TSTP Solution File: SWW261+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW261+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n004.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 : Mon Jun 24 18:31:48 EDT 2024
% Result : Theorem 9.70s 1.86s
% Output : Refutation 9.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 27
% Syntax : Number of formulae : 122 ( 33 unt; 0 def)
% Number of atoms : 272 ( 24 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 255 ( 105 ~; 103 |; 10 &)
% ( 13 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 11 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 109 ( 109 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6984,plain,
$false,
inference(avatar_sat_refutation,[],[f4548,f4591,f4727,f4755,f4770,f4788,f4989,f5057,f5161,f5220,f6983]) ).
fof(f6983,plain,
~ spl37_71,
inference(avatar_contradiction_clause,[],[f6982]) ).
fof(f6982,plain,
( $false
| ~ spl37_71 ),
inference(subsumption_resolution,[],[f6981,f3761]) ).
fof(f3761,plain,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1160]) ).
fof(f1160,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6981,plain,
( ~ class_Orderings_Opreorder(tc_RealDef_Oreal)
| ~ spl37_71 ),
inference(subsumption_resolution,[],[f6978,f3965]) ).
fof(f3965,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_t____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(consistent_polarity_flipping,[],[f2832]) ).
fof(f2832,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_t____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_t____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6978,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_t____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ class_Orderings_Opreorder(tc_RealDef_Oreal)
| ~ spl37_71 ),
inference(resolution,[],[f5219,f4496]) ).
fof(f4496,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
| c_Orderings_Oord__class_Oless(X2,X1,X0)
| ~ class_Orderings_Opreorder(X2) ),
inference(consistent_polarity_flipping,[],[f3749]) ).
fof(f3749,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
| ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
| ~ class_Orderings_Opreorder(X2) ),
inference(cnf_transformation,[],[f2787]) ).
fof(f2787,plain,
! [X0,X1,X2] :
( ( ( c_Orderings_Oord__class_Oless(X2,X1,X0)
| c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0) )
& ( ( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
& c_Orderings_Oord__class_Oless__eq(X2,X1,X0) )
| ~ c_Orderings_Oord__class_Oless(X2,X1,X0) ) )
| ~ class_Orderings_Opreorder(X2) ),
inference(flattening,[],[f2786]) ).
fof(f2786,plain,
! [X0,X1,X2] :
( ( ( c_Orderings_Oord__class_Oless(X2,X1,X0)
| c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
| ~ c_Orderings_Oord__class_Oless__eq(X2,X1,X0) )
& ( ( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
& c_Orderings_Oord__class_Oless__eq(X2,X1,X0) )
| ~ c_Orderings_Oord__class_Oless(X2,X1,X0) ) )
| ~ class_Orderings_Opreorder(X2) ),
inference(nnf_transformation,[],[f2514]) ).
fof(f2514,plain,
! [X0,X1,X2] :
( ( c_Orderings_Oord__class_Oless(X2,X1,X0)
<=> ( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
& c_Orderings_Oord__class_Oless__eq(X2,X1,X0) ) )
| ~ class_Orderings_Opreorder(X2) ),
inference(ennf_transformation,[],[f1896]) ).
fof(f1896,plain,
! [X0,X1,X2] :
( class_Orderings_Opreorder(X2)
=> ( c_Orderings_Oord__class_Oless(X2,X1,X0)
<=> ( ~ c_Orderings_Oord__class_Oless__eq(X2,X0,X1)
& c_Orderings_Oord__class_Oless__eq(X2,X1,X0) ) ) ),
inference(rectify,[],[f74]) ).
fof(f74,axiom,
! [X6,X7,X5] :
( class_Orderings_Opreorder(X5)
=> ( c_Orderings_Oord__class_Oless(X5,X7,X6)
<=> ( ~ c_Orderings_Oord__class_Oless__eq(X5,X6,X7)
& c_Orderings_Oord__class_Oless__eq(X5,X7,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5219,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),v_t____)
| ~ spl37_71 ),
inference(avatar_component_clause,[],[f5217]) ).
fof(f5217,plain,
( spl37_71
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),v_t____) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_71])]) ).
fof(f5220,plain,
( spl37_71
| spl37_65 ),
inference(avatar_split_clause,[],[f5215,f5158,f5217]) ).
fof(f5158,plain,
( spl37_65
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_t____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_65])]) ).
fof(f5215,plain,
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),v_t____)
| spl37_65 ),
inference(resolution,[],[f5160,f2818]) ).
fof(f2818,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1) ),
inference(cnf_transformation,[],[f1306]) ).
fof(f1306,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X0,X1)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X8,X9] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8,X9)
| c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5160,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_t____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| spl37_65 ),
inference(avatar_component_clause,[],[f5158]) ).
fof(f5161,plain,
( ~ spl37_65
| spl37_34
| ~ spl37_59 ),
inference(avatar_split_clause,[],[f5131,f4986,f4785,f5158]) ).
fof(f4785,plain,
( spl37_34
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_t____),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_34])]) ).
fof(f4986,plain,
( spl37_59
<=> v_t____ = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_t____) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_59])]) ).
fof(f5131,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,v_t____,c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| spl37_34
| ~ spl37_59 ),
inference(superposition,[],[f4787,f4988]) ).
fof(f4988,plain,
( v_t____ = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_t____)
| ~ spl37_59 ),
inference(avatar_component_clause,[],[f4986]) ).
fof(f4787,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_t____),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| spl37_34 ),
inference(avatar_component_clause,[],[f4785]) ).
fof(f5057,plain,
spl37_36,
inference(avatar_contradiction_clause,[],[f5056]) ).
fof(f5056,plain,
( $false
| spl37_36 ),
inference(subsumption_resolution,[],[f5055,f3761]) ).
fof(f5055,plain,
( ~ class_Orderings_Opreorder(tc_RealDef_Oreal)
| spl37_36 ),
inference(subsumption_resolution,[],[f5037,f3964]) ).
fof(f3964,plain,
~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____),
inference(consistent_polarity_flipping,[],[f2831]) ).
fof(f2831,plain,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f5037,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),v_t____)
| ~ class_Orderings_Opreorder(tc_RealDef_Oreal)
| spl37_36 ),
inference(resolution,[],[f4807,f4502]) ).
fof(f4502,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless(X2,X1,X0)
| c_Orderings_Oord__class_Oless(X2,X0,X1)
| ~ class_Orderings_Opreorder(X2) ),
inference(consistent_polarity_flipping,[],[f3755]) ).
fof(f3755,plain,
! [X2,X0,X1] :
( ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
| ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
| ~ class_Orderings_Opreorder(X2) ),
inference(cnf_transformation,[],[f2524]) ).
fof(f2524,plain,
! [X0,X1,X2] :
( ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
| ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
| ~ class_Orderings_Opreorder(X2) ),
inference(flattening,[],[f2523]) ).
fof(f2523,plain,
! [X0,X1,X2] :
( ~ c_Orderings_Oord__class_Oless(X2,X0,X1)
| ~ c_Orderings_Oord__class_Oless(X2,X1,X0)
| ~ class_Orderings_Opreorder(X2) ),
inference(ennf_transformation,[],[f1901]) ).
fof(f1901,plain,
! [X0,X1,X2] :
( class_Orderings_Opreorder(X2)
=> ( c_Orderings_Oord__class_Oless(X2,X1,X0)
=> ~ c_Orderings_Oord__class_Oless(X2,X0,X1) ) ),
inference(rectify,[],[f56]) ).
fof(f56,axiom,
! [X3,X4,X5] :
( class_Orderings_Opreorder(X5)
=> ( c_Orderings_Oord__class_Oless(X5,X4,X3)
=> ~ c_Orderings_Oord__class_Oless(X5,X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4807,plain,
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_t____,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| spl37_36 ),
inference(avatar_component_clause,[],[f4806]) ).
fof(f4806,plain,
( spl37_36
<=> c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_t____,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_36])]) ).
fof(f4989,plain,
( spl37_59
| ~ spl37_36 ),
inference(avatar_split_clause,[],[f4966,f4806,f4986]) ).
fof(f4966,plain,
( v_t____ = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_t____)
| ~ spl37_36 ),
inference(resolution,[],[f4808,f4029]) ).
fof(f4029,plain,
! [X0] :
( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = X0 ),
inference(consistent_polarity_flipping,[],[f3008]) ).
fof(f3008,plain,
! [X0] :
( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = X0
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
inference(cnf_transformation,[],[f2037]) ).
fof(f2037,plain,
! [X0] :
( ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = X0
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) )
& ( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0)
| ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)) ) ),
inference(ennf_transformation,[],[f1426]) ).
fof(f1426,plain,
! [X0] :
( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
=> c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = X0 )
& ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X0,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
=> c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X0) ) ),
inference(rectify,[],[f691]) ).
fof(f691,axiom,
! [X21] :
( ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X21,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
=> c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X21) = X21 )
& ( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X21,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
=> c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X21) = c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,X21) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4808,plain,
( c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,v_t____,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal))
| ~ spl37_36 ),
inference(avatar_component_clause,[],[f4806]) ).
fof(f4788,plain,
( ~ spl37_34
| spl37_24 ),
inference(avatar_split_clause,[],[f4783,f4724,f4785]) ).
fof(f4724,plain,
( spl37_24
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_24])]) ).
fof(f4783,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_t____),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| spl37_24 ),
inference(subsumption_resolution,[],[f4777,f4144]) ).
fof(f4144,plain,
~ class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
inference(consistent_polarity_flipping,[],[f3214]) ).
fof(f3214,plain,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1188]) ).
fof(f1188,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4777,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_t____),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex)
| spl37_24 ),
inference(superposition,[],[f4726,f3978]) ).
fof(f3978,plain,
! [X0,X1] :
( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = c_RealVector_Onorm__class_Onorm(X1,c_RealVector_Oof__real(X1,X0))
| class_RealVector_Oreal__normed__algebra__1(X1) ),
inference(consistent_polarity_flipping,[],[f2866]) ).
fof(f2866,plain,
! [X0,X1] :
( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = c_RealVector_Onorm__class_Onorm(X1,c_RealVector_Oof__real(X1,X0))
| ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
inference(cnf_transformation,[],[f1961]) ).
fof(f1961,plain,
! [X0,X1] :
( c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = c_RealVector_Onorm__class_Onorm(X1,c_RealVector_Oof__real(X1,X0))
| ~ class_RealVector_Oreal__normed__algebra__1(X1) ),
inference(ennf_transformation,[],[f1332]) ).
fof(f1332,plain,
! [X0,X1] :
( class_RealVector_Oreal__normed__algebra__1(X1)
=> c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0) = c_RealVector_Onorm__class_Onorm(X1,c_RealVector_Oof__real(X1,X0)) ),
inference(rectify,[],[f679]) ).
fof(f679,axiom,
! [X24,X5] :
( class_RealVector_Oreal__normed__algebra__1(X5)
=> c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X24) = c_RealVector_Onorm__class_Onorm(X5,c_RealVector_Oof__real(X5,X24)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4726,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| spl37_24 ),
inference(avatar_component_clause,[],[f4724]) ).
fof(f4770,plain,
spl37_22,
inference(avatar_contradiction_clause,[],[f4769]) ).
fof(f4769,plain,
( $false
| spl37_22 ),
inference(subsumption_resolution,[],[f4767,f4128]) ).
fof(f4128,plain,
~ class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(consistent_polarity_flipping,[],[f3196]) ).
fof(f3196,plain,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1192]) ).
fof(f1192,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4767,plain,
( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| spl37_22 ),
inference(resolution,[],[f4718,f4123]) ).
fof(f4123,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
| class_RealVector_Oreal__normed__vector(X1) ),
inference(consistent_polarity_flipping,[],[f3191]) ).
fof(f3191,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(cnf_transformation,[],[f2113]) ).
fof(f2113,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0))
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(ennf_transformation,[],[f1551]) ).
fof(f1551,plain,
! [X0,X1] :
( class_RealVector_Oreal__normed__vector(X1)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X0)) ),
inference(rectify,[],[f87]) ).
fof(f87,axiom,
! [X4,X5] :
( class_RealVector_Oreal__normed__vector(X5)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X4)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4718,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| spl37_22 ),
inference(avatar_component_clause,[],[f4716]) ).
fof(f4716,plain,
( spl37_22
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_22])]) ).
fof(f4755,plain,
spl37_23,
inference(avatar_contradiction_clause,[],[f4754]) ).
fof(f4754,plain,
( $false
| spl37_23 ),
inference(subsumption_resolution,[],[f4751,f4128]) ).
fof(f4751,plain,
( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| spl37_23 ),
inference(resolution,[],[f4722,f4123]) ).
fof(f4722,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)))
| spl37_23 ),
inference(avatar_component_clause,[],[f4720]) ).
fof(f4720,plain,
( spl37_23
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____))) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_23])]) ).
fof(f4727,plain,
( ~ spl37_22
| ~ spl37_23
| ~ spl37_24
| spl37_8 ),
inference(avatar_split_clause,[],[f4714,f4588,f4724,f4720,f4716]) ).
fof(f4588,plain,
( spl37_8
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_8])]) ).
fof(f4714,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| spl37_8 ),
inference(subsumption_resolution,[],[f4703,f4319]) ).
fof(f4319,plain,
~ class_Rings_Olinordered__idom(tc_RealDef_Oreal),
inference(consistent_polarity_flipping,[],[f3457]) ).
fof(f3457,plain,
class_Rings_Olinordered__idom(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1152]) ).
fof(f1152,axiom,
class_Rings_Olinordered__idom(tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4703,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),c_Groups_Oone__class_Oone(tc_RealDef_Oreal))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| class_Rings_Olinordered__idom(tc_RealDef_Oreal)
| spl37_8 ),
inference(resolution,[],[f4590,f4302]) ).
fof(f4302,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0),X1)
| ~ c_Orderings_Oord__class_Oless__eq(X2,X0,c_Groups_Oone__class_Oone(X2))
| ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X0)
| ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
| class_Rings_Olinordered__idom(X2) ),
inference(consistent_polarity_flipping,[],[f3440]) ).
fof(f3440,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0),X1)
| ~ c_Orderings_Oord__class_Oless__eq(X2,X0,c_Groups_Oone__class_Oone(X2))
| ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X0)
| ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
| ~ class_Rings_Olinordered__idom(X2) ),
inference(cnf_transformation,[],[f2281]) ).
fof(f2281,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0),X1)
| ~ c_Orderings_Oord__class_Oless__eq(X2,X0,c_Groups_Oone__class_Oone(X2))
| ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X0)
| ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
| ~ class_Rings_Olinordered__idom(X2) ),
inference(flattening,[],[f2280]) ).
fof(f2280,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0),X1)
| ~ c_Orderings_Oord__class_Oless__eq(X2,X0,c_Groups_Oone__class_Oone(X2))
| ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X0)
| ~ c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
| ~ class_Rings_Olinordered__idom(X2) ),
inference(ennf_transformation,[],[f1722]) ).
fof(f1722,plain,
! [X0,X1,X2] :
( class_Rings_Olinordered__idom(X2)
=> ( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)
=> ( c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X0)
=> ( c_Orderings_Oord__class_Oless__eq(X2,X0,c_Groups_Oone__class_Oone(X2))
=> c_Orderings_Oord__class_Oless__eq(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0),X1) ) ) ) ),
inference(rectify,[],[f107]) ).
fof(f107,axiom,
! [X3,X4,X5] :
( class_Rings_Olinordered__idom(X5)
=> ( c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X4)
=> ( c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X3)
=> ( c_Orderings_Oord__class_Oless__eq(X5,X3,c_Groups_Oone__class_Oone(X5))
=> c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X3),X4) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4590,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| spl37_8 ),
inference(avatar_component_clause,[],[f4588]) ).
fof(f4591,plain,
( ~ spl37_8
| spl37_1 ),
inference(avatar_split_clause,[],[f4586,f4545,f4588]) ).
fof(f4545,plain,
( spl37_1
<=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)) ),
introduced(avatar_definition,[new_symbols(naming,[spl37_1])]) ).
fof(f4586,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| spl37_1 ),
inference(forward_demodulation,[],[f4585,f2819]) ).
fof(f2819,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),
inference(cnf_transformation,[],[f1307]) ).
fof(f1307,plain,
! [X0,X1] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X1),X0) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X0),X1),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
! [X8,X9] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X9),X8) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),X8),X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4585,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| spl37_1 ),
inference(subsumption_resolution,[],[f4556,f4294]) ).
fof(f4294,plain,
~ class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
inference(consistent_polarity_flipping,[],[f3432]) ).
fof(f3432,plain,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
inference(cnf_transformation,[],[f1186]) ).
fof(f1186,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4556,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____))),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex)
| spl37_1 ),
inference(superposition,[],[f4547,f4290]) ).
fof(f4290,plain,
! [X2,X0,X1] :
( c_RealVector_Onorm__class_Onorm(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1)),c_RealVector_Onorm__class_Onorm(X2,X0))
| class_RealVector_Oreal__normed__div__algebra(X2) ),
inference(consistent_polarity_flipping,[],[f3428]) ).
fof(f3428,plain,
! [X2,X0,X1] :
( c_RealVector_Onorm__class_Onorm(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1)),c_RealVector_Onorm__class_Onorm(X2,X0))
| ~ class_RealVector_Oreal__normed__div__algebra(X2) ),
inference(cnf_transformation,[],[f2272]) ).
fof(f2272,plain,
! [X0,X1,X2] :
( c_RealVector_Onorm__class_Onorm(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1)),c_RealVector_Onorm__class_Onorm(X2,X0))
| ~ class_RealVector_Oreal__normed__div__algebra(X2) ),
inference(ennf_transformation,[],[f1716]) ).
fof(f1716,plain,
! [X0,X1,X2] :
( class_RealVector_Oreal__normed__div__algebra(X2)
=> c_RealVector_Onorm__class_Onorm(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X0)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,X1)),c_RealVector_Onorm__class_Onorm(X2,X0)) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X3,X4,X5] :
( class_RealVector_Oreal__normed__div__algebra(X5)
=> c_RealVector_Onorm__class_Onorm(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X4),X3)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X4)),c_RealVector_Onorm__class_Onorm(X5,X3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f4547,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____))
| spl37_1 ),
inference(avatar_component_clause,[],[f4545]) ).
fof(f4548,plain,
~ spl37_1,
inference(avatar_split_clause,[],[f2790,f4545]) ).
fof(f2790,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),
inference(cnf_transformation,[],[f1290]) ).
fof(f1290,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),
inference(flattening,[],[f1289]) ).
fof(f1289,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),
inference(negated_conjecture,[],[f1288]) ).
fof(f1288,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex),c_RealVector_Oof__real(tc_Complex_Ocomplex,v_t____)),v_w____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_w____)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW261+1 : TPTP v8.2.0. Released v5.2.0.
% 0.07/0.13 % Command : run_vampire %s %d THM
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Jun 19 08:39:54 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 % (16192)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.48 % (16194)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.21/0.49 % (16192)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.49 % (16198)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.21/0.49 % (16192)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.49 % (16195)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.21/0.49 % (16192)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.49 % (16196)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.21/0.49 % (16192)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.49 % (16197)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.21/0.49 % (16192)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.49 % (16199)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.21/0.49 % (16192)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.49 % (16193)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 1.11/0.59 % (16199)Instruction limit reached!
% 1.11/0.59 % (16199)------------------------------
% 1.11/0.59 % (16199)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.11/0.59 % (16199)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.11/0.59 % (16199)Termination reason: Time limit
% 1.11/0.59 % (16199)Termination phase: Saturation
% 1.11/0.59
% 1.11/0.59 % (16199)Memory used [KB]: 4961
% 1.11/0.59 % (16199)Time elapsed: 0.105 s
% 1.11/0.59 % (16199)Instructions burned: 282 (million)
% 1.11/0.59 % (16197)Instruction limit reached!
% 1.11/0.59 % (16197)------------------------------
% 1.11/0.59 % (16197)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.11/0.59 % (16197)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.11/0.59 % (16197)Termination reason: Time limit
% 1.11/0.59 % (16197)Termination phase: Saturation
% 1.11/0.59
% 1.11/0.59 % (16197)Memory used [KB]: 2708
% 1.11/0.59 % (16197)Time elapsed: 0.109 s
% 1.11/0.59 % (16197)Instructions burned: 253 (million)
% 1.11/0.62 % (16198)Instruction limit reached!
% 1.11/0.62 % (16198)------------------------------
% 1.11/0.62 % (16198)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.11/0.62 % (16198)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.11/0.62 % (16198)Termination reason: Time limit
% 1.11/0.62 % (16198)Termination phase: Saturation
% 1.11/0.62
% 1.11/0.62 % (16198)Memory used [KB]: 3316
% 1.11/0.62 % (16198)Time elapsed: 0.141 s
% 1.11/0.62 % (16198)Instructions burned: 347 (million)
% 1.11/0.63 % (16192)Running in auto input_syntax mode. Trying TPTP
% 1.11/0.63 % (16278)lrs+1010_1:1_sil=8000:sp=occurrence:urr=on:br=off:st=1.2:i=125:sd=7:ss=axioms:sgt=16_0 on theBenchmark for (2998ds/125Mi)
% 1.11/0.63 % (16192)Running in auto input_syntax mode. Trying TPTP
% 1.11/0.63 % (16279)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2998ds/402Mi)
% 1.63/0.66 % (16192)Running in auto input_syntax mode. Trying TPTP
% 1.63/0.66 % (16280)lrs+2_5:1_sil=2000:sos=on:acc=on:urr=on:alpa=false:i=325:sd=1:bd=off:nm=32:ss=axioms:br=off:sup=off:bs=on_0 on theBenchmark for (2998ds/325Mi)
% 1.63/0.67 % (16278)Instruction limit reached!
% 1.63/0.67 % (16278)------------------------------
% 1.63/0.67 % (16278)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.63/0.67 % (16278)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.63/0.67 % (16278)Termination reason: Time limit
% 1.63/0.67 % (16278)Termination phase: Saturation
% 1.63/0.67
% 1.63/0.67 % (16278)Memory used [KB]: 3586
% 1.63/0.67 % (16278)Time elapsed: 0.044 s
% 1.63/0.67 % (16278)Instructions burned: 125 (million)
% 1.87/0.70 % (16192)Running in auto input_syntax mode. Trying TPTP
% 1.87/0.70 % (16281)lrs+1011_1:1_to=lpo:drc=encompass:sil=4000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:erd=off:urr=on:lsd=100:i=267:sd=1:nm=2:ss=axioms:flr=on:sup=off_0 on theBenchmark for (2997ds/267Mi)
% 2.12/0.77 % (16279)Instruction limit reached!
% 2.12/0.77 % (16279)------------------------------
% 2.12/0.77 % (16279)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.12/0.77 % (16279)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.12/0.77 % (16279)Termination reason: Time limit
% 2.12/0.77 % (16279)Termination phase: Saturation
% 2.12/0.77
% 2.12/0.77 % (16279)Memory used [KB]: 7129
% 2.12/0.77 % (16279)Time elapsed: 0.145 s
% 2.12/0.77 % (16279)Instructions burned: 402 (million)
% 2.12/0.77 % (16280)Instruction limit reached!
% 2.12/0.77 % (16280)------------------------------
% 2.12/0.77 % (16280)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.12/0.77 % (16280)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.12/0.77 % (16280)Termination reason: Time limit
% 2.12/0.77 % (16280)Termination phase: Saturation
% 2.12/0.77
% 2.12/0.77 % (16280)Memory used [KB]: 4041
% 2.12/0.77 % (16280)Time elapsed: 0.116 s
% 2.12/0.77 % (16280)Instructions burned: 325 (million)
% 2.67/0.81 % (16281)Instruction limit reached!
% 2.67/0.81 % (16281)------------------------------
% 2.67/0.81 % (16281)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.67/0.81 % (16281)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.67/0.81 % (16281)Termination reason: Time limit
% 2.67/0.81 % (16281)Termination phase: Saturation
% 2.67/0.81
% 2.67/0.81 % (16281)Memory used [KB]: 3771
% 2.67/0.81 % (16281)Time elapsed: 0.122 s
% 2.67/0.81 % (16281)Instructions burned: 270 (million)
% 2.67/0.84 % (16192)Running in auto input_syntax mode. Trying TPTP
% 2.67/0.84 % (16303)lrs+33_1:1_sil=4000:sp=reverse_frequency:sos=all:i=156:sd=2:bd=off:nm=2:av=off:fsr=off:ss=axioms:sgt=10:rawr=on:sup=off:to=lpo:fs=off_0 on theBenchmark for (2996ds/156Mi)
% 2.67/0.84 % (16192)Running in auto input_syntax mode. Trying TPTP
% 2.67/0.84 % (16305)dis+1011_1:1_to=lpo:sil=4000:sp=const_max:sos=all:spb=goal:st=1.5:i=200:av=off:ss=axioms:sfv=off:bd=off:sd=2:fd=off_0 on theBenchmark for (2996ds/200Mi)
% 3.00/0.88 % (16192)Running in auto input_syntax mode. Trying TPTP
% 3.00/0.88 % (16308)dis-1010_1:4_sil=2000:tgt=ground:fd=off:i=203:sd=1:nm=4:av=off:ss=axioms:sgt=64:newcnf=on_0 on theBenchmark for (2996ds/203Mi)
% 3.00/0.91 % (16303)Instruction limit reached!
% 3.00/0.91 % (16303)------------------------------
% 3.00/0.91 % (16303)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.00/0.91 % (16303)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.00/0.91 % (16303)Termination reason: Time limit
% 3.00/0.91 % (16303)Termination phase: Saturation
% 3.00/0.91
% 3.00/0.91 % (16303)Memory used [KB]: 3022
% 3.00/0.91 % (16303)Time elapsed: 0.079 s
% 3.00/0.91 % (16303)Instructions burned: 157 (million)
% 3.50/0.96 % (16305)Instruction limit reached!
% 3.50/0.96 % (16305)------------------------------
% 3.50/0.96 % (16305)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.50/0.96 % (16305)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.50/0.96 % (16305)Termination reason: Time limit
% 3.50/0.96 % (16305)Termination phase: Saturation
% 3.50/0.96
% 3.50/0.96 % (16305)Memory used [KB]: 3401
% 3.50/0.96 % (16305)Time elapsed: 0.150 s
% 3.50/0.96 % (16305)Instructions burned: 201 (million)
% 3.50/0.97 % (16192)Running in auto input_syntax mode. Trying TPTP
% 3.50/0.97 % (16309)lrs+1002_1:8_sil=4000:sos=on:nicw=on:st=2.5:i=1027:ss=included:sd=7:ep=RS:erd=off_0 on theBenchmark for (2995ds/1027Mi)
% 3.50/0.98 % (16308)Instruction limit reached!
% 3.50/0.98 % (16308)------------------------------
% 3.50/0.98 % (16308)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.50/0.98 % (16308)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.50/0.98 % (16308)Termination reason: Time limit
% 3.50/0.98 % (16308)Termination phase: Saturation
% 3.50/0.98
% 3.50/0.98 % (16308)Memory used [KB]: 3044
% 3.50/0.98 % (16308)Time elapsed: 0.133 s
% 3.50/0.98 % (16308)Instructions burned: 203 (million)
% 3.98/1.03 % (16192)Running in auto input_syntax mode. Trying TPTP
% 3.98/1.03 % (16310)ott+10_107421:1048576_to=lpo:drc=off:sil=4000:fde=none:sos=on:lma=on:spb=intro:gs=on:nwc=24.2524:gsem=off:i=316:sd=3:afp=40000:awrs=decay:awrsf=1166:nm=6:afq=1.99252:uhcvi=on:ss=axioms:rawr=on:sp=const_max:add=off_0 on theBenchmark for (2994ds/316Mi)
% 3.98/1.03 % (16192)Running in auto input_syntax mode. Trying TPTP
% 3.98/1.03 % (16311)lrs+10_8:1_bsr=unit_only:sil=4000:urr=on:lcm=reverse:rp=on:i=426:sd=1:nm=6:av=off:ss=included:sup=off:sos=on_0 on theBenchmark for (2994ds/426Mi)
% 5.39/1.21 % (16310)Instruction limit reached!
% 5.39/1.21 % (16310)------------------------------
% 5.39/1.21 % (16310)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.39/1.21 % (16310)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.39/1.21 % (16310)Termination reason: Time limit
% 5.39/1.21 % (16310)Termination phase: Saturation
% 5.39/1.21
% 5.39/1.21 % (16310)Memory used [KB]: 4192
% 5.39/1.21 % (16310)Time elapsed: 0.211 s
% 5.39/1.21 % (16310)Instructions burned: 317 (million)
% 5.39/1.24 % (16311)Instruction limit reached!
% 5.39/1.24 % (16311)------------------------------
% 5.39/1.24 % (16311)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.39/1.24 % (16311)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.39/1.24 % (16311)Termination reason: Time limit
% 5.39/1.24 % (16311)Termination phase: Saturation
% 5.39/1.24
% 5.39/1.24 % (16311)Memory used [KB]: 7319
% 5.39/1.24 % (16311)Time elapsed: 0.230 s
% 5.39/1.24 % (16311)Instructions burned: 427 (million)
% 5.94/1.26 % (16192)Running in auto input_syntax mode. Trying TPTP
% 5.94/1.26 % (16312)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=260:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2992ds/260Mi)
% 5.94/1.30 % (16192)Running in auto input_syntax mode. Trying TPTP
% 5.94/1.30 % (16313)lrs+2_1:1_drc=encompass:sil=2000:urr=on:nwc=10.0:i=160:sd=3:fsr=off:ss=axioms:fd=preordered:bd=off:sup=off_0 on theBenchmark for (2991ds/160Mi)
% 6.36/1.38 % (16313)Instruction limit reached!
% 6.36/1.38 % (16313)------------------------------
% 6.36/1.38 % (16313)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.36/1.38 % (16313)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.36/1.38 % (16313)Termination reason: Time limit
% 6.36/1.38 % (16313)Termination phase: Saturation
% 6.36/1.38
% 6.36/1.38 % (16313)Memory used [KB]: 3635
% 6.36/1.38 % (16313)Time elapsed: 0.085 s
% 6.36/1.38 % (16313)Instructions burned: 161 (million)
% 6.36/1.41 % (16312)Instruction limit reached!
% 6.36/1.41 % (16312)------------------------------
% 6.36/1.41 % (16312)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.36/1.41 % (16312)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.36/1.41 % (16312)Termination reason: Time limit
% 6.36/1.41 % (16312)Termination phase: Saturation
% 6.36/1.41
% 6.36/1.41 % (16312)Memory used [KB]: 3833
% 6.36/1.41 % (16312)Time elapsed: 0.148 s
% 6.36/1.41 % (16312)Instructions burned: 260 (million)
% 7.11/1.44 % (16192)Running in auto input_syntax mode. Trying TPTP
% 7.11/1.44 % (16314)dis+11_5603931:1048576_bsr=on:sfv=off:slsqr=176855,1048576:sil=2000:plsq=on:plsqr=4348351,262144:sp=occurrence:spb=units:lcm=predicate:fd=off:nwc=1.37809:s2agt=10:slsq=on:s2a=on:i=462:bs=unit_only:sd=3:kws=arity_squared:slsql=off:bd=off:nm=26:av=off:ss=axioms:sgt=15:fsr=off_0 on theBenchmark for (2990ds/462Mi)
% 7.11/1.46 % (16309)Instruction limit reached!
% 7.11/1.46 % (16309)------------------------------
% 7.11/1.46 % (16309)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.11/1.46 % (16309)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.11/1.46 % (16309)Termination reason: Time limit
% 7.11/1.46 % (16309)Termination phase: Saturation
% 7.11/1.46
% 7.11/1.46 % (16309)Memory used [KB]: 9021
% 7.11/1.46 % (16309)Time elapsed: 0.511 s
% 7.11/1.46 % (16309)Instructions burned: 1029 (million)
% 7.11/1.47 % (16192)Running in auto input_syntax mode. Trying TPTP
% 7.11/1.47 % (16315)dis+1010_3:2_sil=4000:plsq=on:s2agt=100:sac=on:s2a=on:i=2185:s2at=2.0:ep=RS:tgt=full_0 on theBenchmark for (2990ds/2185Mi)
% 7.33/1.52 % (16192)Running in auto input_syntax mode. Trying TPTP
% 7.33/1.52 % (16316)dis+1002_1:2_to=lpo:sil=2000:sos=on:abs=on:newcnf=on:i=308:sd=1:bd=off:ss=included:rawr=on:sp=const_frequency:fsr=off:fs=off_0 on theBenchmark for (2989ds/308Mi)
% 8.84/1.69 % (16314)Instruction limit reached!
% 8.84/1.69 % (16314)------------------------------
% 8.84/1.69 % (16314)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.84/1.69 % (16314)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.84/1.69 % (16314)Termination reason: Time limit
% 8.84/1.69 % (16314)Termination phase: Saturation
% 8.84/1.69
% 8.84/1.69 % (16314)Memory used [KB]: 6152
% 8.84/1.69 % (16314)Time elapsed: 0.247 s
% 8.84/1.69 % (16314)Instructions burned: 462 (million)
% 8.84/1.69 % (16316)Instruction limit reached!
% 8.84/1.69 % (16316)------------------------------
% 8.84/1.69 % (16316)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.84/1.69 % (16316)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.84/1.69 % (16316)Termination reason: Time limit
% 8.84/1.69 % (16316)Termination phase: Saturation
% 8.84/1.69
% 8.84/1.69 % (16316)Memory used [KB]: 8544
% 8.84/1.69 % (16316)Time elapsed: 0.180 s
% 8.84/1.69 % (16316)Instructions burned: 308 (million)
% 8.84/1.74 % (16192)Running in auto input_syntax mode. Trying TPTP
% 8.84/1.74 % (16317)dis+1010_1:1_to=lpo:sil=2000:plsq=on:plsqr=32,1:sos=on:spb=goal:rp=on:i=336:bd=off:ins=4:ss=axioms:sgt=32:acc=on:fde=none_0 on theBenchmark for (2987ds/336Mi)
% 8.84/1.75 % (16192)Running in auto input_syntax mode. Trying TPTP
% 8.84/1.75 % (16318)dis+1010_16550053:1048576_to=lpo:ccuc=small_ones:sil=4000:fde=none:plsq=on:avsql=on:plsqr=34063,1048576:sp=const_min:sos=on:acc=model:plsql=on:nwc=10.3787:avsq=on:i=349:sd=1:avsqr=1084175,1048576:nm=0:amm=off:ss=axioms:bce=on:rawr=on:sup=off:bd=off_0 on theBenchmark for (2987ds/349Mi)
% 9.70/1.85 % (16317)First to succeed.
% 9.70/1.86 % (16317)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16192"
% 9.70/1.86 % (16192)Running in auto input_syntax mode. Trying TPTP
% 9.70/1.86 % (16317)Refutation found. Thanks to Tanya!
% 9.70/1.86 % SZS status Theorem for theBenchmark
% 9.70/1.86 % SZS output start Proof for theBenchmark
% See solution above
% 9.70/1.86 % (16317)------------------------------
% 9.70/1.86 % (16317)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 9.70/1.86 % (16317)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 9.70/1.86 % (16317)Termination reason: Refutation
% 9.70/1.86
% 9.70/1.86 % (16317)Memory used [KB]: 4442
% 9.70/1.86 % (16317)Time elapsed: 0.113 s
% 9.70/1.86 % (16317)Instructions burned: 216 (million)
% 9.70/1.86 % (16317)------------------------------
% 9.70/1.86 % (16317)------------------------------
% 9.70/1.86 % (16192)Success in time 1.433 s
%------------------------------------------------------------------------------