TSTP Solution File: SWV629-1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWV629-1 : TPTP v8.1.2. Released v4.1.0.
% 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 : n007.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 : Thu Aug 31 23:29:02 EDT 2023
% Result : Unsatisfiable 0.23s 0.47s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 16 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 11 ( 6 ~; 4 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-3 aty)
% Number of variables : 12 (; 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f760,plain,
$false,
inference(unit_resulting_resolution,[],[f410,f731,f391,f676]) ).
fof(f676,plain,
! [X2,X0,X1] :
( sQ0_eqProxy(X0,X2)
| ~ sQ0_eqProxy(X1,X2)
| ~ sQ0_eqProxy(X0,X1) ),
inference(equality_proxy_axiom,[],[f390]) ).
fof(f390,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f391,plain,
~ sQ0_eqProxy(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat))),
inference(equality_proxy_replacement,[],[f352,f390]) ).
fof(f352,axiom,
c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) != c_FFT__Mirabelle_Oroot(c_HOL_Oone__class_Oone(tc_nat)),
file('/export/starexec/sandbox2/tmp/tmp.w4bZ8FXJQs/Vampire---4.8_31639',cls_conjecture_0) ).
fof(f731,plain,
! [X1] : sQ0_eqProxy(c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),tc_Complex_Ocomplex),X1),
inference(resolution,[],[f475,f383]) ).
fof(f383,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/tmp.w4bZ8FXJQs/Vampire---4.8_31639',clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult) ).
fof(f475,plain,
! [X2,X3] :
( ~ class_OrderedGroup_Omonoid__mult(X2)
| sQ0_eqProxy(c_Power_Opower__class_Opower(X3,c_HOL_Oone__class_Oone(tc_nat),X2),X3) ),
inference(equality_proxy_replacement,[],[f311,f390]) ).
fof(f311,axiom,
! [X2,X3] :
( ~ class_OrderedGroup_Omonoid__mult(X2)
| c_Power_Opower__class_Opower(X3,c_HOL_Oone__class_Oone(tc_nat),X2) = X3 ),
file('/export/starexec/sandbox2/tmp/tmp.w4bZ8FXJQs/Vampire---4.8_31639',cls_power__one__right_0) ).
fof(f410,plain,
! [X5] : sQ0_eqProxy(c_HOL_Oone__class_Oone(tc_Complex_Ocomplex),c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X5),X5,tc_Complex_Ocomplex)),
inference(equality_proxy_replacement,[],[f334,f390]) ).
fof(f334,axiom,
! [X5] : c_HOL_Oone__class_Oone(tc_Complex_Ocomplex) = c_Power_Opower__class_Opower(c_FFT__Mirabelle_Oroot(X5),X5,tc_Complex_Ocomplex),
file('/export/starexec/sandbox2/tmp/tmp.w4bZ8FXJQs/Vampire---4.8_31639',cls_root__unity_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.15 % Problem : SWV629-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.17 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.38 % Computer : n007.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Tue Aug 29 08:25:43 EDT 2023
% 0.16/0.38 % CPUTime :
% 0.16/0.38 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.16/0.38 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.w4bZ8FXJQs/Vampire---4.8_31639
% 0.16/0.39 % (31747)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.46 % (31752)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.46 % (31748)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.23/0.46 % (31753)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 0.23/0.46 % (31750)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.23/0.46 % (31751)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.46 % (31749)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.23/0.46 % (31754)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.47 % (31754)Refutation not found, incomplete strategy% (31754)------------------------------
% 0.23/0.47 % (31754)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.47 % (31754)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.47 % (31754)Termination reason: Refutation not found, incomplete strategy
% 0.23/0.47
% 0.23/0.47 % (31754)Memory used [KB]: 6012
% 0.23/0.47 % (31754)Time elapsed: 0.007 s
% 0.23/0.47 % (31754)------------------------------
% 0.23/0.47 % (31754)------------------------------
% 0.23/0.47 % (31749)First to succeed.
% 0.23/0.47 % (31749)Refutation found. Thanks to Tanya!
% 0.23/0.47 % SZS status Unsatisfiable for Vampire---4
% 0.23/0.47 % SZS output start Proof for Vampire---4
% See solution above
% 0.23/0.48 % (31749)------------------------------
% 0.23/0.48 % (31749)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.23/0.48 % (31749)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.23/0.48 % (31749)Termination reason: Refutation
% 0.23/0.48
% 0.23/0.48 % (31749)Memory used [KB]: 1791
% 0.23/0.48 % (31749)Time elapsed: 0.015 s
% 0.23/0.48 % (31749)------------------------------
% 0.23/0.48 % (31749)------------------------------
% 0.23/0.48 % (31747)Success in time 0.085 s
% 0.23/0.48 % Vampire---4.8 exiting
%------------------------------------------------------------------------------