TSTP Solution File: SWW198+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW198+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 : n024.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 01:00:19 EDT 2023
% Result : Theorem 0.31s 0.64s
% Output : Refutation 0.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 11 unt; 0 def)
% Number of atoms : 37 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 17 ~; 9 |; 3 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-3 aty)
% Number of variables : 27 (; 19 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7022,plain,
$false,
inference(subsumption_resolution,[],[f7016,f4304]) ).
fof(f4304,plain,
~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____),
file('/export/starexec/sandbox2/tmp/tmp.rqCZkuHQfi/Vampire---4.8_28290',fact_o) ).
fof(f7016,plain,
c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,v_na____),
inference(resolution,[],[f7014,f6449]) ).
fof(f6449,plain,
! [X0] :
( sQ207_eqProxy(c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),sK190(X0))),X0)
| c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
inference(equality_proxy_replacement,[],[f4468,f6340]) ).
fof(f6340,plain,
! [X0,X1] :
( sQ207_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ207_eqProxy])]) ).
fof(f4468,plain,
! [X0] :
( c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),sK190(X0))) = X0
| c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ),
inference(cnf_transformation,[],[f3354]) ).
fof(f3354,plain,
! [X0] :
( ( ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
| ! [X1] : c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X1)) != X0 )
& ( c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),sK190(X0))) = X0
| c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK190])],[f3352,f3353]) ).
fof(f3353,plain,
! [X0] :
( ? [X2] : c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X2)) = X0
=> c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),sK190(X0))) = X0 ),
introduced(choice_axiom,[]) ).
fof(f3352,plain,
! [X0] :
( ( ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
| ! [X1] : c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X1)) != X0 )
& ( ? [X2] : c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X2)) = X0
| c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ) ),
inference(rectify,[],[f3351]) ).
fof(f3351,plain,
! [X0] :
( ( ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
| ! [X1] : c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X1)) != X0 )
& ( ? [X1] : c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X1)) = X0
| c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0) ) ),
inference(nnf_transformation,[],[f1296]) ).
fof(f1296,plain,
! [X0] :
( ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X0)
<=> ? [X1] : c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X1)) = X0 ),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X2] :
( ~ c_Parity_Oeven__odd__class_Oeven(tc_Nat_Onat,X2)
<=> ? [X22] : c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X22)) = X2 ),
file('/export/starexec/sandbox2/tmp/tmp.rqCZkuHQfi/Vampire---4.8_28290',fact_odd__Suc__mult__two__ex) ).
fof(f7014,plain,
! [X0] : ~ sQ207_eqProxy(c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0)),v_na____),
inference(resolution,[],[f6341,f7012]) ).
fof(f7012,plain,
! [X0,X1] :
( sQ207_eqProxy(X1,X0)
| ~ sQ207_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f6340]) ).
fof(f6341,plain,
! [X0] : ~ sQ207_eqProxy(v_na____,c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0))),
inference(equality_proxy_replacement,[],[f4113,f6340]) ).
fof(f4113,plain,
! [X0] : v_na____ != c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0)),
inference(cnf_transformation,[],[f2079]) ).
fof(f2079,plain,
! [X0] : v_na____ != c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0)),
inference(ennf_transformation,[],[f1188]) ).
fof(f1188,plain,
~ ? [X0] : v_na____ = c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X0)),
inference(rectify,[],[f1187]) ).
fof(f1187,negated_conjecture,
~ ? [X22] : v_na____ = c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X22)),
inference(negated_conjecture,[],[f1186]) ).
fof(f1186,conjecture,
? [X22] : v_na____ = c_Nat_OSuc(c_Groups_Otimes__class_Otimes(tc_Nat_Onat,c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),X22)),
file('/export/starexec/sandbox2/tmp/tmp.rqCZkuHQfi/Vampire---4.8_28290',conj_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.24 % Problem : SWW198+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.25 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.26/0.45 % Computer : n024.cluster.edu
% 0.26/0.45 % Model : x86_64 x86_64
% 0.26/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.26/0.45 % Memory : 8042.1875MB
% 0.26/0.45 % OS : Linux 3.10.0-693.el7.x86_64
% 0.26/0.45 % CPULimit : 300
% 0.26/0.45 % WCLimit : 300
% 0.26/0.45 % DateTime : Sun Aug 27 19:48:38 EDT 2023
% 0.26/0.45 % CPUTime :
% 0.26/0.45 This is a FOF_THM_RFO_SEQ problem
% 0.26/0.45 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.rqCZkuHQfi/Vampire---4.8_28290
% 0.26/0.46 % (28431)Running in auto input_syntax mode. Trying TPTP
% 0.31/0.58 % (28438)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)
% 0.31/0.58 % (28437)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)
% 0.31/0.58 % (28435)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)
% 0.31/0.58 % (28436)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)
% 0.31/0.59 % (28433)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)
% 0.31/0.59 % (28432)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)
% 0.31/0.59 % (28434)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)
% 0.31/0.63 % (28438)First to succeed.
% 0.31/0.64 % (28438)Refutation found. Thanks to Tanya!
% 0.31/0.64 % SZS status Theorem for Vampire---4
% 0.31/0.64 % SZS output start Proof for Vampire---4
% See solution above
% 0.31/0.64 % (28438)------------------------------
% 0.31/0.64 % (28438)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.31/0.64 % (28438)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.31/0.64 % (28438)Termination reason: Refutation
% 0.31/0.64
% 0.31/0.64 % (28438)Memory used [KB]: 5245
% 0.31/0.64 % (28438)Time elapsed: 0.062 s
% 0.31/0.64 % (28438)------------------------------
% 0.31/0.64 % (28438)------------------------------
% 0.31/0.64 % (28431)Success in time 0.179 s
% 0.31/0.64 28436 Aborted by signal SIGHUP on /export/starexec/sandbox2/tmp/tmp.rqCZkuHQfi/Vampire---4.8_28290
% 0.31/0.64 % (28436)------------------------------
% 0.31/0.64 % (28436)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.31/0.64 % (28436)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.31/0.64 % (28436)Termination reason: Unknown
% 0.31/0.64 % (28436)Termination phase: Property scanning
% 0.31/0.64
% 0.31/0.64 % (28436)Memory used [KB]: 4989
% 0.31/0.64 % (28436)Time elapsed: 0.054 s
% 0.31/0.64 % (28436)------------------------------
% 0.31/0.64 % (28436)------------------------------
% 0.31/0.64 % Vampire---4.8 exiting
%------------------------------------------------------------------------------