TSTP Solution File: SWW234+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW234+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n027.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 : Fri Sep 1 01:00:33 EDT 2023
% Result : Theorem 6.16s 1.52s
% Output : Refutation 6.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 9
% Syntax : Number of formulae : 41 ( 19 unt; 0 def)
% Number of atoms : 89 ( 10 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 86 ( 38 ~; 30 |; 4 &)
% ( 2 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 58 (; 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f36616,plain,
$false,
inference(subsumption_resolution,[],[f36511,f3819]) ).
fof(f3819,plain,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1127]) ).
fof(f1127,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/tmp.R91mem4RCO/Vampire---4.8_3165',arity_RealDef__Oreal__RealVector_Oreal__normed__vector) ).
fof(f36511,plain,
~ class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
inference(resolution,[],[f36489,f4315]) ).
fof(f4315,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,[],[f2434]) ).
fof(f2434,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,[],[f1517]) ).
fof(f1517,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,[],[f185]) ).
fof(f185,axiom,
! [X4,X3] :
( class_RealVector_Oreal__normed__vector(X3)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X3,X4)) ),
file('/export/starexec/sandbox/tmp/tmp.R91mem4RCO/Vampire---4.8_3165',fact_norm__ge__zero) ).
fof(f36489,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____)),
inference(subsumption_resolution,[],[f36488,f3892]) ).
fof(f3892,plain,
class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
inference(cnf_transformation,[],[f1122]) ).
fof(f1122,axiom,
class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/tmp.R91mem4RCO/Vampire---4.8_3165',arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add) ).
fof(f36488,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____))
| ~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
inference(subsumption_resolution,[],[f36446,f5548]) ).
fof(f5548,plain,
! [X1] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X1),
inference(equality_resolution,[],[f4629]) ).
fof(f4629,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f3539]) ).
fof(f3539,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ( X0 != X1
& ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) )
& ( X0 = X1
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
inference(flattening,[],[f3538]) ).
fof(f3538,plain,
! [X0,X1] :
( ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ( X0 != X1
& ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) )
& ( X0 = X1
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0) ) ),
inference(nnf_transformation,[],[f1744]) ).
fof(f1744,plain,
! [X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
<=> ( X0 = X1
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X1,X0) ) ),
inference(rectify,[],[f157]) ).
fof(f157,axiom,
! [X20,X10] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X10,X20)
<=> ( X10 = X20
| c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,X10,X20) ) ),
file('/export/starexec/sandbox/tmp/tmp.R91mem4RCO/Vampire---4.8_3165',fact_less__eq__real__def) ).
fof(f36446,plain,
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),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_RealDef_Oreal,v_r____))
| ~ class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) ),
inference(resolution,[],[f6347,f5293]) ).
fof(f5293,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X0,X2))
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Groups_Oordered__comm__monoid__add(X3) ),
inference(cnf_transformation,[],[f3165]) ).
fof(f3165,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X0,X2))
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Groups_Oordered__comm__monoid__add(X3) ),
inference(flattening,[],[f3164]) ).
fof(f3164,plain,
! [X0,X1,X2,X3] :
( c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X0,X2))
| ~ c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
| ~ class_Groups_Oordered__comm__monoid__add(X3) ),
inference(ennf_transformation,[],[f2159]) ).
fof(f2159,plain,
! [X0,X1,X2,X3] :
( class_Groups_Oordered__comm__monoid__add(X3)
=> ( c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X2)
=> ( c_Orderings_Oord__class_Oless__eq(X3,X1,X0)
=> c_Orderings_Oord__class_Oless__eq(X3,X1,c_Groups_Oplus__class_Oplus(X3,X0,X2)) ) ) ),
inference(rectify,[],[f40]) ).
fof(f40,axiom,
! [X13,X15,X17,X3] :
( class_Groups_Oordered__comm__monoid__add(X3)
=> ( c_Orderings_Oord__class_Oless__eq(X3,c_Groups_Ozero__class_Ozero(X3),X17)
=> ( c_Orderings_Oord__class_Oless__eq(X3,X15,X13)
=> c_Orderings_Oord__class_Oless__eq(X3,X15,c_Groups_Oplus__class_Oplus(X3,X13,X17)) ) ) ),
file('/export/starexec/sandbox/tmp/tmp.R91mem4RCO/Vampire---4.8_3165',fact_add__increasing2) ).
fof(f6347,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,v_r____))),
inference(forward_demodulation,[],[f6262,f4076]) ).
fof(f4076,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
inference(cnf_transformation,[],[f1308]) ).
fof(f1308,plain,
! [X0] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X0) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X0),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X14] : c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal,X14) = c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,X14),
file('/export/starexec/sandbox/tmp/tmp.R91mem4RCO/Vampire---4.8_3165',fact_real__norm__def) ).
fof(f6262,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____))),
inference(resolution,[],[f5697,f4042]) ).
fof(f4042,plain,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,v_r____)),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
file('/export/starexec/sandbox/tmp/tmp.R91mem4RCO/Vampire---4.8_3165',fact_h) ).
fof(f5697,plain,
! [X4] :
( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X4,c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____))
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),X4) ),
inference(resolution,[],[f3812,f5085]) ).
fof(f5085,plain,
! [X2,X0,X1] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(cnf_transformation,[],[f3007]) ).
fof(f3007,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(flattening,[],[f3006]) ).
fof(f3006,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
| ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1) ),
inference(ennf_transformation,[],[f2034]) ).
fof(f2034,plain,
! [X0,X1,X2] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X1)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X1,X0)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X2,X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X7,X8,X9] :
( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9,X8)
=> ( c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X8,X7)
=> c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,X9,X7) ) ),
file('/export/starexec/sandbox/tmp/tmp.R91mem4RCO/Vampire---4.8_3165',fact_real__le__trans) ).
fof(f3812,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(cnf_transformation,[],[f1276]) ).
fof(f1276,plain,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(flattening,[],[f1275]) ).
fof(f1275,negated_conjecture,
~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
inference(negated_conjecture,[],[f1274]) ).
fof(f1274,conjecture,
c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,c_Groups_Oone__class_Oone(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,v_z____)),
file('/export/starexec/sandbox/tmp/tmp.R91mem4RCO/Vampire---4.8_3165',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.24 % Problem : SWW234+1 : TPTP v8.1.2. Released v5.2.0.
% 0.24/0.26 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.26/0.47 % Computer : n027.cluster.edu
% 0.26/0.47 % Model : x86_64 x86_64
% 0.26/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.47 % Memory : 8042.1875MB
% 0.26/0.47 % OS : Linux 3.10.0-693.el7.x86_64
% 0.26/0.47 % CPULimit : 300
% 0.26/0.47 % WCLimit : 300
% 0.26/0.47 % DateTime : Sun Aug 27 22:07:06 EDT 2023
% 0.26/0.47 % CPUTime :
% 0.26/0.47 This is a FOF_THM_RFO_SEQ problem
% 0.26/0.47 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.R91mem4RCO/Vampire---4.8_3165
% 0.26/0.47 % (3289)Running in auto input_syntax mode. Trying TPTP
% 0.33/0.59 % (3300)dis+1011_3:2_av=off:ep=RST:fsd=off:fde=none:gsp=on:nm=2:nwc=2.0:sos=on:sp=reverse_frequency_405 on Vampire---4 for (405ds/0Mi)
% 0.33/0.59 % (3296)lrs+1002_9_av=off:bs=on:bsr=on:bce=on:cond=on:drc=off:er=filter:flr=on:fsd=off:fsr=off:fde=unused:lcm=predicate:nm=2:nwc=1.3:sims=off:stl=62_466 on Vampire---4 for (466ds/0Mi)
% 0.33/0.60 % (3292)dis+1010_4:1_anc=none:bd=off:drc=off:flr=on:fsr=off:nm=4:nwc=1.1:nicw=on:sas=z3_957 on Vampire---4 for (957ds/0Mi)
% 0.33/0.60 % (3295)dis-1010_4:3_afr=on:amm=off:bsr=on:bce=on:drc=off:fsd=off:fde=unused:gs=on:gsaa=from_current:irw=on:nwc=1.3:nicw=on:sas=z3:tgt=full:urr=ec_only_619 on Vampire---4 for (619ds/0Mi)
% 0.33/0.60 % (3298)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_432 on Vampire---4 for (432ds/0Mi)
% 0.33/0.60 % (3294)lrs+1010_4_aac=none:add=off:afr=on:amm=off:anc=all_dependent:bd=off:cond=on:drc=off:flr=on:fde=none:gs=on:lma=on:nm=16:nwc=1.1:sims=off:sos=all:sac=on:sp=occurrence:stl=188_669 on Vampire---4 for (669ds/0Mi)
% 0.33/0.60 % (3290)lrs-1010_2_av=off:bce=on:cond=on:er=filter:fde=unused:lcm=predicate:nm=2:nwc=3.0:sims=off:sp=frequency:urr=on:stl=188_1064 on Vampire---4 for (1064ds/0Mi)
% 6.16/1.52 % (3294)First to succeed.
% 6.16/1.52 % (3294)Refutation found. Thanks to Tanya!
% 6.16/1.52 % SZS status Theorem for Vampire---4
% 6.16/1.52 % SZS output start Proof for Vampire---4
% See solution above
% 6.16/1.52 % (3294)------------------------------
% 6.16/1.52 % (3294)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 6.16/1.52 % (3294)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 6.16/1.52 % (3294)Termination reason: Refutation
% 6.16/1.52
% 6.16/1.52 % (3294)Memory used [KB]: 26609
% 6.16/1.52 % (3294)Time elapsed: 0.929 s
% 6.16/1.52 % (3294)------------------------------
% 6.16/1.52 % (3294)------------------------------
% 6.16/1.52 % (3289)Success in time 1.047 s
% 6.16/1.53 % Vampire---4.8 exiting
%------------------------------------------------------------------------------