X1) != a_select3(r_ds1_filter,X1,X0)
& leq(X1,minus(n3,n1))
& leq(X0,minus(n3,n1))
& leq(n0,X1)
& leq(n0,X0) )
| ~ sP1 ),
inference(rectify,[],[f126]) ).
fof(f126,plain,
( ? [X8,X9] :
( a_select3(r_ds1_filter,X8,X9) != a_select3(r_ds1_filter,X9,X8)
& leq(X9,minus(n3,n1))
& leq(X8,minus(n3,n1))
& leq(n0,X9)
& leq(n0,X8) )
| ~ sP1 ),
inference(nnf_transformation,[],[f124]) ).
fof(f296,plain,
( ~ leq(n0,sK2)
| ~ sP1 ),
inference(subsumption_resolution,[],[f295,f141]) ).
fof(f141,plain,
( ~ sP1
| leq(n0,sK3) ),
inference(cnf_transformation,[],[f129]) ).
fof(f295,plain,
( ~ leq(n0,sK3)
| ~ leq(n0,sK2)
| ~ sP1 ),
inference(subsumption_resolution,[],[f294,f142]) ).
fof(f142,plain,
( ~ sP1
| leq(sK2,minus(n3,n1)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f294,plain,
( ~ leq(sK2,minus(n3,n1))
| ~ leq(n0,sK3)
| ~ leq(n0,sK2)
| ~ sP1 ),
inference(subsumption_resolution,[],[f287,f143]) ).
fof(f143,plain,
( ~ sP1
| leq(sK3,minus(n3,n1)) ),
inference(cnf_transformation,[],[f129]) ).
fof(f287,plain,
( ~ leq(sK3,minus(n3,n1))
| ~ leq(sK2,minus(n3,n1))
| ~ leq(n0,sK3)
| ~ leq(n0,sK2)
| ~ sP1 ),
inference(resolution,[],[f229,f225]) ).
fof(f225,plain,
( ~ sQ8_eqProxy(a_select3(r_ds1_filter,sK2,sK3),a_select3(r_ds1_filter,sK3,sK2))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f144,f224]) ).
fof(f144,plain,
( a_select3(r_ds1_filter,sK2,sK3) != a_select3(r_ds1_filter,sK3,sK2)
| ~ sP1 ),
inference(cnf_transformation,[],[f129]) ).
fof(f229,plain,
! [X4,X5] :
( sQ8_eqProxy(a_select3(r_ds1_filter,X4,X5),a_select3(r_ds1_filter,X5,X4))
| ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) ),
inference(equality_proxy_replacement,[],[f151,f224]) ).
fof(f151,plain,
! [X4,X5] :
( a_select3(r_ds1_filter,X4,X5) = a_select3(r_ds1_filter,X5,X4)
| ~ leq(X5,minus(n3,n1))
| ~ leq(X4,minus(n3,n1))
| ~ leq(n0,X5)
| ~ leq(n0,X4) ),
inference(cnf_transformation,[],[f136]) ).
fof(f282,plain,
( spl9_1
| spl9_2
| spl9_7 ),
inference(avatar_split_clause,[],[f153,f279,f255,f251]) ).
fof(f153,plain,
( leq(n0,sK6)
| sP1
| sP0 ),
inference(cnf_transformation,[],[f136]) ).
fof(f277,plain,
( spl9_1
| spl9_2
| spl9_6 ),
inference(avatar_split_clause,[],[f154,f274,f255,f251]) ).
fof(f154,plain,
( leq(n0,sK7)
| sP1
| sP0 ),
inference(cnf_transformation,[],[f136]) ).
fof(f272,plain,
( spl9_1
| spl9_2
| spl9_5 ),
inference(avatar_split_clause,[],[f155,f269,f255,f251]) ).
fof(f155,plain,
( leq(sK6,minus(n6,n1))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f136]) ).
fof(f267,plain,
( spl9_1
| spl9_2
| spl9_4 ),
inference(avatar_split_clause,[],[f156,f264,f255,f251]) ).
fof(f156,plain,
( leq(sK7,minus(n6,n1))
| sP1
| sP0 ),
inference(cnf_transformation,[],[f136]) ).
fof(f262,plain,
( spl9_1
| spl9_2
| ~ spl9_3 ),
inference(avatar_split_clause,[],[f227,f259,f255,f251]) ).
fof(f227,plain,
( ~ sQ8_eqProxy(a_select3(pminus_ds1_filter,sK6,sK7),a_select3(pminus_ds1_filter,sK7,sK6))
| sP1
| sP0 ),
inference(equality_proxy_replacement,[],[f157,f224]) ).
fof(f157,plain,
( a_select3(pminus_ds1_filter,sK6,sK7) != a_select3(pminus_ds1_filter,sK7,sK6)
| sP1
| sP0 ),
inference(cnf_transformation,[],[f136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : SWV122+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.00/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Fri May 3 20:57:52 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.08/0.28 This is a FOF_THM_RFO_SEQ problem
% 0.08/0.28 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.UwRRnQ4OtR/Vampire---4.8_1002
% 0.44/0.68 % (1207)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2996ds/34Mi)
% 0.44/0.68 % (1209)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.44/0.68 % (1212)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.44/0.68 % (1208)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2996ds/51Mi)
% 0.44/0.68 % (1210)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.44/0.68 % (1214)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2996ds/56Mi)
% 0.44/0.68 % (1211)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2996ds/34Mi)
% 0.44/0.68 % (1213)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2996ds/83Mi)
% 0.44/0.69 % (1214)First to succeed.
% 0.44/0.69 % (1207)Also succeeded, but the first one will report.
% 0.44/0.69 % (1214)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1181"
% 0.44/0.69 % (1214)Refutation found. Thanks to Tanya!
% 0.44/0.69 % SZS status Theorem for Vampire---4
% 0.44/0.69 % SZS output start Proof for Vampire---4
% See solution above
% 0.44/0.69 % (1214)------------------------------
% 0.44/0.69 % (1214)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.44/0.69 % (1214)Termination reason: Refutation
% 0.44/0.69
% 0.44/0.69 % (1214)Memory used [KB]: 1182
% 0.44/0.69 % (1214)Time elapsed: 0.008 s
% 0.44/0.69 % (1214)Instructions burned: 10 (million)
% 0.44/0.69 % (1181)Success in time 0.39 s
% 0.44/0.69 % Vampire---4.8 exiting
%------------------------------------------------------------------------------