TSTP Solution File: GEO331+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : GEO331+1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n028.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 May 1 02:23:41 EDT 2024
% Result : Theorem 0.61s 0.83s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 16
% Syntax : Number of formulae : 78 ( 30 unt; 1 typ; 0 def)
% Number of atoms : 819 ( 209 equ)
% Maximal formula atoms : 13 ( 10 avg)
% Number of connectives : 533 ( 200 ~; 249 |; 68 &)
% ( 1 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of FOOLs : 409 ( 409 fml; 0 var)
% Number of types : 2 ( 0 usr)
% Number of type conns : 2 ( 1 >; 1 *; 0 +; 0 <<)
% Number of predicates : 13 ( 11 usr; 7 prp; 0-3 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 153 ( 126 !; 26 ?; 73 :)
% ( 1 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
tff(pred_def_16,type,
sQ20_eqProxy:
!>[X0: $tType] : ( ( X0 * X0 ) > $o ) ).
tff(f773,plain,
$false,
inference(subsumption_resolution,[],[f772,f564]) ).
tff(f564,plain,
sQ20_eqProxy($i,vangle(sK10,sK11,sK19),vangle(sK10,sK19,sK11)),
inference(equality_proxy_replacement,[],[f329,f541]) ).
tff(f541,plain,
! [X0: $tType,X2: X0,X1: X0] :
( sQ20_eqProxy(X0,X1,X2)
<=> ( X1 = X2 ) ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ20_eqProxy])]) ).
tff(f329,plain,
vangle(sK10,sK11,sK19) = vangle(sK10,sK19,sK11),
inference(definition_unfolding,[],[f287,f283,f288,f324,f283,f324,f288]) ).
tff(f324,plain,
vd1354 = sK19,
inference(cnf_transformation,[],[f250]) ).
tff(f250,plain,
( rpoint(sK19)
& ( vd1354 = sK19 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f7,f249]) ).
tff(f249,plain,
( ? [X0] :
( rpoint(X0)
& ( vd1354 = X0 ) )
=> ( rpoint(sK19)
& ( vd1354 = sK19 ) ) ),
introduced(choice_axiom,[]) ).
tff(f7,axiom,
? [X0] :
( rpoint(X0)
& ( vd1354 = X0 ) ),
file('/export/starexec/sandbox2/tmp/tmp.FwLXVUCzf7/Vampire---4.8_28515','qe(s3(plural(383)))') ).
tff(f288,plain,
vd1353 = sK11,
inference(cnf_transformation,[],[f234]) ).
tff(f234,plain,
( rpoint(sK11)
& ( vd1353 = sK11 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f140,f233]) ).
tff(f233,plain,
( ? [X0] :
( rpoint(X0)
& ( vd1353 = X0 ) )
=> ( rpoint(sK11)
& ( vd1353 = sK11 ) ) ),
introduced(choice_axiom,[]) ).
tff(f140,plain,
? [X0] :
( rpoint(X0)
& ( vd1353 = X0 ) ),
inference(rectify,[],[f8]) ).
tff(f8,axiom,
? [X1] :
( rpoint(X1)
& ( vd1353 = X1 ) ),
file('/export/starexec/sandbox2/tmp/tmp.FwLXVUCzf7/Vampire---4.8_28515','qe(s2(plural(383)))') ).
tff(f283,plain,
vd1352 = sK10,
inference(cnf_transformation,[],[f232]) ).
tff(f232,plain,
( rpoint(sK10)
& ( vd1352 = sK10 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f139,f231]) ).
tff(f231,plain,
( ? [X0] :
( rpoint(X0)
& ( vd1352 = X0 ) )
=> ( rpoint(sK10)
& ( vd1352 = sK10 ) ) ),
introduced(choice_axiom,[]) ).
tff(f139,plain,
? [X0] :
( rpoint(X0)
& ( vd1352 = X0 ) ),
inference(rectify,[],[f9]) ).
tff(f9,axiom,
? [X2] :
( rpoint(X2)
& ( vd1352 = X2 ) ),
file('/export/starexec/sandbox2/tmp/tmp.FwLXVUCzf7/Vampire---4.8_28515','qe(s1(plural(383)))') ).
tff(f287,plain,
vangle(vd1352,vd1353,vd1354) = vangle(vd1352,vd1354,vd1353),
inference(cnf_transformation,[],[f3]) ).
tff(f3,axiom,
vangle(vd1352,vd1353,vd1354) = vangle(vd1352,vd1354,vd1353),
file('/export/starexec/sandbox2/tmp/tmp.FwLXVUCzf7/Vampire---4.8_28515','holds(383, 1356, 0)') ).
tff(f772,plain,
~ sQ20_eqProxy($i,vangle(sK10,sK11,sK19),vangle(sK10,sK19,sK11)),
inference(subsumption_resolution,[],[f771,f565]) ).
tff(f565,plain,
~ sQ20_eqProxy($i,sK11,sK19),
inference(equality_proxy_replacement,[],[f330,f541]) ).
tff(f330,plain,
sK11 != sK19,
inference(definition_unfolding,[],[f290,f288,f324]) ).
tff(f290,plain,
vd1353 != vd1354,
inference(cnf_transformation,[],[f4]) ).
tff(f4,axiom,
vd1353 != vd1354,
file('/export/starexec/sandbox2/tmp/tmp.FwLXVUCzf7/Vampire---4.8_28515','pred(383, 9)') ).
tff(f771,plain,
( sQ20_eqProxy($i,sK11,sK19)
| ~ sQ20_eqProxy($i,vangle(sK10,sK11,sK19),vangle(sK10,sK19,sK11)) ),
inference(subsumption_resolution,[],[f770,f563]) ).
tff(f563,plain,
~ sQ20_eqProxy($i,sK10,sK19),
inference(equality_proxy_replacement,[],[f328,f541]) ).
tff(f328,plain,
sK10 != sK19,
inference(definition_unfolding,[],[f286,f283,f324]) ).
tff(f286,plain,
vd1352 != vd1354,
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
vd1352 != vd1354,
file('/export/starexec/sandbox2/tmp/tmp.FwLXVUCzf7/Vampire---4.8_28515','pred(383, 8)') ).
tff(f770,plain,
( sQ20_eqProxy($i,sK10,sK19)
| sQ20_eqProxy($i,sK11,sK19)
| ~ sQ20_eqProxy($i,vangle(sK10,sK11,sK19),vangle(sK10,sK19,sK11)) ),
inference(subsumption_resolution,[],[f769,f562]) ).
tff(f562,plain,
~ sQ20_eqProxy($i,sK10,sK11),
inference(equality_proxy_replacement,[],[f327,f541]) ).
tff(f327,plain,
sK10 != sK11,
inference(definition_unfolding,[],[f285,f283,f288]) ).
tff(f285,plain,
vd1352 != vd1353,
inference(cnf_transformation,[],[f6]) ).
tff(f6,axiom,
vd1352 != vd1353,
file('/export/starexec/sandbox2/tmp/tmp.FwLXVUCzf7/Vampire---4.8_28515','pred(383, 7)') ).
tff(f769,plain,
( sQ20_eqProxy($i,sK10,sK11)
| sQ20_eqProxy($i,sK10,sK19)
| sQ20_eqProxy($i,sK11,sK19)
| ~ sQ20_eqProxy($i,vangle(sK10,sK11,sK19),vangle(sK10,sK19,sK11)) ),
inference(subsumption_resolution,[],[f768,f325]) ).
tff(f325,plain,
rpoint(sK19),
inference(cnf_transformation,[],[f250]) ).
tff(f768,plain,
( ~ rpoint(sK19)
| sQ20_eqProxy($i,sK10,sK11)
| sQ20_eqProxy($i,sK10,sK19)
| sQ20_eqProxy($i,sK11,sK19)
| ~ sQ20_eqProxy($i,vangle(sK10,sK11,sK19),vangle(sK10,sK19,sK11)) ),
inference(subsumption_resolution,[],[f767,f289]) ).
tff(f289,plain,
rpoint(sK11),
inference(cnf_transformation,[],[f234]) ).
tff(f767,plain,
( ~ rpoint(sK11)
| ~ rpoint(sK19)
| sQ20_eqProxy($i,sK10,sK11)
| sQ20_eqProxy($i,sK10,sK19)
| sQ20_eqProxy($i,sK11,sK19)
| ~ sQ20_eqProxy($i,vangle(sK10,sK11,sK19),vangle(sK10,sK19,sK11)) ),
inference(subsumption_resolution,[],[f766,f284]) ).
tff(f284,plain,
rpoint(sK10),
inference(cnf_transformation,[],[f232]) ).
tff(f766,plain,
( ~ rpoint(sK10)
| ~ rpoint(sK11)
| ~ rpoint(sK19)
| sQ20_eqProxy($i,sK10,sK11)
| sQ20_eqProxy($i,sK10,sK19)
| sQ20_eqProxy($i,sK11,sK19)
| ~ sQ20_eqProxy($i,vangle(sK10,sK11,sK19),vangle(sK10,sK19,sK11)) ),
inference(resolution,[],[f765,f542]) ).
tff(f542,plain,
~ sQ20_eqProxy($i,vf(sK10,sK11),vf(sK10,sK19)),
inference(equality_proxy_replacement,[],[f326,f541]) ).
tff(f326,plain,
vf(sK10,sK11) != vf(sK10,sK19),
inference(definition_unfolding,[],[f251,f283,f288,f283,f324]) ).
tff(f251,plain,
vf(vd1352,vd1353) != vf(vd1352,vd1354),
inference(cnf_transformation,[],[f128]) ).
tff(f128,plain,
vf(vd1352,vd1353) != vf(vd1352,vd1354),
inference(flattening,[],[f2]) ).
tff(f2,negated_conjecture,
( ~ vf(vd1352,vd1353) = vf(vd1352,vd1354) ),
inference(negated_conjecture,[],[f1]) ).
tff(f1,conjecture,
vf(vd1352,vd1353) = vf(vd1352,vd1354),
file('/export/starexec/sandbox2/tmp/tmp.FwLXVUCzf7/Vampire---4.8_28515','holds(384, 1360, 0)') ).
tff(f765,plain,
! [X3: $i,X4: $i,X5: $i] :
( sQ20_eqProxy($i,vf(X3,X4),vf(X3,X5))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| sQ20_eqProxy($i,X3,X4)
| sQ20_eqProxy($i,X3,X5)
| sQ20_eqProxy($i,X4,X5)
| ~ sQ20_eqProxy($i,vangle(X3,X4,X5),vangle(X3,X5,X4)) ),
inference(subsumption_resolution,[],[f764,f593]) ).
tff(f593,plain,
! [X3: $i,X4: $i,X5: $i] :
( ~ rless(vf(X3,X4),vf(X3,X5))
| sQ20_eqProxy($i,vf(X3,X4),vf(X3,X5))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| sQ20_eqProxy($i,X3,X4)
| sQ20_eqProxy($i,X3,X5)
| sQ20_eqProxy($i,X4,X5)
| ~ sQ20_eqProxy($i,vangle(X3,X4,X5),vangle(X3,X5,X4)) ),
inference(equality_proxy_replacement,[],[f537,f541]) ).
tff(f537,plain,
! [X3: $i,X4: $i,X5: $i] :
( ~ rless(vf(X3,X4),vf(X3,X5))
| ( vf(X3,X4) = vf(X3,X5) )
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ( X3 = X4 )
| ( X3 = X5 )
| ( X4 = X5 )
| ( vangle(X3,X4,X5) != vangle(X3,X5,X4) ) ),
inference(equality_resolution,[],[f536]) ).
tff(f536,plain,
! [X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ rless(vf(X3,X4),vf(X3,X2))
| ( vf(X3,X4) = vf(X3,X2) )
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ( X2 != X5 )
| ( X3 = X4 )
| ( X2 = X3 )
| ( X2 = X4 )
| ( vangle(X3,X2,X4) != vangle(X3,X4,X2) ) ),
inference(equality_resolution,[],[f535]) ).
tff(f535,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ~ rless(vf(X3,X1),vf(X3,X2))
| ( vf(X3,X2) = vf(X3,X1) )
| ~ rpoint(X3)
| ~ rpoint(X4)
| ( X1 != X4 )
| ~ rpoint(X5)
| ( X2 != X5 )
| ( X1 = X3 )
| ( X2 = X3 )
| ( X1 = X2 )
| ( vangle(X3,X2,X1) != vangle(X3,X1,X2) ) ),
inference(equality_resolution,[],[f322]) ).
tff(f322,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ~ rless(vf(X0,X1),vf(X0,X2))
| ( vf(X0,X1) = vf(X0,X2) )
| ~ rpoint(X3)
| ( X0 != X3 )
| ~ rpoint(X4)
| ( X1 != X4 )
| ~ rpoint(X5)
| ( X2 != X5 )
| ( X0 = X1 )
| ( X0 = X2 )
| ( X1 = X2 )
| ( vangle(X0,X2,X1) != vangle(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f203]) ).
tff(f203,plain,
! [X0,X1,X2] :
( ~ rless(vf(X0,X1),vf(X0,X2))
| ( vf(X0,X1) = vf(X0,X2) )
| ! [X3] :
( ~ rpoint(X3)
| ( X0 != X3 ) )
| ! [X4] :
( ~ rpoint(X4)
| ( X1 != X4 ) )
| ! [X5] :
( ~ rpoint(X5)
| ( X2 != X5 ) )
| ( X0 = X1 )
| ( X0 = X2 )
| ( X1 = X2 )
| ( vangle(X0,X2,X1) != vangle(X0,X1,X2) ) ),
inference(flattening,[],[f202]) ).
tff(f202,plain,
! [X0,X1,X2] :
( ~ rless(vf(X0,X1),vf(X0,X2))
| ( vf(X0,X1) = vf(X0,X2) )
| ! [X3] :
( ~ rpoint(X3)
| ( X0 != X3 ) )
| ! [X4] :
( ~ rpoint(X4)
| ( X1 != X4 ) )
| ! [X5] :
( ~ rpoint(X5)
| ( X2 != X5 ) )
| ( X0 = X1 )
| ( X0 = X2 )
| ( X1 = X2 )
| ( vangle(X0,X2,X1) != vangle(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f155]) ).
tff(f155,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( rpoint(X3)
& ( X0 = X3 ) )
& ? [X4] :
( rpoint(X4)
& ( X1 = X4 ) )
& ? [X5] :
( rpoint(X5)
& ( X2 = X5 ) )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( vangle(X0,X2,X1) = vangle(X0,X1,X2) ) )
=> ( ( vf(X0,X1) != vf(X0,X2) )
=> ~ rless(vf(X0,X1),vf(X0,X2)) ) ),
inference(rectify,[],[f11]) ).
tff(f11,axiom,
! [X3,X4,X5] :
( ( ? [X8] :
( rpoint(X8)
& ( X3 = X8 ) )
& ? [X7] :
( rpoint(X7)
& ( X4 = X7 ) )
& ? [X6] :
( rpoint(X6)
& ( X5 = X6 ) )
& ( X3 != X4 )
& ( X3 != X5 )
& ( X4 != X5 )
& ( vangle(X3,X4,X5) = vangle(X3,X5,X4) ) )
=> ( ( vf(X3,X4) != vf(X3,X5) )
=> ~ rless(vf(X3,X4),vf(X3,X5)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.FwLXVUCzf7/Vampire---4.8_28515','ass(cond(proof(385), 0), 1)') ).
tff(f764,plain,
! [X3: $i,X4: $i,X5: $i] :
( rless(vf(X3,X4),vf(X3,X5))
| sQ20_eqProxy($i,vf(X3,X4),vf(X3,X5))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| sQ20_eqProxy($i,X3,X4)
| sQ20_eqProxy($i,X3,X5)
| sQ20_eqProxy($i,X4,X5)
| ~ sQ20_eqProxy($i,vangle(X3,X4,X5),vangle(X3,X5,X4)) ),
inference(subsumption_resolution,[],[f594,f592]) ).
tff(f592,plain,
! [X3: $i,X4: $i,X5: $i] :
( ~ rless(vf(X3,X5),vf(X3,X4))
| sQ20_eqProxy($i,vf(X3,X4),vf(X3,X5))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| sQ20_eqProxy($i,X3,X4)
| sQ20_eqProxy($i,X3,X5)
| sQ20_eqProxy($i,X4,X5)
| ~ sQ20_eqProxy($i,vangle(X3,X4,X5),vangle(X3,X5,X4)) ),
inference(equality_proxy_replacement,[],[f534,f541]) ).
tff(f534,plain,
! [X3: $i,X4: $i,X5: $i] :
( ~ rless(vf(X3,X5),vf(X3,X4))
| ( vf(X3,X4) = vf(X3,X5) )
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ( X3 = X4 )
| ( X3 = X5 )
| ( X4 = X5 )
| ( vangle(X3,X4,X5) != vangle(X3,X5,X4) ) ),
inference(equality_resolution,[],[f533]) ).
tff(f533,plain,
! [X2: $i,X3: $i,X4: $i,X5: $i] :
( ~ rless(vf(X3,X2),vf(X3,X4))
| ( vf(X3,X4) = vf(X3,X2) )
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ( X2 != X5 )
| ( X3 = X4 )
| ( X2 = X3 )
| ( X2 = X4 )
| ( vangle(X3,X2,X4) != vangle(X3,X4,X2) ) ),
inference(equality_resolution,[],[f532]) ).
tff(f532,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( ~ rless(vf(X3,X2),vf(X3,X1))
| ( vf(X3,X2) = vf(X3,X1) )
| ~ rpoint(X3)
| ~ rpoint(X4)
| ( X1 != X4 )
| ~ rpoint(X5)
| ( X2 != X5 )
| ( X1 = X3 )
| ( X2 = X3 )
| ( X1 = X2 )
| ( vangle(X3,X2,X1) != vangle(X3,X1,X2) ) ),
inference(equality_resolution,[],[f321]) ).
tff(f321,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( ~ rless(vf(X0,X2),vf(X0,X1))
| ( vf(X0,X1) = vf(X0,X2) )
| ~ rpoint(X3)
| ( X0 != X3 )
| ~ rpoint(X4)
| ( X1 != X4 )
| ~ rpoint(X5)
| ( X2 != X5 )
| ( X0 = X1 )
| ( X0 = X2 )
| ( X1 = X2 )
| ( vangle(X0,X2,X1) != vangle(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f201]) ).
tff(f201,plain,
! [X0,X1,X2] :
( ~ rless(vf(X0,X2),vf(X0,X1))
| ( vf(X0,X1) = vf(X0,X2) )
| ! [X3] :
( ~ rpoint(X3)
| ( X0 != X3 ) )
| ! [X4] :
( ~ rpoint(X4)
| ( X1 != X4 ) )
| ! [X5] :
( ~ rpoint(X5)
| ( X2 != X5 ) )
| ( X0 = X1 )
| ( X0 = X2 )
| ( X1 = X2 )
| ( vangle(X0,X2,X1) != vangle(X0,X1,X2) ) ),
inference(flattening,[],[f200]) ).
tff(f200,plain,
! [X0,X1,X2] :
( ~ rless(vf(X0,X2),vf(X0,X1))
| ( vf(X0,X1) = vf(X0,X2) )
| ! [X3] :
( ~ rpoint(X3)
| ( X0 != X3 ) )
| ! [X4] :
( ~ rpoint(X4)
| ( X1 != X4 ) )
| ! [X5] :
( ~ rpoint(X5)
| ( X2 != X5 ) )
| ( X0 = X1 )
| ( X0 = X2 )
| ( X1 = X2 )
| ( vangle(X0,X2,X1) != vangle(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f154]) ).
tff(f154,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( rpoint(X3)
& ( X0 = X3 ) )
& ? [X4] :
( rpoint(X4)
& ( X1 = X4 ) )
& ? [X5] :
( rpoint(X5)
& ( X2 = X5 ) )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( vangle(X0,X2,X1) = vangle(X0,X1,X2) ) )
=> ( ( vf(X0,X1) != vf(X0,X2) )
=> ~ rless(vf(X0,X2),vf(X0,X1)) ) ),
inference(rectify,[],[f12]) ).
tff(f12,axiom,
! [X3,X4,X5] :
( ( ? [X8] :
( rpoint(X8)
& ( X3 = X8 ) )
& ? [X7] :
( rpoint(X7)
& ( X4 = X7 ) )
& ? [X6] :
( rpoint(X6)
& ( X5 = X6 ) )
& ( X3 != X4 )
& ( X3 != X5 )
& ( X4 != X5 )
& ( vangle(X3,X4,X5) = vangle(X3,X5,X4) ) )
=> ( ( vf(X3,X4) != vf(X3,X5) )
=> ~ rless(vf(X3,X5),vf(X3,X4)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.FwLXVUCzf7/Vampire---4.8_28515','ass(cond(proof(385), 0), 2)') ).
tff(f594,plain,
! [X3: $i,X4: $i,X5: $i] :
( rless(vf(X3,X5),vf(X3,X4))
| rless(vf(X3,X4),vf(X3,X5))
| sQ20_eqProxy($i,vf(X3,X4),vf(X3,X5))
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| sQ20_eqProxy($i,X3,X4)
| sQ20_eqProxy($i,X3,X5)
| sQ20_eqProxy($i,X4,X5)
| ~ sQ20_eqProxy($i,vangle(X3,X4,X5),vangle(X3,X5,X4)) ),
inference(equality_proxy_replacement,[],[f540,f541]) ).
tff(f540,plain,
! [X3: $i,X4: $i,X5: $i] :
( rless(vf(X3,X5),vf(X3,X4))
| rless(vf(X3,X4),vf(X3,X5))
| ( vf(X3,X4) = vf(X3,X5) )
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ( X3 = X4 )
| ( X3 = X5 )
| ( X4 = X5 )
| ( vangle(X3,X4,X5) != vangle(X3,X5,X4) ) ),
inference(equality_resolution,[],[f539]) ).
tff(f539,plain,
! [X2: $i,X3: $i,X4: $i,X5: $i] :
( rless(vf(X3,X2),vf(X3,X4))
| rless(vf(X3,X4),vf(X3,X2))
| ( vf(X3,X4) = vf(X3,X2) )
| ~ rpoint(X3)
| ~ rpoint(X4)
| ~ rpoint(X5)
| ( X2 != X5 )
| ( X3 = X4 )
| ( X2 = X3 )
| ( X2 = X4 )
| ( vangle(X3,X2,X4) != vangle(X3,X4,X2) ) ),
inference(equality_resolution,[],[f538]) ).
tff(f538,plain,
! [X2: $i,X3: $i,X1: $i,X4: $i,X5: $i] :
( rless(vf(X3,X2),vf(X3,X1))
| rless(vf(X3,X1),vf(X3,X2))
| ( vf(X3,X2) = vf(X3,X1) )
| ~ rpoint(X3)
| ~ rpoint(X4)
| ( X1 != X4 )
| ~ rpoint(X5)
| ( X2 != X5 )
| ( X1 = X3 )
| ( X2 = X3 )
| ( X1 = X2 )
| ( vangle(X3,X2,X1) != vangle(X3,X1,X2) ) ),
inference(equality_resolution,[],[f323]) ).
tff(f323,plain,
! [X2: $i,X3: $i,X0: $i,X1: $i,X4: $i,X5: $i] :
( rless(vf(X0,X2),vf(X0,X1))
| rless(vf(X0,X1),vf(X0,X2))
| ( vf(X0,X1) = vf(X0,X2) )
| ~ rpoint(X3)
| ( X0 != X3 )
| ~ rpoint(X4)
| ( X1 != X4 )
| ~ rpoint(X5)
| ( X2 != X5 )
| ( X0 = X1 )
| ( X0 = X2 )
| ( X1 = X2 )
| ( vangle(X0,X2,X1) != vangle(X0,X1,X2) ) ),
inference(cnf_transformation,[],[f205]) ).
tff(f205,plain,
! [X0,X1,X2] :
( rless(vf(X0,X2),vf(X0,X1))
| rless(vf(X0,X1),vf(X0,X2))
| ( vf(X0,X1) = vf(X0,X2) )
| ! [X3] :
( ~ rpoint(X3)
| ( X0 != X3 ) )
| ! [X4] :
( ~ rpoint(X4)
| ( X1 != X4 ) )
| ! [X5] :
( ~ rpoint(X5)
| ( X2 != X5 ) )
| ( X0 = X1 )
| ( X0 = X2 )
| ( X1 = X2 )
| ( vangle(X0,X2,X1) != vangle(X0,X1,X2) ) ),
inference(flattening,[],[f204]) ).
tff(f204,plain,
! [X0,X1,X2] :
( rless(vf(X0,X2),vf(X0,X1))
| rless(vf(X0,X1),vf(X0,X2))
| ( vf(X0,X1) = vf(X0,X2) )
| ! [X3] :
( ~ rpoint(X3)
| ( X0 != X3 ) )
| ! [X4] :
( ~ rpoint(X4)
| ( X1 != X4 ) )
| ! [X5] :
( ~ rpoint(X5)
| ( X2 != X5 ) )
| ( X0 = X1 )
| ( X0 = X2 )
| ( X1 = X2 )
| ( vangle(X0,X2,X1) != vangle(X0,X1,X2) ) ),
inference(ennf_transformation,[],[f156]) ).
tff(f156,plain,
! [X0,X1,X2] :
( ( ? [X3] :
( rpoint(X3)
& ( X0 = X3 ) )
& ? [X4] :
( rpoint(X4)
& ( X1 = X4 ) )
& ? [X5] :
( rpoint(X5)
& ( X2 = X5 ) )
& ( X0 != X1 )
& ( X0 != X2 )
& ( X1 != X2 )
& ( vangle(X0,X2,X1) = vangle(X0,X1,X2) ) )
=> ( ( vf(X0,X1) != vf(X0,X2) )
=> ( rless(vf(X0,X2),vf(X0,X1))
| rless(vf(X0,X1),vf(X0,X2)) ) ) ),
inference(rectify,[],[f10]) ).
tff(f10,axiom,
! [X3,X4,X5] :
( ( ? [X8] :
( rpoint(X8)
& ( X3 = X8 ) )
& ? [X7] :
( rpoint(X7)
& ( X4 = X7 ) )
& ? [X6] :
( rpoint(X6)
& ( X5 = X6 ) )
& ( X3 != X4 )
& ( X3 != X5 )
& ( X4 != X5 )
& ( vangle(X3,X4,X5) = vangle(X3,X5,X4) ) )
=> ( ( vf(X3,X4) != vf(X3,X5) )
=> ( rless(vf(X3,X5),vf(X3,X4))
| rless(vf(X3,X4),vf(X3,X5)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.FwLXVUCzf7/Vampire---4.8_28515','ass(cond(proof(385), 0), 0)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO331+1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.12 % 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
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Apr 30 19:18:45 EDT 2024
% 0.12/0.32 % CPUTime :
% 0.12/0.32 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.33 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.FwLXVUCzf7/Vampire---4.8_28515
% 0.61/0.81 % (28632)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.81 % (28631)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.81 % (28629)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 (2995ds/34Mi)
% 0.61/0.81 % (28630)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 (2995ds/51Mi)
% 0.61/0.81 % (28634)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.81 % (28633)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 (2995ds/34Mi)
% 0.61/0.81 % (28635)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 (2995ds/83Mi)
% 0.61/0.81 % (28636)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 (2995ds/56Mi)
% 0.61/0.82 % (28632)Refutation not found, incomplete strategy% (28632)------------------------------
% 0.61/0.82 % (28632)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (28632)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (28632)Memory used [KB]: 1283
% 0.61/0.82 % (28632)Time elapsed: 0.004 s
% 0.61/0.82 % (28632)Instructions burned: 3 (million)
% 0.61/0.82 % (28632)------------------------------
% 0.61/0.82 % (28632)------------------------------
% 0.61/0.82 % (28637)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.61/0.82 % (28636)Refutation not found, incomplete strategy% (28636)------------------------------
% 0.61/0.82 % (28636)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (28636)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (28636)Memory used [KB]: 1561
% 0.61/0.82 % (28636)Time elapsed: 0.008 s
% 0.61/0.82 % (28636)Instructions burned: 14 (million)
% 0.61/0.82 % (28636)------------------------------
% 0.61/0.82 % (28636)------------------------------
% 0.61/0.82 % (28634)Refutation not found, incomplete strategy% (28634)------------------------------
% 0.61/0.82 % (28634)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.82 % (28634)Termination reason: Refutation not found, incomplete strategy
% 0.61/0.82
% 0.61/0.82 % (28634)Memory used [KB]: 1781
% 0.61/0.82 % (28634)Time elapsed: 0.010 s
% 0.61/0.82 % (28634)Instructions burned: 20 (million)
% 0.61/0.82 % (28634)------------------------------
% 0.61/0.82 % (28634)------------------------------
% 0.61/0.83 % (28638)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.61/0.83 % (28629)First to succeed.
% 0.61/0.83 % (28639)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.61/0.83 % (28633)Instruction limit reached!
% 0.61/0.83 % (28633)------------------------------
% 0.61/0.83 % (28633)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83 % (28633)Termination reason: Unknown
% 0.61/0.83 % (28633)Termination phase: Saturation
% 0.61/0.83
% 0.61/0.83 % (28633)Memory used [KB]: 2192
% 0.61/0.83 % (28633)Time elapsed: 0.016 s
% 0.61/0.83 % (28633)Instructions burned: 34 (million)
% 0.61/0.83 % (28633)------------------------------
% 0.61/0.83 % (28633)------------------------------
% 0.61/0.83 % (28629)Refutation found. Thanks to Tanya!
% 0.61/0.83 % SZS status Theorem for Vampire---4
% 0.61/0.83 % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.83 % (28629)------------------------------
% 0.61/0.83 % (28629)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.83 % (28629)Termination reason: Refutation
% 0.61/0.83
% 0.61/0.83 % (28629)Memory used [KB]: 1663
% 0.61/0.83 % (28629)Time elapsed: 0.015 s
% 0.61/0.83 % (28629)Instructions burned: 28 (million)
% 0.61/0.83 % (28629)------------------------------
% 0.61/0.83 % (28629)------------------------------
% 0.61/0.83 % (28624)Success in time 0.498 s
% 0.61/0.83 % Vampire---4.8 exiting
%------------------------------------------------------------------------------